Mathematics High School

what is 3х + 9 = 24?

Answers

Answer 1

Answer:

answer is 5

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

3x+9−9=24−9

3x=15

Step 2: Divide both sides by 3.

x=5

Related Questions

Function f is represented by f(x)=5(x+11).

b. Find the value of x such that fix)-90 is true.

Answers

Function f is represented by f(x)=5(x+11), the value of x such that fix)-90 is true; x = -29.

What is function?

The function is a mathematical phrase, rule, or law that establishes the connection between an independent variable and a dependent variable (the another variable).

A function is described as a relationship between a group of inputs and one output each. A function is, to put it simply, a connection between inputs in which each input is connected to exactly one output.

f(x) = 5(x + 11)

or, f(x) = 5x + 55

now, putting the value of f(x) = -90

-90 = 5x + 55

or, 5x = - 145

or, x = - 29

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when using a graduated pipet, at which point do you measure the volume?

Answers

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

1. Place the graduated pipet on a flat surface and make sure it is level

2. Draw the liquid up until the meniscus is level with the etched line that corresponds to the desired volume

3. Make sure the liquid is not touching the etched line above it

4. Observe the bottom of the meniscus and take the reading at the point where the liquid level is between the two etched lines

The volume is measured at the bottom of the meniscus when the liquid level is between the two etched marks on the pipet.

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Which equation represents the line shown on the coordinate plane below??

Answers

The y-intercept=0 and the slope=-1/4,
so y=-1/4x represents the line.

A straight line is represented by a linear function.

The equation of the line is $y = -\frac 14 x$

From the coordinate plane, the line passes through the following points

$(x,y) =(0,0)\ (4,-1)$

The slope of the above points is calculated using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, the above equation becomes

$m = \frac{-1 - 0}{4-0}$

This gives

$m = \frac{-1}{4}$

Rewrite as:

$m = -\frac{1}{4}$

The line equation is then calculated as:

$y = m(x-x_1) + y_1$

So, we have:

$y = -\frac 14 (x-0) + 0$

This gives

$y = -\frac 14 (x)$

Remove bracket

$y = -\frac 14 x$

Hence, the equation of the line is $y = -\frac 14 x$

Answers

The expression $(2x^3)^2(-5x^4)$ simplifies to $-20x^{10$. Therefore, the values of a and b in the form $ax^b$ are a = -20 and b = 10. The value of a + b is -10.

To simplify the expression $(2x^3)^2(-5x^4)$, we need to apply the exponent rules.

First, we simplify the expression inside the first parentheses:

$(2x^3)^2 = 2^2 * (x^3)^2 \\= 4x^6$

Now, we substitute this simplified expression back into the original expression:

$(4x^6)(-5x^4) = -20x^{10$

So, the expression $(2x^3)^2(-5x^4)$ simplifies to $-20x^{10$.

The form $ax^b$ is now apparent, where a = -20 and b = 10.

Therefore, the value of a + b is:

a + b = -20 + 10

= -10

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the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side?

Answers

Answer:

10.5 cm

Step-by-step explanation:

Multiply the ratios by x

3x : 8x: 7x

Add the sides together

3x+8x+7x to get the perimeter

18x = 63

Divide each side by 18

18x/18 = 63/18

x =3.5

The shorter side is 3x

3*3.5=10.5 cm

What is the average speed of someone who walks 3 kilometers in 1 hour?

A. 3 m/h B. 0.33 km/h C. 3 km/h D. 0.33 km/h2

Answers

Answer: C. 3 km/h
Reasoning: This is a ratio, where the person walks 3 kilometers (km) per 1 hour (h)

to calculate mad and summing up the forecasts errors, the value used for ||18−20|| in the calculation is? multiple choice question. either 2 or -2 2 -2 cannot be computed

Answers

The sum of forecast errors is also known as total forecast error. Therefore, the correct answer is option A, which is "2."

The absolute error of the given data is calculated by subtracting the actual value from the forecasted value, followed by the absolute value.

The errors are then summed up to get the mean absolute deviation. The value used for ||18−20|| in the calculation of MAD and summing up the forecast errors is 2.

Therefore, the correct answer is option A, which is "2."Formula for calculating MAD:MAD = Σ ( | A_i - F_i | ) / n

Where: MAD is the mean absolute deviation|A_i - F_i| represents the absolute error between the actual value (A) and the forecasted value (F)n is the total number of observations, Sum of forecast errors:Σ ( A_i - F_i )Where: A_i is the actual valueF_i is the forecasted value

The sum of forecast errors is also known as total forecast error.

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The ratio of yellow marbles to purple marbles was 13 to 4. If there were 102 marbles in the bag, how many were yellow marbles?

Answers

The number of yellow marbles based on the given ratio will be 78.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Suppose, the number of yellow marbles is Y while purple marbles are P.

As per the given,

The ratio Y/P = 13/4

Total Y + P = 102

(13/4)P + P = 102

13P + 4P = 408

17P = 408

P = 24

And, Y = 102 - 24 = 78

Hence "The number of yellow marbles based on the given ratio will be 78".

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Watch help video
Write an
explicit formula for An, the nth term of the sequence 32, 25, 18, ....

Answers

Answer:

$\bold{a_n=-7n+39}$

Step-by-step explanation:

25 - 32 = -7 and 18 - 25 = -7

It means an arithmetic sequence with common difference d = -7

$a_n = a_1+d(n-1)\\\\a_1=32\\d=-7\\\\a_n=32+(-7)(n-1)\\\\a_n = 32-7n+7\\\\\underline{a_n=-7n+39}$

Determine which of the lines, if any, are parallel or perpendicular. Explain.

Line a: -x+2y=3

Line b: -6x=3y-1

Line c: 4x-8y=5

Answers

Answer:

See below

Step-by-step explanation:

Let's rewrite all three equations is standard slope-intercept format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0).

Line a: -x+2y=3

2y = x + 3

y = (1/2)x + 3

Line b: -6x=3y-1

-3y = 6x - 1

y = -2x + (1/3)

Line c: 4x-8y=5

-8y = -4x + 5

y = (1/2)x - (5/8)

Parallel lines have the same slope (m). Perpendicular lines have slopes that are the negative inverse (-1/m)of each other.

Slopes, m, for the lines are;

a) (1/2)b) -2c) (1/2)

The negative inverse of (1/2) is -2.

Lines a and c are parallel (same slope)

Line b is perpendicular since it's slope is the negative inverse of both a and b (-1/(1/2)) = -2

For the given polynomial p(x) and given C=-2 use the remainder theorem to find P(c).P(x)=(3x^4+4x^2+2)

Answers

Answer:

The correct answer is "66"

Step-by-step explanation:

P(-2) = 3*16 + 4*4 + 2

P(-2) = 48 + 16 + 2

P(-2) = 66

Which ordered pair is a solution of the equation?
y = 82 + 3

Answers

You need to show us the ordered pairs

The philanthropic organization in Exercise 1 expects about a 5%success rate when they send fundraising letters to the people on their mailing list. In Exercise 1 you looked at the histograms showing distributions of sample proportions from 1000 simulated mailings for samples of size and The sample statistics from each simulation were as follows:a) According to the Central Limit Theorem, what should the theoretical mean and standard deviations be for these sample sizes?b) How close are those theoretical values to what was observed in these simulations?c) Looking at the histograms in Exercise at what sample size would you be comfortable using the Normal model as an approximation for the sampling distribution?d) What does the Success/Failure Condition say about the choice you made in part c?

Answers

The Normal model is a good approximation for the sampling distribution.

a) According to the Central Limit Theorem, the theoretical mean and standard deviation for a sample size of 20 should be 0.05 and 0.02, respectively. For a sample size of 100, the theoretical mean and standard deviation should be 0.05 and 0.01, respectively.

b) The observed mean and standard deviation for a sample size of 20 was 0.052 and 0.021, respectively. For a sample size of 100, the observed mean and standard deviation was 0.051 and 0.012, respectively. These values are fairly close to the theoretical values.

c) Looking at the histograms in Exercise 1, I would be comfortable using the Normal model as an approximation for the sampling distribution at a sample size of 100.

d) The Success/Failure Condition states that the sample size should be large enough for the sampling distribution of the sample proportions to be approximately normal. Since I chose a sample size of 100, which satisfied the condition, I can be confident that the Normal model is a good approximation for the sampling distribution.

The sample size of 100 is large enough for the sampling distribution of the sample proportions to be approximately normal, and the observed mean and standard deviation is close to the theoretical values. Therefore, the Normal model is a good approximation for the sampling distribution.

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I think it's a but not sure could you tell me if I'm right or if not tell me the answer

Answers

Answer:

Leonardo emiliano Castañeda

Answer:

Your answer is correct.

A plane is at a height of 300 m and is 500 m from airport .How much distance will it travel to land from airport?

Answers

Answer:

800meters.

Hope this helps!!

focus on the means (mean). - what do you notice about the means of the sample means as the sample size increases from 1 to 100? - what would you expect the mean of the sample means to equal if n

Answers

As the sample size increases the mean is 100 , if n = 1000 , the mean of the sample means will be unchanged .

In the question ,

from the table we can observe that ,

if n = 1 , the mean is 97.656 ,

if n = 5 , the mean is 100.101 ,

if n = 10 , the mean is 100.006 ,

if n = 100 , the mean is 100.341 ,

from the table we notice that as the sample size increases from 1 to 100 , the means of the sample means are same that is 100 .

we can see that for every n , the mean is approximately equal to 100 ,

So , if n = 1000 , then the mean will also be approximately equal to 100 .

Therefore , the mean of the sample means will be unchanged .

The given question is incomplete , the complete question is

Focus on the means. What do you notice about the means of the sample means as the sample size increases from 1 to 100? What would you expect the mean of the sample means to equal if n = 1000 ?

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focus on the means (mean). - what do you notice about the means of the sample means as the sample size

Write (5i)2 as either an integer

or an integer multiple of I

Answers

$(5i)^2\\\\=25\cdot i^2\\\\=25(-1)\\\\=-25$

(5i)² can be written in integer form as as -25.

What is a Complex number?

The numbers which can be expressed in the form of a + ib, where both 'a' and 'b' are real numbers and 'i' an imaginary number is called complex numbers.

So a complex number has a real part and an imaginary part.

The imaginary number 'i' is called iota and value of i is √-1.

We know the value of i.

i = √-1

i² = -1

(5i)² only has an imaginary part.

∴ (5i)² = 5² i²

= 25 × -1

= -25

Hence we can write (5i)² as -25 in the integer form.

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((1-sinθ)(1+sinθ))/(〖sin〗^2 θ)=〖cot〗^2 θ

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ 1 - sin²x = cos²x

cot x = $\frac{cosx}{sinx}$

Consider the left side

$\frac{(1-sin0)(1+sin0)}{sin^20}$ ← expand numerator using FOIL

= $\frac{1-sin^20}{sin^20}$

= $\frac{cos^20}{sin^20}$

= cot²Θ = right side

Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?

Answers

Answer:

answer is c depends on both independent variable

past studies indicate that about 60 percent of the trees in a forested region are classified as softwood. a botanist studying the region suspects that the proportion might be greater than 0.60. the botanist obtained a random sample of trees from the region and conducted a test of the p-value of the test was 0.015. which of the following is the correct interpretation of the p-value?

Answers

Answer:

According to the given data, if it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

Step-by-step explanation:

Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood.

A botanist studying the region suspects that the proportion might be greater than 0.60.

The botanist obtained a random sample of trees from the region and conducted a test of H0:p=0.6 versus Ha:p>0.6.

Therefore, he p-value of the test was 0.015, indicating the past studies.

Hope this helps!

John has pens that come in packages of 15 and crayons that come in packages of 20. What is least number of packages of pens and pack; crayons he will need in order to have the same total number of pens and crayons?

Answers

Answer:

15 packs of crayons and 20 packs of pens

Step-by-step explanation:

you have to the multiply the amount that comes in each pack together

when is the opposite of a number and its absolute value the same. explain and give example

Answers

The opposite of a number is derived when the value moves in the opposite direction on the number line. Hence the opposite of 10 on the number line is -10 because you simply move 10 units to the left of the number line. So to put it simply, the opposite of a number is the same number with a negative value. However the absolute value of a number is the positive value of that same number. Hence when a number is expressed in its absolute value (usually written as |x|, then whether its positive or negative, its value would be expressed as a positive. Which means for example, the absolute value of -10 is 10, (or | -10 | = 10).

