a bull weighs 1,700 pounds. Is it more appropriate to express the bull's weight as 1,700 pounds or 2.72 x 10 to the 4th power onces? explain your reasoning

The largest side of the triangle is 52.

Checking pythagoraus theorem,

Thus, it is not a right angle triangle.

Thus, option (D) is correct.

Caleb would need to invest $1,764.69 to the nearest cent, for the value of the account to reach $1,900 in 5 years with an interest rate of 6% compounded daily.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is different from simple interest, which is calculated only on the initial principal.

To find out how much Caleb needs to invest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment

P = the principal or initial investment

r = the annual interest rate (expressed as a decimal)

n = the number of times per year that interest is compounded

t = the number of years the investment will be held

We know that Caleb wants the future value of the investment to be $1,900 in 5 years and interest is compounded daily with an annual rate of 6%. So we can set up the equation as:

A = P(1 + r/n)^(nt)

1900 = P(1 + 0.06/365)^(365*5)

To solve for P, we can use a calculator to get the result:

P = $1,764.69

Hence, Caleb would need to invest $1,764.69 to the nearest cent, for the value of the account to reach $1,900 in 5 years with an interest rate of 6% compounded daily.

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Answer: Diffusion

Step-by-step explanation:

Present value of Loan payment 1 = \($1000 / (1 + (0.12/365))^{60\)

Present value of Loan payment 2 = \($1200 / (1 + (0.12/365))^{(-30)\)

The single payment required 90 days from now to pay off the two obligations would be the total present value calculated in Step 3.

To calculate the single payment required to pay off the two obligations with a 12% interest rate, we can use the concept of present value. Present value is the current worth of a future payment, taking into account the interest rate and time.

Let's break down the given information:

Loan payment 1: $1000 due 60 days ago

Loan payment 2: $1200 due in 30 days

To find the single payment required 90 days from now, we need to calculate the present value of each payment and then add them together.

Step 1: Calculate the present value of Loan payment 1.

The time period for Loan payment 1 is 60 days ago.

To bring it to the present, we need to calculate the interest accrued for 60 days at a 12% annual interest rate.

Step 2: Calculate the present value of Loan payment 2.

The time period for Loan payment 2 is 30 days in the future.

To bring it to the present, we need to calculate the interest accrued for 30 days at a 12% annual interest rate.

Step 3: Add the present values of Loan payment 1 and Loan payment 2.

Total present value = Present value of Loan payment 1 + Present value of Loan payment 2

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Answer:

20

Step-by-step explanation: -13 to 7 think about that. We have to add 13 to make it 0. Then we add 7. So 13 plus 7 is 20. Enjoy :)

Answer: 14 ==> 3rd option

Step-by-step explanation:

The median is the middle value of a set of ordered numbers. Since this set of numbers from 8 to 20 are already ordered, the median would be the average number between 8 and 20.

(8+20)/2=

28/2=14 ==> 3rd option

Answer:

D

Step-by-step explanation:

5 (x + 6) = 45

Multiply 5 by what's in parenthesis.

5 times x = 5x ** use the + sign ** 5 times 6 = 30

5x + 30 = 45

The equation that is equivalent to  5x + 30 = 45 is 5(x + 6) = 45.

The option that would be equivalent to the value of x in the equation. The first step is to determine the value of x.

5x + 30 = 45

Combine similar terms

5x = 45 - 30

5x = 15

Divide both sides by 5

x = 3

Option A

35x = 45

In order to determine the value of x, divide both sides by 35

x = 45 / 35  = 1.3

Option B

5x = 75

In order to determine the value of x, divide both sides by 5

x = 75/5 = 15

Option C

5(x + 30) = 45

Divide both sides of the equation by 5

x + 30 = 9

Combine similar terms

x = - 30 + 9

x = -21

Option D

5(x + 6) = 45

Divide both sides of the equation by 5

x + 6 = 45 / 5

x + 6 = 9

Combine similar terms

x = 9 - 6

x = 3

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Answer:

rectangle + area of 2 semicircles

=290+78.5=368.5

Step-by-step explanation:

elena made 7 batches.

to get this answer, i did:

5 1/4 / 3/4 = 7 batches of cookies.

Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

The integer in the solution set of 5/6m - 4 < 1/3m + 5 that would make it false is 20

The set is given as

S:{−18, 2, 15, 20}

The inequality expression is given as

five sixths m minus four is less than one third m plus 5

Rewrite the inequality expression properly

So, we have

5/6m - 4 < 1/3m + 5

Subtract 1/3m from both sides of the inequality expression

So, we have

1/2m - 4 < 5

Add 4 to both sides of the inequality expression

So, we have

1/2m < 9

Divide both sides of the inequality expression hy 1/2

So, we have

m < 18

This means that the integers in the solution set are integers that are less than 18

These integers are −18, 2, 15

All other integers would make the inequality false

Hence, the solution is 20

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

our survey found that 56% of college students live on campus, 62% have a campus meal program, and 42% do both. while dining in a campus facility open only to students with meal plans, you meet someone interesting. The percent of people, who either lives or eats on campus is 34 %

In mathematics, sets are collections of discrete things that can be grouped together. A collection of items in a set includes a collection of numbers, days of the week, different kinds of cars, etc.

Let the total number of people be 100.

Let set A be people who live in campus = 56

Let set B be people who participate in meal = 62

Let set be people who do both = 42

According to set theory,

(A∪B) = A+ B - (A∩B)

        = 56 + 62 - 42

      = 76    

Then either lives or eats is given by,

= (A∪B) -  (A∩B)

= 76 - 42

= 34

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The coordinate pair (-4,5) could be the fourth vertex of the square.

There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid.  Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.

For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.

As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.

Thus, coordinate pair (-4,5) would be the fourth vertex of the square.

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The exact volume of the solid obtained by rotating the region Q around the y-axis is V= 24π/5 units.

To find the volume of the solid obtained by rotating the region Q around the y-axis, we can use the formula for the volume of a solid of revolution:

V = ∫[a,b] π(R(x))^2 dx

where a and b are the limits of integration, R(x) is the distance from the y-axis to the curve at x, and dx represents a small element of x.

In this case, since we are rotating around the y-axis, R(x) is simply the x-coordinate of the curve. Therefore, we have:

V = ∫[2,4] π(x^2/4)^2 dx

= π/16 ∫[2,4] x^4 dx

= π/16 [x^5/5]2^4

= π/16 [(4^5/5) - (2^5/5)]

= 24π/5 units

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Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

Complete the multiplication and the equation becomes

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

Answer:

Well, the only thing you should do is to use the formula.

if the bases are: a, b

and the height is=h

Then, this is your formula, S=½(a+b)×h

Step-by-step explanation:

Aight,

100dm=10m

S=10m

now, the formula

10=½(2.1+1.9)×h===> 20=4h==> h=5m

Answer: Stem and leaf plots have one advantage over histograms-- they display the original data, while histograms merely summarize them.

Step-by-step explanation:

​Stem-and-leaf plots contain original data values while histograms do not.

In order to categorise discrete or continuous variables, a stem and leaf plot, also known as a stem plot, is used. Data collection and organisation are done using a stem and leaf plot.

A bar graph is a good analogy for a stem and leaf plot. Because every number in the data is divided into a stem and a leaf, the name stem and leaf was chosen. The number's entirety - all but the final digit—is contained in the stem. There will always be one digit in the number's leaf. A stem and leaf plot's main benefit is the grouping of the data and the display of all the original data.

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The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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(a) P(Z<0.86): The area under the standard normal distribution curve to the left of 0.86 is 0.8051 ².(b) P(Z>-0.63): The area under the standard normal distribution curve to the right of -0.63 is 0.7357 ². (c) P(0.22<Z<1.34): The area under the standard normal distribution curve between 0.22 and 1.34 is 0.3799 ².

(a) P(Z<0.86):

- Draw a standard normal distribution curve.

- Locate 0.86 on the horizontal axis.

- Shade the area under the curve to the left of 0.86.

- Use a standard normal distribution table or calculator to find that this area is equal to 0.8051.

(b) P(Z>-0.63):

- Draw a standard normal distribution curve.

- Locate -0.63 on the horizontal axis.

- Shade the area under the curve to the right of -0.63.

- Use a standard normal distribution table or calculator to find that this area is equal to 0.7357.

(c) P(0.22<Z<1.34):

- Draw a standard normal distribution curve.

- Locate 0.22 and 1.34 on the horizontal axis.

- Shade the area under the curve between these two points.

- Use a standard normal distribution table or calculator to find that this area is equal to 0.3799.

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The circumference of a circle with an area of 9π in² is 6π inches.

A circle a closed 2-dimensional curved shape with no corners or edges.

The area and circumference of a circle is expressed mathematically as;

A = πr² and C = 2πr

Given the data in the question;

First, we determine the radius of the circle.

A = πr²

9π in² = π × r²

r² = 9π in² / π

r² = 9 in²

r = √9in²

r = 3in

Now, we determine the circumference of the circle.

C = 2πr

C = 2 × π × 3in

C = 6in × π

C = 6π in

Therefore, the circumference of the circle is 6π inches.

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Answer:

I believe it would be the first option

Answer:

to make one tortilla, you need 0.75, or 3/4 cup of flour for every 1 cup of water

Step-by-step explanation:

Answer:

-14.8p+25.9

Step-by-step explanation:

got it right edge 2020.

Answer:

13.5

Step-by-step explanation:

Q3 - Q1   is the interquartile range

23- 9.5

The only value that is outside the 99% confidence interval for the population mean is; A: 135 because it is not greater than 136.5.

We are given:

Sample size: \(n =85\)

Mean: \(x' = 146\)

Standard deviation: \(\alpha =34\)

Standard error of sample: \(s = \alpha /\sqrt n = 34/\sqrt 85 = 3.6878\)

Confidence Level \(= 99\)%

Formula for confidence interval is:

\(CI = x'\) ± \(z(s/\sqrt n)\)

where z is critical value at confidence level

At 99%  confidence level,\(z = 2.58\)

Thus:

\(CI = 146\) ± \(2.58(3.6878)\)

Margin of error \(= 9.515\)

\(CI = 146\) ± \(9.515 = 136.485\)

\(CI = (146 - 9.515)\) and \((146 + 9.515)\)

\(CI = 136.485, 155.515\)

The only value that is outside the 99% confidence interval for the population mean is 135 because it is not greater than 136.5.

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The two supplementary angles are 23 and 157 degrees.

Two angles are supplementary when that add up to 180 degrees. In this case, we are given that one of the two angles is 134 degrees more than the other. We can construct the following equation.

x + (x + 134) = 180

x represents the degree measure of the smaller angle. Now, all we need to do is solve the equation for x.

=> 2x + 134 = 180

=> 2x = 180 - 134

=> 2x = 46

=> x = 46/2

=> x = 23

We have the value of the smaller angle, we can easily solve for the larger angle. We are told that it is 134 degrees larger than the other one.

23 + 134 = 157 degree.

Therefore, the two supplementary angles are 23 and 157 degrees.

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