8. A baseball is thrown from a height of 40 feet and goes up at a rate of 2.5 feet per second. A football is
thrown from a height of 25 feet and goes up at a rate of 3 feet per second. After how many seconds
would the two reach the same height?

Answers

Answer 1

The time taken depends upon velocity and distance so the time taken by both balls to reach the same height will be 30 seconds.

What is velocity?

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Units of velocity are given by ⇒ meter/second

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Difference between their initial height = 40 - 25 = 15 feet

It means if baseball cover x feet distance then football will cover x + 15 feet.

Now,

Time = distance covered / velocity

Since the time will be the same for both balls to meet them.

So,

Distance covered by baseball/velocity of baseball = Distance covered by football/ velocity of football

x/2.5 = (x + 15)/3

3x = 2.5x + 37.5

0.5x = 37.5

x = 75

So,

Time taken = 75/2.5 = 30 seconds.

Hence "After 30 seconds both balls will go to reach the same height".

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Related Questions

Which of the following statements is equivalent to 18 + 6?

Answers

We could say 18 + 6 = 2(9+3) as one example

Or 18+6 = 3(6+2) as another example

Or 18+6 = 6(3+1) as another example

There are few approaches so it depends on what answer choices you are given.

17x12 help what do it equal

Answers

Answer:

Step-by-step explanation:

17

12

-----

do 7 x 2

14

then carry the 1

2x1 is 2 plus the 1 from before. it becomes 3

then do 1 x 7 then 1 x 1 but with an extra zero

so it becomes

17

12

---------

34

170

---------

then add it all together

34+170=204

Answer: 17*12=204

                                               

Step-by-step explanation:  because of G O O G L E

A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or more, the lot fails inspection. Suppose 20% of the bulbs in the lot are defective. What is the probability that the lot will fail inspection? Round your answer to four decimal places.

Answers

The probability that the lot of the bulbs will fail inspection of the quality control inspector is 0.9856

How find the probability of the lot that will fail inspection

Given data

p = 20%

sample drawn = 19 bulbs

20% of the bulbs in the lot are defective

n = 19

p = 20% = 0.20

if 20% of the bulbs are defective to find the non defective bulbs we solve as follows

q = 1 - p

= 1 - 0.20

= 0.80

Using binomial theorem,

[tex]P ( X = x) = (^n C _{x} ) * p x * (1 - p)n - x[/tex]

[tex]= 1 - P ( x < 1 )[/tex]

[tex]= 1 - P ( X = 0)[/tex]

[tex]= 1 - ( ^{19} C _{0} ) * 0.20^0 * (0.80)^{19}[/tex]

[tex]= 1 - 1 * 1 * 0.01441[/tex]

[tex]= 1 - 0.01441[/tex]

= 0.98559

= 0.9856 (to four decimal place)

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Ken is playing with building blocks. He wants to put all 64 blocks into the same number of stacks. How many blocks could he put in each stack

Answers

Answer: He could put 8 blocks in 8 stacks

Step-by-step explanation:

Ken could put the blocks in stacks of 1, 2, 4, 8, 16, 32, or 64.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find out how many blocks Ken could put in each stack, we need to divide the total number of blocks by the number of stacks.

So we have:

Number of blocks = 64

Number of stacks = x

To find out how many blocks can be put in each stack, we can set up the following equation:

64 / x = y

where y is the number of blocks in each stack.

Solving for y, we get:

y = 64 / x

So if Ken wants to put all 64 blocks into the same number of stacks, he can put:

64 blocks in 1 stack

32 blocks in 2 stacks

16 blocks in 4 stacks

8 blocks in 8 stacks

4 blocks in 16 stacks

2 blocks in 32 stacks

1 block in 64 stacks

Therefore,

Ken could put the blocks in stacks of 1, 2, 4, 8, 16, 32, or 64.

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if f (x) =x2-4x-6 find f(o) F(3) f(-2) show that f (1/2) f(7/2) and f(2-h) f (2+h)

Answers

If f(x) = x² ₋ 4x ₋ 6 then we get the following answers for f(0),f(3) and f(-2) respectively. And the expression f(1/2) = f(7/2) and f(2₋h) = f(2₊h) is therefore proved.

f(0) = -6

f(3) = -9

f(-2) = 6

Given the function is f(x) = x² ₋ 4x ₋ 6

we need to find for f(0):

f(0) = 0² ₋ 4(0) ₋ 6

f(0) = ₋6

f(3) = 3² ₋ 4(3) ₋ 6

f(3) = 9 ₋ 12 ₋ 6

f(3) = ₋9

f(₋2) = (₋2)² ₋ 4(₋2) ₋ 6

f(₋2) = 4 ₊ 8 ₋ 6

f(₋2) = 6

we need to prove f(1/2)f(7/2)

now, f(1/2) = (1/2)² ₋ 4(1/2) ₋ 6

f(1/2) = 1/4 ₋ 2 ₋ 6

f(1/2) = 1 ₋ 8 ₋ 24 / 4

f(1/2) = ₋31/4

f(7/2) = (7/2)² ₋ 4(7/2) ₋ 6

f(7/2) = 49/4 ₋ 14 ₋ 6

f(7/2) = 49 ₋ 56 ₋ 24 / 4

f(7/2) = ₋31/4

therefore, f(1/2) = f(7/2)

f(2₋h) = (2₋h)² ₋ 4(2₋h) ₋ 6

f(2₋h) = (4 ₊ h² ₋ 4h) ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₊ 4 ₋ 4h ₋ 8 ₊ 4h ₋ 6

f(2₋h) = h² ₋ 10

f(2₊h) = (2₊h)² ₋ 4(2₊h) ₋ 6

f(2₊h) = 4 ₊ h² ₊ 4h ₋ 8 ₋ 4h ₋ 6

f(2₊h) = h² ₋ 10

therefore, f(2₋h) = f(2₊h)

Hence proved.

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In simplest terms, Adam can see a√b feet farther than Pam. a = , b =

Answers

It is recommended that the expressions

d = 400 - 256 and

d = 256 - 400 be considered when attempting to determine how much farther Adam can see to the horizon.

The calculation for the expression is as follows:

Since, the eye-level height of Pam is 256 feet above sea level, whereas the eye-level height of Adam is 400 feet above sea level.

Therefore, the formula that indicates how much farther Adam can see to the horizon should be taken to be

d = 400 - 256 and

d = 256 - 400.

This expression may be found by subtracting 400 from 256.

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CQ

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.

Answer:

A= 2 B= 6

Step-by-step explanation:

the dude above me is wrong

which are the partial products of 3,706×4?​

Answers

The partial products of 3706 × 4 is ( 3000 × 4 ) + ( 706 × 4 ).

Calculating the product of two or more numbers is the procedure known as multiplication in mathematics. When two integers are multiplied together in mathematics, the result is a product or an expression that describes the factors to be multiplied.

The decimal numeral system is widely used to express both integer and non-integer numbers. The way of representing numbers in the decimal system is known as decimal notation.

The given product is 3706 × 4 and can be written as:-

3706 × 4 = [ 3000 + 706 ] × 4

3706 × 4 = ( 3000 × 4 ) + ( 706 × 4 )

Therefore, the partial products of the given expression is ( 3000 x 4 ) + ( 706 x 4 ).

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Tomas works as an underwater photographer. He starts at a position that is 17 feet below sea level. He rises 9 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.

Answers

Answer:

26 below sea level

Step-by-step explanation:

-17+9=-8

-18-8=26

Positive multiples of 4

Answers

Answer:

4,8,16,20,24,28,32,36,40,44...

Step-by-step explanation:

How many?  This list goes on forever.

Answer:

4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,64,68,72,76,80,84,88,92,96.

Step-by-step explanation:

A second degree polynomial with zeros at 4 and at 7 passes
through the point (1,9). Its equation has the form p(x) = ax² +
bx + c.
Find the value of a.

Answers

The value of a in Quadratic function ax^2 + bx + c is 1.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

the polynomial function f(x)=Ax^2+Bx+C, where A 0 and A, B, and C R. A quadratic function is a second-degree polynomial function in which all the coefficients of the terms with a degree less than 2 are zeros.

Roots of the given equation are 4 and 7.

then the quadratic function whose roots are 4 and 7 is

x^2  - (4+11)x + (4*7)

x^2-11x+28

on comparing this to the Quadratic function ax^2+bx+c

the value of a is 1.

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What are the two equations to set up to solve the equation

Answers

Answer:

X is 21 (3x = 3*7) and 3x - 2 = 19.

Step-by-step explanation:

Solve for X:

3x - 2 = 19= 3*7

Solve for 19:

3 * 7 - 2 = 19= 21 - 2 = 19= 1919 = 19.So 3x - 2 = 19 is (3 * 7) - 2 = 19.

For how many positive integers n, is 3^n+81 the square of an integer?

Answers

The number of positive integers n, that satisfy 3^n+81 the square of an integer is infinite.

How to illustrate the information?

Based on the information given, let 3n + 82 = p².

Therefore, 3n = p² - 81

= (p - 9)(p + 9)

Let p = 3q.

3n = (3q - 9)(3q + 9(

= 9(q - 3)(q + 4)

n = 3(q - 3)(q + 3)

n > 0 ; q >= 4 for n = 4, 5, 6....

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HELP PLESSE i need to hrr it turned in 4 horus

Answers

Answer: 5358

Step-by-step explanation:

282

x 18

----------

2538

+282

-----------

5358

2.12 rounded to the nearest hundedth.

Answers

Answer: 2.12

Step-by-step explanation:

it's in the hundredths place

2       .   1           2

ones    tenths  hundredths

What is the multiplicative inverse of 1 1/3?

Answers

According to the given statement the multiplicative inverse of 4/3 is 3/4.

What is multiplicative inverse?

A multiplicative inverse as well as reciprocal for a number x, indicated by 1/x or x1, is a number that produces the multiplicative identity, 1. b/a is the multiplicative inverse of either a fraction a/b. Divide 1 by the number to find the multiplicative inverse.

How Do You Find the Multiplicative Inverse?

Flipping the numerator and denominator yields the multiplicative inverse of a fraction. 1's multiplicative inverse is 1. The multiplicative inverse of 0 is unknown. 1/x or x-1 seems to be the multiplicative inverse of something like a number x.

According to the given data:

Given 1*(1/3)

This can be written as 4/3.

The multiplicative inverse of 4/3 is 3/4

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Michael is playing a game of chance in which he tosses a dart into a rotating dartboard with 8 equal-sized slices numbered 1 through 8. The dart lands on a numbered slice at random.

Answers

Answer:

6 I belive it should land on 6

Help ASAP! 25 Points! What theorem allows you to prove line f is parallel to line g? For what value of x is line f parallel to line g?

PLEASE FIND X FOR ME TOO :) Thank you if you help!

Answers

Answer:

Theorems are stated below

x = 6

Step-by-step explanation:

The following theorems can prove that 2 lines are parallel

Two lines are parallel if they’re cut by a transversal such that

Two corresponding angles are congruent.Two alternate interior angles are congruent.Two alternate exterior angles are congruent.Two same-side interior angles are supplementary.Two same-side exterior angles are supplementary.

The two angles shown are corresponding angles. They are corresponding because each is in the same position left side) in its group of four angles.

Corresponding angles are equal

Therefore,15x + 9 = 21x - 27

Subtract 9 from both sides:
15x = 21x - 27 - 9

15x = 21x  - 36

Subtract 21x from both sides

15x - 21x = - 36

-6x =  36

Divide by -6 both sides

-6x/-6 =  36/-6

x = 6

The two angles are
15x + 9 = 15(6) + 9 = 90 + 9 = 99°

and

21x - 27 = 21(6) - 27 = 126 - 27 =99°

And indeed they are equal


(a) Write an equation in terms of x that represents the problem.
(b) Solve the problem.
The difference of a number and 16 is the same as the product of the number and 3. Find the number.

Answers

Answer:

-8

Step-by-step explanation:

x - 16 = 3x

Solve for x

-2x = 16

x = -8

.56 x 72
Please help me find the answer to this quick

Answers

The answer for this is 40.32

What lowest terms fraction equal to 15%

Answers

Answer:

3 / 20

Step-by-step explanation:

Take only after the decimal point part for calculation.

.15

Then, divide that value by 1.

.15

1

Multiply both numerator and denominator by 100 (because there are 2 digits after the decimal point so that is 102 = 100).

.15 × 100

1 × 100

=

15

100

;

To simplify

15

100

its lowest terms, find GCD (Greatest Common Divisor) for 15 & 100, which is 5. Here's How to Find GCD of 15 and 100?

15/5

100/5

After simplify or reduce the fraction.

3

20

Marty placed $4000 into an account earning 4% simple interest. At the end of the year he moved the total amount to a new account earning 5% interest. Determine the amount of money Marty would have at the end of the second year.

Answers

Simple interest , 4368 is  the amount of money Marty would have at the end of the second year.

What does the term "simple interest" mean?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

P = $4000 R = 4% T = 1

then substitute the value into the formula = [tex]\frac{P * R * T }{100}[/tex]

                = [tex]\frac{4000 * 4 * 1}{100}[/tex]  = 160

So, the total amount is ( 4000 + 160) = 4160

Second year

P = 4160 , R = 5%  T = 1

then substitute the value into the formula = [tex]\frac{P * R * T }{100}[/tex]

                      =  [tex]\frac{4160 * 5 * 1}{100}[/tex]  = 208

So, the total amount is ( 4160 + 208 ) =   4368

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Mariana owns a food truck and sells tacos and burritos. Each taco costs $2.50 and each burrito costs $4.00. Th
system of equations represents the results of Mariana's sales yesterday for t tacos and b burritos.
t + b = 60
2.50t + 4.00b = 175.50
How many tacos did Mariana sell yesterday?

Answers

Let the cost of one tacos = t

Let the cost of one burritos = b

So, we have this system

                    t + b = 60      (eq-1)

2.50t + 4.00b = 175.50        (eq-2)

We take equation-1,

We can write,

              t + b = 60

              t= 60-b            (eq-3)

Substitute equation-3 into equation-2,

We can write,

          2.50t + 4.00b = 175.50

          2.50(60-b) + 4.00b = 175.50

 Multiply the values,

         2.5(60)-2.5b+4b = 175.5

         150-2.5b+4b = 175.50

Subtract the values,

           1.5b = 175.5-150

            1.5b = 25.5

             b = 25.5/1.5

Divide the values,

             b = 17

Replace the value 'b' in equation-3,

We can write,

              t= 60-b

              t= 60-17

              t=43

Therefore,

     Mariana sell 43 tacos yesterday.

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Solve system of equations using substitution method

2x-3y=6
x + y = -12

Answers

So we can either use the substitution method for x or y.
Let’s do x
To isolate x in equation 2, we subtract y from both sides to get
X=-12-y
Now we know what x is in terms of y and an integer.
Plug back in
2(-12-y)-3y=6
-24-2y-3y=6
-24-5y=6
-5y=30
y=-6
We have the value of y now.
Let’s substitute it into the second equation.
X-6=-12
X=-6
So the solution is
(-6,-6)

7/11 divided by 4/5 if you can pls show the work

Answers

Answer:

please rate as brainliest

Step-by-step explanation:

7/11 divide 4/5

just intertwine the second fraction values since it is divided and you should put multiplication

=7/11 × 5/4

=35/44 or 0.7954545455

Answer:

35/44

Step-by-step explanation:

see picture above it is the answer

(2x+3) + 7 and 2x + (3+7)? Expressions equivalent

Answers

Yes, these expressions are equivalent.

What is equivalent expression.
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
We have to prove that ,
(2x+3)+7=2x+(3+7).
We know that it is in the form of associative property of addition.
So, (a+b)+c is always equal to a+(b+c).
Let , x be any natural number .
Let we take x=2.
So,
(2(2)+3)+7=2(2)+(3+7)
(4+3)+7=4+(10)
7+7=14
14=14.
LHS=RHS
Now we can say that above expressions are equivalent .

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find the measures of the angles of a triangle if the angles are resented by x, 4x, and 4x. show work

Answers

Answer:

x = 20

Step-by-step explanation:

Total degrees of a triangle = 180 degrees.

The three angles are x, 4x & 4x

x + 4x + 4x = 180 degrees

x + 8x = 180 degrees

9x = 180 degrees

(9x)/9 = 180/9

x = 180/9

x = 20

D(7,3) is the midpoint, (MP), of AB.
E(10, 4) is the MP of BC.
F(5,5) is the MP of AC
Find the coordinates of A, B, and C

Answers

vertex of A = (x1,y1) =(2,4)

vertex of B = (x2,y2)= (12,2)

vertex of c = (x3,y3) = (8,6)

Midpoint :

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

x= x1+x2/2

y=y1+y2/2

Now ,

D(7,3) is the midpoint of AB.

D (x',y') = (7,3)

vertex of A = (x1,y1)

vertex of B = (x2,y2)

x' = x1+x2/2

7 = x1+x2/2

14 = x1+x2 ...1

y' = y1+y2/2

3= y1+y2/2

6= y1+y2 .....2

E (x'',y'') = (10,4)

vertex of c = (x3,y3)

vertex of B = (x2,y2)

x''= x3+x2/2

y''=y3+y2/2

20= x3+x2 ....3

8 =y3+y2.......4

F (x''',y''') = (5,5)

vertex of c = (x3,y3)

vertex of A = (x1,y1)

10= x1 +x3 ...5

10 =y1+y3 .....6

For 1 & 3 & 5

14 = x1+x2 ...1

20= x3+x2 ....3

10= x1 +x3 ...5

Add all  1 & 3 & 5

44 = 2(x1+x2+x3)

22 = (x1+x2+x3) .....7

For 1 & 7

x3 = 8

For 3 & 7

x1 = 2

For 5&7

x2 = 12

For 2 , 4 & 6

6= y1+y2 .....2

8 =y3+y2.......4

10 =y1+y3 .....6

Add all  2 & 4 & 6

24 = 2 (y1+y2+y3)

For 2 & 8

y3 = 6

For 4 & 8

y1 = 4

For 6 & 8

y2 = 2

vertex of A = (x1,y1) =(2,4)

vertex of B = (x2,y2)= (12,2)

vertex of c = (x3,y3) = (8,6)

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Question 20 of 20
The functions f(x) and g(x) are shown on the graph.
f(x) = x²
What is g(x)?
10
10
f(x)

Answers

Answer:

g(x) = - x² - 4

Step-by-step explanation:

g(x) is a reflection in the x- axis of f(x) followed by a vertical translation of 4 units down.

f(x) = x² , then

g(x) = - x² ( reflection in the x- axis )

g(x) = - x² - 4 ( a translation of 4 units down )

Hello can someone please help

Answers

The correct statements for this problem are given as follows:

20. Plane N contains line l.

21. Point P lies in line l.

22. PQ lies on plane N.

23. Line l and line m are coplanar.

24. Line l passes through P and Q.

25. Line m and line l intersect at P.

26. Points P and Q are colinear.

What is each thing in this problem?

From the graph, we have these following items:

Plane N.Lines m and l.Segment PQ.Points P and Q.

For item 20, we have that:

Line l is on plane N, hence:

Plane N contains line l.

For item 21, we have that point P is on both lines, m and l, hence:

Point P lies in line l.

For item 22, we have that points P and Q are on the plane N, hence:

PQ lies on plane N.

For item 23, we have that the lines are on the same plane, hence:

Line l and line m are coplanar.

For item 24, we have that points P and Q are both on line l, hence:

Line l passes through P and Q.

From it, we can also solve item 26, as follows:

Points P and Q are colinear.

And for item 25, the two lines intersect at point P, hence:

Line m and line l intersect at P.

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whats 26/7 as a mixed number

Answers

Answer:3 and 5/7

Step-by-step explanation:

Other Questions
Jane is buying cupcakes for a class party. The cupcakes come in packages of 6, and the store only has 10 packages out for purchase. She needs at least 5 packages to make sure all her students will receive a cupcake. What is the practical domain of the function?ResponsesAll real numbersAll integers from 5 to 10 inclusiveAll real numbers from 5 to 10 inclusiveAll integers from 6 to 10 inclusive{30, 36, 42, 48, 54, 60} Select the best way to revise the following sentence to achieve gender-neutral, unbiased language while maintaining pronoun agreement. Rhodobacter spheroides has the ability to swim quickly through water toward light, which is necessary for photosynthesis. such quick swimming is characteristic of __________. 1 1/2 2 1/3 (those are fractions help me please) busters badminton bazaar produces high performance badminton racquets. the current price of a racquet is $240. busters expects that, for the indefinite future, the racquet price will rise only by the inflation rate, which is expected to be one percent per year. write a letter the chairman of your local government area contact road based on the structure of systematic interventions designed to enhance the learning environment and improve outcomes for students, what level is considered a universal level of intervention? group of answer choices Khadija bought 8 chicken wings for $10.40. If Khadija spent $3.90, how many chicken wings did she buy? If you double the time an enzyme has to react, the amount of product will ___. A. double as well C. be less with more time B. increase more than double D. not change significantly Please help I am confused "Wherever he steps, whatever he touches, whatever he leaves, even unconsciously, will serve as a silent witness against him. Not only his fingerprints or his footprints, but his hair, the fibers from his clothes, the glass he breaks, the tool mark he leaves, the paint he scratches, the blood or semen he deposits or collects. All of these and more bear mute witness against him. This is evidence that does not forget. It is not confused by the excitement of the moment. It is not absent because human witnesses are. It is factual evidence. Physical evidence cannot be wrong, it cannot perjure itself, it cannot be wholly absent. Only human failure to find it, study and understand it, can diminish its value." 1. Explain the quote below. The prefix that is added to the word autotroph to denote organisms which can use inorganic compounds in the environment to fix carbon dioxide with hydrogen atoms to make sugar is?. what value (s) of x will make x[tex]x^{2}[/tex] =9 true? Which is a sentence fragment? Read this sentence:Poetry isn't dead it's alive and well.Which sentence fixes this run-on error? anyone who answer this correctly I will mark one of you as brainliset.How does ATP supply energy for cellular activities?by breaking off a phosphate group from its structureby releasing the sugar molecule from its structureby adding a phosphate group to its structureby attaching itself to a glucose molecule Factor each expression. x-5 x+6 How similar is this physical model to real object? Only right answer please. If I don't get an A in math my mom will hit me againWhat is the product?Enter your answer as a fraction, in simplified form, in the box.-1/4 x -6/11 Juliana says that she can use the patterns of equivalent ratios in the multiplication table below to write an infinite number of ratios that are equivalent to 6:10. A multiplication table. Which statement explains whether Juliana is correct? She is correct because she can multiply 6 and 10 by any number to form an equivalent ratio. She is correct because 6:10 can be written as 1:2 and there are an infinite number of ratios for 1:2. She is not correct because the multiplication table does not include multiples of 10. She is not correct because 6:10 is equivalent to 3:5 and there are only 9 ratios in the multiplication table that are equivalent to 3:5. The points T, U, V and W all lie on the same line segment, in that order, such that the ratio of TU:UV:VWTU:UV:VW is equal to 1:5:2.1:5:2. If TW=32,TW=32, find UW.UW.