The opposite of a number and its absolute value is always the same, because the value of any number in its absolute form is always positive.

Note that two numbers are opposites if they have the same absolute value.

Jake lives 2⅓mile from school. He decides to walk to the shop on his way home. The shop is 1⅜mile from school. A) What is the shortest possible distance from the shop to his home? B) What is the largest possible distance from the shop to his home?

Answers

Answer:

Shortest distance = 23/24

Farthest distance = 3 17/24 miles

Step-by-step explanation:

Distance of home from school = 2 1/3 miles

Distance of shop from school = 1 3/8 miles

Shortest distance possible :

(2 1/3 - 1 3/8) miles

(7/3 - 11/8) miles

L. C. M = 24

(56 - 33) / 24

23 / 24 miles

The farthest distance :

(2 1/3 + 1 3/8) miles

(7/3 + 11/8) miles

L. C. M = 24

(56 + 33) / 24

89 / 24

= 3 17/24 miles

Which expression is equivalent to 54 · (5-2)3 ?

Answers

Based on PEMDAS,
54 x (3)3
54 x 9
486

need help solving this

Answers

360 degrees equals a circle. A circle can be divided into more manageable pieces. A circle's circumference is referred to as an arc, and an arc is given a name based on its angle.

What do you meant by circle ?

Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry. The shape of a car tire, a wall clock that indicates the time, and a lollipops are a few objects that are circular in nature. The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape.

The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles. A curved line forms a circle, a two-dimensional shape. The curving line's tips are evenly spaced apart from the center since it is a sphere.

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Solve the right triangle.

Answers

Hope this helps. The method is Pythagoras

please type of slope rise and run

Answers

The completed blanks are

Type of slope = undefinedRise = Any real valueRun = 0Slope = undefined

How to determine the slope

From the question, we have the following parameters that can be used in our computation:

The graph of values

The rise is the difference between y values

So, we have

Rise = Any real value

For the run, we have

Run = 3 - 3 = 0

So, we have

Slope = Any real value/0

Slope = Undefined

Hence, the slope is undefined

Answers

If the test statistic is -3.11, it means that the observed data is 3.11 standard deviations below the mean of the null distribution.

Since 2.36 is in the rejection region, it means that the critical value for the test is greater than 2.36 in absolute value. This implies that the null hypothesis would be rejected if the test statistic is either less than the negative critical value or greater than the positive critical value.

However, since the test statistic of -3.11 is smaller than the negative critical value, we would fail to reject the null hypothesis. This means that we would conclude that there is not enough evidence to support the alternative hypothesis and we accept the null hypothesis. Therefore, we would have made an incorrect decision if we rejected the null hypothesis based on the given information.

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Write an equation for this relationship.

Tickets to a zoo cost $12 for each adult and $8 for each child. A family has $72 for the zoo trip.

Use `a` for the number of adult tickets.
Use `c` for the number of child tickets.

Answers

The equation for this relationship is $3a+2c=23$

What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Given,

Tickets to a zoo cost $12 for each adult and $8 for each child. A family has $72 for the zoo trip

$=12a + 8c=72\\=4(3a+2c)=72\\=3a+2c=\frac{72}{4} \\=3a+2c=23$

Therefore, the equation for this relationship is $3a+2c=23$

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Suppose you have a sample of 35 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of sadness. The average 16-year-old has a score on the emotion recognition scale of 13.10. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed. The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 10-year olds. In order to use the t distribution, you will first need to determine the degrees of freedom (df) for alpha=.05. The degrees of freedom is: _____

Answers

The degrees of freedom for alpha = 0.05 for the sample of 35 16-year old with antisocial tendencies is 34.

In order to use the t distribution to compare the scores on the emotion recognition scale for the sample of children with antisocial tendencies to the general population of 16-year olds, the degrees of freedom must first be determined.

Degrees of freedom (df) describes the amount of independent information that a sample has. It is calculated by subtracting the number of sample observations from the number of parameters estimated. In this case, for alpha = 0.05, the degrees of freedom for the sample would be 34 (df = n-1, where n is the number of observations which is 35).

Therefore, the degrees of freedom for alpha = 0.05 for the sample of 35 16-year old with antisocial tendencies is 34.

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