Which of the following best describes the expression 9(x + 7)? (20 brainly points)
A: The sum of constant factors 9 and x + 7
B: The product of constant factors 9 and x + 7
C: The product of a constant factor 9 and a 2-term factor x + 7
D: The sum of a constant factor 9 and a 2-term factor x + 7

Answer:

BELOW

Step-by-step explanation:

EXTERIOR ANGLES of any polygon sum to 360 degrees

  there are 9 of them in this 9 - gon   so each is 40 degrees

   interior angles allows you to label the other angle as 40 °

Sum of INTERIOR angles of n-gon :  (n-2 ) * 180° =  (9-2)180° = 1260°

   so EACH is   1260° / 9 = 140°

    so angle at A plus 40° = 140°     then angle at A = 100°

Answer:

57

Step-by-step explanation:

morning bestie hgcj hcvjhcv jdvzdh

To maintain the original volume of the pond, Talisa needs to increase the radius by a factor of √(30/36), which is approximately 0.9129.

If Talisa hits rock at 30 feet, then the depth of the pond will be limited to 30 feet. Therefore, she needs to modify the radius of the pond to maintain the original volume.

To do this, Talisa can use the formula for the volume of a circular cylinder, which is:

V = πr^2h

where V is the volume of the cylinder, r is the radius, and h is the height (or depth) of the cylinder.

Since Talisa wants to maintain the original volume of the pond, she can set the equation for the new cylinder equal to the equation for the original cylinder, and solve for the new radius, r2:

πr1^2h1 = πr2^2h2

where r1 is the original radius (unknown), h1 is the original height (36 ft), r2 is the new radius (unknown), and h2 is the new height (30 ft).

Simplifying this equation, we can cancel out the π and h1 terms:

r1^2 = r2^2(30/36)

Taking the square root of both sides, we get:

r1 = r2(√(30/36))

Thus, to maintain the original volume of the pond, Talisa needs to increase the radius by a factor of √(30/36), which is approximately 0.9129. In other words, she needs to multiply the original radius by 0.9129 to get the new radius.

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Answer:

B) angle R=angle U  C) angle S=angle V  E) QR=TU  F) QS=TV,

Step-by-step explanation:

Answer:

slope, m

y-intercept

Step-by-step explanation:

When writing an equation in slope-intercept form, there will be need for slope and y- intercept.

When any equation is represented in the y = mx +c form, it is called the slope intercept form of the equation.

Here m is slope and c is constant.

To writing the slope intercept form of the equation,

There will be requirement of slope,

and y intercept, it will be in form of (0, a), here a will be value of y coordinate.

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Answer:

no shortcuts can be used

Answer:

You need to multiply the number of choices in both sets.

Step-by-step explanation:

For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.

Hope this helps!

The closest value to the mean of the distribution represented by the histogram is 3

The mean of a distribution is the average value of the distribution

The given parameter is the histogram in the figure

The given histogram is a skewed histogram, and the skewness of the is right-skewed

When a histgram is right-skewed, then the following representation is true

Mode > Median > Mean

Using the histogram as a guide, we have

Mode = 5

Median = 4

Mean = 2

From the list of given options 3 is the closest to the mean (i.e. 2)

Hence, the closest value to the mean of the distribution is 3

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\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-16}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~16 - (-16)~~)^2 + (~~4 - 11~~)^2} \implies d=\sqrt{(16 +16)^2 + (4 -11)^2} \\\\\\ d=\sqrt{( 32 )^2 + ( -7 )^2} \implies d=\sqrt{ 1024 + 49 } \implies d=\sqrt{ 1073 }\implies d\approx 32.76\)

The length of SR to the nearest hundredth is approximately 13.12 units.

What is Pythagoras theorem?

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

We can use the Pythagorean theorem to find the length of QR, which is the hypotenuse of right triangle PQR:

PQ² + QR² = PR²

Substituting in the given values:

(9+x)²+ QS² = 16²

We know that QS is the altitude from Q to PR, which means it is also the height of triangle PQR. We can use the area of triangle PQR to find the length of QS:

area of PQR = (1/2) * PQ * QS = (1/2) * 9 * QS

area of PQR = (1/2) * QR * QS = (1/2) * 16 * QS

Since the area of PQR is the same, we can set these two equations equal to each other and solve for QS:

(1/2) * 9 * QS = (1/2) * 16 * QS

9QS = 16QS

QS = (16/9) * x

Substituting this value for QS into the equation we set up earlier:

(9+x)²+ [(16/9)*x]²= 16²

Simplifying and solving for x:

81 + 18x + x²+ 256x²/81 = 256

x²+ 18x + 81 + 256x²/81 - 256 = 0

81x² + 1458x + 6561 + 20736x² - 20736(81) = 0

2889x² + 1458x - 127008 = 0

Using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 2889, b = 1458, and c = -127008

x = (-1458 ± sqrt(1458² - 4(2889)(-127008))) / 2(2889)

x = (-1458 ± sqrt(5872034)) / 5778

x ≈ 13.12 or x ≈ -21.89

Since x represents a length, we take the positive value as our answer:

x ≈ 13.12

Therefore, the length of SR to the nearest hundredth is approximately 13.12units.

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The maximum height of the rocket is 50 meters.

The path of a particular fireworks rocket is modeled by the given equation:

\($$h(t) = -5t^2 + 30t + 5$$\)

where h is the height of the rocket in meters and t is the time in seconds. To find the maximum height of the rocket, we need to find the vertex of the parabola. We can do this by using the formula:-

b/2a for the t-coordinate and then substitute the value of t in the equation to find the corresponding height. The general form of a quadratic function is given as

\($$f(x)=ax^2+bx+c$$\)

where a, b, and c are constants; a ≠ 0.

The vertex of the quadratic function is given as

\($$( -\frac{b}{2a},f(-\frac{b}{2a}))$$\)

Therefore, the formula for the t-coordinate of the vertex of the parabola is:

\($$t = -\frac{b}{2a}$$\)

Here, a = -5 and b = 30. Substituting these values in the above formula, we get:

\($$t = -\frac{30}{2(-5)} = 3$$\)

The corresponding height can be found by substituting t = 3 in the equation for h(t):

\($$h(3) = -5(3)^2 + 30(3) + 5 = 50$$.\)

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Answer:

Step-by-step explanation:

B does not represent a possible relationship within a circle.  The circumference of B, based upon the given d = 7 in, is 21.99 in, not 19.5 in.

Answer:

C. 1/8

Step-by-step explanation:

Dimensions of the Original Box:

Length = 40 inches

Width = 20 inches

Height = 8 inches

Volume of original box = L*W*H = 40*20*8 = 6,400 in³

Dimensions of the New Box (½ of the dimensions of the original box):

Length = ½*40 = 20 in

Width = ½*20 = 10 in

Height = ½*8 = 4 in

Volume of original box = L*W*H = 20*10*4 = 800 in³

Constant of proportionality between the volume of the new box and the volume of the original box = \( \frac{800}{6,400} = \frac{1}{8} \)

Answer:I’ll ask my my teacher

Step-by-step explanation:

Answer:

1123

Step-by-step explanation:

32 vfesjv  sfv bs nvsn fv

The volume of remaining solid is 7 in³.

The whole three-dimensional area occupied by a cube is its volume.

A cube is a solid 3-D object with six square faces and equal-length sides.

The cube is one of the five platonic solid shapes and is also referred to as a regular hexahedron.

The cubic units are used to represent the cube's volume.

Imagine performing each cut individually.

A box 2*2*3 is eliminated in the initial cut. Two boxes with dimensions of 2*2*0.5 are removed during the second cut, and the third cut eliminates the same number of boxes on the final two faces.

