D. 412.5 inches
correct me if I am wrong
The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to
the right of the vertex of f(x). Which equation represents g(x)?
Answer:
The function [tex]g(x) = x^2 - 10 x + 32[/tex]
Step-by-step explanation:
(h, k) = (5, 7)
[tex]f(x) = x^2[/tex]
[tex]y = x^2[/tex]
By replacing y = y - 7 and x = x -5, we get the function g(x).
[tex]y - 7 = (x - 5)^2\\\\y - 7 = x^2 + 25 - 10 x \\\\y = x^2 - 10 x + 32\\\\g(x) = x^2 - 10 x + 32[/tex]
Answer:b
Step-by-step explanation: i took the test
Find the value of x, y, and z if
5
X=
y =
Z=
Answer:
x = 12
y = 9
z = 11
Step-by-step explanation:
so, let's just do all the calculations in there :
(3×5)⁴ = 3⁴×5⁴
(2×3)⁵ = 2⁵×3⁵
(2×5)⁷ = 2⁷×5⁷
multiplying all 3 terms is then
3⁴×5⁴×2⁵×3⁵×2⁷×5⁷
more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.
so, for the base of 2 we have
2⁵×2⁷ = 2¹²
for the base of 3 we have
3⁴×3⁵ = 3⁹
fire the base of 5 we have
5⁴×5⁷ = 5¹¹
so we get
2¹² × 3⁹ × 5¹¹
=>
x=12
y=9
z=11
Express cos I as a fraction in simplest terms.
Answer:
Solution given
Cos I=adjacent/hypotenuse=16/34
8/17 is a required answer.
The value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the hypotenuse is 34.
What are the trigonometry and trigonometric ratio?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle and the trigonometric ratio are defined as the ratio of the pair of sides of a right-angled triangle.
We have a right-angled triangle in the picture.
If we take ∠I to calculate the ratio of cosec.
We know the cos is the ratio of the side adjacent to the angle to the side opposite to the right angle.
The length of the side adjacent to the angle A = 16 units
The length of the side opposite to the angle H = 34 units
Then
[tex]\rm cosI = \frac{A}{H}[/tex]
[tex]\rm cosI = \frac{16}{34}[/tex]
[tex]\rm cosI = \frac{8}{17}[/tex]
Thus, the value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the side opposite to the right angle is 34.
Know more about trigonometry here:
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Bob rents a dump truck. The dump truck costs
$85 per day and $0.35 per mile. Which expression
below would help Bob figure out how much (p) the
rental will cost him for a day?
Answer:
[tex]\text{d) }p=0.35x+85[/tex]
Step-by-step explanation:
Since the 85 dollar fee is fixed, there should be no coefficient or constant that accompanies it. However, the total cost of the miles is directly proportional to the number of miles he drives. Thus, 0.35 should be accompanied by a constant that represents the total number of miles he drove. In this case, that constant is [tex]x[/tex] and [tex]0.35x[/tex] will represent the cost from the number of miles he drives in addition to the 85$ flat fee, hence [tex]\implies \boxed{\text{d) }p=0.35x+85}[/tex]
a block is pulled 0.90m to the right in 2.4s what is the blocks average speed to the nearest hundredths of m/s
Answer:
[tex]0.38\:\mathrm{m/s}[/tex]
Step-by-step explanation:
Average velocity is given by [tex]v=\frac{\Delta x}{\Delta t}[/tex], where [tex]\Delta x[/tex] is displacement and [tex]\Delta t[/tex] is change in time.
What we know:
[tex]\Delta x[/tex] is [tex]0.90\:\mathrm{m}[/tex] [tex]\Delta t[/tex] is [tex]2.4\:\mathrm{s}[/tex]Solving for [tex]v[/tex]:
[tex]v=\frac{0.90}{2.4}=0.375\approx\boxed{0.38\:\mathrm{m/s}}[/tex]
Which represents g(x), the translated function?
O g(x) = (x + 4)3 + 6
O g(x) = (x – 4)3 + 6
O g(x) = (x + 6)3 – 4
O g(x) = (x - 6)2 - 4
Answer:
Im pretty sure its A but not 100% sure-
Step-by-step explanation:
Ling tried to solve an equation step by step.
-2q + 11 = -32
-2q = -43 Step 1
q= 21.5. Step 2
Find Ling's mistake.
Step 1
Step 2
Answer:
No error
Step-by-step explanation:
Ling tried to solve an equation step by step.
Step 1.
-2q + 11 = -32
Step 2.
Subtract 11 from both sides,
-2q + 11 -11 = -32 -11
-2q = -43
Step 3.
Dividing both sides by 2,
q = 21.5
Hence, the calculation has no error.
Answer:
C. Ling did not make a mistake
Step-by-step explanation:
khan
Identify the center and the radius of the circle.
(x - 1)2 + (y + 3)? = 4
Comparing with Equation of circle( x - h )²+ ( y - k )² = r²,
center of circle = (h,k) = (1,-3)
Radius of circle =√4 = 2unit
Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31
Answer:
39.2 is the mean
the deviation is 15.2
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms = 39.2
the deviation measures the spread of a data distribution of the sample = 15.2
Answer:
10.8
Step-by-step explanation:
To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.
After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.
16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.
Please help!!!
Will mark Brainliest
Want with explanation...
Evaluate it...
[tex] \sqrt{5 ^{ - 3 } } x \sqrt{2 ^{ - 3} } [/tex]
Multiply the terms with equal exponents by exponents by multiplaying their bases.
[tex]( \sqrt{5 \sqrt{2) ^{ - 3} } } [/tex]
Calculate the product.
[tex] \sqrt{10 ^{ - 3} } [/tex]
Express with a positive exponent using
a ^ {-n }}} = 1
a ^ {n }}}
[tex]\large \frac{1}{ \sqrt{10 ^{3} } } [/tex]
Evaluate the Power.
[tex]\large \frac{1}{10 \sqrt{10} } [/tex]
Rationaliz the denominator
[tex] \frac{ \sqrt{10} }{100} [/tex]
[tex]\color{IRON}{SOLUTION}[/tex]
[tex] \frac{ \sqrt{10} }{100} [/tex]
Alternate form
[tex]\color{iron}{≈0.0316228}[/tex]
Bruce is 4 times as old as Indy. 6 years ago, Bruce was 6 times as old as Indy. how old is bruce now?
plz plz help there are 2 answers
Answer:
[tex]A)~ 2(x+2)=2x+14~(NO)[/tex]
[tex]B)~14(x+3)=14x+42~(YES)[/tex]
[tex]C)~14(x+5)=14x+70~(NO)[/tex]
[tex]D)~7(2x+6)=14x+42~(YES)[/tex]
[tex]E)~2(2x+20)=14x+40~(NO)[/tex]
[tex]So,~ B ~and ~ D ~ are~ your ~ answers[/tex]
---------------------------hope it helps...have a great day!!what is the common factor of 2x^3-4x^2-15x
Answer:
kbsishodhohror keviegieh
Answer:
[tex]2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ [/tex]
A cone has a height of 16 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
602.88 ft^3
Step-by-step explanation:
(6^2)(3.14)(16)(1/3) = 602.88
Answer:
Step-by-step explanation:
V=1/3 πr²h
=1/3×π×6²×16
=192 π
≈192×3.14
≈602.88 ft³
Pls help me i need help with this
my answer is in this picture.
Need help what would it be
2x-54 and x + 22 are vertical angles and equal each other. Set the two equations equal to each other and solve for x.
2x -54 = x + 22
Add 54 to both sides:
2x = x + 76
Subtract 1x from each side:
X = 76
The answer is x = 76
To express the polynomial 6p2 + 2p3 − p4 + 3 in standard form, which term should be written first?
–p4
2p3
6p2
3
Answer:
-p^4
Step-by-step explanation:
The term with highest degree goes first in standard form.
Answer: -p^4
Answer:
-[tex]p^{4}[/tex]
Step-by-step explanation:
standard form means highest exponent to lowest exponent regardless of the terms coefficient.
Which numbers are divisible by 10?
A)635
B)950
C)953
simplify
a) 5/4
b) 7/6
c) 6/7
Answer:
7/6
Step-by-step explanation:
x/4 + x/3
-----------------
x/2
Multiply by the common denominator, 12
12(x/4 + x/3)
-----------------
12 *x/2
Distribute
3x + 4x
-----------------
6x
7x
----
6x
Simplify
7/6
Answer:
b) [tex] \blue{\dfrac{7}{6}} [/tex]
Step-by-step explanation:
[tex] \dfrac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}} = [/tex]
[tex] = \dfrac{\frac{3x}{12} + \frac{4x}{12}}{\frac{x}{2}} [/tex]
[tex] = \dfrac{\frac{7x}{12}}{\frac{x}{2}} [/tex]
[tex] = \dfrac{7x}{12} \times \dfrac{2}{x} [/tex]
[tex] = \dfrac{7x \times 2}{12 \times x} [/tex]
[tex] = \blue{\dfrac{7}{6}} [/tex]
I need help with this pls
Answer:
0.78
Step-by-step explanation:
The constant of proportionality is the "k" in y = kx.
y is the dependent variable (whatever you do to x changes y)
x is the independent variable (it doesn't change in relation to y)
Your pounds of apples is your x
Your cost is your y
From the first row: 0.78 = (k)(1), which simplifies to k = 0.78
If you want to test it out, pick another line:
y = kx
3.12 = (k)(4)
divide both sides by 4
k = 0.78
It's great when tables like this have something in the x column that is a 1...because then the y is also the k
I'll give a brainliest
Answer:
x = 9.4
Step-by-step explanation:
it's a right triangle so you can use Pythagorean Theorem: a² + b² = c²
7.1² + 6.2² = x²
50.41 + 38.44 = x²
88.85 = x²
√88.85 = x
9.4 = x
Line m passes through points (8,9) and (4,4). Line n is perpendicular to m. What is the
slope of line n?
Answer:
Step-by-step explanation:
here x1=8 , y1=9 , x2=4 , y2=4
using formula
slipe(m)=y2-y1/x2-x1
=4-9/4-8
=-5/-4
=5/4
Don’t answer if you don’t know thanks. No links!
Answer:
12 by 12
Step-by-step explanation:
The area of a square is [tex]s^2[/tex], where [tex]s[/tex] is side length of the square. Therefore, we have:
[tex]s^2=144,\\s=\sqrt{144}=12[/tex]
Since all side lengths of a square are equal, the dimensions are 12 by 12.
Answer:
Step-by-step explanation:
area of square=l^2
144=l^2
[tex]\sqrt{144[/tex]=l
12=l
therefore the dimensions of square is 12 x 12.
Solve for y:
76y = 19
Y =2/3
Y = 1/4
Answer:
y = 1/4
Step-by-step explanation:
76y = 19.
Get rid of the 76 by dividing 76 from both sides.
76y/76 = 19/76
19/76 simplified is 1/4.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{76y = 19}[/tex]
[tex]\textbf{DIVIDE 76 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{76y}{76} = \dfrac{19}{76}}[/tex]
[tex]\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{y = \dfrac{19}{76}}[/tex]
[tex]\mathsf{y = \dfrac{19\div19}{76\div19}}[/tex]
[tex]\mathsf{y = \dfrac{1}{4}}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{y = \dfrac{1}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Need help ASAP pls I have 20 min
Answer:
x > - 8
Step-by-step explanation:
x + 5 > -3
x > - 8
write an expression equivalent to h^6/h^3 in the form of h^m
Answer:
[tex]h^3 = h^m[/tex]
Step-by-step explanation:
[tex]\frac{h^6}{h^3} = h^m[/tex]
6 - 3 = 3
keep the base same, therefore
[tex]h^3 = h^m[/tex]
Hope this helps!
The equivalent expression for the given expression is h³.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is h⁶/h³.
h⁶ can be written as h³×h³
= h³×h³/h³
= h³
Therefore, the equivalent expression is h³.
To learn more about an equivalent expression visit:
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Juan has a box that is 3 feet long , 2 feet wide ,and 3 feet high . What is the volume of the box?
Answer:
18
Step-by-step explanation:
3*3*2
9*2
18
y=1/3x+11/15 find x if y=6
Step-by-step explanation:
plug in y
6=1/3x+11/15
multiply both sides by 15 to get rid of the fraction
90 = 5x +11
move terms to make them like terms
-5x =11- 90
-5x = -79
divide both sides by -5
evaluate for x
Expand and simplify:
5(x - 2) + 3(1 - x)
(with the steps)
Step-by-step explanation:
5x-10+3-3x
5x-3x-10+3
2x-7
hope it helps
Answer:
2x-7
Step-by-step explanation:
See image below:)
pleaseplease Help mee
Answer:
B. What is the average amount of points Jenny Ortiz scores in a game?
Step-by-step explanation: