Find the value of X in this circle.

Answer:

64 cm³

Step-by-step explanation:

The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.

Volume = volume of smaller rectangular prism + volume of bigger rectangular prism

✔️Volume of smaller rectangular prism = L*W*H

L = 2 cm

W = 2 cm

H = 8 - 4 = 4 cm

V = 2*2*4

V = 16 cm³

✔️Volume of bigger rectangular prism = L*W*H

L = 6 cm

W = 2 cm

H = 4 cm

V = 6*2*4

V = 48 cm³

✔️Volume of the figure = 16 + 48 = 64 cm³

The relation represented by graph A can be stated as function.

Thus, option (A) is correct.

A) The graph have input values {-5, -4, 0, 3, 4, 7}

and, all input have distinct output values {7, 5, 0, -1, -5}.

So, the graph is function.

B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.

Here, the input value -6 have two distinct output 5 and 4.

C) The table is not function.

Here, the input value 15 have outputs 2 and 3.

and 20 have two distinct output as 4 and 5.

D) The graph is not function as using verticals line test the curve have two same input value with different output value.

Thus, option (A) is correct.

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Answer:

Step-by-step explanation:

40+40=3x+20(sum of two interior opposite angle is opposite to the exterior angle formed)

=80=3x+20

=80-20=3x

=60/3=x

=20=x

substitute the value of x

=3x+20

=3*20+20

=60+20

=80

v+71=107 degree(sum of two interior opposite angle is equal to the external angle formed)

=v=107-71

=v=36 degree

Answer:

I think the car's acceleration is 20 mph forward

Answer:

20m/s^2

Step-by-step explanation:

Acceleration is (Change in velocity÷change in time)

(20-0)÷ (1-0)

20

Step-by-step explanation:

uy6rhjf08yssyoludysyosyiwyeiwyowyiyiwywoyiw

Answer:

B is the answer trust me I already took the math.

Step-by-step explanation:

Answer:

First three terms:

22,24,26

There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.

Answers:

The first three terms are 21, 24, 29

5 terms of the sequence less than 50.

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

Explanation:

Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.

Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.

The third term is 29 through similar steps, but this time you use n = 3 of course.

The first three terms are 21, 24, 29

It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.

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

We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.

Or we could do a bit of algebra like so

n^2+20 < 50

n^2 < 50-20

n^2 < 30

sqrt(n^2) < sqrt(30)

n < sqrt(30)

On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.

We can see that,

This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.

Answer:

12

7

2

- 3

- 8

Step-by-step explanation:

f ( - 2 )

= 2 - 5 ( - 2 )

= 2 - ( - 10 )

= 2 + 10

= 12

f ( - 1 )

= 2 - 5 ( - 1 )

= 2 - ( - 5 )

= 2 + 5

= 7

f ( 0 )

= 2 - 5 ( 0 )

= 2

f ( 1 )

= 2 - 5 ( 1 )

= 2 - 5

= - 5 + 2

= - 3

f ( 2 )

= 2 - 5 ( 2 )

= 2 - 10

= - 10 + 2

= - 8

Answer:

Step-by-step explanation:

answer: 4 hours

The Journey will take 4 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The train will take one hour.

and, bus will take two and a half hours.

Also, half an hour to change between them.

So, the total time taken is

= 1 + 2.5+ 0.5

= 4 hours

Hence, the total hour is 4 hour.

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Answer:

4 x (1 x 4) = 16

Step-by-step explanation:

1 x 4 = 4

4 x 4 = 16

Answer:

3n^2 -24n+36

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Both Angles have the same value, as they are opposite angels.

Set your formula up as

5x+20=3x+60

5x=3x+60-20

2x=40

x=40/2

x=20

The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.

A test statistic is a numerical value calculated from sample data in hypothesis testing.

Given that

Sample 1: Store M

Sample size, [tex]n_1[/tex] = 35,

Sample mean, [tex]\bar{X_1}[/tex] = 300,

Standard deviation, [tex]s_1[/tex] = 40.

Sample 2: Store V

Sample size, [tex]n_2[/tex] = 40,

Sample mean, [tex]\bar{X_2}[/tex] = 290,

Standard deviation, [tex]s_2[/tex] = 35.

The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,

[tex]\mu_1 =\mu_2[/tex].

The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,

[tex]\mu_1 \neq\mu_2[/tex].

Under the null hypothesis, the test statistic is

[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]

  [tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]

Hence the test statistic is 1.145.

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Answer:

i don't understand the question please

Answer:

Step-by-step explanation:

1/12

Answer:

Betty = $600

Step-by-step explanation:

3/4 of Alice's salary is the same as 1/2 of Betty's salary

(3/4)a = (1/2)b

multiply both sides by 2

(3/2)a = b

Alice earns $200 less than Betty

b - a = 200

Substitute for b

(3/2)a - a = 200

(1/2)a = 200

multiply both sides by 2

a = 400

b = (3/2)400

b = 600

Answer:

f(5) = 100

Step-by-step explanation:

f(n) = 10•2n for n = 5

for n = 5 means we will plug in 5 for every instance of n.

f(5) = 10•2(5)

Multiply.

f(5) = 10•10

Multiply.

f(5) = 100

Hope this helps!

Answer:she has 20 pennies because

Step-by-step explanation:80 divide by 4 = 20

Answer: 40%

Step-by-step explanation:

Percentage of people that have red towels = 49%

Percentage of people that have blue towels = 11%

Therefore, the percentage of the people at the beach have white

towels will be:

= 100% - (49% + 11%)

= 100% - 60%

= 40%

Therefore, the answer is 40%.

Answer:

40%

Step-by-step explanation:

Just took the test

Answer:

45

Step-by-step explanation:

The two angles add to 90 degrees since they are a right angle

F + 45 = 90

F = 90-45

F = 45

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[tex]let ~b=8~m,h=6in[/tex]

[tex]SA=4(bh/2)+b^2[/tex]

[tex]=2(8)(6)+(8)^2[/tex]

[tex]=96+64[/tex]

[tex]=160in^2[/tex]

Answer:

The answer is "Choice D"

Step-by-step explanation:

Determining the information:

For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]",  [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:

For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X  not proper subset of[tex]X[/tex].  So, R does not havereflexive.

R does not have symmetry:

For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]"  is not true because [tex]X[/tex] not relate to [tex]Y[/tex].  So, R is not symmetric.

R does not have antisymmetric:

When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]

Therefore, R is anti-symmetric.

Answer:

7(3 - 2d)

Step-by-step explanation:

21 - 14d

7 is the lagerst common factor

7(3 - 2d)