write the equation in slope intercept form and graph using a table

X = 5

The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

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The centroid of the region is (3,1).

The centroid of a region is a point that is the average of all the vertices of the region. In other words, it is the point that is the center of mass of the region. To find the centroid of a region, we need to find the x and y coordinates of the vertices of the region and then take the average of these coordinates.

To find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y^2 = 8x, and the line x + y = 6, we need to find the x and y coordinates of the vertices of the region.

The parabola y^2 = 8x and the line x + y = 6 are the equations of the boundaries of the region. We can find the vertices of the region by solving for the points where these two equations intersect.

The parabola y^2 = 8x can be rewritten as y = ±√8x. So the x-coordinate of the vertex of the parabola is (3,3).

The line x + y = 6 can be rewritten as y = -x + 6. So the x-coordinate of the vertex of the line is (0,6) and (6,0).

So the three vertices of the region are (0,0), (3,3), and (6,0).

So the centroid of the region is (3,1).

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Answer:

2362 dollars for all the students

Step-by-step explanation:

my big brain

Answer:

ya you are right okokgudcv

Answer:69°43'

Step-by-step explanation:

Complementary angles add up to 90

Let them complement be y

y+20°17`=90°

Collect like terms

y=90-20°17' 20°17'=1217/60

y=90-1217/60

y=(60x90 -1 x 1217)/60

y=(5400-1217)/60

y=4183/60

y=69°43'

9514 1404 393

Answer:

  $705.78

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  P = $300, r = 0.13, n = 1, t = 7

__

  A = $300.00(1 + 0.13/1)^(1·7)

  A = $300·(1.13^7) ≈ $300·2.35260548

  A = $705.78

There will be $705.78 in the account after 7 years.

Answer:

The algebraic expression is p/9

Step-by-step explanation:

Algebraic expression is a mathematical sentence involving numbers followed by letters. An algebraic is also involved in an equation of the first degree, because the unknown or variable is a letter.

This question asks us to form a sentence for this expression. So the sentence could be:

— Maria has "such" total bullets, and shared it among 9 friends.

So, the representation in algebra is p ÷ 9

Answer:

the answer to your question is 1

Answer: 39

Step-by-step explanation:

30-8=22

22/2=11

11+2=13

13 times 3 =39

The answer for lateral surface area of the Triangular prism is 180 cm²

Any solid object's lateral area can be calculated using the lateral area formula. Any figure's lateral area only includes the non-base faces. Calculating the lateral surface area of various forms, such as the cuboid, cube, cylinder, cone, and sphere, is made easier using lateral area formulas.

The lateral area for a triangular prism

A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA). Due to the two dimensions involved in its calculation, we measure it in square units.

The total of the three regions is the triangular prism's lateral area. Consequently, the triangular prism's lateral area formula is

Triangular prism lateral surface area (LSA) = ah + bh + ch (or) (a + b + c) h.

We are aware that the perimeter of the base is (a + b + c) (triangle). Hence,

Triangular prism's lateral surface area (LSA) is equal to the product of the base's perimeter and the prism's height.

base perimeter × height

Explanation

The Given Image of the solid is Matching to a prism.so we are calculating the lateral surface area of the prism

The dimensions of each base are:

a = 5cm

b = 4 cm

c = 3 cm

The height of the triangular prism = 15cm.

Thus, the lateral area of triangular prism = (a + b + c ) h

= (5 + 4 + 3) 15

= (12) 15

= 180 cm²

Answer: The lateral area of the given triangular prism = 180 cm²

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Answer:

parallelogram

Step-by-step explanation:

Quadrilateral with two pairs of parallel sides of equal length that is not a sqaure = parallelogram

The expected value of the number of upgrades selected is 1.04.

The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.

First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:

1 = f(0) + f(1) + f(2) + f(3)

1 = 0.50 + 0.20 + 0.06 + f(3)

f(3) = 1 - (0.50 + 0.20 + 0.06)

f(3) = 0.24

Now that we know the value of f(3), we can calculate the expected value as follows:

E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)

E(X) = 0 + 0.20 + 0.12 + 0.72

E(X) = 1.04

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The value of C is 108°

Given \(a=33,\ \ b=26, \ \ \angle B=31^0 .\)

We have to find \(\angle C, \ \angle A \ and\ c\)

We can use the cosine formula to find these:

\(cosB=\frac{a^2+c^2-b^2}{2ac}\\cos31^o=\frac{33^2+c^2-26^2}{2(33)(c)}\\0.8572=\frac{413+c^2}{66c}\\56.5752c=413+c^2\\i.e. c^2-56.5752c+413=0\\\Rightarrow c=47.9647, \ 8.6104\\So, \mathbf{c=48 \ or \ c=9}\\Now if c=48:\\cosA=\frac{b^2+c^2-a^2}{2bc}\\=\frac{26^2+48^2-33^2}{2(26)(48)}\\\)

\(=\frac{1891}{2496}\\=0.75761\\\therefore A=cos^{-1}(0.75761)=40.746^0\approx 41^0\\i.e. \mathbf{\angle A= 41^0}\\cosC=\frac{a^2+b^2-c^2}{2ab}\\=\frac{33^2+26^2-48^2}{2(33)(26)}\\=\frac{-539}{1716}\\=-0.3141\\\therefore C=cos^{-1}(-0.3141)=108.306^0\approx 108^0\)

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Answer:

the third selection is corret

Step-by-step explanation:

Ax + by + c = 0, k = - a/b.

so The slope of the first line = \(\frac{4}{3}\),

the slope of the second line = \(\frac{4}{3}\);

So these two lines are parallel and they don't intersect

Answer:

we have only two or three acute angles in a triangle. so ima say at least 1

Step-by-step explanation:

1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx

Integral by substitution

2. integrate 3cos u du

Isolate the coefficient

3 * integrate cos u du

Evaluate the integral

4. 3sin u

Simplify and add the C

= 3sin(5x ^ 5 - 3) + C

Answer

3sin(5x ^ 5 - 3) + C

hope this will help u

please mark me as a brainliest

Answer:

\(3sin(5x^{5} -3) + C\)

Step-by-step explanation:

\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)

a and b are constants

∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)

                         = \(25x^{4} cos(5x^{5} -3)\)

\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)

Rewriting the above by applying algebraic manipulation:

\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)

=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)

= \(3sin(5x^{5} - 3) + C\)

C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.

The two-dimensional shape of a rectangle, where larger model of figure  whose length L of the side in figure is 75cm.

Four straight sides and four right angles make up the two-dimensional shape of a rectangle. It is a type of parallelogram since its opposite sides are parallel and it is a type of quadrilateral because it has four sides. A rectangle's two primary dimensions are length and width, and these sides are perpendicular to one another. A rectangle's perimeter is determined by adding the lengths of all four sides, while its area is determined by multiplying its length by its breadth.

If we see the diagram, two figures are same but large in ratio size;

So we can follow the similarity rule,

⇒ 8/60 = 10/L

⇒ 8L = 600

⇒ L = 600/8

⇒ L = 75cm

Therefore, the length of the side L in Figure B is 75cm.

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Complete Question-

Answer:

|Z| < 2, which means that it would not be unusual for the mean of a sample of 3 to be 115 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

If \(|Z| > 2\), the value of X is considered to be unusual.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that a population is normally distributed with a mean of 100 and a standard deviation of 15.

This means that \(\mu = 100, \sigma = 15\)

Sample of 3

This means that \(n = 3, s = \frac{15}{\sqrt{3}}\)

Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

We have to find the z-score.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{115 - 100}{\frac{15}{\sqrt{3}}}\)

\(Z = 1.73\)

|Z| < 2, which means that it would not be unusual for the mean of a sample of 3 to be 115 or more.

Answer:

- 2x + 24

Step-by-step explanation:

- 3(2x - 8) + 4x ← distribute parenthesis by - 3

= - 6x + 24 + 4x ← collect like terms

= - 2x + 24 or 24 - 2x

Hey there!

-3(2x - 8) + 4x

DISTRIBUTE -3 within the parentheses

= -3(2x) - 3(-8) + 4x

= -6x + 24 + 4x

COMBINE the LIKE TERMS

= (-6x + 4x) + (24)

= -6x + 4x + 24

= -2x + 24

Therefore, your answer should be:

-2x + 24

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:  602 miles

=====================================================

Work Shown:

x = number of extra miles (past the 150 mark)

0.25x = cost for those extra miles

0.25x+180 = total cost

0.25x+180 = 293

0.25x = 293-180

0.25x = 113

x = 113/(0.25)

x = 452

So you drove the original 150 miles, plus an additional 452 miles.

The total is 150+452 = 602 miles

Answer:

i think it is 0 over 3

Step-by-step explanation:

Answer:

10+26+4=40

in total there is 40 animals

because there is in total for 40 animals then that mean 40 animals is 100%

now we see that there are 26 horses we only need to divid ( but remember you have to divid the percent and the number of animals together)

40 ÷ 20 = 2.    2 x 13 = 26

100% ÷ 20 = 5%.  5% x 13 = 65%

the answer for this question:

the percentage of animals that are horses is 65%

Answer:

2/21

Step-by-step explanation:

For the given triangle ABC, the value of angle A = 64°.

For the given ΔABC;

∠A = 4x

∠B = 90

∠C = x + 10

By the sum of angles of triangle property;

∠A + ∠B +∠C = 180

Substitute the values;

4x + 90 + x + 10 = 180

Simplifying the equation;

5x = 180 - 100

5x = 80

x = 16

Put the value of x in angle A.

∠A = 4x

∠A = 4×16

∠A = 64°

Therefore, the value of angle A is found as 64°.

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Answer:

  both are rectangles

Step-by-step explanation:

You want to know what two quadrilaterals each having four right angles have in common.

A quadrilateral with four right angles is called a "rectangle." Each of the figures is a rectangle.

__

Additional comment

There are more general classifications that also apply. The figures are made from line segments connected end-to-end that enclose a space, so they are simple polygons. The adjacent right angles mean the figures have opposite sides parallel, so are parallelograms.

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Answer:

x>4

Step-by-step explanation:

what you would do first is move the 7 to the other side of the sign and do 11-7 which equals 4. Next since x has no number with it and it is positive you would do 4 divided by 1 which means x is greater than 4. Thus your answer is x>4

9514 1404 393

Answer:

  x > 4

Step-by-step explanation:

Step 1. Locate the variable.

  It is on the left side only.

Step 2. Identify any other terms on the same side of the equation as the variable.

 +7 is a term there

Step 3. Add the opposite of that term to both sides of the inequality. (This is the "work." The previous two steps are observation: looking to see what you are working with. You should always start by doing that.)

  x +7 -7 > 11 -7

  x > 4 . . . . . . . . . . simplify (collect terms)

The solution is x > 4.

_____

Additional comment

This is a "one-step" inequality, because all we had to do was add -7. If there is a coefficient on the variable, it is a 2-step inequality. If there are variables on both sides of the comparison symbol, then more steps may be required.

Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

The meaning of the absolute value in this problem is given as follows:

The temperature decreased 1.2 degrees.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The number for this problem is -1.2, hence:

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Answer:

oof I also have the same question, that makes us 2