Graph: f(x) = 3/2 (2)^x Calculate the initial value of the function.

Answers

Answer 1

Answer:

3/2

Step-by-step explanation:

f(0) = 3/2 · 2^0

anything raised to the power of zero equals one

f(0) = 3/2 · 1


Related Questions

Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
Aziza’s claim is not correct. The third side can be any length less than 26 in.
Aziza’s claim is not correct. The third side can be any length.
Aziza’s claim is not correct. The third side must create a scalene triangle.

Answers

Answer:

First choice.

Step-by-step explanation:

The third side cannot be 26 or greater ( as 11 + 15 = 26).

Answer:

it is A i think

Step-by-step explanation:

Ally wants to attend a Broadway show but needs to figure out a way to get into Manhattan. She wants to take a yellow taxi to Manhattan. The yellow taxi charges $1.75 flat rate in addition to $0.65 per mile. Ally has no more than $10 to spend on a ride. How many miles can Ally ride the yellow taxi without going over her budget? Label a variable, write an inequality that represents the number of miles, solve the inequality and leave your answer as an exact decimal. PLS!

Answers

Answer:12.6923076923

Step-by-step explanation:for starters u have to subtract 1.75 out of 10 dollars after that u have to divide 8.25 which is the left over of 1.75 minus 10 after u divide u should get 12 if u round but since u want the full decimal thinggy it is 12.6923076923

Eight more than twice a number is four less than the same number​

Answers

Answer:idk

Step-by-step explanation:

The equation would be 2x+8=x-4
+4. +4
2x+12=x
-2. -2
12=-1x
-12=x
I hope that’s right,don’t mind the .’s I couldn’t get rid of them

Find u+v-4u.
u=(5,-2) and v= (-5,7)

Answers

By placing the given value in equation , we get u + v - 4u = (-20, 13)

How to evaluate vector?

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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I don't know how to do this can you help me please?

I don't know how to do this can you help me please?

Answers

Answer:

Key characteristics include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

Step-by-step explanation:

I don't really know how to help on this but I hope of you know what key characteristics are you'll understand what to dom

Complete the table for the equation you wrote in Exercise 6.

Answers

Answer:

You know you forgot to put a pictures I would recommend to put a picture to get desired answers!

Step-by-step explanation:

Answer:7,10,13,16

:))))

URGENT !! And pls answer in fraction form

The circle below has center O, and its radius is 3 ft. Given that m ZAOB = 30°, find the length of the major arc ACB.
Give an exact answer in terms of , and be sure to include the correct unit in your answer.

URGENT !! And pls answer in fraction form The circle below has center O, and its radius is 3 ft. Given

Answers

Answer:

\( \frac{11\pi}{2 } \: ft\)

Step-by-step explanation:

Given:

AOB = 30° (it is a central angle, which is equal to the arc on which it rests on)

r (radius) = 3 ft

Find: arc ACB - ?

If arc AB is 30°, then arc ACB is (remember, that a full circle forms an angle of 360°)

\(360° - 30° = 330°\)

Now, we can find the length of the arc ACB:

\(l = \frac{2\pi \times r \times \alpha }{360°} = \frac{2\pi \times 3 \times 330°}{360°} = \frac{11\pi}{2} \: ft\)

A class of students recorded the amount of time spent on homework on Monday night.
The times are recorded below, in hours. Use the data to answer question 8
DATA:
1/3
4
2/1
2
2 2/3
4
1 1/3
4
1/1
4
3
3/1
4
3/3
4
2/2
8. Make a line plot small to big of the data shown above. Be sure to include a title and correctly
label each value

Answers

Answer:

here is a line plot of the data provided:

     |  

4.0   |                  X

     |

3.5   |

     |

3.0   |          X

     |

2.5   |

     |

2.0   |   X       X     X   X

     |_________________________

          1/3   1 1/3   2 1/3   3

Title: Homework Time on Monday Night

The plot shows the time in hours spent on homework by the students, with each "X" representing one data point. The horizontal axis represents the possible values of the data, and the vertical axis shows the frequency of occurrence of each value.

The values are labeled correctly on the horizontal axis, with each tick mark representing one possible value. The vertical axis is not labeled with specific values, but it is clear that the scale is in increments of

Please help is due tonight

Please help is due tonight

Answers

The linear function that has the greatest initial value is Function C.

Function B has the greatest rate of change.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function A:

The initial value is o.

f(0) = 0

The rate of change.

= (f(4) - f(2)) / 4 - 2

= (10 - 5) / 2

= 5/2

= 2.5

Function B:

The initial value is

y = 3x - 1

y = 3 x 0 - 1 = 0 - 1 = -1

Let y = f(x)

The rate of change.

= (f(2) - f(1)) / (2 - 1)

= (5 - 2) / 1

= 3

Function C:

The initial value is 2.

(0, 2) is considered as when x = 0, y = 2.

Take two coordinates from the graph.

(3, 3) and (6, 4)

The rate of change.

= (4 - 3) / (6 - 3)

= 1/3

= 0.33

Thus,

Function C has the greatest initial value.

Function B has the greatest rate of change.

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Megan wants to predict how much gas is left in her tank based on the distance she has driven.
She filled up her tank and measured the amount of gas in her tank after driving certain
(in liters)
distances (in kilometers). Her data is summarized in the table
below.

Megan wants to predict how much gas is left in her tank based on the distance she has driven.She filled

Answers

The scatter plot that displays the data the best way is; Graph D

How to interpret Scatter Plots?

We are given that;

After a distance of 0 km, the amount of gas left is 50 Liters

After a distance of 100 km, the amount of gas left is 42.2 Liters

After a distance of 200 km, the amount of gas left is 34.2 Liters

After a distance of 300 km, the amount of gas left is 26.0 Liters

After a distance of 400 km, the amount of gas left is 17.6 Liters

After a distance of 500 km, the amount of gas left is 9.1 Liters

The independent variable from this question is simply the distance upon which the gas remaining in her tank depends on. Thus, the gas that is left in her tank is the dependent variable. The distance lies on the x-axis and the gas left lies on the y-axis.

Graphs B and D show us that the given data is as it is. However, Graph B is quite difficult to read as the scale is not reasonable. Therefore, graph D is the correct answer.

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Answer:

its D

Step-by-step explanation:

how do i go about finding x° and ycm, please?
I've tried Sine Rule & Cosine Rule... I thought i had done it correctly until i worked out the angles added up to much higher than 180° so it cannot be correct... can anyone help?

how do i go about finding x and ycm, please? I've tried Sine Rule & Cosine Rule... I thought i had

Answers

From the solution;

x = 62.62°

y = 8.9 cm

What is the sine rule?

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Researchers for a company that manufactures batteries want to test the hypothesis that the mean battery life of their new battery is greater than the known mean battery life of their older version. The researchers selected random samples of 32 of the new batteries, subjected the batteries to continuous use, and determined the mean and standard deviation of the battery lives in the sample. Which of the following is an appropriate test for the researchers' hypothesis?

a. A one-sample z-test for a population mean.
b. A one-sample t-test for a population mean.
c. A one-sample z-test for a population proportion.
d. A matched-pairs t-test for a mean difference
e. A two-sample t-test for a difference between means

Answers

(b) one-sample t-test for a population mean

ur welcome :D

The most appropriate test to be used here would be a b. A one-sample t-test for a population mean.

Reasons to use one-sample t-test for a population mean.

One sample t-test is used when one wants to compare the mean of a population to another mean for statistical difference which is what the researchers hope to do here in comparing the mean battery life of a new battery to an old one.

A population mean will also be used because the population standard deviation is not given.

In conclusion, option B is correct.

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Hailey simplified the expression
Step 1: (3x-³y4)²
Step 2: 3x-6y8
3y
Step 3:-
12ry
(12)² using the following steps:
Did Hailey correctly simplify the expression?
O Yes, Hailey correctly simplified the expression.
O No, in Step 1, Hailey should have added the exponents instead of subtracting them.
O No, in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.
O No, in Step 2, Hailey should have also multiplied the exponent of the coefficient by 2 to get 3².

Answers

No, in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.

What is exponent value?That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 64. Here, 4 is the exponent and 6 is the base.An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8.The exponent of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number. In this example: 82 = 8 × 8 = 64. (The exponent "2" says to use the 8 two times in a multiplication.)

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In Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.

What is Polynomial ?

A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x² + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

When a binary operation is conducted to a set, an identity element, also known as a neutral element, is an element of the set that leaves each element of the set untouched. In algebraic structures like groups and rings, this idea is applied.

A formula representing factor products as a sum over terms, each with a binomial coefficient, is known as a binomial identity. The binomial theorem serves as the archetypal illustration.

The Expression is

(3x³ - y⁴)² = 9x⁶ - 6x³y⁴ + y⁸

So,  in Step 2, Hailey should have squared each exponent value instead of multiplying each value by 2.

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Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

$1,156.90
$1,209.35
$1,293.40
$1,315.50

Answers

c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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Help please it’s important

Help please its important

Answers

Answer:

C

Step-by-step explanation:

solve the inequally t-5≤-7 and graph the solution

Answers

We have to solve the inequality

\(t-5\leq-7\)

To do that, we add the 5 to both sides of the inequality, then we have

\(\begin{gathered} t-5\leq-7 \\ t-5+5\leq-7+5 \\ t\leq-2 \end{gathered}\)

Then the solution to the inequality in interval notation is

\((-\infty,-2\rbrack\)

To graph the inequality we first graph the equation

\(t-5=-7\)

simplifying the equation we have

\(t=-2\)

This represents a vertical line that intersects with -2

Now we have to decide wich of the two semiplanes we have to choose to "color" that represents the solution of the inequality, since the solution was

\(t\leq-2\)

we color the semiplane to the left of the line

solve the inequally t-5-7 and graph the solution
solve the inequally t-5-7 and graph the solution

Solve by Factoring:
2x^2 - x - 3 = 0

Answers

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

How far apart are (-4,-6) and (-4, 13)?
Pls hurry and explain

Answers

Answer:

√19

Step-by-step explanation:

√(13-(-6))+(-4-(-4))

√(19+0

√19

Tyreek Hill has scored 32 touchdowns in 59 games. If he continues at this rate, how many touchdowns will he score in the 2020 season where he plays 16 games? Write the equation.​

Answers

Answer:

hi            

Step-by-step explanation:

The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope

Answers

Answer:

Step-by-step explanation:

The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.

Answer y == 3

+7

Step-by-step explanation:

The graph of a linear relationship contains the points (1, 10) and (3, 16).

Write the equation of the line in slope-intercept fo

Step-by-step explanation:

the general slope-intercept form is

y = ax + b

a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

b is the y-intercept - the y value when x = 0.

for the slope we see

x changes by +2 (from 1 to 3)

y changes by +6 (from 10 to 16)

so, the slope a is +6/+2 = 3

and the semi-ready equation is

y = 3x + b.

now we use one of the points in the equation to solve for b. I picked (1, 10) :

10 = 3×1 + b = 3 + b

b = 7

so, the full equation is

y = 3x + 7

WILL GIVE BRAINLIEST*

A plane slices a double-napped cone parallel to the base of the cone. Which conic section is formed?

Answers

Answer:

A circle is formed.

Step-by-step explanation:

When a plane, parallel to the base of a cone, slices a cone, a circle is formed

and for proof:

WILL GIVE BRAINLIEST* A plane slices a double-napped cone parallel to the base of the cone. Which conic

Help please!!! What was the number of small, medium, and large pizzas delivered to the college?

Help please!!! What was the number of small, medium, and large pizzas delivered to the college?

Answers

In the  word problem above, 0 small pizzas, 1 medium pizza, and 5 large pizzas were delivered to the college.

How  is this so?

Let  S = number of small pizzas delivered

Let M = number of medium pizzas delivered

Let L = number of large pizzas delivered

We'll start by solving equation 1 for one variable and substituting it into the other equations.

