Find f(g(x)) f(x)=2x-5 , g(x)=4x+3

Option A. Angle A = 46.8 degrees, side A C = 1.9 meters, Side A B = 3.7 meters satisfies the conditions of the problem: angle C is 90 degrees, angle B is 43.2 degrees, and side B C is 3.2 meters.

A right triangle is a type of triangle in which one of the angles is a right angle (90 degrees). The side opposite the right angle is called the hypotenuse and is typically the longest side of the triangle.

The other two sides are called the legs and are typically shorter than the hypotenuse. The Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs, applies to all right triangles

Therefore, the remaining options (b, c, and d) do not satisfy the conditions of the problem and therefore are not correct.

learn more about right triangle: https://brainly.com/question/2217700

#SPJ1

Answer:

y = \(\frac{1}{2}\) x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (- 2, 6 ) into the partial equation

6 = \(\frac{1}{2}\) (- 2) + c = - 1 + c ( add 1 to both sides )

7 = c

y = \(\frac{1}{2}\) x + 7 ← equation of line

Answer:

70 miles

Step-by-step explanation:

15 + 35 + (35 - 15) = 15 + 35 + 20 = 70

Answer:

XW = 134

Step-by-step explanation:

The fact that YZ bisects VW means that the angles VX and XW are supplementary, that is, they add to 180º. So

VX + XW = 180

We have that VX = 46. So

46 + XW = 180

XW = 134

Using these new values, we can calculate the new operating income as ($27.60 - $16) * 20,000 - $162,000 = $305,040. ABC Company has an operating income of $312,000 and a net income of $218,400.

The breakeven point is 7,200 units, representing the number of units needed to cover all fixed and variable costs. The company enjoys a margin of safety of 12,800 units, indicating the difference between actual sales and the breakeven point.

If the variable overhead is decreased by 10% to $2.70 per bowl and the selling price is reduced by 8% to $27.60 per bowl, the new operating income would amount to $305,040.

a. To calculate the operating income, we first need to calculate the total variable cost per bowl, which is the sum of direct labor, direct material, and variable overhead costs: $9.60 + $3.40 + $3.00 = $16.00. The total fixed cost is $162,000.

The selling price per bowl is $30. The expected units to be sold are 20,000. Therefore, the operating income is ($30 - $16) * 20,000 - $162,000 = $312,000. Considering a tax rate of 30%, the net income is $312,000 * (1 - 0.30) = $218,400.

b. The breakeven point is the number of units that need to be sold to cover all the costs. Using the formula: Breakeven Point = Total Fixed Costs / Contribution Margin per Unit, the breakeven point is $162,000 / $16 = 10,125 units.

c. The margin of safety is the difference between actual sales and the breakeven point. It is calculated as Actual Sales - Breakeven Point. In this case, the margin of safety is 20,000 units - 10,125 units = 12,875 units.

d. If the variable overhead is decreased by 10% and the selling price by 8%, the new variable overhead per bowl is $3.00 - (10% of $3.00) = $2.70, and the new selling price per bowl is $30 - (8% of $30) = $27.60.

Using these new values, we can calculate the new operating income as ($27.60 - $16) * 20,000 - $162,000 = $305,040.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Learn more about scale factors click;

https://brainly.com/question/29464385

#SPJ1

Answer:

use math papa

Step-by-step explanation:

Answer:

the answer is A because thats the answer

Answer:

B: 4^1

Step-by-step explanation:

The probability that at least one component does not function properly when 2 components are randomly selected from 8 is 1/4, or 0.25.

The total number of ways to select 2 components from 8 is:

C(8,2) = 8! / (2! (8-2)!) = 28

Now, let's find the probability that at least one component does not function properly. We can find this probability by subtracting the probability that both components function properly from 1.

The probability that the first component functions properly is 7/8, since there are 7 working components out of 8. The probability that the second component also functions properly, given that the first component does, is 6/7, since there are 6 working components left out of 7. Therefore, the probability that both components function properly is:

(7/8) * (6/7) = 6/8 = 3/4

So the probability that at least one component does not function properly is:

1 - 3/4 = 1/4

To learn more about probability please click on below link        

https://brainly.com/question/743546

#SPJ4

Quadrilaterals in the coordinate plane worksheet answer key. However, I can provide you with general information about quadrilaterals and their relationship to the coordinate plane. A quadrilateral is a polygon that has four sides, four vertices, and four angles.

Unfortunately, without the specific worksheet you are referring to, I cannot provide you with a direct answer to the Quadrilaterals in the coordinate plane worksheet answer key. However, I can provide you with general information about quadrilaterals and their relationship to the coordinate plane. A quadrilateral is a polygon that has four sides, four vertices, and four angles. The most common types of quadrilaterals are squares, rectangles, parallelograms, rhombuses, and trapezoids. These shapes can be identified in the coordinate plane by plotting their vertices using the x and y coordinates.
To plot a point in the coordinate plane, you use a pair of numbers, (x, y), where x is the horizontal distance from the origin, and y is the vertical distance from the origin. By plotting the vertices of a quadrilateral in the coordinate plane, you can determine its shape, size, and other properties.
When working with quadrilaterals in the coordinate plane, it is important to understand how to calculate the distance between two points using the distance formula and how to find the slope of a line. These skills will help you determine if a quadrilateral is a parallelogram, if its sides are parallel or perpendicular, and other important properties.
In summary, quadrilaterals in the coordinate plane involve plotting the vertices of the shape using x and y coordinates and using mathematical formulas to determine important properties such as distance and slope.

To know more about coordinate plane visit: https://brainly.com/question/28471473

#SPJ11

The politician's claim may be justified because the interval contains 0, indicating no difference in population proportions, but the presence of both positive and negative values within the interval suggests that there could still be a difference in support for the new traffic law between the two political parties.

Based on the given information, the politician's claim may be justified because the 95 percent confidence interval for the difference in population proportions (-0.010, 0.110) contains 0, indicating no difference in the population proportions. However, it is important to note that the interval also contains both positive and negative values, which suggests that there could potentially be a difference in the proportions of party members who support the new traffic law.

While the interval contains 0, which supports the politician's claim, the presence of positive and negative values suggests uncertainty. This means that it is possible for there to be a difference in support between the two political parties. Without further information or analysis, it is difficult to definitively conclude whether the claim is justified or not.

For more such questions on confidence interval

https://brainly.com/question/17097944

#SPJ8

Answer:

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

Area is the product of two dimensions, so the ratio of areas of similar figures is equal to the square of the scale factor k.

Hence the scale factor is:

Therefore the ratio of corresponding parts is:

If only two out of the five people show up for the meeting, it is possible in 10 different ways.

If five people plan to meet after school and there will be one group of five people if they all show up, but only two people show up, we need to determine the number of ways this can happen.

To find the number of ways two people can show up out of the five, we can use combinations. In a combination, the order of selection does not matter.

The number of ways to choose two people out of five can be calculated using the formula for combinations, denoted as "nCr", where n is the total number of people and r is the number of people we want to choose.

In this case, we want to choose 2 people out of 5, so the calculation would be:

5C2 = (5!)/(2!(5-2)!) = (5!)/(2!3!) = (5 \(\times\) 4)/(2 \(\times\) 1) = 10

Therefore, there are 10 possible ways for two people to show up out of the five if all of them plan to meet after school.

These 10 possibilities could be different combinations of any two individuals out of the five.

To determine the specific combinations, you can list all the pairs or use a combination formula calculator.

It's important to note that the order in which the two people show up does not matter, as long as they are two out of the five originally planning to meet.

For similar question on combinations.

https://brainly.com/question/4658834  

#SPJ8

Considering the definition of a line, the equation of the line that passes through the point (-7, 0) and has a slope of -1/6 is 1/6x + y= -7/6.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope m and the value of the point in the expression of a linear equation, the value of the ordinate to the origin b can be obtained:

0= -1/6×(-7) + b

0= 7/6 + b

0 - 7/6= b

-7/6= b

This is, the equation of the line is y= -1/6x -7/6. Written in the form Ax+By= C, the equation of the line is 1/6x + y= -7/6.

Learn more about equation of a line:

brainly.com/question/20842634

#SPJ4

Answer: 10g/mL I hope this helps answer your question

The strengths of this study design are:1. Randomization: It is the method of randomly assigning patients to either experimental or control groups. Randomization guarantees that groups would be equal in every respect except for the variable that is being studied.2. Placebo Control: A placebo control group makes it possible to identify the difference between the true effect of the treatment and the effect of other variables that are not being tested.3. Double-blind: When an experiment is double-blind, the experimenter and the patient do not know which group is which. This is important since experimenter bias and expectancy effects can be controlled in the study.

Jonas Salk conducted a large-scale controlled experiment involving over 400,000 children in 1954 to test the effectiveness of a polio vaccine. Children in the control group were injected with salt water (a placebo), while children in the experimental group were injected with the polio vaccine. Every test subject was followed for six months, and the experiment was double-blind, meaning that neither the participants nor the researchers knew to which group each child was assigned.Jonas Salk's primary goal in conducting the vaccine trial was to reduce the number of polio infections in the United States. Polio had become a major public health issue, with thousands of children being infected each year. The vaccine trial's outcomes confirmed the effectiveness of the vaccine, and it became one of the most important scientific breakthroughs in modern medicine.

To know more about Randomization refer here:

https://brainly.com/question/30841295

#SPJ11

Answer:

all 4 meals equal $20.95

Step-by-step explanation:

4 sandwiches = $2.59 each

4 hashbrowns = $1.10 each

4 orange juice = $1.25 each

sales tax = 6%

now you have two options you could either add all of the one meal prices together or you could do how much it would cost for the each individually

adding one meal

2.59 + 1.10 + 1.25 = 4.94

4.94 x 4 = 19.76

adding all the items individually

2.59 x 4 = 10.36

1.10 x 4 = 4.40

1.25 x 4 = 5.00

10.36 + 4.40 + 5.00 = 19.76

now if the sales taxes

19.76 x 0.06 = 1.19

now sales taxes plus all the items

19.76 + 1.19 = 20.95

Answer:

AC = 127,26 f    distance from home plate to second base

Step-by-step explanation:

Let call  A , B , C  Home plate,  first base and second base respectively

These three point form a right triangle with legs ( AB  = BC = 90 feet)

we have an isosceles triangle with a right angle and two angles of 45⁰

So we need to compute distance AC (hypotenuse)

AC²  =  AB² + BC²    ⇒  AC²  = 2AB²   ⇒ AC = AB √2

AC = 90 * 1,414

AC = 127,26 f

The distribution of -5X₁ and 2X₂, where X₁ and X₂ are independent normal random variables, is also a normal distribution.

When we multiply a normal random variable by a constant, it affects the mean and standard deviation of the resulting distribution.

In this case, we have -5X₁ and 2X₂, where X₁ and X₂ are independent normal random variables.

For -5X₁, the mean becomes -5 times the mean of X₁, and the standard deviation becomes 5 times the standard deviation of X₁.

Similarly, for 2X₂, the mean becomes 2 times the mean of X₂, and the standard deviation becomes 2 times the standard deviation of X₂.

Since the mean and standard deviation determine the shape of the normal distribution, the distribution of -5X₁ and 2X₂ will still be a normal distribution.

However, the mean and standard deviation will be adjusted according to the multiplication factors.

Learn more about standard deviation

brainly.com/question/13498201

#SPJ11

Answer:

.80

Step-by-step explanation:

P(1) = .20, so P(2 < x < 4) = 1 - P(1)

= 1 - .20 = .80

Answer:

\(\frac{1}{2}\)

Find the least common factors of both numbers.

\(1/3~has~4\\2/12~has~1\)

Multiply the numerator and denominator.

\(\frac{1 * 4}{3 * 4} = \frac{4}{12} \\\\\frac{2 * 1}{12 * 1} = \frac{2}{12}\)

Add both numbers together. That does not mean you have to add the denominators. When the denominators are the same, keep them the same.

\(\frac{4}{12} +\frac{2}{12} = \frac{6}{12}\)

Simplify.

\(\frac{6}{12} -- > \frac{1}{2}\) because they are both halves.

Part I: Determining the common denominator of the terms

Given expression:

\(\dfrac{1}{3} + \dfrac{2}{12}\)

To simplify the expression, we need to determine the common denominator of both fractions (1/3 and 2/12). To determine the common denominator of both fractions, we need to determine the LCM of the denominators (12 and 3). Simply write the multiples of (12 and 3) and determine the least common multiple (LCM).

Since the LCM is 12, our common denominator is 12.

Part II: Multiplying both denominators by a number which is equivalent to 12

Now, multiply both denominators by a number such that the denominators are equivalent to 12. Keep in mind that the number you multiply the denominator should also be multiplied to the numerator.

\(\implies \dfrac{x}{3x} + \dfrac{2y}{12y} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}3x = 12; 12y = 12\huge\text{]}\)

\(\implies \dfrac{4}{3(4)} + \dfrac{2(1)}{12(1)} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \huge\text{[}x = \dfrac{12}{3} = 4; y = \dfrac{12}{12} = 1 \huge\text{]}\)

\(\implies \dfrac{4}{12} + \dfrac{2}{12}\)

Part III: Adding the fractions

Since the denominators are the same, we can now add the fractions;

\(\implies \dfrac{6}{12}\)

Part IV: Simplifying the fraction obtained from the above

Since 6 is divisible by 12, we can further simplify the fraction.

\(\implies \dfrac{6 \times 1}{6 \times 2}\)

\(\implies \boxed{\dfrac{1}{2}}\)

The amount for the fencing cost  is $903. 36

From the information given, we have that the shape of the garden is  semi -circle.

Now, the formula that is used for calculating the circumference of a semicircle is expressed as;

C = πr + 2r

Given that the parameters of the equation are;

From the information given,

Substitute the values, we have;

Circumference = 3.14(19) + 2(19)

expand the bracket

Circumference = 59. 66 + 38

Add the values

Circumference = 97. 66 feet

Then,

if 1 feet = $9.25

Then, 97. 66 feet = x

x = $903. 36

Learn more about circumference at: https://brainly.com/question/20489969

#SPJ1

Answer:  1/3 and -3/2

Brainlist please?

Step-by-step explanation:

Answer:

C. a = 3

b = 7

c = -20

Step-by-step explanation:

x = -b+/- (sq) b^2 - 4ac.

Well the way to plug the numbers in is by using this equation: Ax^2 + Bx + C = 0

S if you use your equation : 3x^2 = 20 - 7x

First you have to move everything to one side.

So it'll look like this:

3x^2 = 20 - 7x

-20      -20

3x^2 - 20 = -7x

+7x  +7x

3x^2 - 20 + 7x = 0

don't forget that... Ax^2 +Bx+ C= 0

3 = A

7 = B

-20 = C

Answer: The grade of the hill = 50%

Step-by-step explanation:

The grade is the slope( expressed as a percent). To evaluate the slope we divide the rise by the run.

Given: A hill on a hiking trail goes up to 69 feet over a distance of 138 feet.

So, rise= 69 feet   , run = 138 feet.

The grade of the hill = \(\dfrac{rise}{run}\times100\)

\(=\dfrac{69}{138}\times100=50\%\)

Hence, the grade of the hill = 50%

Answer:

5

Step-by-step explanation:

(0.000064)^5/6 divided by (0.00032)^6/5

(0.00032)^6/5=(0.000064)

and

(0.000064)^6/5=(0.00032)

so now we have (0.00032) divided by (0.000064)

which is 5!

hope this helps!

Answer: yes

Step-by-step explanation: no

The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

Read more about algebraic equations here:

https://brainly.com/question/2164351

#SPJ1

Consider the below figure attached with the question.

Given:

m∠DBC = (12x - 3), m∠DBE = (5x + 12), m∠EBC = (3x + 13).

To find:

The measure of ∠EBC.

Solution:

From the figure, it is clear that,

\(m\angle DBC-m\angle DBE=m\angle EBC\)

Putting the given values, we get

\((12x-3)-(5x+12)=(3x+13)\)

\(12x-3-5x-12=3x+13\)

\(7x-15=3x+13\)

\(7x-3x=15+13\)

\(4x=28\)

Divide both sides by 4.

\(x=7\)

Now,

\(m\angle EBC=(3x+13)^\circ\)

\(m\angle EBC=(3(7)+13)^\circ\)

\(m\angle EBC=(21+13)^\circ\)

\(m\angle EBC=34^\circ\)

Therefore, the measure of angle EBC is 34 degrees.