At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.




HELP MEEEE :(

Answer:

- 7

Step-by-step explanation:

Take a look at the attachment...

Hope this helps! :)

Answer:

C

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

To obtain either equation we require to know both the slope and one ordered pair that lies on the line.

Answer:

Step-by-step explanation:

5

The equation of line passes through the point (-4, -2) will be;

⇒ 3x - 4y = - 4

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (-4, -2).

And, The parallel line is,

⇒ 3x - 4y = 7

⇒ y = 3/4x - 7/4

Now,

Since, The equation of line passes through the point (- 4, -2).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

⇒ y = 3/4x - 7/4

m = dy/dx = 3/4

m = 3/4

Thus, The equation of line with slope 3/4 is,

⇒ y - (-2) = 3/4 (x - (-4))

⇒ y + 2 = 3/4 (x + 4)

⇒ y + 2 = 3/4x + 3

⇒ y = 3/4x + 3 - 2

⇒ y = 3/4x + 1

⇒ 4y = 3x + 4

⇒ 3x - 4y = - 4

Therefore, The equation of line passes through the point (-4, -2) will be;

⇒ 3x - 4y = - 4

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Answer:

Linear

Step-by-step explanation:

because it is in the form y=mx+c if rearranged

Answer:

lmfa you answer my questions i recently posted ill answer yours.

Step-by-step explanation:

please tho

The correct solution is x=(+11 , +3)

Step-by-step solution:

2(x-7)²=32

⇒2(x-7)(x-7)=32

⇒(x-7)(x-7)=(32/2)

⇒(x-7)(x-7)=16

⇒(x-7)²=16

⇒[tex](x-7)=\sqrt{16}[/tex]

⇒(x-7) = ±4

⇒(x-7) = +4   or   ⇒(x-7) = -4

⇒x = +4+7   or   ⇒x = -4+7

⇒x = +11  or   ⇒x = +3

Therefore, the correct solution is x = (+11 , +3)

The sum z1 + z2 gives the point with coordinates (1, - 4), so option A is the correct one.

We know that these two points have the coordinates:

z1 = (3, 1)

z2 = (-2, - 5)

And we want to find the addition of the two points.

To add them, we just need to add the correspondent coordinates:

(3, 1) + (-2, -5) = (3 - 2, 1 - 5) = (1, - 4)

That point is the sum of z1 and z2, and we know that it is the point A, so point A is the correct option.

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Answer:

1. 2,772

2.1,071

3.4,641

4. 36,610

5. 4,096

6. 36,270

7. 2,403

8. 3,320

Answer:

2x + 6 < 8 = x < 1

2x + 8 > 12 = x > 2

so, for the first one it's x < 1

and for the second one it's x > 2

Step-by-step explanation:

The time it takes is 12 hours to travel 5,160 Miles.

The time is take can be calculated as follows?

The first is calculate the speed of jet plane in miles/hour (mph)

= 1,290 / 3

= 430 mph

Next is to calculate the time is take to travel 5,160 by dividing the distance by the speed

= 5,160 / 430

= 12 hours

Thus, the time it takes is 12 hours.

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a) In midday there is no change in the height of the water.

b) At 19.00 hours the height of water will decrease 1.5

Given,

The height of the water = h

Equation, h = 3sin(30t)°

t is the time in hours

a) We have to find the height of water in midday;

Midday = 12 noon

Now,

h = 3sin(30t)²

t = 12

Then,

h = 3sin(30 x 12)°

h = 3sin360°

h = 0

That is,

In midday there is no change in the height of the water.

b) We have to find the height of the water at 19.00

Now,

h = 3sin(30t)²

t = 19

Then,

h = 3sin(30 x 19)°

h = 3sin570°

h = -1.5°

That is,

At 19.00 hours the height of water will decrease 1.5

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The value of the given expression in the question, -[4.1-3(2.2)] / (0.2)² + 2       is 64.5.

What do you mean by expression?

An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

You can think of expressions as being similar to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.

-[4.1-3(2.2)] / (0.2)² + 2

Using the BODMAS rule to simplify the given expression.

Given expression can be written as:

= -[4.1-6.6] / 0.04 + 2

= -[-2.5]/0.04+2

=2.5/0.04+2

=62.5+2

=64.5

Therefore, 64.5 is answer for expression  -[4.1-3(2.2)]/(0.2)^2+2.

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Yes! they can afford an $85,000 house with a $65,000 mortgage requiring payments of $720 per month.

What is in a mortgage?

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount of the principal part. Borrowing money has a cost, which is interest.

Given data:

Annual Salary =$42,000

Cost =$85,000

Mortgage = $65000

Monthly Payment = $720

First Criterian : - Never Spend more than 2.5 times of your Annual Income.

