Find the exponential equation that passes through the points (0,8) and (4,1/2).

Answers

Answer 1

Answer:

y=4(1/2)

Step-by-step explanation:

Answer 2

Answer:

y = 8 × (½)^x

Step-by-step explanation:

y = a(b^x)

8 = a(b⁰)

a = 8

y = 8(b^x)

½ = 8(b^4)

1/16 = b⁴

b = ½

y = 8 × (½)^x


Related Questions

What single transformation was applied to quadrilateral A to get to quadrilateral B



a.)translation

b.)rotation

c.) reflection

d.) Dilation

Answers

Answer:

B. a rotation

Step-by-step explanation:

The shape appears to have the same size, but it has been moved in a way that  is not reflection. Through the process of elimination, the answer is rotation.

Answer:

D.) dilation

Step-by-step explanation:

Solve the equation. 4k2= 5k

Answers

Answer:

0,5/4

Step-by-step explanation:

4k·2= 5k

4·2k= 5k

8k=5k

Please mark me brainliest if the helped (I need it)

Consider this system of equations. Which equation represents the first equation written in slope-intercept form?

5 x minus 2 y = 10. y = one-fourth x + 1.

y = five-halves x minus 5
y = five-halves x + 10
y = negative five-halves x + 10
y = negative 5 x minus 5

Answers

Answer:

y= 5/2x - 5

Step-by-step explanation:

5x   -   2y   =   10

-5x                  -5x (Subtract both sides by 5x to leave y by itself)

-2y = -5x + 10

-2y/-2 = -5/-2 + 10/-2

(Divide both sides by -2 to leave y with no coefficient. -5/-2 = 5/2 because there are two negatives. 10/-2 = -5.

y = 5/2 - 5

Answer:

A

Step-by-step explanation: i think tell me if im wrong

5, –20, 80,

The geometric sequence?

Answers

Step-by-step explanation:

This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so

5 -20 80 -320 1280

You are given a random 4-digit PIN for your bank card. How many 4 digit PINs are
possible if the numbers can be repeated?

Answers

Answer:

There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

A. X-2
B. X-1
C. X+1
D. X+2

Answers

Answer:

Step-by-step explanation:

Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph

X + 1 must be a factor of the polynomial graphed

How to find the factor

The factor is solved using the points where the graph intersects the x-axis.

This points are called the roots

Examining the graph the roots are x = -1 and x = 4

Hence x + 1 must be a factor

Work Problem: Mrs. Perry needs Mr. Chesah's help painting her new office. Perry could paint her office in 4 hours. She heard that Chesah has the new PAINTMASTER3000...and could paint Perry's fancy new office in half the time. If they work together, how long would it take them to paint Perry's new office?


A 0.75 hrs
B 1.333 hrs
C 6 hrs
D 3 hrs

Answers

Answer:

6 hrs

Step-by-step explanation: If Im reading corectly your saying that Mrs. Perry is painting for 4 hours plus Mr. Chesah painting for 2 hours (half of 4 hours) Add them up and get 6 hrs.  I hope this is what you meant.

Final answer:

To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. When two people work together, their work completion rates are added. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.

Explanation:

To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. Let's say that Mrs. Perry can paint 1 office in 4 hours, which means her work completion rate is 1/4 offices per hour. Since Mr. Chesah can paint the same office in half the time, his work completion rate is 1/2 offices per hour.

When two people work together, their work completion rates are added. So, the combined work completion rate of Mrs. Perry and Mr. Chesah is 1/4 + 1/2 = 3/4 offices per hour.

To determine how long it would take them together to paint Perry's office, we can take the reciprocal of the combined work completion rate. This gives us 4/3 hours, which is equivalent to 1 hour and 20 minutes. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.

Two angles of a quadrilateral measure 100° and 90°. The other two angles are in a ratio of 3:14. What are the measures of those two angles?

quadrilaterals.

Answers

Answer: 3=30 14=140

Step-by-step explanation:

100+90=190 360-190=170

3+14=17 170 divided by 17=10

3x10=30 14x10=140

Answer: They other measures of the quadrilateral are 30° and 140°.

Step-by-step explanation:

360 - 190 = 170  then 3/17 x 170 gives 30 then 14/17 x 170 gives 140.

i need help please ​

Answers

Answer:

9/10

Step-by-step explanation:

1/2+2/5= 5/10+4/10= 9/10

Answer:

9/10

Step-by-step explanation:

You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10

TL:DR

5/10+4/10

9/10

How do I explain to a kid what volume mean?

Answers

Answer:

You could explain it with a box. Fill a box to the brim with objects. Tell him/her that volume is the stuff inside the box. Even if there are no objects in the box, there is still air. That is volume.

Answer:

It is a sound that can be adjusted

Step-by-step explanation:

Volume is something that is on all handheld or console like elctronics.

It can change the sound from loud to quiet.

Which addition does the model below represent?
A. 3+(-1)
B. 3+4
C. 3+ (-4)
D. 3+1

Answers

Answer:

C. 3+ (-4)

Step-by-step explanation:

First we have three but then we go back 4 spaces which results in -1

The simplified answer of C. would be 3-4= -1

Answer:

C.

Step-by-step explanation:

Solve for x. −18<9x

Answers

Answer:

ok its 6969 np btw <3;)





What is the value of x?

Answers

Answer:

x=15

Step-by-step explanation:

Definition of Isosceles triangle --- two side lengths are always equal!

Answer: 15

Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.

A certain drug dosage calls for 21 mg per kg per day and is divided into two doses (1 every 12 hours). If a person weighs 181 pounds, how much of the drug should they get each dosage?

Answers

Final answer:

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.

Explanation:

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.

Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.

Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.

Final answer:

To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.

Explanation:

To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.

I wish my teacher could explain how to do this plz help

Answers

Answer: (-2,7)

Step-by-step explanation:

Answer:

The answer is c

Because it reflects over the y axis,soo the x axis stays the same

But the y dosent stay the same it turns into a negative

Brainliest plz

Happy to help

Step-by-step explanation:

Triangle JKL are drawn on a coordinate plane. The coordinates are J: (2,4) K: (1,1) and L: (4,0). Using the scale factor of 2, what is L'?
A. (4,2)
B. (8,2)
C. (8,0)

Answers

Answer:

c

Step-by-step explanation:

How does the value of log 100 compare with the value of log 20?
The value of log 100 is about 4 times the value of loge 20
The value of log2100 is about 7 times the value of loge 20
The value of log2100 is about 3 times the value of log 20
O
The value of log2100 is about 3 times the value of loge 20

Answers

Answer:

option A

Step-by-step explanation:

log_2(100)

we can simplify it

we can use base change formula

log_2 (100)=\frac{ln\left(100\right)}{ln\left(2\right)}

log_2 (100)=6.643856

Second value is :

log_6(20)

we can simplify it

we can use base change formula

log_6(20)=\frac{ln\left(20\right)}{ln\left(6\right)}

log_6(20)=1.67195

so, we know that

6.6438 is almost 4 times of 1.67195

The value of log₂ (100) is about 4 times the value of log₆(20). The correct answer would be an option (A).

What are the properties of logarithms?

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

The logarithms expression is given, as follows:

log₂(100)

It can use the base change formula,

log₂ (100) = ln (100) / ln (2)

log₂ (100) = 6.643856

The second value is :

log₆(20)

It can use the base change formula

log₆(20) = ln (20) / ln (6)

log₆(20) = 1.67195

Since 6.6438 is almost 4 times 1.67195

Hence, the correct answer would be option (A).

Learn more about the logarithmic properties here:

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Finding the area in this composite figure

Answers

Final answer:

To solve for the area of a composite figure, break it down into simpler shapes and calculate their areas, ensuring all measurements are in the same units and converting if necessary, then add the areas together and express the answer to the correct number of significant figures.

Explanation:

The question is about finding the area of a composite figure, which is often a problem in high school mathematics. When calculating the area of a composite figure, we can break it down into simpler shapes such as rectangles and triangles. The area of a rectangle is found by multiplying its height by its width, while the area of a triangle is half the product of its base and height. We can then add these areas together to get the total area of the composite figure. It's important to ensure that all measurements are in the same units before performing the calculation. If necessary, we use conversion factors to change to the appropriate units and report the final answer to the correct number of significant figures.

For example, if we are given a rectangle with dimensions provided in meters and centimeters, we convert all measurements to the same unit, usually the meter, before calculating the area. To maintain accuracy, we use the fact that the number 1 and 100 in the conversion factors (such as 1m = 100 cm) are exact numbers and do not impact the significant figures of our final answer.

Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.

Answers

Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Step-by-step explanation:

It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Congruent triangles:

Since

Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.

So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Learn more about an angle here: https://brainly.com/question/11067716

y = 3x – 5, what would the output be for an input of 4?

Answers

Answer: y = 7

Step-by-step explanation:

y = 3(4) - 5

y = 12 - 5

y = 7

Answer:

y=12

Step-by-step explanation:

Substitute the given value into the function and evaluate.

(Plug in your input to get your output, in this case, x=4)

y=3(4)-5

y=12-5

y=12

The answer is y=12.

Find the volume of the figure.

Answers

Answer:

233 in^3

Step-by-step explanation:

First we will find the volume of the square at the bottom

V = s^3  where s is the side length

V = 5^3

V = 125 in^3

Then we will find the volume of the rectangular prism at the top

V = l*w*h

V = 12*3*3

V =108 in^3

The total volume is the sum of the two volumes

V = 125+108

    = 233 in^3

Answer:

233 in³

Step-by-step explanation:

Cube + cuboid

(5×5×5) + (3×3×12)

233 in³

send help , 20 points !!
what is 1 and 2/9 minus 3 and 1/3

Answers

Answer:

-1 and 8/9

Step-by-step explanation:

Answer:

The answer would be -19/9

The plot shows the temperatures (in ºF) for a group of children who visited a doctor’s office.

A plot shows the temperature of children at a doctor's office. 1 child had a temperature of 96 degrees; 2, 97 degrees; 5, 98 degrees; 2, 99 degrees; 1, 100 degrees.

What conclusions can be drawn from the data set? Check all that apply.
The measures of center are the same.
The interquartile range is 4.
There is little variability in the data.
The average temperature is 98.
The data is clustered around the mean.

Answers

Answer:

1.The measures of center are the same.

3.There is little variability in the data.

4.The average temperature is 98.

5.The data is clustered around the mean.

Step-by-step explanation:

Answer:1,3,4,5

Step-by-step explanation:i did the quiz

Solve the equation for x - 17 = 29

Answers

X = 46 . add 17 to both sides, and x stays the same.

Answer:

X= 46

Step by Step explanation:

Move all terms not containing x to the right side of the equation.

Which triangle side lengths form a right triangle? Choose all that apply.
5,6,7
6, 8, 14
8,15, 17
10,12,15
15, 20, 25
16, 18, 20

Answers

Both 8,15,17 and 15,20,25 will form a right triangle

If you need help with these types of problems just go into google and search Pythagorean theory silver and plug in 2/3 side lengths and if the outcome equals the third number, then that means that the side lengths make a right triangle

The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.

What is a right triangle?

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

According to the given problem,

We know, in a right-triangle,

Hypotenuse² = Perpendicular² + Base²

For sides, 8, 15, 17

⇒ Hypotenuse ² = 8² + 15²

⇒ Hypotenuse² = 64 + 225

⇒ Hypotenuse = √289

⇒ Hypotenuse = 17

For sides, 15, 20, 25,

⇒ Hypotenuse² = 15² + 20²

⇒ Hypotenuse² = 225 + 400

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.

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One of the solutions to x^2– 2x – 15 = 0 is x = -3. What is the other solution?

Answers

Answer:x=5

Step-by-step explanation: x^2−2x−15=0

(x−5)=0                                                                                                                      x−5=0                                                                                                                             x=5                                                                                                                                                                                                              

Answer:

You have to factor the equation and the way you do this is to find two numbers that multiply to get -15 and add to get -2 and those numbers are 3 and -5 so the factors are (x+3) and (x-5)

You set them equal to 0 and solve for x

x+3=0           x=-3

x-5=0            x=5

SO THERE YOU HAVE IT: x=5!

Have a nice day!!!

-dsk-

Step-by-step explanation:

The pyramids have always fascinated Kristina, so she wants to build two model pyramids to put on her mantel. She wants her model of Khufu’s pyramid to have a volume of 73.5 cubic inches and a height of 4.5 inches. What would the side length of the base of the pyramid be? Is this number rational or irrational? Why?

Answers

Answer:

Side length = 7 inches

This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)

Step-by-step explanation:

The volume of the pyramid can be calculated as:

V = (1/3)*A*h

Where V is the volume, A is the area of the base and h is the height.

If the volume is 73.5 in3 and the height is 4.5 in, we can find the area of the base:

73.5 = (1/3)*A*4.5

A = 73.5*3/4.5 = 49 in2

As the pyramid have a square base, we can calculate the side length of the base:

A = L*L (L = length)

49 = L^2

L = 7 inches

This number is a rational number, because it is a whole number and it can be represented as a fraction (7 = 14/2 for example)

Answer:

7 rational a rational number is a whole number

Step-by-step explanation:




13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indicated


parameter.


A psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness. Use P, the true percentage


of the population that suffers from extreme shyness.


OHo:p> 4.1%


Hips 4.1%



OHo: P = 4.1%


H:p> 4.1%


OHo: p < 4.1%


Hip 24.1%



OHo: P = 4.1%


Hip < 4.1%

Answers

Answer:

Null Hypothesis, [tex]H_0[/tex] : P = 4.1%

Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

Let p = true percentage  of the population that suffers from extreme shyness.

So, Null Hypothesis, [tex]H_0[/tex] : P = 4.1%

Alternate Hypothesis, [tex]H_A[/tex] : P > 4.1%

Here, null hypothesis states that % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, alternate hypothesis states that more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

Which of the following are polynomial functions?
Check all that apply.

Answers

Answer:

Step-by-step explanation:

The heights of a group of boys and girls at a local middle school are shown on the dot plots below.

2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.

When comparing the shapes of the two sets of data, what conclusion can someone draw?
The shortest boy is taller than the shortest girl.
The range for the girls is greater than the range for the boys.
There is an outlier in the data for the boys, but not for the girls.
The girls are generally taller than the boys.
Mark this and return

Answers

There is an outliner in the data for the boys, but no the for the girls
Other Questions
McGregor argues that ___ is self-fulfilling. If management expects little from its workers, little is what theyll get.Theory XTheory YTheory ATheory B The Sherman Antitrust Act of 1890 was the first federal act passed with the intent of outlawing monopolisticbusiness practices and prohibiting the establishment of What philosopher who helped shape Chinese thought is known as the First Teacher? Assume again that Andretti Company has sufficient capacity to produce 120,150 Daks each year. A customer in a foreign market wants to purchase 31,150 Daks. If Andretti accepts this order it would have to pay import duties on the Daks of $3.70 per unit and an additional $18,690 for permits and licenses. The only selling costs that would be associated with the order would be $2.40 per unit shipping cost. What is the break-even price per unit on this order? (Round your answers to 2 decimal places.) Paul Solomon is the owner of Solly's, an upscale restaurant in Tampa, Florida. 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Suppose tax cuts, analogous to the helicopter drop, were proposed as a method to shift the labor demand curve to the right following a recession. How effective do you think this policy would be? A. Somewhat effective, but only to the extent that most of the tax cut is concurrently spent on domestic output, that multiplier effects occur, and crowding out is small. B. Very effective, since tax cuts are concentrated among wealthy individuals who usually spend all or most of the extra income. C. Not effective, since the majority of the tax cut is saved and any portion spent leads to complete crowding out. D. Not effective, since the tax cuts go to consumers rather than to the employers (demanders) of labor. Find the value of x that makes m n. Read each source carefully. Which statement is thebest synthesis of these sources?OThe state of California was not affected by theDepression.The state of California taxed residents to pay forDust Bowl migrants.The people of California were experiencing healthproblems.The people of California struggled to provideresources and healthy homes for migrants. Which statements describe examples of how science and technology benefit society? Check all that apply.The publication of a study confirms the existence of an earthquake fault line.The creation of new oil fracking methods reduces gasoline costs at the pump.The invention of Bluetooth encourages automakers to create hands-free devices.Concerns about health effects from smog are monitored by well-established methods.Emissions of greenhouse gases promote innovative ideas to monitor environmental effects.Mark this and returnSave and ExitNextSubmitSubmit A trait is a characteristic. Think about your physical traits (eye color, skin tone, height, hair, face, allergies, etc.) What traits do you think you inherited or received from your parents? What country established ties with the Soviet Union? 4 things about liberators and survivors video My fellow Americans: As President and Commander in Chief, it is my duty to the American people to report that renewed hostile actions against United States ships on the high seas in the Gulf of Tonkin have today required me to order the military forces of the United States to take action in reply. . . . The determination of all Americans to carry out our full commitment to the people and to the government of South Vietnam will be redoubled by this outrage. Yet our response, for the present, will be limited and fitting. We Americans know, although others appear to forget, the risks of spreading conflict. We still seek no wider war.President Lyndon Johnson, Gulf of Tonkin speech, August 4, 1964.Which of the following best describes the course of action that President Johnson wanted the United States to take when he gave this speech? A. to support South Vietnam with as many United States troops as needed to win B. to support South Vietnam with only United States air power C. to support South Vietnam with United States economic assistance D. to support South Vietnam with as little United States involvement as possible