You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(x)=-16^2 + 32t + 5.2

The equation that represents the number of miles covered in time t will be n = 50t.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

you are traveling on a bus to camp, which is 200 miles away, at 50 mph. The number of miles, n, that you have left to travel after t hours. Then the equation will be

50 = n / t

n = 50t

The equation that represents the number of miles covered in time t will be n = 50t.

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Answer:

A sentence that has  or is conveying  a question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

sentence that asks a question.

Answer:

h = 3.83

Step-by-step explanation:

Solve for h:

h - 2.81 = 1.02

Add 2.8100000000000005` to both sides:

h + (-2.81 + 2.81) = 2.81 + 1.02

2.81 - 2.81 = 0:

h = 1.02 + 2.81

1.02 + 2.81 = 3.83:

Answer: h = 3.83

Answer:

-1<x<1 and 1<x

Step-by-step explanation:

We are asked to determine the interval in which our function shown in the graph has positive values.

In order to do so, we have to see for what values of x on x axis, the graph is above x axis.

As we can see in the graph, when we move from x = -1 towards right, the graph is above x axis. And towards left of x=-1 , the graph is below x axis. Hence answer is

-1<x<1 and 1<x

Answer:

[tex]2^3(2^4)=2^{3+4}=2^7=2(2)(2)(2)(2)(2)(2)[/tex]

Step-by-step explanation:

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

The given expression can be written mathematically as:

[tex]2^3 \times 2^4[/tex]

We can simplify the expression by using the rule of indices shown below:

[tex]a^b \times a^b = a^{b+c}[/tex]

Applying the rule above to the given expression:

[tex]2^3 \times 2^4\\\\2^{3+4}\\\\2^7[/tex]

Therefore [tex]2^3 \times 2^4 = 2^7[/tex]

You can write 2 as a factor of [tex]2^3 \times 2^4[/tex] 7 times

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Answer:

For points :  (2, 12) and (6, 11)

, option A. is correct.

For points : (6, –1) and (–3, –1), option B. is correct

Step-by-step explanation:

We are given points in both the questions and we need to find the slope.

Slope refers to steepness of curve .It is basically change in y with change in x.

For two points [tex]P\left ( x_1,y_1 \right )\,,\,Q\left ( x_2,y_2 \right )[/tex], slope of line PQ is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

For points : (2, 12) and (6, 11)

Let [tex]P\left ( x_1,y_1 \right )=(2, 12)\,,\,Q\left ( x_2,y_2 \right )=(6, 11)[/tex],

Slope is [tex]\frac{11-12}{6-2}=\frac{-1}{4}[/tex] i.e, - 1 over 4

So, option A. is correct.

For points : (6, –1) and (–3, –1)

Let [tex]P\left ( x_1,y_1 \right )=(6, -1)\,,\,Q\left ( x_2,y_2 \right )=(-3, -1)[/tex]

Slope is [tex]\frac{-1+1}{-3-6}=\frac{0}{-9}=0[/tex]

So, option B. is correct

The required slope of the lines with the given coordinates are as follow,

For first line option A. -1/4

For second line option B.0.

For the first set of coordinates of the line,

Points  are (2, 12) and (6, 11)

let (x₁ , y₁ ) = (2, 12 )

( x₂ , y₂ ) = (6, 11 )

Slope of the line for the two coordinates (x₁ , y₁ ) = (2, 12 ) and

( x₂ , y₂ ) = (6, 11 ) is equal to

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value ,

m = ( 11 - 12 ) / ( 6 - 2 )

   = -1 / 4

For the second set of coordinates of the line,

Points  are (6, -1) and (-3, -1)

let (x₁ , y₁ ) = (6, -1 )

( x₂ , y₂ ) = (-3, -1 )

Slope of the line for the two coordinates (x₁ , y₁ ) = (6, -1 ) and

( x₂ , y₂ ) = (-3, -1 ) is equal to

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substitute the value ,

m = ( -1 - (-1) ) / ( -3 - 6 )

   =0 / -9

   = 0

Therefore, slope of the lines are option A. -1/4 and option B.0.

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Answer:

The right answer is [tex]\frac{2}{9}[/tex].

