What is the vertex of this parabola y=-5x^2-10x-13

Answer:

[tex]Total\ Selection = 30\ ways[/tex]

Step-by-step explanation:

Given

Girls = 3

Boys = 5

Required

How many ways can 2 boys and girls be chosen?

The keyword in the question is chosen;

This implies combination and will be calculated as thus;

[tex]Selection =\ ^nC_r = \frac{n!}{(n-r)!r!}[/tex]

For Boys;

n = 5 and r = 2

[tex]Selection =\ ^5C_2[/tex]

[tex]Selection = \frac{5!}{(5-2)!2!}[/tex]

[tex]Selection = \frac{5!}{3!2!}[/tex]

[tex]Selection = \frac{5 * 4 * 3!}{3!*2 * 1}[/tex]

[tex]Selection = \frac{20}{2}[/tex]

[tex]Selection = 10[/tex]

For Girls;

n = 3 and r = 2

[tex]Selection =\ ^3C_2[/tex]

[tex]Selection = \frac{3!}{(3-2)!2!}[/tex]

[tex]Selection = \frac{3!}{1!2!}[/tex]

[tex]Selection = \frac{3 * 2!}{1 *2!}[/tex]

[tex]Selection = \frac{3}{1}[/tex]

[tex]Selection = 3[/tex]

Total Selection is calculated as thus;

[tex]Total\ Selection = Boys\ Selection * Girls\ Selection[/tex]

[tex]Total\ Selection = 10 * 3[/tex]

[tex]Total\ Selection = 30\ ways[/tex]

Answer:  21 ft³

Step-by-step explanation:

Let x represent the height of the box.

Then the 5 ft width of cardboard is (5 - 2x) when creating the box

and the 9 ft length of cardboard is (9 - 2x) when creating the box.

Volume = length x width x height

            = (9 - 2x)(5 - 2x)(x)

            = 45x - 28x² + 4x³

Using Calculus to solve for x, set the derivative equal to zero and use the quadratic formula to solve for x:

V' = 45 - 56x + 12x²

0 = 12x² - 56x + 45

x = 3.6, x = 1.0

Use those values to find the width, length, and volume:

height(x)   ×  width (5 - 2x)   ×  length (9 - 2x) = Volume

  3.63       ×       -2.26*                                            

     1          ×          3               ×         7              =    21

*width cannot be negative so the height cannot be 3.63

Answer:

x=10/3

Step-by-step explanation:

isolate the variable

Answer:

1. x = 4

2. x = 10/3

Step-by-step explanation:

1. 3x - 5 = 3 + x

3x - x = 3 + 5

2x = 8

x = 4

2. x/2 + 5/9 = 2x/3

(x/2 + 5/9) * 18 = (2x/3) * 18

9x + 10 = 12x

10 = 12x - 9x

10 = 3x

x = 10/3

Answer:

x+2y=12-------(1)

x-2y=3---------(2)

Adding equations 1 and 2

we get

2x=18

x=9

Equation 1

9+2y=15

2y=15-9

2y=6

y=3

The solution of the given system is x=9, y=3

Step-by-step explanation

Answer:

Step-by-step explanation:

Average height = 176.55 cm

Height of tallest man = 249 cm

Standard deviation = 7.23

z score of tallest man

= (249 - 176.55) / 7.23

= 10.02

Average height = 176.55 cm

Height of shortest  man = 120.2 cm

Standard deviation = 7.23

z score of smallest  man

= ( 176.55 - 120.2 )  / 7.23

= 7.79

Since Z - score of tallest man is more , his height was more extreme .  

Answer:

Pii is equAAAaaaaallLLLL to 3.14(rounded)

Step-by-step explanation:

Here listed are some formulas which can help you with your problems:

circumference of a circle=C=2πr

however, you can also write it as dπ, since  is two d times r.

area of a circle= πr^2

simply plug in your values, and solve them

you have all the materials you need to know

Further assistance/spoonfeed time:

We know the formulas for the circumference and area.

We also have the values of the circles A and B.

C=2πr

That's the formula, and now I'm gonna plug in the values given to me for A, which is 21.98 for circumference, and 7 for diameter.

(21.98)=2πr

Like I said before, the radius multiplied by 2 is the diameter, which is 7. But if you actually want the radius for some reason, just divide the diameter by 2.

let's update the equation: 21.98= 7π

now divide both sides by seven, and you'll get 3.14=π

area=π^2

now do what i just did, according to this formula

Answer:

[tex]SA = \pi (6) * 10+\pi ( 6)^2[/tex]

Step-by-step explanation:

The surface area of a cone is given by

[tex]SA = \pi rl +\pi r^2[/tex]

r is the radius and l is the slant height.

The diameter is 12 inches, the radius is 12/2 = 6 inches.

The slant height is 10 inches.

[tex]SA = \pi (6) * 10+\pi ( 6)^2[/tex]

Answer:

SA of cone = [tex](\pi )(6)(8) + (\pi )(6)^2[/tex]

Step-by-step explanation:

Surface Area of cone = [tex]\pi rh+\pi r^2[/tex]

Where r = 6 inches (Diameter = 12 inches) , h = 8 inches (We'll not consider the slant height)

SA of cone = [tex](\pi )(6)(8) + (\pi )(6)^2[/tex]

Answer:

-3.5 meters per second

Step-by-step explanation:

Take the distance and divide by the time

-17.5 meters/ 5 seconds

-3.5 meters per second

Answer:

-3.5 m/s

Step-by-step explanation:

Rate of the anchor =  [tex]\frac{distance}{time}[/tex]

[tex]\frac{-17.5}{5}[/tex]

-3.5 meters per second.

Answer:

mosses

Step-by-step explanation:

use socratic

Mosses are also known as the amphibian of the plant kingdom. The mosses were the first plant that can even survive on the land.

Conifers, pines, and flowering plants developed much later after the evolution of bryophytes.

Therefore, the mosses were the first plant that can even survive on the land.

Learn more about Bryophytes:

https://brainly.com/question/841138

Answer:

Step-by-step explanation:

Substitute x = 1 and y = 1 to the both inequalities:

[tex]x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}[/tex]

Answer:

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4

Step-by-step explanation:

Well, first we need to plug in (1,1) into,

x - 8y ≤ 9

- 7x + 5y < 4

→ 1 - 8(1) ≤ 9

- 7(1) + 5(1) < 4

1 - 8 ≤ 9

-7 + 5 < 4

-7 ≤ 9

-2 < 4

Thus,

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4.

Hope this helps :)

Answer:

We accept H₀

p-value = 0,1618

Step-by-step explanation:

We are going to solve a one tail proportion-test ( right tail)

We assume Normal distribution

Sample population 1000

Political strategist to test  wants to test:

Null hypothesis                             H₀           p = p₀       or   p = 26 %

Alternate hypothesis                    Hₐ           p > p₀        or  p > 26%

We assume CI  90 % then

α = 10 %     α = 0,1    and  z score for α = 0,1  is critical value

z = 2,32          ( note  2,32 is z score for α = 0,1017 "good approximation")

To compute z(s)

z(s)  =  ( p -p₀ ) / √ p₀q₀/n

z(s)  =  ( 0,29 - 0,26 ) /√ 0,26*0,74/1000

z(s)  = 0,03 / 0,014

z(s) = 2,14

We compare z(s) and z(c)

z(s) < z(c)

2,14 < 2,32

z(s) is in the acceptance region we accept H₀

The p-value for z(s) is from z-table

p-value = 0,1618

Answer:

This is called an Inductive reasoning.

Step-by-step explanation:

It is a logical process in which a number of premises all believed true combine to come up with specific conclusions. This is a generalisation based on observations.

Hope it helps.

Answer:

x = 19

Step-by-step explanation:

The angles are vertical angles which means they are equal

3x-3 = 6(x-10)

Distribute

3x-3 = 6x-60

Subtract 3x from each side

3x-3 -3x = 6x-60-3x

-3 =3x-60

Add 60 to each side

-3+60 =3x-60+60

57 = 3x

Divide by 3

57/3 = 3x/3

19 =x

Answer:

[tex]\boxed{195}[/tex]

Step-by-step explanation:

The fruit flies grows geometrically.

[tex]125=80k^2[/tex]

Find the value of k.

[tex]\sqrt{\frac{125}{80} } =k[/tex]

[tex]1.25=k[/tex]

[tex]P=80(1.25)^t[/tex]

[tex]t[/tex] is number of days.

[tex]P=80(1.25)^4[/tex]

[tex]P=195[/tex]

Answer: x = 40.5

Step-by-step explanation:

Simply divide 27/(2/3) to get 40.5

Hope it helps <3

Answer:

x= 40.5

Step-by-step explanation:

We want to find out what x is. Therefore, we must get x by itself on one side of the equation.

2/3x= 27

2/3 and x are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 2/3.

2/3x / 2/3 = 27/ 2/3

When dividing by a fraction, you can also multiply by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator( bottom number)

2/3 —> 3/2

Multiply both sides of the equation by 3/2

2/3x *3/2 = 27*3/2

x= 27*3/2

x= 27/1*3/2

x= (27*3)/(1*2)

x= 81/2

x= 40.5

Answer:

100

Step-by-step explanation:

height = constant/ width

Taking the point (5,20)

where 5 is the width and 20 is the height

20 = constant/ 5

Multiply each side by 5

5*20 = constant

100 = constant

Answer:

20.25 miles

Step-by-step explanation:

If your car travels 27 miles on a full tank of gas, then your car will travel [tex]27\cdot\frac{3}{4}[/tex] miles on [tex]\frac{3}{4}[/tex] tank of gas.

[tex]27 \cdot 0.75 = 20.25[/tex]

I hope this helped!

Answer:

123 domestic stamps

89 foreign stamps

Step-by-step explanation:

Answer:

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

Which equation represents the total number of stamps Malik collected?  

✔ x + y = 212

Which equation represents the difference in the number of foreign and domestic stamps Malik collected?  

✔ x – y = 34

Which system of linear equations represents the situation?  

✔ x – y = 34 and x + y = 212

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.

This system of equations models the given information for both stamp types.

x – y = 34

x + y = 212

Solve the system of equations.  

How many foreign stamps does Malik have?

✔ 89  foreign stamps

How many domestic stamps does Malik have?

✔ 123 domestic stamps

Step-by-step explanation:

its right on 2021 edge! :) hope this helps

Answer:

Step-by-step explanation:

Suppose that at time [tex]t_0[/tex] we have x mold cells. We are told that after 12 minutes the amount present is double. That is a [tex]t= t_0+12[/tex] we have 2x cells. Then, at [tex]t = t_0+24[/tex] we have (2x)*2 = 4x. We can continue as follows

[tex]t: t_0+36[/tex] we have (4x)*2 = 8x.

[tex]t: t_0+48[/tex] we have (8x)*2 = 16x

[tex]t: t_0+60[/tex] (one hour later) we have (16x)*2 = 32x.

So after one hour from now we have 32x cells.

The no. of mold cells one hour from now will be 32[tex]x[/tex].

Given,

The number of mold cells doubles every 12 minutes.

Let at time [tex]t[/tex] we have x mold cells.

So, after 12 minutes, the no of molds at[tex],t_{12} =t+12[/tex]  the no. of mold will be[tex]2x.[/tex]

After further 12 minutes at, [tex]t_{24} =t+24[/tex], the no. of mould will be [tex]4x[/tex].

After further 12 minutes at, [tex]t_{36} =t+36[/tex], the no. of mold will be [tex]8x[/tex].

After further 12 minutes at, [tex]t_{48} =t+48[/tex], the no. of mold will be [tex]16x.[/tex]

After further 12 minutes at, [tex]t_{60} =t+60[/tex], the no. of mold will be [tex]32x[/tex].

Hence the no. of mold cells one hour from now will be 32[tex]x[/tex].

For more details follow the link:

https://brainly.com/question/11897796

Answer:

5/(1/3)

Step-by-step explanation:

She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3

Answer:

1/3 x = 5

x=15

Step-by-step explanation:

You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x

Answer:

Inequality:  [tex]1558 + 60 x \geq 2158[/tex]

Number of Weeks:  [tex]x \geq 10[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Savings = \$1558[/tex]

[tex]Amount\ Needed = \$2158[/tex]

[tex]Additional\ Savings = \$60\ weekly[/tex]

Required

Represent this using an inequality

Represent the number of weeks as x;

This implies that, She'll save $60 * x in x weeks

Her total savings after x weeks would be

[tex]Initial\ Savings + 60 * x[/tex]

From the question, we understand that she needs at least 2158;

Mathematically, this can be represented as (greater than or equal to 2158)

[tex]\geq 2158[/tex]

Bringing the two expressions together;

[tex]Initial\ Savings + 60 * x \geq 2158[/tex]

Substitute 1558 for Initial Savings

[tex]1558 + 60 * x \geq 2158[/tex]

[tex]1558 + 60 x \geq 2158[/tex]

Hence, the inequality that represents the situation is [tex]1558 + 60 x \geq 2158[/tex]

Solving further for x (number of weeks)

[tex]1558 + 60 x \geq 2158[/tex]

Subtract 1558 from both sides

[tex]1558- 1558 + 60 x \geq 2158 - 1558[/tex]

[tex]60x \geq 600[/tex]

Divide both sides by 60

[tex]\frac{60x}{60} \geq \frac{600}{60}[/tex]

[tex]x \geq 10[/tex]

This means that she needs to save $60 for at least 10 weeks

Answer:

Its the first one

Step-by-step explanation:

I just did it lol

Step-by-step explanation:

Put A = 2, B = 3, C = 9 and D = 15 to the given expressions.

