Please help due in 10mins

Step-by-step explanation:

did you leave something out ?

(5p + 3)(p + 1) = 5p×p + 5p×1 + 3×p + 3×1 =

= 5p² + 5p + 3p + 3 = 5p² + 8p + 3

at no point do we have 5 terms to sum up. but 4 and then finally 3, yes.

but we always have also additions, not only multiplications (products).

so, none of the 2 options is correct.

we could, of course. start with the initial expression, that shows the product of 2 factors and multiply by 1×1

(5p + 3)(p + 1)×1×1

then we have the expression as product of 4 factors.

in the same way we could bump up the sum scenario by adding one or 2 0s : tadah ! sum of 5 terms.

I strongly suspect there is something missing in the problem description.

Answer:

Neither is correct.

Step-by-step explanation:

Answer:

-2(7+2n) +4 = 5

step by step explantation:

-2(7-n) +4

-2×7 =-14

-2x-n = 2n

14+2n = 4

2n = 14 - 4

2n/ 2= 10/2

n= 5

Answer:

3/25

Step-by-step explanation:

Answer: car a must be meet to cannot be so your aner is a

Step-by-step explanation:

Answer: Im not sure

Step-by-step explanation:

You didnt list the options therefore i cant answer this for you. :I

Using algebraic expressions and equations, Carol should buy 2 t-shirts and 9 sweatshirts.

We can set up an algebraic expressions and equations to determine how many of each type of gift should Carol buy.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

1. Write an equation for the total number of members.

x + y = 11   (equation 1)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

2. If each t-shirt costs $5 and each sweatshirt costs $12, write an equation for the total amount spent buying the gift.

$5(x) + $12(y) = $118     (equation 2)

where x is the number of members who will get t-shirt

y is the number of members who will get sweatshirt

3. Rewrite equation 1 as an equation of y in terms of x.

x + y = 11   (equation 1)

y = 11 - x

4 . Plug in the expression for y in equation 2 and solve for x.

$5(x) + $12(y) = $118     (equation 2)

5x + 12(11 - x) = 118

5x + 132 - 12x = 118

-7x = -14

x = 2

5. Substitute the value of x in either equation 1 or 2 and solve for x.

x + y = 11   (equation 1)

2 + y = 11

y = 11 - 2

y = 9

Hence, Carol should buy 2 t-shirts and 9 sweatshirts.

Checking,

2 + 9 = 11

Each member will receive a gift.

2($5) + 9($12) =$118

Carol will be spending $118 for the gifts.

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The best description of the domain of the function is (c) all whole numbers

The function is given as

C(t) = 0.05t + 20

The input variable of the above function is t

t represents the number of text messages

The number of text messages cannot be negative

Hence, the best description of the domain of the function is (c) all whole numbers

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The set of all such points is a sphere center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

what is the sphere?

The standard form of the equation of a sphere with center (a ,b ,c) and radius r is

( x -a)² + ( y-b)² + ( z - c)² = r²

We let P = ( x, y,z ) be an arbitrary point which satisfies the given conditions. Then

[tex]\sqrt{(x - 1)^{2} + ( y - 5)^{2} + (z - 3)^{2} } = 2 \sqrt({x - 6)^{2} + ( y - 2 )^{2} +( z - 3)^{2} }[/tex]

Squaring both sides of this equation and simplifying yields

( x - 1)² + ( y - 5)² + ( z -3)² = 4 [ (x - 6)² + ( y- 6 )² + ( z - 3)²

( 3x² - 46x + 143 ) + ( 3y² - 38y + 119 ) + ( 3z² - 18z + 27 ) = 0

Next, we complete the square for each variable to obtain

( x - 23/3)²  + ( y - 19/3)² + ( z - 3 )² = 332/9

Thus the set of all such points P forms a sphere, with

center c = ( 23/3 , 19/3 , 3 ) r = 2√83/9

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Answer:

31/35

Step-by-step explanation:

3/5 + 2/7 = (3 × 7) / (5 × 7)  + (2 × 5) / (7 × 5)

= 21/35 + 10/35

= 31/35.

The numbers have absolute values that differ by 1, and the number with the larger absolute value is positive.

Using the probability concept, it is found that 60% of the swim team are sophomores.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The sum of the probabilities of all outcomes of an event is of 1, hence:

P(freshman) + P(sophomore) = 1.

The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected, hence:

x + 3/2x = 1.

5/2x = 1

5x = 2

x = 0.4.

Thus:

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The value of FG is 32.

The drawing is attached with this.

Given that,

Value of EF = 11

Value of EG = 21

From the above given data we can assume that F and G be the corner points.

E is the point lie between F and G.

We have to find the value of FG. It may be a straight line.

So,

Value of FG = Value of EF + Value of EG

FG = 11 + 21

FG = 32

That is, the value of FG is 32.

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Answer:

x is equal to 15.

Step-by-step explanation:

In this problem, it is said that ΔABC ~ ΔXYZ. This means that the shapes are the same, however they are not the same size. Here the problem is asking for the value of x when the triangle is scaled up.

Look on the triangles for where there are values on both ABC and XYZ. Notice that the hypotenuse for both triangles have a value.

The hypotenuse of triangle XYZ is 10, while the hypotenuse of triangle ABC is 25. Dividing both of those results by 10 results in a 1:2.5 ratio, meaning that the values of triangle ABC are 2.5 times larger than the values of triangle XYZ.

Knowing this, take the value of XZ on triangle XYZ, and multiply it by 2.5 to get the value of AC on triangle ABC, or x.

6 * 2.5 = 15

The value of x is 15.

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar that means that the sides are proportional.  There are a couple of ways to find x.  One way is to find the scale factor.  We can use the two corresponding sides that we know.  25 and 10 are corresponding sides.  They are both the hypotenuse of their triangles or you can say that they are both the side across from the 90 degree angle.

There is some number that I can multiple 10 by to get 25.  This is my scale factor.  This is how I can find it.

Let s = the scale factor.

10s = 25  Divide both sides of the equation by 10

s = 2.5  This means that each side of the larger triangle is 2.5 times longer than each side of the original triangle.  

To find x.  Find is corresponding side on the right and take that length and multiple it by 2.5

6 x 2.5 = 15

Another way is to set up a proportion.

[tex]\frac{10}{6}[/tex] = [tex]\frac{25}{x}[/tex]    I could cross multiply and solve for x

10x = (6)(25)

10x = 150  Divide both sides by 10

x = 15

a) The distance of the plane from the airport is approximately 781.025 miles.

b) The bearing of the airplane in standard position is approximately 320.194°.

Let the location of the airport be the origin and the orthogonal axes are oriented to the east and north, respectively. Beside, let consider that the plane moves at constant speed. a) Thus, the distance of the plane can be found by using the Pythagorean Theorem:

d = √[[(240 mi / h) · (2.5 h)]² + (500 mi)²]

d ≈ 781.025 mi

b) And the bearing in standard position is determined by the following inverse trigonometric function:

θ = tan⁻¹ [(- 500 mi) / [(240 mi / h) · (2.5 h)]]

θ ≈ 320.194°

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The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

[tex]\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}[/tex]

y = x - 2

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A ratio can be introduced as an ordered pair of numbers, and it can be represented as x:y.

A ratio can be introduced or described as an ordered pair of numbers.

For example, given two numbers x and y, where y is not equal to 0, the ratio can be represented as follows:

x:y

For example, let x represent the number of plates and equal to 2, and y represents the number of spoons and equal to 5, we will have the ratio as follows:

2:5

The ratio 2:5 implies that for every 2 plated there are 5 spoons.

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Answer: 12 hours

Step-by-step explanation: divided 24 by 4, which equals to 6, if Jack worked 2/4 of the day, he would have worked half the day, which is 12 hours.

Approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

To fin the circumference:

So,

Therefore, approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

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Answer:

Step-by-step explanation:

12 = 12 + v - (8/2)

12 = 12 + v - 4

12 - 12 = v - 4

v = 4

The velocity of a particle = i + 2t j

The acceleration of a particle = 2 j

The speed of a particle = [tex]\sqrt{1 + 4t^{2} }[/tex]

Here,

The position function is, [tex]r (t ) = ti + t^{2} j +2k[/tex]

We have to find, the velocity, acceleration, and speed of a particle with the given position function.

What is Velocity of a particle with the given position function?

The instantaneous velocity v(t) of a particle is the derivative of the position with respect to time. That is, v(t)=dx/dt.

Now,

The position function is, [tex]r (t ) = ti + t^{2} j +2k[/tex]

The velocity of a particle = [tex]\frac{d r(t)}{dt}[/tex]

[tex]r (t ) = ti + t^{2} j +2k[/tex]

[tex]\frac{d r(t)}{dt} = i + 2t j[/tex]

The acceleration of a particle = [tex]\frac{d^{2} r(t)}{dt^{2} }[/tex]

[tex]r (t ) = ti + t^{2} j +2k[/tex]

[tex]\frac{d r(t)}{dt} = i + 2t j[/tex]

[tex]\frac{d^{2} r(t)}{dt^{2} }= 2j[/tex]

The speed of a particle = [tex]| \frac{d r(t)}{dt}| = |v(t)|[/tex]

[tex]\frac{d r(t)}{dt} = i + 2t j[/tex]

[tex]|v(t)|=\sqrt{1 + 4t^{2} }[/tex]

Hence, The velocity of a particle = [tex]i + 2t j[/tex]

The acceleration of a particle = [tex]2 j[/tex]

The speed of a particle = [tex]\sqrt{1 + 4t^{2} }[/tex]

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[tex] \: \Large \mathbb{SOLUTION:}[/tex]

[tex] \: \: \rm{ {7x}^{2} + 4x - {x}^{2}}[/tex]

[tex] \: \: \text{Reorder and gather like terms}[/tex]

[tex] \: \: \rm{( {7x}^{2} - {x}^{2} ) + 4x}[/tex]

[tex] \: \: \text{Collect coeffiecients of like terms}[/tex]

[tex] \: \: \rm{(7 - 1) {x}^{2} + 4x}[/tex]

[tex] \: \: \text{Calculate the sum or difference}[/tex]

[tex] \: \: \rm{ \underline{ \underline{ {6x}^{2} + 4x}}}[/tex]

[tex] \rm{6x {}^{2} + 4x}[/tex]

Collect like terms

[tex] \red{7x {}^{2} } + 4x \red{ - x {}^{2} }[/tex]

[tex] \red{6x {}^{2} } + 4x [/tex]

Answer: The approximately percent uncertainty for the measurement is 0.62%.

Step-by-step explanation:

The given parameters:

Area of the measurement, A = 1.59 m²

The uncertainty in the measurement of the area = ±0.01 m²

The approximately percent uncertainty for the measurement is calculated as follows;

[tex](0.01/1.59)*100[/tex] %

=0.62%

Thus, the approximately percent uncertainty for the measurement is 0.62%.

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Answer: 0.6 percent.

Step-by-step explanation:   to find the uncertainty , we will take that absolute uncertainty _0.01 divided by the measurement of 1.59 _ times by a hundred percent and we get 0.6 percent.

Using the given equation, the missing values in the table are:

x            y

32         14

12          9

0           6

-8          4

-36       -3

Given the equation, y - 6 = x/4, we can rewrite the equation as:

y = x/4 + 6

For x = 12, we have:

y = 12/4 + 6 = 3 + 6

y = 9

For x = 0, we have:

y = 0/4 + 6 = 0 + 6

y = 6

For y = 4, we have:

4 = x/4 + 6

4 - 6 = x/4

-2 = x/4

-8 = x

x = -8

For y = -3, we have:

-3 = x/4 + 6

-3 - 6 = x/4

-9 = x/4

-36 = x

x = -36

Thus, using the given equation, the missing values in the table are:

x            y

32         14

12          9

0           6

-8          4

-36       -3

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Answer:

49

Step-by-step explanation:

The ratio of three numbers = 2:5:7

Then the numbers are 2x,5x and 7x

Given that the LCM of these numbers  = 490

LCM of 2x,5x,7x is 2×5×7×x = 70x

Then, we have 70x = 490

x  = 7

Hence, the numbers are 14, 35 and 49

Largest number = 49

∴The square root of the largest number = 7

Answer:

27 students

Step-by-step explanation:

Split 18 into 2 to find 1/3. 18/2= 9

9= 1/3

18= 2/3

27= 3/3 or 1

Answer:

There are 27 students.

Step-by-step explanation:

Given that,

→ 2/3

→ 18 ÷ 2

→ 9 = 1/3

Now the number of students are,

→ x = (2/3) + (1/3)

→ x = 18 + 9

→ [ x = 27 ]

Hence, there are 27 students.

Answer:

21=1×21 or 3×7

Step-by-step explanation:

21 is a composite number.factors of 21:1,3,7,21.

Prime factorization:21=3×7.

since 3 and 7 are the only prime numbers ...

Thanks!!

Answer: 120d + 1,500 = 110d + 2,500

Step-by-step explanation:

Answer:

$1,500 + 120d = $2,500 + 110d

Step-by-step explanation:

Just in case you want the solution as well:

10d = 1000

d = 100