Someone found 100! And added up all its digits. Then, this person added up the digits of this sum. The process was continued until the sum was a one-digit number. What was that number?
question 1:
[tex]f(x) = {x}^{2}[/tex]
and
[tex]k(x)=2x + 1[/tex]
im supposed to simplify
[tex](k \times f)(x)[/tex]
Answer:
(k × f)(x) = 2x³ + x²
General Formulas and Concepts:
Algebra I
FunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x²
k(x) = 2x + 1
(k × f)(x) = k(x)f(x)
Step 2: Find
Substitute in functions: (k × f)(x) = x²(2x + 1)Expand [FOIL]: (k × f)(x) = 2x³ + x²3. A student gets a grant of $10 000 a year. Assuming her grant is increased by 7% each year, what will her grant be in four years time?
Answer:
that's all~~~~~~~~~~~~~~~~~~
What is the area of this figure? Round to the tenth if necessary.
Answer:
b) 850.1 centimeters.Step-by-step explanation:
To find the area of this figure, we must first find the areas of the shapes that compose this figure.
This figure is made up of a rectangle and a semicircle.
Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.
[tex]a=\pi r^2/2[/tex]
3.14 will be used for pi!
To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.
[tex]a=lw[/tex]
Now, let's solve.
The diameter of the semicircle is 32 centimeters.
To find the radius of a semicircle, divide the diameter by 2.
[tex]32/2=16[/tex]
The radius of the semicircle is 16 centimeters.
Now that we have the radius, we can find the area of the semicircle.
[tex]\pi 16^2/2=401.92[/tex]
The area of the semicircle is 401.92 centimeters.
Furthermore, we find the area of the rectangle.
[tex]14*32=448.[/tex]
The area of the circle is 448 centimeters.
Next, we add the areas of both shapes to find the area of this figure.
[tex]401.92+448[/tex]
[tex]=849.92[/tex]
The final step is to round 849.92 to the nearest tenth.
Even though 849.92 to rounded to the nearest tenth is 849.9, there is no answer choice for this. The closest one to this answer is choice 'b.'
I, therefore, believe the area of this figure is 850.1 centimeters.
PLEASE HELP 25 POINTS. If you apply the changes below to the quadratic parent function, fx) = x2,
what is the equation of the new function?
.
Shift 1 unit left.
.
Vertically stretch by a factor of 3.
• Reflect over the x-axis.
Answer:
[tex]f(x) = 3 (x+1)^{2}[/tex]
Step-by-step explanation:
someone please help me ASAP
Answer:
(x + (2), y - (4))
Step-by-step explanation:
An easy way to figure out how a shape has undergone a ridge transformation (meaning a transformation only in location and not size) is to compare corresponding points on the figure.
In this figure, use point (C) to describe the transformation. Point (C) is located at (-2, 4). However, its corresponding point (C') is located at (0,0). To go from (-2, 4) to (0,0) one has to add (2) units to the (x-coordinate) and subtract (4) units from the (y-coordinate). Therefore, the transformation can be described as the following,
(x + (2), y - (4))
Figure ABCD is a parallelogram.
Parallelogram A B C D is shown. The length of A B is 4 y minus 2, the length of B C is 2 x + 2, the length of D C is 2 y + 6, and the length of A D is 3 x minus 1.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
Answer:
It is 44
Step-by-step explanation:
The perimeter of the paralllelogram given is: 44 units.
What is the Perimeter of a Parallelogram?Perimeter = 2(a + b), where a and b are the legs of the sides adjacent to each other.
Given the following:
AB = 4y - 2BC = 2x + 2DC = 2y + 6AD = 3x - 1Since opposite sides of a parallelogram are equal, therefore:
4y - 2 = 2y + 6
4y - 2y = 2 + 6
2y = 8
y = 4
2x + 2 = 3x - 1
2x - 3x = -2 - 1
-x = -3
x = 3
Perimeter of the paralllelogram = 2(AB + AD) = 2(4y - 2 + 3x - 1)
Plug in the values of x and y
Perimeter of the paralllelogram = 2(4(4) - 2 + 3(3) - 1)
Perimeter of the paralllelogram = 2(16 - 2 + 9 - 1)
Perimeter of the paralllelogram = 44 units.
Learn more about perimeter of a parallelogram on:
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Pls answer……………………..
Answer:
Step-by-step explanation:
J and k are parallel if
angle 1 = angle 4 (vertically opposite angles)
angle 2 + angle 5 = 180 degree (being co interior angles)
angle 4 = angle 5 (being alternate interior angles)
angle 1 = angle 5 (being corresponding angles)
Answer:
2 and 5 are co - interior angles
1 and 3 are corresponding angles
1 and 4 are alternate
6 and 8 are corresponding angles
Step-by-step explanation:
Emma wants to give someone 5.2m every day she can donate 10k how long will it take her to donate 5.2m?
