2.) What is the value of 7b + 6 when b = 4?*
OA) 34
O B) 46
O C) 53
OD) 80

The credit term 3/15, n/45 states that the buyer will receive a 3% discount if the payment is made within 15 days. Otherwise, full payment is expected within 45 days from the invoice date.

This term can be expressed as a formula and calculation as follows:

Discount = 3% of Invoice Total

Payment due within 15 days = Invoice Total - Discount

Payment due within 45 days = Invoice Total

For example, if the invoice total is $500, then the buyer will receive a 3% discount (Discount = 3% x $500 = $15) if the payment is made within 15 days. The payment due within 15 days is then equal to the invoice total minus the discount ($500 -$15 = $485). On the other hand, if the payment is not made within 15 days, the buyer is expected to pay the full invoice total within 45 days ($500).

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The p-value for the test is  0.0062

To determine the p-value for Kara's hypothesis test, we need to calculate the test statistic and then find its corresponding p-value.

Let's start by calculating the sample mean and standard deviation of the given data:

Sample mean x = (46+43+41+48+51+51+52+42+51+54+40+53+46+46+46+39+47)/17 = 46.529

Sample standard deviation (s) = 4.547

We can use these values to calculate the t-statistic for the one-sample t-test:

t = (x - μ) / (s / sqrt(n))

where μ is the hypothesized population mean (50 hours), n is the sample size (17).

t = (46.529 - 50) / (4.547 / sqrt(17)) = -3.15

Using a t-distribution table with 16 degrees of freedom (n-1), we find that the p-value for a two-tailed test with a t-statistic of -3.15 is approximately  0.0062.

Therefore, the p-value for this hypothesis test is  0.0062

Since the p-value is less than the commonly used alpha level of 0.05, we reject the null hypothesis and conclude that there is evidence to suggest that the true mean work week for engineers in start-up companies is less than 50 hours.

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The amount insurance company will pay is $700000.

We are given that

Age of Mr. lewis= 63

Policy value= $700,000

Now,

If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.

Therefore, by algebra the answer will be $700000.

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Answer: $12,697.80

Step-by-step explanation:

To find 15% of $84,652, you want to multiply them together.

0.15×84,652=12,697.80

Now, we know that $12,697.80 is 15% of $84,652.

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Answer: as many miles as 3 inches is

Step-by-step explanation:

To determine the actual distance between two cities when given a scale on a map, we can use the concept of ratios and proportions.

In this case, we are told that 1 inch on the map represents a certain number of miles. Let's say that 1 inch on the map represents x miles.

We can set up the following proportion:

1 inch / x miles = 3 inches / y miles

Using cross-multiplication, we have:

1 inch * y miles = 3 inches * x miles

Simplifying the equation:

y miles = 3 inches * x miles

Now, we can substitute the given value of 3 inches for the distance on the map:

y miles = 3 inches * x miles

To find the actual distance between the cities (y miles), we need to know the value of x, which represents the number of miles represented by 1 inch on the map. Without that information, we cannot calculate the actual distance between the cities.

Answer:

The possible arrangement= 18 ways

Step-by-step explanation:

Six identical coin are tossed.

Coin has only a tail and a head.

In how many possible ways can the arrangement be 3 head and 3 tail.

The possible arrangement= (3! * 3!)/2

The reason for dividing by two because coin has two face.

The possible arrangement= (3! * 3!)/2

The possible arrangement=( 6*6)/2

The possible arrangement= 36/2

The possible arrangement= 18 ways

Answer: 4

This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.

4/5 ÷ 1/5

Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:

4/5 x 5

To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.

You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.

Hope this helps!

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Chicago tour schedule :

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)

Total touring time in Chicago = 4 hours 35 minutes

Dinner time is slated at 5:10 pm

Latest time to start tour :

5:10 pm - 4 hours 35 minutes = 1 :35 pm

Answer:

Step-by-step explanation:

Given

Comparing the coordinates of the corresponding vertices, we see the difference:

It means the ΔABC has been translated 3 units right and 5 units down

Correct answer choices are B and E

Answer:

b,e

Step-by-step explanation:

just did it

Answer:

Lower bound for the length of the edge = 42.5 cm

Step-by-step explanation:

From the picture attached,

FH is the diagonal of square EFGH.

Therefore, length of diagonal FH = \(\sqrt{FG^2+HG^2}\)

(By applying Pythagoras theorem)

In triangle AFH,

AH² = AF² + FH²

       = AF² + \((\sqrt{FG^2+HG^2})^2\)

       = AF² + FG² + HG²

AH² = 3HG²

(11.3)² = 3(HG²)

HG = \(\sqrt{\frac{127.69}{3}}\)

HG = 42.563 cm

For distance correct to the nearest mm, lower bound for the length of the edge = 42.5 cm

And upper bound for the length of the edge = 43.6 cm

The side lengths of a cu be are congruent, so the edge length of the cu be is 65 mm

The length of diagonal A H is given as:

\(\mathbf{AH = 11.3cm}\)

Considering triangle A FH, we have:

\(\mathbf{AH^2 = A\ F^2 + FH^2}\)

So, we have:

\(\mathbf{11.3^2 = A\ F^2 + FH^2}\)

Considering triangle HE F, we have:

\(\mathbf{FH^2 = EF^2 + EH^2}\)

Substitute \(\mathbf{FH^2 = EF^2 + EH^2}\) in \(\mathbf{11.3^2 = A\ F^2 + FH^2}\)

\(\mathbf{11.3^2 = A\ F^2 + EF^2 + EH^2}\)

The side lengths of a cu be are congruent.

This means that: A F = EF = EH

So, we have:

\(\mathbf{11.3^2 = A\ F^2 + A\ F^2 + A\ F^2}\)

Evaluate like terms

\(\mathbf{11.3^2 = 3A\ F^2}\)

Evaluate squares

\(\mathbf{127.69 = 3A\ F^2}\)

Divide both sides by 3

\(\mathbf{42.563= A\ F^2}\)

Take square roots

\(\mathbf{6.52= A\ F}\)

Rewrite as:

\(\mathbf{A\ F = 6.52cm}\)

Convert to m m

\(\mathbf{A\ F = 6.52 \times 10mm}\)

\(\mathbf{A\ F = 65.2\ mm}\)

Approximate

\(\mathbf{A\ F = 65\ mm}\)

Hence, the edge length is 65 mm

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Answer:

-369

Step-by-step explanation:

Replace r with 10.

9(-3(10)-10))

9(-30-11)

9*-30+9*-11

-270+ -99

-369

Hope this helped. :)

Answer:

14. 90%

15. 9%

16. 166%

17. 189%

18. 10%

19. 266%

20. 40%

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

25) -4, -1

Equation: -4x-1

27) 4, 4

Equation: 4x+4

29) 5/2,0

Equation: 5/2x

Step-by-step explanation:

Y=mx+b

Based on the characteristics of the function and the image generated by the graphing tool, we conclude that the first choice represents the function \(y = \sqrt{x} - 4\).

In this question we have a radical function (\(f(x) = \sqrt{x}\)) translated vertically 4 units in the -y direction. The domain of the function is [0, + ∞). A quick and efficient approach consists in graphing the function and comparing with each image to determine the right choice.

We present the graph description in the image attached below and we conclude that the first choice represents the graph of the function.

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Answer:

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

Let the radius be r.

Use circumference formula and find the value of r:

Find the area using the circle area formula:

The matching choice is (B).

Answer:

Step-by-step explanation:

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangle:

Area = 1/6 cm²

Length = 1.5 cm

Width = w

Now,

Area = length x width

Perimeter = 2 (length + width)

So,

1/6 = 1.5 x w

w = 1/(6 x 1.5)

w = 1/9 cm

And,

Perimeter.

= 2 (1.5 + 1/9)

= 2 x (13.5 + 1)/9

= 29/9

= 3.2 cm

Thus,

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

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Answer:

3/8 < 7/16 is the only true answer

Step-by-step explanation:

To subtract 47.96 from 320.041, you can align the decimal points and then subtract each digit from right to left.

First, write the numbers with the decimal points aligned:

320.041

- 47.960

Next, subtract the digits in the ones place, which is 1 minus 0, resulting in 1. Then, subtract the digits in the tenths place, which is 4 minus 6. Since 4 is less than 6, you need to borrow 1 from the digit to the left, making the 2 into a 1 and adding 10 to the 4, giving you 14. So, 14 minus 6 equals 8.

Continue subtracting each digit in the same way:

   320.041

-   47.960

= 272.081

Therefore, 320.041 minus 47.96 is equal to 272.081.

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Answer:

\(area = 2 \times ( \frac{1}{2} \times 1.5 \times 7) + (8 \times 7) \\ = 10.5 + 56 \\ = 66.5 \: sq \: units\)

\( \small{ \star{ \underline{ \blue{becker}}}}\)

Answer:

45.5 u²

Step-by-step explanation:

first we need to find the base of the triangle so we subtract 8-5=3, now since its 2 triangles we divide by 2 and we get 1.5 for each base of the triangles

area for a triangle: A=bh/2

A=(1.5)(7)/2

since its 2 triangles then multiply by 2

A= 10.5 u²

area for a rectangle: A=bh

A=(7)(5)

A= 35 u²

35+10.5 = 45.5 u²

Answer:

Step-by-step explanation:

\(5+\frac{s}{9}\)

Answer: $10.90

Step-by-step explanation:

Skittles-1.44

M&M's-3.744

Pretzels-5.72

Not sure if its a typo, thats if theres 3.12lbs of of M&M's

The answer is theres 312 M&M's is 374.4

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

We could draw the following Venn's diagram:

Therefore,

13 students listened only rock music

6 students listened classical and Jazz music,but not rock.

28 students listened classical or jazz music, but not rock.

41 students listened to music in exactly one of the musical styles.

23 students listened to music in exactly two of the musical styles.

17 students did not listen to any of the musical styles.

Answer:

see below

Step-by-step explanation:

center of circle = (2,-1)

r = 6 -2 = 4

We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius.

so the equation will be:

( x - 2 )^2 + ( y +1 )^2 =16

Answer:

-4

Step-by-step explanation:

-√16

-4

Answer:

-4

Step-by-step explanation: