. When 12 is subtracted from 4 times a number, the result is 24. Which equation can be used to find the number?

Answer:

I can't see the fourth option, but the answer would be C.

Step-by-step explanation:

It's the only graph that fits the question.

Answer:

x=1

Step-by-step explanation:

if the zeroes are (-2,0) and (4,0), then the axis of symetry is going to be right in the middle of those two, with the graph reflected equally on either side.

so you get:

(4-2)÷2=1

therefore the equation of the axis of symetry is x=1

Answer:

x=−12

Step-by-step explanation:

Let's solve your equation step-by-step.

x=23−25−10

Step 1: Simplify both sides of the equation.

x=23−25−10

x=23+−25+−10

x=(23+−25+−10)(Combine Like Terms)

x=−12

Answer: -36

Step-by-step explanation:

13, 6, -1

to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms

13, 6, -1, -8, -15, -22, -29, -36

the eighth term would be -36

i hope that makes sense

If a cylinderical tank is filled to the top, then the gallons which it will hold is equals to the 7,640.41 gallons.

We have, A cylindrical tank which is field with water.

The height of cylinderical tank, h = 18 feet

Diameter of cylindrical tank = 8.5 feet

As we know, diameter = 2× radius

=> radius = diameter/2

Radius of cylindrical tank, r = 8.5/2

= 4.25 feet

The space or region occupied by a three-dimensional object is called volume of object. Volumes are expressed in cubic units. Volume of cylinder = πr²h

So, volume of cylindrical tank, V = πr²h

=> V = π(4.25)²18 ft³

=> V = 3.1417 ×18 ×18.06 ft³

=> V = 1,021.44 ft³

So, volume of tank is 1,021.44 ft³. But we need the volume in gallons, so converts cubic feet into gallons. According to measurement units,

1 cubic units = 7.48 US liquid gallons

then 1,021.44 ft³ = 1,021.44 × 7.48 gallons

= 7,640.41 gallons

Hence, required volume is 7,640.41 gallons.

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Answer:

The new graph will be lower than the original.

Step-by-step explanation:

Currently, looking at the equation of the total weight, we have f(x) = x + 30.

This equation is in the form y = mx + b, where m is the slope and b is the y-intercept (the place where the line crosses the y-axis). Here, 30 is the y-intercept. See first attachment.

However, if we change 30 to 26, we get the new equation g(x) = x + 26. Since 26 < 30, the y-intercept will be lower and the whole graph will be lower. See second attachment.

Thus, the new graph will be lower than the original.

~ an aesthetics lover

Answer: I think it is between 3rd and 4 lines of number 2 and 3

Step-by-step explanation:

Because it line here is 0.20

so 2.7 will be some where between 3rd and 4 lines of number 2 and 3

Answer:

x = 3

Step-by-step explanation:

Distribute

6x - 8 = 10

Isolate x along with its constant

6x - 8 + 8 = 10 + 8

6x = 18

Divide 6from both sides

6x/6 = 18/6

x = 3

Answer:

x=1.3

Step-by-step explanation:

2(3x-4)=10

6x-2=10

   -2  -2

6x=10

divide by 6 on both sides

x=1.3

Answer:

127 : 300

Step-by-step explanation:

127 freshman, 63 sophomores, 55 juniors & 55 seniors what is the ratio of freshman to the total number of band members

Total number of members =

127 freshman + 63 sophomores + 55 juniors + 55 seniors = 300

Hence:the ratio of freshman to the total number of band members

Freshman : Total number of band members

127 : 300

The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

The term significant figures refers to the non zero digits in a number . It is those numbers that can be assigned a value in any string of digits. In mathematics, we often carry out operations such as addition, subtraction, division and multiplication.

The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

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The equation of the line with a slope of zero that goes through (2, -5) is y = -5.

If a line has a slope of zero, it means that the line is horizontal. A horizontal line has the same y-coordinate for all points along the line.

Since the line passes through the point (2, -5), the equation of the line can be written as y = -5, where y is the dependent variable and -5 is the constant value.

Therefore, the equation of the line with a slope of zero that goes through (2, -5) is y = -5.

A line with a slope of zero is a horizontal line, which means it has a constant y-coordinate for all points along the line. In this case, since the line passes through the point (2, -5), the y-coordinate remains -5 for all x-values.

The general equation of a horizontal line can be written as y = c, where c is a constant. Since the line passes through the point (2, -5), we can substitute the values of x = 2 and y = -5 into the equation to determine the specific constant.

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The solutions to the Quadratic equation x² + 5x - 24 = 0 are x = 3 and x = -8.

In order to solve the given equation, it is essential to understand that there are three main steps to solve the quadratic equation, and these steps are as follows:

Step 1: Rearrange the terms and set them equal to zero.

Step 2: Factor the quadratic expression if possible or use the quadratic formula.Step 3: Solve for x by simplifying and evaluating the resulting expression. Now, let's apply these steps to the given quadratic equation, which is as follows: x² + 5x - 24 = 0

Step 1: Rearrange the terms and set them equal to zero the given quadratic equation is in standard form, which means the quadratic term (x²) is first, followed by the linear term (5x), and the constant term (-24) is on the right side. Thus, we can leave the equation as it is, because it is already set equal to zero.

Step 2: Factor the quadratic expression or use the quadratic formulaIn this case, the quadratic expression cannot be factored using integer values, so we must use the quadratic formula. The quadratic formula is as follows:$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$Where a, b, and c are the coefficients of the quadratic expression ax² + bx + c.

Therefore, we can identify the coefficients from the given equation as follows:a = 1, b = 5, c = -24.Now, we can substitute these values into the quadratic formula and solve for x as follows:$$x=\frac{-5\pm\sqrt{5^2-4(1)(-24)}}{2(1)}$$$$x=\frac{-5\pm\sqrt{25+96}}{2}$$$$x=\frac{-5\pm\sqrt{121}}{2}$$Step 3: Solve for x by simplifying and evaluating the resulting expression

Now, we can simplify the expression under the square root sign (the discriminant), which is 121, so we can rewrite the expression as follows:$$x=\frac{-5\pm\sqrt{121}}{2}$$$$x=\frac{-5\pm11}{2}$$$$x_1=\frac{-5+11}{2}=3$$$$x_2=\frac{-5-11}{2}=-8$$

Thus, the solutions to the quadratic equation x² + 5x - 24 = 0 are x = 3 and x = -8.

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Answer:

k = 6

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) shifted 6 units to the left

Then

g(x) = f(x + 6) → with k = 6

Answer:

w=+/-4.24 or whatever could be either since its squared

Step-by-step explanation:

subtract 25 so 5x^2=90. divide by 5 so w^2=18 then square root to get rid of the ^2 so w=+/-4.24

Answers:

Note: 3/4 = 0.75

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

Explanation:

The first thing we need to do is solve that given equation for y

4x+3y = 3

3y = 3-4x

3y = -4x+3

y = (-4x+3)/3

y = (-4x)/3 + 3/3

y = (-4/3)x + 1

This last equation is in slope intercept form, y = mx+b, where,

These m and b values are not the final answer unfortunately, as we have yet to determine anything about the perpendicular line. However, it helps us build toward the answer.

We'll focus on the slope.

Apply the negative reciprocal to -4/3 to get 3/4. We flip the fraction and the sign from negative to positive.

This means the perpendicular slope is 3/4 and this value goes in the first box.

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

From here, we'll use the fact that the perpendicular line goes through the point (x,y) = (5,3)

i.e. we have x = 5 and y = 3 pair up together.

Use that perpendicular slope we found earlier to say,

y = mx+b

3 = (3/4)*5 + b

3 = 15/4 + b

3 - 15/4 = b

12/4 - 15/4 = b

(12-15)/4 = b

-3/4 = b

b = -3/4 is the y intercept of the perpendicular line

Answer:

y = 3/4 x -3

Step-by-step explanation:

4 x + 3y = 3

3y = -4x + 3

y = -4/3x + 1

~~~~~~~~~~~~~~~~~~~~~~~

y = 3/4 x + b

3 = 3/4(5) + b

12 = 15 + b

B = -3

The surface area of the pyramid is 1377 square units

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To find the surface area of a pyramid, we use the formula SA=B+12ps, where B is the area of the base, p is the perimeter of the base, and s is the slant height

height = 9

length = 3

width = 3

therefore s = √9²+3²

s = √81+9

s = √90

s = 9.5 units

Base area = l×w = 3 × 3 = 9 units

perimeter of the base = 2( 3+3) = 2×6 = 12

Surface Area = 9 + 12× 12× 9.5

SA = 9 + 1368

SA = 1377 square units

Therefore the surface area of the pyramid is 1377 square units

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The factored form of the given polynomial x^4 + 25x^3 + 213x^2 + 675x + 486 with a zero at -9 with multiplicity 2 is (x+3)^2(x+9)^2.

To factor the given polynomial with a zero at -9 with multiplicity 2, we can start by using the factor theorem. The factor theorem states that if a polynomial f(x) has a factor (x-a), then f(a) = 0.

Therefore, we know that the given polynomial has factors of (x+9) and (x+9) since it has a zero at -9 with multiplicity 2. To find the remaining factors, we can divide the polynomial by (x+9)^2 using long division or synthetic division.

After performing the division, we get the quotient x^2 + 7x + 54. Now, we can factor this quadratic expression by finding two numbers that multiply to 54 and add up to 7. These numbers are 6 and 9.

Thus, the factored form of the given polynomial is (x+9)^2(x+3)(x+6).

However, we can simplify this expression by noticing that (x+3) and (x+6) are also factors of (x+9)^2. Therefore, the final factored form of the given polynomial with a zero at -9 with multiplicity 2 is (x+3)^2(x+9)^2.

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Independent events are not affected by previous events, that is, the probability of a new event doesn't change from the previous event. However, disjoint sets mean they don't have any data in common, which means the intersection of such sets is impossible. In other words, the events are exclusive, if one occurs, then the other can't occur.

Having said that, we can deduct that scenario 1 represents an independent exclusive event because the occurrence of one event excludes the other. The main reason is that there's just one orange marble.

Answer:

1,3,4,5

Step-by-step explanation:

I cant see 8

The null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.

A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. The appropriate conclusion that the producers can draw is that they can fail to reject H, at a=0.05 but reject at a =0.01.

Hypothesis testing is a systematic procedure for selecting the best feasible hypothesis for a particular set of data. It is a decision-making method for statistical hypothesis testing of the validity of a statement regarding a population parameter.

The following are the hypothesis statements of the problem:

Hypothesis H0: p = 0.25 (Null Hypothesis)Hypothesis Ha: p ≠ 0.25 (Alternative Hypothesis)Hypothesis testing at α = 0.05 level of significance can be performed using the following formula:

Z= (p - Po) / [Po (1 - Po)/ n]Where, Po = 0.25p = (0.26+0.35)/2 = 0.305n = (Zα/2/ E)^2 = (1.96 / 0.04)^2 = 240.1Z = (0.305 - 0.25) / [0.25 (1 - 0.25)/ 240.1] = 3.18For a two-tailed test at α = 0.05, the Z critical values are Zα/2 = ±1.96.The Z value calculated (3.18) is greater than Z critical value (1.96).

Therefore, the null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.

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Answer:

SR = 17.56

Step-by-step explanation:

Formula = PR * RT = SR * RQ

60 * (4x - 26) = 38 * (2x - 1)

Solve for x

240x - 1560 = 76x - 38

164x = 1522

x = 9.28

Solve for SR

2x - 1

2(9.28) - 1

SR = 17.56

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔPQR is similar to the triangle ΔTSR. Then the ratio of the corresponding side will be constant.

SR / RQ = RT / PR

(2x - 1) / 38 = (4x - 26) / 60

(2x - 1) / 19 = (2x - 13) / 15

19(2x - 13) = 15(2x - 1)

Simplify the equation further, then we have

38x - 247 = 30x - 15

38x - 30x = 247 - 15

8x = 232

x = 232 / 8

x = 29

Then the length of the side SR will be given as,

SR = 2(29) - 1

SR = 58 - 1

SR = 57

The value of the variable 'x' is 29. Then the length of the side SR will be 57 units.

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To determine the equation for the exponential function modeled by the data, you need to identify the pattern and use regression analysis or logarithms. Please provide the data in the table, and I will help you find the equation.

Once we have the equation, we can use it to predict the approximate number of stores the retail chain will open in year 13. This is done by substituting the value of 13 into the equation and solving for the unknown variable.

To determine the equation for the exponential function modeled by the data, find the common ratio and use it to write the equation. To predict the number of stores in year 13, substitute the value into the equation.

To determine the equation for the exponential function modeled by the data in the table, we need to find the common ratio. The common ratio is the ratio of a term to its previous term. We can calculate the common ratio by dividing any term by the previous term. Once we find the common ratio, we can use it to write the equation of the exponential function. To predict the approximate number of stores the retail chain will open in year 13, we can substitute the value of 13 into the equation we found in question 1.

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To determine the equation for the exponential function modeled by the data, find the common ratio and use it to write the equation. To predict the number of stores in year 13, substitute the value into the equation.

To determine the equation for the exponential function modeled by the data in the table, we need to find the common ratio. The common ratio is the ratio of a term to its previous term. We can calculate the common ratio by dividing any term by the previous term. Once we find the common ratio, we can use it to write the equation of the exponential function. To predict the approximate number of stores the retail chain will open in year 13, we can substitute the value of 13 into the equation we found in question 1.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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Answer:

no

Step-by-step explanation:

12 squared plus 5 squared=169

The required algebraic expression is 11+0.50x which represents the total amount spent.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

We have been given that the fair charges are $11 to enter and $0.50 per ticket.

Let's assume variable "x" represents the cost per ticket.

According to the given situation, we can write the algebraic expression would be as:

⇒ 11 + 0.50x

Here $11 indicates the entrance charge.

Therefore, the required algebraic expression is 11+0.50x which represents the total amount spent.

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Answer:

Square root of 77.44 = height and length of gray squares = 8.8 cm

Since there are 3 squares that make up the height of that object 8.8 cm * 3 =

26.4 cm (the height of  3 gray squares

Square root of 4.84 = 2.2 cm

So the total height = 26.4 + 2.2 = 28.6 cm

Step-by-step explanation:

Answer:

Problem 1:  HI = 12.22

Problem 2:  AB = 16.23

Step-by-step explanation:

Problem 1:

tan = opposite / adjacent

HI = x

tan 42° = 11 / x

multiply both sides of the equation by x

x (tan 42°) = 11

divide both sides of the equation by tan 42°

x = 11 / tan 42°

tan 42° = 0.90 (given)

x = 11 / 0.90

x = 12.22

Problem 2:

cosine = adjacent / hypotenuse

cos 52° = 10 / c

multiply both sides by c

c (cos 52°) = 10

divide both sides by (cos 52°)

c = 10 / cos 52°

cos 52° = 0.616 (given)

c = 10 / 0.616

c = 16.23

Answer:

\(f(x) = 100(1.05)^t\)

Answer:

35 feet

Step-by-step explanation:

Pentagon- 5 sides

Each side = 7

5x7

=35

The perimeter is 35 feet

Hope this helps! :)