Answer:
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 6x + 8[/tex]
[tex]k = 5[/tex] --- horizontal stretch factor
Required
Find g(x)
When a function is stretched horizontally by k, the resulting function will be:
Rule: [tex]g(x) = f(\frac{1}{k}x)[/tex]
So, we have:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
Solve for: [tex]f(\frac{1}{5}x)[/tex]
[tex]f(\frac{1}{5}x) = 6 * \frac{1}{5}x + 8[/tex]
[tex]f(\frac{1}{5}x) = \frac{6}{5}x + 8[/tex]
Recall that:
[tex]g(x) = f(\frac{1}{5}x)[/tex]
[tex]g(x) = \frac{6}{5}x + 8[/tex]
Answer:
f(1/5x) = 6 ^1/5x +8
Step-by-step explanation:
A horizontal stretch by a factor of 5 means that the input, or x, is multiplied by : 1/5
PLZZ HELP!! ASAP
Two 3 digit numbers are formed using the same integers and when they are added the form another 3 digit number with the same integers, find the added number?
options
a) 954
b) 682
c) 488
d) 890
as for my ans is C...
can you correct me if im wrongX
Which of these is an example of due process?
a search without good reason
a prejudiced jury
a cruel punishment
a fair trial
Answer:
A fair trial.
Answer:
Step-by-step explanation: a search without good reason
Help Pleaseee, i dont know how to find the period
Answer:
6 Pi
Step-by-step explanation:
The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes
Answer:
Yes
Step-by-step explanation:
6 + 8 = 14 which is bigger than 9 so it is possible
If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible
Mr. Jones has taken a survey of college students and found
that 40 out of 42 students studied last weekend. If the college
has 8,262 students, what is the best estimate of the number of
students who studied last weekend?
Answer:
B
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Answer: C (depends on what order it’s in)
Step-by-step explanation:
40/42 × 8,262
=7868.571429
=7869 students studied
Help just do number 7 please
Inches more: 19.1
Days more: 39
Step by step: 47.71 - 28.61 = 19.1
Step by step 2: 124 - 85 = 39
Answer:
asheville go 19.1 more inches of rain than wichita.
it rained 39 more days in asheville than Wichita.
Step-by-step explanation:
47.71 inches - 28.61 inches = 19.1 inches
124 days - 85 days = 39 days
Hope this helps❤
the diameter of a billard ball is approximately 6 cm. what is its volume? round your answer to the nearest whole number
Answer:
The diameter of a billiard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.
A. 113 cm3
B. 903 cm3
C. 25 cm3
D. 38 cm3
Step-by-step explanation:
Nothing further can be done with this topic. Please check the expression entered or try another topic.
6
centimeters
...................................................................................................................................................
For this case we have that by definition, the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
According to the data we have to:
Substituting we have:
The option that best fits is option B.
Answer: v=113cm3
The option that best fits is option B.
...............................................................................................................................................
Answer:
V ≈ 904 cm³
Step-by-step explanation:
Let r denotes radius
r = 6cm (given)
As it a sphere of radius 6cm,
Volume of a sphere,
V = 4/3 π r³
V = 4/3 (3.14) (6)³
V = 4/3 (3.14) x 216
V = 4 (3.14) x 72
V = 12.56 x 72
V = 904.32 cm³
Rounding off,
V ≈ 904 cm³
...............................................................................................................................................
Answer:
113 cm
Step-by-step explanation:
Can someone Help me please
Step-by-step explanation:
Given,In triangle ABC. In triangle DBC
AB. = DB.
[Given]
<ABC. = <DBC
[Given]
BC. = BC
[Common side]
Hence,
As two sides and one angle of triangle ABC and triangle DBC are equal.
Therefore,Triangle ABC is congruent to Triangle DBC
Lukas depositó $ 3000 en una cuenta de ahorros que genera una tasa de interés del 3.7% compuesto anualmente. ¿Cuál es el valor total de la cuenta después de 5 años?
Answer:
El valor total de la cuenta después de 5 años es de $3,598.
Step-by-step explanation:
Para encontrar la respuesta, tienes que utilizar la fórmula para encontrar el valor futuro:
VF=VP*(1+i)^n
VF=valor futuro
VP= valor presente=$3000
i=tasa de interés=0.037
n=número de periodos de tiempo=5 años
Ahora, puedes reemplazar los valores en la fórmula:
VF=3,000*(1+0.037)^5
VF=3,000*(1.037)^5
VF=3,598
De acuerdo a esto, la respuesta es que el valor total de la cuenta después de 5 años es de $3,598.
All statements of equality below are correct ? Need help!
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
Answer:
the answer is true
Step-by-step explanation:
because all are equal 14
Someone pls help im new :( tysm if u do:))
The answer to question 1/3 (-10)(9) is -30.
If this is incorrect, please, don't refrain to tell me. Thank you.
Savannah bought barn wood for $60 for 5 pieces. She spent $40 on materials to paint
and design the decorations. She sells each piece of wood for $25. What is her
profit/loss?
HELP ME PLEASE I BEQ YOU
!!!!!
Jenna is measuring the length of her textbooks to see if they
will fit in her new desk at school. Jenna's three textbooks
measure 25 centimeters long, 370 millimeters long, and 24
centimeters long. What is the combined length of Jenna's
textbooks if she wants to lay them down side-by-side in her
desk?
A. 86 millimeters
B. 86 centimeters
C. 860 centimeters
D. 8.6 millimeters
Answer:
86 cm
Step-by-step explanation:
1. convert 370 mm to cm ---> 37 cm
2. add : 25 cm+ 37 cm+ 24 cm = 86 cm
A flagpole 8m high cast a shadow of 12m, while a nearby building cast a shadow of 60m. How high is a building?
Answer:
40 m
Step-by-step explanation:
8/12=x/60
x=(8*60)/12
x=40
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,
[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]
[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]
Hence, the height of the building when it cast a shadow of 60 meters is 40 m.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Please help no link as answers
Step-by-step explanation:
You can imagine this figure as a rectangle and cube
If you want volume of this irregular figure than you have to do it like this:
V(figure)= V(rectangle)+ V(cube)
V(figure)= a*b*c+ a³
V(figure)= 4*3*(I don't see dimension on the left)+ 3³
V(figure)=12*(I don't see dimension on the left)+ 27
And only you have to to do is to set this dimension which I can't see.
Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store. He bought an item that was half price. If the item originally cost $43, what did Dan pay?
Answer:
$4.30
Step-by-step explanation
$43 x %50 = $21.50
$21.50 x %20 = $4.30
If the item originally cost $43 then Dan paid $17.20 for the item after the discount.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Dan gets a senior citizen’s discount of 20% for any purchase at the local auto parts store.
We have to find the amount paid by Dan after the discount.
If the original price of the item was $43 and it was half price, then Dan paid:
$43 / 2 = $21.50
Dan also gets a 20% discount on this price, so the amount he paid after the discount is:
$21.50 - 0.20($21.50) = $17.20
Therefore, Dan paid $17.20 for the item after the discount.
To learn more on Percentage click:
https://brainly.com/question/24159063
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Factor the expression step by step
Help please and thank you
Answer:
1000
Step-by-step explanation:
well just round it to the nearest thousand
If p p and q q vary inversely and p p is 14 when q q is 12, determine q q when p p is equal to 84.
Answer:
q = 2
Step-by-step explanation:
p α 1/q
p = k/q
Where, k = constant of proportionality
p = 14 ; q = 12
We can obtain the value of k
p = k/q
14 = k/12
k = 14 * 12
k = 168
p = 168/q
pq = 168
q = 168 / p
Value of q, when p = 84
q = 168 / 84
q = 2
Complete the system of linear equations so that there are infinitely many solutions.
Y= -3/5x + 2
blank x+ blank y=20
PLEASE HELPPPPPPP WILL GIVE BRAINLIEST
Answer:
y-intercept:
(0,2) or just -3/5
Step-by-step explanation:
Answer:
3x + 5y = 2
Step-by-step explanation:
y = -3/5 x + 2
multiply both sides by 5
5y = -3x + 2
add 3x to both sides
3x + 5y = 2
note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20
What is the value of x?
26°
to
X =
= [?]
Answer:
x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
Pls help will give brainless
Answer:
56 trucks and 24 cars
Step-by-step explanation:
Multiply each by 8 to continue the linear relationship.
Answer:
The answer is C. 56 trucks and 24 cars
Step-by-step explanation:
24/3 = 8
8 x 7 = 56
(っ◔◡◔)っ ♥ Hope It Helps ♥
Write the equation of each line in slope intercept form
Step-by-step explanation:
To Find :-
Equation in Slope Intercept Form .Solution :-
The line passes through (0,2) , therefore ,
> y intercept = 2 .
And slope ,
> m = -0.75
Using slope Intercept Form ,
> y = mx + c
> y = - 0.75 x + 3
How much of a circle does 100 degree angle turn through
Help ASAP I’ll mark you as brainlister
The length of an arc AB from the given circle with radius 6in is 15.7in
Length of an arcThe formula for calculating the length of an arc is expressed as:
L = r theta
where
r is the radius = 6in
theta is the central angle = 150 degrees = 5/6π rad
Substitute
L = 6(5/6π)
L = 5π
L = 5(3.14)
L = 15.7in
Hence the length of an arc AB from the given circle with radius 6in is 15.7in
Learn more on length of arc here: https://brainly.com/question/2005046
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What is the length of X to Y
answers r
Answer:
8.6
Step-by-step explanation:
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
A cube has a surface area of 6. What's the volume?
a 1
b 1/6
c 6
d 3/2
Answer:
Well all sides of a cube are congurent or equal and since the surface area is 6. We can develop a formula to find the missing variables.
Well since the surface area of a cube can be found by using 6a^2 where a is the side lengths.
So since 6a^2=6
Solve
a^2=1
a=1
SO each side is equivalent to 1
Now to find the volume just do LWH and you should get 1 as your answer or in this case (A)
Answer:
V = 1
Step-by-step explanation:
A=6a2
V=a3
Solving for V
V=6A3/2
36=6·63/2
36÷6 = 1
V = 1
What is the slope of the line?
2
-2
1/2
1
Answer:
the answer to the question is 1
Please help with this problem.
Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92