The correct question is;
The function f(x) = (7^x) + 1 is transformed to function g through a horizontal compression by a factor of 1/3.What is the equation of function g?
Substitute a numerical value for k into the function equation.
g(x) = 7^(kx)
Answer:
Value of k = 1/3 if the function is compressed by compression factor of 1/3.
Step-by-step explanation:
In transformations, the horizontal stretch or compression for a function f(x) is given by g = f(bx) where:
b is a constant.
If b > 0, then the graph of function is compressed.
Now, from the question, we are told that the function is transformed by a compression factor of 1/3.
Function is;f(x) = (7^x) + 1
In transforming to g = f(bx), we have;
g = (7^(x/3)) + 1
Since, we want to find k from the format g = 7^(kx)
Comparing with g = (7^(x/3)) + 1, we cans see that ; k = 1/3
The function g(x) is, [tex]g(x)=7(\frac{1}{3}x )+1[/tex]
The value of k is [tex]\frac{1}{3}[/tex]
To understand more, check below explanation.
Compression of function:The given function is,
[tex]f(x)=7x+1[/tex]
We have to find function g(x) from f(x) after compression by a factor of 1/3.
To find g(x), replace x by [tex]\frac{1}{3}x[/tex].
[tex]g(x)=7(\frac{1}{3}x )+1\\\\g(x)=\frac{7}{3}x+1[/tex]
Thus, the value of k is [tex]\frac{1}{3}[/tex]
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As the speed of a ship increases, the time remaining in the journey decreases. This is an example of what type of correlation?)
a)Can't be determined
b) No correlation
C)
Negative correlation
D)
Positive correlation
Answer:
I think negative correlation
Step-by-step explanation:
Answer:
negative correlation is the answer
Step-by-step explanation:
Jack is trying to figure out a rule for this table. He comes to the conclusion that the rule is f(x)= 3%. Why is Jack's rule incorrect?
Answer:
B) [tex]3^{4} \neq 243[/tex]
Step-by-step explanation:
Simplify the expression. What classification describes the resulting polynomial?
Answer:
A quadratic Trinomial
Step-by-step explanation:
hope this helps
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A
Answer: i believe the answer would be a quadratic trinomial.
Step-by-step explanation:
Solve 1/2n +3 < 5.
Which graph shows the solutions?
I WILL GIVE BRAINLY
Answer:
Third one
Step-by-step explanation:
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
The option c is solution of given equation
What is graph?the collection of all points whose coordinates satisfy a given relation (such as a function)
According to the question,
½n + 3 < 5
½n < 2
n < 4
Open circle at 4 because 4 in not included, arrow pointing towards left because it is less than 4
Hence, option c is correct
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please help but no wrong answers
Answer:
w / 3 ≤ 23
Hopes this helps :)
Pythagorean Theorem: Jason only has room for a TV that is less than 30^ prime prime wide.
Find the width of the TV
Answer:
Step-by-step explanation:
length² + width² = diagonal²
24² + width² = 40²
576 + width² = 1600
width² = 1600 - 576
width² = 1024
width = √1024 = √32*32
width = 32"
Width of the TV is more than 30"
Answer:
32
Step-by-step explanation:
First off, Bruh, 30" is not prime prime. That's 30 inches.
The base of the TV is 32. This is because A^2+B^2=C^2. 24 is A, 40 is C, and the base is B.
So that means that is we take 24^2 and the base^2, we should get 40^2. 40^2 is 1600. 24 squared is 576. So if we take the base and square it and add 576, we should get 1600. Or we could just take 1600 and subtract 576.
1600-576=1024.
So now, the root of 1024 is the base. Which is 32. Hope that helped.
what is the length of CD
Answer:
20 yds.
Step-by-step explanation:
From C to E 10 yds. so if you double that you get 20 yds.
Brainliest plz
Which expression re presents the volume of a cube whose edge length is 60 units
Answer:
60^3, so choice A
Step-by-step explanation:
The right answer of question no 20 is (60)^3.
well,I have given the answer of next one question also.
Look at the attached picture
Hope it will help you
Good luck on your assignment
What if the diameter of the inner sphere is 1.8 meters. What is the volume of the inflated space?
Answer:
Volume is 3.05m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, sphere
Step one
The formula for the volume of a sphere is expressed as
V=4/3πr³
Step two
Given data
Diameter d = 1.8m
Radius r = d/2= 1.8/2= 0.9m
Step three
Substituting our given data we have
V= 4/3*3.142*0.9³
V= 4/3*3.142*0.729
V= 9.162/3
V=3.05m³
What value ofj makes this addition sentence true? (Hint: Use properties of addition)
64+ (98 +28) = (j +64) + 98
A science class has 3 girls and 7 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Answer:
I think it is a
Step-by-step explanation:
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.
A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5
Answer:
b
Step-by-step explanation:
Hope this helpsss :)
Answer:
your answer will be: B. y3 - 4 y2 + 2 y - 5
Step-by-step explanation:
George Washington, Andrew Jackson, Ulysses Grant, Dwight Eisenhower
These four president were all-
Democrats
Republicans
Military leaders
College Professors
Answer:
George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.
A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.
*PLEASE HELP MEEEEEEEEE*
Answer:no
Step-by-step explanation:
Bc no
What is the value of x when 1/3x=9 1/3?
Helppp nowww
Answer:
x=28
Step-by-step explanation:
[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]
The value of x is 28.
What is mixed fraction?
A mixed fraction represented with its quotient and remainder is a mixed fraction.
How to convert a mixed fraction fraction into an improper fraction?To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.
According to the question:
we have
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
for finding the value of x
[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]
⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]
⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex] (multiply both the sides by 3)
⇒ [tex]x= 28[/tex]
The value of x is 28.
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What is the net change in the temperature relative to when lko woke up
Complete question:
Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.
What is the net change in the temperature relative to when lko woke up?
Answer:
The net change in the temperature relative to when lko woke up =
[tex]\bold{-3}[/tex] °
Step-by-step explanation:
Given that between his wake up time and lunch time, temperature rose by 11°. Let the new temperature be [tex] \bold{T1} [/tex] and let the initial temperature(temperature before wakeup time) be [tex] \bold{T} [/tex]
Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.
i.e, T1 = T + 11......................(1)
At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:
T1 + (-14).......................... (2)
Let's substitute T + 11 for T1 in equation 2, we have:
T + 11 + (-14)
To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,
ΔT = (T + 11 - 14) - T
Solving further, we have:
ΔT = T - T + 11 - 14
ΔT = 11 - 14
ΔT = -3°
Therefore, the net change in the temperature relative to when lko woke up is = -3°
Can somebody explain step by step ?
Answer:
[tex]3m\sqrt[5]{2m^4p^4}[/tex]
Step-by-step explanation:
We want to find the fifth root of [tex]486m^9p^4[/tex]. In order to do so, we need to factorise
Let's factorise 486 first:
486 = 2 * 243 = 2 * [tex]3^5[/tex]
Ah, we see that [tex]3^5[/tex] can be taken out and becomes 3 outside of the 5th root since the 5th root of
Now look at the variables. We see that since we have p^"4", whose exponent is less than 5, it's impossible for us to write it as a power of 5, so we leave this in the root.
We also have m^"9", which can be written as m^"5" * m^"4". Again, we see that the m^"4" term will have to remain inside the root, but we can take out the m^"5", which becomes m.
Our final answer is thus: [tex]3m\sqrt[5]{2m^4p^4}[/tex].
~ an aesthetics lover
1
Which expression is equivalent to 24 3?
O 213
23/3
276
23/6
please help!
Answer:
B 2 [tex]\sqrt[3]{3}[/tex]
Step-by-step explanation:
24 ^ 1/3
WE know that (ab) ^ c = a^ c * b*c
24 ^ 1/3 = 8^1/3 * 3 ^1/3
= 2 * 3 ^1/3
The value of equivalent expression is,
⇒ 2∛3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Expression is,
⇒ [tex]24^{\frac{1}{3} }[/tex]
Now, We can simplify as;
⇒ [tex]24^{\frac{1}{3} }[/tex]
⇒ [tex](8 * 3)^{\frac{1}{3} }[/tex]
⇒ [tex](2^{3} * 3)^{1/3}[/tex]
⇒ 2∛3
Thus, The value of equivalent expression is,
⇒ 2∛3
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Which binomial is a factor of the quadratic trinomial x2 − 7x + 12? A. (x + 2) B. (x − 6) C. (x + 3) D. (x − 4)
Answer:
D
Step-by-step explanation:
To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.
Find the exact solution of the equation. 7^x=8
Answer:
[tex] log_{7}(8) [/tex]
Use the given circle. Find the length s to the nearest tenth.
a) 10.5 in
b) 5.2 in
c) 3.3 in
d) 20.9 in
Answer: its A
Step-by-step explanation:
Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where θ is the angle, which arc creates at the center of the circle in degree.
The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,
[tex]\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
[tex]\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}[/tex]
[tex]=10.472\approx 10.5\rm\ in[/tex]
Thus, the length of arc s to the nearest tenth is 10.5 in.
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how do I turn 0.333 into a fraction
Therefore, the decimal is equivalent to 4/5. Answer: The decimal is converted to 4/5 as a fraction. Problem 2: How do you convert 2.83 (3 repeating) to a fraction? ... Answer: The decimal is converted to 17/6 as a fraction.
-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
To the nearest cubic inch, what is the volume of the
right triangular prism?
Answer:
The Volume of right triangular prism is 240 cubic inches
Step-by-step explanation:
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
In triangle ABC
AC = Hypotenuse = 13 in.
AB = Height
BC = Base = 12 in.
Using Pythagoras theorem
[tex]Hypotenuse^2=Perpendicular^2+base^2\\13^2=Perpendicular^2+12^2\\\sqrt{13^2-12^2}=Perpendicular[/tex]
5=Perpendicular
Area of base = [tex]\frac{1}{2} \times Base \times Height = \frac{1}{2} \times 12 \times 5 = 30 in^2[/tex]
Height of prism = 8 in
Volume of right triangular prism =[tex]\text{Area of base} \times height[/tex]
Volume of right triangular prism =[tex]30 \times 8 = 240 in^3[/tex]
Hence The Volume of right triangular prism is 240 cubic inches
In the number 9.13 what is the value of the digit 3, written as a fraction?
Answer:
The value of the digit 3, written as a fraction is[tex]\frac{3}{100}[/tex]
Step-by-step explanation:
Number : 9.13
A place value tells you the location of each digit in a number.
If a number has a decimal point,
The first digit to the right of the decimal point is the number of tenths.
The second digit to the right of the decimal point is the number of hundredths.
The first digit to the left of the decimal point is the number of ones.
The second digit to the right of the decimal point is the number of tens.
So, The digit three is The second digit to the right of the decimal point is the number of hundredths.
So, the value of the digit 3, written as a fraction is[tex]\frac{3}{100}[/tex]
The required value of the digit 3, written as a fraction is 3\100.
We have to determine, In the number 9.13 what is the value of the digit 3, written as a fraction.
According to the question,
Given number : 9.13
A place value tells you the location of each digit in a number.
If a number has a decimal point,
The first digit to the right of the decimal point is the number of tenths.
The second digit to the right of the decimal point is the number of hundredths.
The first digit to the left of the decimal point is the number of ones.
The second digit to the right of the decimal point is the number of tens.
So, The digit three is the second digit to the right of the decimal point is the number of hundredths.
Hence, The required value of the digit 3, written as a fraction is 3\100.
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A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference 150 m
Answer:
23.9 is the radius
Step-by-step explanation:
150/3.14 =47.7707006369
47.7707006369/2 = 23.8853503185
Round to nearest tenth = 23.9
Hope this helps!
Answer:
23.9
Step-by-step explanation:
Find the volume of the following cone. Use 3.14 for π.
Question 2 options:
9847.04 cubic meters
39388.16 cubic meters
10257.33 cubic meters
41029.33 cubic meters
Answer:
A. 9847.04 cubic meters
Step-by-step explanation:
Answer:
B; 39388.16 cubic meters
Step-by-step explanation:
I think the following information will make things clearer:
The formula for finding the volume of a cone is V = πr²h/3:
We can substitute our lengths to find out the volume.
[tex]28^{2} = 784\\48 \: \div \: 3 = 16\\16\: \cdot \: 784 \: \cdot \: 3.14\\= 39,388.16[/tex]
Thusly, the volume of the cone is [tex]\boxed{39,388.16}[/tex].
Hope this helps!! ((:
Please answer quickly!
Answer:
D.
t <= 4.
Step-by-step explanation:
15 + 3/2 t <= 21
3/2 t <= 6
t <= 6 * 2/3
t <= 4.
Find the area. Will mark brainliest.
Answer:
Area of shaded part of triangle
=(18*12/2)-(10*12/2)
48mm²
