What is the shape of the graph of the function?
h(t) = 0.32 - 0.5t

What Is The Shape Of The Graph Of The Function?h(t) = 0.32 - 0.5t

Answers

Answer 1

Its pretty obvious since the other answer has 1 star, but its B. I got it right on khan academy:)

Answer 2

The correct statement is option A)

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: The graph of the function h(t)=0.32-[tex]0.5^t[/tex]

which can be re written as h(t)=  [tex]\frac{8}{25}[/tex] - [tex]\frac{1}{2} ^t[/tex]

Thus clearly as the value of t increases or as we move from negative to positive values the graph of the function tends towards zero and is negative for negative values of t.

For instance, at t= -4 we have

8/25 - 16=15.68

and at t=4 we have

8/25 - 1/16 =0.2575

And it intercepts the x-axis at (1.644,0)

Clearly h(t) is smaller for negative values of t and higher for higher values of t and thus has a upward curvature when we input the values from left to right.

Hence, The curve should slowly bend towards x-axis and option A is the correct answer because the graph is higher values for higher values of t.

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What Is The Shape Of The Graph Of The Function?h(t) = 0.32 - 0.5t

Related Questions

please help, 20 points

Answers

Answer:

25x

Step-by-step explanation:

Perimeter is all sides added up

Order the steps to solve the equation
log(x2 - 15) = log(2x) form 1 to 5.
x² - 2x - 15=0
Potential solutions are -3 and 5
IIIII
x² - 15 = 2x
x - 5 = 0 or x + 3 = 0
(x - 5)(x + 3) = 0

Answers

Answer:

Attention for the conditions:

[tex]x^{2} -15>0\\2x>0\\so\\x>0[/tex]

Step-by-step explanation:

we have

[tex]log(x^{2}-15)= log(2x)\\\\x^{2} -15 = 2x\\\\x^{2} -5x+ 3x-15=0\\ (x^{2}-5x)+(3x-15)=0\\ x(x-5)+3(x-5)=0\\(x-5)(x+3)=0\\x-5=0, x=5 \\\\x+3=0, x= -3[/tex]

So the solutions are 5 because x>0

PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent

Answers

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!

Please help question is in image

Answers

Answer:

The equation log x = 100 is another way of writing 10x = 100.

Step-by-step explanation:

This makes it possible to take away logarithms from an equation. If the equation contains more than one logarithm, they must have the same base for this to work.

could someone show me how to multiply these

Answers

Answer:

A.2304

B.5625

C.6776

Step-by-step explanation:

The easiest way to show you is by using calculator. If you can't, try  using Khan Academy if you want.

Simplify the expression -1/2 (-5/6 + 1/3)

A. -5/12 + 1/3

B. 5/12 - 1/6

C. -5/12 + 1/6

D. 5/12 + 1/3

Answers

Answer:

5/12 - 1/6

Step-by-step explanation:

-1/2( -5/6+1/3)

Distribute

-1/2*-5/6  -1/2*1/3

5/12 - 1/6

Determine the ratio of the directed line segment AB when partitioned by point P.

Answers

Answer:

Step-by-step explanation:

A sporting goods company sells a tent with the dimensions shown. The company wants to introduce a new, larger tent that is geometrically similar to the original tent but with a height of 6 feet. How will the volume of the new tent compare with the volume of the original tent?

Answers

Answer:

The volume of the new tent will be 3/2 times the volume of the original

Step-by-step explanation:

The original tent is a triangular prism, which missing dimensions of the tent are:

base (b): 6 ftheight (h): 4 ftlength (l): 7 ft

Volume of the original tent:

V = 1/2*b*h*l

The only difference between the new and the original tent are their heights. Let's call h' = 6 ft to the height of the new tent.

Volume of the new tent:

V' = 1/2*b*h'*l

Dividing V' by V:

V'/V = (1/2*b*h'*l)/(1/2*b*h*l)

V'/V =h'/h

Replacing with data:

V'/V =6/4

V' = 3/2*V

Solve for h.
A=1/2b(h)

a. A.) 2a - b = h
b. B.) -1/2a - b = h
c. C.) a - b / 2 = h
d. D.) 2a / b = h

Answers

Answer:

b. B.) -1/2a - b = h

Step-by-step explanation:

combine 1/2b and h

OUT OF 20 ATTEMPTS A BASKETBALL
PLAYER SCORED 8 TIMES. WHAT
PERCENT OF HIS CHANCES DID HE
SCORE2
C.32%

Answers

40 percent

*how to solve*

First write 8 out of 20 as a fraction:
8/20

Then multiply both sides by 5 so that the denominator is 100:
40/100

40/100 = 40 percent

In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?
A) 156
B)204
C)238
D)282

Answers

Step-by-step explanation:

In the circle below DAB and DCB are right angles and BDC=29. The figure is not drawn to scale. What is CAD?

A) 156  this is most likely correct

B)204  This one may be correct

C)238  X

D)282  X

hope

Based on the calculations, the measure of angle CAD is equal to: C. 238°.

What is a right angle?

A right angle can be defined as a type of angle that is formed by the intersection of two (2) straight lines at 90 degrees. Thus, a right angle has a measure of 90 degrees.

How to calculate angle CAD?

Angle DBC = 90 - Angle BDC

Angle DBC = 90 - 29

Angle DBC = 61°.

Angle DC = 2 × (Angle DBC)

Angle DC = 2 × 61

Angle DC = 122°.

Now, we can determine the measure of angle CAD:

Angle CAD = 360 - Angle DC

Angle CAD = 360 - 122

Angle CAD = 238°.

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Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?

Answers

Answer:

25 minutes

Step-by-step explanation:

If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.

Answer:

he took 25 min

Step-by-step explanation:

40-15 =25

Examine the ratios to find the one that is not equivalent to the others.


StartFraction 2 Over 5 EndFraction = StartFraction 6 Over 10 EndFraction = StartFraction 8 Over 20 EndFraction = StartFraction 12 Over 30 EndFraction


Which ratio is different from the other three?

8 Over 20

12 Over 30

6 Over 10

14 Over 35

Answers

Answer:

8 over 20

Step-by-step explanation:

i guessed

Answer:

6 Over 10

Step-by-step explanation:

I did the math and got 100% on my Unit Test.

write an equation to represent the following:
five less than 1/3 a number, n. is 3



Four more than twice a number, x, is greater than the sum of three and negative seven.

Answers

1/3n-5=3 for the first one

Answer:

Five less than 1/3 a number n is 3.

[tex]\frac{1}{3}n-5=3[/tex]

Four more than twice a number x (2x+4) is greater than (>) the sum of three and a negative seven (3-7)

2x+4>3+(-7)

2x+4>3-7

What is the greatest common factor for each group?

Answers

Answer:

Left group: [tex]2x^{5\\}[/tex]     Right group: 3

Step-by-step explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2[tex]x^{6\\}[/tex] + 14[tex]x^{5\\} \\[/tex]  =  2[tex]x^{5\\}[/tex].x + 2[tex]x^{5}[/tex].7 = 2[tex]x^{5\\}[/tex] . (x + 7)

Explanation: From the first term we can take 2[tex]x^{5\\}[/tex] and an x is the rest. From the second term we take 2[tex]x^{5\\}[/tex] either, but here the rest is 14. That's the reason the common factor is 2[tex]x^{5\\}[/tex].

If you need 4 tables spoons of golden syrup to make 10 cupcakes, how many tables spoons of golden syrup will you need to make 4 cupcakes.​

Answers

Answer:

1.6 tablespoons

Step-by-step explanation:

Let’s make a proportion

syrup/cupcakes=syrup/cupcakes

4 tablespoons are needed for 10 cupcakes and x tablespoons are needed for 4 cupcakes.

4/10=x/4

Now we have to solve for x. x is being divided by 4. To reverse this, multiply both sides by 4, because multiplication is the opposite of division.

4*4/10=x/4*4

The 4s on the right will cancel, so we are left with:

4/4*10=x

1.6=x

So, 1.6 tablespoons are needed for 4 cupcakes.

At Memorial Hospital, 9 of the 12 babies born on Tuesday were boys.

In simplest form, what fractions of the babies born on Tuesday were boys?

Answers

Answer:

3/4

Step-by-step explanation:

Answer:

I believe it is 3/4

Step-by-step explanation:

Simplest form right?

9/3=3

12/3=4

Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2

Answers

the answer is C. because you add all of her games together that she has, but then she wants to sell half of them.

The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Alina has been collecting video games for a year. The table below shows how many games she has received over the year.

                          Amount of video games

Birthday                             4

Holidays                            8

School trades                    6

Then the total number of the video games will be

⇒ 4 + 8 + 6

At the end of the year, she went to a store and sold half of her video games.

⇒ (4 + 8 + 6) / 2

⇒ (4 + 8 + 6) : 2

Then the expression C is correct.

More about the Algebra link is given below.

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A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

Amelia has a savings account that has an annual yield of 5.2%. Find the balance of the account after each of the first five years if
her initial balance is $2000.​

Answers

Answer:

Balance of the account after 5 year = $2,577 (Approx)

Step-by-step explanation:

Given:

Initial deposit = $2000

Annual yield (r) = 5.2% = 5.2 / 100 = 0.052

Number of year (n) = 5 year

Find:

Balance of the account after 5 year = ?