Answer:
520 days
Step-by-step explanation:
--------------------------------------
5.2 million = 5,200,000
10 thousand = 10,000
5,200,000 ÷ 10,000 =
= 520 days
---------------
Hope this helps.
Answer:
520 days
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
solve it : -
[tex] \sqrt{8 \times 5 \times 10} [/tex]
______
Answer:
20
Step-by-step explanation:
8 * 5 = 40
40 * 10 = 400
√400 = 20
Answer:
20
Step-by-step explanation:
sqrt(8*5*10)
sqrt(400)
sqrt(20*20)
20
Helena has five different flowers. She plans to give one flower to each of her five teachers in any order. She gives the first flower to one of her teachers in the morning.
In how many different ways can she give the four remaining flowers to the rest of the teachers in the afternoon?
1 combination
4 combinations
21 combinations
24 combinations
Answer:
24
Step-by-step explanation:
Based on the number of flowers and teachers left, the other ways Helena can distribute the other flowers is in 24 combinations.
How many combinations can Helana use?This can be found as:
= (4 flowers left x 3 flowers after 4th teacher given x 2 flowers x 1 flower for last teacher)
Solving gives:
= 4 x 3 x 2 x 1
= 24 combinations
Find out more on combinations at https://brainly.com/question/295961.
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Krystal got $10 from his father and $x from his mother. how much did he get altogether
Answer:
16
Step-by-step explanation:
they got 16 all together in total
Answer:
$10x
Step-by-step explanation:
We know that Krystal got $10 from his father but we don't know how much Krystal got from his mother because there's just x for the amount. So, we can just write that Krystal got $10x altogether.
Hope this helps
2. Find the perimeter of a triangle with vertices A(–3, 5), B(–3, 2), and C(1, 2).
Answer:
12 units
Step-by-step explanation:
the perimeter = 3 + 4 + 5 = 12 units
The perimeter of a triangle is 12 cm.
To find the perimeter of the triangle.
What is triangle?
A triangle has three sides, three vertices, and three angles. The sum of the three interior angles of a triangle is always 180°.
Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.
Distance = √ ( (x2 - x1)2 + (y2 - y1)2 )
Points A and B:
d = √(-3 +3)2 + (2 - 5)2
d = √ 0 + 9
d = √9
d = 3
Points B and C:
d = √ (1+ 3)2 + (2 -2)2
d = √ 16 + 0
d = √ 16
d = 4
Points C and A:
d = √ (-3 - 1)2 + (2 -5)2
d = √ 16 + 9
d = √ 25
d = 5
Perimeter= 3 + 5 + 4 = 12
So, the perimeter of a triangle is 12 cm.
Learn more about triangle here:
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Which number best represents the slope of the graphed line?
If you have 36 ft of fencing, what are the bases and side lengths of the different parallelograms you could enclose with the fencing? Consider only whole-number dimensions.
Answer:
[tex](l,w) = (1,17)[/tex]
[tex](l,w) = (2,16)[/tex]
[tex](l,w) = (3,15)[/tex]
---
---
-
[tex](l,w) = (9,9)[/tex]
Step-by-step explanation:
Given
[tex]P = 36ft[/tex] --- perimeter
[tex]l \to length[/tex]
[tex]w \to width[/tex]
Required
Possible dimension of different parallelogram
The perimeter is calculated as:
[tex]P=2(l+w)\\\\\\[/tex]
So,we have:
[tex]2(l+w)=36[/tex]
Divide by 2
[tex]l + w = 18[/tex]
Since l and w must be positive integers, the possible dimensions are:
[tex](l,w) = (1,17)[/tex]
[tex](l,w) = (2,16)[/tex]
[tex](l,w) = (3,15)[/tex]
---
---
-
[tex](l,w) = (9,9)[/tex]
Expand.
Your answer should be a polynomial in standard form.
(x - 4)(x - 6) =
Answer:
x^2 - 10x + 24
Step-by-step explanation:
(x - 4)(x - 6)
x(x - 6) -4(x - 6)
x^2 -6x -4x + 24
x^2 - 10x + 24
Answer:
[tex] {x}^{2} - 10x + 24[/tex]
Step-by-step explanation:
[tex](x - 4)(x - 6) \\ = x(x - 6) - 4(x - 6) \\ = {x}^{2} - 6x - 4x + 24 \\ = {x}^{2} - 10x + 24 \\ [/tex]
Work out m and c for the line:2y+6x=4
Answer:
2y +6x=4
Step-by-step explanation:
2y=4-6x
y =(4-6x)÷2
what points are the vertices of this polygon
Answer:
the answers are (2;1)(-3;-2)(-3;4)
Step-by-step explanation:
Answer:
A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.
Step-by-step explanation: i just learned this
Find the value of x. Around the length to the nearest tenth.
Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
Step-by-step explanation:
On a piece of paper, graph y = 3x - 2. Then determine which answer choice
matches the graph you drew. Find the slope of the line.
Identify the solution that has the correct graph and the correct slope.
