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

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:

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

Answer:

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

Step-by-step explanation:

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:

y=1/7x+11/7

Step-by-step explanation:

I used mathaway

Answer:

Look at the graph below, hope this helped.

Step-by-step explanation:

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:

15% decrease

382.50-450 divided by 450 times 100

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: 123

Step-by-step explanation:

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

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

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:

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

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: 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:

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:

[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

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

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:

You aren't posting pictures

Step-by-step explanation:

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.

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:

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

Step-by-step explanation:

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

Answer:

e

Step-by-step explanation:

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: 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:

14.0

Step-by-step explanation:

14.096 rounded to the nearest tenth

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.