What is the solution to the following equation?
X/3 - 14 = -2

Answer:

{ 1,3,5,7,10,15}

Step-by-step explanation:

The union means join together, or all the elements of both sets

{1, 5, 10, 15} U {1, 3, 5, 7}

= { 1,3,5,7,10,15}

Answer:

Step-by-step explanation:

Union of two sets contains the elements that belongs to A set or B set or both

A= {1,5,10, 15}

B ={1,3,5,7}

A U B = {1,3,5,7,10,15}

Answer:

B

Step-by-step explanation:

table B: because when x increases y increases at the same rate and stay the same . the graph has proportional relation when it is a straight line passes through origin

for B :25/20=30/24=40/32=5/4

y=5/4 x

Answer:

The correct answer is B.

Step-by-step explanation:

Giving the following information:

Job:

Direct materials= $2,000

Direct labor= $400

Machine-hours= 900 mh

Company:

Manufacturing overhead costs $45,000

Machine-hours 100,000 mh

Selling price= 40% markup of total manufacturing costs

First, we need to calculate the predetermined overhead rate to allocate overhead:

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= 45,000/100,000

Predetermined manufacturing overhead rate= $0.45 per machine hour

Now, we can calculate the total cost and the selling price:

Total cost= 2,000 + 400 + 0.45*900= $2,805

Selling price= 2,805*1.4= $3,927

Answer:

see explanation

Step-by-step explanation:

Given

16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex] ← factor out 16 from each term

= 16([tex]y^{4}[/tex] - 16[tex]x^{12}[/tex] ) ← difference of squares which factors in general as

a² - b² = (a - b)(a + b), thus

[tex]y^{4}[/tex] - 16[tex]x^{12}[/tex]

= (y² )² - (4[tex]x^{6}[/tex] )²

= (y² - 4[tex]x^{6}[/tex] )(y² + 4[tex]x^{6}[/tex] )

Now y² - 4[tex]x^{6}[/tex] ← is also a difference of squares

= y² - (2x³)²

= (y - 2x³)(y + 2x³)

Thus

16[tex]y^{4}[/tex] - 256[tex]x^{12}[/tex]

= 16(y - 2x³)(y + 2x³)(y² + 4[tex]x^{6}[/tex] )

Answer:

Step-by-step explanation:

4y^2+16x^6, 2y, 4x^3, 2y, 4x^3

Answer:

Step-by-step explanation:

18 : 2/3

can also be written as 18 / 2/3 = 18 × 3/2

= 27

Hope it helps

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Answer:

A=0.25

B=0.35

C=1.05

Step-by-step explanation:

1. A+B=0.6

2. A+C=1.3

3. C=3B

2 subtract 1:

3 substituted:

-- This is a right triangle. So you KNOW that

(one leg)² + (other leg)²  =  (hypotenuse)²

-- Also, since the acute angles are equal, the legs must be equal ... both x .

-- Plugging into the formula:

x² + x² = (4)²

2x²  =  (4)²

2x²  =  16

x²  =  8

√x²  =  √8

x  =  √8

x = √(4 · 2)

x = √4  ·  √2

x  =  2 · √2

(That's choice D)

Answer:

(4, 26)

(-6, -24)

Step-by-step explanation:

Step 1: Substitution

5x + 6 = x² + 7x - 18

Step 2: Move everything to one side

0 = x² + 2x - 24

Step 3: Factor

(x - 4)(x + 6) = 0

Step 4: Find roots

x = 4, -6

Step 5: Plug in x to find y

y = 5(4) + 6

y = 20 + 6

y = 26

y = 5(-6) + 6

y = -30 + 6

y = -24

Answer:  The value of m = 10.

Step-by-step explanation:

Given points, (1,5), (9,85), (2,10), (6,38), (4,3), (12,107), (7,64), (12,86), (7,47), (9,64), (4,27)

Each point is represented in the form (x,y).

