You put some money in a bank account one year ago. You have not done anything with it since. The bank takes out a low balance fee of $0.25 $ 0 . 25 each month. After 8 8 months, you had $28 $ 28 in the account. Choose the equation that best shows the money in your bank account over time.

Answer:

f(10) = -300

Step-by-step explanation:

f(x) = -3x^2

f(10) = -3(10)^2

f(10) = -3(100)

f(10) = -300

Answer:

\(\frac{11}{12}\)

Step-by-step explanation:

\(Rule: \frac{x}{y} \pm \frac{a}{b} = \frac{x \pm y}{z}\\\frac{1}{4}+\frac{2}{3} = \frac{3}{12}+\frac{8}{12} (LCM)\\=\frac{3+8}{12}\\=\frac{11}{12}\\\)

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

Answer:

H0 : the treatment has no effect

Step-by-step explanation:

The test is formulated as hypothesis . Here the test ist that whether the treatment has  affected or not . So the null hypothesis can be formulated as

H0 : the treatment has no effect

against the claim

Ha: the treatment has an effect.

The null hypothesis  is the test performed and the alternate hypothesis is the claim against the test. Therefore they are opposite of each other.

Answer:

angle 7

Step-by-step explanation:

Answer:

angle 7 angle forms a pair of alternate

exterior angles with angle 2.

Answer:

92 to 69

Step-by-step explanation:

Just add 24ft+27ft+18ft=69ft M

Then add 36ft+32ft+24ft=92ft N

So you will get 92 to 69

Hope this helped!

Step-by-step explanation:

please provide the figure. without the figure cannot find the answer

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

D) SAS

Step-by-step explanation:

Side JC is equal to side CG.

Angle JCG is equal to angle GCF

Side HC is equal to side CF.

∴ Δ JCH and Δ GCH are congruent by SAS (Side Angle Side) rule.

The value of x that will make both lines A and B to be parallel is:  20

The line transversal theorem states that:

If two parallel lines are cut by a transversal line, then it means that the Alternate Exterior Angles are congruent.

Similarly, If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

Now, we see that the two given angles will be corresponding angles using the line transversal theorem and as such they are congruent. thus:

3x + 20 = 80

3x = 80 - 20

3x = 60

x = 60/3

x = 20

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Check the picture below.

The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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The expected length of the piece that we are left with after breaking twice is L/4 and the variance Var(X) is 7L^2/144.

In the given question, consider a stick of length 1.

We break it at a point which is chosen randomly and uniformly over its length and keep the piece that contains the left end of the stick.

We then repeat the same process on the piece that we were left with.

We have to find expected length of the piece that we are left with after breaking twice.

In the same setting as Q7, suppose the length of the piece that we are left with after breaking twice is Y.

We also have to calculate the variance Var(Y).

Following Laws are used in the solution

Law of Iterated Expectations: E[X] = E[ E[X|Y] ]

& Law of total variance: Var(X) = E[Var(X|Y)]+Var(E[X|Y])

Now, Y = Length of the stick after we break it the first time

and X = length of the stick after we break it the second time

As both the distribution is uniformly distributed.

Now, E[Y] = L/2 and Var(Y)= l^2/12

E(x|y)[X|Y=y] = y/2 and Var(x|y)[X|Y=y] = y^2/12

As the expectation of uniform distribution over {a,b} is (b-a)/2 and variance is (b-a)^2/12

Using Law of Iterated Expectations

E[X] = E[ E[X|Y] ]

E[X] = E[ y/2 ]

E[X] = \int_{L}^{0}

E[X] = L/4

Now using Law of Total Variance

Var(X) = E[Var(X|Y)]+Var( E[X|Y] )

Var(X) = E[y^2/12]+Var(y/2)

Var(X) = (1/12)*E[Y^2]+(1/4)*Var(Y)

Var(X) = (1*12)*(Var[Y] + (E[Y])^2) + (1/4)*Var(Y)

Var(X) = (1/12)*(L^2/12+L^2/4) + (1/4)*(L^2/12)

Var(X) = 7L^2/144

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The total area of the figure is 50.13 square units.

We can decompose the figure into a rectangle of 12 by 3 units, and a semicircle whose radius is 3 units.

Remember that the area of a rectangle is equal to the product between its dimensions, then the area of the rectangle we will get.

A = 12*3 = 36 square units.

For a semicircle of radius R, the area is:

a = 0.5*3.14*R²

Here the radius is 3 units, then.

a =  0.5*3.14*3² = 14.13 square units.

Adding that we will get:

total area = 36 square units + 14.13 square units.

total area = 50.13 square units.

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Answer:

6 + 6x...or...6x + 6

Step-by-step explanation:

Given: How do you write 6 more than 6 times a number?

First, 6 more than means + 6:

6

Then 6 times a number is 6x, x is the number ( variable ) because it's not known yet:

6x + 6

or 6 + 6x

The required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

The price of a 2-pack shopkin should not be more than $4. Inequality in the situation is to be determined.

