Write the expression as a polynomial:
(a-2)(4a³-3a²)

Answers

Answer 1

Answer:

[tex]4a^{4} -11a^{3} + 6a^{2}[/tex]


Related Questions

Last year, the Ross family spent $3,336 for electricity. They are opting to use balanced billing for next year. What will their monthly payment be?

Answers

Using balanced billing, the monthly payment is $278

What will be their monthly payment?

Using balanced billing to determine their monthly payment, we simply need to divide their total annual payment by the total number of months in a year. This will result to dividing the entire annual bill by 12 to determine the monthly payment.

Given that the Ross family spent $3,336 for electricity last year, we can calculate their monthly payment as follows:

Monthly payment = Total cost / Number of months

Monthly payment = $3,336 / 12

Monthly payment  = $278

Therefore, the Ross family's monthly payment for balanced billing will be approximately $278.

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What is 50% of half of 10?

Answers

Answer:

2.5

Step-by-step explanation:

half of 10 is 10/2 = 5

so 50% of 5 is 2.5

Ravi has two and one-fourth meters of rope. He gives ninety-three centimeters of the rope to his brother. How many centimeters of rope does Ravi have left?

Answers

If he gives ninety-three centimeters of the rope to his brother, Ravi has 132 centimeters of rope left.

Two and one-fourth meters of rope can be written as 2.25 meters. Since 1 meter is equal to 100 centimeters, we can convert 2.25 meters to centimeters by multiplying it by 100, giving us 225 centimeters.

If Ravi gives 93 centimeters of the rope to his brother, we can subtract it from the original length to find how much rope he has left.

225 cm - 93 cm = 132 cm

In general, to convert between meters and centimeters, you can multiply the number of meters by 100 to get the length in centimeters. To convert between centimeters and meters, you can divide the number of centimeters by 100 to get the length in meters.

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Find the slope of the line through the points (4, 8) and (5, 10).

A. -1/2

B. 2

C. 1/2

D. -2

Answers

Answer:

2, answer choice B

Step-by-step explanation:

Slope = rise/run = (y2-y1)/(x2-x1).

You are given points (4,8) and (5,10).

slope = (8-10)/(4-5)

slope = (-2)/(-1)

slope = 2

The vertices of △JKL are J(−3, −2), K(1, 4), and L(4, 2). Find the vertices of the image of △JKL under the dilation centered at the origin with scale factor 5.

J′ = (
,
)

K′ = (
,
)

L′ = (
,
)

Answers

The vertices of the image triangle △JKL under the dilation centered at the origin with a scale factor of 5 are:

J′ = (−15, −10)

K′ = (5, 20)

L′ = (20, 10)

To find the vertices of the image of triangle △JKL under the dilation centered at the origin with a scale factor of 5, we need to multiply the coordinates of each vertex by the scale factor.

Let's apply the dilation to each vertex:

J(−3, −2) → J′ [tex]= (5 \times -3, 5 \times -2)[/tex] = (−15, −10)

K(1, 4) → K′ [tex]= (5 \times 1, 5 \times 4)[/tex] = (5, 20)

L(4, 2) → L′ [tex]= (5 \times 4, 5 \times 2)[/tex] = (20, 10)

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What the surface area

Answers

Step-by-step explanation:

the surface area is the sum of all areas of the individual outside faces/sides.

so, what do we see here, what outside sides do we have here ?

of course, we have to assume that this is a regular object (left and right sides are the same).

2 right-angled triangles (left and right).

1 rectangle in the back.

1 rectangle at the bottom.

1 times rectangle in the front.

the area of a right-angled triangle is

leg1 × leg2 / 2

in our case that is

6 × 2.5 /2 = 3 × 2.5 = 7.5 mm²

we have 2 of these triangles :

2×7.5 = 15 mm²

the area of the rectangle in the back is

8 × 6 = 48 mm²

the area of the rectangle at the bottom is

8 × 2.5 = 20 mm²

the area of the rectangle in the front is

8 × 6.5 = 52 mm²

the surface of the object is the sum of all that :

15 + 48 + 20 + 52 = 135 mm²

Rachel has discovered the perfect recipe for icing that she wants to put on top of her cinnamon buns. The recipe calls for 5 tablespoons (tbsp) of sugar for every 2 teaspoons (tsp) of milk. Rachel already made her cinnamon buns and is ready to put on the icing. She has 7 teaspoons of milk for her next batch. How many tablespoons of sugar does she need?​

Answers

Answer:

Step-by-step explanation:

Rachel already has 7 teaspoons of milk.

so 7 x 5 = 35

So Racheal will need 35 teaspoons of surger.

