will give u brainliest

The answer to the questions from 4 through 12 are below:

4. z³ + 5z + 3z² + 1 - 4 - 2z²

= z³ + 5z² + 5z + - 3

5. Perimeter of the square = Addition of all the sides

= (2d - 3) + (3c) + (2d - 3) + (3c)

= 2d - 3 + 3c + 2d - 3 + 3c

= 4d + 6c - 6

6. Perimeter of the triangle = Addition of all the sides

= (4a - 2b) + (9a - 4) + (7a + 3)

= 4a - 2b + 9a - 4 + 7a + 3

= 20a - 2b - 1

7. Perimeter of a square = 4 × side length

= 4 × 10x

= 40x

8. Perimeter of a rectangle = 2(length + width)

= 2{(2x + 7) + (3x + 8y)}

= 2(2x + 7 + 3x + 8y)

= 2(5x + 8y + 7)

= 10x + 16y + 14

Simplify the following

9. 3a + a² + 5(a - 2)

= 3a + a² + 5a - 10

= a² + 8a - 10

10. 8(v + w) + 7(v + 2w)

= 8v + 8w + 7v + 14w

= 15v + 22w

11. 4c² + 6(c + c²) - 2c

= 4c² + 6c + 6c² - 2c

= 10c² + 4c

12. z³ + 5(z + 3) + 4(2 - 2z²)

= z³ + 5z + 15 + 8 - 8z²

= z³ - 8z² + 5z + 23

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5 is the difference between the two numbers 12 and 7.

Given,

In the question;

The difference between 3 times a number and 7 is 5.

Write and solve an equation to determine the number.

Now, According to the question:

Let's assume the unknown number to be x,

so three time the number would be 3x.

The difference between 3 times a number (3x) with 7 is 5, so we can write it as:

3x - 7 = 5

Now we can solve this equation to the find x (the unknown number).

3x = 5 + 7

3x = 12

x = 12/3

x = 4

Therefore 3x= 12

So, 5 is the difference between the two numbers 12 and 7.

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Answer:

E and X

Step-by-step explanation:

look for the 6 then behind it

Answer:

X and E

Step-by-step explanation:

"axes" is the plural of axis. The x-axis is the flat line marked with numbers and arrows at the ends. Its labelled x on the right side.

The y-axis is the up-and-down line marked with numbers and arrows at the ends, labelled y at the top.

The origin is where the two axes cross.

Points J, E, X and P are all on the axes. But X and E are 5 units from the origin (where the lines cross) J and P are 9 units from the origin.

2, 6 and 10 were labelled on the axes, but each tick mark is an evenly spaced amount. So the 5 was unlabelled, but it is understood to be 5. See image.

Answer:

x-int=-40

y-int=15

Step-by-step explanation:

we have points 0,15 and -40,0 on the line.

It is as easy as the y-int being 15 and the x-int being -40!

the y-int will always be= (0,#)

the x-int will always be (#,0)

Answer:

521 mm2

Step-by-step explanation:

Formulas:

area of circle= 3.14 x radius x radius

area of semicircle = 0.5 x 3.14 x radius x radius

diameter of circle= 20mm

radius=0.5x20mm=10mm

area of trapezium= 0.5 x (base+base) x height

Working:

area of semicircle= 0.5 x 3.14 x 10mm x 10mm = 157mm2

area of trapezium = 0.5 x (20mm+32mm) x 14mm = 364mm2

total area of figure= 157mm2 + 364mm2 =521mm2

Based on the information given the variance of their​ weights is 119.9200 kg².

What is variance?

The statistical assessment of the variation in numbers within a data collection is known as variance. In more detail, variance assesses how far apart each number in the collection is from the mean (average) and, consequently, from each other. This symbol is frequently used to represent variation: σ².

Main body:

n=sample size=10

Standard deviation=10.9508 kg

Using this formula

Variance=(Standard deviation)²

Let plug in the formula

Variance=(10.9508 kg)²

Variance= 119.9200 kg²

Hence the variance of their​ weights is 119.9200 kg².

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Solution to the fraction  (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9) = -38

Fractions are expressed in mathematics as a number value that defines a part of a whole or group of objects

To simplify the fraction into a simple form the following steps are followed;

Evaluate (-7 + 3) x 3² + ⅖ x (-1.1 - 3.9)

(-7 + 3) x 9 + ⅖ x (-1.1 - 3.9)

Add the numbers

(-4) x 9 + ⅖ x (-1.1 - 3.9)

Evaluate the exponent

(-4) x 9 + ⅖ x (-5)

Multiply the number

-36 + ⅖ x (-5)

-36 -10/5

Subtract the number from each other

-36 -10/5

=-36-2

Answer = -38

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Answer:

C

Step-by-step explanation:

6/9 simplified is 2/3

Hope this helps

The total change in yards where the team started is 3x

The given parameters in the question are:

Yards per play = unknown

Number of plays = 3 consecutive plays

Represent the yards per play with x

So, we have

Yards per play = x

The total change in yards is the amount of yard per play multiplied by the number of plays

This is represented as

Total change = Yards per play * Number of plays

Substitute the known values in the above equation So, we have the following equation

Total change = x * 3

Evaluate

Total change = 3x

Hence, the total change is 36 yards

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Answer:

[tex]\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]

Step-by-step explanation:

Two cards are drawn randomly from a well-shuffled deck of cards without replacement. Find the probability of getting both face cards in succession.

In a deck of 52 cards, there are three face cards (J, Q, and K) in each of four suits (clubs, diamonds, hearts, and spades). That means there are 12 face cards in total (J♣, Q♣, K♣, J♦, Q♦, K♦, J♥, Q♥, K♥, J♠, Q♠, K♠).

The probability of drawing a face card the first time, then, is 12 out of 52.

There is now one less face card in the deck, as well as one less card in the deck. Therefore, the probability of drawing a face card a second time is 11 out of 51.

The probability, then, of drawing two face cards in succession is:

[tex]\frac{12}{52}\times{\frac{11}{51}}=\frac{132}{2652}=\frac{11}{221}\approx{0.0498}\approx{4.98\%}[/tex]

Dilation entails altering a figure's size.

Because the is larger than, Isaiah's assertion is untrue.

Although dilation is not a hard transformation, the angles of the figures it dilates remain unchanged.

The aforementioned claim suggests that,

The dimensions of and should be equal.

However, it is evident that;

are not equivalent.

In reality

greater than

Therefore, Isaiah's assertion is false.

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The equations that represent the proportional relationships between the variables are as follows:

     Problem                   Variables to use          Equation

1. Tyler swimming         Time / Distance          D = 1.25t

2. Factory production   Total quantity, Q,         Q = 3s + 8p

                                      and Sparkling / Plain

3. Paint mixture            Blue / White Paints  6q = 1.5b + 5w

An equation models a mathematical statement in which two or more expressions (involving numbers, variables, and operands combined) are equated using the equation symbol (=).

Speed = 5 m/4s

= 1.25 m/s (5/4)

Swimming equation: D = 1.25t

Where D = distance and t = time spent.

Given the speed and time, we can find the swimming distance covered by Tyler.

Bottles of sparkling water = 3

Bottles of plain water = 8

Ratio = 3:8

Production equation, Q = 3s + 8p

Where Q = total quantity, s = sparkling water, and p = plain water

Blue paint = 1 ½ quarts

White paint = 5 quarts

Ratio = 1.5:5

Production equation, 6q = 1.5b + 5w

Where 6q = 6 quarts, b = blue paint, and w = white paint

Thus, using the equations, we can use the known variables to find the unknown variables.

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Based on the given equation and the given value of (), the value of 5() from the equation is 490

If

() = 94 + 2 + 2

The equation can be solved by substituting the value of () into 5()

Substituting is the method of inserting the known value of a variable into an equation to solve for the value of the equation.

Then,

(5)()

= 5(94 + 2 + 2)

= 5(98)

= 490

So therefore, the value of 5() is given by 490.

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The number of adult tickets were sold is 130 tickets.

Given,

In the question:

Total tickets were sold for the school play is 390 tickets.

The number of student tickets sold was two times number of adult tickets sold.

To find the how many adult tickets were sold?

Now, According to the question:

Based on the given conditions:

Let the number of adult tickets be x.

Formulate the condition:

x × (1 + 2) = 390

x × 3 = 390

Simplify

x = 390/3

x = 130

Hence, The number of adult tickets were sold is 130 tickets.

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The addition of w, 9 and 4 is (w+13).

According to the question,

We have the following information:

We need to add w, 9 and 4.

We already know that a variable can only be added or subtracted from the terms having the same variables. For example, 8x can only be added to 5x but not 5y.

So, in this case, w is the variable and it can not be added to any other term because the other two are whole numbers.

Now, the whole numbers can be easily added.

So, we have the following expression:

w+9+4

w+13

Hence, the addition of w, 9 and 4 is (w+13).

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The equation of the linear function is y=8x+(-8).

What do you mean by equation?

A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Take the example of 3x + 5 = 15. Equations can be of several sorts, including linear, quadratic, cubic, and others.

According to data in the given question,

We have points (0,-8) and (1,0), thus

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{(0-(-8))}{1-0} \\=8[/tex]

Then

y=8x+b

Points (0,-8) means that when x=0, y=-8 and we use this to find b,

y=8x+b

-8=8(0)+b

-8=0+b

b=-8

So, y=8x+(-8)

Therefore, the equation of the linear function is y=8x+(-8).

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The inequality represented by the graph in slope intercept form is

A graph is a pictorial representation of data and the graph presented represents inequality data

The graph shows a linear function written in the slope intercept form  form as

y = mx + c

where slope, m calculated as

c = intercept

x = input variables

y = output variables

calculation of slope

The points used for the slope is gotten from the graph as (2. 0)  (0, -4)

m = (y₂ - y₁) / (x₂ - x₁)

substituting the values

= ( -4 - 0 ) / ( 0 - 2 )

= -4 / -2

= 2

y intercept, c

this is a point where the graph cuts the y axis

c = -4

The graph contains

this gives the idea to use less than or equal to written with the symbol ≤

hence the equation is written using y = mx + c and substituting the values

y ≤ 2x - 4

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The real​ after-tax interest​ rate is -0.0096%, if the inflation rate rises to 4%

The real interest rate is the interest rate received by an investor, saver, or lender after adjusting for inflation. The Fisher equation, which indicates that the real interest rate is roughly the nominal interest rate minus the inflation rate, can be used to define it more explicitly.

For example, if an investor could lock in a 5% interest rate for the future year and expected a 2% increase in prices, they would receive a 3% real interest rate.

Because different investors forecast different levels of future inflation, the expected real interest rate is not a single number. Because the inflation rate during the life of a loan is unknown at the outset, inflation volatility represents a risk.

Given,

The income tax rate is 50%

After tax rate=Nominal return×(1- tax rate)

=0.06(1-0.5)

=0.03=3%

Inflation rate raises to 4% then,

=(1+ rate interest)/(1+Inflation rate)-1

=(1+0.03)/(1+0.04)-1

=-0.0096%

The real​ after-tax interest​ rate is -0.0096%.

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The proportional equation between y and x^2 is:

y = 3*x^2

We know that y is directly proportional to x^2, then we can write:

y = k*x^2

Where k is the constant of proportionality.

We also know that when x = 10, the value of y is 300, replacing that in the above equation we get:

300 = k*(10)^2

Now we can solve this for k:

300 = k*100

300/100 = k

3 = k

Then the equation is:

y = 3*x^2

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The required change in height of the missile is 16100 feet.

Given that,
A missile was fired from a submarine from 200 feet below sea level. If the missile reached a height of 15900 feet before exploding, the change in the altitude of the missile is to be determined.

Change in defined as when the object is in one state but after a certain period of time, the state of the object changes is called change of the state.

here,
The height attained by the missile above sea level is 15900 feet.
The height attained by the missile below the seal level is 200 feet.
Change in height = 15900- (-200) = 15900 + 200 = 16100.

Thus, the required a change in height of the missile is 16100 feet.

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Using the probability of adults of having tattoo, critical value is 1.76 and margin of error is 0.0353 and a 95% confidence interval for the proportion of all adults that have a tattoo is (0.2347, 0.3053)

In the given question,

In a poll of 489 adults, 132 of then said they have a tattoo.

We have to find critical value and margin of error, and then construct a 95% confidence interval for the proportion of all adults that have a tattoo.

From the question

Total number of adults = 489

The adults that have tattoo = 132

So the proportion in the sample is

p = 132/489

p = 0.269

p ≈ 0.27

Now finding the proportion of adults not having tattoo.

q = 1−p

q = 1−0.27

q = 0.73

Now finding the critical value(z).

The value of z from the standard table for 95% confidence interval.

We can write 95% as 0.95

Z = [tex]z_{\alpha /2}[/tex]

Z = [tex]z_{0.95 /2}[/tex]

Z = [tex]z_{0.475}[/tex]

From the standard table of z

Z = 1.96.

Now finding the margin error.

Margin Error(E) = [tex]Z\times\sqrt{\frac{pq}{n}}[/tex]

As we know that Z = 1.96, p = 0.27, q = 0.73, n = 489

Now putting the value

E = [tex]1.76\times\sqrt{\frac{0.27\times0.73}{489}}[/tex]

Simplifying

E = [tex]1.76\times\sqrt{\frac{0.1971}{489}}[/tex]

E = [tex]1.76\times\sqrt{0.000403}[/tex]

E = 1.76×0.0201

E = 0.0353

Now finding a 95% confidence interval for the proportion of all adults that have a tattoo.

Confidence Interval = p−E< P < p+E

Confidence Interval = 0.27−0.0353< P < 0.27+0.0353

Confidence Interval = 0.2347< P < 0.3053

Hence, critical value is 1.76 and margin of error is 0.0353 and a 95% confidence interval for the proportion of all adults that have a tattoo is (0.2347, 0.3053)

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Answer:

B; 14 cents/1 ounce

Step-by-step explanation:

So you were given the information that there is 140 cents per 10 ounces. Now, we have to get that into a unit rate, which is a number over 1. It would have to be B because the info. was cents/ounces and typically money is over amount.

So you do 140/10

That equals out to 14/1

So it is 14 cents/1 ounce.

Hope this helps!!! :)

The probability that the selections are both boys is 7/10

The given parameters in the question are

Seventh grade

Boys = 7

Girls = 3

Eight grade

Boys = 4

Girls = 4

The probability of selecting a boy is calculated as

P(Boy) = Number of boys/Number of students

So, we  have

Seventh grade

Boys = 7

Girls = 3

P(boy) = 7/10

Eight grade

Boys = 4

Girls = 4

P(boy) = 4/8

The probability that the selections are both boys is

P = P(boy) * P(boy)

So, we have

P = 7/10 * 4/8

Evaluate

P = 7/20

Hence, the probability is 7/20

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how long does it take Peter to clean a room by himself is[tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]
What does "rate" mean mathematically?

A rate is a unique ratio where the two words are expressed in several units.

Let Peter take time to clean 1 room be = t
Let Parker take time to clean 1 room be = t+15
Total Time taken by both to clean to room T= 110
Equation for total time taken to clean 2 room by both
[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{T}[/tex]

[tex]\frac{1}{t} +\frac{1}{t+15} =\frac{2}{110}[/tex]
By taking LCM

[tex]\frac{2t+15}{t^{2}+15} =\frac{1}{55}[/tex]
By cross multiplication in above equation

[tex]110t+825=t^{2} +15t[/tex]
[tex]t^{2}-95t-825=0[/tex]

Hence the answer is   [tex]t = \frac{95+-5\sqrt{493} }{2}[/tex]

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Answer:

-5/4

Step-by-step explanation:

slope

[tex]\frac{y2-y1}{x2-x1}\\\\ \frac{2-(-3)}{-4-0}=\frac{5}{-4}\\ \\slope = \frac{-5}{4}[/tex]