Answer:
-12b² + 6b + 862
Step-by-step explanation:
[tex](6b)(-2b)+(6b)(1)+862[/tex] [tex]-12b^2+6b+862[/tex]Answer:d
Step-by-step explanation:
does ratio can be defined as " for every hundred terms " ?
Answer:
A ratio is defined as the comparison of one size of a number to the size of another number. A most convenient number to use when comparing numbers is 100. Ratios in which one number is compared to 100 are called percents. The word percent comes from the Latin word per centum.
Convert to fraction (mixed number): 2.75 = 2 + 0.75
Convert to decimal: 275% = 2.75
Problem: Convert 275% to a decimal and to a simplified fraction
A new company opens and finds the profits from their first year in business is $24,000. They project the company's profits to increase by 1.7% each year. What is their expected profit 10 years from now?
Answer:
$4406.7 is the profit.
explanation:
compound interest formula: [tex]\sf \large\boxed{\sf P(1+\frac{r}{100})^n }[/tex]
using this formula:
[tex]\rightarrow \ \sf \sf 24000(1+\dfrac{1.7}{100})^{10} }[/tex]
[tex]\rightarrow \sf \ $ \sf 28406.7[/tex]
profit: $28406.7 - $24,000 = $4406.7
How did you get the answer.
Ravi has put his coins into 4 stacks. Each stack has 12 coins. How many coins total are there?
Answer:
48
Step-by-step explanation:
there is 4 stacks of 12 coins
4x12=48
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour.
Answer:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 3\frac{1}{6}km[/tex]
[tex]Time = \frac{1}{4}hr[/tex]
Required
Determine the average speed
Average speed is calculated as thus;
[tex]Speed = \frac{Distance}{Time}[/tex]
[tex]Speed = 3\frac{1}{6}/\frac{1}{4}[/tex]
[tex]Speed = 3\frac{1}{6} * \frac{4}{1}[/tex]
Convert Mixed Fraction to Improper fraction
[tex]Speed = \frac{19}{6} * \frac{4}{1}[/tex]
[tex]Speed = \frac{19 * 4}{6 * 1}[/tex]
[tex]Speed = \frac{76}{6}[/tex]
Divide both sides of the fraction by 2
[tex]Speed = \frac{38}{3}[/tex]
Hence:
The speed is:
[tex]Speed = \frac{38}{3}km/hr[/tex]
Answer:
38/3
Step-by-step explanation:
If 10% of my money is $15, then what is 40% of my money?
[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]
Answer:
$21
Step-by-step explanation:
if 10% is $15 then 40%*$15 is $21
f (x) = 3x - 5, find f (7)
Answer:
f(7) = 16
Step-by-step explanation:
substitute x = 7 into f(x) , that is
f(7) = 3(7) - 5 = 21 - 5 = 16
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in scientific notation? 0.5 times 10 Superscript 2 5.0 times 10 Superscript 3 5.0 times 10 Superscript 6 0.5 times 10 Superscript 7
Answer:
5.0 times 10 Superscript 6
Step-by-step explanation:
What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline?
This is represented mathematically as:
1.6 × 10¹⁴/ 3.2 × 10⁷
Solving for this
1.6 × 10¹⁴/ 3.2 × 10⁷
= [1.6/3.2] × 10¹⁴-⁷
= 5 × 10⁶
= 5.0 times 10 Superscript 6
Answer:
the answer is C) 5.0 x 10^6
Step-by-step explanation:
just took the test on edge 2021
In ΔABC, m∠A = 112°, b = 8, and c = 14. Identify a rounded to the nearest tenth.
1. 13.3
2. 12.6
3. 19.0
4. 18.5
The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5
The side can be found using cosine formula for triangles.
Cosine formulaa² = b² + c² - 2bc cos A
where
a = ?
b = 8 units
c = 14 units
Therefore,
a² = 64 + 196 - 2 × 8 × 14 cos 112
a² = 260 - 224 cos 112
a² = 260 + 83.9118769252
a = √343.9118769
a = 18.5448611993
a = 18.5
Therefore, the value of a is approximately 18.5
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QUICK!!! Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B? (5 points)
Group of answer choices
A. Translate circle A using the rule (x + 3, y − 1).
B. Rotate circle A 180° about the center.
C. Dilate circle A by a scale factor of 4.
D. Reflect circle A over the line y = x.
Answer:
Dilate circle A by a scale factor of 4. (c)
Step-by-step explanation:
HOPE THIS HELPS!!!
The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.
The correct option is (C).