This week laptops are 25% off the original price. If the original price of a laptop was $300, what is the new sale price?

Answers

Answer:

$255

Step-by-step explanation:

25% in decimal form is 0.25

300 x 0.25 = 75

25% off means 300 - 75 = 255

answer is $255

need help with two part edulastic question

Answers

Know that surface area is squared and volume is cubed.

The surface area of a rectangular prism can be calculated using the formula:
A=2(wl+hl+hw)
A is the area, w is the width, l is the length, and h is the height.
A=2·(6.5·11+10·11+10·6.5)
A=493in^2
The surface area of this rectangular prism is 493in^2.

The volume of a rectangular prism can be calculated using the formula:
V=l x w x h
V=6.5·10·11
V=715in^3
The volume of this rectangular prism is 715in^3.

Hope this helped!

need help with edualastic question answer a b c or d

Answers

the amount of cubic feet(Volume) the tent can hold is 165 ft³.

What is volume?

Volume is the space occupied by an object.

To caculate the amount of cubic feet(Volume), the tent can hold, we use the formula below.

Formula:

V = bhL/2..................... Equation 1

Where:

V = Volume of the tenthb = Base of the triangleh = Height of the triangleL = Height of the tent

From the question,

Given:

b = 5 fth = 6 ftL = 11 ft

Substitute these values into equation 1

V = 5×6×11/2V = 165 ft³

Hence, the right option is (A) 165 ft³.

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a prime number that is between 48 and 58

Answers

Answer:

53 is prime. How are you in collage?

A prime number is a number that is only divisible by 1 and the number itself (examples include 3, 11, 19). The prime numbers between 40 and 60 are 41, 43, 47, 53, and 59.

Kevin got the following scores on his math tests this semester.
85, 94, 98, 88, 85, 92, 97, 81
What is his mean score so far?
ANSWERED


What score will Kevin need to get on his next test to raise his mean score to exactly 91?

Answers

Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.

To find out what score Kevin will need to get on his next test to raise his mean score to exactly 91, we can use the formula for the mean:

mean = (sum of all scores) / (number of scores)

We know the current mean score is:

mean = (85 + 94 + 98 + 88 + 85 + 92 + 97 + 81) / 8

          = 89.5

To raise the mean to 91, we can set up the equation:

(85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x) / 9 = 91

where x is the score Kevin needs to get on his next test.

Multiplying both sides of the equation by 9, we get:

85 + 94 + 98 + 88 + 85 + 92 + 97 + 81 + x = 819

Simplifying, we get:

710 + x = 819

Subtracting 710 from both sides, we get:

x = 109

Therefore, Kevin will need to get a score of 109 on his next test to raise his mean score to exactly 91.

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graphing stuff needs done soon

Answers

The value of x in each equation is:

a) x = -1

b) x = 3

c) x = 3

d) x = 9

e) x = -45

We have,

Substitute y = 2 in each equation.

a)

y = 6x + 8

2 = 6x + 8

2 - 8 = 6x

-6 = 6x

x = -1

b)

y = 2/3 x

2 = 2/3 x

x = 3

c)

y = -x + 5

2 = -x + 5

2 - 5 = -x

-3 = -x

x = 3

d)

y = 3/4 x - 2(1/2)

2 = 3/2 x - 5/2

2 + 5/2 = 3/2 x

9/2 = 3/2 x

x = 9

e)

y = 1.5 x + 11

2 = 1/5x + 11

2 - 11 = 1/5 x

-9 = 1/5 x

x = -45

Thus,

The value of x in each equation is:

a) x = -1

b) x = 3

c) x = 3

d) x = 9

e) x = -45

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When Mrs Munyai wanted to swim in her new pool, the temperature of the wate 19 °C and she said she would only swim if the temperature of the water was 25 °C temperature must increase by 6 °C. Calculate what the temperature change would be in °F. You may use the following formula: (°F-32) ÷ 1,8 = °C +​

