Write the first 4 terms of the arithmetic sequence. The first term is - 1 and the
common difference is 3.

Answer:

d. 27 cubic feet

Step-by-step explanation:

volume of cube = s^3 = B * s

volume of pyramid = (1/3) * B * h

The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.

volume of pyramid = 9 cu ft

volume of cube = 3 * 9 cu ft = 27 cu ft

Answer: d. 27 cubic feet

Answer:

27 ft^3 (Answer d)

Step-by-step explanation:

Here the volume of the pyramid is (1/3) the volume of the cube:

Letting s represent the length of one side of the base,

(1/3)(s)^2(s) = 9 ft^3, equivalent to  s^3 = 27.

Solving for s, we get s = 3 ft.

Thus, the volume of the cube is V = s^3 = (3 ft)^3 = 27 ft^3 (Answer d)

Answer:

I've attached a graph with this, that's your answer

Answer:

[tex]t \: = 3.92 \: sec[/tex]

Step-by-step explanation:

When (t =0)

Height of cliff = 248 feet = 75.5m

Using Newton's equations of motion:

[tex]s = ut + \frac{1}{2} a {t}^{2} [/tex]

75.5 = 0 * t + 4.9 * t^2

Solving further :

[tex]t \: = 3.92 \: sec[/tex]

Answer:

there are many types of polyhedron.

Basically about which one you want to know?

Step-by-step explanation:

Pentahydron. A polyhedron with 5 faces.

Hexahyderon. A polyhedron with 6 faces.

HeptahyderonA polyhedron with 7 faces.

Octahyderon. A polyhedron with 8 faces.

Similarly there are three more...

Please tell me if it was helpful to you.

If not, then ask me again..

Answer: 25 cm

Step-by-step explanation: 6 meters = 600 cm

600 / 24 = 25

Answer:

11/(x + 1) thus d: is the answer

Step-by-step explanation:

Simplify the following:

(11 (x + 8))/((x + 1) (x + 8))

(11 (x + 8))/((x + 1) (x + 8)) = (x + 8)/(x + 8)×11/(x + 1) = 11/(x + 1):

Answer: 11/(x + 1)

Answer:

4

Step-by-step explanation:

if x+2 is a factor of the above expression then,

x=-2

so putting the value of x in above expression we get,

(-2)^3+2×(-2)^2+2×(-2)+k=0

or,-8+8-4+k=0

k=4

Answer:

Step-by-step explanation:

If (x + 2) is a factor of a polynomial then ( - 2 ) is the zero of that polynomial ⇒ ( - 2 )³ + 2( - 2 )² + 2( - 2 ) + k = 0 ⇒ k = - 4

Answer:

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Step-by-step explanation:

The null and alternative hypothesis are given by

H0: σ₁²= σ₂² against Ha: σ₁² ≠ σ₂²

Confidence interval for the population mean difference is given by

(x`1- x`2) ± t √S²(1/n1 + 1/n2)

Where S ²= (n1-1)S₁² + S²₂(n2-1)/n1+n2-2

Critical value of t with n1+n2-2= 50+ 35-2= 83 will be -1.633

Now calculating

S ²=34* (12.8)²+ (14.6)²*49/83= 192.96

Now putting the values in the t- test

(75.1 -72.1) ± 1.633 √ 192.96(1/35 +1/50)

=3 ±  5.09

=-2.09, 8.09  is the 90 % confidence interval for the difference

The 90 % confidence limits are (-2.09, 8.09).

Since the calculated values do not lie in the critical region we accept our null hypothesis.

Answer:

1,2,5

A,B,E

Intelligence

Study habits

Work schedule

ED2021

Intelligence and study habits could be mitigated by random assignments.

Options A and B are the correct answer.

Random assignment refers to the process of randomly assigning participants to either the treatment or control group in an experiment.

We have,

Random assignment is done to minimize the effect of extraneous variables, such as intelligence and study habits, that could potentially affect the results of the experiment.

By randomly assigning participants to either the treatment or control group, the differences between the two groups are assumed to be due to chance alone.

Variables such as the professor, course textbook, and work schedule are not affected by random assignments.

These variables are considered to be controlled variables that are held constant across both the treatment and control groups.

Thus,

Intelligence and study habits could be mitigated by random assignments.

Learn more about random assignments here:

https://brainly.com/question/26377187

#SPJ3

Answer:

12 feet

BRAINLIEST, PLEASE!

Step-by-step explanation:

Area = base x height

60 = base x 5

base = 60/5

base = 12

To convert [tex]24.123[/tex] in base 8, also notated with [tex]24.123_8[/tex] into base 10 simply multiply each digit with 8 to the power of its position relative to the decimal point.

So,

[tex]24.123_8=2\cdot8^1+4\cdot8^0+1\cdot8^{-1}+2\cdot8^{-2}+3\cdot8^{-3}=20.162109375_{10}[/tex]

Hope this helps :)

Answer:

80

Step-by-step explanation:

15 percent of 80 is 12

and 12 is 60 percent of 80!

hope this helps :)

Answer:

Need more explation of the question

Step-by-step explanation:

Hello!

