i will give brainliest<3

Answer:

Step-by-step explanation:

-1 = -3x + 5

add 3x on both sides

3x - 1 = 5

add 1 on both sides

3x = 6

divide both sides by 3 to get x by itself

x = 2

Given:

Focus of a parabola is (0, -12) and directrix is y = 12.

To find:

The equation of the parabola.

Solution:

General form of a parabola is

[tex](x-h)^2=4p(y-k)[/tex]       ...(i)

where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Focus is (0, -12).

[tex](h,k+p)=(0,-12)[/tex]

[tex]h=0[/tex]

[tex]k+p=-12[/tex]         ...(ii)

Directrix is y = 12.

[tex]k-p=12[/tex]      ...(iii)

Adding (ii) and (iii), we get

[tex]2k=0[/tex]

[tex]k=0[/tex]

Putting k=0 in (ii), we get

[tex]0+p=-12[/tex]

[tex]p=-12[/tex]

Putting h=0, k=0 and p=-12 in (i).

[tex](x-0)^2=4(-12)(y-0)[/tex]

[tex]x^2=-48y[/tex]

[tex]-\dfrac{1}{48}x^2=y[/tex]

Therefore, the required equation of parabola is [tex]y=-\dfrac{1}{48}x^2[/tex].

Answer:

11 miles.

Step-by-step explanation:

[tex]\frac{16 gallons}{400 miles} =\frac{x}{275 m}[/tex]

So x is the number of miles. This is a ratio problem, so if we had a situation like 1:2, when 1 changes 2 will accordingly change. 2:4. And 1:2 = 2:4.

So now to solve the equation. Cross multiply 16 and 275 = 4400. Cross multiply 400 and x. You'll end up with an equation like 400x = 4400. Then solve and you'll get x = 11. Hope this helps!

Answer:

$6414

Step-by-step explanation:

Step one

given

Principal=$2,000

rate= 6%= 0.06

Time= 20 years

Required

The final amount.

Step two:

The compound interest formula is

A= P(1+r)^t

substituting we have

[tex]A=2000(1+0.06)^2^0\\\\ A= 2000(1.06)^2^0\\\\ A=2000*3.207\\\\A=6414[/tex]

The amount given to the college is $6414

Answer:

-5/4 or -1.25

Step-by-step explanation:

the points are (-6, -3) and (-2, -8)

the formula for slope is y2-y1/x2-x1

y2 is -8

y1 is -3

x2 is -2

x1 is -6

(-8+3)/(-2+6)

(-5)/(4)

-5/4 or -1.25

Answer:

See below

Step-by-step explanation:

Given function

We can find its factors:

We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)

Also one of zeros of the function is -3

Answer:

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance

null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women

Step-by-step explanation:

Step(I):-

Given surveyed two random samples of 390 men and 360 women who were tested

first sample proportion

                    [tex]p_{1} = \frac{360}{390} = 0.9230[/tex]

second sample proportion

                  [tex]p_{2} = \frac{47}{52} = 0.9038[/tex]

Step(ii):-

Null hypothesis : H₀ : There is no difference  proportion of positive tests among men is different from the proportion of positive tests among women

Alternative Hypothesis:-

There is difference between proportion of positive tests among men is different from the proportion of positive tests among women

[tex]Z = \frac{p_{1}- p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } } }[/tex]

where

          [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1}+n_{2} }[/tex]

         P =  0.920

[tex]Z= \frac{0.9230-0.9038}{\sqrt{0.920 X0.08(\frac{1}{390}+\frac{1}{52} } )}[/tex]

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

Null hypothesis is accepted

There is no difference proportion of positive tests among men is different from the proportion of positive tests among women







Answer:

9 scoops

Step-by-step explanation:

If 10 cookies took 2 scoops of flour, then 4 scoops would make 20 cookies, 6 scoops would make 30, 8 scoops would make 40. If you need 5 cookies, then split 2 scoops in half, which would be one scoop. 8 scoops(which is 40 cookies)+ 1 scoop(5 cookies) = 9 scoops (45 cookies)