Answers

The temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

[tex]\textdegree F = (\textdegree C * 1.8) + 32[/tex]

We need to calculate the temperature change of [tex]6 \textdegree C[/tex] in Fahrenheit:

[tex]\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8[/tex]

The temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

[tex]^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2[/tex]

[tex]^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77[/tex]

The current temperature of the pool is [tex]66.2 ^{\circ} F[/tex] and the desired temperature is [tex]77 ^{\circ} F[/tex].

Therefore the temperature needs to be increased by:

[tex]\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F[/tex]

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by [tex]10.8 ^{\circ}F[/tex] for Mrs. Munyai to swim in the pool.

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50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

The value of x will be 16.

Given ,

Parallelogram with two sides:

side 1 = 3x + 20

side 2 = 5x - 12

In parallelogram the opposite side are equal and parallel.

Thus,

side 1 and side 2 will be equal and parallel.

Equating both sides to get the value of x,

3x + 20 = 5x - 12

x = 16

Hence the value of x can be found out by property of parallelogram.

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Find the value of 20x when x = 10.
(a) 200
(c) 2
(b) 30
(d) 5​

Answers

The answer me was 200
The answer 200 a) 20x10=200

f(x) = (x − a) (x − b)
f(x) = (x − a) (x −b) (x-c)
Describe the relationship between these equations and
their graphs.

Answers

The relationship between graph of functions is described below.

Since we can see that,

Both equations are quadratic functions, meaning that their graphs are parabolic.

The first equation,

f(x) = (x - a)(x - b),

It represents a parabola that opens upwards or downwards depending on the values of a and b.

If a < b,

the parabola opens upwards,

and if a > b, it opens downwards.

To graph f(x),

we can first find its x-intercepts by setting f(x) = 0,

⇒ 0 = (x - a)(x - b)(x - c)

This gives us three x-intercepts,

⇒ x = a, x = b, and x = c.

The value of c is important because it determines the direction in which the parabola opens.

If c is greater than both a and b,

the parabola opens upwards, and if c is less than both a and b,

the parabola opens downwards.

If c is between a and b, the parabola has a minimum or maximum point.

Now, we can find the y-intercept by setting x = 0,

⇒  f(0) = (0 - a)(0 - b)(0 - c) = -abc

This tells us that the y-intercept is -abc.

To graph the parabola, we can plot the x-intercepts and the y-intercept, and then use the shape of the parabola to connect the points.

If the parabola opens upwards, it will have a minimum point at the vertex, and if it opens downwards, it will have a maximum point.

The second equation, f(x) = (x - a)(x - b)(x - c),

represents a cubic function,

meaning that its graph is a curve with either a local minimum or maximum.

To graph f(x), we can use the same process as above to find the x-intercepts and y-intercept, and then use the shape of the curve to connect the points.

After plotting can see, the cubic function has two local minima and one local maximum.

It also has a point of inflection at x = (a + b + c)/3.

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1. If an object has a mass of 12kg, it has a weight of​

Answers

Answer:

weight = gxg = 12kg to g = 0.12 and then using formula we get 0.12x0.12 = 1.44 is the weight

Step-by-step explanation:

Answer:

Therefore, the weight of the object is approximately 117.72 Newtons.

Step-by-step explanation:

The weight of an object is given by the formula:

weight = mass x acceleration due to gravity

The acceleration due to gravity on Earth is approximately 9.81 m/s².

So, the weight of an object with a mass of 12 kg is:

weight = 12 kg x 9.81 m/s² = 117.72 N

Therefore, the weight of the object is approximately 117.72 Newtons.

x^2 -5x + 29 = 8x -6

Answers

Answer:

Step-by-step explanation:

x²-5x+29=8x-6

x²-13x+35=0

[tex]x=\frac{13 \pm\sqrt{(-13)^2-4(1)(35)} }{2(1)} \\x=\frac{13 \pm\sqrt{169-140} }{2} \\x=\frac{13 \pm\sqrt{29} }{2}[/tex]

A ring was purchased in 2012 for $900the value of the ring increases by 7% each year, find the value of the ring in 2030. Round to the nearest cent

Answers

The value of the ring in 2030 would be; 2,034

Given that the Purchase price of the Diamond ring= $900

Value of ring increase by 7% each year.

First find a number of the year between 2012 and 2040,

Time period= 2030 - 2012    

Time period of value appreciation is 18 years.

Now, finding the value of a diamond ring increased after 28 years.

The value of ring increased after 18 years= 900 x 0.07 x 18

∴ Increased value of diamond ring after 18years= $1,134

Next, Value of diamond ring after 18 years= 1,134 + 900

Hence, value of a diamond ring in 2030 is $2,034

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There are approximately as many boys between 167 and 169 as there are between 169 and 170. True False

Answers

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

In statistics, understanding and interpreting data is an essential skill. One way to interpret data is by analyzing the distribution of values within a certain range.

To determine whether the statement is true or false, we need to analyze the distribution of boy's heights between the two ranges. Assuming the heights of boys are normally distributed, we can use the empirical rule, also known as the 68-95-99.7 rule, to estimate the percentage of boys within each range.

The empirical rule states that in a normal distribution:

68% of the values fall within one standard deviation of the mean

95% of the values fall within two standard deviations of the mean

99.7% of the values fall within three standard deviations of the mean

We can use this rule to estimate the percentage of boys within each range as follows:

Between 167 and 169: This range is one standard deviation below the mean. Therefore, approximately 68% of boys' heights fall within this range.

Between 169 and 170: This range is between one and two standard deviations below the mean. Therefore, approximately 27% of boys' heights fall within this range.

Based on this analysis, we can see that there are not approximately as many boys between 167 and 169 as there are between 169 and 170. In fact, there are significantly more boys between 167 and 169 than there are between 169 and 170.

The statement that there are approximately as many boys between 167 and 169 as there are between 169 and 170 is false.

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What is the volume of this
rectangular pyramid?
6 ft
8.4 ft
8.6 ft

Answers

The volume of the rectangular pyramid is 144.48 cubic feet.

What is a rectangular pyramid?

A pyramid with a rectangular base is known as a rectangle pyramid. When viewed from the bottom, this pyramid seems to be a rectangle. As a result, the base has two equal parallel sides.

The apex, which is located at the summit of the pyramid's base, serves as its crown. Right or oblique pyramids can be seen in rectangular shapes. If it is a right rectangular pyramid, the peak will be directly over the base's center; if it is an oblique rectangular pyramid, the apex will be angled away from the base's center.

The volume of a rectangular pyramid is given as:

[tex]\sf V = \dfrac{(l)(b)(h) }{3}[/tex]

[tex]\sf V = \dfrac{(8.4)(8.6)(6) }{3}[/tex]

[tex]\sf V = \dfrac{433.44 }{3}[/tex]

[tex]\sf V = 144.48 \ cubic \ feet[/tex].

Hence, the volume of the rectangular pyramid is 144.48 cubic feet.

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7. Mark wants to put a circular swimming
pool in his backyard. The base of the
pool has an area of 615.44 square feet,
and the rectangular section of the
yard where he wants to put the pool is
25 feet by 35 feet. Use this information
to answer Parts A and B.

Answers

Yes, the circular pool will fit into the rectangular section of the yard.

Part A: Given that, the base of the pool has an area of 615.44 square feet.

We know that, the area of a circle is πr².

Here, πr²=615.44

3.14r²=615.44

r²=615.44/3.14

r²=196

r=14 feet

Therefore, the diameter is 14×2=28 feet

Part B: The rectangular section of the yard where he wants to put the pool is 25 feet by 35 feet.

Area of a  rectangular section = Length×Breadth

= 25×35

= 875 square feet

Yes, the circular pool will fit into the rectangular section of the yard.

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"Your question is incomplete, probably the complete question/missing part is:"

Mark wants to put a circular swimming pool in his backyard. The base of the pool has an area of 615.44 square feet, and the rectangular section of the yard where he wants to put the pool is 25 feet by 35 feet. Use this information to answer Parts A and B.

Part A: What is the diameter of the swimming pool?

Part B: Will the pool fit in the rectangular section of the yard?

A rectangular prism.
What are the shapes of the cross sections formed by a plane slicing the rectangular pyramid?





A plane intersects the pyramid parallel to its base. The cross section is a
._____


A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a
_________

Answers

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. A plane intersects the pyramid parallel to its base. The cross section is a rectangle  A plane intersects the pyramid perpendicular to its base and through the top vertex. The cross section is a triangle

A plane intersecting a rectangular prism can create different cross-sectional shapes depending on the orientation of the plane. Let's explore the two scenarios you mentioned:

Plane parallel to the base: When a plane intersects the rectangular prism parallel to its base, the resulting cross section is also a rectangle. The shape of the cross section will have the same dimensions as the base of the rectangular prism.

Plane perpendicular to the base and through the top vertex: In this case, the cross section will be a triangle. The shape of the cross section will be determined by the intersection of the plane with the three sides of the rectangular prism. The base of the triangle will be formed by the side of the rectangular prism, while the other two sides will be formed by the edges connecting the top vertex of the pyramid to the corresponding vertices of the base.

It's important to note that a rectangular prism is different from a pyramid. A rectangular prism has six rectangular faces, while a pyramid has a polygonal base (in this case, a rectangle) and triangular faces converging to a single point called the apex or top vertex.

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What are the measure of angels 1 to 8

Answers

Let's just compare the angles to start - - - these are two parallel lines cut by another line (transversal), so there are a lot of equal angles.

Angles 1 and 5 are the same

Angles 2 and the 65 degree angles are the same.

Angles 4 and 8 are the same.

And 3 and 7 are the same.

There are even more similar angles:

1 and 3 are the same. 2 and 4 are the same.

5 and 7 are the same, and 8 and the 65 degree angle are the same.

So without any math, Angles 2, 4 and 8 are all 65 degrees.

So Angle 65 + Angle 5 = 180. Therefore Angle 5 = 115.

Therefore angle 7 is 115. (You could also say that 65+ Angle 7 = 180.)

Since angle 7 is 115, so is angle 3 and angle 1.

So in conclusion

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 7: 115

Angle 8: 65

Find the inverse of y = log₂x

Answers

Answer: 2ˣ =  y

Step-by-step explanation:

In order to find the inverse of any function, switch the x and the y, then solve for y.

y = log₂x               >swap/switch variables  and solve for y

x = log₂y              >rewrite in exponential form

2ˣ =  y

The arc length of a 330° sector is 33π. Find the area of the sector

Answers

The area of the sector is 297π units squared.

How to find the area of a sector?

The arc length of a 330° sector is 33π. Therefore, let's find the area of the sector.

Let's find the radius of the circle.

length of arc = ∅/ 360 × 2πr

where

∅= central angler = radius

Therefore,

33π = 330 / 360 × 2π × r

cross multiply

660πr = 11880π

divide both sides by 660π

r = 11880π / 660π

r = 18 units

Therefore,

area of the sector = 330 / 360 × π × 18²

area of the sector = 106920 / 360 π

area of the sector = 297π units²

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SECTION B - Skills Analysis Question 8 Use the diagram to determine the sum of the series 1 + 3 + 5 + 7 + ... + (2n-1) in terms of n. Show your reasoning and explanation fully. n : [4]​

Answers

Answer:

weel you have to start by addition of tose numbers and after you're done with the addition if the numbers you do 2n-1 which is equal to n so you use this formula to solve it hope this helps

Sam is training for a 5
km run. While training he runs for 6
minutes, then rests for 2
minutes, runs for 6
minutes, rests for 2
minutes, etc., until he finishes the 5
km. It takes him 26
minutes in total (with the rest periods) to finish the 5
km rum. If Sam runs at a constant speed (when he is not resting), what is this speed in kilometers per hour? (Recall there are 60
minutes in 1
hour.)

Answers

Answer:

15 km/h

Step-by-step explanation:

How many intervals of running and resting are needed to run and rest for 26 minutes?

Running is in parentheses, resting is not.

Each time he runs (6 minutes) and rests (2 minutes), he takes 8 minutes.

Three times this cycle is 24 minutes. He needs 2 more minutes of running to have a total of 26 minutes.

(6) + 2 + (6) + 2 + (6) + 2 + (2)

Add all the numbers in parentheses which are the times of running.

6 + 6 + 6 + 2 = 20

He ran for 20 minutes and rested for 6 minutes.

He ran 5 km in 20 minutes (of running).

speed = distance/time

speed = [5 km / (20 minutes)] × (60 minutes)/(1 hour)

speed = 15 km/h

Answer: 15 km/h

The graph show the probability distribution of a
random variable.
What is the value of P(2 < X <5)?
O 0.30
O 0.35
O 0.40
O 0.45
0.3
0.25
0.2
0.15
0.1
0.05
1
Probability Distribution
2
3 4
S.
9.
N
B

Answers

The solution is : the value of P(2≤X≤5) is 0.50.

Here, we have,

given that,

The graph show the probability distribution of a random variable.

we know that,

The probability distribution of a random variable X is P(X = xi) = pi for x = xi and P(X = xi) = 0 for x ≠ xi. The range of probability distribution for all possible values of a random variable is from 0 to 1, i.e., 0 ≤ p(x) ≤ 1.

so, we have,

P(2≤X≤5)

=P(x=2)+ P(x=3)+ P(x=4)+ P(x=5)

= 0.2+ 0.1 +0.05+0.15

= 0.50

Hence, The solution is : the value of P(2≤X≤5) is 0.50.

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Other Questions
pls answer this question 10. In an outline, one of these statements is a main topic, the other three are sub-topics.Which is the main topic? A) Convert People to ChristianityB) Competition for New TerritoriesC) Search for Raw MaterialsD) Reasons for Imperialism Part B: The weatherman claimed that the temperature on Friday was the opposite of Thursdays temperature. Which of the following statements support this claim? Select all that apply. A. The temperatures on Thursday and Friday are opposites because they are on different sides of 0 on the number line. B. The temperatures on Thursday and Friday are opposites because they have a sum of 0. C. The temperatures on Thursday and Friday are opposites because they both contain a 3. D. The temperatures on Thursday and Friday are opposites because they are the same distance from 0 on the number line. Evaluate each expression when y=5.B. 4(y+3) Read this section of Uriels report about flightless birds.Flightless birds are birds that cannot fly. Scientists do not agree on whether the ancestors of these birds could fly. However, most experts understand that flightless birds are missing body parts that allow other birds to fly.What should Uriel do to help his readers understand the text, and why? A. Set the terms flightless andancestors in boldface text so readers understand that these are key words that they should look up. B. Create a timeline showing when the ancestors of flightless birds became extinct so readers will understand when birds became flightless. C. Add a map showing the location of flightless birds in the world so readers understand the connection between flightlessness and country of origin. D. Include labeled illustrations of a flightless bird and a flying bird so readers understand which parts the flightless bird is missing that would allow it to fly. would principal in a sentence be capitalized? Help me plzzzz!!!!!! The family tree below shows the trait of having attached earlobes. Havingattached earlobes is recessive, and having detached earlobes is dominant.People with attached earlobes are shaded in.I.AII.III.Da) Describe the sex and characteristics of the person labeled A. (1 point) Marcia is at a store with a 20% off sale. She also has a coupon for an additional 10% off the sale price. Prove or disprove the following statement: A 20% discount on the original price of an item followed by the use of a 10% coupon, results in a total discount of 30%. It says 33cm its messed up because its on a laptop but whats the volume of this sphere :) DividendDivisorQuotient/ RemainderSAGOT752116.) 5417.) 10818.) 38019.) 63320.) 64827765732Solonihanda ni:NNA MARIE S. CARAITborrinoloticon Theodore Roosevelt supported powerful corporations that Select one: O a. were efficient. O b. did business fairly. c. controlled railroads. O d. bullied smaller companies. How does the author use specific details to explain what umami is? Use information from the text to support your answer.Umami, the Fifth Taste A potato chips sharp saltiness. A chocolate bars sweetness. The puckery sourness of a lemon. The bitterness of broccoli. Until recently, scientists agreed that these four were the only tastes our tongues detected, and that combinations of salty, sweet, sour, and bitter produced the complex flavors we enjoy in food. But first, what is taste? We taste with our tongues, although our noses contribute to what the senses experience when we eat. We have trouble tasting when we have a cold. Thats because our noses are responsible for creating what we recognize as flavor. Taste expert Professor Tom Finger defines flavor as a combination of taste and smell. Professor Finger offers a simple experiment that illustrates the difference between taste and flavor: Chew a jellybean while holding your nose closed. Can you recognize the flavor? But open your nose and keep chewing. You should know exactly what youre eating: cherry, strawberry, or watermelon. Taste happens on our tongues. If you look at your tongue in a mirror, youll see that it is covered with tiny bumps called papillae. Inside the papillae are cells too small to see; these are called taste buds. After you eat a potato chip, and the saliva in your mouth has begun to break it down, the chip moves over some of your tongues thousands of papillae and reaches the taste buds. Chemical receptors1 in the buds that respond to salt then send a salty signal to your brain. Some people, called supertasters, have more papillae than others. Supertasters react strongly to the tastes in foods, especially those that are bitter. The sides of our tongues are more sensitive than the middle, and the back is especially sensitive to bitterness. Scientists believe that this extra sensitivity helped to prevent early humans from swallowing poisonous or rotten foods. Over a hundred years ago, a chemistry professor in Japan named Kikunae Ikeda believed there was a fifth taste to which our tongues reacted. This taste was not sweet, sour, bitter, or salty. It was different, rich, and distinct. Professor Ikeda enjoyed this taste in asparagus, tomatoes, cheese, meat, and especially in a savory Japanese seaweed broth called dashi. Professor Ikeda isolated the chemical that gave dashi its taste: glutamic acid. He named thisnew, fifth taste umami, which means delicious. It wasnt until 2002 that the taste receptor for umami was located and the fifth taste was completely understood. But long before science confirmed it, people enjoyed the taste of umami-rich foods: soy sauce, mushrooms, ketchup, cooked meats (think cheeseburgers andpepperoni pizzas), and Parmesan cheese. Scientists believe that humans came to enjoy the distinct umami taste because of our need to eat protein-rich foods. Like its brother and sister tastes, umami is uniquely itself. Umami has a depth described as mouthfulness. Others have declared that umami is the taste of yum or pure deliciousness. However we explain the fifth taste, its hard to imagine a great meal that isnt just a little bit umami. Select the linking verb and the predicate noun or predicate adjective.The lawyer, with his unfounded objections and rambling, incoherent closing argument, was obviously a novice in the courtroom. simplify e with an exponent of in6 Nitrogen gas is being withdrawn at the rate of 4.5 g/s from a 0.15-m3 cylinder, initially containing the gas at a pressure of 10 bar and 320 K. the cylinder does not conduct heat, nor does its temperature change during the emptying process. What will be the temperature and pressure of the gas in the cylinder after 5 minutes? What will be the rate of change of the gas temperature at this time? Nitrogen can be considered to be an ideal gas with Cp*=30 J/mol.K. Marigold Corp. applies overhead on the basis of machine hours. Given the following data, compute overhead applied and the under- or overapplication of overhead for the period: Estimated annual overhead cost $1400000 Actual annual overhead cost $1375000 Estimated machine hours 500000 Actual machine hours 490000 a. $1372000 applied and $3000 overapplied b. $1400000 applied and $3000 overapplied c. $1372000 applied and $3000 underapplied d. $1375000 applied and neither under-nor overapplied Las mujeresno puedenrealizar alguntipo de reparacionen casacual seria el desacuerdo aqui?Me ayudan pls :( P = R+C help I need to get out of class plz help Find the value of X: What is the solution of 2.5z = 27.5