Therefore, the sum of all cuts is 12 + 4 + 4 = 20.

∴Volume of rest of cube = 3³-20

                                         = 7 in³

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Answer:

Pretty sure you got it right cause that's what I got...maybe were both wrong ‍♀️

when two numbers have the same variable, we can add and subtract just like normal numbers.

12x + 8x = 20x - 3x = 17x

The value of expression after simplify is,

⇒ 17x

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Expression is,

⇒ 12x + 8x - 3x

Now, We can simplify the expression as;

⇒ 12x + 8x - 3x

⇒ 20x - 3x

⇒ 17x

Thus, The value of expression after simplify is,

⇒ 17x

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: The American Water Works Association reports that the per capita water use in a single-family home is 77 gallons per day.

Legacy Ranch is a relatively new housing development.

The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences.

(a) So, the decision rule is,

t is less that -1.314.

(b) Test statistics = (73 - 77) / (7.6 / √28)

    Test statistics = -2.785

(c)  The decision regarding H0 is, Reject H0.

Hence,

a) Decision rule: t less than -1.314

b) Test statistics = -2.785

c) Reject H0

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The gender of customers using an ATM machine is not an independent event because the outcome of one trial does influence or change the outcome of another. The correct option is (b).

The independence of events in probability theory refers to whether the occurrence of one event affects the probability of the occurrence of another event.

In this case, the gender of customers using an ATM machine cannot be considered independent events because gender is not randomly assigned and is correlated with other factors such as income, age, and location.

For example, in some areas, more women may use the ATM machine during certain times of the day than men. Similarly, cultural or social norms can also affect the gender distribution of ATM users.

Moreover, the gender of one customer using the ATM machine can influence or change the probability of another customer of the same or opposite gender using the machine immediately after.

For example, if a female customer takes longer than expected to complete a transaction, this could cause other female customers to wait longer, resulting in a higher probability of male customers using the machine during that time.

Therefore, the correct answer is option (b) Not independent, because the outcome of one trial does influence or change the outcome of another.

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The compound formed between Ag and Se is Ag₂Se.

To determine the formula of the compound, we need to consider the charges of the individual ions. Ag is the symbol for silver, which commonly forms a 1+ cation (Ag⁺). Se is the symbol for selenium, which commonly forms a 2- anion (Se²⁻).

To combine the two ions in a neutral compound, we need to find the ratio that balances their charges. Since Ag has a 1+ charge and Se has a 2- charge, we need two Ag⁺ ions to balance the charge of one Se²⁻ ion.

Therefore, the formula for the compound is Ag₂Se.

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Answer:

-128

Step-by-step explanation:

Given, f(x)=2x

3

−21x

2

+36x−20

∴f

′

(x)=6x

2

−42x+36

When f(x) is a maximum or a minimum, f

′

(x)=0

Hence, 6x

2

−42x+36=0

x

2

−7x+6=0

x

2

−6x−x+6=0

x(x−6)−1(x−6)=0

(x−6)(x−1)=0

x=1,6

Again f

′′

(x)=12x−42

=6(2x−7)

Now, when x=1,f

′′

(x)=−30 ....[negative]

And when x=6,f

′′

(x)=30 ....[positive]

Hence, f(x) is maximum for x=1 and minimum for x=6.

The maximum and minimum values of f(x) are

f(1)=2(1)

3

−21(1)

2

+36(1)−20

=2−21+36−20=−3

f(6)=2(6)

2

−21(6)

2

+36(6)−20

=432−756+216−20=−128

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Answer:

1  11/21

Step-by-step explanation:

Use common denominator of 3 * 7 = 21

2/3 * 7/7 = 14/21

6/7 * 3/3 = 18/21

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

14/21 + 18/21 = 32/21

Reduce

32/21 = 1  11/21

Answer: 1 11/21

Step-by-step explanation:

Data: 2/3+6/7=x

Step one, Find the common denominator

(2/3)x7(for each number)=14/21

(6/7)x3(for each number)=18/21

Reason: To add fractions, you always have to find the common denominator(so you can make the denominator the same for each fraction). The common denominator of 3 and 7 is 21 and since what you do to the bottom has to be done to the top, you multiply 2 by 7 and 6 by 3 to end up with 14/21 and 18/21.

Step two, add

14/21+18/21=32/21=1 11/21

Reason: Since we have our common denominators, we just have to add and, with fractions, you only add the top(numerator) and not the bottom(denominator) you end up with 32/14 but when made into a mixed fraction(by dividing the bottom into the top and leaving the remainder on the top) you get 1 11/21 which can't be simplified.

So since it can't be simplified, it's your answer

I hope this helps!

Answer:

Then the complement of it = 90-x. Given that An angle is equal to 5 times its complement. x = 75. Hence the measure of an angle = 75.

Step-by-step explanation:

Answer:

The slope is 0.5, or 1/2.

Step-by-step explanation:

3x - 6y = 90

-6y = -3x + 90

y = 0.5x + 90

Roman has a certain amount of money. if he spends 15, then he has 14 of the original amount left. Roman had originally 20.

To find out how much money Roman had originally, you can follow these steps:
Step 1: Let the original amount of money be "x".
Step 2: According to the problem, if Roman spends $15, he has 1/4 of the original amount left.

So, after spending 15, he has (1/4)x left.
Step 3: Since he spent $15, we can write the equation as: x - 15 = (1/4)x.
Step 4: To solve for x, first multiply both sides of the equation by 4 to get rid of the fraction:

4(x - 15) = 4(1/4)x => 4x - 60 = x.
Step 5: Subtract "x" from both sides:

4x - x - 60 = 0 => 3x - 60 = 0.
Step 6: Add 60 to both sides:

3x = 60.
Step 7: Divide both sides by 3 to find the value of x:

x = 60 / 3 => x = 20.

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The solutions to the x and y intercepts are;

1) The slope will be positive.

2) The student is incorrect because (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is; x = 2

4) The point at which the graph crosses the y axis is; y = 6

5) x-intercept is x = 4 and the y-intercept is; y = 2

6) The x-intercept is x = 6 and the y-intercept is; y = 2

7) The x-intercept is x = 2 and the y-intercept is; y = 10

1) The formula for the slope of a graph is;

Slope = Change in y value/change in x value

Thus, if both x and y intercepts are negative, then the slope will be positive.

2) The equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The equation can be rewritten as;

y = -¹/₂x + 5

At y =0,

0 = -¹/₂(x) + 5

x = 8

Thus, (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is the x-intercept which is when y = 0. Thus;

2x + 0 = 4

2x = 4

x = 2

4) The point at which the graph crosses the y axis is the y-intercept which is when x = 0. Thus;

3(0) + y = 6

y = 6

5) 2x + 4y = 8

x-intercept; 2x + 4(0) = 8

x = 4

y-intercept; 2(0) + 4y = 8

y = 2

6) x + 3y = 6

x-intercept; x + 3(0) = 6

x = 6

y-intercept; 0 + 3y = 6

y = 2

7) 5x + y = 10

x-intercept; 5x + 0 = 10

x = 2

y-intercept; 5(0) + y = 10

y = 10

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\(\Large\underline{\rm Solution :- }\)

The given inequality to us is ,

\(\implies ( x -3)(x +5) \leq 0 \)

So that ,

\(\implies x \leq 3\)

\(\implies x \leq -5\)

This implies x can have a value of greater than or equal to -5 to less than or equal to 3 . Hence ,

In Set builder Notation :-

\(\implies \underline{\boxed{ x | -5 \leq x \leq 3 }}\)

In interval notation :-

\(\implies \underline{\boxed{ x \in [ -5,3] }}\)

Answer:

that is a lot of pie

Step-by-step explanation: