The function s(t) = t2+2t+5shows the height s(t), in feet, of a water balloon after t seconds. A second water balloon moves in the air along a path represented by p(t)=11+3t where p(t) is the height, in feet, of the balloon from the ground at time t seconds
Part A: Create a table using integers 1 through 4 for the two functions. What is the solution for s(t) = p(t)? How do you know? Include the table in your answer.

Part B: Explain what the solution from Part A means in context of the problem.

Answer:

[tex]slope = \frac{ - 1 - 4}{0 - 2} \\ = \frac{ - 5}{ - 2} \\ = { \tt{ \frac{5}{2} }}[/tex]

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

Answer:

No its doesn't satisfy the equation.

[tex]{ \bf{area = 2(l + w)}} \\ { \tt{48 = 2((x + 10) + (x - 3))}} \\ { \tt{24 = 2x + 7}} \\ 2x = 17 \\ x = 8.5 \\ \\ { \bf{in : \: {x}^{2} + 7x - 78 = 0 }} \\ x = 6 \: \: and \: \: - 13[/tex]

Answer:

.

Step-by-step explanation:

Answer:

(- 1, - 1 )

Step-by-step explanation:

Given the 2 equations

x = 4y + 3 → (1)

2x + y = - 3 → (2)

Substitute x = 4y + 3 into (2)

2(4y + 3) + y = - 3 ← distribute parenthesis and simplify left side

8y + 6 + y = - 3

9y + 6 = - 3 ( subtract 6 from both sides )

9y = - 9 ( divide both sides by 9 )

y = - 1

Substitute y = - 1 into (1) for corresponding value of x

x = 4(- 1) + 3 = - 4 + 3 = - 1

solution is (- 1, - 1 )

Answer:

c: y=(x-1)(x-3)

Step-by-step explanation:

Answer:

.92

Step-by-step explanation:

sin A = opp side/ hypotenuse

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 +7^2 = AC ^2

9+49 = AC ^2

58 = AC^2

Taking the square root

sqrt(58) = hypotenuse

sin A = 7/sqrt(58)

sin A =.91914503

sin A = .92

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

Answer:

192 oz

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]

2) Solve for x

[tex]\frac{8}{10} =\frac{x}{240}[/tex]

Multiply both sides by 240

[tex]\frac{8}{10} *240=x\\192=x[/tex]

Therefore, Michele would need 192 oz of mayonnaise.

I hope this helps!

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

Step-by-step explanation:

Hello,

The first transform E1 is the homothetie of center (0,0) and ratio=2

The second transform E2 is the homothetie of center (0,0) and ratio=3/2

P=(3,k)

P'=E1(P)= E1((3,k))=(2*3,2*k)=(6,2k)

P''=E2(P')=E2(6,2k)=(3/2*6,3/2*2*k)=(9,3k)=(9,12)

==> 3k=12

k=4

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

Answer:

1/12 mile

Step-by-step explanation:

We can use a ratio to solve

7/12 miles       x miles

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

7 minutes       1 minute

Using cross products

7 /12 * 1 = 7x

Divide each side by 7

7/12 * 1/7 = x

1/2 = x

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

⠀

Randy walks 7/12 miles in 7 minutes

Sooo

He walks in one minutes is

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

he walks in 1 minutes is 1/12 miles.

Answer:

mcd(28,48) = 4

Para encontrar el mcd de 28 y 48:

Los factores de 28 son 28, 14, 7, 4, 2, 1.

Los factores de 48 son 48, 24, 16, 12, 8, 6, 4, 3, 2, 1.

Los factores en común de 28 y 48 son 4, 2, 1, los cuales intersectan los dos conjuntos arriba.

En la intersección de los factores de 28 ∩ factores de 48 el elemento mayor es 4.

Por lo tanto, el máximo común divisor de 28 y 48 es 4.

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

Answer:

12,-2

Step-by-step explanation:

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

tan=sin/cos so tan=3/5/4/5=3/4

Answer:

SOH CAH TOA

3/5 opposite over hypotenuse

4/5 adjasent over hypotenuse

tan= opposite over adjasent which is 3/4

Step-by-step explanation:

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

0

Step-by-step explanation:

maybe

Answer:

1) 0 miles

2) (0,0)

3) the cars speed is missing? 3 * speed would be this answer

4) (3, "3*speed" )  something like (3,30) if car was going 10mph

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!

Hi there!

[tex]\large\boxed{x = 38.5}}[/tex]

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

Given:

The fees for a day student are $600 a term.

The fees for a boarding student are $1200 a term.

The school needs at least $720000 a term.

To show:

That the given information can be written as [tex]x + 2y\geq 1200[/tex].​

Solution:

Let x be the number of day students and y be the number of boarding students.

The fees for a day student are [tex]\$600[/tex] a term.

So, the fees for [tex]x[/tex] day students are [tex]\$600x[/tex] a term.

The fees for a boarding student are [tex]\$1200[/tex] a term.

The fees for [tex]y[/tex] boarding student are [tex]\$1200y[/tex] a term.

Total fees for [tex]x[/tex] day students and [tex]y[/tex] boarding student is:

[tex]\text{Total fees}=600x+1200y[/tex]

The school needs at least $720000 a term. It means, total fees must be greater than or equal to $720000.

[tex]600x+1200y\geq 720000[/tex]

[tex]600(x+2y)\geq 720000[/tex]

Divide both sides by 600.

[tex]\dfrac{600(x+2y)}{600}\geq \dfrac{720000}{600}[/tex]

[tex]x+2y\geq 1200[/tex]

Hence proved.