Answer: 5

Step-by-step explanation:

Answer:

5^2 or 5 to the power of 2

Step-by-step explanation:

5x5=25

Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

Step-by-step explanation:

From the question we are told that

    The  sample size is  n =  50  

    The  population mean is [tex]\mu = 4[/tex]

     The  sample mean is [tex]\= x = 3.79[/tex]

     The standard deviation is [tex]\sigma = 1.2[/tex]

     The  level of significance is  [tex]\alpha = 0.10[/tex]

The  null hypothesis is  [tex]H_o : \mu = 4[/tex]

The alternative hypothesis is [tex]H_a : \mu \ne 4[/tex]

Generally  the  test statistics is mathematically represented as

         [tex]z = \frac{ \= x - \mu }{ \frac{ \sigma }{ \sqrt{n}} }[/tex]

=>      [tex]z = \frac{ 3.79 - 4 }{ \frac{1.2}{ \sqrt{50}} }[/tex]

=>       [tex]z = -1.237[/tex]

From the z table  the area under the normal curve to the left corresponding to    -1.237  is    

         [tex]P(Z < -1.237) = 0.10804[/tex]

Generally the p-value is mathematically represented as

        [tex]p-value = P(Z < -1.237) = 2 * 0.10804[/tex]

=>    [tex]p-value = 0.21608[/tex]

Generally  from the values obtained we see that

       [tex]p-value > \alpha[/tex]

Hence

The decision rule is

Fail to reject the null hypothesis

 The conclusion is

There is  no sufficient evidence to conclude that the average is a different number for college students

9514 1404 393

Answer:

  see attached (blue line)

Step-by-step explanation:

The slope in the first interval (0 to 2) will be -1, down from the y-intercept of 1.

The slope in the second interval will be 2. After that, the slope is zero, so the graph is a horizontal line.

The blue line in the attached is the graph of f(x).

Answer:

[tex] \angle PQR [/tex], [tex] \angle SQR [/tex], and [tex] \angle PQS [/tex]

Or

angle PQR, angle SQR and angle PQS

Step-by-step explanation:

The three different angles in the diagram are angle PQR, angle SQR and angle PQS.

Another way of writing this is using an angle sign before the alphabets follows. Thus:

[tex] \angle PQR [/tex], [tex] \angle SQR [/tex], and [tex] \angle PQS [/tex]

Answer:

a) F(d)=350+0.06d

b)$390.2

Step-by-step explanation:

350+0.06(670)=390.2

Answer:

The factorized form of 2x + 8 is 2(x+4).

Step-by-step explanation:

Given the expression

Let us factorize the expression

2x + 8

Rewrite 8 as 2·4

[tex]2x\:+\:8=2x+2\cdot \:\:4[/tex]

Factor out common term 2

           = 2(x+4)

Therefore, factorized form of 2x + 8 is 2(x+4).

(a)

KE = m v^2 / 2 = (1200 kg)(20 m/s)^2 / 2 = 240,000 J

(b)

The energy is entirely dissipated by the force of friction in the brake system.

(c)

W = delta KE = KEf - KEi = (0 - 240,000) J = -240,000 J

(d)

Fd = delta KE

F = (delta KE) / d = (-240,000 J) / (50 m) = -4800 N

The magnitude of the friction force is 4800 N.

mark brainliest if correct

Answer:

30

Step-by-step explanation:

it's x2 for the rest and 15x2 =30

Answer:

3.6%

Step-by-step explanation:

The formula for percent error is [ |va-ve/ve| * 100% ].

1200-1158/1158 * 100%

42/1158 * 100%

0.036 * 100%

3.6%

Best of Luck!

The percentage error should be 3.6%

Given that,

Based on the above information, the calculation is as follows:

[tex]= (1200-1158)\div 1158 \times 100\%\\\\= 42\div 1158 \times 100\%\\\\= 0.036 \times 100\%\\\\[/tex]

= 3.6%

learn more; https://brainly.com/question/1691136?referrer=searchResults

Answer:

your answer is -120

Step-By-Step Explanation:

2(-3)^3 - 9(-3)^2 -5(-3)

2 (-27) - 9(9) +15

-54 -81 +15

-135 +15

-120

i hope this helps :)

Answer: -120

Hope this helps :)

8.25 x 22 = 181.5

181.5 divided by 60 = 3.025

each month, they would work about 3 hours

Answer:

U have $41.79 left i hope it is helpful have a nice day and merry Christmas

if you have $49.68 to spend and buy a $7.89 gingerbread set, you'll have 1 amazing gingerbread house.

Answer:

The number of times Saba's further is 4, because 12/3 = 4

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

hope this helps

Answer:

2+24+40+39-(33-30)

105-33+30

135-33

132

Answer:

2

Step-by-step explanation:

2 seems to be the only one that is correct

Correct Statements: (modified the statements that are incorrect)

1. The coordinates of point A are (-3, 3)

2. Already correct

3. The coordinates of point C are (-2, -2)

4. Point B is the closest to the y-axis (only one away)

5. Point A is 3 away and Point B is 1 away

(sorry if this is confusing but this is what I got)

Answer:

4.778 ounces

Step-by-step explanation:

Given that:

Ounces of orange juice in mixed fruit juice = 1.872

Ounces of mixed fruit juice = 6.65 ounces

Ounces of Mixed fruit juice that is not orange juice :

(Ounces of mixed fruit juice - Ounces of orange juice)

(6.65 - 1.872) ounces

= 4.778 ounces

Answer:

For Triangle 1

a. Hypothenus = 4

b. Adjacent = 2√3

For Triangle 2:

a. Hypothenus = 2√2

b. Adjacent = 2

Step-by-step explanation:

For Triangle 1

NOTE: We shall be using angle 30°.

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 30°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 30 = 2 / Hypo

0.5 = 2 / Hypo

Cross multiply

0.5 × Hypo = 2

Divide both side by 0.5

Hypo = 2 / 0.5

Hypothenus = 4

b. Determination of the Adjacent

NOTE: We shall be using angle 30°.

Opposite = 2

Angle (θ) = 30°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 30 = 2 / Adj

1 / √3 = 2 / Adj

Cross multiply

1 × Adj = 2 × √3

Adjacent = 2√3

For Triangle 2:

a. Determination of the Hypothenus.

Opposite = 2

Angle (θ) = 45°

Hypothenus =?

Sine θ = Opposite /Hypothenus

Sine 45 = 2 / Hypo

1 / √2 = 2 / Hypo

Cross multiply

1 × Hypo = 2 × √2

Hypothenus = 2√2

b. Determination of the Adjacent

Opposite = 2

Angle (θ) = 45°

Adjacent =?

Tan θ = Opposite / Adjacent

Tan 45 = 2 / Adj

1 = 2 / Adj

Cross multiply

1 × Adj = 2

Adjacent = 2

Take off 3 of the pennies and the 5 that remain would be 3 nickels and 2 dimes

2 dimes=20 cents

3 nickels = 15 cents

3 pennies=3 cents

Or these 8 coins = 38 cents

Answer:

7. 33 degrees

8. 17 degrees

9. 41 degrees

10. 75 degrees

This is all i can do I'd have to look up how to do 11-13

I hope this helps a little

Step-by-step explanation:

Answer:

slope of the line 3y = 2x - 9 , m = 2/3

therefore slope of line perpendicular to given line

m2 = -1/m1 = -3/2

then the general equation of line with slope -3/2 is given by

y = -3/2 ( x ) + c

where c = y-intercept which can be found when more data is provided

1st box: x

2nd box: y

3rd box: 3

4th box: 0

Answer:

Volume=972π units cubed.

Step-by-step explanation:

The formula for the volume of a sphere is:

V=4/3πr^3

where r=radius

and v=volume

so we know the radius of the sphere in the diagram is 9 cm

so r=9 cm

we can subsitute this into the formula and solve.

V=4/3π(9^3)

V=4/3π*729

V=972π units cubed.