Answer:
NOT A or B
probably C ?
Step-by-step explanation:
The problem has been started for you.
What is the quotient?
86
86.6
86.ModifyingAbove 6 with bar
87
Answer:
the third one
Step-by-step explanation: 6 22 22 24
the quotient is 86.6666666 the repeating 6 is sometimes written with a bar above the .6 like
86.6 except the bar is on top of the second 6
A Galapagos tortoise can 1/5 mile in an hour. How many hours would it take the tortoise to walk 1/6?
Answer:
5/6 hours
Step-by-step explanation:
Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:
[tex]\frac{1/5}{1}[/tex] = [tex]\frac{1/6}{x}[/tex]
Cross multiply and solve for x:
1/5x = 1/6
x = 5/6
So, it will take the tortoise 5/6 hours to walk 1/6 of a mile
Which statements regarding the vertex of a quadratic function are true? Select all that apply.
Answer:
the rules regarding the vertex of a quadratic function are:
the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Hope This Helps!!!
La Base de un triangulo mide 28 cm y su altura es correspondiente, 3/7 cm de la base. calculen el area del triangulo
Answer:
168 cm²
Step-by-step explanation:
altura = 3/7 × 28 = 12 cm
area = ½×28×12 = 168 cm²
HELPPP QUICK W THIS QUESTION
***
A
What is the value of x in the proportion
نانا اتيت |cr
X
2
CO
C
5
53
الIl F
10
3
12
20
Answer:
it's second option
[tex]5 \times \frac{2}{5} [/tex]
Step-by-step explanation:
for this change them to points so it be easier to solve
[tex] \frac{2.25}{x} = \frac{1.5}{3.6} \\ \\ x = \frac{3.6 \times 2.25}{1.5} = 5.4[/tex]
and then 5.4 equals 5(2/5)
What is the solution to the equation
[tex] \frac{1}{4} x + 2 = - \frac{5}{8}x - 5 [/tex]
A food sample contains 300 bacteria. The doubling time for bacteria left at room temperature is 20 minutes. How many minutes will it take to reach an unsafe level of 100000 bacteria?
Answer:
167.6 minutes
Step-by-step explanation:
The formula is given as:
P(t) = Po × (2)^t/k
Where
P(t) = Population after time t = 100000
Po = Initial population = 300
k = Doubling time = 20 minutes
t = Time = ?
Hence:
100000 = 300 × (2)^t/20
Divide both sides by 300
100000/300 = (300 × (2)^t/20)/300
333.3 = 2^t/20
Take the In of both sides
In 333.3 = In (2^t/20)
In 333.3 = t/20 In 2
Divide both sides by In 2
In 333.3/In 2 =( t/20 In 2)/In 2
8.3806775072 = t/20
Cross Multiply
t = 8.3806775072 × 20
t = 167.61355014 minutes
Approximately = 167.6 minutes
Therefore, the time it will take to reach an unsafe level of 100000 bacteria is 167.6 minutes
Solve for X:
-2(x+2) < 14
Answer:
answer is 45 + 5 so it's 50
Answer:
-2X-4<14
-2X<18
X>9
Step-by-step explanation:
What type of angel is 107 degrees
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
⏩ 107° angle will be an obtuse angle because its measurement is more than 90° but less than 180°.
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ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
Answer:
An obtuse angle
Step-by-step explanation:
Angles are classified by how large their degree measure is. Here is a list of the basic classifications of an angle,
acute: degree measure between (0) and (90) degrees
right: exactly (90) degrees,
obtuse: degree measure between (90) and (180) degrees
reflex: degree measure between (180) and (360) degrees
Question 2 (Essay Worth 10 points)
(03.01 MC)
Look at the rectangle and the square:
A rectangle PQRS and square LMNO are drawn side by side. The length SR of the rectangle is labeled as 12 inches, and the width QR is labeled as 6 inches. The side LM of the square is labeled as 6 inches.
Sam says that the length of diagonal SQ is two times the length of diagonal OM.
Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.
Answer:
Sam is incorrect.
Step-by-step explanation:
Using Pythagorean Theorem, we can find the length of diagonal SQ as 13.4 (6^2 + 12^2 = c^2, 36 + 144 = c^2, sqrt(180) = c, c is approx 13.4). We can do the same for diagonal OM (6^2 + 6^2 = c^2, 36 + 36 = c^2, 72 = c^2, sqrt(72) = c, c is approx 8.5). Sam is therefore incorrect because 13.4 is not double of 8.5.
Answer:
Sam is incorrect.
Step-by-step explanation:
Sam is incorrect. By using the Pythagorean theorem, we can find out what each diagonal is equal to.
Starting with diagonal SQ...
6^2 + 12^2
= 36 + 144
= 180
Square root of 180?
= 13.41
Diagonal OM...
6^2 + 6^2
= 36 + 36
= 72
Square root of 72?
= 8.48
Therefore, Sam is incorrect because 8.4 isn't half of 13.4.