what did you do to find the GCF given the remaining factors?​

Answer:

\(3\left(5+4y\right)+8-2y=10y+23\)

Step-by-step explanation:

Given

As the expression is given by

\(3(5+4y)+8-2y\)

To determine

Simplify the expression

Let us simplify the expression

\(3(5+4y)+8-2y\)

Expand 3(5 + 4y) = 15 + 12y

\(3\left(5+4y\right)+8-2y=15+12y+8-2y\)

grouping like terms

                              \(=12y-2y+15+8\)

                              \(=10y+23\)

Therefore,

\(3\left(5+4y\right)+8-2y=10y+23\)

Scoring in the 60th percentile on her math exam means that the student performed better than 60% of other test takers.

Percentile is a measure that indicates the percentage of data points that are below a particular value in a given dataset. In this case, the student's score is in the 60th percentile, which means she scored better than 60% of the other test takers.

Imagine arranging all the scores of the test takers in ascending order. The 60th percentile represents the score that is greater than 60% of the scores below it and less than 40% of the scores above it. It is a way of understanding how a particular score compares to the rest of the scores in the group.

However, it also means that 40% of the test takers scored higher than her.  If the student scored in the 60th percentile, it indicates that she performed relatively well compared to the majority of the test takers.

Percentiles provide a useful way to interpret individual scores in relation to the entire distribution of scores in a dataset.

To know more about percentile, refer here:

https://brainly.com/question/32266700#

#SPJ11

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

for similar questions on work.

https://brainly.com/question/30257290

#SPJ8

Answer:

The number is 8

Step-by-step explanation:

You subtract 2.5 from 58.5 which would be 56 and divided that by 7 which would give you he number 8.

Answer:

-3.6 degrees

Step-by-step explanation:

Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.

3 * 5.2 = 15.6

Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.

12 - 15.6 = -3.6

Finally, we can see that the temperature is -3.6 degrees

Note: Your question is a little ambiguous and incomplete. I am assuming you are talking about the slope of lines here.

Answer:

the slope of the perpendicular line will be:

\(\frac{-1}{\frac{1}{6}}=-6\)

Step-by-step explanation:

Note: I am assuming you are talking about the slope of lines here.

Given

The slope of line = 1/6

Thus, the slope of the perpendicular line will be:

\(\frac{-1}{\frac{1}{6}}=-6\)

To find the expected value of T, we use the formula E(T) = 1/λ. Plugging in λ=3, we get E(T) = 1/3. Therefore, the expected value of T is 1/3.

Suppose a random variable T is exponential with λ=3. To solve the integral, we first need to find the antiderivative of \(e^{(-3t)}\), which is (-1/3) × \(e^{(-3t)}\). Plugging in the limits of integration, we get (-1/3) × \(e^{(-429)}\) + (-1/3) × \(e^{(-429)}\). Simplifying this expression, we get 0.0029. This value represents the probability that T will be between 1 and 43.

Learn more about integration here:

https://brainly.com/question/29276807

#SPJ11

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

Tessa has enough strong string left to organize the rest of her recycling, as she has 5/12 of the strong string remaining after using 7/12 to tie the newspapers, cardboard, and bag of cans.

To determine whether Tessa has enough strong string to organize her recycling, we need to add up the fractions of the string that she has used:

Adding up the fractions, we get:

\(3/12 + 2/12 + 2/12 = 7/12\)

So Tessa has used 7/12 of the strong string. To find out if she has enough string left to organize the rest of her recycling, we need to subtract 7/12 from 1 (since she started with a whole string).

1 - 7/12 = 5/12

So Tessa has 5/12 of the strong string left. Therefore, she has enough strong string to organize the rest of her recycling.

Learn more about fractions

brainly.com/question/10354322

#SPJ11

Based on the concept of the slope intercept form, the value of r is 66.

Slope intercept form:

The general formula to calculate the slope intercept form equation is written as,

y = mx + c

where

(x, y) represents the point

m represents  the slope

c represents  the y-intercept.

Given,

Here we know the pair of points (12, 10), (−2, r) and the value of slope which is m = -4.

And we need to find the value of r.

We know that the formula for of the slope intercept form is

y = mx + c

So, we have to use the slope and the point (12, 10), to find the intercept of the line,

When we apply the value on the formula, then we get,

=> 10 = -4(12) + c

=> 10 = -48 + c

=> c = 58

Therefore, the slope intercept form equation is written as

=> y = -4x + 58

Now, we have to find the value of r, by apply the point (-2,r) on the equation, then we get,

=> r = -4(-2) + 58

=> r = 8 + 58

=>r = 66

Therefore, the value of r for the given pair of points is 66.

To know more about Slope intercept form here.

brainly.com/question/19824331

#SPJ1

Answer:

The shopkeeper will sell the remaining pencils in $0.3

Step-by-step explanation:

The shopkeeper bought 13 dozen pencils for $9, so each dozen pencils cost:

$9 / 13 = $0.7.

3 dozen pencils broke in transit, so there are:

13 - 3 = 10 dozen pencils remaining.

The shopkeeper wants to make back 1/3 of the whole cost, which is:

$9 / 3 = $3.

To make back $3, the shopkeeper must sell the remaining 10 dozen pencils for:

$3 / 10 = $0.3 per dozen.

So the answer is 0.3.

Learn more about questions on shopkeeper from the given link:

https://brainly.com/question/28392441

Answer:

No they are not equivalent.

Step-by-step explanation:

2(x - 2) + 3

First distribute the 2. It goes to both the x and also to the - 2

= 2x - 4 + 3

Add - 4 + 3

= 2x - 1

This is not equal to 2x - 7

Plan B offers a higher effective annual interest rate than Plan A by 2.9975%. Therefore, Plan B is the better plan by about 2.9975% in the compound interest.

When interest is earned on a loan or investment, it is earned on both the principal and any accumulated interest, which is known as compound interest. In other words, interest is added to the principal, and the resulting sum is then used to determine future interest. Compounding causes an investment or loan to increase more quickly than it would with simple interest, where just the principal is charged interest. Compounding may occur daily, monthly, quarterly, annually, or at any other interval.

To compare the plans of the two accounts we have:

Rate = ( 1 + rate / n)ⁿ - 1

where, n is the compounded period.

For plan A:

Effective annual interest rate = (1 + (0.5%/4))⁴ - 1 ≈ 0.5025%

For Plan B, we have:

Effective annual interest rate = (1 + 3.5%)¹- 1 = 3.5%

Comparing the two we see that Plan B offers higher rates by:

3.5% - 0.5025% ≈ 2.9975%.

Hence, Plan B offers a higher effective annual interest rate than Plan A by 2.9975%. Therefore, Plan B is the better plan by about 2.9975%.

Learn more about compound interest here:

https://brainly.com/question/29335425

#SPJ1

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

learn more about systemic toxicity here: brainly.com/question/28222646

#SPJ11

(a) The set of all nxn singular matrices and (c) the set of all nxn skew symmetric matrices are not subspaces, while (6) the set of all nxn upper triangular matrices is a subspace.

In order for a subset of a vector space to be considered a subspace, it must satisfy three conditions: (1) it must contain the zero vector, (2) it must be closed under vector addition, and (3) it must be closed under scalar multiplication. Let's examine each of the given subsets to see if they satisfy these conditions.
(a) The set of all nxn singular matrices: This subset does contain the zero matrix (since the zero matrix is always singular), and it is closed under scalar multiplication (if A is singular and k is any scalar, then kA is also singular). However, it is not closed under addition: the sum of two singular matrices can be invertible (i.e. not singular), so this subset fails to satisfy condition (2). Therefore, this subset is not a subspace.
(b) The set of all nxn upper triangular matrices: This subset contains the zero matrix (which is upper triangular), and it is closed under both addition and scalar multiplication. To see why it is closed under addition, note that if A and B are upper triangular, then so is A+B (since the sum of two upper triangular matrices is still upper triangular). Similarly, if A is upper triangular and k is any scalar, then kA is also upper triangular. Therefore, this subset satisfies all three conditions and is a subspace.
(c) The set of all nxn skew symmetric matrices: This subset contains the zero matrix (which is skew symmetric), and it is closed under scalar multiplication (if A is skew symmetric and k is any scalar, then kA is also skew symmetric). However, it is not closed under addition: the sum of two skew symmetric matrices need not be skew symmetric, so this subset fails to satisfy condition (2). Therefore, this subset is not a subspace.

To learn more about matrices, refer:-

https://brainly.com/question/30646566

#SPJ11

Answer:

\(d=4\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(-5-(-5))^2+(6-2)^2}\)

\(d=\sqrt{(-5+5)^2+(4)^2}\)

\(d=\sqrt{(0)^2+16}\)

\(d=\sqrt{0+16}\)

\(d=\sqrt{16}\)

\(d=4\)

Answer:

The 1st you show is an expositional decay.

Step-by-step explanation:

If you notice it is a declining power of 2

y = 2**(5-x) which is nonlinear

The 2nd is an arithmetic decline (constant decline) and the 3rd is a geometiric decline (constant ratio).

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

To know more about variable visit:

brainly.com/question/29583350

#SPJ11

There are 8208 different ways that the children can sit.

There are 8 children in total, so we first need to choose one of them to sit in the middle. This can be done in 8 ways.

Once the child in the middle has been chosen, the remaining 7 children can sit in a circle around them. There are (7-1)! = 6! = 720 ways to arrange 7 children in a circle. However, due to the condition that "two seatings are considered identical if the same child is in the middle in both and each child on the outside has the same child on his or her right in both seatings", we need to divide by 7 to account for the fact that there are 7 equivalent circular arrangements.

Therefore, the total number of different ways that the children can sit is:

8 x (6! / 7) = 8 x 720 / 7 = 8208

Learn more about  permutation and circular permutation:https://brainly.com/question/1216161

#SPJ11

Answer:

seventy fourteenths

Step-by-step explanation:

seven = 7

ten fourteenth = 10 fourteenth

one-fourteenth = 1/14, so ten fourteenths = 10/14

7 * 10/14

when multiplying two numbers, multiply the numerators and denominators together separately to get your new numerator and denominator

7 = 7/1 as anything divided by 1 equals itself

7 * 10/14 = 7/1 * 10/14 = (7*10) / (1*14) = 70/14 = seventy fourteenths

Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

#SPJ4

Learn more on

https://brainly.com/question/14391417

F type connector

Learn more about wire here

https://brainly.com/question/15246898

#SPJ4

The equation that represents the function shown on the graph is (d) y = 4x

The graph that completes the question is added as an attachment

On the graph, we have the following ordered pairs

Line starts at (0. 0) and through (2, 8), (4, 16), then end at (5, 20)

These ordered pairs are

(x, y) = (0. 0), (2, 8), (4, 16), (5, 20)

The ordered pair (0, 0) implies that the line passes through the origin

This means that the equation can be represented as

y = Y/X * x

Where

(X, Y) = any of (2, 8), (4, 16), (5, 20)

So, we have

y = 8/2 * x

Evaluate the quotient

y = 4 * x

This gives

y = 4x

Hence, the equation is (d) y = 4x

Read more about linear equation at

https://brainly.com/question/13738662

#SPJ1

Answer: d

Step-by-step explanation:

yw

The coordinates of the image of the point (-7, 5) are (7, -5).

We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.

Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.

X = x*cosθ - y*sinθ

X = (-7)*cos(180°) - (5)*sin(180°)

X = (-7)*(-1) - (5)*(0)

X = 7

Y = x*sinθ + y*cosθ

Y = (-7)*sin(180°) + (5)*cos(180°)

Y = (-7)*(0) + (5)*(-1)

Y = -5

To learn more about image of a point, visit :

https://brainly.com/question/28361327?referrer=searchResults

#SPJ1

The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.

To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.

For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.

For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.

To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:

Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.

Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.

Learn more about probability here:

https://brainly.com/question/31828911

#SPJ11

We have:

3x + y = 9

y = 3x + 6

3x + y = 9 ⇔

⇔ 3x + (3x + 6) = 9 ⇔

⇔ 3x + 3x + 6 = 9 ⇔

⇔ 6x + 6 = 9 ⇔

⇔ 6x = 9 - 6 ⇔

⇔ 6x = 3 ⇔

⇔ x = 3/6 ⇔

⇔ x = 1/2 = 0,5

y = 3x + 6 ⇔

⇔ y = 3 × 0,5 + 6 ⇔

⇔ y = 1,5 + 6 ⇔

⇔ y = 7,5

Answer:

2.9 minutes

Step-by-step explanation:

Given

\(Rate = 12 gallon/minute\)

\(Size = 35\ gallon\)

Required

Determine the time spent

The rate is a ratio of size to time

So, it can be expressed as:

\(Rate = \frac{Size}{Time}\)

Substitute values for Rate and Size

\(12 = \frac{35}{Time}\)

Cross Multiply

\(12 * Time = 35\)

Solve for Time

\(Time = 35/12\)

\(Time = 2.9\) (approximated)

When the radius of the large circle is three times the radius of the small circle, the small circle covers about 11.11% of the area of the large circle.

To find the area of a circle, we use the formula A = πr², where A represents the area and r represents the radius. Since we are interested in the proportion of the large circle covered by the small circle, we need to compare their areas.

The area of the small circle is given by A_small = πr², and the area of the large circle is A_large = πR².

Substituting R = 3r into the equation for the area of the large circle, we get A_large = π(3r)² = 9πr².

Now we can calculate the proportion of the large circle covered by the small circle by comparing their areas. We divide the area of the small circle by the area of the large circle and multiply by 100 to express it as a percentage:

Percentage covered = (A_small / A_large) * 100 = (πr² / 9πr²) * 100 = (1/9) * 100 = 11.11...%

Therefore, approximately 11.11% of the large circle is covered by the small circle.

To know more about circle here

https://brainly.com/question/483402

#SPJ4

Answer:

x < -3

Step-by-step explanation:

-3x > 5 + 4

-3x > 9 /: (-3) *** WHEN DIVIDING BY A NEGATIVE NUMBER THE SIGN OF THE INEQUALITY CHAGES !!!

x < -3

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17