S + M + L = 12

We can rewrite this equation as -

S = 12 - M - L

Now, substitute this value of S in equations 2 and 3 -

4S + 10M + 15L = 109

4(12 - M - L) + 10M + 15L = 109

48 - 4M - 4L + 10M + 15L = 109

6M + 11L = 61

2S + 4M + 13L = 81

2(12 - M - L) + 4M + 13L = 81

24 - 2M - 2L + 4M + 13L = 81

2M + 11L = 57

Now we have a system of two equations with two variables -

6M + 11L = 61 ...(4)

2M + 11L = 57 ...(5)

Subtract  equation   (5)from equation (4) -

(6M +   11L) - (2M +11L) = 61 - 57

4M = 4

M = 1

Substitute the value of M into equation (5) -

2(1) + 11L = 57

2 + 11L = 57

11L = 55

L = 5

Now substitute the values of M and L into equation (1) -

S + 1 + 5 = 12

S + 6 = 12

S = 6 - 6

S = 0

Therefore, the solution is -

S = 0 (no small pizzas)

M = 1 (1 medium pizza)

L = 5 (5 large pizzas)

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Full Question:

Although part of your question is missing, you might be referring to this full question:

a pizza shop delivered 12 pepperoni pizzas to a college on the first night of final exams. the total cost of the pizzas was $109. a small pizza costs $4 and contains 2 ounces of pepperoni. a medium pizza costs $10 and contains 4 ounces of pepperoni. a large pizza cost $15 and contains 13 ounces of pepperoni. the owner of the pizza shop used 5 pounds 1 ounces of pepperoni in making the 12 pizzas. how many pizzas of each size were delivered to the college?

what is the area of the figure to the nearest hundredth? pleeeaaase heeeeelp​

what is the area of the figure to the nearest hundredth? pleeeaaase heeeeelp

Answers

Answer:

it's 44. something

it has something to do with the part circle it's a 180%

Answer: 26.93 square inches

Step-by-step explanation:

first let us find the area of the rectangle shape

rectangle area = length times width

rectangle area = 2 times 11

rectangle area = 22 inches


now let us do the half circle area

half circle area = 1/2(πr^2)

half circle area ~ 1/2 times 3.14(1)^2

half circle area ~ 1/2 times 3.14^2

half circle area ~ 1/2 times 9.8596

half circle area ~ 4.9298


now let’s add the half circle area and the rectangle area to get our total area


total area ~ 4.9298 + 22

total area ~ 26.9298

total area ~ 26.93


26.93 square inches is the total area rounded to the nearest hundredth.

Sarah’s mom got her a Math tutor because she scored a 65 on her first math test. After getting some extra help, she scored a 69 on the second test, a 73 on the third test, and a 77 on the fourth test. If this pattern continues, on what test will Sarah score a 93?

Answers

Answer:

The eight test

Step-by-step explanation:

The sequence is

65, 69, 73, 77, 81, 85, 89, 93

Find the volume of this sphere use three

Find the volume of this sphere use three

Answers

Answer:

2916 ft³

Step-by-step explanation:

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

\(V = \frac{4}{3}\pi r^{3}\)

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

V = 4/3 * 3 * 9³V = 2916

When using 3 for pi, the volume of the sphere is 2916 ft³.

Each big square is cut into 3 parts to represent multiplying by one-third. The number of small shaded squares in the circled parts of each big square is the numerator of the product. The total number of small squares in a single big square represents the denominator of the product. The product is

Answers

Answer:the answer is 5/9

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

What is the 10th term in this sequence: 4, 8, 10, 12,...

Answers

24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Answer:24? The numbers are increasing by 2 each time. Starting from 4, 8, 10, 12, 14, 16, 18, 20, 22, 24. Where 24 is the tenth number in the sequence.

Step-by-step explanation:

4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2

Answers

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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Benny collects 25 empty soda cans each day to bring to the recycling center. Let d represent the total
number of days he has been collecting cans. If he brought 175 cans to the recycling center, which
equation could be used to find the number of days Benny collected cans?

Answers

Answer:

234

Step-by-step explanation:

Answer:

175 divided by 25

Step-by-step explanation:

7 days

Solve the following problem: X^4-7x^2-30=0

Answers

Answer:

Step-by-step explanation:

Solve the following problem: X^4-7x^2-30=0

Answer:

\((x^{2} -10)(x^{2} +3)\)

Step-by-step explanation:

Other Questions
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