Create an expression that fits all of the following conditions: There are exactly four terms. Exactly two of the terms are like terms. At least one term is an integer. Simplify the expression that you created.

Answer:

700

Step-by-step explanation:

I am slightly confused by your wording, but Im assuming you mean the expanded form.

In the base ten system, the second to last digit is the tens place. Therefore, the 7 represents 7*10 = 70

10 times larger than 70 is 700

Answer:

12r-32

Step-by-step explanation:

Distribute the 4 between the different numbers.

3r * 4 = 12r and 8 * 4 = 32

So...you end up with 12r-32

Hi! I hope you're enjoying your day!

Let's recall that the Distributive Property states that

a(b+c)=ab+ac

Where

a, b, and c can be either constants (numbers like 4) or variables (letters like d)

Simplify:

4(3r-8)

4 times 3r is equal to 12r

12r- (4*8)

[tex]\boxed{\boxed{\bold{12r-32}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

Answer:

Step-by-step explanation:3x-y=18

y=27

Therefore 3x-(27)=18

3x=18+27..Nb when the 27 is now being added instead of subtracted.

3x=45

3x/3=45/3 Nb the 3 is now being divided instead of being multiplied.

Therefore X=15

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

[tex]\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}[/tex]

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

[tex]\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2[/tex]

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

[tex](l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}[/tex]

Podemos entonces despejar x de la siguiente manera:

[tex]h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07[/tex]

Answer:

An approximately 2 minutes is expected to reach the front of the line

Step-by-step explanation:

Expected value of minutes =

(1/4)^(1/5) + (1 - 1/4)^(1/5)

= (1/4)^0.2 + (3/4)^0.2

= 0.7579 + 0.9441

= 1.702.

≈ 2 minutes

Answer:

20 pi (sign)

Step-by-step explanation:

khan answer trust me bro

Answer:

Chord

Step-by-step explanation:

I believe the word you are looking for is a chord.

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  [tex]V_c = \pi *r^2*h[/tex]

- Similarly, the volume of cone ( V_c ) is represented by:

                                  [tex]V_c = \frac{1}{3}*\pi *r^2 * h[/tex]

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  [tex]V = C*r^2[/tex]

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                [tex]V = C*(a*r)^2\\\\V = C*a^2*r^2[/tex]

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              [tex]V = (\frac{1}{3} \pi *r^2*h)*a^2[/tex]

                                          &

                              [tex]V = ( \pi *r^2*h)*a^2[/tex]

Answer:

It is 4 because length PO is also 4 and TR is across from it.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

absolute value is always a positive number so

3|-5| -2|-2| =

3 * 5 -2*2

follow PEMDAS

15 -4 = 11

Answer:

the probability of getting an even numbers out of this set is 1/2

Step-by-step explanation:

The set of numbers are: 10

1,2,3,4,5,6,7,8,9,10

Even Numbers: 5

2,4,6,8,10

Probability = [tex]\frac{NumberOfFavourableOutcomes}{TotalNumberOfOutcomes}[/tex]

P = [tex]\frac{Even Numbers}{Total Numbers}[/tex]

P = [tex]\frac{5}{10}[/tex]

P = [tex]\frac{1}{2}[/tex]

So, the probability of getting an even numbers out of this set is 1/2

Answer:

The probability of this set of numbers is 1/2.

Step-by-step explanation:

Probability is the odds of an event happening. It is expressed by writing it as a fraction, decimal, or a percent.

The formula for probability is the number of favorable outcomes divided by the total number of outcomes. In this case, we have odd and even numbers. The even numbers in this set are 2, 4, 6, 8, and 10.

These are the favorable outcomes.

Since there are 5 even numbers, there are 5 favorable outcomes.

There are total of 10 outcomes. Therefore P(Even number)= 5/10.

Don't forget to always simplify. You can divide the numerator and denominator by 5. 5 divided 5 is 1 and 10 divided by 5 is 2.

Therefore, the probability of choosing an even number from this set of numbers is 1/2.

I hope this helps, and I hope you enjoy the rest of your day!

Answer:

Step-by-step explanation:

The given data is represented in the attachment.

a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.

Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).

b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.

Thus,

P(yield>123|GM)>0.5; and P(yield>123|Regular)<0.5

Answer:

32 pupils in a class

Step-by-step explanation:

You are going to divide 192 by 6 to figure out the average amount per class.

