Answer:
(32r)²Step-by-step explanation:
Use of the formula aⁿbⁿ= (ab)ⁿ
16r²×8² = 4²r²×8² =(4r×8)² =(32r)²Does anyone knows how to solve this?
Answer:
This is the answer do it fast. Ok
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - 8x + 13 ← is in standard form
with a = 1 and b = - 8 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4
Substitute x = 4 into the equation for corresponding value of y
y = 4² - 8(4) + 13 = 16 - 32 + 13 = - 3
Vertex = (4, - 3 )
The axis of symmetry is a vertical line passing through the vertex with equation
x = 4 ← equation of axis of symmetry
To determine direction of opening
• If a > 0 then graph opens up
• If a < 0 then graph opens down
Here a = 1, thus graph opens up
Brandon is playing hide-and-seek with Katy and Tony. Katy is hiding 63 feet south of Brandon, and Tony is hiding due east of Katy. If Brandon is 87 feet from Tony, how far apart are Katy and Tony?
Answer:
60 feets
Step-by-step explanation:
Given that :
Using Pythagoras rule :
Hypotenus = sqrt(Adjacent^2 + opposite^2)
From the attached picture :
x² = 87^2 - 63^2
x^2 = 7569 - 3969
X^2 = 3600
Take the square root of both sides :
X = sqrt(3600)
X = 60 feets
Hence, Katy and Tony are 60 feets apart
2(3x-17) by using the distributive property
Solve for x
A. 27 B. 37 C. 30 D. 31
Answer:
A
Step-by-step explanation:
i think
A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles
grams of fish
number of calories
1000
2001
Enter the missing values in the boxes below.
b=0
Answer:
♂️ but if you know please answer
Answer:
12344567891011121314151617181920
Step-by-step explanation:
12344567891011121314151617181920
Question1 of 10
Which is the best definition of an equilateral triangle?
O A. A triangle that has at least two congruent sides
OB. A triangle that has three congruent sides
O C. A triangle in which no two sides are congruent
SUBMIT
What is the equivalent digit 3 in the number 792.134?
A 3 times 10
B 3/10
C 3 times 100
Or D 3/100
Starter
Question 1: Simplify each of the following
(a) y + y + y + y
(b) w+W+W+W + W
(c) a + a + a + a + a + a
(d) 5+$+
(e) nun
Og+ 8 + 8 + g-8
(g) y + y + y + y - y - y
(h) + p-p-p
(1) 3y + 2y
0) 4a + 3a
(k) 9k + 5k
("m+ m
(m) 150 - 200
(n) 6w - 3w
(0) 10y + 3y - 5y
(p) 20 - 140
Answer:
a)y^3
o)7a^2
I know only that
The length of a rectangle is 5 meters greater then the width. The perimeter is 150 meters. What is the width of the rectangle
answer:
p=2(l+w)
150=2.5+w
150=10w
150/10=w
15=w
How do you know from a graph if a relationship is a direct variation?
Answer:
A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2
Step-by-step explanation:
the following box plot shows the number of hours students have spent of math this week. what information can you get from this?
a. the median number of hours spent on Math was about 2.9
b. the mean number of hours spent on Math was about 3.4
c. No students spent less than 2.27 hours on Math
d. All students spent between 2.27 and 4.54 hours on math
Answer:
A. the median number of hours spent on Math was about 2.9
Step-by-step explanation:
The least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The median number of hours spent on Math was about 2.9. Therefore, option A is the correct answer.
The given box plot shows the number of hours students have spent on math this week.
How to find the median in the box plot?The far left of the chart (at the end of the left “whisker”) is the minimum (the smallest number in the set) and the far right is the maximum (the largest number in the set). Finally, the median is represented by a vertical bar in the centre of the box.
Here, in the given box plot we can see the least number of hours was 0 and the greatest was 11.35. The IQR is between 2.27 and 4.54.
The vertical line represents the median, which is 2.9.
Therefore, option A is the correct answer.
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Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
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A sequence is defined by the recursive function f(n + 1) = one-halff(n). If f(3) = 9 , what is f(1) ? 1 3 27 81
Answer:
81
Step-by-step explanation:
The value of f(1) for the recursive function is (d) 81
The recursive function is given as:
[tex]f(n + 1) = \frac 13f(n)[/tex]
Multiply both sides of the equation by 3
[tex]3f(n + 1) = f(n)[/tex]
Rewrite as:
[tex]f(n) = 3f(n + 1)[/tex]
Set n = 2;
[tex]f(2) = 3f(2 + 1)[/tex]
[tex]f(2) = 3f(3)[/tex]
Set n = 1 in [tex]f(n) = 3f(n + 1)[/tex]
[tex]f(1) = 3f(1 + 1)[/tex]
[tex]f(1) = 3f(2)[/tex]
Substitute [tex]f(2) = 3f(3)[/tex]
[tex]f(1) = 3 \times 3f(3)[/tex]
[tex]f(1) = 9f(3)[/tex]
Substitute 9 for f(3)
[tex]f(1) = 9 \times 9[/tex]
[tex]f(1) = 81[/tex]
Hence, the value of f(1) for the recursive function is (d) 81
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Given g(x) = -
—x – 2, find g(-3).
Answer:
1
Step-by-step explanation:
negative times negative is positive so that would make it 3-2 which is 1.
the mean of a,b,c,and d is 9 and the mean of a,b,c,d,e and f is 12. find the mean of e and f
Answer:
mean of e + f = 18
Step-by-step explanation:
(a + b + c + d)/4 = 9 Multiply by 4
a + b + c + d = 9 * 4 = 36
(a + b + c + d + e + f ) / 6 = 12
but a + b + c + d = 36
(36 + e + f)/6 = 12 Multiply by 6
36 + e + f = 72 Subtract 36 from both sides
e + f = 36 Divide by 2 to find the mean.
(e + f)/2 = 36/2
mean of e + f = 18
HELP I NEED THOS FASSTTTT A
What is the domain of the function?
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
domain -are all values of x
c -because x can take any value except 1
(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)
Topic is Polynomials. Find the answer using long division. Please, provide detailed steps.
Answer:
Step-by-step explanation:
I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.
Answer:
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Step-by-step explanation:
We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]
by using long division.
The long division is done in figure attached.
The quotient is: [tex]x^3+x^2-7x+4[/tex]
The remainder is: 2
Could someone help me with this one? I'm a tad stuck. I'll give brainliest to the correct answer!
Answer: 130 or a
Step-by-step explanation: 360-230=130
Answer:
130°
Step-by-step explanation:
First step you need draw a line from X to O and line Z to O. Both of them are radius.
as we know, radius and tangent line are always perpendicular. so the degree is 90° each.
shape of XYZO is kite with total of 360°
so the arc XZ have
360 - 50 - 90 - 90 = 130°
Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8
Answer:
Step-by-step explanation:
f(x) = 4x - 12
f(2) = 4*2 - 12
f(2) = 8 - 12
f(2) = - 4
In the notation "s(X) = ...," what does "s(x)" represent?
A.
The value of s(x) depends on the value of x, since s is a function of x.
B.
The value found when sis multiplied by the value x.
С.
There is not enough information to answer this question.
D.
The value of x depends on the value of s(x), since x is a function of s.
Answer: Choice A) The value of s(x) depends on the value of x, since s is a function of x.
The outer letter s tells us what the function's name is. It's the dependent variable and it might be handy to tie it to the y variable. The x is the independent variable. It changes freely without relying on what s happens to be.
Answer: A. The value of s(x) depends on the value of x, since s is a function of x.
Step-by-step explanation: s(x) is the output of the function when a given value of x is calculated according the operations in the function.
Sam had 75 pollywog pralines. He wanted to put them in bags of 3. How many bags
will he need?
12
25
3
30
Answer:
sam will take the 75 pollywog pralines and divide them into the three bags
75÷3 =25
Find the equation of the line. use exact numbers
Answer:
y = -2x + 5
Step-by-step explanation:
The slope is -2/1 and the y intercept is 5.
Rin can type 280 words in 7 minutes. At this rate, how many words can she type in 10 minutes?
Answer:
400 words in 10 minutes
Step-by-step explanation:
If you divide 280 by 7, you get 40. That means she can type 40 words per minute. 40 times 10 equals 400.
Which statement is true about the slope of the graphed line?
Answer:
I cannot say without a picture, send one and I'll be glad to help.
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
Which equation justifies why 7^1/3 = 3 square root 7?
Answer:
c
Step-by-step explanation:
I took the test and got it right
The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.
C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.
Let's break down the steps:
Seven to the one-third power all raised to the third power:
[tex](7^{(1/3)})^3[/tex]
Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:
[tex]7^{(1/3 * 3)[/tex]
The exponent 1/3 multiplied by 3 is equal to 1:
[tex]7^1[/tex]
Any number raised to the power of 1 is itself, so:
7
This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.
Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.
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help me plz (geometry)
Answer:
I’m pretty sure it’s A
Passes through (8,8) and (10,9)
Plz help need answer ASAP
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
Assuming you require the equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)
m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then
y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 8) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line
Juan wants to solve the equation below using the Distributive Property.
4(6 – x) = 12
What should Juan’s first step be?
A. Multiply 4 by x.
B. Subtract x from 6.
C. Distribute 4 to (6 – x).
D. Subtract 4 from both sides.
Answer:
C. Distribute 4 to (6 - x).
Step-by-step explanation:
Person above is right.
Juan’s first step should be C. Distribute 4 to (6 – x).
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
a(b + c) = a b + a c
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
We are given an equation as;
4(6 – x) = 12
Here Juan wants to solve the equation, using the Distributive Property.
thus, 4(6 – x) = 12
First step is to distribute 4.
4(6) – 4(x) = 12
Then solve;
24 - 4x = 12
x = 3
Hence, Juan’s first step should be C. Distribute 4 to (6 – x).
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