Simplify 5x+3x+2y+4y halp

Answer:

x = 18

Step-by-step explanation:

Given:

Finding x for which 3b = 5a:

Answer:

x = 18

Step-by-step explanation:

Plug in 4x-7 for b and 2x+3 for a in 3b = 5a

3(4x-7) = 5(2x +3)

Solve for x:

12x-21 = 10x+15

2x = 36

x=18

Answer:

1. \(\sqrt{7}\)

2. The square root of an imperfect square

Step-by-step explanation:

A rational number is any number that can be written as a fraction (with the numerator and denominator being integers). All terminating and repeating decimals are rational.

The square root of an imperfect square is always irrational.

Answer: 67

Step-by-step explanation:

We see a pattern where we multiply the number we added by previously by two.

For example, from 5 to 7, it is 2.

From 7 to 11, we add by 4.

From 11 to 19, we add by 8.

From 19 to 35, we add by 16.

This means the next number would be 32, adding 35 by 32 gives us 67,

Answer: it would take her 15 hours to read 400 pages

Step-by-step explanation: 400 devided by 80 is 5 and 5 x 3 = 15 hours

Answer: 15 hours to read 400 pages

Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.

Let's assume the magnitude of each vector is represented by "a".

According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:

R =\(\sqrt{a^2 + a^2}\)

R = (\(\sqrt{2a^{2} )}\)

R = \(\sqrt{2}\) a

Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

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To determine the measures of the angles of a polygon are necessary the concepts of algebra by using the formula of the sum of interior angles and creating equations and obtaining the measures of unknown angle.

First, it is important to remember the formula for the sum of interior angles of a polygon, which is (n-2) x 180°, where n is the number of sides of the polygon.

Next, you can use algebra concepts to solve for the unknown angle measures. For example, if you know the sum of the interior angles and the measures of some of the angles, you can create an equation and solve for the unknown angle measures.

Here is an example:
If a quadrilateral has interior angles of 70°, 110°, and 120°, you can use the formula (4-2) x 180° = 360° to find the sum of the interior angles. Then, you can create the equation 70° + 110° + 120° + x = 360° and solve for x to find the measure of the unknown angle.

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Answer:

The rate of change is 1/3

Step-by-step explanation:

When looking for the rate of change, aka slope, remember "Height over Right." Basically, how far up divided by how far right between two points, then simplify.

I hope this helps!

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation:

Answer:

The letter has neither reflection nor rotation symmetry.

Step-by-step explanation:

It is asymmetrical because if we divide it vertically, horizontally, or diagonally, it won't be divided into a smaller figure.

The correct statement about the letter Z will be;

''The letter has neither reflection nor rotation symmetry.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The letter is Z.

Now,

Clearly, The mirror image of Z is not same as the  and Letter Z has no line of symmetry.

So, It does not have a reflection symmetry.

And, Letter Z does not have reflection about the vertical mirror.

Thus, The correct statement about the letter Z will be;

''The letter has neither reflection nor rotation symmetry.''

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The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

I am assuming the 8:15 was a typo and was actually supposed to be a 8:14. Anyways, they are equivalent because they all make 4:7 when simplified.

Step-by-step explanation:

4:7 = itself at this point, as they don't have numbers that can simplify each other on both sides, unless you are looking for a decimal answer.

8:14 = 4:7 <- You can divide the 8 and 14 by two. 8 divided by 2 is four, and 14 divided by 2 is 7.

16:28 = 4:7 <- You can divide the 16 and the 28 by four. 16 divided by 4 is 4, and 28 divided by 4 is 7.

20:35 = 4:7 <- You can divide both sides by 5. 20 divided by 5 is 4, and 35 divided by 5 is 7.

a) The divergence of f = \(e^{xy\) i - cosy j + sin z²k is y \(e^{xy\) + sin y + 2z cos z², and the curl is 0.

b) The divergence of f = xi + yj - zk is 1, and the curl is 0.

a) To find the divergence and curl of the vector field f = \(e^{xy\) i - cosy j + sin z²k:

Divergence:

The divergence of a vector field f = P i + Q j + R k is given by the formula:

div(f) = ∇ · f = ∂P/∂x + ∂Q/∂y + ∂R/∂z

Given f = \(e^{xy\) i - cosy j + sin z²k, we can calculate the divergence as follows:

∂P/∂x = ∂/∂x(\(e^{xy\)) = y \(e^{xy\)

∂Q/∂y = ∂/∂y(-cosy) = sin y

∂R/∂z = ∂/∂z(sin z²) = 2z cos z²

Therefore, the divergence of f is:

div(f) = y \(e^{xy\) + sin y + 2z cos z²

Curl:

The curl of a vector field f = P i + Q j + R k is given by the formula:

curl(f) = ∇ × f = ( ∂R/∂y - ∂Q/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂Q/∂x - ∂P/∂y ) k

Using the vector field f = \(e^{xy\) i - cosy j + sin z²k, we can calculate the curl as follows:

∂P/∂y = ∂/∂y(\(e^{xy\)) = x \(e^{xy\)

∂Q/∂z = ∂/∂z(-cosy) = 0

∂R/∂x = ∂/∂x(sin z²) = 0

∂R/∂y = ∂/∂y(sin z²) = 0

∂Q/∂x = ∂/∂x(-cosy) = 0

∂P/∂z = ∂/∂z(\(e^{xy\)) = 0

Therefore, the curl of f is:

curl(f) = (0 - 0) i + (0 - 0) j + (0 - 0) k

curl(f) = 0 i + 0 j + 0 k

curl(f) = 0

b) To find the divergence and curl of the vector field f = xi + yj - zk:

Divergence:

∂P/∂x = ∂/∂x(x) = 1

∂Q/∂y = ∂/∂y(y) = 1

∂R/∂z = ∂/∂z(-z) = -1

Therefore, the divergence of f function is:

div(f) = ∇ · f = 1 + 1 - 1 = 1

Curl:

∂P/∂y = ∂/∂y(x) = 0

∂Q/∂z = ∂/∂z(y) = 0

∂R/∂x = ∂/∂x(-z) = 0

∂R/∂y = ∂/∂y(-z) = 0

∂Q/∂x = ∂/∂x(y) = 0

∂P/∂z = ∂/∂z(x) = 0

Therefore, the curl of f is:

curl(f) = (0 - 0) i + (0 - 0) j + (0 - 0) k

curl(f) = 0 i + 0 j + 0 k

curl(f) = 0

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Answer:

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

35 and 90 are the minimum and maximum values of the data set.

It means all observations are between those two numbers.

Hence the answer is 100%

Approximately 100% of the observations are between 35 and 90 in the given data set.

What is a median?

In statistics, the median is a measure of central tendency that represents the middle value of a set of data when arranged in ascending or descending order. It divides the data into two equal halves, with 50% of the values falling below the median and 50% falling above it.

To find the median, the data set is first arranged in order from smallest to largest (or vice versa). If the data set has an odd number of observations, the median is the middle value. For example, in a set of {1, 3, 5, 7, 9}, the median is 5.

The five-number summary consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. In this case, the minimum value is 35, and the maximum value is 90. Since these values define the range of the data set, all the observations are between these two values.

Therefore, approximately 100% of the observations are between 35 and 90.

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The mouse population at the end of the year is 123 when hirty-seven mice were eaten by coyotes, and 43 were eaten by owls and other predators.

Initially, the population consisted of 100 mice.

40 females had an average of three pups each, so they produced 40 * 3 = 120 pups in total.

10% of these pups died as infants, which is 0.10 * 120 = 12 pups.

Therefore, the number of surviving pups is 120 - 12 = 108.

Ten mice moved into the area, so the total population increased by 10.

Fifteen males left the area to find mates elsewhere, so the total population decreased by 15.

Thirty-seven mice were eaten by coyotes, and 43 were eaten by owls and other predators, resulting in a total of 37 + 43 = 80 mice being lost to predation.

Now, let's calculate the final population:

Initial population: 100

Pups surviving infancy: 108

Mice moving in: 10

Mice moving out: 15

Mice lost to predation: 80

To find the final population, we add the changes to the initial population:

Final population = Initial population + Pups surviving infancy + Mice moving in - Mice moving out - Mice lost to predation

Final population = 100 + 108 + 10 - 15 - 80

Final population = 123

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The measure of angle Z is 47.19°.

Law of sines is defined as that ratio of the length of the sides of a triangle to the sine of the angle opposite to the these sides are equal.

That is, if a, b and c are sides opposite to the angles A, B and C respectively, then,

a / sin A = b / sin B = c / sin C

Given a triangle XYZ.

m ∠Y = 78°, XY = 9, XZ = 12

We have to find the measure of angle Z.

Using the law of sines,

XZ / sin Y = XY / sin Z

12 / sin (78°) = 9 / sin Z

Cross multiplying,

12 × sin Z = 9 × sin (78°)

sin Z = (9 × sin (78°)) / 12

sin Z = 0.7336

Z = sin⁻¹ (0.7336)

Z = 0.8236 radians

  = 47.19°

Hence the measure of Z is 47.19°.

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Answer:

2 is the number because half of 5 is 2.5

Answer: 26%

Step-by-step explanation:

23 + 52 + 34 + 61 + 30 = 200

do 52/200 because theres 52 gumballs and times it by 100

52/200 x 100 = 26% on calculator

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. We are given that the p-value is 0.0187.

The null hypothesis is that the proportion of red cars among Phillies fans is the same as the national proportion, i.e., p = 0.12. The alternative hypothesis is that the proportion of red cars among Phillies fans is greater than the national proportion, i.e., p > 0.12.

We can use a one-sample proportion test to test this hypothesis. The test statistic is:

z = (P - p) /\(\sqrt(p*(1-p)/n)\)

where P is the sample proportion, p is the hypothesized proportion under the null hypothesis, n is the sample size, and sqrt is the square root function.

In this case, p = 0.12, P = 35/210 = 0.1667, and n = 210. Plugging these values into the formula, we get:

z = (0.1667 - 0.12) / \(\sqrt(0.12*(1-0.12)/210)\) = 2.072

The p-value is the probability of observing a test statistic as extreme or more extreme than the observed one, assuming the null hypothesis is true. We are given that the p-value is 0.0187.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is convincing evidence that Phillies fans are more likely to drive red cars than the national proportion of 12%.

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Angle a is labeled as left parenthesis 2y plus 20 right parenthesis degrees, angle b is labeled as left parenthesis 5 x right parenthesis degrees, and angle c is labeled as 40 degrees. So the value of y is 40.

In the given question, we have to find the value of y.

Given that;

Y = an isosceles triangle abc.

Sides a, b and a, c are equal.

Sides a, b and a, c are labeled with single tick marks.

Angle a is labeled as left parenthesis 2y+20 right parenthesis degrees, angle b is labeled as left parenthesis 5xright parenthesis degrees, and angle c is labeled as 40 degrees.

If using A,B,C as variables for the measure of the corresponding interior angles and A is the vertex point Band C are the base angles, triangle isosceles, then:

A=2y+20

B=5x

C=40

Angle B and C are equal

B=C

5x=40

X=8

Both B and C are each is 40 degrees

A+B+C=180

A+40+40=180

A+80=180

A=100

After putting the value of A:

A=2y+20

100=2y+20

2y=80

Y=40

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Answer:

(2x+5)(x+4)

Step-by-step explanation:

After factoring we can find that it equals

(2x+5)(x+4)

Answer:

(2x +5) (x+4)

Step-by-step explanation:

2x*2+13x+20

(2x +   )(x+  )

Factoring 20 into 4 and 5  so we can get 13 in the middle

(2x +5) (x+4)

2*4 +5 = 13 for the middle term

Answer:

x=9, hope I helped :P

The geometric series is 6, -30, 150, -750, 3750, -18750 and the sum of the geometric series is -15624.

A geometric series is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio.

The geometric series that starts with 6, ends with -18,750, and has a common ratio of -5 is:

6, -30, 150, -750, 3750, -18750.

The sum of the geometric series is the sum of all the terms in the series. To find the sum of the series, you can use the formula:

S = a(1 - rⁿ)/(1 - r)

Where:

S is the sum of the series

a is the first term of the series

r is the common ratio

n is the number of terms in the series

In this case, a = 6, r = -5 and n = 6. Thus:

S = 6(1 - (-5)⁶)/(1 - (-5))

S = 6(1 - 15625)/(1 + 5)

S= 6(-15624)/6

S = -15624

Thus, the sum of the geometric series is -15624.

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The 99% confidence interval for the mean score of all students is constructed as (85.497, 96.5026).

Given,

Sample size, n = 30

Sample mean, x = 91

Standard deviation, s = 11.7

The 99% confidence interval for the mean score of all students can be calculated as,

x ± z \(\frac{s}{\sqrt{n} }\)

z value for 99% confidence interval = 2.576

Confidence interval = (91 ± (2.576 × 11.7/√30)

                                 = (91 ± 5.5026)

                                 = (85.497, 96.5026)

Hence the confidence interval is (85.497, 96.5026).

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Answer:

Step-by-step explanation:

Are the outcomes on the two cards independent? Why?

Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card.     No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

This is based on a survey conducted by the American Customer Satisfaction Index (ACSI) in 2020 that surveyed 1,097 passengers who had flown on U.S. airlines in the past 12 months.

A survey is a research method used to collect quantitative and qualitative data from a specific population. Surveys are often used to assess attitudes, opinions, and behaviors of a given group of people. They are typically administered in the form of a questionnaire, which can be administered in person, over the phone, or online. Surveys are often used in market research, political polling, social science research, and other types of research.

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Answer:

Step-by-step explanation:

Hey there!

I think that some of the content in your question is missing so I will be solving for how much yards of fabric is needed in total

Since all of the fractions have common denominators, we can comfortably add them together

3/4+3/4+2/4 is 8/4

8/4 can be simplied to 2

So the total amount of yards of fabric Thom needs in total is 2 yards

Answer:

x=28, y=17

Step-by-step explanation:

x+y=45

x-y=11

x=28, y=17

28+17=45

28-17=11

Answer:

Let the numbers be a and b

Given that  

a+b=45 ....(1)

a−b=11 ....(2)

Adding these two equations, we get

2a=56

⇒a=28

Substituting value of a in equation (1), we get

28+b=45

⇒b=45−28

⇒b=17

We get a=28 and b=17

Answer:

i = 8

Step-by-step explanation:

Answer:

The equation is: 20 + 4.5h = 11 + 5.75h

The total cost of the services will be equal at 7.83 or 8 hours.

Step-by-step explanation:

This equation is correct because it shows that these two scenarios equal the same amount of money when there is a certain amount of hours, or "h."

Here is how we solve the equation;

20 + 4.5h = 11 + 5.75h <-----Here is the original equation.

Service A                                                        Service B

1. 20 - 20 + 4.5h                         =               11 - 20 + 5.75h

2.4.5h - 5.75h =  -1.15h                             -9 + 5.75h/5.75 =

3. -1.15h/-1.15 = h                                              9/-1.15 = 7.83

                  h = 7.83 or 8 hours when rounded to the nearest hour

Hope this helps! :)