What is the value of f(-6) for the function f(x) = (1/2)x - 7

Answer:

Step-by-step explanation:

Similar triangles have the same shape but different sizes.

A is incorrect. We don't know the length of the sides, or if it is equilateral so we can't say that fg/lm=fh/ln

B is correct. FH and LN may be different sizes but they are similar

C is correct. Since the triangles are similar the angles are similar.

D is incorrect. The triangle is the same shape, not neccesarily the same size

E is correct. See C for explanation.

The domain of the function consists of all real numbers greater than 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.

Next, we would determine the function which models the amount of gas as follows:

Function, f(x) = rate × x

Function, f(x) = 2.25 × x

Function, f(x) = 2.25x

Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:

Domain = [0, ∞]

In conclusion, the domain is equal to all real numbers that are greater than zero (0).

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Answer:

There is no picture

Step-by-step explanation:

Wwe can reject the null hypothesis and deduce that there is sufficient empirical evidence to validate the presumption that seatbelts are competent for mitigating fatalities.

Null Hypothesis: There is no discernible distinction between the proportion of fatalities among occupants wearing seat belts and those without.

Alternative Hypothesis: The portion of fatalities experienced by those in vehicles donning seatbelts will be demonstrably lower in comparison to individuals not utilizing them.

The z-value was computed, finding that (0.0113 - 0.0024) / √(0.0047 * (1 - 0.0047) * (1/2915 + 1/7848)) = 12.43.

For a two-tailed test at a 0.05 significance level with 2915 plus 7848 less 2 = 10761 degrees of freedom, the critical value range would be ±1.96. With the calculated z-value of 12.43 surpassing the critical threshold, we can reject the null hypothesis.

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Answer:

1/4 of the dozen is broken

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are

____________________

#IndonesianPride - kexcvi

\(\boxed{\bold{x = 2, 3}}\)

Stepwise Solving:

\(\rightarrow \sf x^2-5x + 6 = 0\)

\(\sf use \ the \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0\)

Identify the coefficients:

Solve for x:

\(\dashrightarrow \ \sf x=\dfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4 \ x \ 1 \ x \ 6}}{2 \ x \ 1}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{\left25-24}}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm \sqrt{1}}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right\pm1}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{\left5\right+ 1}{2} \ , \dfrac{\left5\right- 1}{2}\)

\(\dashrightarrow \ \sf x=\dfrac{6}{2} \ , \ \dfrac{4}{2}\)

\(\dashrightarrow \ \sf x= 3, \ 2\)

The likelihood that he or she has a pet given that a student does not have a sibling is 60%. Therefore, the correct option is option D.

Let A denote the event that a student does not have a sibling.

Let B denote the event that a student has a pet.

Then A∩B will denote the event that the student does not have a sibling but he has a pet.

Let P denote the probability of an event in this question.

Then, we have to find the conditional probability of event B which means the likelihood of event B occurring based on the occurrence of event A.

P(B|A)

We know that:

\(P(B|A) = \frac{P(A\cap B)}{P(A)}\)

Also from the table, we have:

P(A)=0.25

and P(A∩B)=0.15

Hence,

\(P(B|A) = \frac{0.15}{0.25}\)

\(P(B|A) = \frac{3}{5}\)

\(P(B|A) = 0.6\)

which in percentage is:

0.6 * 100 = 60 %

Therefore, the likelihood that he or she has a pet too is 60% and the correct option is option D.

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The value of x, considering the consecutive interior angles in this problem, is given as follows:

x = 30.

We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.

Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:

3x - 8 + 4x - 22 = 180

7x - 30 = 180

7x = 210

x = 210/7

x = 30.

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Answer:

P(Red) = 26/52, P(Black) = 26/51

Step-by-step explanation:

There are 26 red cards and 26 black cards in a standard deck of 52 cards.

This means the probability of picking a red card from the deck is 26/52.

Now, since we are taking out the red card after drawing from the deck, we only have 51 cards. Therefore, the probability of picking a black card from the deck is 26/51.

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

-4 + 12i

Step-by-step explanation:

(-8 + 4i) (1 − i)

Distribute using FOIL.

(-8)(1) + (-8)(-i) + (4i)(1) + (4i)(-i)

-8 + 8i + 4i − 4i²

-8 + 12i + 4

-4 + 12i

The product of two complex numbers (-8+4i) and (1 - i) is - 4(1 + i).

"A complex number is a number of the form a + bi, where 'a' and 'b' are real numbers. Here, i = √(- 1)."

Given, (- 8 + 4i)(1 - i)

= (- 8 + 4i - 8i - 4i²)

= [- 8 - 4i - 4(- 1)]

= (- 8 - 4i + 4)

= (- 4 - 4i)

= - 4(1 + i)

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Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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Answer:

The radionkulider theorem describes the relationship between radicals and kulids. Thus explaining that when one adds a radical to the square root of a kulid, one would get a radia kulifer and those being divided together would make an ultimate of a radionklider. Another way this is applied is if one subtracts the radion and the kulid from each other, this would merge into the property of radionkulider and would ultimateley give you a radionklider formula and theorem.

Step-by-step explanation:

The radionuklider thereom is a simple 4 step process to figure out the force of Shrek's Fart.

The equation of the first step is:

sf = d+f+sp/ts

shrek's farts = diarrihha mass + fart pressure + overall smell degree / toilet size

The second step is to take that number equivalent and put it to the power of your sheets of toilet paper.

Then square root it by Shrek's shoe size.

Then divide it and then multiply it by your personal likability of shrek on the 1 - 1000 scale.

The explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.

The explicit formula for the given sequence is:

a_n = 100n + 12

In the given sequence, each term is obtained by adding 100 to the previous term. The first term is 12, and each subsequent term is obtained by adding 100 to the previous term.

Using the formula, we can calculate any term in the sequence by substituting the corresponding value of n. For example:

a_1 = 100(1) + 12 = 112

a_2 = 100(2) + 12 = 212

a_3 = 100(3) + 12 = 312

a_4 = 100(4) + 12 = 412

Therefore, the explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.

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Answer:

$12.5

Step-by-step explanation:

Total=$70.25

Drinks=$2.25x9

=$20.25

Pizza=$70.25-$20.25

=$50/4

=$12.5

Answer:

The answer is "\(\frac{324}{5}\)"

Step-by-step explanation:

If the missing value is this \(z= 9-y-x^2\) then:

\(\bold{z =9-y-x^2} \\\\\to x\leq 0 \\\\\to y < 0\\\\let: \ z= 0\ then\\\\ \to 9-y-x^2=0\\\\\to y=9-x^2\\\\if\ y=0 \\\\\to 0=9-x^2\\\\\to x=3\\\\\text{Calculate the volume: }\\\)

\(\to \int \int z dz\ \ = \int \int_{R} (9-y-x^2) dz\\\\\)

                  \(=\int_0^{3} \ \int_0^{9-x^2} (9-y-x^2) dy \ dx\\\\=\int_0^{3} (9y- \frac{y^2}{2}-x^2 y)^{9-x^2} _{y=0}\ dx\\\\=\int_0^{3} (9-x^2)^2- \frac{(9-x^2)^2}{2}\ dx\\\\=\frac{1}{2} \int_0^{3} (9-x^2)^2\ dx\\\\=\frac{1}{2} \int_0^{3} 81+x^4-18x^2 \ dx\\\\=\frac{1}{2} (81x +\frac{x^5}{5}-6x^3)^3_0 \\\\= \frac{1}{2} (\frac{648}{5}) \\\\=\frac{324}{5}\)

Answer:

x=1

Step-by-step explanation:

y=3x so just add 1+3=4 then add veriable y=4x

We have the expression:

and we have to find the missing number (x):

Answer: the missing number is 4.

Answer:

7. -21-15g

8. x+3y+7

Step-by-step explanation:

use multiplication for number 7

number 8 is just rearranging the numbers

number 9 is confusing since i don't know if it's a point or another symbol

Answer:

C.  Median

Step-by-step explanation:

Median - a segment drawn from the vertex of a triangle to the midpoint of the opposite side.

Answer: Median

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

\(C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45\)

The equation is correct, and the value on both sides of the equation is 40.

To verify if the equation 90 × 4/9 = 40 is true, we can perform the calculation on both sides and compare the results.

On the left side of the equation:

90 × 4/9 = (90 × 4) / 9 = 360 / 9 = 40

On the right side of the equation:

40

Both sides of the equation evaluate to 40, which means they are equal. Therefore, the equation 90 × 4/9 = 40 is indeed true.

In summary, the equation is correct, and the value on both sides of the equation is 40.

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Answer:

7x^2-1

Step-by-step explanation:

\(7x^2-1\)

Answer: 14x-1

( 5 x 2 − 3 x ) + ( 4 x 2 + 7 x − 1 ) − ( 2 x 2 + 4 x ) = \(14x-1\)

The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

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Answer:

62%

Step-by-step explanation:

This one's easy to solve as a percentage because the total number was 100 to begin with. Simply divide the number of employed students by the total amount of students, 62/100, which gets 0.62, or 62%.

Answer:

X° is A=D116°

Step-by-step explanation: