The sum of two whole numbers is 84, and their positive difference is 18.What are the two numbers? Please help

Answer:

69.1 cm

Step-by-step explanation:

Circumference of a circle

c = 2πr

Half of that would be a semi-circle

c = πr

c = π * 22

c = 69.115038379

Rounded

69.1 cm

9514 1404 393

Answer:

  A, D, E

Step-by-step explanation:

You can try the answer choices in the inequality to see which make it true.

  a. -2·1 -2 = -4 ≥ -4 . . . . TRUE (1, -2)

  b. -2·0 -5 = -5 ≥ -4 . . . false

  c. -2·3 -1 = -7 ≥ -4 . . . false

  d. -1·0 +1 = 1 ≥ -4 . . . . TRUE (0, 1)

  e. -2·(-1)+1 = 3 ≥ -4 . . . . TRUE (-1, 1)

Answer:

ok

Step-by-step explanation:

please mark me brainleast

Answer:

[tex]volume \: of \: the \: rectriangular \: prism = ( \frac{1}{2} \times base \times 4) \times 2 \\ 4 \times base = 40 \\ base = 10m[/tex]

Answer:

length = 15 meters

Step-by-step explanation:

Volume of a pyramid is:

V = l*w (h/3)

We know that; Volume is 40, Width is 2, and Height is 4, therefore;

40 = l*2 (4/3)

40 = 2l (4/3)

(3/4) * 40 = 2L

30 = 2L

30/2 = L

15 = L

therefore the length = 15 meters

Hope this helps!

Answer:

[tex]y=-5x-6[/tex]

Step-by-step explanation:

Hi there!

In [tex]y=mx+b[/tex], m is the slope of the line and b is the y-intercept (the value of y when x is 0). y and x remain the same but m and b are replaced with numbers.

Given that the slope is -5, plug it into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

Now, to solve for b, plug in the given point (-2,4):

[tex]4=-5(-2)+b\\4=10+b[/tex]

Subtract 10 from both sides to isolate b:

[tex]4-10=10+b-10\\-6=b[/tex]

Therefore, the y-intercept of this line is -6. Plug this back into [tex]y=-5x+b[/tex] as b:

[tex]y=-5x-6[/tex]

I hope this helps!

Answer:

Mean will be affected.

Step-by-step explanation:

The mean value of the data set will be affected as it depends on the magnitude of data points and not its position. The median however will not change since it depends on the relative position of data points.

Answer:

Step-by-step explanation:

angle P=angle R(being vertically opposite angle)

angle P=38 degree

angle P + angle Q=180 degree(given they are supplementary angles)

38 + angle Q=180

angle Q=180-38

angle Q=142 degree

[tex]\boxed{17}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Substituting the values of a, b and c in the expression, we have

[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

17 ( See image below:)

Step-by-step explanation:

you substitute what a is which is 3

then b=4

then c=6

so

3^3-(4+6)

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Options for the question:

a. one mean

b. comparing means from dependent samples

c. comparing means from 2 independent samples

d. one proportion e. comparing proportions from 2 independent samples

f. comparing proportions from dependent samples

Answer:

b. comparing means from dependent samples

Explanation:

The samples are dependent as same individuals are sampled over the months(August and November). Therefore individuals sampled in August will likely show some of the same traits in November. Also we are comparing means since we are working with mean of alcohol consumed for each period and then comparing with another period/months.

Answer:

There are 5,827,360 different outcomes.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In each party:

The order in which the people are selected is important(first is chair, second vice chair), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

Reds:

Two from a set of 44. So

[tex]P_{(44,2)} = \frac{44!}{(44-2)!} = 44*43 = 1892[/tex]

Blues:

Two from a set of 56. So

[tex]P_{(56,2)} = \frac{56!}{(56-2)!} = 56*55 = 3080[/tex]

How many different outcomes are there for the chair and vice chair elections of both parties?

Considering both, by the fundamental counting principle:

1892*3080 = 5827360

There are 5,827,360 different outcomes.

Answer:

See Explaination

Step-by-step explanation:

According To Question

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

y+2 = 2^(x+4) which is (h)

Answer:

22.5

Step-by-step explanation:

Inscribed Angle =1/2 Intercepted Arc

F = 1/2 (45)

<F = 22.5

Answer:

x=9^6

Step-by-step explanation:

convert the logarithm into exponential form using the fact that loga (x)=b is equal to x=a^b

x=9^6

Answer:

Step-by-step explanation:

250/50=50miles per hour

Answer:

C. AA

Step-by-step explanation:

AA or angle - angle similarity is a principal which states that if triangles have two congruent sets of angles, then they are similar.

Answer:

independent and explanatory

Step-by-step explanation:

In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.

Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.

Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.

Answer:

The area of the living room is 20x20 or 400 square feet

the area of the dining room is 15x10 or 150 square fee

The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting

Hope that helps :)

Have a wonderful day!

