Graph this function.
f(t) = -1/3x + 8

Replace x with 10.

The exponent is now 0.1(10) = 1

Now you have 5000(1.181)^1

1.181^1 = 1.181

So now 5000 x 1.181 = 5,905

The answer is 5,905

9514 1404 393

Answer:

  14,660.77 ft^3

Step-by-step explanation:

The volume of a hemisphere-topped cylinder is given by the formula ...

  V = πr^2(2/3r +h)

where r is the radius and h is the height of the cylindrical section. Of course, the radius is half the diameter, so this silo has a volume of ...

  V = π(10 ft)^2(20/3 +40 ft) = 14,660.77 ft^3

__

Additional comment

The volume is 14,653.33 ft^3 if you use 3.14 for π.

Answer:14,660,77ft

Step-by-step explanation:

Answer:

[i] Area of Juan's garden:

Soln,

length(l)=16

width(w)=12

area(a)=?

Now,

a=l×w

=16×12

=192

[ii] Area of Matthew's garden:

Soln,

length(l)=18

width(w)=21

area(a)=?

Now,

a=l×w

=18×21

=378

So,the area ofJuan's garden=192

And

the area of Matthew's garden=378

Answer: 942

Step-by-step explanation:

so your d is 300 so your r = 300/2= 150

a=3.14*r*r= 3.14*150*150= 70650

c= 3.14*d= 3.14*300= 942

Answer:

15% decrease

382.50-450 divided by 450 times 100

Answer:

First always the positive is greater than the negative

Then 1/2, 2, 21/2, 2, 11/2 are greater than - 1/2

1/2=0.5

21/2=10.5

11/2=5.5

Then from lowest to greatest

-1/2,1/2,2,11/2,21/2

I hope you understand

Answer:

(a)

Step-by-step explanation:

The base angles theorem states that if 2 sides of a triangle are congruent, that is an isosceles triangle then the angles opposite these sides are equal.

Answer:

Step-by-step explanation:

The Base Angle Theorem states that in an isosceles triangle, the angles opposite the congruent sides are congruent.

Total combinations are found by multiplying the quantities of each part by each other.

3 kinds of meat x 2 types of bread x 3 types of drinks

A) total combinations = 3 x 2 x 3 = 18

B) there are 18 different combinations, ham in rye with tea is 1 combination.

The probability would be 1/18

The area of figure will be;

⇒ 105.56 km²

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.

Given that;

The figure is shown.

Now,

The area of figure is find as;

Total area = (12 × 7) + (π × 4² / 4) + (3 × 3)

               = 84 + 3.14 × 4 + 9

               = 93 + 12.56

               = 105.56 km²

Thus, The area of figure will be;

⇒ 105.56 km²

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Answer: 3/5

Step-by-step explanation:

Probability is the number of favorable outcomes divided by the total number of outcomes. In this case, there are 5+4+6, or 15, possible outcomes, because there is one selection from 15 marbles. Therefore, the probability of choosing a blue marble is 4/15, and the probability of choosing a red marble is 5/15. Add these together to get the probability of choosing a red or blue marble:

(4/15)+(5/15)=9/15

9/15 simplifies to 3/5.

Answer:

Kindly check attached picture for sample space design

45 ways

Step-by-step explanation:

Number of qualified candidates to be chosen = 2

Number of candidates to be interviewed = 10

Combination formula :

nCr = n! / (n-r)! r!

10C2 = 10! ÷ (10 - 2)!2!

10C2 = 10*9 / 2 * 1

10C2 = 90/2

10C2 = 45 different samples

Our sample space will contain 45 different samples

Answer:

You aren't posting pictures

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a apples sold then profit is:

If b bananas sold then profit is:

Total profit is the sum of the profits:

Correct options are D and E ( or 4 and 5)

Answer:

0.1, 4/25, 35%, 36/100, 0.85, 2.6

Step-by-step explanation:

Answer: 123

Step-by-step explanation:

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

Answer:

y=1/7x+11/7

Step-by-step explanation:

I used mathaway

=======================================================

Work Shown:

x% = x/100

65% = 65/100 = 0.65

So 65% in decimal form is 0.65

We use this to find the amount Sam paid for the car

65% of 7200 = 0.65*7200 = 4,680 dollars

--------------

Here's an alternative way to show your work

part/whole = percent/100

x/7200 = 65/100

x/7200 = 0.65

x = 0.65*7200

x = 4680

Ultimately we end up with 0.65*7200 and that's how we lead to the same answer as before. You could cross multiply like so

x/7200 = 65/100

x*100 = 7200*65

100x = 468000

x = 468000/100

x = 4680

So there are many paths to the same answer.

Answer:

e

Step-by-step explanation:

Answer:

BGHjf, it skf skoad 78, then mutli 0867, then you'll get your answer!! 657.

Step-by-step explanation:

Answer:

$2.64

Step-by-step explanation:

0.44 times 6.

