What are the roots of x in -10x^2 + 12x − 9 = 0

Answer:

the quotient is 9 because a negative divided by a negative is a positive

Answer:

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Step-by-step explanation:

An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.

A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.

The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication.  The bacteria cell increase is dependent on the time . The time variable is the independent  variable as it can stand on it own .

Dependent variable → bacteria cell increase or population

Independent variable → time variable

Answer:

Step-by-step explanation:

The question tells us that;

Given F1 = ∑ m(0,2,5,7,9) and F1 = ∑ m(2, 3,4,7,8) find the minterm expression for F1+F2. State a general rule for finding the expression for F1+F2 given the minterm expansions for F1 and F2. Prove your answer by using the general form of the minterm expansion.

Note: The answer is provided in the image uploaded below

cheers i hope this helped !!!

Answer:

  too much caramel

Step-by-step explanation:

3 ounces : 5 scoops = 3·2 ounces : 5·2 scoops = 6 ounces : 10 scoops

If the Freeze Zone shakes have 6 ounces : 8 scoops, then Ari will think they need more ice cream (2 scoops per shake) or less caramel.

As is, the ratio of caramel to ice cream is too high.

Answer:

if the 5 numbers are different, the maximum difference is 64

Step-by-step explanation:

We have 5 positive (different) integers, a, b, c, d and e (suppose that are ordered from least to largest, so a is the smallest and b is the largest.

The mean will be:

M = (a + b + c + d + e)/5 = 15.

Now, if we want to find the largest difference between a and e, then we must first select the first 4 numbers as the smallest numbers possible, this is:

a = 1, b = 2, c = 3 and d = 4

M = (1 + 2 + 3 + 4 + d)/5 = 15

M = (10 + d)/5 = 15

10 + d = 15*5 = 75

d = 75 - 10 = 65

then the difference between a and d is = 65 - 1 = 64.

Now, if we take any of the first 4 numbers a little bit bigger, then we will see that the value of d must be smaller, and the difference between d and a will be smaller.

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so [tex]P = 9000[/tex]

Interest rate of 8%, so [tex]r = 0.08[/tex]

Compounded quarterly, so [tex]n = 4[/tex]

5 years and 6 months, that is, 5 years and half, so [tex]t = 5.5[/tex]

(a) How much would the value of her savings at the end of the term?

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82[/tex]

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

Answer:

113 feet

Step-by-step explanation:

Use the ratio 1:50 to calculate the height of the tower.

The scale model height is 2.25 feet, so multiply that by 50

2.25 x 50 = 112.5

Round to 113 feet

Answer:

D. 113 feet

Step-by-step explanation:

We know that Josephine made a smaller model that is one-fiftieth the size of the real model. That means the height of the real model is fifty times as big as this model. All we need to do to find the height of the real thing is to multiply 50 and 2.25. (50) 2.25 = 112.5. That will round to 113 feet, which is the height of the new water tower.

Hope this helps ^-^

Answer:

The standard unemployment rate is of 0.0794 = 7.94%.

Step-by-step explanation:

The standard unemployment rate, as a proportion, is the number of unemployed people divided by the size of the labor force.

In this question:

Labor force: 189 million

Number of unemployed people: 15 million

What is the standard unemployment rate?

15/189 = 0.0794

The standard unemployment rate is of 0.0794 = 7.94%.

Answer: Y=3x -7

Y=x-1

X=Y=

Step-by-step explanation:

Answer:

2,808

Step-by-step explanation:

since 117 = d then we would just plug that into the equation of s = 24d and get s = 24(117), after that you would just solve.

Answer:

53

Step-by-step explanation:

The right answer is 100 units^2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment,

Answer:ab

Step-by-step explanation:3-9=-6 +7=1 1ab also equals just ab

Answer:

Since its adding and subtracting just add the coefficients of similar terms (coefficient is the number in front, term is the coefficient. and variables, similar terms are terms that have the same variables)  

3ab-9ab+7ab

3-9=-6: -6ab+7ab

-6+7=1: 1ab or ab :)

Answer:

Step-by-step explanation:

Consider the calculations in the table below with the respective columns being: Name | Laps | Time | Time(in hours) |Total Distance | Unit Rate

[tex]\left|\begin{array}{c|c|c|c|c|c}---&---&---&----&----&---\\Amber&3&40&\frac{40}{60}&3*\frac{3}{4}=2.25&2.25 \div \frac{40}{60}= 3\frac{3}{8} \\\\Bruno&4&54&\frac{54}{60}&4*\frac{3}{4}=3&3 \div \frac{54}{60}= 3\frac{1}{3}\\\\Cady&5&75&\frac{75}{60}&5*\frac{3}{4}=3.75&3.75 \div \frac{75}{60}= 3 \\\\Drake&6&72&\frac{72}{60}&6*\frac{3}{4}=4.5&4.5 \div \frac{72}{60}= 3\frac{3}{4} \end{array}\right|[/tex]

We can then match each walker to their respective unit rates in miles per hour.

Answer:

[tex]A(t)=975(1.025)^t[/tex]

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

[tex]A_0=975,t=0[/tex]

According to question

Number of students at the villages high School is given by

[tex]A(t)=A_0(1+r)^t[/tex]

Substitute the values

[tex]A(t)=975(1+0.025)^t=975(1.025)^t[/tex]

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

[tex]A(7)=975(1.025)^7=1158.96\approx 1159[/tex]

Answer:

1,159 students

Step-by-step explanation:

the exponential growth rate formula:

A = P ( 1 + r)ⁿ

Pop. 2025 = 975 (1 + 0.025)⁷

Pop. 2025 = 975 x 1.025⁷ = 1,158.97 ≈ 1,159 students

Answer:

1/2(n+7)

the sum of n and 7 is (n+7). to half it just put 1/2 in front of the parentheses. :)

Answer:

a) 10.08 gallons and $32.66 of gas

b) gallons used = n/25

c)cost of the gasoline = [tex]\frac{n}{25}(3.24)[/tex]

Step-by-step explanation:

a) We know that Kimberly has traveled 252 miles and we also know that her car gets 25 miles per gallon. We can apply proportions and rule of three:

25 miles ------ 1 gallon

252 miles ----- x gallons

Solving for x:

x gallons = 252 miles(1 gallon)/25 miles= 10.08 gallons.

Thus, she has used 10.08 gallons since she started driving.

Now we need to know the cost of the gasoline that she has used.

We know that each gallon of gas costs $3.24 and she has used 10.08 gallons. Again, we can apply proportions and rule of three:

1 gallon ------ 3.24 dollars

10.08 gallons---- x dollars.

Solving for x we get:

[tex]x=(10.08)(3.24)[/tex]= 32.659=32.66 dollars.

Thus, she has used $32.66 of gas since she started driving.

b) Write an expression in terms of n that represents the number of gallons of gasoline she has used since she started driving.

If we know that n is the number of miles that she drives, from what we wrote above, an expression to know the number of gallons she has used would be:

Gallons used = n/25 (since her car gets 25 miles per gallon) where n is the number of miles.

c) Write an expression in terms of n that represents the cost of the gasoline that she has used since she started driving.

Again, to know the cost of the gasoline we first need to know how many gallons she has used. From b) we know that the expression to know how many gallons she has used is n/25. Since each gallon costs $3.24 we will multiply this number by n/25 and we will get the cost (like we did in a))

Therefore, the cost of the gasoline = [tex]\frac{n}{25}(3.24)[/tex] where n is the number of miles.

Answer:

449.40 Euro

Step-by-step explanation:

1 pound=1.12 euro

400*1.12=

Answer:

A, B and C

Step-by-step explanation:

1) After reflecting the circle over line g, we would come to know that Both are same in size

OR

2) we can also rotate the circle 180° around point C

OR

3) we can also translate the dilated circle so that it's centre is at point b

Answer:

Distance between 2 boats= 5.86m (3 s.f.)

Actual distance from farther boat from top of cliff= 16m

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym?

Step-by-step explanation:

Given: the inequality is [tex]384+2x<6x[/tex]

To find: the correct option

Solution:

Let x denotes number of times gym is used.

As Mega Gym charges a $384 registration fee and $2 each time the gym is used,

Total amount charged by Mega Gym = [tex]\$(384+2x)[/tex]

As Super Gym charges a fee of $6 every time the gym is used,

Total amount charged by Super Gym = [tex]\$\,6x[/tex]

In order to find number of times, x Super Gym is used such that cost of Super Gym exceeds the cost of Mega Gym,

Solve the inequality:

cost of Super Gym > cost of Mega Gym

[tex]6x>384+2x\\384+2x<6x[/tex]

So, the correct option is '' Mega Gym charges a $384 registration fee and $2 each time the gym is used. Super Gym charges a fee of $6 every time the gym is used. What number of times, x, will Super Gym need to be used to exceed the cost of Mega Gym? ''

Answer: Y is less than or equal to 65 and X + y= less than or equal to 95

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Seventy-six percent of sunflower seeds will germinate into a flower

This means that [tex]p = 0.76[/tex]

Samples of 800:

This means that [tex]n = 800[/tex]

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08[/tex]

4books=6.28inches

30books=?

(30x6.28)/4

47.1 inches

47.1 inches

Answer:18

Step-by-step explanation:

first : 8-2 =6 gallons

he gave 6 to 7 students

then he needs : 18 gallons for 21 students

Answer:

12 45

Step-by-step explanation:

plane leaves London at 09 35

plane arrives in Los Angeles after 11 hrs and 10 min

considering time difference:

local arrival time:

Answer:

A) y = -2/3x + 1

Step-by-step explanation:

Slope - intercept form is y = mx + b, where m is the slope and b is the y - intercept.

The line is falling from left to right, so it has a negative slope.

    y = -mx + b

The line has a slope of -2/3.

    y = -2/3x + b

The line has a y - intercept of 1.

    y = -2/3x + 1

I hope this helps :)

A) y = -2/3x + 1, the equation of the line shown in the graph above in slope-intercept form.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

here, we have,

Slope - intercept form is y = mx + b,

where m is the slope and b is the y - intercept.

The line is falling from left to right, so it has a negative slope.

 y = -mx + b

As, the line passes through (0,1) and (1.5,0)

The line has a slope of -2/3.

 y = -2/3x + b

The line has a y - intercept of 1.

y = -2/3x + 1

hence, A) y = -2/3x + 1, the equation of the line shown in the graph above in slope-intercept form.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ2

Answer:

For this problem we can use the following proportional rule:

[tex] \frac{73 mi}{25 gal}= \frac{x}{75 gal}[/tex]

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition [tex] D=vt[/tex]. If we solve for x we got:

[tex] x =75 gal (\frac{73 mi}{25 gal}) =219mi[/tex]

And the best answer would be:

219 mi

Step-by-step explanation:

For this problem we can use the following proportional rule:

[tex] \frac{73 mi}{25 gal}= \frac{x}{75 gal}[/tex]

Where x represent the number of miles that we can travel with 75 gallons. For this case we can use this proportional rule since by definition [tex] D=vt[/tex]. If we solve for x we got:

[tex] x =75 gal (\frac{73 mi}{25 gal}) =219mi[/tex]

And the best answer would be:

219 mi

Answer:

  4

Step-by-step explanation:

Let's try this a different way than perhaps the usual way. Let r represent the reciprocal of the number.

  r(1/r -1) -1/2r = 5/8

  1 -r -1/2r = 5/8 . . . . . . eliminate parentheses

  -3/2r = -3/8 . . . . . . . . collect terms, subtract 1

  (-3/2)/(-3/8) = 1/r = 4 . . . . . divide by (-3/8)r because we actually want 1/r

The number is 4.

_____

Check

The reciprocal of the number is 1/4.

1 less than the original number is 4 -1 = 3. The product of these is 3/4.

__

Half the reciprocal of the original number is (1/2)(1/4) = 1/8.

Then the difference between these is ...

  3/4 -1/8 = (6 -1)/8 = 5/8 . . . . as required.

Answer: The systems of equations have only one solution because if x 4 then y is equal to 3 which  proves it that is a one solution graph.

Step-by-step explanation:

2(4)- y = 5

8 - y= 5

-8      -8

-1y= -3

y= 3

Answer:

13.125 or 105/8u^3

Step-by-step explanation:

To find the volume of the box, you can use the formula of length times width time height.

3 * 5 = 15

2*2=4

15/4*7/2=105/8      which can be divided to become 13.125