Inequality can be defined as the relation of an equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

The price of a 2-pack shopkin should not be more than $4.
Let the price of 2 - pack shopkin is x and it should not be more than $4 it impise the price of 2 pack shopkin canno be set up more than 4 but it could be 4 or less so, Inequality for 4 or less of price of 2 pack shopkin is given by,
x  ≤ 4.

Thus, the required inequality for the price of a 2-pack shopkin should not be more than $4 is  ≤ 4.

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Answer:

32÷8=4

Step-by-step explanation:

1 pack of sugar is 8 and he needs 32 so 32 divided by 8 of 1 pack will then get you 4 packs he will need.

The vertices of the ΔDEF are given by (-4, 2)D',  (-1,  1)E' ,  (1,  5)F' through mapping.

what is mapping?

Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped. A mapping of the set of all whole numbers onto the set of even numbers is defined by the expression "multiply by two," for instance. A rotation is an internal map of a plane or of all of space.

The vertices of ΔDEF are given by D(2,-4) - D E(1,-1) - E F(5, 1).

According to the rule defining a reflection across the line, y=x should be stated when reflecting a point across the line. Then, the x and y coordinates are switched as follows:

y(x, y) → (y, x)

Let's now use the aforementioned rule to finish mapping the vertices of DEF. Change the x and y coordinate locations as follows:

The vertices of the ΔDEF are given by (-4, 2)D',  (-1,  1)E' ,  (1,  5)F' through mapping.

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Answer:

Well personally I would use your fomula because its different ways to do this and is taught differnet but the way I was taught was to add up all the sides and multiply

Step-by-step explanation:

add all of them

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

A Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

A literal equation is x^2 + 2y = 1 because it contains more then one distant variable while y = 4 doesn’t, it only contian y.

Therefore, y=4 is not a literal equation because it has y as the only variable that appears.

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Answer: 283.3333333% (283.3%)

Step-by-step explanation:

First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.

Now, we divide 17/6

17/6 = 2.833333333

Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)

Hope this helps!

Answer:

$1.20

Step-by-step explanation:

First we need to find the probability of winning the game.

If there are 8 winning ducks among 50 ducks, and we can pick only one, the probability of winning is 8/50 = 0.16, therefore the probability of losing the game is 1 - 0.16 = 0.84.

The player pays $2 to play, so if the player loses, the owner of the game wins $2, and if the player wins, the owner loses $3 (he receives $2 but pays the prize of $5).

Now, to find the expected value of the game, we just need to multiply the price of winning by the corresponding probability and summing with the same product but related to losing the game:

\(Expected\ value = p(winning)*v(winning) + p(losing)*v(losing)\)

\(Expected\ value = 0.16 * (-3) + 0.84 * (2)\)

\(Expected\ value = \$1.20\)

The required value of x is  135° in the given polygon. which is the correct answer would be an option (A).

A polygon is given in the figure

According to the given question, the required solution would be as:

Number of sides = 8

The required value of x is the equal to measure of one Interior angle in the given polygon.

Interior angles of a polygon = (sides - 2) × 180°

In this case, the number of sides is 8

Sum of Interior angles = (8 - 2) × 180

Sum of Interior angles = (6) × 180

Sum of Interior angles = 1080°

the measure of one Interior angle = 180°/8

the measure of one Interior angle = 135°

Thus, the required value of x is  135°.

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Answer:

1st one.

Step-by-step explanation:

Using Proportion the table value is,

Cheese   Number of Pizzas

3 pounds          8

18 pounds        48

22.5 pounds    60

27 pounds        72

What is a proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

We have,

3 pounds bag of cheese makes 8 pizzas.

This means,

3 pounds = 8 pizzas

1 pound = 8/3 pizzas

Now,

1 pound = 8/3 pizzas

Multiply 18 on both sides.

18 pounds = 18 x 8/3

18 pounds = 48 pizzas

1 pound = 8/3 pizzas

Multiply 22.5 on both sides.

22.5 pounds = 22.5 x 8/3

22.5 pounds = 60 pizzas

1 pound = 8/3 pizzas

Multiply 27 on both sides.

27 pounds = 27 x 8/3

27 pounds = 72 pizzas

Thus,

The number of Pizzas for 3 pounds is 8.

The number of Pizzas for 18 pounds is 48.

The number of Pizzas for 22.5 pounds is 60.

The number of Pizzas for 27 pounds is 71.

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Answer:

or,180=3x

or,x=180+3

or,x=183 answer

Answer:

54

Step-by-step explanation:

there are 2 ways

(180 - 18) ÷ 3 = 54

(360-18-18) ÷ 6 = 54

same answer

Answer:

C.) True equation. X = all real numbers

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

for example log2 8=3 is the same as 2^3=8, so if you switch around the variables from your question, your able to do 3^4, which is 81

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:I have the same quastion too

Step-by-step explanation: