Wanda used 3/4 of a full spool of ribbon for her project. There were 38 inches of ribbon left on the spool when she was done. How many inches of ribbon were on the full spool?

Mark spend 1 hour 10 minutes in reading.

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Mark spent 1 hour 17 minutes less than Sheila

Sheila spent 55 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Sheila spent

= 3 hours or (180 minutes) - 55 minutes

= 2 hours 05 minutes.

Now, Mark spent = 2 hrs 05 minutes - 55 minutes  

                            = 1 hour 10 minutes

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Answer:683

Step-by-step explanation:

Answer:

  0.98

Step-by-step explanation:

You want the decay factor for the decay of 207.19 grams of I-131 to 191.26 grams in 4 days.

The second attachment shows where the decay factor fits in an exponential function. Writing the function as ...

  f(t) = ab^t

we have ...

  f(3) = 207.19 = ab^3

  f(7) = 191.26 = ab^7.

Then the ratio of these numbers is ...

  f(7)/f(3) = (ab^7)/(ab^3) = b^4 = (191.26)/(207.19)

Taking the fourth root, we have the decay factor:

  b = (191.26/207.19)^(1/4) ≈ 0.98

The decay factor for the given data is about 0.98.

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Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

The correct choice should be B.

Tell me if I'm wrong.

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

∴ The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

∴ The vertex = (-4, 18)

Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

In a complete graph, each vertex is connected to all other vertices. Therefore, to find the number of edges in a complete graph, Kn, we need to consider the number of ways of choosing two vertices from the set of n vertices and connecting them.So, the formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2So, the answer to the question is (N2 - 1)/2. Therefore, the correct option is (D).Answer in 120 wordsA complete graph is one in which each pair of distinct vertices is connected by a unique edge. The number of edges in a complete graph is determined by the number of vertices in the graph. To find the number of edges in a complete graph with n vertices, we must first consider the number of ways to choose two vertices from the set of n vertices. After that, we must connect those two vertices.

Each pair of vertices produces an edge in a complete graph, and since the edges are undirected, we must divide by two to avoid double-counting. The formula for the number of edges in a complete graph with n vertices is given by E= (n * (n-1))/2. We can simplify this expression as follows:E = (n2 - n)/2. So, the answer to the question is (N2 - 1)/2.

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Answer:

353,760 feet per hour

Step-by-step explanation:

multiply 5280 by 67.

Answer:

353760

Step-by-step explanation:

Answer:

2 acute 1 obtuse 1 right

Step-by-step explanation:

Answer:

$2.48

Step-by-step explanation:

50 coins in all

16% of 50 is 8. (50 x 0.16 = 8)

That means we have 14 Nickels

34% of 50 is 17. (50 x 0.34 = 17)

Multiplying each number by their value (i.e. 14 x 5 for Nickels)

We get 248. We can assume we don't have 248 dollars, and more likely have $2.48 instead.

Answer:

13.4

27.1

8.8

Step-by-step explanation:

hope that helps

Answer:

9

Step-by-step explanation:

(3)^2((-1)-2)/3(-1)

=9(-3)/-3

=-27/-3

=9

Answer:

\(\huge\boxed{\sf 9}\)

Step-by-step explanation:

\(\displaystyle = \frac{x^2(y-2)}{3y} \\\\Put \ x = 3, \ y = -1\\\\= \frac{(3)^2(-1-2)}{3(-1)}\\\\= \frac{9(-3)}{-3} \\\\= 9 \\\\ \rule[225]{225}{2}\)

Hope this helped!

Answer:

B

Step-by-step explanation:

Answer:

B

STEP BY STEP EXPLANASHOOOON (IK IT'S EXPLANATION BUT WHATEVER)

Sara spilt her sub into two pieces and ate one piece

Cole however split his sub into five pieces and ate only two. So if you draw it out Sarah ate more

Answer:

the discount is 43.35 or the final price $7.65

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 51 × 85/100

Discount = 51 x 0.85

You save = $43.35

Final Price = Original Price - Discount

Final Price = 51 - 43.35

Final Price = $7.65

In scientific notation, a number is written as the base number times ten raised to a power. The base number, known as the significand, is also referred to as the mantissa.

The term mantissa is used for the fractional part of a common logarithm as well.

The mantissa is the fractional part of a logarithm. In the context of scientific notation, the mantissa refers to the base number, which is multiplied by 10 raised to a certain power to represent a number.

In other words, the mantissa is the significant digits of a number, excluding the leading and trailing zeros, expressed as a decimal fraction between 1 and 10. For example, in the number 3.24 x 10^5, the mantissa is 3.24.

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The statements that are true when there exists a constant rate of change between x and y are:

1. The graph of the relationship between x and y is a straight line.
2. The slope of the line represents the constant rate of change between x and y.
3. The value of the slope is the same for any two points on the line.
4. The equation that represents the relationship between x and y can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
5. The value of the y-intercept is the y-coordinate of the point where the line crosses the y-axis.

Let's break down each statement:

1. The graph of the relationship between x and y is a straight line:
When there is a constant rate of change between x and y, the graph will be a straight line. This means that the points representing the relationship between x and y will lie on a straight line when plotted on a graph.

2. The slope of the line represents the constant rate of change between x and y:
The slope of a line is a measure of how steep or flat the line is. In this case, when there is a constant rate of change between x and y, the slope of the line will be the same for any two points on the line. It represents the rate at which y changes for every unit change in x.

3. The value of the slope is the same for any two points on the line:
As mentioned earlier, the slope represents the constant rate of change between x and y. Regardless of which two points we choose on the line, the ratio of the change in y to the change in x will always be the same.

4. The equation that represents the relationship between x and y can be written in the form y = mx + b, where m is the slope and b is the y-intercept:
When there is a constant rate of change between x and y, we can express their relationship using an equation in the form y = mx + b. The slope, represented by the variable m, will be the coefficient of x, and the y-intercept, represented by the variable b, will be the value of y when x is equal to 0.

5. The value of the y-intercept is the y-coordinate of the point where the line crosses the y-axis:
The y-intercept is the point where the line representing the relationship between x and y crosses the y-axis. It represents the value of y when x is equal to 0.

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Answer:

130

Step-by-step explanation:

its basically the same thing

Answer:

David used 120 GB of data in July

Step-by-step explanation:

$30 + $12.00 (0.10 x 120) = $42

If we compare the p value and a significance level given for example \(\alpha = 0.05\) we see that \(p_{v} < \alpha\) that the standard deviation of \(iq\) scores in this population is known to be 15 the actual true mean is significantly different from 100.  

\(p_{v}\) = 2 * p ( \(t_{30}\) < -4.08 ) = 0.00031

X = 89 represent the mean of seventh-grade girls in Midwest school district

s = 15 represent the standard deviation for the sample  

n = 31 sample size  

μ = 100 represent the value that we want to test  

'a' represent the significance level for the hypothesis test.  

't' would represent the statistic (variable of interest)  

\(p_{v}\) represent the p value for the test (variable of interest)

State the null and alternative hypotheses,

We need to conduct a hypothesis in order to determine if the mean is different from 100, the system of hypothesis would be:  

Null hypothesis: μ = 100

Alternative hypothesis: μ ≠ 100

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t = (X-μ) / (\(\frac{s}{\sqrt{n} }\) )                (Equation-1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t = \(\frac{89-100}{\frac{15}{\sqrt{31} } }\)

t = -4.08

Calculate the P-value  

First we need to calculate the degrees of freedom given by:  

\(df = n-1\)

\(df = 31 -1\)

\(df = 30\)

Since is a two tailed test the p value would be:  

\(p_{v}\) = 2 * p ( \(t_{30}\) < -4.08 )

\(p_{v}\) = 0.00031

Therefore,

If we compare the p value and a significance level given for example \(\alpha = 0.05\) we see that \(p_{v} < \alpha\) that the standard deviation of \(iq\) scores in this population is known to be 15 the actual true mean is significantly different from 100.  

\(p_{v}\) = 2 * p ( \(t_{30}\) < -4.08 ) = 0.00031

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Step-by-step explanation:

firstly,

V= πr²h

where, r=3.75 and h=6.21 inches=15.77cm

we have,

V=πr²h

=22/7×3.75×15.77

=185.66cm³

Answer:

45

Step-by-step explanation:

if l=9 , w is 5

then area is 9*5=45

if l=7 , w is 7

then area is 7*7=49

49 is greater than 45

but it is not a rectangle. It is a square.

Therefore the correct answer is 45.

Answer:

1 rational b/c terminating decimal

2 irrational b/c non-terminating decimal

3 rational b/c non-terminating decimal

4 rational b/c it in an integer, which are part of rational numbers

5 rational b/c non-terminating decimal

6 b) 7.625

Step-by-step explanation:

Answer:

A    y - 1 = -4(x + 2)

Step-by-step explanation:

point-slope form: \(y - y_{1} = m(x -x_{1} )\)

y - 1 = -4(x -(-2) )

y - 1 = -4(x + 2)

Answer:

5(1.4)^x

I took the test :)

Step-by-step explanation:

Answer:

5(1.4)^x

Step-by-step-explanation:

I took the Unit Test

Part A: Sample space of randomly selecting 2 lollipops with replacement:

{GG, GC, GL, CG, CC, CL, LG, LC, LL}

Part B: Sample space of randomly selecting 2 lollipops without replacement:

{GC, GL, CG, CL, LG, LC}

The experiment of randomly selecting 2 lollipops without replacement shows dependent events because the probability of drawing the second lollipop depends on what the first lollipop was.

For example, if the first lollipop drawn is grape, then the probability of drawing another grape lollipop is decreased because there is only one left in the bag.

The experiment of randomly selecting 2 lollipops with replacement shows independent events because each lollipop can be chosen without affecting the probability of choosing the other lollipops.

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Answer:  1 1/4

Step-by-step explanation:

the heaviest bunch of grapes weights 1 7/8 pounds

A line plot labeled 0 to 2 with tick marks every one-eighth unit. Above the tick mark at five-eighths is one dark blue dot. Above the tick mark for six-eighths is a column of two light blue dots. Above the tick mark at 1 there is a column of three light blue dots. Above the tick mark at one and four-eighths is a column of two light blue dots. Above the tick mark for one and five-eighths is a column of four light blue dots. Above the tick mark for one and seven-eighths is one light blue dot.

The number of jelly beans that fit in a 2001 Chevy Suburban can be calculated by finding the volume of the car's interior and dividing it by the volume of a single jelly bean.

To find the number of jelly beans that fit in a 2001 Chevy Suburban, we first need to calculate the volume of the car's interior. The volume of a rectangular prism is calculated by multiplying its length, width, and height. In this case, the length of the Suburban is 219.3in, the width is 78.8in, and the height is 75.4in.

Using the formula V = lwh, we can calculate the volume:

V = 219.3in * 78.8in * 75.4in

Next, we need to find the volume of a single jelly bean. Since the question does not provide this information, we will assume a standard jelly bean size.

Once we have the volume of the car and the volume of a single jelly bean, we can divide the car's volume by the jelly bean's volume to find the number of jelly beans that fit.

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