i need help graphing these please and thanks. i dont need to find the domain and range.

Answer: The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:

30% of $1199 = 0.3 x 1199 = $359.70

So, the discounted price is:

$1199 - $359.70 = $839.30

Next, we apply the additional 10% off coupon to this discounted price:

10% of $839.30 = 0.1 x $839.30 = $83.93

The final price after the coupon is applied is:

$839.30 - $83.93 = $755.37

Finally, we calculate the sales tax on this final price:

7% of $755.37 = 0.07 x $755.37 = $52.88

The amount you would pay (including tax) for the item is:

$755.37 + $52.88 = $808.25

Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.

Answer:

The sample size is  \(n = 451 \)

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  \(\^ p = 0.12\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the sample size is mathematically represented as  

    \(n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) \)

=>   \(n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 ) \)

=>   \(n = 451 \)

This question is based on concept of normal distribution.Therefore, 451 individuals must  survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

Given:

The sample size is n=451.

According to question,

The margin of error is E = 0.03

The sample proportion is  \(\bold{\hat{p}}\) =0.12

From the question, the confidence level is 95% , hence the level of significance is,

\(\alpha =(100-95)\%\\\bold{\alpha =5\%=0.05}\)  

Normally, as per the normal distribution table the critical value  of,

\(\dfrac{\alpha }{2}\) is

\(\bold{Z_\frac{\alpha }{2} =1.96}\)

And ,the sample size in mathematically represented as,

\(\begin{aligned}n&=(\frac{Z_\frac{a}{2} }{E})^{2} \times \hat p(1-\hat p)\\n&=(\frac{1.96}{0.03})^2 \times 0.12(1-0.12)\\\bold{n&=451} \end{aligned}\)

Hence, there are 451 individuals must we survey to estimate the proportion who approve of Congress at that point to within 3% at 95% confidence.

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The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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Answer: Tamara can make 24 servings of hot cocoa.

Step-by-step explanation:

3/4 ÷ 1/32= 3/4*32 =3*8= 24

Hopefully, that makes sense and helps you out!

Given the volume of the cone is 1848 cm^3 and the height of the cone is 9 cm.

We have to find the radius of the cone.

We know that the formula of the volume of the cone is given by:

Put h = 9 and pi = 22/7:

Thus, the radius of the cone is 14 cm.

Answer:

x=1,x=-\(\sqrt{3}\),x=\(\sqrt{3}\),x=-2,x=2

Step-by-step explanation:

hope this helps :)

have a nice day !!

**please let me know if this was wrong**

The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.

To solve the inequality 6x - 6 < -30, we can follow these steps:

Step 1: Add 6 to both sides of the inequality to isolate the variable:

6x - 6 + 6 < -30 + 6

6x < -24

Step 2: Divide both sides of the inequality by 6 to solve for x:

(6x)/6 < (-24)/6

x < -4

The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.

To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.

On the number line, mark a point at -4 with a closed circle:

<--------●-----------------

Then, shade the region to the left of -4:

<--------●================

The shaded region represents the solution to the inequality x < -4.

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Answer:

The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States

Step-by-step explanation:

We want to see if the majority of Niagara Falls visitors are from the United States.

Looking at the confidence interval

We have to see if the lower end of the interval is higher than 0.5.

In this question:

The 95% confidence interval to estimate the true proportion of visitors to Niagara Falls that are from the United States was (0.5216, 0.6784).

The lower end of the interval is above 0.5, which means that it provides evidence that a majority of visitors to Niagara Falls are from the United States

If a sample consists of 600 test scores, 516 of them would be at or below the 86th percentile. If a sample consists of 600 test scores, 228 of them would be at or above the 62th percentile.

A percentile is a score that compares a specific score to the scores of the other members of a group. It displays the proportion of other scores that a given score outperformed. For instance, if you have a test score of 75 and are placed in the 85th percentile, it signifies that your score is greater than those of 85% of other test takers.

Given that,

In general, 70 % of the values in a data set lie at or below the 70th percentile.

20 % of the values in a data set lie at or above the 20th percentile.

Generally percentile defines the percentage of a data set that is below or at a value that is being considered.

Hence the percentage of the values of a data set that lies below or at the 16th percentile is  16%

Also  the values of a data set that lies below or at the 24th percentile is  24%

Given a sample of 600 test scores , the number of test scores that will be at or below the 86th percentile is 86% of  600 which is mathematically represented as:

K = \(\frac{86}{100}\) × 600

K = 516 test scores

Given a sample of 600 test scores , the number number of test scores that will be above  the 62 th percentile is (100 - 62 = 38 )% of  600 which is mathematically represented as:

a = \(\frac{38}{100}\) × 600

a = 228 test scores.

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Answer:

Step-by-step explanation:

The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000,  3,983 rounded to the nearest thousand is 4,000,  13,560 rounded is 14,000.

7,000 + 4,000+ 14,000 = 25,000

I gotchu

To solve for x-intercepts, y must be 0.

