fill in the graph at the bottom from the chart

Explanation:

We go from 69 to 42, which is a drop of 27 since 69-42 = 27.

Divide that difference over the starting value:

27/69 = 0.391 approximately

Move the decimal point two spots to the right to arrive at 39.1%

We have a decrease of 39.1%

Step-by-step explanation:

Answer in attached image...

hope it helps

(2^-1 -2^-1 × 2^-4)^2

(1/2 - 1/2 × 1/2^4)^2

(1/2 - 1/2^5)^2

(1/2 - 1/32)^2

(16/32-1/32)^2

(15/32)^2

(15/2^5)^2

Must click thanks and mark brainliest

The two solutions of the equation:

(6x - 12)/3 + 4 = 18/x

Are x = 3 and x = -3

Here we have the following equation:

(6x - 12)/3 + 4 = 18/x

Notice that in the right side we have x on a denominator, then x can not be zero, so x ≠ 0.

Now, let's start by simplifying the left side:

(6x - 12)/3+  4 = 18/x

2x - 4 + 4 = 18/x

2x = 18/x

Now we can multiply both sides by x so we get:

2x^2 = 18

Now divide both sides by 2:

x^2 = 18/2

x^2 = 9

Finally, apply the square root in both sides:

√x^2 = ±√9

x = ±3

The two solutions are x = 3 and x = -3

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Answer:

53

Step-by-step explanation:

20+33= 53

Answer:

5 tens and 3 ones

Step-by-step explanation:

u have 2 tens and 33 ones just add 33 can go as 3 tens and u would have 5 tens and 3 ones that are left over

The period is 4 and the horizontal shift is -3.

A secant line, also simply called a secant, is a line passing through two points of a curve. As the two points are brought together (or, more precisely, as one is brought towards the other), the secant line tends to a tangent line.

The given question can be written as

f(x) = 4sec(π/2(x + 3))

According to the general form of secant function is,

y = a sec(bx - c) + d

where:

a = amplitude

b = period

c = horizontal shift

d = vertical shift

Comparing the given function to the general form, we can see that:

As compare to given function to general form ,we get

a = 4

b = π/2

c = -3

d = 0

So, the period of the function is:

P = 2π/b = 2π/(π/2) = 4

The horizontal shift is:

c = -3

So the function is shifted 3 units to the left.

Hence, the period is 4 and the horizontal shift is -3.

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The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Answer:

15x+25

Step-by-step explanation:

cancel out (2x+1) you'll be left with 5(3x+5)

when multiply 5 by 3x+5

Answer:

15x +25

Step-by-step explanation:

2x+1 cancels out 2x+1

then we're left with 5(3x+5)

5*3x=15x

5*5=25

15x+25

Answer:

C and E

Step-by-step explanation:

The change in elevation was 44 + 20 = 64 m

the rate of fall was 64 m / 32 s = 2 m/s

The anchor reached the surface in 44 / 2 = 22 s so C is valid

E is correct as the ocean surface is origin and Up is the positive direction.

The anchor starts at 44 m above the surface and position is lower by 2 meters every second

From the question, the two correct options about the speed with which the anchor was released are:

First we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.

44 + 20 = 64 meters

Next we calculate the rate with which the fall occurred

The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second

44/2 = 22 hence it can be concluded that C is right.

Option E is also correct given that the water surface is above the ground and it is positive

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Answer:

7. -21-15g

8. x+3y+7

Step-by-step explanation:

use multiplication for number 7

number 8 is just rearranging the numbers

number 9 is confusing since i don't know if it's a point or another symbol

Answer: 14,605 pieces.

Step-by-step explanation:

In the second quarter, the company produced 795 pieces more than in the first quarter.

So, the total pieces produced in the second quarter can be calculated as:

6905 + 795 = 7700

The total pieces produced in the first semester (two quarters) can be calculated as:

6905 + 7700 = 14,605

Therefore, the company produced 14,605 pieces in the first semester.

The number of pieces the company produced in the first semester was 14,605 pieces.

The question asks to calculate how many pieces a company produced in the first semester, considering the production of two quarters.

In the first quarter, the company produced 6,905 pieces, as indicated in the question.

Already in the second quarter, the company produced 795 more pieces than in the first quarter, which means that the production in the second quarter was:

6,905 + 795 = 7,700 pieces.

To know the company's total production in the first semester, just add the productions of the two quarters:

6,905 + 7,700 = 14,605 pieces

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

\((f\circ g)(4)=31\)

Step-by-step explanation:

Composite Function

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

\((f\circ g)(x)=f(g(x))\)

For practical purposes, it can be found by substituting g into f.

We have:

\(f(x)=3x+1\)

\(g(x)=x^2-6\)

Computing the composite function:

\((f\circ g)(x)=f(g(x))=3(x^2-6)+1\)

Operating:

\((f\circ g)(x)=3x^2-18+1\)

Operating:

\((f\circ g)(x)=3x^2-17\)

Now evaluate for x=4

\((f\circ g)(4)=3(4)^2-17=48-17\)

\(\boxed{(f\circ g)(4)=31}\)

Let me know if its correct! Kinda rushed a bit! I'd wait for someone else to answer just to confirm!