Use PEMDAS.

-A + C - (D : B)

-2 + 9 - (15 : 3) = -2 + 9 - 5 = 7 - 5 = 2

B × (-C) - (-D) + A

3 × (-9) - (-15) + 2 = -27 + 15 + 2 = -12 + 2 = -10

(C + D) : B + A

(9 + 15) : 3 + 2 = 24 : 3 + 2 = 8 + 2 = 10

D : B + A - C

15 : 3 + 2 - 9 = 5 + 2 - 9 = 7 - 9 = -2

Answer:

6/4

Step-by-step explanation:

Answer:

6/4

Step-by-step explanation:

There are 6 brooms to 4 mops.

So you would write it that way as a fraction, but you could also write it like 6:4 or 6 to 4.

Answer:

We're solving for CD. If we look at ΔABD we notice that it's a 30-60-90 triangle which has a side length ratio of 1:√3:2 and in this case the 1 is 300 so side BD = 300√3. Similarly, ΔABC is also a 30-60-90 triangle but this time the √3 is 300 so side BC = 100√3. We know that CD = BD - BC using PWP so the answer is 300√3 - 100√3 = 200√3 = 346.4 feet.

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

Answer:

see explanation

Step-by-step explanation:

differentiate using the power rule.

[tex]\frac{d}{dx}[/tex]( a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] , thus

[tex]\frac{d}{dx}[/tex](x² - x + 3 ) = 2x - 1

x = 5 → 2(5) - 1 = 10 - 1 = 9

To find the value of x for minimum , equate [tex]\frac{d}{dx}[/tex] to zero

2x - 1 = 0 , then

2x = 1 and

x = [tex]\frac{1}{2}[/tex]

Answer: C) For every original price, there is exactly one sale price.

For any function, we always have any input go to exactly one output. The original price is the input while the output is the sale price. If we had an original price of say $100, and two sale prices of $90 and $80, then the question would be "which is the true sale price?" and it would be ambiguous. This is one example of how useful it is to have one output for any input. The input in question must be in the domain.

As the table shows, we do not have any repeated original prices leading to different sale prices.

Answer:

C STAY SAFE!!!

Step-by-step explanation:

Ok we know this cant be A the reason is It says tha the original price is increasing so thats FALSE... its trying to trick you so no

The second choice says The sale price is always less than the original price. well take a look at the sale prices are they? Obiously not so False

Ok the third option For every original price, there is exactly one sale price. well this is true ask yourself each it helps.

Last option The sales price is never less than zero. erm   FALSE OBIOUSLY THIS IS TRUE JUST NOT TRUE ITS WRONG        

THE ANSER IS C

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

The number of ways that can she rank 5 applications should be 6720.

Since A manager receives 8 applications for a specific position. She wants to narrow it down to 5.

So here we do apply the permutation here:

[tex]= 8!\div 5!3! \times 5!\div 0!\\\\= 8\times 7\times 6\times 5\times 4[/tex]

= 6720

Hence, The number of ways that can she rank 5 applications should be 6720.

Learn more about ways here: https://brainly.com/question/18988173

Answer:

The z-score for a sales associate from this store who earns $37,500 is 2

Step-by-step explanation:

From the given information:

mean [tex]\mu[/tex] = 32500

standard deviation = 2500

Sample mean X = 37500

From the given information;

The value for z can be computed as :

[tex]z= \dfrac{X- \mu}{\sigma}[/tex]

[tex]z= \dfrac{37500- 32500}{2500}[/tex]

[tex]z= \dfrac{5000}{2500}[/tex]

z = 2

The z-score for a sales associate from this store who earns $37,500 is 2

Answer:

680

Step-by-step explanation:

add 1342+89 to get 1431

then add -295+-456 to get -751

then subtract 751 from 1431 to get 680

Step-by-step explanation:

Hope this is correct and helpful

HAVE A GOOD DAY!