3x - 2(0) - 16 = 0

3x - 16 = 0

3x = 16

x = 16/3

X intercepts are (\(\frac{16}{3}\),0)

Answer:

The answer is 5.33333333 or 5 1/3

Answer:

\(4^{4}=256\)

Step-by-step explanation:

Rewrite log4256=4 in a different form:

\(4^{4}=256\)

If Triangle SRTs angle R is 59° angle T is 79°  the length of ST to the nearest 10th of a yard is 6.1

Since we have given that

ΔSRT is a triangle with measures :

SR = 7 yd

∠T = 79°

∠R = 59°

We need to find the side ST .

To find the length of ST, we can use the Law of Sines, which states:

sin(T) / SR = sin(R) / ST

sin(79°) / 7 = sin(59°) / ST

0.14 = sin(59°) / ST

ST =  sin(59°)/0.14 ⇒ 0.8572 / 0.14 ≈ 6.1229

Therefore, the length of ST is approximately 6.1 yards to the nearest tenth of a yard

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Answer:

x = 116

x° = 116°

(x - 52)° = 64°

Step-by-step explanation:

this shape is a right angle trapezoid and there are two 90° angles

the sum of all interior angles is 360°

90 + 90 + x + x - 52 = 360

2x - 52 = 180

2x = 232

x = 116

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Answer:

EG = 20

Step-by-step explanation:

given that F is on segment EG , then

EG = EF + FG , that is

5x = 2x + 2x + 4

5x = 4x + 4 (  subtract 4x from both sides )

x = 4

Then

EG = 5x = 5(4) = 20

Answer:

(a) Let X be the number of boxes that do not have any balls. We can calculate the probability that a particular box is empty, which is (1-p)^10, where p is the probability that a ball is put into that box. The expected number of boxes that are empty is then:

E(X) = 5(1-p)^10 (since each box has the same probability of being empty)

Substituting ∑(i = 1 to 5) p = 1, we get p = 1/5. Therefore,

E(X) = 5(1-1/5)^10 = 5(4/5)^10 ≈ 0.328

So, the expected number of boxes that do not have any balls is approximately 0.328.

(b) Let Y be the number of boxes that have exactly one ball. The probability that a particular box has exactly one ball is given by:

P(exactly one ball in a box) = 10p(1-p)^4

where p is the probability that a ball is put into that box. The expected number of boxes that have exactly one ball is then:

E(Y) = 5(10p(1-p)^4)

Substituting p = 1/5, we get:

E(Y) = 5(10/5^5) = 1/25

So, the expected number of boxes that have exactly one ball is 1/25.

Answer:

The correct answer is the first one

Step-by-step explanation:

Given:

h = 22 yd

a (base) = 152 yd^2

Find: v - ?

First, let's write down the formula of the rectangular prism's volume:

\(v = a(base) \times h\)

Since we know both the area of the base and the height, we can easily find the volume:

\(v = 152 \times 22 = 3344 \: {yd}^{3} \)

Answer:

7.5 miles per hour

Step-by-step explanation:

7.5 = 1 mile + 7.5= 1 mile =15= 2 miles

Answer: it is traingle prism

Step-by-step explanation:

The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

There are 177,100 ways.

Step-by-step explanation:

Since there is no regard to order, we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

6 keyboards from a set of 25. So

\(C_{25,6} = \frac{25!}{6!(25-6)!} = 177100\)

There are 177,100 ways.

Answer:

It is to represent the area of the park.

Step-by-step explanation:

The length and width of the park would be inches, miles, or meters to describe the linear aspect of the park.

If the park was, for example, 2 miles long and 3 miles wide, you would say the park is 6 miles squared. This is to describe the square area of the park. Square units could be replaced by squared acres, miles, or meters depending on the size of the park. This is to represent the area of the park.

Option C is correct, the value of y is 8 square root of 2.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We need to find the value of y.
The given triangle is right angle triangle with opposite side of 8 inches.

Hypotenuse is y and adjacent side is x.

Now let us solve for sinB

sin45 =8/y

1/√2=8/y

Apply cross multiplication

y=8√2

8 square root of 2

Hence, option C is correct, the value of y is 8 square root of 2.

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The general equation fo exponential formula is,

Assume t = 0 for year 2019. So for t = 0, t = y = 103126.

Substitute values in the equation to detemine the value of a.

For year 2021, the value of t is 1 and value of y is 103856.

Substitute the values in the formula to determine the value of b.

So exponential equation is,

Here, t is time from year 2019.

Answer:

\(p(x)=-5(x-12)^2+405\)

Step-by-step explanation:

Hi there!

Vertex form: \(f(x)=a(x-h)^2+k\)

\(p(x)=-5x^2+120x-315\)

Factor out -5 from the first two terms

\(p(x)=-5(x^2-24x)-315\)

Complete the square by adding \((\frac{24}{2} )^2\) (the square of half of the x-coefficient)

\(p(x)=-5(x^2-24x+(\frac{24}{2} )^2)-315-(-5)(\frac{24}{2} )^2\)

We're subtracting \((-5)(\frac{24}{2} )^2\) because we need to keep the equation balanced and we can't just add new values.

Complete the square

\(p(x)=-5(x-(\frac{24}{2} ))^2-315-(-5)(\frac{24}{2} )^2\)

Simplify

\(p(x)=-5(x-12)^2-315+720\\p(x)=-5(x-12)^2+405\)

Summary:

I hope this helps!