Answer:

g= 1/3 hr + 1/3 x

Step-by-step explanation:

Solving for G

Step 1: Add x to both sides.

3g − x + x =hr+x

3g = hr+x

Step 2: Divide both sides by 3.

3g/3 = hr+x/3

g= 1/3hr + 1/3x

Answer:

\( \rm g = \dfrac{1}{3}(rh + x) \)

Step-by-step explanation:

Solve for g:

\( \longrightarrow \) 3g - x = rh

Add x to both sides:

\( \longrightarrow \) 3g + (x - x) = rh + x

x - x = 0

\( \longrightarrow \) 3g = rh + x

Divide both sides by 3:

\( \longrightarrow \) \( \sf \dfrac{3}{3} g = \dfrac{1}{3}(rh + x) \)

\( \rm \dfrac{3}{3} = 1: \)

\( \longrightarrow \) \( \sf g = \dfrac{1}{3}(rh + x) \)

Answer:

Since 111/500 = 0.222, 21% = 0.21, 0.211 = 0.211 and 11/50 = 0.22

The Order from least to greatest goes like: 21%, 0.211, 11/50, 111/500

Step-by-step explanation:

Answer:

21%, 0.211, 11/50, 111/500

Step-by-step explanation:

Make each problem into the same form(Decimal Form)

111/500= 0.222

21%= 0.21

0.211= 0.211

11/50= 0.22

Then orgqnize from least the greatest!

0.21, 0.211, 0.22, 0.222

The completed sequence is: 3/k, 3/k, 3/k, 9/2k.To complete the sequence of numbers with a constant difference between adjacent numbers, we can calculate the common difference by subtracting the first term from the second term.

Let's denote the missing terms as A and B.

The given sequence is: 3/k, A, B, 9/2k.

The common difference can be found by subtracting 3/k from A or B. Therefore:

A - 3/k = B - A = 9/2k - B.

To simplify, we can equate the two expressions for the                     common difference:

A - 3/k = 9/2k - B.

Next, we can solve for A and B using this equation.

Adding 3/k to both sides gives:

A = 3/k + 9/2k - B.

Now, we can substitute the value of A into the equation:

3/k + 9/2k - B - 3/k = 9/2k - B.

Simplifying further, we have:

9/2k - 3/k = 9/2k - B.

Cancelling out the common terms, we find:

-3/k = -B.

Multiplying both sides by -1, we get:

3/k = B.

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The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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Answer:

192.7

Step-by-step explanation:

Step-by-step explanation:

(12x+5)=(17x-5)

Answer:

120 magazines

Step-by-step explanation:

1.15x = 138

x = 120 magazines before increase

Check:

before increase + increase = sold

120 + 120(.15) = 138

120 + 18 = 138

138 = 138

The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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Answer:

(89.10+10.62)/18 =

(99.72)/18 =

= 5.54

Verification:

5.54*18 = 99.72

how much does each

person owe on average? $5.54

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

All you have to do is see what is being multiplied by x, and that will be your slope. The number after is your "b"

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

Answer:

Each pencil costs $1.25

Step-by-step explanation:

$18.74 - 4.99=13.75

13.75/11=$1.25

You have to take the total amount and subtract how much the paper pad costs then you get 13.75 and that is how much the student paid for all 11 pencils so you divide it by 11 and you get $1.25

To find the amount of servings, we just need to divide the entire bar weight by the serving weight. Solving this calculation, we have

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

7p^2 + 49pq

7p×p+7×7×p×q

taking common

7p(p+7q)

is your answer

Answer:

7p(p+7q)

Step-by-step explanation:

1) 7p2+49pq

7p2+49pq

= 7p(p+7q)

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer:

To convert fahrenheit to celsius subtract 32 from the fahrenheit number and then multiply it by 5/9!!

1. a. about -17.78 degrees celsius

work: 0-32 = -32 times 5/9

-32*5 = -160

-160/9 = about -17.78

  b. 0 degrees celsius

work: 32-32 = 0

0*5/9 = 0

   c. about 21.11 degrees celsius

work: 70-32 = 38

38*5/9 = about 21.11

   d. 37 degrees celsius

   work: 98.6-32 = 66.6

66.6*5/9 = 37

   e.  about 37.78 degrees celsius

work: 100-32 = 68

68*5/9 = about 37.78

   f. 100 degrees celsius

work: 212-32 = 180

180*5/9 = 100

celsius to fahrenheit is that number times 9/5, then  + 32

2.  (all of these answers are in degrees FAHRENheit. Make sure to write that!)

a. 32

work: 0*9/5 = 0 and 0+32 = 32

b. 89.6

work: 32*9/5 = 57.6.

57.6+32 = 89.6

c. 158

work: 70*9/5 = 126. 126+32 is 158

d.  209.48

work: 98.6*9/5 = 177.48. 177.48+ 32= 209.48

e. 212

work: 100*9/5 = 180. 180 + 32 = 212

f. 413.6

212*9/5 = 381.6. 381.6+32 = 413.6

Step-by-step explanation:

Hope i was in time.