Which table represents the inverse of the function defined above?

Answer:

Hey there!

The cross section would be a rectangle. No matter where you cut the figure parallel to the base, the cross section would be a rectangle.

Let me know if this helps :)

Answer: Rectangle

Step-by-step explanation:

In a rectangular prism, every cross-section parallel to a side is a rectangle.

Hope it helps <3

Answer:

Brian is 6 years old, John is 9 years old

Step-by-step explanation:

i.

J = 3 + B

J x B = 54

ii.

(3 + B) x B = 54

B² + 3B = 54

iii.

(B + 9)(B - 6) = 0

B = -9 or 6 -- -9 is irrational as one cannot be negative years old

Brian = 6 years old; therefore, John = 9 years old

Answer:

D. 6 pounds

Step-by-step explanation:

$9.50-$5.00=$4.50; $4.50/$0.75= 6 pounds

Answer:

A - 1.50 pounds

Step-by-step explanation:

Answer:

(28/33+28 ) *100

Step-by-step explanation:

(28/33+28 ) *100

(28/61)*100

Answer:

it's 2

Step-by-step explanation:

I did it before

Answer:

See below.

Step-by-step explanation:

[tex]f(x)=-7x^2-x\\g(x)=9x^2-4x\\(f-g)(x)=f(x)-g(x)\\(f-g)(x)=(-7x^2-x)-(9x^2-4x)\\(f-g)(x)=-7x^2-x-9x^2+4x\\(f-g)(x)=-16x^2+3x\\\\(f-g)(1)=-16(1)^2+3(1)\\(f-g)(1)=-16+3=-13[/tex]

The answer is C.) I, III, and V

The statement 1, 2, and 5 will be correct hence option (C) will be correct.

A frequency table is a list of objects with the frequency of each item shown in the table.

In other words, a frequency table is a table in which we have some data and their frequency.

The frequency of an occurrence or a value is the number of times it happens.

In option (C)

1st statement;

Math is the most popular subject in the 10th grade.

In 10th grade, maths is 104 rest are less so it is correct.

3rd statement;

Science is more popular than math among 12th-grade students.

The number of science lovers in the 12th is 78

The number of maths lovers in 12th is 52

So it is also correct.

5th statement;

Overall favorite course is history.

A number of overall favorite courses is history = 403 which is higher than others hence it is also correct.

So option (C) is correct rest are incorrect.

To learn more about the frequency table

brainly.com/question/12576014

#SPJ5

Answer:

Part A speed=96*2=192km/h

Step-by-step explanation:

Two parts, parts A and part B

Part A=200% more than B

Let part B=x

Part A=200 more than B

=2x

Speed ratio=2:1

Average speed of train=64km/h

Let Part A speed=2x

Part B speed=x

A:B=2:1

Total ratio =3

Speed in the part A can be calculated thus:

Totatl speed= ratio of speed in part A / total ratio

64=2x/3

192=2x

x=96km/h

Part A speed=96*2=192km/h

Answer:

5 + 12i

Step-by-step explanation:

(3 + 2i)^2 = (3 + 2i)(3 + 2i) = 9 + 6i + 6i + 4i^2 = 9 + 12i - 4 = 5 + 12i

Answer:

5 + 2i

Step-by-step explanation:

since [tex]\sqrt{-1} = i[/tex]

Use the perfect square formula ( a + b )^2

= 3^2 + 2 · 3 · 2i + (2i)^2

= 5 + 2i

or,

[tex]5+2\sqrt{-1}[/tex]

Answer:

27°

Step-by-step explanation:

D is 72° because it alternates with B, alternate angles are equal.

2x+72°+2x= 180° because it is a straight line.