Step-by-step explanation:

To multiply two fractions we multiply numerator by numerator and denominator by denominator. In this case:

[tex]\frac{-1}{4} x\frac{-8}{9} = \frac{8}{36}[/tex]

Notice that both numerator and denominator are divisible by 4. Dividing both by 4 we get [tex]\frac{8}{36} = \frac{2}{9}[/tex]  

Answer:

Step-by-step explanation:

Oof, all 6?  That's not fun.  

I'm going to show you one for the first bunch, (4-12) and hopefully you can get the rest.  If not let me know and I can more carefully work you through some others on here.

4)  So first we need the angle.  How do we find that?  Well, we know it's somewhere between 270 and 360 degrees (or 3pi/2 and 2pi radians) since it's in the fourth quadrant.    The method to finding the angle is ifferent for each quadrant, but it's nice to know around where you'll get.  Anyway,, if we take 360 and subtract that little space  that is unlabeled  we will know  the rest.    Hopefully that makes sense, but let me know if not, it's important to understand.  Maybe think of what happens if you add the two together, you get around the whole circle then.  

Anyway, to find that little sliver, we are going to construct a right triangle wherethe x axis is one side.  If you draw a line connecting point p and the x axis you have this right triangle.  I am going to call this sliver we don't know s.  ANyway, now we use trig here.  

s = arcsin(3/5) (you can find 5 pretty easily but let me know if you don't see it.)

You may think to use -3 instead of 3, and  it wouldn't be a huge mistake, it will just give you the negative version of what we want.  

Anyway, now we know theta is 360-s (or 2pi-s).  You can solve s or leave it as arcsin(3/5) so you don't have to round.

Now we can solve the trig functions.  If you don't know the sum and difference trig identities  you will have to round.  They are pretty simple formula though.  For instance, sin(2pi - arcsin(3/5)) = sin(2pi)cos(arcsin(3/5))-cos(2pi)sin(arcsin(3/5)) = 0 - 3/5 = -3/5  You will also want to know that s = arcsin(3/5) = arccos(4/5) = arctan(3/4).  ROunding will get you close but not exact.

Again, let me know ifyou need any more help, they should just be a lot of doing the same thing over and over and over again though.  

14)  For 14 and 16 you just need to know how the graphs of sin, cos and tan look.  Is this something you have trouble with?  Like could you draw the graphs at the intervals of increasing/ decrasing and all.  if not I can give a quick explanation.

Answer:

d=1/2

Step-by-step explanation:

9(8d-5)+13=12d-2

1) Use the distributive property:

72d-45+13=12d-2

2) Combine alike terms:

72d-32=12d-2

3) Add 32 to both sides:

72d=12d+30

4) Subtract 12d on both sides:

60d=30

5) Divide both sides by 60:

d=30/60

6) Simplify 30/60 to 1/2

Answer:

3x + 7y - z = -5

Step-by-step explanation:

[tex]3(10) + 7(-3) - 14 = -5 \\ \\ 30 - 21 - 14 = -5[/tex]

I am joyous to assist you anytime.

The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.

Answer:

Step-by-step explanation:

First multiply the number outside of the parentheses (-3) by the first number inside the parentheses (z). Next you can do that same thing but with multiplying the number outside of the parentheses by the second number in the parentheses (2). Then you add your two answers, but since you have a variable in there you just put down the simplified version which is just your two products from before.

Answer:

1/9

Step-by-step explanation:

multiple the two top numbers then multiple the bottom numbers which equals 2/18 and in other forms is 1/9

Answer:

Step-by-step explanation:

Answer:

the new height will be:

d.168 inches

Answer:

168 inches

Step-by-step explanation:

Answer:

number of servings = 5 servings

Explanation:

We are given that each serving is 3/10 of a pint. To know the number of servings of 1.5 pints, we will simply use cross multiplication as follows:

1 serving ....................> 3/10 pint

?? servings ................> 1.5 pints

number of servings = (1.5*1) / (3/10)

number of servings = 5 servings

Hope this helps :)

Answer:

11/2-3/4

11-6/2=5/2

Step-by-step explanation:

This set of problems revolves around simplifying monomials by adding, subtracting, and multiplying them. For example, the subtraction of -2x from -8x would simply result into -6x. A similar approach can be used for other problems.

The question primarily deals with exponents and exponential functions, specifically about simplifying monomials by using the rules of addition, subtraction, and multiplication. Additionally, it wants us to utilize the product rule to simplify further monomials. For instance if we look at problem 10, which asks to subtract -2x from -8x. The subtraction of a negative number is equivalent to addition. So, -8x - (-2x) becomes -8x + 2x which simplifies to -6x. This is just an example, and the similar approach can be used to solve the remainder of the problems.

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Answer:

40,000cm

Step-by-step explanation:

there are 100cm in every meter, so each side of the square is 200cm long. to find the area multiply length times height (the length and the height are equal on a square)

200x200 = 40,000

Answer:

[tex]\boxed{\text{40 000 cm}^{2}}[/tex]

Step-by-step explanation:

A = l²

[tex]A = (\text{2 m})^{2} \times \left (\dfrac{\text{100 cm}}{\text{1 m}}\right )^{2} = \textbf{40 000 cm}^{2}\\\\\text{The area of the painting is $\boxed{\textbf{40 000 cm}^{2}}$}[/tex]

Answer:

x = 10

Step-by-step explanation:

collect like terms, so add 5 to both sides: 2x = 20

divide both sides by 2 to get the value of x: x = 10

Answer:

x=10

Step-by-step explanation:

first, add 5 to both sides. the -5 and +5 cancel out, and 15 + 6 is 20. 2x=20. now divide 2 on both sides. the 2s cancel out and 20/2 is 10, so x=10.

Picture how you show picture if it not paper to sketch on

To solve the system of equations y = 2x - 5 and y = x² - 5, use algebraic methods such as factoring or the quadratic formula to find the x-values. Then plug these values back into one of the original equations to find the corresponding y-values. The solutions to the system of equations are (5, 5) and (-2, -9).

To solve the system of equations y = 2x - 5 and y = x² - 5, we can set the two equations equal to each other since they both equal y. This gives us the quadratic equation x² - 2x - 10 = 0. We can solve this quadratic equation by factoring, completing the square, or using the quadratic formula.

Factoring the quadratic equation, we get (x - 5)(x + 2) = 0. This means that x - 5 = 0 or x + 2 = 0. Solving these two equations gives us x = 5 or x = -2. Substituting these values back into either of the original equations, we can find the corresponding y-values. For x = 5, y = 2(5) - 5 = 5. For x = -2, y = 2(-2) - 5 = -9. Therefore, the solutions to the system of equations are (5, 5) and (-2, -9).

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Answer:

x = - 3 is extraneous

Step-by-step explanation:

Given

[tex]\sqrt{x+7}[/tex] - 1 = x  ( add 1 to both sides )

[tex]\sqrt{x+7}[/tex] = x + 1 ( square both sides )

x + 7 = (x + 1)² ← distribute right side

x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )

0 = x² + x - 6 ← in standard form

0 = (x + 3)(x - 2) ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions.

x = - 3 : [tex]\sqrt{-3+7}[/tex] - 1 = [tex]\sqrt{4}[/tex] - 1 = 2 - 1 = 1 ≠ - 3

x = 2 : [tex]\sqrt{2+7}[/tex] - 1  = [tex]\sqrt{9}[/tex] - 1 = 3 - 1 = 2

x = 2 is a solution and x = - 3 is extraneous

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____________________

Step-by-step explanation:

Look at the photo below for the answer.

:)

Answer:

Exact form: 11/125

Decimal Form: 0.088

Step-by-step explanation:

Answer: [tex]\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]

Step-by-step explanation:

We can use the Rational Root Test.

Given a polynomial in the form:

[tex]a_nx^n +a_{n- 1}x^{n - 1} + … + a_1x^1 + a_0 = 0[/tex]

Where:

- The coefficients are integers.

- [tex]a_n[/tex] is the leading coeffcient ([tex]a_n\neq 0[/tex])

- [tex]a_0[/tex] is the constant term [tex]a_0\neq 0[/tex]

Every rational root of the polynomial is in the form:

[tex]\frac{p}{q}=\frac{\pm(factors\ of\ a_0)}{\pm(factors\ of\ a_n)}[/tex]

For the case of the given polynomial:

[tex]2x^7+3x^5-9x^2+6=0[/tex]

We can observe that:

- Its constant term is 6, with factors 1, 2 and 3.

- Its leading coefficient is 2, with factors 1 and 2.

 Then, by Rational Roots Test we get the possible rational roots of this polynomial:

[tex]\frac{p}{q}=\frac{\pm(1,2,3,6)}{\pm(1,2)}=\pm\frac{1}{1}, \pm\frac{1}{2},\pm\frac{2}{1},\pm\frac{3}{1}, \pm\frac{3}{2}[/tex]

The possible rational roots of the polynomial equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6.[/tex] are ±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.

Given equation [tex]0 = 2x^7 + 3x^5 - 9x^2 + 6[/tex].

The Rational Root Theorem states that if there are any rational roots (fractions in the form p/q) for the polynomial equation, then p must be a factor of the constant term (in this case, 6), and q must be a factor of the leading coefficient (in this case, 2).

So, the possible rational roots (fractions p/q) for this polynomial are all the combinations of p and q, where:

p is a factor of 6, and

q is a factor of 2.

The factors of 6 are ±1, ±2, ±3, and ±6.

The factors of 2 are ±1 and ±2.

So, the possible rational roots are all the combinations of these factors:

±1/1, ±2/1, ±3/1, ±6/1, ±1/2, ±2/2, ±3/2, and ±6/2.

Simplify these fractions:

±1, ±2, ±3, ±6, ±1/2, ±1, ±3/2, and ±3.

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[tex]\huge\boxed{\text{A.}\ x=-3}[/tex]

Start by subtracting [tex]2x[/tex] from both sides of the equation. Our goal is to isolate the variable. [tex]5+4x=-7[/tex]

Now, subtract [tex]5[/tex] on both sides. [tex]4x=-12[/tex]

Finally, divide both sides by [tex]4[/tex]. [tex]x=\boxed{-3}[/tex]

Answer:

A. x = -3

Step-by-step explanation:

5 + 6x = 2x - 7

5 + 7 = 2x - 6x

12 = -4x

12/-4 = x

-3 = x

Answer:

240 liters

Step-by-step explanation:

because the tank holds 240 liters so if it's full then it will be the same

In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.

Given that

A tank holds 240 liters of water.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
As mentioned in the condition the tank can hold 240 liters of water, so as of the given data when the tank is full there can only be 240 liters of water.

Thus, In the tank, there are 240 liters of water, as mentioned in the given condition. Option A is correct.

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Answer:

More students chose math

Step-by-step explanation:

4/25 can be converted into a percent and percents are out of 100, so 25x4 is equal to 100 and 4 x 4 is equal to 16

so 4/25 is 16%

    0.28 is 28%    Because you move the decimal to places to the right

Answer:

Step-by-step explanation:

10x = 10 · x =(10)(x)

The numerical coefficient of the term 10x is 10.

Answer:

it will take 80 minutes

Step-by-step explanation:

Total no.of rows=10

Time taken to plant 3 rows = 24 min

So,find time taken for planting 1 row

which is =24/3=8min

total time taken to plant 10 rows=8×10=80min

so it takes 80 min to plant 10 rows

It takes 8 minutes to plant one row of the garden and therefore to plant all 10 rows, it will take a total of 80 minutes.

This question is asking for the total time it would take to plant a garden with 10 rows of vegetables if it took 24 minutes to plant the first 3 rows. First, we need to understand how long it takes to plant one row. To find this out, we divide the total amount of time (24 minutes) by the number of rows planted in that time (3 rows). This gives us how long it takes to plant one row: 24 minutes ÷ 3 rows = 8 minutes per row. Now that we know this, we can work out how long it would take to plant all 10 rows. We do this by multiplying the time it takes to plant one row (8 minutes) by the total number of rows we need to plant (10 rows). This gives us the total time: 8 minutes per row x 10 rows = 80 minutes. So, it would take 80 minutes to plant all 10 rows of the garden.

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Answer:

35,000^10

Step-by-step explanation:

multiply 7,000 and 50 first (350,000) then erase the last 0 (35,000) then raise it to 10 (35,000^10)

Answer:

4/7

Step-by-step explanation:

Given 5/12 and 4/7

we see that a common denominator for both fractions could be 12 x 7 = 84, hence we can express both fractions with a denominator of 84

5/12 = (5/12) x (7/7) =  35/84

4/7 = (4/7) x (12/12) = 48/84

now comparing 35/84 and 48/84, we can see that 48/84 is larger, which corresponds to 4/7, hence 4/7 is larger