- The zoom feature on a camera lens allows you dilate what appears on the display. When you change from
100% to 700%, the new image on your screen is an enlargement of the previous image with a scale factor of
7. If the new image is 70 millimeters wide, what was the width of the previous image?
a. 245 millimeters
35 millimeters
b. 490 millimeters
d. 10 millimeters
c.

Women are paid approximately 80 percent of what men are paid.

Multiple studies have been carried out to discuss the income inequality prevailing in United States. Pay inequity has been found as a corollary of the income inequality.

The women and men has different pay levels for the same work at certain work places. Income inequality is considered as an injustice and to put forward this issue may organizations are trying.

Hence according to multiple studies, including those by the American association of university women and the pew research center, on average, women are paid approximately 80 percent of what men are paid.

We can see the appreciable difference in the pay levels of women and men prevailing.

As a result several laws has been passed recently to have a solution for this injustice.

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Answer:

Ok So first let's find the A B 8 one we already the know 1 value so let's write it in algebraic expression which is:

8 + x + x + 1 = 15

2x + 9 = 15

2x = 15 - 9

2x = 6

x = 3

3 + 1 = 4

8 + 4 + 3 = 15

So Currently A is either 4 or 3 let's try with 4 first.

9 + 4 + x = 15

13 + x = 15

x = 15 - 13

x = 2

9 + 4 + 2 = 15

now, E is 2

7 + 2 + x = 15

9 + x = 15

x = 15 - 9

x = 6

7 + 2 + 6 = 15

now, F is 6

6 + 8 + x = 15

14 + x = 15

x = 15 - 14

x = 1

8 + 6 + 1 = 15

now, D is 1 and C is 5

I'm not gonna check diagonals Bit I'm pretty sure they will be correct so yeah A Is 4

Answer:

9.8 cm

Step-by-step explanation:

Volume of a cylinder can be gotten with this formula

V=πr2h

h = height of the oil.

We were told that 3 litres of oil was removed, then, there is a falling in the level of oil by 10 cm, hence the height of the oil is now

h° =( h) - (0.1)

Then the new volume can be calculated as

V°= V - (3×10^-3)

But

volume= (π r2h°)

Then substitute we have

πr2h - 0.003 = π r2 (h-0.1)

If we open the bracket we have

0.003 = (πr2 ×0.1)

πr2=0.003/0.1

Then r=√ (0.03/0.1π)

=9.8 cm

Note that 1L = 10-3 m3

The solution set of the inequality 3x-2 < 2-2x is:

(4/5, ∞)

To find this we need to isolate the variable in the inequality.

Here we have:

3x - 2 < 2 - 2x

add 2x in both sides and add 2 in both sides, then we will get:

3x + 2x < 2 + 2

5x < 4

Now we can divide both sides by 5 to get:

x < 4/5

That is the inequality solved.

Then the solution set of the inequality is:

(4/5, ∞)

The set of all real numbers larger than 4/5.

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The pair of figures having same volume are:

a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

What is volume of a figure?

Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.

i. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

iv. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

v. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

vii. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

viii. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, three pairs have the same volume.

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The missing figures have been attached below.

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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Answer:

A=8.25

Step-by-step explanation:

the equation for area is

A=base×height

or

A= (3ft)(2.75)

Answer:

A= 8.25

Step-by-step explanation:

Answer:

14 giraffes, 28 people and 42 lions

Step-by-step explanation:

you add how many legs for all 3 x1

add this you have a total 14

double that is 28 triple that is 42

total 84

The diagonal of a room measuring 5 ft and 12 ft along the walls should be 14.6 ft.

The diagonal of the room can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse would be the diagonal, the other two sides would be 5 ft and 12 ft.

Thus, the equation would be: a² + b² = c², with a = 5 ft, b = 12 ft, c = 14.6 ft.

The calculation for this equation is as follows:

5² + 12² = c²; 25 + 144 = c²; 169 = c²; √169 = c; c = 14.6 ft.

This means that the diagonal of a room measuring 5 ft and 12 ft along the walls is 14.6 ft.

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Answer:

a,b,d,e is the answer got it right on edge2021

Step-by-step explanation:

Solution

For this case we have the following probability given:

p= 0.265

n= 4

Part a

Part b

Replacing we got:

adding the two values we got:

Independent events are ones whose occurrence is not contingent on the occurrence of another event. The two events A and B are independent.

Independent events are ones whose occurrence is not contingent on the occurrence of another event.

As it is given that the probability of event A occurring is 0.65, while the probability of event B occurring is 0.76. And the probability of both event A and event B occurring is 0.494.

We know that for two independent events the probability of both the events occuring is given by the formula,

\(\rm P(A\ and\ B)=P(A) \times P(B)\)

Substitute the values of P(A) and P(B), we will get,

\(\rm P(A\ and\ B)=0.65 \times 0.76\)

                   \(=0.494\)

Since the probability of both the events occuring together is 0.494.

Hence, the two events A and B are independent.

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Answer:

90degrees

Step-by-step explanation:

To get the measure of angle C, we will use the cosine rule as shown;

AB² = AC²+ BC² - 2(AC)(BC)cos C

85² = 13²+ 84² - 2(13)(84)cos C

7225 = 169 + 7056 - 2184cosC

7225 - 7225 = -2184cosC

0 = -2184cosC

cosC = -0/2184

cosC = 0

C = arccos0

C = 90degrees

Hence the measure of angle C is 90degrees

Answer:

$

1

,

920

Explanation:

Find  

15

%

×

12800

15

100

×

12800

1

=

$

1

,

920

Step-by-step explanation:

The functions and their composites are g⁻¹(x) = -(x + 14)/3, (g o g⁻¹)(4) = g⁻¹(g(4)) = 4 and h⁻¹(-1) = -2

The one-to-one functions g and h are defined as follows.

g(x) = -3x - 14

Also, we have

h = {(-4, -1), (-2, -1), (1, -2), (4, 5)

Solving the functions expressions, we have

This means that we find the inverse of the function g(x)

So, we have

y = -3x - 14

x = -3y - 14

3y = -x - 14

y = -(x + 14)/3

So, we have

g⁻¹(x) = -(x + 14)/3

Next, we have

(g o g⁻¹)(4) = g⁻¹(g(4))

Using the rule

(g o g⁻¹)(x) = g⁻¹(g(x)) = x

We have

(g o g⁻¹)(4) = g⁻¹(g(4)) = 4

From the ordered pairs, we have

h⁻¹(-1) = -2

Hence, the value of h⁻¹(-1) is -2

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Answer:

0-89x=78/-43

Step-by-step explanation:

Answer:

I gottam

Step-by-step explanation:

look it up on google

The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

1  9/10

Step-by-step explanation:

I was first make me brainliest. :)

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Answer:

x=-72/11 y=-48/11

Step-by-step explanation:

yw !

The ways in which companies can attract and retain employees are given below.

The term human resources (HR) refers to the department responsible for managing employee-related resources.

It's an essential partner in an organization's success.

Given is that to answer some ways in which companies can attract and retain employees.

The ways in which companies can attract and retain employees are -

Therefore, the ways in which companies can attract and retain employees are given above.

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An equation that could be solved using this application of the quadratic formula include the following: D. 2x² + 12x + 4 = 13.

In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical equation:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\)

For the given quadratic equation 2x² + 12x + 4 = 13, we have:

2x² + 12x + 4 = 13

2x² + 12x + 4 - 13 = 0

2x² + 12x - 9 = 0

By substituting, we have;

\(x = \frac{-(12)\; \pm \;\sqrt{(12)^2 - 4(2)(-9)}}{2(2)}\)

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Answer:

Let the. length of 3rd side of a ∆ be x.

x>(8–6) cms. and. x <(8+6) cms.

or. x > 2 cms. and. x < 14 cms

or. 2 cms < x < 14 cm

Step-by-step explanation:

find the answer here

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

For the poset or the ordered set given in question

a) The maximal elements are 27, 48, 60, and 72.

b) The minimal elements are 2 and 9.

c) There exists no greatest element.

d) There exists no least element.

e) The upper bounds of {2, 9} are 18, 36, and 72.

f) The least bound of {2, 9} is 18.

g) The lower bounds of {60, 72} are 2, 4, 6,  and 12.

h) The greatest lower bound of {60, 72} is 60.

A poset is a partially ordered set that helps to establish and expand the logical idea of an ordering and arrangement of elements of a set.

In a poset we can find the greatest, least, upper bounds,

An element a of x will be the maximal element provided that there exists no b ∈ x such that a < b.

An element a of x will be the minimal element provided that there exists no b ∈ x such that b < a.

An element a of x will be the greatest element provided that b ≤ a for all b ∈ x.

An element a of x will be the least element provided that a ≤ b for all b ∈ x.

To find the upper bound of the set {2, 9}, with respect to the poset, is to find all of the elements that both 2 and 9 divides. These elements are 18, 36, and 72.

To find the least upper bound of the set {2, 9} is to consider the upper bounds, and find the one that divides the others.

To find the lower bounds of the set {60, 72}, with respect to the poset, is to find the elements that divide into 60 and 72. These elements are 2, 4, 6, and 12.

To find the greater lower bound of the set {60, 72}, is to consider the lower bounds, and see which one is divisible by them all.

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So, the correct option is (B) the function. \((f - g)(x)\) is equal to the square root of\(x/8\) minus \(2/x\) plus 6.

A function is a rule or mapping that associates each input value from a set (called the domain) with a unique output value from another set (called the range or codomain).

For example, let's consider a function.\(f(x) = x^2\). Here, the domain of the function could be any set of real numbers, and the range would be the set of non-negative real numbers. For any given input value x, the function f(x) would return the output value. \(x^2.\)

by the question.

The function (f - g) (x) is defined as the difference between f(x) and g(x) evaluated at x. Therefore:

\((f - g)(x) = f(x) - g(x)\)

Substituting the given expressions for f(x) and g(x) into this formula, we get:

\((f - g)(x) = [\sqrt(x/8) + 11] - [5 + 2/x]\)

Simplifying this expression, we can combine like terms to get:

\((f - g)(x) = \sqrt(x/8) - 2/x + 6\)

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Answer:

3.24/2.4=c

Step-by-step explanation:

division