4x+72°=180°

4x=108°

x=27°

Answer:

The probability of randomly pulling from the bag in the order that spells DESIGN = 1/720

= 0.001389 or 0.1389%

Step-by-step explanation:

The letters placed in a bag = 6

The different ways to choose six letters are a permutation without repetition

And permutation without repetition

= 6 x 5 x 4 x 3 x 2 x 1 = 720 ways

Therefore, the probability of randomly pulling from the bag in the order that spells DESIGN

= 1/720

= 0.001389 or 0.1389%

Probability is defined as the chance that the spelling DESIGN will be pulled from a bag containing the letters: G, E, N, I, D, S, which has 720 ways to choose the letters.

Answer:

All correct

Step-by-step explanation:

All proposed answers correct, and well indicated in set notation.

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z=  p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept  Ha : p >0.11 and  conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

Answer:

Step-by-step explanation:

To do the dilation, simply multiply each coordinate by the scale factor. That is

(-3,1)*3 = (-9,3) and (4,-2) * 3 = (12,-6). So the new points are A'(-9,3) and B'(12,-6)

Answer:

20

Step-by-step explanation:

The number 3 will appear in the numbers 3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83, 93. In these numbers it appears 20 times.

Answer:

62 degrees

Step-by-step explanation:

As two sides shown are same in length thus angle containing by them will be also same.

Thus, other unmarked angle will also be x degrees.

one angle is 56 degrees

we know that sum of angle of triangle is 180 degrees.

Thus

x + x + 56 = 180

2x + 56 = 180

2x = 180 - 56 = 124

x = 124/2 = 62

Thus, value of x is 62 degrees.

Answer:

Step-by-step explanation:

The formula for calculating the margin of error is expressed as;

[tex]M.E = z * \sqrt{\frac{p*(1-p)}{n} }[/tex] where;

z is the z-score at 95% confidence = 1.96 (This is gotten from z-table)

p is the percentage probability of those that watched network news

p = 40% = 0.4

n is the sample size = 300

Substituting this values into the formula will give;

[tex]M.E = 1.96*\sqrt{\frac{0.4(1-0.4)}{300} }\\ \\M.E = 1.96*\sqrt{\frac{0.4(0.6)}{300} }\\\\\\M.E = 1.96*\sqrt{\frac{0.24}{300} }\\\\\\M.E = 1.96*\sqrt{0.0008}\\\\\\M.E = 1.96*0.02828\\\\M.E \approx 0.05543[/tex]

Hence, the margin of error for this survey if we want 95% confidence in our estimate of the percent of T.V. viewers who watch network news programs is approximately 0.05543

Answer:

 [tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]

Step-by-step explanation:

In general, remember that the converse of    [tex]a => b[/tex]       is     [tex]\neg b => \neg a[/tex] , therefore in this case  [tex]a = r \ \ , b = \neg q \ \lor p[/tex]

so   [tex]r => (\neg q \ \lor p) \ \equiv \ q \ \land \ \neg p => \neg r[/tex]

Answer:

OD is false, because it condradicts OA, and we know that OA is true, I mean, we write 2<3

Answer

The inequality sign always open up to the smaller number

The answer is D

Answer:

1/5

Step-by-step explanation:

B, C, D, E, F, G, H, I, J,  K. = 10 tiles

E and I are vowels

P ( vowel) = vowels/ total

                =2/10

                = 1/5

In total, we are given 10 letters.

The vowers are; A, E, I, O, and U

In the bag, we can see we have 2 vowels (E and I)

This means that 2 out of the 10 letters are vowels (2/10).

We can simplify the fraction by dividing by 2.

2÷2/10÷2

1/5

Therefore, the answer is 1/5.

Best of Luck!

Answer:

13 in.

Step-by-step explanation:

Theorem:

The segment that joins the midpoints of two sides of a triangle is parallel to the third side and half the length of the third side.

Each side of triangle MNK has as endpoints two midpoints of sides of triangle ABC, so each side of triangle MNK is half the length of a side of triangle ABC.

p = 26 in./2 = 13 in.

Answer:

-11/24

Step-by-step explanation:

5/12 - 7/8

We need to get a common denominator of 24

5/12 *2/2  - 7/8 *3/3

10/24 - 21/24

-11/24

Answer:

-11/24

Step-by-step explanation:

Well to solve 5/12 - 7/8 we need to find the LCM.

12 - 12, 24, 36, 48

8 - 8, 16, 24, 32, 40

So the LCM is 24.

Meaning we need to make both denominators 24.

12*2 = 24 5*2 = 10

10/24

8*3 = 24 7*3 = 21

21/24

10/24 - 21/24

= -11/24

Thus,

the answer is -11/24.

Hope this helps :)

Answer:

-3,-4,-5

Step-by-step explanation:

those are all numbers less than -2! your welcome! please give me brainliest!

Answer: -3, -16, and -642,000

Step-by-step explanation: In this problem, we're asked to state three solutions for the following inequality, x < -2.

The inequality x < -2 means that any number

less than -2 is a solution to the inequality.

For example, -3 is a solution because -3 is less than -2.

Another solution would be -16 because -16 is less than -2.

One other solution would be -642,000 because it's less than -2.

It's important to understand that these are only 3 possible

answers and there are many answers to choose from.

Answer:

-3

Step-by-step explanation:

-3k / ( k-2)   + 6 / ( k-2)

since the denominators are the same we can add the numerators

(-3k+6) / ( k-2)

Factor out -3

-3 ( k-2)/ ( k-2)

Cancel like terms

-3

Answer:

[tex]\boxed{\sf -3}[/tex]

Step-by-step explanation:

The denominators are same. Add fractions.

[tex]\displaystyle \sf \frac{-3k+6}{k-2}[/tex]

Factor out the expression in the numerator.

[tex]\displaystyle \sf \frac{-3(k-2)}{k-2}[/tex]

Cancel common terms.

[tex]\displaystyle \sf \frac{-3}{1}=-3[/tex]

Answer:

The effective yield is 2.269% to the thousandth.

Step-by-step explanation:

Effective annual yield compounded quarterly, given API

(1+API/4)^4 - 1

= (1+0.0225/4)^4 - 1

= 0.022691

Answer:

12100

Step-by-step explanation:

If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985

In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990

The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;

B ( t ) = − 329.4 t + 13747

B(5) = -329.4(5) + 13747

B(5) = -1647+13747

B(5) = 12100

This shows that there will be 12100 federally insured banks are there in the year 1990.

Answer:  A

Step-by-step explanation:

When multiplying matrices, find the sum of the product of the terms in the  first row of the first matrix with the terms in the first column of the second matrix. Repeat for each row and column.

[tex]\left[\begin{array}{cc}a&c\\b&d\end{array}\right] \times \left[\begin{array}{cc}w&y\\x&z\end{array}\right]=\left[\begin{array}{cc}aw+cx&ay+cz\\bw+dx&by+dz\end{array}\right]\\\\\\\left[\begin{array}{cc}-3&4\\2&-5\end{array}\right]\times \left[\begin{array}{cc}3&-2\\1&0\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(3)+4(1)&-3(-2)+4(0)\\2(3)-5(1)&2(-2)-5(0)\end{array}\right]\\\\\\=\left[\begin{array}{cc}-5&6\\1&-4\end{array}\right][/tex]

Hi there! :)

Answer:

y = 3x - 17.

Step-by-step explanation:

To write an equation parallel to y = 3x - 8, we need the slope as well as the coordinates of a point to solve for the "b" value in y = mx + b:

A line parallel to y = 3x - 8 contains the same slope, or m = 3.

Plug in the coordinates in (4, -5) into "x" and "y" in the equation y = mx + b respectively:

-5 = 3(4) + b

-5 = 12 + b

Simplify:

-5 - 12 = b

b = -17.

Rewrite the equation:

y = 3x - 17.

Answer:

A : 10

Step-by-step explanation:

Answer:

the correct answer is 12

Step-by-step explanation:

6/8=9/x

cross multiply

6x=72

divide by six

x=12