In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?

Answer:

B. l = -0.15t + 80

Step-by-step explanation:

From the options we can see that the relation between the battery level (I) and the time elapsed (t) is modeled by the equation of a line, that is:

I = a*t + b

where a and b are some constants, I is in % and t is in minutes.

At t = 0 (when Wally starts to play) the battery is 80%, that is:

80 = a*0 + b

80 = b

At t = 40 minutes the battery is 74%, then:

74 = a*40 + 80

74 - 80 = a*40

-6 = a*40

-6/40 = a

-0.15 = a

Then, the equation is I = -0.15*t + 80

Answer:

the correct answer should be

The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing

Step-by-step explanation:

The percent markup on a program bought for $10 and sold for $12 is 20%.

The question you've asked relates to the calculation of percent markup on an item. In this case, a computer store purchased a software program for $10 and sold it for $12. To find the percent markup, we compare the markup to the cost price. The markup here, is the difference between the selling price and the cost price which is $12 - $10 = $2. To find the percent markup, you divide markup by the cost price and then multiply by 100 to get a percentage. So, the calculation is ($2 / $10) × 100, which equals 20%.

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12x > 9(2x-3)-15

distribute the 9

12x > 18x-27 -15

combine like terms on the right side

12x > 18x-42

subtract 18x from both sides

-6x > -42

divide both sides by -6

x = -42 / -6 = 7

x >7

The equation of the graph shown is C; y = -2x + 3

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The slope-intercept form of the equation of a line; y=mx+b,

where m is the slope and b is the y-intercept(value of y at x =0)

Since, slope = (y - y')/(x -x')

In our case,

b = 3

Slope = (-3-0)/(0-6)

Slope = -2

thus, the equation of line will be written as:

y = -2x + 3

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Answer with explanation:

Mean ([tex]\mu[/tex]) = 43.8

Standard Deviation ([tex]\sigma[/tex]) = 8.7

We can draw the normal curve and then show where these values lie.

Or we can use the equation, [tex]43.8 \pm 8.7 \times k = \text{Value}[/tex], use positive sign when ,number is greater than mean, and negative sign when number is smaller than mean, to find that , how many standard deviations of the mean do the values 60, 40, 35, 45, and 39 fall.

1.→ 43.8 +8.7 k= 60

8.7 k= 60 - 43.8

8.7 k= 16.2

[tex]k=\frac{16.2}{8.7}\\\\k=1.8620\\\\k=1.86[/tex]

2.→ 43.8 - 8.7 k=40

43.8-40 = 8.7 k

8.7 k= 3.8

[tex]k=\frac{3.8}{8.7}\\\\k=0.4367\\\\k=0.44[/tex]

3.→43.8 - 8.7 k=35

43.8-35 = 8.7 k

8.7 k= 8.8

[tex]k=\frac{8.8}{8.7}\\\\k=1.011\\\\k=1.01[/tex]

4.→43.8 + 8.7 k=45

43.8-45 = -8.7 k

-8.7 k= -1.2

8.7 k= 1.2

[tex]k=\frac{1.2}{8.7}\\\\k=0.1379\\\\k=0.14[/tex]

5.→43.8 -8.7 k=39

43.8-39 = 8.7 k

8.7 k= 4.8

[tex]k=\frac{4.8}{8.7}\\\\k=0.5517\\\\k=0.55[/tex]

The number of pots required to plant 24 seeds will be 8.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Anna buys 24 seeds and plants 3 in each pot. She has 5 pots.

The number of the pots will be calculated as Anna needs 3 more pots. 3 times 5 is 15 seeds. And she has 24 seeds. so 24 divided by 3 is 8. 8 minus 5 is 3.

Number = 24 / 3 = 8 pots

Therefore, the number of pots required to plant 24 seeds will be 8.

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A total of 41 barrels can be completely filled with 1,250 gallons of water, leaving 20 gallons of water leftover in the tank.

Suppose a water tank contains 1,250 gallons of water and this water is used to fill 30-gallon barrels. In that case, we can calculate the number of barrels that can be completely filled and the remaining water by dividing the total water volume by the volume of one barrel.

First, divide 1,250 gallons by 30 gallons per barrel:

[tex]\frac{1250}{30}[/tex] = 41.66

This division gives us 41 complete barrels, with a remainder indicating that 20 gallons of water will be left.

Therefore, 41 barrels can be completely filled, and 20 gallons of water will remain in the tank.

Answer:

The correct option is:

Fewer peaches will be sold.

Step-by-step explanation:

As we can clearly see from the graph that:

As the prices of peaches increases(represented by y-axis)  the sales of peaches decreases(represented by x-axis) and as the prices decreases the

number of peaches sold increases.

We are asked what will happen if price of peaches increases.

Hence, The correct option is:

Fewer peaches will be sold.

The straight-line distance after walking 9 blocks east and 5 blocks north can be calculated using the Pythagorean theorem, resulting in a distance of approximately 10.3 blocks, which is shorter than the total 14 blocks walked.

The question involves finding the straight-line distance between two points in a two-dimensional city grid.

When walking 9 blocks east and then 5 blocks north, you are creating a right-angled triangle where the straight-line distance is the hypotenuse of the triangle.

To calculate this, we can use the Pythagorean theorem.

To find the straight-line distance, you square the number of blocks walked east (9 blocks squared) and north (5 blocks squared), and then find the square root of their sum:
Hypotenuse = √((9 blocks)² + (5 blocks)²).
This results in a straight-line path of √(81 + 25) = √106, which is approximately 10.3 blocks.

Hence, even though you walked 14 blocks, the straight-line path is only about 10.3 blocks long, which is considerably shorter than the path you walked.

Answer:

Step-by-step explanation:

The answer is 1.334864 • 10 to the tenth power