Find the product: (50z + 20)(10z + 4) ( 1 ) 12. Find the product: (88a + 80)(8a + 8)

Answer:

The height of the ball was influenced by the force of the batter, but as this force ceases the only thing dragging the ball is gravity, making its height change through time. It first goes up due to the batter and then down due to gravity.

Step-by-step explanation:

When the softball is hit by the batter a force is applied to it, making it accelerate and dislocate through space. According to the equation at the moment of impact the ball was at a height of 3 units, had a speed of 105 units per second and was under the influence of the acceleration of gravity. This means that the ball's position will change as time goes on, because the force applied by the batter is ceased in the moment of impact and the only thing influencing the ball is gravity. The batter hit the ball in a way that will make it go up and forward, while gravity will drag the ball down again until it hits the ground.

Answer:

Each value of time is associated with exactly one height.

Step-by-step explanation:

Answer: The line is AB and the plane is ABD, the first option is the correct one.

Step-by-step explanation:

Ok, first some definitions.

A line is any line that crosses two colinear points. Particularly, you can see in the graph that the line crosses through A and B, so the line is AB.

A plane needs 3 non-colinear points (if the points where colinear, then the points may define a line). Other definition of plane is "a line and a point that is not in the line"

So, if our line is AB, then the possible planes are:

ABC and ABD.

then the correct option is:

Line AB and plane ABD, so the correct option is the first one.

Answer: $14,000

Step-by-step explanation:

Given the following :

Room & Board = $11,500

Work - study = $8000

Grant & scholarship = $9500

Tuition fee = $9500

If she pays balance with a student loan, how much will she need to borrow:

Elisha's bill:

Tuition fee and room and board

($9500 + $11500) = $21,000

Elisha's earning:

Work - study and scholarship & grant

($8000 + $9500) = $17500

Therefore,

Amount to borrow per year :

$21,000 - $17,500 = $3500

For four years :

4 × $3,500 = $14,000

Answer:

The correct answer is D-$14,000

Step-by-step explanation:

This is the difference between what she will make from her work-study and what her room and board will cost. After she does her work study her room and board will still be $3,500 per year and she will be paying that for 4 years which equals $14,000

Answer:

see below

Step-by-step explanation:

vanilla = 4 dollars per packet

chocolate = 1 dollar per packet

v = number of vanilla packets

c = number of chocolate packets

v+c = 27  for a total of 27 packets

4v+1c = 45  for 45 dollars spent

Subtract the first equation from the second equation  ( eliminate c to find v)

Since both equations have a coefficient of 1 for c, we can easily subtract to eliminate the c variable

4v + c =45

-v -c = -27

-------------------------

3v = 18

Divide by 3

3v/3 = 18/3

v = 6

6 packets of vanilla

Now find c

v+c = 27

6+c = 27

c = 27-6

c = 21

21 packets of chocolate

Answer:

just put the grains in a bag in a storeroom

Answer:

proportionality constant = $2 per bag

Step-by-step explanation:

Let the equation of the line representing relation between number of chips bags and total price of 'x' bags is,

y = mx + b

Here y-intercept b = 0 [Since this line passes through origin (0,0)]

Here 'm' = proportionality constant or price per bag

Equation will be,

y = mx

Now we select a point on the line that is (1, 2),

For a point (1, 2),

2 = 1 × m

m = 2

Therefore, constant of proportionality 'm' = $2 per bag

Answer:

$2 per bag

Step-by-step explanation:

plz mark brainliest

Answer:

Explanation:

I hope you understand this

Answer:

C. (3,15) and (4, 12)

Step-by-step explanation:

Given the system of linear equations

y = -x² + 4x + 12 and y=-3x + 24

Since both equations represents the variable y, we will equate both of the equations together.

Step 1: Equating both equations together we have;

-x² + 4x + 12 = -3x + 24

-x²+3x+4x+12-24 = 0

-x²+7x-12 = 0

x² -7x+12 = 0

x²-4x-3x+12 = 0

x(x-4)-3(x-4)= 0

x-3(x-4) = 0

x = 3 and 4

Step 2: substitute x = 3 and 4 into any of the equations to get the value of y. Using equation 2

when x = 3, y = -3(3)+24

y = -9+24

y = 15

when x = 4, y = -3(4)+24

y = -12+24

y = 12

The solutions yo the system of equations are (3,15) and (4, 12)

Answer:

c

Step-by-step explanation:

or (3, 15) and (4, 12)

Answer:

-2/5

Step-by-step explanation:

[tex]2(4a+1)=3a[/tex]

Expand parentheses:

[tex]8a+2=3a \\\\5a=-2 \\\\a=-\dfrac{2}{5}[/tex]

Hope this helps!

Answer:

[tex]a=-\frac{2}{5}[/tex]

Step-by-step explanation:

2(4a+1)=3a

8a+2=3a

Subtract 8a from both sides

2= -5a

-5a=2

Divide both sides by 5

-a= [tex]\frac{2}{5}[/tex]

Multiply both sides by -1

[tex]a=-\frac{2}{5}[/tex]

Answer:

11.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 53 = x/15

15 sin 53 = x

11.97953265 = x

Assuming the limit is taken as n approaches infinity, we have

[tex]\displaystyle\lim_{n\to\infty}\frac{6n^2-2n}{n^2+8}=\lim_{n\to\infty}\frac{6-\frac2n}{1+\frac8{n^2}}=\boxed6[/tex]

because the rational terms in the numerator and denominator will vanish.

Answer:

[tex]y = \frac{1}{4} x - 3[/tex]

Answer:

y = 1/4x -3

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

(1−−4)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(1++0)2+(13−1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√(5)2+(12)2‾‾‾‾‾‾‾‾‾‾‾√25+144‾‾‾‾‾‾‾‾‾√169‾‾‾‾√≈13

Sorry if the explanation is a bit confusing but, I used the distance formula to do this.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

D = 13

Step-by-step explanation:

We'll find its length using Distance Formula:

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(1+4)^2+(13-1)^2}[/tex]

D = [tex]\sqrt{(5)^2+(12)^2}[/tex]

D = [tex]\sqrt{25+144}[/tex]

D = [tex]\sqrt{169}[/tex]

D = 13

Answer:

4x+12

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = (x+3) *4

Distribute

A = 4x+12

Answer:

The red bird is flying at 6 23/45 meters higher than the blue bird. But I'm not sure what you want me to solve here.

Answer:

1. 17 1/9 and 2. The red bird is flying at a higher elevation than the blue bird.

Step-by-step explanation:

Answer:

[tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]

Step-by-step explanation:

Given:

The scale factor =  1.25 and rotated =45°

Length of side =5 units; , 4.2 units; and , 4 units respectively.

As mention in the question the ∆ABC and ∆PQR are similar it means there sides are equal .

Therefore sides of  the ∆ PQR is  

[tex]= (5*1.25),(4.2*1.25),(4*1.25)\\=6.25, 5.25, 5[/tex]

Hence the length of the  ∆PQR is [tex]6.25\ units,\ 5.25 \ units\ and\ 5 \ units[/tex]

Answer:

520 houses

Step-by-step explanation:

Here, we are interested in calculating the number of houses in the town.

We are told that the density is 8 houses per block and there are 65 blocks

The number of houses in the town = density * number of blocks = 65 * 8 = 520 houses

Answer:

second option

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{2}{3}[/tex] x + 2 → (1)

6x - 4y = - 10 → (2)

Substitute y = [tex]\frac{2}{3}[/tex] x + 2 into (2)

6x - 4([tex]\frac{2}{3}[/tex] x + 2) = - 10 ← distribute parenthesis and simplify left side

6x - [tex]\frac{8}{3}[/tex] x - 8 = - 10 ( multiply through by 3 to clear the fraction )

18x - 8x - 24 = - 30

10x - 24 = - 30 ( add 24 to both sides )

10x = - 6 ( divide both sides by 10 )

x = - 0.6

Substitute x = - 0.6 into (1) and evaluate for y

y = [tex]\frac{2}{3}[/tex] × - 0.6 + 2 = 2x × - 0.2 + 2 = - 0.4 + 2 = 1.6

One Solution is (- 0.6, 1. 6 )

Answer:

x=4 and the solution is not extraneous

Step-by-step explanation:

[tex]\sqrt{2x+1}=3 \\\\2x+1=9 \\\\2x=8 \\\\x=4[/tex]

This solution is not extraneous, because plugging it back in you get:

[tex]\sqrt{2(4)+1}=3 \\\\\sqrt{9}=3 \\\\3=3[/tex]

Hope this helps!

Answer:

X = 4, solution is not extraneous

Step-by-step explanation:

3 = √9

so we get the following comparison;

2X + 1 = 9 (both minus 1)

2X = 8 (divide by 2)

X = 4

if we fill in 4 for X. we get

√2•4+ 1 = √9 = 3 so the solution is not extraneous

Answer:

3y= -2x-6

Step-by-step explanation:

The two points on the line are (-3,0) and (0,-2)

so you first get the gradient;

gradient= change in y

change in x

= -2-0

0-(-3)

= -2

3

so the answer above is the gradient

then pick one point that you used to get the gradient with, so as for me I'll pick (-3,0) and then a general point which is always (x, y)

since you have the gradient you can easily get the equation by doing this

y-0. = -2

x-(-3). 3

then crossmultiply to get the equation of the line

3y= -2(x+3)

3y= -2x-6

Answer:

-3

Step-by-step explanation:

1. Plug in -2 for y, because it is the y value in the coordinates

2. Simplify -2 = -2x + 4(-2)

3.That simplifies to -2 = -2x - 8

4. Add 8 to both sides to get 6 = -2x

5. Divide both sides by -2

6. x = -3

Answer:

-3

Step-by-step explanation:

y = -2x+4y

It is given (_,-2), (x,y).

We must find the x coordinate.

Put y as -2.