Answer:

2.64

Step-by-step explanation:

6*0.44=2.64

i hope it will help you

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

Answer:

less

Step-by-step explanation:

Answer:

3/9 is less that 5/8

Step-by-step explanation:

To answer this question we can simply infer which is greater by using simple knowledge.

We know that 1/9 and 1/8 are both relatively small parts of a whole.

Now we know that 1/8 is greater than 1/9

If we think about it 5/8 is bound to be greater than 3/9 because the parts of a whole when you are dealing with 8ths are greater than when you are dealing with 9ths and since there are more 8ths than 9ths in the comparison as in     (3 < 9) then we should already know that:

5/8 is greater than 3/9

Given:

The given function is

[tex]y=\sec x[/tex]

To find:

The period of given function.

Solution:

General sec function is defined as

[tex]y=A\sec (Bx+C)+D[/tex]

Where, A is amplitude, [tex]\dfrac{2\pi}{B}[/tex] is period, [tex]-\dfrac{C}{B}[/tex] is phase shift and D is vertical shift.

We have,

[tex]y=\sec x[/tex]

Here, B=1. So,

[tex]Period=\dfrac{2\pi}{1}[/tex]

[tex]Period=2\pi[/tex]

Therefore, the period of given function is 2π.

The value of period of function y = sec x is, 2π.

The given function is,

y = sec x

Since, We know that,

General form of equation for sec x is,

y = A sec (Bx + C) + D

Where, A is amplitude, 2π/B is period and D is vertical shift.

Here, function is,

y = sec x

Hence, B = 1,

So, Period = 2π/B

                = 2π/1

                = 2π

Thus, The value of period of function y = sec x is, 2π.

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Answer:

c = √130

Step-by-step explanation:

Using Pythagorean theorem, c² = a² + b².

Where,

a = 9

b = 7

c = hypotenuse = ??

Thus:

c² = 9² + 7²

c² = 130

c = √130

Answer:

In order from top to bottom: 5^2, 125, 50

Step-by-step explanation:

1. (3+2) × 5 = 5 × 5 = 5^2

2. 5^3 = 5 × 5 × 5 = 125

3. 10^2 / 2 = 100/2 = 50

Answer:

10^2/2=50

5^3=125

(3+2)*5=5^2

Step-by-step explanation:

Answer:

14.0

Step-by-step explanation:

14.096 rounded to the nearest tenth

Answer:

a) Due to the higher z-score, Ronald performed better relative to his peers on the test.

b) Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

c) 95% of the population fall between graded of 4.868 and 31.132 on the ACT.

95% of the population fall between graded of 304 and 696 on the SAT.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

(a) Relative to their peers who also took the tests, who performed better on his test? Explain.

We have to find whoever has the higher z-score.

Ronald:

Ronald scores 700 on the math section of the SAT exam. The distribution of SAT scores is approximately normal with a mean of 500 and a standard deviation of 100. So the z-score is found when [tex]X = 700, \mu = 500, \sigma = 100[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{700 - 500}{100}[/tex]

[tex]Z = 2[/tex]

Rubin:

Rubin takes the ACT math exam and scores 31 on the math portion. ACT scores are approximately normally distributed with a mean of 18 and a standard deviation of 6.7. So the z-score is found when [tex]X = 31, \mu = 18, \sigma = 6.7[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 18}{6.7}[/tex]

[tex]Z = 1.94[/tex]

Due to the higher z-score, Ronald performed better relative to his peers on the test.

(b) A certain school will only consider those students who score in the top 1% in the math section. What grades would Ronald and Rubin have to receive on their respective tests to be considered for admission?

They have to be in the 100 - 1 = 99th percentile, that is, they need a z-score with a pvalue of at least 0.99. So we need to find for them X when Z = 2.325.

Ronald:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.325 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = 232.5[/tex]

[tex]X = 732.5[/tex]

Rubin:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.325 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = 15.58[/tex]

[tex]X = 33.58[/tex]

Ronald needed a grade of at least 732.5, and Rubin of at least 33.58.

(c) Between what two grades does 95% of the population fall for the ACT and the SAT exams?

They fall between the 100 - (95/2) = 2.5th percentile and the 100 + (95/2) = 97.5th percentile, that is, they fall between X when Z = -1.96 and X when Z = 1.96.

ACT:

Lower bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.96 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = -1.96*6.7[/tex]

[tex]X = 4.868[/tex]

Upper bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 18}{6.7}[/tex]

[tex]X - 18 = 1.96*6.7[/tex]

[tex]X = 31.132[/tex]

95% of the population fall between graded of 4.868 and 31.132 on the ACT.

SAT:

Lower bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.96 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = -196[/tex]

[tex]X = 304[/tex]

Upper bound:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.96 = \frac{X - 500}{100}[/tex]

[tex]X - 500 = 196[/tex]

[tex]X = 696[/tex]

95% of the population fall between graded of 304 and 696 on the SAT.

Answer:

9.5cm

Step-by-step explanation:

57 divided by 6=9.5

Answer:

9.5

Step-by-step explanation:

Divide 57 by 6 and you will get 9.5