A given measures 30 degrees, and the measure of its vertical angle, is expressed as (5x+5) degrees. Solve for x

Answer:

n=-4

Step-by-step explanation:

3(-4n-9)       =      21

_________           ____

        3                       3

-4n-9=7

-4n=16

__   __

-4n  -4n

n= -4

Answer: n= -4

Step-by-step explanation:

1: Distribute: 3(-4n - 9)= 21 so, -12n - 27= 21

2: Add 27 on both sides: -12n - 27 = 21

                                                    +27 = +27

3: Level: -12n = 28

4: Divide both sides by the same factor: -12n = 48

                                                                       ------ = ----

                                                                       -12     - 12

5: Level again: n = -4 because 48/(-12) is -4.

The pumpkin hangs between the two scales and weighs 58.77 N.

The given data is-

The result of the 2 scale readings is equal to the weight of a pumpkin swinging from the two scales.

The two forces combine to create resultant force;

R² = a² + b² - 2abcos(θ)

R² = 44² + 46² - 2(44)(46)cos(72)

R² = 3454.97

R = 58.77

Consequently, the pumpkin's weight on the two scales is 58.77 N.

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Answer:

Chemical energy is changed to heat energy.

Step-by-step explanation:

Jamal's wealth will be affected positively and negatively depending on the investment probability

If Jamal makes a small investment and the stakes are small, the small amount can affect his wealth in a positive or negative direction. The magnitude of the impact depends on the investment's probability of success and the investment's potential return.

If the probability of success is high and the potential return is positive, the impact on Jamal's net worth could be greater. On the other hand, a low probability of success and a negative potential return may have less impact on Jamal's fortunes.

Ultimately, the impact of a small investment on Jamal's wealth will depend on the specific details of the investment and the associated risks and potential rewards.

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Answer: He would have $1,500 alone from making $150 each year, and the total would be $3,500.

Step-by-step explanation: To find how much money he makes in 10 years (not including the $2,000) we would multiply 150 by 10 to get 1500.

Now, we need to add 2000 + 1500, and we get 3,500.

I hope this helps!

Answer:

Step-by-step explanation:

find x

7x+10=2x+40+3x

2x=30

x=15

ABD = 7(15)+10 = 115

ABD + ABC =180

115+ABC=180

ABC=65

95.1% of the proportion of observed variation in hardness can be explained by the simple linear regression model relationship between hardness and elapsed time.

Linear regression model:

In statistics, linear regression model defined the relationship between a dependent variable, y, and one or more independent variables, X.

Given,

Here we need to find the percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time.

In order to find the percentage we must know the definition of observed variation which means  the combined variation that is derived from all sources.

In order to solve this let us consider that the linear regression model is used by statisticians to predict the value of the response variable for given values of the predictor variables.

So, if there are two variables involved in the regression analysis, then the model is called a bivariate one.

Where as If there are more than two independent variables, then the regression model is known as the multiple regression model.

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AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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Answer:

D 13 shirt

Step-by-step explanation:

9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13

Answer: Answer is NONE

Step-by-step explanation:

I took the test

the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}

∫∫3xy2 dx dy = 16

We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:

∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy

Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:

∫0→1 3xy2 dx = x3y2 + c

Now, we can substitute this expression into the double integral, giving us:

∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy

Finally, we can integrate this expression with respect to y, giving us the following:

∫∫3xy2 dx dy = x3y3 + cy + d

Now, we can substitute the limits of integration into this expression, giving us the following:

∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16

therefore, the double integral is equal to 16.

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Answer: x =3

Step-by-step explanation:

-7+4x=5

4x = 12

x =3

Answer:x=3 good luck You got this one

Step-by-step explanation:

-7+4x=5

Move the constant to the right-hand side and change its sign

4x=5+7

Add the numbers

4x=12

Divide both sides of the equation by 4

x=3

For a perfectly symmetrical Distribution, the perfect relationship is

Mean = Median.

A symmetric distribution is when the values ​​of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.

A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.

The Properties of Symmetrical distribution is :

Mean:

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values ​​(magnitude and sign) of a particular data set.

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.

Median:

The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.

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Answer:

No solution

Step-by-step explanation:

-6x - 9y = 0

-24x -36y = 0

Multiply the top equation by -4 and add that to the second equation

24x + 36y = -4

-24x - 36y = 0

0 + 0 = -4

0 ≠ -4  Since this is a false statement, the answer is no solution.

Congruent triangle: The values of x, y, and z are x = 23; y = 7 and z = 11.

What is a congruent triangle?

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Given: ΔPRS ≅ ΔCFH

Since both triangles are congruent, m<R = m<F

m<F is a right angle = 90°.

Thus, 13y - 1 = 90

13y = 90 + 1

13y = 91

y = [tex]\frac{91}{13}[/tex]

y = 7

Also, by inspection

PS = CH

⇒ 2x - 7 = 39

⇒ 2x = 39 + 7

⇒ 2x = 46 ⇒ x = [tex]\frac{46}{2}[/tex]

x = 23

Since m<R is 90°, then

m<S = 180 - (90 + 28)

m<S = 62°

By inspection,

m<S = m<H

Thus,

⇒ 6z - 4 = 62

⇒ 6z = 66

z = [tex]\frac{66}{6}[/tex]

z = 11

Hence, x = 23, y = 7 and z = 11.

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Answer: 3(p-5) + 2s

Step-by-step explanation:

Let p represent the henna powder, we know that she has a discount of $5 dollar for every henna powder, and she will buy 3.

So the equation is 3(p-5), plus the two bottles, we get the equation

3(p-5) + 2s

The sales tax on the good based on the selling price that is given will be $3.20.

It should be noted that the sales tax simply means the tax that's levied on the goods and services that are sold by.

Based on the information given, the following can be deduced:

Sales tax Percentage = 8%

Price of good = $40

In this situation, in order to calculate the sales tax, we will have to multiply the sales tax percentage by the amount of the good which is the selling price. This will be:

Sales tax = Sales tax percentage × Price

Sales tax = 8% × $40

Sales tax = 0.08 × $40

Sale tax = $3.20

Therefore, the sales tax is $3.20.

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Answer:

Step-by-step explanation:85 percent with equals a b

Answer:

x^2 - x +3, aka the last option

Step-by-step explanation: y intercept is positive in the table, and leaves us with the first option and the last option. plugging in 3 gets the right answer of 9 for the last choice and gives 15 for the first choice

Answer:

128 4/7

Step-by-step explanation:

100%-30%=70%

90=.7X

900=7X

128 4/7=X

The completed equation of complex numbers in the puzzle is presented as follows;

(5 - 6·i) × (2 + 4·i) = 34 + 8·i

Complex numbers are numbers that have a real number part and an number imaginary part.

The formula form the multiplication of two complex numbers is presented as follows;

(a + i·b) × (c + i·d) = (a·c - b·d) + i·(a·d + b·c)

The specified equation is; (_ + _i) × (_ + _i) = 34 + 8·i

Therefore; (a·c - b·d) = 34

(a·d + b·c) = 8

Making a the subject, we get;

(34 + b·d)/c = (8 - b·c)/d

34·d + b·d² = 8·c - b·c²

b·d² + b·c² = 8·c - 34·d

b = (8·c - 34·d)/(d² + c²)...(1)

Similarly, making c the subject, we get;

(34 + b·d)/a = (8 - a·d)/b

34·b + b²·d = 8·a - a²·d

b²·d + a²·d = 8·a - 34·b

d = (8·a - 34·b)/(b² + a²)...(2)

The values of b and d which are whole numbers larger than or equal to -9 and less than or equal to 9, obtained using MS Excel are;

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8

Obtaining the whole number digit for b from equation (1) and plugging in the value of b in equation (2), to obtain the value of d with which the value of b was obtained, we should get;

a = 5, b = -6, c = 2, and d = 4

Which indicates that we get;

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According to the translation rule (x, y) → (x + 2, y - 8), B (4,-5) will be transformed to B'

O (6,-13)

A transformation known as a translation involves moving each point in a figure uniformly and in the same direction.

information from the question

Transformation rule (x, y) → (x + 2, y - 8)

B is at 4, negative 5 = B (4, -5)

The transformation rule gives

point B (4, -5)

applying the rule

x' = 4 + 2 = 6

y' = -5 - 8 = -13

The coordinates of point B' (x', y') after translation is = B'(6, -13)

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The exact value of tanθ is  -1/2  

What is the trigonometric ratio?

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Given:

θ is an angle in standard position and its terminal side passes through the point (2,-1).

To find:

The exact value of tanθ in simplest radical form.

If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:

tanθ = y/x

It is given that, θ is an angle in standard position and its terminal side passes through the point  (2,-1),. So, t he exact value of tanθ is:

tanθ = -1/2

Therefore, the required value is  tanθ = -1/2  

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9, 3, and 1 are the values of a, b, and c using the exponential function g(x)=(1/3)∧x.

A mathematical function with the formula f (x) = an x is an exponential function.

Where x is a variable, and an is a constant called the basis of the function.

The most typically seen exponential-function base is the transcendental number e, which is equivalent to about 2.71828.

So, the exponential function:

g(x) = (1/3)∧x

From the table, we are also to find out the value of a, b and c

If x = -2

g(-2) = a  = (1/3)⁻²

a = 1/3⁻²

a = 9

Accordingly,

If x = -1

g(-1) = b  = (1/3)⁻¹

a = 1/3⁻¹

b = 3

Hence,

If x = 0

If x = -1

g(0) = c  = (1/3)⁰

c = 1

Therefore, 9, 3, and 1 are the values of a, b and c using the exponential function g(x) = (1/3)∧x.

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Complete question:
Complete the table of values for the function.

f(x) = ( 1/3) ^x

a=

b=

c=

36 is  the number of possible pairs of outcomes by probability.

What is a probability answer?

Mathematics' branch of probability, where probability is the likelihood that any event will occur, deals with the occurrence of random events.      

                                                 The probability value is given as a number between 0 and 1. Probabilities are always between 0 and 1. The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes.

We have two dice in this question. A die is known to be make up of 6 faces.

Therefore the number of faces for two dice = 6*6 = 36

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2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

Given that,

TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.

We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

We know that,

Let

Population proportion (p)= 0.40

Margin of error = 2% = 0.02

Confidence level = 95% = 0.95

α = 1- 0.95 = 0.05

α/2 = 0.025

Let's find out the Z critical value using excel for the 95% confidence level,

Use the following excel command.

= ABS(NORMSINV(α/2))

= ABS(NORMSINV(0.025))

We will get, Z critical value = 2.17009

Sample size (n) = p(1-p)×(Zα/2)/E

n = 0.40(1-0.40)({2.17009}÷{0.05})²

Sample size (n) = 2327

Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.

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The smallest degree of rotation that will map a regular 16-agon onto itself is 22.5 degrees.

What is a degree?

A degree is a unit of measurement used to express angles. It is defined as 1/360th of a full rotation, or 1/2π radians.

To see this, note that a regular 16-agon has 16 sides, and each angle between sides measures 180(16-2)/16 = 135 degrees. Therefore, to rotate the 16-agon so that it maps onto itself, we must rotate it an integer multiple of 135 degrees.

However, we want the smallest such angle, so we must find the smallest integer multiple of 135 degrees that is greater than or equal to 360 degrees (since a full rotation maps the figure onto itself). The smallest such multiple is 2, which is equal to 270 degrees.

The smallest degree of rotation that will map the 16-agon onto itself is 270 degrees / 2 = 135 degrees / 2 = 22.5 degrees.

Hence, The smallest degree of rotation that will map a regular 16-agon onto itself is 22.5 degrees.

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Answer:

Step-by-step explanation:

Step 1

1 of 5

Graph the three points and connect them to create the mid segments of the triangle:

Use midsegments of triangles in the coordinate plane.

Use the Triangle Midsegment Theorem to fi nd distances.

Using the Midsegment of a Triangle

A midsegment of a triangle is a segment that connects the

midpoints of two sides of the triangle. Every triangle has

three midsegments, which form the midsegment triangle.

The midsegments of △ABC at the right are MP —, MN —,

and NP —. The midsegment triangle is △MNP.

Using Midsegments in the Coordinate Plane

In △JKL, show that midsegment MN — is parallel to JL —

and that MN =

1

—2 JL.

SOLUTION

Step 1 Find the coordinates of M and N by fi nding

the midpoints of JK — and KL —.

M (—

−6 + (−2)

2

, —

1 + 5

2

) = M ( −8 —

2

, 6

—

2

) = M(−4, 3)

N (—

−2 + 2

2

, —

5 + (−1)

2

) = N ( 0

—

2

, 4

—

2

) = N(0, 2)

Step 2 Find and compare the slopes of MN — and JL —.

slope of MN —= —

2 − 3

0 − (−4) = −

1

—

4

slope of JL — = —

−1 − 1

2 − (−6) = −

2

—

8

= −

1

—

4

Because the slopes are the same, MN — is parallel to JL —.

Step 3 Find and compare the lengths of MN — and JL —.

MN = √——

[0 − (−4)]2 + (2 − 3)2 = √—

16 + 1 = √—

17

JL = √———

[2 − (−6)]2 + (−1 − 1)2 = √—

64 + 4 = √—

68 = 2 √—

17

JL = √———

[2 − (−6)]2 + (−1 − 1)2 = √—

64 + 4 = √—

68 = 2 √—

17

Because √—

17 =

1

—2

(2 √—

17 ) , MN =

1

—2 JL.

Monitoring Progress onitoring Progress Help in English and Spanish at BigIdeasMath.com

Use the graph of △ABC.

1. In △ABC, show that midsegment DE — is parallel

to AC — and that DE =

1

—2 AC.

2. Find the coordinates of the endpoints of

midsegment EF —, which is opposite AB —. Show

that EF — is parallel to AB — and that EF =

1

—2 AB.

READING

In the fi gure for Example 1,

midsegment MN — can be

called “the midsegment

opposite JL —.”

midsegment of a triangle,

p. 330

Previous

midpoint

parallel

slope

coordinate proof

Core Vocabulary Core Vocabulary

A C

P

N

M

B

x

y

4

6

−2

−6 −4 −2

M

N

K(−2, 5)

J(−6, 1)

L(2, −1)

x

y

−4

−6

−2 2 4 6

D

E

C(5, 0)

B(−1, 4)

A(

Answer:

178

Step-by-step explanation:

SORRY IF ITS WRONG IM BAD AT MATH :(

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is: B. 68%.

In Mathematics and Statistics, a frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

In Mathematics and Statistics, the cumulative frequency of a data set can be calculated by adding each frequency from a frequency distribution table to the sum of the preceding frequency. Thus, the relative cumulative frequency would be calculated as follows;

Cumulative frequency of students = 4 + 8 + 15 + 7 = 34.

Cumulative frequency of students = 34.

Total frequency = 4 + 8 + 15 + 7 + 7 + 3 + 4 + 2

Total frequency = 50.

Therefore, the relative cumulative frequency can now be determined;

Relative cumulative frequency = 34/50

Relative cumulative frequency = 0.68 or 68%

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Answer:

68%

Step-by-step explanation:

Got it right.