The line is in the form[tex]y=mx+b[/tex], where m is the rate of change of y with respect to x.

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Take [tex]x_1=1\ \ , y_1=5;\ \ x_2=9,\ \ y_2=85[/tex]

Then,

[tex]m=\dfrac{85-5}{9-1}\\\\=\dfrac{80}{8}=10[/tex]

Hence, the value of m = 10.

Answer:

9.15

Step-by-step explanation:

I just took the test Hope this helped :D

Answer: 16

Step-by-step explanation:

4 * 4 = 16

Answer: 7/100

Step-by-step explanation:

In this question, ignore the 8 and the 3 and focus on the 7.  Isolate it and you will get 0.07.  0.07 in fraction from is 7/100.

The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Given the decimal,

0.873

8 → Tenth place (Fraction value 8/10)

7 → Hundredth place(Fraction value 7/100)

3 → Thousandth place (Fraction value 3/1000)

Since 7 is at hundredth place thus it will be 7/100.

Hence "The place value of 7 in the decimal number 0.873 is in the hundredth place thus it will be 7/100 or 0.07".

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Answer:

x = -1, y = 7

Step-by-step explanation:

8x + 3y = 13

3x + 2y = 11

Multiply the first equation by -2 and the second equation by 3. Then add them.

     -16x - 6y = -26

(+)     9x + 6y = 33

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

       -7x         = 7

x = -1

Now substitute x = -1 in the first original equation and solve for y.

8x + 3y = 13

8(-1) + 3y = 13

-8 + 3y = 13

3y = 21

y = 7

Answer: x = -1, y = 7

Answer:

140 units3

Step-by-step explanation:

The  volume of the prism below is 420 cubic units.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The prism is a three-dimensional shape that has base area, and height. The volume of a prism is equal to the product of base area and height of a prism.

The volume of the prism= B×H

Where, B is base area of prism, and H is height of prism.

Given that,

Length of  prism (L) = 12 centimeters

Width of prism(W) = 14 centimeters

B=1/2×12×5

=30

Now volume of prism = 30×14

=420 cubic units

Hence, the  volume of the prism below is 420 cubic units.

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Answer:

Hello There. ♡ The correct answer is: f(x) = -|x-1|

The parent function is f(x) = |x|

Then the function is reflected over the x-axis, so the f(x) will become -f(x)'. The function will become: 

f(x) = -|x| 

-f(x)' = |x|

 f(x)' = -|x|

After that, the function is translated 1 unit to the right. That mean x will become x'-1. The function will become: 

 f(x) = -|x|

 f(x) = -|(x'-1)|

 f(x) = -|x'-1|

Hope It Helps! :)

ItsNobody~ ♡

Answer:

its b on edge  2020

Step-by-step explanation:

Option  A.) Picture 1 is correct

in the problem inequality y ≤ 2x − 4 is given
Right graph for boundary line has been asked.

Inequality can be defined as the relation of the equation contains the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

For the boundary line
y ≤ 2x − 4  this equation transform into
y= 2x-4
above equation is the boundary condition for the given inequality
so in picture one the the dotted line shows the information of equation
y= 2x-4.

Thus, the boundary condition for inequality y ≤ 2x − 4 is in picture 1

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Answer:

33% probability that a man in this age group is under 180 pounds

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

[tex]\mu = 202.3, \sigma = 50.7[/tex]

Find the probability that a man in this age group is under 180 pounds if it is known that the distribution is approximately normal.

This is the pvalue of Z when X = 180.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 202.3}{50.7}[/tex]

[tex]Z = -0.44[/tex]

[tex]Z = -0.44[/tex] has a pvalue of 0.33

33% probability that a man in this age group is under 180 pounds

Answer: -8

Step-by-step explanation: If he scored -2 four times then his score would be -8 (-2×4).

Answer:

3.072km

Step-by-step explanation:

[tex]3072m*(\frac{1km}{1000m} )=3.072km[/tex]

Answer:

D

Step-by-step explanation:

The Triangle Inequality states that the sum of the two largest side lengths of a triangle must be greater than the length of the largest side. Let's check these answers.

A: Since 18 + 26 > 46 is a false statement, A is not the answer.

B: Since 18 + 26 > 49 is false, B is not the answer.

C: Since 18 + 6 > 26 is false, C is not the answer.

D: Since 18 + 26 > 32 is false, D is the answer.

Answer:

since ab=18 and bc= 26 and if u draw out the shape and write them down u would mostly get d but I not too sure is d that the best I can do

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A={6,11,16,...,76}

a=6,d=11-6=5

[tex]a_{n}=a_{1}+(n-1)d\\76=6+(n-1)5\\76-6=(n-1)5\\n-1=70/5=14\\n=14+1=15[/tex]

so the cardinal number is 15

Answer:

14.5 pounds of apples.

Step-by-step explanation:

$3.77 ÷ $.26 = 14.5

Apples = 14.5 pounds

Hope this helps! :)

Answer:

In terms of construction, copying a line segment and an angle requires a fixed compass width as a basic tool

Step-by-step explanation:

The basic similarity is in both constructions, or copies is that we are going to use the same compass width in each case as the basic tool to copy a line segment or an angle.

hope this helpes

be sure to give brainliest

Answer:

An angle is form by two rays and the two line segment share a common points and we utilize a straightedge for drawing the comparative figure on paper.

At that point, utilize the straightedge and the compass used to copy this type of figure precisely. To duplicate the given figure, we should copy line as well as angle.

The line of segment are basically formed by adjusting the compass and makes it equal to the line segment length and then copy each point in the figure.

Answer:

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Step-by-step explanation:

For a confidence level given c, we can find the significance level like this:

[tex] \alpha=1 -c[/tex]

And with the degrees of freedom given by:

[tex] df=n-1[/tex]

We can find the critical value [tex]t_{\alpha/2}[/tex]

And for this case if the confidence increase the critical value increase so then this statement is True

Answer:

2.10% probability that the group will consist of all Republicans.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the members are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

4 republicans from a set of 6.

[tex]D = C_{6,4} = \frac{6!}{4!2!} = 15[/tex]

Total outcomes:

4 members from a set of 6 + 7 = 13.

[tex]T = C_{13,4} = \frac{13!}{4!9!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{15}{715} = 0.021[/tex]

2.10% probability that the group will consist of all Republicans.

Answer:

a

Step-by-step explanation:

the pythagorean theorem suggests it

Answer:

Answer B is the correct one: a curved line that can be increasing or decreasing.

Step-by-step explanation:

Exponential functions are one-to-one functions, which means that cannot have a U shape. Also, they are not a straight line, since they grow of decrease exponentially (based on a fixed numerical base with the variable as the exponent) They can represent exponential growth showing a curve with increasing values as we move from left to right, or can represent exponential decay showing a curve with decreasing values as we move from left to right.

Answer: 7 years

Step-by-step explanation:

From the formula A = P(1+(r/100))^t we have

5089.12 = 4000 (1+(3.5/100))^t

=> 1.27228 = (1.035)^t

Using calculator we find that 1.035^7 gives 1.272279

Hence in 7 years $4000 will grow to $5089.12 if it’s invested at 3.5%

Answer:

C. 2y = -12

Step-by-step explanation:

Well a function is when all x values have only one corresponding y value and on a graph we can use the vertical line test and in doing so we know that the answer is C. 2y = -12

Answer:

Step-by-step explanation:hi

Answer:

  A. Show that the diagonals form two congruent triangles using the definition of a rhombus and geometric properties. Then, use CPCTC (corresponding parts of congruent triangles are congruent) to show that the opposite interior angles are bisected.

Step-by-step explanation:

Answer choice A is the only one that applies specifically to a rhombus.

The other answer choices are true of triangles and vertical angles in general. They do not relate specifically to the problem at hand.