(-2)= -2x+4(-2)

-2 = -2x+-8

2x = -8 + 2

2x = -6

2x/2 = -6/2

x = -3

Answer:

the answer is 30 golf ball

Step-by-step explanation:

since 69=2553g you take 69=2553g and say what about 1110g you multiply 69×1110=76590/2553=30

For....The weight of a bag of golf balls varies directly as the number of golf balls in the bag. If a bag of 69 golf balls weighs 2,553 grams, how many golf balls are in a bag that weighs 1,110 grams?

number of golf balls: _____

The Answer is 30 for Plato

Answer:

"Whole"

Step-by-step explanation:

A mixed number is made out of two parts: the fraction and the whole number.

Other material would say that a mixed number has three parts: the numerator, denominator, and the whole number. This is also correct, as the numerator and denominator make up the fraction in the mixed number.

The fraction is the 'incomplete' part of the mixed number, and the whole number is the 'complete' part of the mixed number.

For example:

[tex]3.25 = 3\frac{1}{4}[/tex]

0.25 = 1/4

3.00 = 3

"Whole" should fill in the blank and make the statement true.

Answer:

Area: 42 cm²

Perimeter: 28.4 cm

Step-by-step explanation:

Simply plug in 4.2 cm for x into x + 5.8 to find the width. You width should be 10.

Area: Multiply 10 by 4.2 and you should get 42

Perimeter: Add up all the sides together (4.2 x 2 + 10 x 2) and you should get 28.4

Answer:

The area of a rectangle is length times width.

First recall the answer gives you x=4.2 for the eqaution x+5.8 and for the length.

Input that into the rectangle´s area formula.

(4.2)(4.2+5.8)

(4.2)(10)

=42 units^2.

Now to find the perimeter you need to add all the sides. We have two lengths and two widths.

4.2+4.2+10+10

= 28.4

Step-by-step explanation:

If you want more explanations then Khan academy is a great source.

Answer:

115

Step-by-step explanation:

Number of houses in the street which have both electricity and glass doors = (170 + 145) - 200 = 315 - 200 = 115

Hope it helps : )

Any doubts?

Answer:

1 + 1.5 m less-than-or-equal-to 25

25 greater-than-or-equal-to 1 + 1.5 m

Step-by-step explanation:

Available amount $25

Cost of a song= $1.5

One of fee= $1

Number of songs= m

or

is the required inequality

-----------

Correct answer choices:

Answer:

1.00+1.50m ≤ 25 (1+1.5 m less than or equal to 25)

OR

25 ≥ 1.00+1.50m (25 greater than or equal to 1+1.5m)

Step-by-step explanation:

Activation Fee = $1.00

Cost of each song = $1.50

Since we are given that he can buy m songs .

So, Cost of m songs = $1.50 m

So, total cost = Activation charge + Cost of m songs = $1.00+$1.50 m

Since we are also given that Miguel can use all or part of his $25 gift card to make a music purchase.

So, the inequality becomes :

=> 1.00 + 1.50m ≤ 25

=> 1.50m ≤ 25-1

=> 1.50m ≤ 25

=> m ≤ 25/1.50

=> m ≤ 16

Hence the inequality that can represent the situation is

1.00+1.50m ≤ 25

OR

25 ≥ 1.00+1.50m

Answer:

x = 50°

2x = 100°

Step-by-step explanation:

Chords AB and DC are equidistant (3 units) from the center E of the circle.

Since, the chords equidistant from the center of the circle are congruent.

Congruent chords intercepts congruent arcs.

Hence, x = 50°

2x = 2*50° = 100°

Answer:

D

Step-by-step explanation:

The y-intercept is the initial amount and the rate of change is the amount she saved each week so that eliminates A and B. Since the y-intercept is 20 the answer is D.

Answer:

(23, 4)

Step-by-step explanation:

If we use substitution, we need to rewrite the 2nd equation so we can substitute it into the first.

Step 1: Rewrite 2nd equation

x = 5y + 3

Step 2: Substitution

2(5y + 3) - 5y = 26

Step 3: Distribute

10y + 6 - 5y = 26

Step 4: Combine like terms

5y + 6 = 26

Step 5: Isolate y

5y = 20

y = 4

Step 6: Find x

x - 5(4) = 3

x - 20 = 3

x = 23

And we have our final answer!

Answer:

(23, 4)

Step-by-step explanation:

Begin by defining x.  

x - 5y = 3

x = 3 + 5y

Now substitute.

2(3 + 5y) - 5y = 26

6 + 10y - 5y = 26

5y = 20

y = 4

Now substitute y for 4.

x - 5y = 3

x - 5(4) = 3

x = 3 + 20

x = 23

Answer:

sin75/25=sin40/y

Step-by-step explanation:

sin75/25=sin40/y

you can use cross products to solve but since you didn't ask for solving I will just give you the ratio :)

please mark me brainliest :)

Answer:

sin 75         sin 40

------------ = ------------

25              y

Step-by-step explanation:

We can use the law of sines to solve this problem

sin 75         sin 40

------------ = ------------

25              y

Using cross products

y sin 75 = 25 sin 40

y = 25 sin 40 / sin 75

y =16.63656753