The sum of a number times 10 and 24 is at least -16

Answer:

7/3 cm per hour

Step-by-step explanation:

Answer:  7/3  or in decimal form 2.3   the three is repeating or in mixed number 2 1/3

Step-by-step explanation:

7 divided by 3= 3/3 or in decimal form 2.3 the three is repeating or in mixed number 2 1/3

7 is for how much snow fell and the 3 is from how much time

Given the slope intercept form of a linear equation:

y = mx + b

To solve the equation for m, take the following steps.

Step 1:

Subtract b from both sides

Step 2:

Divide through by x

ANSWER:

Answer:

0.0045 = 0.45% probability that less than two of them ended in a divorce

Step-by-step explanation:

For each marriage, there are only two possible outcomes. Either it ended in divorce, or it did not. The probability of a marriage ending in divorce is independent of any other marriage. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

55% of marriages in the state of California end in divorce within the first 15 years.

This means that \(p = 0.55\)

Suppose 10 marriages are randomly selected.

This means that \(n = 10\)

What is the probability that less than two of them ended in a divorce?

This is

\(P(X < 2) = P(X = 0) + P(X = 1)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{10,0}.(0.55)^{0}.(0.45)^{10} = 0.0003\)

\(P(X = 1) = C_{10,1}.(0.55)^{1}.(0.45)^{9} = 0.0042\)

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0003 + 0.0042 = 0.0045\)

0.0045 = 0.45% probability that less than two of them ended in a divorce

There is 3/4 of a gallon of bubble solution in the big bottle.

What is an equation?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equal sign (=). An equation contains one or more variables, which are symbols that represent unknown values, and may also contain constants, coefficients, and arithmetic operations such as addition, subtraction, multiplication, and division.

Let's use "x" to represent the amount of bubble solution in the big bottle, in gallons.

According to the problem, the big bottle was divided equally among 6 small bottles, and each small bottle holds 1/8 of a gallon of bubble solution. Therefore, the total amount of bubble solution in the big bottle is equal to the sum of the amounts in the 6 small bottles:

x = 6 * (1/8)

Simplifying the right-hand side of the equation, we get:

x = 3/4

Therefore, there is 3/4 of a gallon of bubble solution in the big bottle.

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The amount Ryan spent $113 for shopping

Subtraction is one of the four arithmetic operation along with addition, multiplication and division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are 5 minus 2 peaches. This means 5 peaches with 2 taken away, resulting in a total of 3 peaches.

Another example is if there 100 mangoes in a basket, 20 is given to boys in a class and 35 is given to girls, the total number of mangoes left is 100-(35+20)

= 100- 55 = 45

Similarly, Ryhad has $145, after purchasing a shirt, a pair of jeans and a sweater he had $32 left.

Therefore, the amount spent = 145-32

= $113

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Answer:

Tom: £166

Ben: £581

Step-by-step explanation:

     In the ratio 2 : 7 there are 9 portions total (2 + 7 = 9).

£747 / 9 = £83

     For Tom:

£83 * 2 = £166

     For Ben:

£83 * 7 = £581

Checking our work:

      Since the decimals are the same, this means the ratios are equal.

2/7 = 0.2857

166/581 = 0.2857

Answer:

Radius: 2.1Inches

Step-by-step explanation:

Circumference

Circumference is the linear distance around the circle edge.

Radius

The radius of a circle is any of the line segments from its center to its perimeter. The radius is half the diameter or r = d

2

.

Diameter

The diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. The diameter is twice the radius or d = 2·r.

The Greek letter π

π represents the number Pi which is defined as the ratio of the circumference of a circle to its diameter or π = C

d

. For simplicity, you can use Pi = 3.14 or Pi = 3.1415. Pi is an irrational number. The first 100 digits of Pi are: 3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

The Correct choice is :

As we know, line of symmetry divides a figure into two equal halves, where the two resultant figures are congruent to each other.

Julia scored at least 20 points. Inequality for the situation is: x ≥ 20, where x represent score of Julia.

Let the score of Julia be  "x". The inequality for this given situation would be:

x ≥ 20

According to this inequality, Julia's score, denoted by the letter "x," is greater than or equal to 20. Greater than or equal to is indicated by the sign "≥". The minimum score Julia must achieve is shown by the number 20 on the right side of the inequality. The "≥" sign makes sure Julia's score can be 20 or any number higher than 20, but it can never be less than 20.

The fact that Julia received at least 20 points is therefore indicates by the inequality : x ≥ 20

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Answer: 184,500

Hope i could help

The two other two vertices will be (6, 10) and (8, 10)

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

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The test statistic in this scenario is 8.43, which is the number of adults who would erase all of their personal information online if they could.

It is used to compare data samples and to determine if differences in the samples are significant. It is calculated by taking into account the size of the sample and the differences between the samples.

The test statistic is calculated by dividing the number of adults who would erase their personal information online (n=506) by the percentage of adults who would erase their personal information online (p=60%).

The formula for computing the test statistic is as follows:

Test Statistic = n/p

Therefore, the test statistic for this situation is calculated as follows:

Test Statistic = 506/60

Test Statistic = 8.43

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Answer:

Step-by-step explanation:

You need to upload a picture and i can answer underneath.  

Usually if measured in feet then we have a scale = 1cm -1ft maybe.

so if you measure 3cm x 4cm then we have 12cm area = 12ft area if.  Or if you have 2cm x 5cm = 10cm area = 10ft area   if you have 4cm x 5cm = 20cm = 20ft area

etc. etc.  Just make sure you say cm then ft in scale conversion.

Answer:

Shift 4 units down: \(g(x) = 2x - 10\)

Stretching f(x) by 4 : \(g(x) =8x - 24\)

Shift 4 units left:  \(g(x) = 2x - 14\)

Compress by 1/4 units : \(g(x) = 8x - 6\)

Step-by-step explanation:

Given

\(f(x) = 2x - 6\)

Required

Match the transformations (See attachment)

Shift 4 units down

Shifting down a function is represented as:

\(g(x) = f(x) - b\)

In this case:

\(b = 4\)

Substitute expression for f(x) and 4 for b in \(g(x) = f(x) - b\)

\(g(x) = 2x - 6 - 4\)

\(g(x) = 2x - 10\)

Stretching f(x) by 4

Stretching a function by some units is represented as:

\(g(x) =b.f(x)\)

In this case:

\(b = 4\)

Substitute expression for f(x) and 4 for b in \(g(x) =b.f(x)\)

\(g(x) =4 * (2x - 6)\)

\(g(x) =8x - 24\)

Shift 4 units left

Shifting a function to the left is represented as:

\(g(x) = f(x - b)\)

In this case:

\(b = 4\)

Substitute expression for f(x) and 4 for b in \(g(x) = f(x - b)\)

\(g(x) = f(x-4)\)

Calculating f(x - 4)

\(f(x) = 2x - 6\)

\(f(x - 4) = 2(x - 4) - 6\)

\(f(x - 4) = 2x - 8 - 6\)

\(f(x - 4) = 2x - 14\)

Hence:

\(g(x) = 2x - 14\)

Compress by 1/4 units

This means that the function is stretched by \(1/\frac{1}{4}\)

Compressing a function is represented as:

\(g(x) =f(bx)\)

In this case:

\(b = 1/\frac{1}{4}\)

\(b = 1 * \frac{4}{1}\)

\(b = 4\)

Substitute expression for f(x) and 4 for b in \(g(x) =f(bx)\)

\(g(x) =f(4x)\)

Calculating f(4x)

\(f(4x) = 2(4x) - 6\)

\(f(4x) = 8x - 6\)

Hence:

\(g(x) = 8x - 6\)

Answer:

Maria will spend $105.48 on all of the shirts.

Step-by-step explanation:

Multiply 8.79 by 12 :)

Answer:

105.48

Step-by-step explanation:

If each shirt costs 8.79 then you need to multiply 8.79 by 12 because she bought 12 shirts to get 105.48. I hope this helped!

Answer:

Step-by-step explanation:

To determine the most you should pay for the annuity, you can use the present value formula for an annuity.

PV = C * [(1 - (1 + r)^(-n)) / r]

where PV is the present value, C is the annual cash flow, r is the interest rate, and n is the number of periods.

In this case, C is $1,000, r is 6%, and n is 5 years. Plugging these values into the formula, we get:

PV = $1,000 * [(1 - (1 + 0.06)^(-5)) / 0.06]

PV = $4,212.10

Therefore, the most you should pay for the annuity is $4,212.10. If you pay more than this amount, you would be better off investing your money elsewhere at a 6% interest rate.

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is defined as the point where the line intersects the y-axis. All we need to do is find where the line intersects the y-axis.

(0, 4) is the answer.

The Formula for the volume of a sphere is \(\frac{4}{3} \pi r^3\)

   Volume = \(\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510\)

The volume is 33.51 cubic feet

Hope that helps!

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

Answer:middle connection point

Step-by-step explanation:

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Solve

Answer: Undefined solution

Answer:

37

Step-by-step explanation:

(6 × 5) + (10 - 3)

30 + 7

37

Answer:

8 and 1

Step-by-step explanation:

Any equation  which can be expressed in terms of a,b, c and so on is algebraic expression.

The term a, b , c ...are variables. They are called so be cause their value can change based on change in condition.

Coefficient are the number with which a variable is multiplied with.

Example

10a+ 20b+c+7d+ 10  is algebraic expression.

The terms which is free of any variable is called  constant as its value remains fixed.

In above expression 10 is constant term.

Here term a, b,d are multiplied with 10, 20, and 7 respectively. Thus, these terms are coefficient .

If any term does not explicit coefficient then its coefficient is taken as 1.

This can be explained,

as in above example c does not have any explicit coefficient attached with it

"c" can be also expressed as 1*c as multiplication with does alter the value of variable.

__________________________________

Now in  the prblem given

expression: 8a + b + 9

Variable are a , b

constant term is 9

8 is multiplied with variable a. so, 8 is coefficient of a.

b does not have any coefficient thus b coefficient can be taken as 1

as 1*b is equal to b.

Thus, coefficient in expression  8a + b + 9 is 8 and 1.

The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.

A coefficient should be integer i..e written along with a variable or it should be multiplied by the variable. In other terms, a coefficient should be considered as the numerical factor of a term that comprise of constant and variables.

So based on this, we can conclude that The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.

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Answer:

$ 12.60

Step-by-step explanation:

30 shares × $ 0.42 = $ 12.60

Answer:

$1,260

Step-by-step explanation:

3000 x .42 = 1260