What is Dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Circle A has center of (0, 4) and a radius of 6
circle B has a center of (−3, 5) and a radius of 24.
The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.
We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
This transformation produces an image that is the same as the original shape.
Thus, Dilate circle A by a scale factor of 4.
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In a certain town there were 247 robberies last year. This year the number of robberies has gone down 27%. How many robberies were there this year, to the nearest whole number?
is 3 pints greater, less than, or equal to 8 cups
Answer:
less than
Step-by-step explanation:
a pint is 2 cups so 8 cups is 4 pints
yw
An amusement park ride lifts seated riders 265 feet above the ground. The riders are then dropped and experience free fall until the brakes are activated 105 feet above the ground. The function h=-16t^2+265 represents the height h (in feet) of the riders t seconds after they are dropped. How long do the riders experience free fall? Round your solution to the nearest hundredth.
The riders experience free fall for about ___ seconds.
Answer:
The riders experience free fall for about 3.12 seconds.
Step-by-step explanation:
Find t when h = 105
105= [tex]-16t^{2} +256[/tex]
0= [tex]16t^{2}[/tex] +160
0 = -16([tex]t^{2}[/tex]-10)
[tex]t^{2}[/tex] - 10 = 0
[tex]t^{2}[/tex] = 10
[tex]t = \sqrt{10}[/tex]
The riders experience free fall for about 3.16 seconds.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.
So, we need to solve the equation:
-16t² + 265 = 105
Adding 16t² to both sides, we get:
16t² = 160
Dividing both sides by 16, we get:
t² = 10
Taking the square root of both sides, we get:
t = ±3.16
Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:
t = 3.16 seconds
Therefore,
The riders experience free fall for about 3.16 seconds.
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(02.08 MC) Multiply (x - 4) (x^2 -5x - 6). (6 points)
1)x^3-9x^2+14x+ 24
2)x^3-x^2+26x+ 24
3)x^3-5x^2+10x +24
4)x^3-15x^2+ 20x+ 24
Answer:
Your answer is: A) x^3-9x^2+14x+24
Multiply each term in the first expression by each term in the second expression and combine like terms.
Step-by-step explanation:
Hope this helped : )
Si un polinomio es divido por el termino x-c, entonces el residuo es ¿Esta oración de qué teorema habla?
Grupo de opciones de respuesta
De la División Sintética
Del Factor
Del Residuo
De Pitágoras
cual es????????'
El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.
¿Qué es el teorema del residuo?Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.
Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.
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The perimeter of rectangle of length 600 and breadth 350 is ___________
Answer:
950
Step-by-step explanation:
Not gonna lie I kinda stole yo answer other person deserves all the credit
Pls help me pls I have a test
Answer:
See below.
Step-by-step explanation:
Area (rectangle) = Area (square)
6 x 10 = s²
s² = 60
s = √60
s = 2√15 cm
Perimeter
= 4s
= 4 x 2√15
= 8√15 cm
Ned is looking over his credit scores. his experian score is 690, his equifax score is 691, and his transunion score is 651. what is his mean credit score? (round to the nearest whole point, if applicable.) a. 677 b. 671 c. 665 d. 690
The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
What is mean credit score?The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.
Ned is looking over his credit scores. The different score is in his credit score are,
His experian score is 690, His equifax score is 691, His transunion score is 651.The sum of all the score is,
[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]
There are total 3 scores. Thus the mean credit score is,
[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]
Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.
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Answer:
A. 677
Step-by-step explanation:
That is his mean credit score, i got it right on edge
While shopping for clothes, Grace spent $39 less than
3 times what Emily spent. Grace spent $36. Write and
solve an equation to find how much Emily spent. Let x
represent how much Emily spent.
and write an equation to represent the following description and use x as the variable
Answer:
Step-by-step explanation:
$39 plus the amount of money Grace had spent, $36.
39 + 36 = 75.
That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.
75 x 3 = 225
Therefore, x = 225 or $225 was the amount that Emily spent.
Hope this helps! ^u^
Brainliest please.
Which value of x makes the following equation true?
5(x - 2) + 74 = -3x
A. 8
B. -7
C. -4
D. -8
Answer:
x=−8
Step-by-step explanation:
(5)(x)+(5)(−2)+74=−3x
5x+64=−3x
8x+64=0
8x=−64
x=−8
Answer:
da answer iz equals to -8
Solve the equation for x
bx – 10 = f
Answer:
x= f/b + 10/b
Step-by-step explanation:
f and b is one fraction + 10 and b is the other fraction
it takes a work crew 12 days to build 4 houses. How many days does it take to build one house?
Answer:
it takes 3 days for the crew to make one house
expand o write an equavilent expression -1/4(-8x + 12y).
Answer:
[tex]2x-3y[/tex]
Step-by-step explanation:
Apply the distributive property by multiplying the outside to both terms on the inside:
[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x
[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.
Suppose you run 2 miles from your house to a friends house at a speed of 7 mi/hr. When the time comes to return home, you are tired and walk the same 2 miles at 3 mi/hr. How long did you spend running to your friends house? How long did you spend walking home?
Answer:
[tex]Time = 17.143\ mins[/tex] -- When going
[tex]Time = 40\ mins[/tex] -- When coming back
Step-by-step explanation:
Given
[tex]Speed\ to = 7mi/hr[/tex]
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Distance = 2\ mi[/tex]
Required
Determine time taken to your friend's house
Determine time taken from your friend's house
Distance is calculated as:
[tex]Time = \frac{Distance}{Speed}[/tex]
From the question, we understand that:
[tex]Distance = 2\ mi[/tex]
When going:
[tex]Speed\ to = 7mi/hr[/tex]
So, we have:
[tex]Time = \frac{2mi}{7mi/hr}[/tex]
[tex]Time = \frac{2}{7}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{7} * 60[/tex]
[tex]Time = \frac{120}{7}[/tex]
[tex]Time = 17.143\ mins[/tex]
When coming back:
[tex]Speed\ from = 3mi/hr[/tex]
[tex]Time = \frac{2mi}{3mi/hr}[/tex]
[tex]Time = \frac{2}{3}hr[/tex]
Express in Minutes
[tex]Time = \frac{2}{3} * 60[/tex]
[tex]Time = \frac{120}{3}[/tex]
[tex]Time = 40\ mins[/tex]
How many gallons of paint will you need in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet?
Answer:42 x27
Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.
The number of gallons that are needed will be 6 gallons.
The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:
= (27 × 42) / 200
= 1134 / 200
= 5.67
= 6 gallons.
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James, Ann and Frank have 14 pencils total. James has 2 pencils, and Ann has 4 pencils. How many pencils does Frank have?
Hey!
All we have to do is subtract however many pencils the others have.
So, lets do James first.
14-2=12
Now we subtract Ann's.
12-4=8
So, Frank has 8 Pencils.
Hope this helps!
Answer:
8
Step-by-step explanation:
14-(2+4)= 8
Its fairly simple but if you don't pay attention and don't add it up correctly you will have problems in your answer. (Hope you found this helpful!)
can somone help i will give u brainlyst:)
Answer:
5 5/8
Step-by-step explanation:
1. you need to make the whole number a fraction so turn it into 9/1
2. multiply straight across
3. currently it's 45/8, you need to divide
4. divide 45/8 once
5. your answer of 5 5/8
Hi!
First, let's write 9 as a fraction:
[tex]\bold{\displaystyle\frac{9}{1}}[/tex]
Now multiply:
[tex]\bold{\displaystyle\frac{9}{1} *\frac{5}8} }[/tex]
multiply 9 times 5 and 1 times 8:
[tex]\bold{\displaystyle\frac{45}{8} }}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{5\frac{5}{8} }}}[/tex] (as a mixed number)
Hope everything is clear.
Let me know if you have any other questions; if so, please use the comment section.
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7. Evaluate square root 64. 121.
Answer:
88
Step-by-step explanation:
[tex]\sqrt{(64)(121)}\\\sqrt{64} \sqrt{121} \\(8)(11)\\88[/tex]
The square root of 64×121 is 88.
What is square root of a number?Square root is a factor of a number that, when multiplied by itself, gives the original number.
According to the given question
We have to find the square root of 64 × 121
The prime factorization of 64 is 2 × 2 × 2 × 2 × 2 × 2
And the prime factorization of 121 is 11 × 11.
Therefore the square root of 64 × 121 is given by
[tex]\sqrt{(64)(121)} =\sqrt{(2)(2)(2)(2)(2)(2)(11)(11)} = (11)(2)(2)(2)=88[/tex]
Hence, the square root of 64×121 is 88.
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95 - 4G < 40 + 5G plz help me
This answer would be (55/9, ∞)
AB & BC are two sides of a regular octagon. Calculate the size of angle x.
Answer:
x = 45°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 8 ( number of sides of an octagon ) , then
sum = 180° × 6 = 1080°
the interior angles of a regular octagon are congruent , so
∠ ABC = 1080° ÷ 8 = 135°
x and 135° are adjacent angles on a straight line and sum to 180° , then
x = 180° - 135° = 45°