2.5 * 42,000

= 105,000

it can be afforded.

Second Criterian : - Monthly Payment should not exceed Weekly Income

Monthly Payment = 720

Weekly earnings = 42000 / 52 weeks = 807

it can afforded.

Third Criterian : - monthly payment should not exceed 28% of monthly earnings.

Monthly payment = 720

Monthly earnings = 42,000 / 12 = 3500

28% * 3500

= 980

it can be afforded.

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Measure of angle YLA in the given figure is 32°.

Given,

∠LYA = 21°

∠GLA = 32°

A is the incentre of the ΔPQR.

Therefore,

∠YLA = ∠GLA

∠LYA = ∠GYA

=> ∠YLA = 32

Hence, Measure of angle YLA in the given figure is 32°.

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Answer:

yes, because 130 + 50 = 180 .

Step-by-step explanation:

If the degrees on the inside adds up to 180 then the lines are parallel.

Answer:

x log (7) -2

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

x=4 would go through 4,3 and 4,8 as 4 is a vertical line

The largest place value of the numeric part of this quantity is 10 million.

Our entire number system is built around place value. This is the system in which the value of a number is determined by the position of its digits. The numbers 42,316 and 61,432 differ because the digits are in different positions.

Every digit in a number has a place value in mathematics. Place value is the value represented by a digit in a number based on its position in the number. For example, 7 hundreds or 700 is the place value of 7 in 3,743. The place value of 7 in 7,432 is, however, 7 thousands or 7,000.

In the number, 12,345,000, the highest place value is 1 and it denotes 10 million.

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The solution to each of the equations are matched together as:

1. 4 = 6/a*x + 5 → x = -a/6

2. 7 + 2ax = 13 → x = 3/a

3. -ax - 20 = -14 → x = -6/a

To solve an equation, apply the properties of equality in order to isolate the variable solved for to one side of the equation, which gives us the solution to the problem.

1. 4 = 6/a*x + 5

4 = 6x/a + 5

Combine like terms

-6x/a = -4 + 5

-6x/a = 1

-6x/a(a) = 1(a) [multiplication property of equality]

-6x = a

-6x/-6 = a/-6 [division property of equality]

x = -a/6

2. 7 + 2ax = 13

2ax = 13 - 7

2ax = 6

Divide both sides of the equation by 2a

x = 6/2a

x = 3/a

3. -ax - 20 = -14

-ax = -14 + 20

-ax = 6

x = 6/-a

x = -6/a

Therefore, the solutions are:

1. x = -a/6

2. x = 3/a

3. x = -6/a

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Answer:

1/2 or 1/6

Step-by-step explanation:

a fair die has 6 possible outcomes:

1,2,3,4,5, or 6

probability of getting an even number is:

3/6 = 1/2 {as there are three possible even outcomes}

probability of getting 6 is:

1/6

Answer:

'e'

Step-by-step explanation:

number of letter in his name: 7

number of times his name is written at the 1000th letter

= 1000/7 = 142 R 6

since there is a remainder of 6 letters after the previous complete set of his name, therefore the 1000th letter is the 6th letter of his name, and that is e

After solving thie expression using BODMAS rule we get the result equal to  [tex]\frac{67}{24}[/tex].

To solve arithmetic expressions of several operators, the BODMAS rule is a mathematics is a technique. We will solve an equation with several operators with the use of BODMAS. It provides the decoding of the mathematical phrase in the proper sequence.

B= Bracket

O= Of

D= Divide

M= Multiply

A= Addition

S= Subtraction

To solve this numerical expression,

[tex]\frac{2}{3}[/tex] ÷ 2⁴ + ([tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

Use BODMAS method

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{9+2}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex] ÷ 16 + ([tex]\frac{11}{12}[/tex]) ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{2}{3}[/tex]  × [tex]\frac{1}{16}[/tex] + ([tex]\frac{11}{12}[/tex]) × 3

[tex]\frac{1}{24}[/tex] + [tex]\frac{33}{12}[/tex]

[tex]\frac{67}{24}[/tex]

The expression has a value equal to [tex]\frac{67}{24}[/tex].

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T is the midpoint of RS and V lies between Rand T is RV+VT =TS

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the endpoints, and it is equally distant from both of them. It cuts the section in half.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end. Alternately, combine the two endpoint x coordinates and divide by 2. similarly for the y coordinates.

The midpoint rule substitutes the midpoints, mi, of each subinterval for xi in a Remain sum with subintervals of equal width to estimate definite integrals.

T is the midpoint of RS so RT =TS

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T is the midpoint of RS and V lies between Rand T is RV+VT =TS

RT = TS because T is the midpoint of RS.

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Answers in bold

Type of angle pair is same-side interior angles. These angles are supplementary so x = 46 degrees.

=================================================

Explanation:

The angles shown are known as "same-side interior" or "consecutive interior". They are interior because they are inside the parallel train tracks. They are considered "same-side" because both are below the transversal line.

If the train tracks are parallel, then those same-side interior angles are supplementary. This means they add to 180 degrees.

x+134 = 180

x+134-134 = 180-134

x = 46

Answer:

12

Step-by-step explanation:

1) Substitute d into the question

We can see that the question says that is d is 2 what would 6d be.

Another way of writing 6d would be 6 x d

If we put d into the equation we would be left with 6 x 2

2) Solve

6 x 2 = 12

Hope this helps, have a great day!!

Answer:

12

Step-by-step explanation:

6d=6(2)

6*2=12

HOPE IT HELPS

The amplitude, midline and period of the function are 3 units, 4units and 5 units respectively

The amplitude is half the full height of the periodic function. That is:

Amplitude = (maximum - minimum)/2

Check the image attached, the maximum and minimum are labeled max and min respectively

Amplitude = (-1 - (-7))/2  = 6/2 = 3 units

The midline is the middle of the periodic graph or halfway between the minimum and maximum of the graph

Midline = (maximum + minimum)/2

Midline = (-1 + (-7))/2 = -8/2 = -4 units

The period is the distance between two peaks or (maximums) on the graph.

Period = 1-(-4) = 5 units

Therefore, the amplitude, midline and period are 3 units, 4units and 5 units respectively

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As per the rule of round off, the nearest ten thousand to the numbers are

a.12,456 = 10,000

b.60,792 = 60,000

c.93,245​ = 90,000

Round off

Round off defines a change a number into an approximation having fewer significant digits.

Given,

Here we need to round off the following numbers to the nearest ten thousand.

a.12,456

b.60,792

c.93,245​

a. 12,456

If you rounded to the nearest ten thousands place. The 1 in the ten thousands place rounds down to 1, or stays the same, because the digit to the right in the thousands place is 2.

If the digit to the right is less than 5 we round toward 0.

Therefore, 12,456 was rounded down toward zero to 10,000

b. 60,792

If you rounded to the nearest ten thousands place. The 6 in the ten thousands place rounds down to 6, or stays the same, because the digit to the right in the thousands place is 0.

So, if the digit to the right is less than 5 we round toward 0.

Then 60,792 was rounded down toward zero to 60,000

c. 93, 245

Similar to the previous one, if rounded to the nearest ten thousands place. The 9 in the ten thousands place rounds down to 9, or stays the same, because the digit to the right in the thousands place is 3.

When the digit to the right is less than 5 we round toward 0.

93245 was rounded down toward zero to 90,000

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Answer:

Step-by-step explanation:Le quedo +10$

Ya que

-65 y le regalaron +10

Answer:

Parallel: Lines a and b

Perpendicular: none

Step-by-step explanation:

Both lines a and b have a slope of 1/3.

This means they are parallel, so they'll never intersect.

Perpendicular lines form a right angle, and none seem to do see here.

The number of bottles that could be completely filled is: 30 bottles. Additionally, he has 0.72 liters of drink left. On the other hand, the total price of the music player and memory card is $96.25 (with tax).

To solve problem 1 we need to consider how much drink John got after mixing the honey water with the lemon juice.

Subsequently, we divide the total juice in quantities of 0.75 to obtain the number of bottles that we can fill, as shown below:

According to the above, 30 bottles of 0.75 liters can be filled and there would be a remaining 0.72 liters.

To solve problem 2 we must add the value with tax of the two products

Later, to find 10% of this value we must divide it by 100 and multiply the result by 10 as shown below:

Finally, we must add this value to the total value without tax ($87.5) to obtain the total value with taxes

$87.5 + $8.75 = $96.25

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The roots of the Quadratic Equation are

(2 + i√26)/3 and (2 - i√26)/3

Given, a quadratic equation i.e. 3x² + 10 = 4x

On simplifying, we get

3x² - 4x + 10 = 0

while checking the discriminant of the given quadratic equation, we get

D = b² - 4ac

D = (-4)² - 4(3)(10)

D = 16 -120

D = -104

i.e. D < 0.

So, the quadratic equation has imaginary roots

On applying quadratic formula, we get

x = (4 ± √(-104))/6

x = (4 ± i2√26)/6

x = (2 ± i√26)/3

Hence, the roots of the Quadratic Equation are

(2 + i√26)/3 and (2 - i√26)/3

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