Computation:

[tex]Amount = Initial\ deposit(1+r)^n\\\\Amount = 2,000(1+0.052)^5\\\\Amount = 2,000(1.052)^5\\\\Amount = 2,000(1.28848302)\\\\Amount = 2,576.96604[/tex]

Balance of the account after 5 year = $2,577 (Approx)

Pleas choose correct answer

Answers

Answer:

b

Step-by-step explanation:

Which list shows the numbers in descending order?
A. -2.5, -2.25, 2.75
B. -2.25, -2.5, 2.75|
C. -2.5, 2.5, -2.75]
D. 2.75,-2.5), -2.25

Answers

Answer is D 2.75,-2.5,-2.25

Answer:

Step-by-step explanation:

find the area of a trapezoid​

Answers

Answer:

40 sqrt 3

Step-by-step explanation:

To find the other side of the triangle:

The triangle is a 30 60 90 right triangle

So...

The other side of the triangle is 4

Area of the trapezoid:

Area of the rectangle+ Area of the triangle:

6* 4root 3+ 4 root3* 4

Answer: 40 sqrt 3

Answer:

44.3

Step-by-step explanation:

1. try to find A

10-(4 radical 3 squared plus b squared equal 64)=A

The equation in parentheses is the pythagorean theorem to find "b" of the triangle

A is 2 radical 13

The base is 10

The height is 4 radical 3

Use the formula and you get the answer.

What is the length of the hypotenuse of a triangle with the points (0,k), (0,0) and (2k, 0)?

Answers

the answer is 2 ! :)

is (3, 2) a solution of -8x-2y<6?
Choose 1 answer:

Answers

Answer:

Yes

Step-by-step explanation:

-8x-2y<6 (I prefer to convert this into standard form y=mx+b)

-8x+8x-2y<8x+6

-2y/-2>8x+6/-2

y > -4x -3

2 > -4(3) - 3

2 > -12 - 3

2 > -15 True or Yes

05.01 MC)
Determine the slope of the line 5x − 3y − 12 = 0. (5 points)

Question 1 options:

1)

negative five thirds

2)

negative three fifths

3)

three fifths

4)

five thirds

Answers

Answer:

slope = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x - 3y - 12 = 0 ( subtract 5x - 12 from both sides )

- 3y = - 5x + 12 ( divide all terms by - 3 )

y = [tex]\frac{5}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex]

Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)

Answers

I scanned for a pair of x coordinates that match and a pair of y coordinates that match.  That would be a right triangle whose sides are parallel to the axes.    It's possible our right triangle is more complicated, but let's start here.

Nope, it doesn't look like our right triangle is oriented to the axes.  Let's do the Pythagorean Theorem.

1) A(-1, -3), B(4, -3), C(2, -1)

AB² = (4 - -1)² + (-3 - -3)² = 25

AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13

BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8

25 ≠ 13 + 8, not a right triangle

2) A(-2, 2), B(1, -4), C(4, 2)

AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45

AC²= (4 - -2)² + (2 - 2)² = 36

BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45

not a right triangle, but isosceles

3) A(-1, 1), B(3, 5), C(4, -4)

AB² = 4² + 4² = 32

AC²= 5² + 5² = 50

BC²= 1² + 9² = 82

BC² = AC² + AB²,  THIS IS A RIGHT TRIANGLE

4) A(-1, 3), B(-4, -3), C(-4, 1)

AB² = 3² + 6² = 45

AC²= 3² + 2² = 13

BC²= 0² + 4² = 16

not a right triangle

Answer: 3) A(-1, 1), B(3, 5), C(4, -4)

Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
additional 3.1 miles on Saturday. How many miles did she walk last week? *
Your answer
Send me a copy of my responses.
Submit​

Answers

Answer:

1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked

find the area of a triangle​

Answers

Answer:

A = 15 yd^2

Step-by-step explanation:

The area of a triangle

A = 1/2 bh where b is the base length and h is the height

A =1/2 (10) * 3

A = 15 yd^2

Answer:

15 yd squared

Step-by-step explanation:

Multiply the base by the height and divide by 2. So 10x3 is 30 and 30 divided by 2 is 15.

Which category of two-dimensional shapes apply to all three of these shapes?



quadrilateral

square

rhombus

parallelogram

Answers

Answer:

quadrilateral

Step-by-step explanation:

bc they all have 4 sides...... some one correct me if I am wrong ......bit not in a rude way

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