Complete Question

The complete question is shown on the first uploaded image  

Answer:

it is convergent and  the solution is  [tex]= \frac{33 \pi }{2}[/tex]

Step-by-step explanation:

From the question we are given  

        [tex]\int\limits^1_0 {\frac{33}{\sqrt{1-x^2} } } \, dx[/tex]

When integrated

         [tex]= 33 sin^{-1} x \left | \ 1} \atop {0}} \right.[/tex]

        [tex]= 33[ \frac{\pi }{2} - 0][/tex]

        [tex]= \frac{33 \pi }{2}[/tex]

This implies that the integral converges

Answer:

-7k-8k^2+5k^4

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

=> 10+10+10-10+10+10+10+10

=> 30-10+40

=> 20+40

=> 60

Answer:

60

Step-by-step explanation:

10+10+10-10+10+10+10

Answer:

71.8° F

Step-by-step explanation:

Given 75° and 4 times 0.8° drop = 3.2°, so the temperature is 75° - 3.2°

= 71.8° F

Answer:

The composite figure is made up of a rectangular prism and  square pyramid

Step-by-step explanation:

The figure on top is square pyramid since the base is a square and the 4 sides are triangles.  The bottom is a rectangular prism since the figure is made up of side rectangular faces

Answer:

square pyramid

also the figure has 896 cm2

Answer:

The answer is B.

Step-by-step explanation:

Given that the total angle in a triangle is 180°. So in order to find x, you have to subatract 95° and 57° from 180°

[tex]x + 95 + 57 = 180[/tex]

[tex]x = 180 - 95 - 57[/tex]

[tex]x = 28[/tex]

Answer:

A,C,F

Step-by-step explanation: I took the test :)

The expression 64 is perfect cube of 3.

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

We have to determine, which to the following is perfect cube.

According to the question,

A perfect cube is an integer that is equal to some other integer raised to the third power.

To obtain the perfect cubes of the expression, it can be determined in following steps.

The given expression is 64.

To convert it into perfect square written in small factor parts.

Therefore, 64 written as,

[tex]= 64\\\\= 2 \times 2 \times 2 \times 2 \times 2 \times 2 \\\\= (2)^{3} \times (2)^{3}\\\\= (2\times 2)^{3}\\\\=( 4)^{3}[/tex]

The expression 64 is perfect cube of 3.

The given expression is 16x.

To convert it into perfect square written in small factor parts.

Then,

16x can be written as,

[tex]= 16x \\\\= 2\times 2\times 2\times 2\times x\\\\= 2x.(2)^{3}\\[/tex]

The expression 16x is not perfect cube.

The given expression is [tex]8x^{3][/tex].

To convert it into perfect square written in small factor parts.

Then,

[tex]8x^{3}[/tex] can be written as,

[tex]= 8x^{3}\\\\= 2 \times 2 \times 2 \times x^{3}\\\\= (2)^3 \times {x^{3}}\\\\= (2x)^{3}[/tex]

The expression [tex]8x^{3][/tex] is the perfect cube of [tex](2x)^{3}[/tex].

The given expression is [tex]27x^{4}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]27x^{4}[/tex] can be written as,

[tex]= 27x^{4}\\\\= 3 \times3 \times3 \times x^{4}\\\\= (3)^{3} \times x \times x^{3}\\\\= x \times (3x)^3[/tex]

The expression [tex]27x^{4}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]81x^6[/tex] can be written as,

[tex]= 81x^{6}\\\\= 3 \times3 \times3 \times3 \times x^{6}\\\\= 3.(3)^{3} \times x^{3} \times x^{3}\\\\= 3 \times ( 3x^{2}) ^{3}[/tex]

The expression [tex]81x^{6}[/tex] is not a perfect cube.

The given expression is [tex]81x^{6}[/tex]

To convert it into perfect square written in small factor parts.

Then,

[tex]125x^{9}[/tex] can be written as,

[tex]=125x^{9}\\\\= 5 \times 5 \times 5 \times x^{3} \times x^{3} \times x^{3}\\\\= (5x^{3})^{3}[/tex]

The expression [tex]12x^{9}[/tex] is perfect square of [tex](5x^{3})^{3}[/tex]

To know more about perfect square click the link given below.

https://brainly.com/question/16780291

Answer: Around a circular table, ten people can be seated 362880 ways.

We establish the conditions of the exercise:

It is a Combination so we use the formula:

    [tex]\boldsymbol{\sf{_{n}C_{r}=\cfrac{n!}{n\cdot (n-r)!} }}[/tex]

          [tex]\boldsymbol{\sf{n=10\; \; \; \; \; r=10}}[/tex]

We substitute and solve:

  [tex]\boldsymbol{\sf{_{10}C_{10}=\cfrac{10!}{10\cdot (10-10)!}=9!=9\cdot8\cdot7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1=362880}}[/tex]

Answer:

[tex]\left(q-\dfrac{23}{2}\right)^2[/tex]

Step-by-step explanation:

Given the expression: [tex]q^2-23q[/tex]

To complete the square, we follow these steps:

Step 1: Identify the coefficient of q

Coefficient of q=-23

Step 2: Divide the coefficient of q by 2

[tex]=-\dfrac{23}{2}[/tex]

Step 3: Square your result from step 2 and add it to the equation

This gives us: [tex]q^2-23q+\left(-\dfrac{23}{2}\right)^2[/tex]

We have now completed the square.

Step 4: Write the result as a binomial square.

To write it as a binomial square, pick the variable and add the term in the bracket.

Therefore:

[tex]q^2-23q+\left(-\dfrac{23}{2}\right)^2=\left(q-\dfrac{23}{2}\right)^2[/tex]

The perfect square form of the given expression will be [tex](q-\dfrac{23}{2})^2[/tex].

The given expression is [tex]q^2-23q[/tex].

It is required to write the given expression as a perfect square polynomial or trinomial.

We will use the identity [tex](a+b)^2=a^2+2ab+b^2[/tex].

So, the first term from the given expression will be [tex]a=q[/tex].

To find the second term b, divide the 2nd term of the given expression by 2,

[tex]b=\dfrac{-23}{2}[/tex]

So, the given expression can be written in the perfect square form as,

[tex]a^2+2ab+b^2=q^2-23q+(\dfrac{-23}{2})^2\\=(q-\dfrac{23}{2})(q-\dfrac{23}{2})\\=(q-\dfrac{23}{2})^2[/tex]

Therefore, the perfect square form of the given expression will be [tex](q-\dfrac{23}{2})^2[/tex].

For more details, refer to the link:

https://brainly.com/question/18875994

Answer:

The standard deviation of the population is 4.5 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation of the population [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this question:

[tex]s = 0.5, n = 81[/tex]

So

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = \frac{\sigma}{\sqrt{81}}[/tex]

[tex]\sigma = 9*0.5 = 4.5[/tex]

The standard deviation of the population is 4.5 minutes.

Answer:

The answer is option B

Step-by-step explanation:

I cant exactly explain it cus i dont remember but i know i got it right lol

but here goes

after she proves that AD is congruent to the other sides, all she has left to prove is ∠A≅∠B and AB≅BC.

'Tis how you get thine answer

(╯°□°）╯

Answer:

Option 1

Step-by-step explanation:

ABCD is a parallelogram, Julie wants to prove that ABCD is also a square.

Remember that a parallelogram has opposite sides equal.

So,

AB ≅ CD

AD ≅ BC

The 4 triangles are congruent. The bases of the triangles are vertically opposite to each other and are congruent. We can use the definition of a parallelogram to prove AB ≅ BC.

Answer:

-30

Step-by-step explanation:

(3-5)4(2) – 16+ 2= -2*8-14= -16-14= -30

Answer:

The correct option is A. 204, 212.5, 223, 233.5, 242.

Step-by-step explanation:

The five number summary of a data set is:

The data provided, in ascending order is:

S = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 , 223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

There are a total of 16 values in the data set.

The minimum value is,

Minimum = 204

The first quartile is the median value of the first half of the data.

The first half of the data is:

S₁ = {204 , 207 , 212 , 212 , 213 , 217 , 219 , 223 }

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{1}=\frac{4^{th}+5^{th}}{2}=\frac{212+213}{2}=212.5[/tex]

The first quartile is 212.5.

The median for even number of observations is the mean of the middle two values.

[tex]\text{Median}=\frac{8^{th}+9^{th}}{2}=\frac{223+223}{2}=223[/tex]

The median of the data is 223.

The third quartile is the median value of the second half of the data.

The first half of the data is:

S₂ = {223 , 225 , 230 , 233 , 234 , 238 , 239 , 242}

The median for even number of observations is the mean of the middle two values.

[tex]\text{Q}_{3}=\frac{12^{th}+13^{th}}{2}=\frac{233+234}{2}=233.5[/tex]

The third quartile is 233.5.

The maximum value is,

Maximum = 242

Answer:

Step-by-step explanation:

(3/8)x - 9 + 4/5

40(3/8x - 9 + 4/5)

15x - 360 + 32

15x - 328

Answer:

3/8 x - 7 1/5

Step-by-step explanation:

3/4 (1/2 x - 12) + 4/5

3/8 x - 8 + 4/5

15/40 x - 8 x 32/40

15/40 x - 7 8/40

15/40 x - 7 1/5

3/8 x - 7 1/5

Answer:

The correct option is

(A). When given two names for the same quantity, you can use algebra to solve the equations.

Step-by-step explanation:

I had thesame quiz, lucky you...next time put the options :)

Answer:

F-1(x)=7/(x+9)

Step-by-step explanation:

Change F(x) to y so    y=7/x -9

Swap variables x=7/y -9

Solve x+9=7/y

7/(x+9)=y

Then change y to F inverse

F-1(x)=7/(x+9)

Thats ur inverse!!!

Answer:

(x+9)/7

Step-by-step explanation:

Let f(x) = y;

y =7/x - 9

y + 9 = 7x

x = (y + 9)/7

Substitute x for y and X = f^{-1}(x)

f^{-1}(x) =(x+9)/7 this is the inverse of f(x)