Answer:

[tex]\huge\boxed{\frac{12}{20}}[/tex]

To find the numerator and denominator, we can set up a proportion where:

x = denominator

x -8 = numerator

[tex]\frac{3}{5} = \frac{x-8}{x}[/tex]

Cross multiply:

[tex]3(x) = 5(x - 8)[/tex]

[tex]3x = 5x - 40[/tex]

Simplify:

[tex]3x - 5x = -40\\\\-2x = -40\\\\x = 20[/tex]

Substitute in this value of x to find the numerator and denominator:

[tex]\frac{(20) - 8}{(20)} = \frac{12}{20}[/tex]

Hope this helped you! :)

[tex] \LARGE{ \boxed{ \rm{ \orange{ Solution:}}}}[/tex]

Let the numerator be x

It is given that,

Then,

⇛ Denominator- 8 = x

⇛ Denominator = x + 8

According to condition -2)

⇛ Fraction = 3/5

⇛ x/x + 8 = 3/5

Cross multiplying,

⇛ 3(x + 8) = 5x

⇛ 3x + 24 = 5x

⇛ 24 = 5x - 3x

⇛ 24 = 24

Flipping it out,

⇛ 2x = 24

⇛ x = 24/2 = 12

Then,

⇛ x + 8 = 12 + 8 = 20

[tex] \large{ \therefore{ \boxed{ \rm{ \pink{Then, \: the \: fraction = \dfrac{12}{20} }}}}}[/tex]

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Answer:

There are six terms in the series

Step-by-step explanation:

We can see that n starts from 0, and ends at 5. There are therefore 6 terms in this series - as 0 is included. Therefore there will be 6 terms in this series, not 5.

There are six terms in the given series.

Answer:

Section I test scores are more dispersed that that of section II.

Step-by-step explanation:

Consider the data collected from the arithmetic test given to two sections of a school.

Section I: Mean = 45, Standard  Deviation = 6.5

Section II: Mean = 45,  Standard deviation = 3.1

The mean of both the sections are same, i.e. 45.

So there is no comparison that can be made from the center of the distribution.

The standard  deviation for section I is 6.5 and the standard  deviation for section II is 3.1.

The standard deviation is a measure of dispersion, i.e. it tells us how dispersed the data is from the mean or how much variability is present in the data.

The standard  deviation for section I is higher than that of section II.

So, this implies that section I test scores are more dispersed that that of section II.

Answer:

hfwhww45 5h wahdaw 5656 adshjdawh bh4 54

Step-by-step explanation:

5767

12345

Sum of digits = 1+2+3+4+5

= 15

Which means divisible by 3

Ends with 0 or 5 = Yes ends with 5

Therefore the number is divisible by 15

12345÷15 = 823

Divisiblity rule of 15 = Any number is divisible by 15 if the sum of the digits is divisible by 3 and the number ends with a 0 or 5.

Must click thanks and mark brainliest

Answer:

20 days

Step-by-step explanation:

Renting a car costs $30 per day.

y = 30x

Renting a car costs $600 per month

y = 600

Set the two equations equal to each other.

30x = 600

(30x)/30 = (600)/30

x = 20

After 20 days, the two options have an equal cost.

Answer:

x=0 or x=2 or x=−4 or x= (7)(2)

Step-by-step explanation:

Rx=1 means to reflect the given point on the line of x= 1

The mapping for the reflection on line x is x = k

(-2,7) = (-2(1) - -2,7) = (4,7)

The missing value is 7

Answer:

p = 5

Step-by-step explanation:

hopefully it is clear and understandable :)

Answer:

The numbers that are at a distance of 2 from the number 8 can be expressed using absolute value notation as:

|x - 8| = 2

Step-by-step explanation:

The numbers that are at a distance of 2 from the number 8 are the numbers that are satisfied by the equation:

|x - 8| = 2

The equation is written in the notation of absolute value as required.

128Answer:

128

Step-by-step explanation:

vì 4+4=8

8+8=16

16+16=32

32+32=64

64+64=128

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs  ⇒  P km

P = 99*12/9

P = 132 km

Answer:

132

Step-by-step explanation:

give person above brainliest :))

Answer:

Each item could be included in a set or not included. That gives 2^5 = 32 ways to choose sets, including 1 set with no items, 5 sets of 1 item, 10 sets of 2 items, 10 sets of 3 items, 5 sets of 4 items, and 1 set of 5 items.

Answer:

mass = 9a^5

center of mass = [tex]\frac{7a}{12}, \frac{7a}{12}, \frac{7a}{12}[/tex]

Step-by-step explanation:

Finding the mass of the solid E

given density function : p ( x,y,z ) = [tex]9x^2 + 9y^2 + 9z^2[/tex]

Mass =   [tex]\int\limits^a_0 \int\limits^a_0 \int\limits^a_0 {9(x^2+y^2+z^2)} \, dx dydz[/tex]   [tex]= \int\limits^a_0 \int\limits^a_0 {9(\frac{a^3}{3}+ay^2+az^2 )} \, dydz[/tex]

         [tex]= \int\limits^a_0 {9(\frac{a^4}{3}+\frac{a^4}{3} +a^2z^2 )} \, dz[/tex]  [tex]= \int\limits^a_0 {9(\frac{2a^4}{3}+a^2z^2 )} \, dz[/tex]  [tex]= 9 ( \frac{2a^5}{3} + \frac{a^5}{3} )[/tex]  

( taking limits as a and 0 )

hence Mass = 9 [tex](a^5)[/tex]

finding the center of mass

attached below is solution

Answer:

squaring a number is multiplying it by itself twice and cubing a number is multiplying the number three times itself

Step-by-step explanation:

for example 2²=2×2

=4

and 2³=2×2×2

=8