Answer:

the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting

Step-by-step explanation:

Answer:

66.32

Step-by-step explanation:

Hello!

[tex]\large\boxed{66.32 m}[/tex]

We are given the area, so we can solve for the width given the length:

A = l × w

Thus:

272.4 = 15 × w

w = 18.16 m

The perimeter of a rectangle can be calculated using this equation:

P = 2l + 2w

Therefore:

P = 2(15) + 2(18.16)

P = 30 + 36.32 = 66.32m

Answer:

A is the Far Left

B is the Base

C is the Hypotenuse

Step-by-step explanation:

Interpretation

Answer:

Angle BAC corresponds with side length BC

Side length AC will correspond with angle ABC

Step-by-step explanation:

In a triangle, the side length will correspond to the angle opposite it and vice versa.

That is, the side length opposite angle A corresponds to the side of Angle A

Hence, in the triangle given above ;

Angle BAC corresponds with side length BC, because BC is opposite BAC

Side length AC will correspond with angle ABC, because AC is directly opposite angle ABC.

Answer:

a) 1/2

b) 9/40

Step-by-step explanation:

Given

Total number of families living in Willbrook Farms Development = 20

Number of families preparing their own federal income taxes for last year = 10

Number of families for which taxes were prepared by a local professional = 7

Number of families for which taxes were prepared by H&R Block = 3

a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2

b) The probability of selecting two families, both of which prepared their own taxes

10/20 * 9/20 = 9/40

Answer:

[tex]2[/tex]

Step-by-step explanation:

Given:

[tex]-2(1-4x)=3x+8[/tex]

Let's distribute the parenthesis

[tex]-2+8x=3x+8[/tex]

Let's subtract [tex]-3x[/tex] from both sides

[tex]-2+5x=8[/tex]

Let's add [tex]2[/tex] to both sides

[tex]5x=10[/tex]

Now, let's divide both sides by [tex]5[/tex] to get [tex]x[/tex] alone

[tex]x=2[/tex]

Hope this is helpful

Step-by-step explanation:

How to solve your problem

−2(1−4)=3+8

-2(1-4x)=3x+8−2(1−4x)=3x+8

Solve

1)

Rearrange terms

−2(1−4)=3+8

-2({\color{#c92786}{1-4x}})=3x+8−2(1−4x)=3x+8

−2(−4+1)=3+8

-2({\color{#c92786}{-4x+1}})=3x+8−2(−4x+1)=3x+8

2)

Distribute

−2(−4+1)=3+8

{\color{#c92786}{-2(-4x+1)}}=3x+8−2(−4x+1)=3x+8

8−2=3+8

{\color{#c92786}{8x-2}}=3x+88x−2=3x+8

3)

Add 

2

22

 to both sides of the equation

8−2=3+8

8x-2=3x+88x−2=3x+8

8−2+2=3+8+2

8x-2+{\color{#c92786}{2}}=3x+8+{\color{#c92786}{2}}8x−2+2=3x+8+2

4)

Simplify

Add the numbers

Add the numbers

8=3+10

8x=3x+108x=3x+10

5)

Subtract 

3

3x3x

 from both sides of the equation

8=3+10

8x=3x+108x=3x+10

8−3=3+10−3

8x{\color{#c92786}{-3x}}=3x+10{\color{#c92786}{-3x}}8x−3x=3x+10−3x

6)

Simplify

Combine like terms

Combine like terms

5=10

5x=105x=10

7)

Divide both sides of the equation by the same term

5=10

5x=105x=10

55=105

\frac{5x}{{\color{#c92786}{5}}}=\frac{10}{{\color{#c92786}{5}}}55x=510

8)

Simplify

Cancel terms that are in both the numerator and denominator

Answer:

2 feet

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length.

Plug in 8 as V, and solve for s:

V = s³

8 = s³

Take the cubed root of each side:

2 = s

So, the length of each side is 2 feet.

Answer:

[tex]2 feet[/tex]

The Solution is:

Use the cube volume formula, V = s³, where s is the side length.

Plug in 8 as V, and solve for s:

V = s³

8 = s³

Take the cubed root of each side:

2 = s

So, the length of each side is 2 feet.

Answer:

Volume of a cone = ⅓volume of a cylinder

Answer:

(60.382 ; 83.998)

Step-by-step explanation:

The confidence interval is given as :

Mean ± Margin of error

Mean = 72.19

The margin of error is : Tcritical * s/√n

n = 13 ; s = 15.88

Tcritical at 98%, df = 13-1 = 12 = 2.681

Margin of Error = 2.681 * 15.88/√13 = 11.808

Confidence interval = 72.19 ± 11.808

(60.382 ; 83.998)

Answer:

umm sorry but you haven't given the examples yet!!