Aleena babysits for 4 ½ hours and is paid $27. How much does she make per hour?

Answer:

6 x 1100% = $66

Step-by-step explanation:

Answer:

4876 acres

Step-by-step explanation:

212 x 23 = 4876

Answer:

1)

surface area= πr² + πrl

π7² + π x 7 x 5.7

=49π + 39.9π

=88.9π

use this formula below for the rest

surface area= πr² + πrl

Simplify the following

A . ( 12 ) x ( − 16 ) + 16

b . ( − 34 ) ÷ ( − 23 ) + 14

c . ( − 45 ) ÷ ( − 15 ) + 13

d . ( 23 ) - ( − 16 ) - 13

e . ( − 42 ) + ( - 16 ) ÷ 13

(A) -176

(B) \(\frac{402}{23}\)

(C) 16

(D) 26

(E) \(\frac{-562}{13}\)

(A)

( 12 ) x ( − 16 ) + 16

Following the rules of BODMAS

=> Solve the brackets first

12 x -16 + 16

=> Next, solve the multiplication(x)

-192 + 16

=> Solve the addition and subtraction

-176

(B)

( − 34 ) ÷ ( − 23 ) + 14

Following the rules of BODMAS

=> Solve the brackets first

-34 ÷ -23 + 14

=> Next, solve the division(÷)

\(\frac{-34}{-23}\) + 16

The negative signs can cancel out.

\(\frac{34}{23}\) + 16

=> Solve the fraction

\(\frac{34}{23}\) + \(\frac{16}{1}\)

\(\frac{34 + 368}{23}\)

\(\frac{402}{23}\)

(C)

( − 45 ) ÷ ( − 15 ) + 13

Following the rules of BODMAS

=> Solve the brackets first

-45 ÷ -15 + 13

=> Next, solve the division(÷)

\(\frac{-45}{-15}\) + 13

The negative signs can cancel out.

\(\frac{45}{15}\) + 13

3 + 13

=> Solve the addition

3 + 13 = 16

(D)

( 23 ) - ( − 16 ) - 13

Following the rules of BODMAS

=> Solve the brackets first

23 - -16 - 13

=> Next, - - will give +

23 + 16 - 13

=> Next solve the addition

39 - 13

=> Next solve the subtraction

39 -13 = 26

(E)

( − 42 ) + ( - 16 ) ÷ 13

Following the rules of BODMAS

=> Solve the brackets first

-42 + -16 ÷ 13

=> Next, + - will give -

-42 - 16 ÷ 13

=> Next solve the division

-42 - 16 ÷ 13

-42 - \(\frac{16}{13}\)

=> Next solve the fraction

\(\frac{-42}{1}\) - \(\frac{16}{13}\)

\(\frac{-546-16}{13}\)

\(\frac{-562}{13}\)

The length of the third side is \(≈15.7\)

Note:

Phitagors theorem:

\(c^{2}=a^{2}+b^{2}\)

\(c: hypotenuse\)

\(a: altitude\)

\(b: base\)

1) Using Phitagors theorem

\(c^{2}=a^{2}+b^{2}\)

\(c^{2}=14^{2}+7^{2}\)

2) Calculate

\(c^{2}=245\)

3) Take the square root of both sides of the equation

\(\sqrt {c^{2}}=\sqrt{245}\)

\(c=\sqrt{245}\)

\(c≈15.7\)

Answer:

x = 57

Step-by-step explanation:

180 degrees in a triangle

67 + 56 = 57

==================================================

Explanation:

The three angles of any triangle always add to 180

x+67+56 = 180

x+123 = 180

x+123-123 = 180-123 .... subtract 123 from both sides

x = 57

The missing angle is 57 degrees

-------------

Check:

x+67+56 = 57+67+56 = 180

Answer is confirmed.

Answer:

Below

Step-by-step explanation:

First let's determine the slope if thus function

Let m be the slope of this function

m = [0-(-4)]/ 2-0 = 4/2 =2

So our equation is:

y = 3x +b

b is the y-intercept wich is given by the image of 0

Here it's -4

So the equation is:

y = 2x-4 wich is also y = x-2 after simplifying

●●●●●●●●●●●●●●●●●●●●●●●●

A line that is parallel to this one will have the same slope.

Examples:

● y= 2x+3

● y = 2x-7

■■■■■■■■■■■■■■■■■■■■■■■■■■

A line that is perpendicular to this one and has a slope m' satisfy this condition:

m*m'= -1

m'= -1/m

m' = -1/2

So this line should have a slope that is equal to -1/2

Answers from the choices:

y = -1/2 x +1/2

y+1= -1/2 (x-3)

The horizon is about 1,027 miles away if a person is in the international space station about 240 miles above the surface of the earth.

As a general rule, the horizon is located 2.9 miles away from an observer on the Earth's surface, and it is because of the planet's curvature. If a person moves up in the sky, the horizon line will also move up because the person's line of sight is increasing in distance.

In other words, if a person moves to a higher altitude, they will be able to see farther. The calculation to determine the distance of the horizon is based on the following formula:
D = √[(2Rh) + h²]

D is the distance to the horizon

R is the radius of the earth

h is the height above sea level of the observer in meters.

The radius of the Earth is about 6,371 kilometers, and it can be converted to meters by multiplying it by 1,000. The altitude of the International Space Station (ISS) is approximately 408 kilometers above the Earth's surface or 240 miles.

Using this information, we can calculate the distance to the horizon.
D = √[(2 * 6,371,000) + (408,000)²]D = √[(12,742,000) + (166,464,000,000)]D = √[166,476,742,000]D ≈ 408,216 meters
≈ 1,338,381.8 feet ≈ 403.6 km ≈ 252 miles

Therefore, if a person is on the International Space Station about 240 miles above the Earth's surface, the horizon will be around 1,027 miles away.

To know more about distance refer here:

https://brainly.com/question/15172156

#SPJ11

Answer: 25

Step-by-step explanation:

From the question, we are informed that the piece of rural land sold ten years ago for 40000 and that the price for the same land this year is $800 more per acre, and it sold for 60000.

The size of the piece of land in acres will then be:

40000 + 800x = 60000

800x = 60000 - 40000

800x = 20000

x = 20000/800

x = 25

The land is 25 acres

Answer: 25

Step-by-step explanation:

40000 + 800x = 60000800x = 60000 - 40000800x = 20000x = 20000/800x = 25

Answer:

56

Step-by-step explanation:

to find the answer, divide 42 by 6/8

42 x 8/6 = 56

Answer:

A is the answer they are all possible answers but the answer a is the best

Step-by-step explanation:

Answer:

All 3 of them

Step-by-step explanation:

A  B and C are correct

It is possible to break a clock into 7 pieces so that the sums of the numbers in each piece are consecutive numbers.

To achieve a set of consecutive sums, we can divide the clock numbers into different groups. Here's one possible arrangement:

1. Group the numbers into three pieces: {12, 1, 11, 2}, {10, 3, 9}, and {4, 8, 5, 7, 6}.

2. Calculate the sums of each group: 12+1+11+2=26, 10+3+9=22, and 4+8+5+7+6=30.

3. Verify that the sums are consecutive: 22, 26, 30.

By splitting the clock into these particular groupings, we obtain consecutive sums for each group.

This arrangement meets the given conditions, where each piece has at least two numbers, and no number is damaged or split into separate digits.

Therefore, it is possible to break a clock into 7 pieces so that the sums of the numbers in each piece form a sequence of consecutive numbers.

Learn more about Number click here :brainly.com/question/3589540

#SPJ11

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

To learn more about capacity

https://brainly.com/question/33454758

#SPJ8

2 and 59.

If you picked any prime number greater than 2 (and less than 61), then that prime number is odd.  And 61 - odd = even.  The only even prime is 2.  So 2 had to be one of the two numbers.

Answer:

0

Step-by-step explanation:

this is the correct answer you want please follow me ol

Laplace transforms are an essential mathematical tool used to solve differential equations. These transforms transform differential equations to algebraic equations that can be solved easily.

To solve the differential equations given in the question, we will use Laplace transforms. So let's start:Solution:a) y" – y = t y(0) = 1, y'(0) = 1First, we take the Laplace transform of the given differential equation.L{y" - y} = L{ty}

Taking the Laplace transform of both sides gives:L{y"} - L{y} = L{ty}Using the formula, L{y"} = s²Y(s) - s*y(0) - y'(0), and L{y} = Y(s) then we get:s²Y(s) - s - 1 = (1/s²) + (1/s³)Rearranging the above equation, we get:Y(s) = [1/(s²*(s² + 1))] + [1/(s³*(s² + 1))]Now, we apply the inverse Laplace transform to find the solution.y(t) = (t/2)sin(t) + (cos(t)/2)

The solution of the differential equation y" – y = t, with initial conditions y(0) = 1, y'(0) = 1 is y(t) = (t/2)sin(t) + (cos(t)/2).

To know more about Laplace transforms visit

https://brainly.com/question/30759963

#SPJ11

Answer:

3) Angle plus the angle will be the sum of the line making it 180 degrees.

4) X being the missing variable number to solve the final product of 180 with both angles missing a variable number. With angle 1 being 11x-6 and angle 2 being 4x+21

5) This is the after work when 11x and 4x was combined giving 15x and 21 and -6 combined giving 15 which combines both angles helping to find the sum in which will be 180

6) The after work, after 180 was subtracted with 15 giving it 165

7) The after work, after 165 was divided by 15 giving it 11, with 11 being the missing value of x

Step-by-step explanation:

For the given function f(x) the graph has a domain of (-5 , 0). For the function g(x) represented by the table the domain is given by the values (-3, 3).

The set of all potential inputs or independent variables for which a function is defined is known as the domain of the function in mathematics. In other words, it is the collection of all possible x-values for the function. On the other hand, the collection of all potential dependent variables or outputs that a function may produce for the specified inputs is known as the range of the function. It is the collection of all y-values that the function is capable of producing.

Given that the function f(x) is the graph while the function g(x) is represented by the table.

For the given function f(x) the graph has a domain of (-5 , 0). The range of the function is (4, infinity). The vertex of the function is given by the coordinates (2, 4). The axis of symmetry of the parabola is x = -2.

For the function g(x) represented by the table the domain is given by the values (-3, 3). The range of the function is given as (25, 1). The x-intercept is at the point 2. The y-intercept is at the point 4.

Learn more about domain here:

https://brainly.com/question/29452843

#SPJ1

Answer:

  area = 14/π +4/3 ≈ 5.78967

Step-by-step explanation:

You want a sketch and the value of the area enclosed by the curves ...

The attached graph shows the curves intersect at x = ±1/2, so those are the limits of integration. The area is symmetrical about the y-axis, so we can just integrate over [0, 1/2] and double the result.

  \(\displaystyle A=2\int_0^{0.5}{(7\cos{(\pi x)}-(8x^2-2))}\,dx=2\left[\dfrac{7}{\pi}\sin{(\pi x)}-\dfrac{8}{3}x^3+2x\right]_0^{0.5}\\\\\\A=\dfrac{14}{\pi}-\dfrac{2}{3}+2=\boxed{\dfrac{14}{\pi}+\dfrac{4}{3}\approx 5.78967}\)

<95141404393>

The rejection region when n is large and the population standard deviation is known for a two-tailed test with a 0.05 significance level is between ±1.96. The correct option is A.

A two-tailed test is a statistical test that tests whether a sample average is significantly different from either the average of a population, a specified average, or another sample average. When a two-tailed test is conducted, the null hypothesis is rejected if the test statistic falls in either the left tail or the right tail of the distribution.

The significance level (α) is a statistical term used to compare the null hypothesis of a test with the actual data. When calculating the significance level, you determine the probability of a given sample outcome if the null hypothesis is true. If the probability of obtaining the sample outcome is less than the significance level, the null hypothesis is rejected.

The significance level is calculated using a critical value. The critical value is calculated based on the distribution of the test statistic, the desired confidence level, and the degrees of freedom. For a two-tailed test with a 0.05 significance level, the critical value is ±1.96.

Know more about two-tailed test here:

https://brainly.com/question/8170655

#SPJ11

Answer:

Equally Likely

Step-by-step explanation:

The answer is equally likely because equally likely events have the same probability of happening as another event.

For example, a fair coin.

It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.

Hope this helps!

If an event has a probability of 1/2 then the likelihood of this event is,

C. Equally likely.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

As equally likely occurrences have the same likelihood of occurring as other events, the answer is equally likely.

A fair coin is an illustration.

Both tails and heads are equally likely to land because there is a 1/2 chance that it will be one or the other.

learn more about probability here :

https://brainly.com/question/743546

#SPJ7

The expression that can be obtained from 8sin^2(x) using a power reducing formula is option A: 4 - 4cos(2x).

The power reducing formula for sin^2(x) states that

sin^2(x) = (1/2)(1 - cos(2x)).

To apply the power reducing formula to 8sin^2(x), we first divide by 8 to get sin^2(x) = (1/8)(1 - cos(2x)).

Then, multiplying both sides by 8, we have 8sin^2(x) = (1 - cos(2x)).

Comparing this expression with the given options, we can see that option A, 4 - 4cos(2x), is equivalent to 8sin^2(x) after applying the power reducing formula.

Therefore, the expression that can be obtained from 8sin^2(x) using a power reducing formula is 4 - 4cos(2x), which corresponds to option A.

To learn more about power reducing formula click here: brainly.com/question/29105378

#SPJ11

In perimeter, The cost to frame Joy's math certificate in a fancy frame is $138.00.

The dimensions of Joy's math certificate are 10 inches tall and 13 inches wide.

Joy wants to frame it in a fancy frame that costs $3.00 per inch.

To determine the total cost of framing the certificate, we need to find its perimeter and then multiply that by the cost per inch.

The perimeter of the certificate is:

Perimeter = 2 × (height + width)

Substituting the given values, we get:

Perimeter = 2 × (10 + 13)Perimeter = 46 inches

Therefore, the total cost of framing Joy's math certificate is:

Total cost = Perimeter × Cost per inch

Total cost = 46 × 3.00Total cost = $138.00

Thus, the cost to frame Joy's math certificate in a fancy frame is $138.00.

Know more about perimeter:

https://brainly.com/question/30252651

#SPJ11

We can rewrite the expression only using natural logarithms as:

logₐ(n)/logₙ(c) = (ln(n))^2/(ln(a)*ln(c))

First, you need to remember that:

logₐ(x) = ln(x)/ln(a).

Then the expression:

logₐ(n)/logₙ(c)

(I just changed the letter "b" for the letter "n" there, just because i don't have a "b" as a subscript).

Can be rewritten as:

logₐ(n)/logₙ(c) = (ln(n)/ln(a))*(ln(n)/ln(c)) = (ln(n))^2/(ln(a)*ln(c))

Then we have the simplification:

logₐ(n)/logₙ(c) = (ln(n))^2/(ln(a)*ln(c))

If you want to learn more about logarithms:

https://brainly.com/question/25710806

#SPJ1

The algebraic expression for 10 more than a number is x + 10 or 10 + x.

The x in the expression is called a variable, which can be represented by any letter in the alphabet.

An algebraic expression is a mathematical expression that consists of numbers, variables and operators, and its value can change.

Some basic mathematical operators are +, -, x and /.

The given phrase states that a result can be obtained by adding 10 more to the variable.

The variable x can be replaced by any number.

If x equals 2, then the expression x + 10 has a value of 12.

To know more about algebraic expression visit brainly.com/question/953809

#SPJ4

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

a. The probability of five 50-year floods occurring in a 100-year period is 0.05

b. The probability of a 100-year flood occurring one or more times in 50 years is 0.01
c. The probability of one or more floods of 50-year severity occurring in 100 years is 0.02

d. The return period of flood that should be used in the design is 20 years.

a. The probability of five 50-year floods occurring in a 100-year period can be calculated as follows:

P(E) = n(E)/n(S) = 5/100 = 0.05

b. The probability of a 100-year flood occurring one or more times in 50 years can be calculated as follows:

P(E) = n(E)/n(S) = 1/100 = 0.01

c. The probability of one or more floods of 50-year severity occurring in 100 years can be calculated as follows:

P(E) = n(E)/n(S) = 1/50 = 0.02

d. If an engineer accepts a 5% chance of flood control levee being overtopped in 25 years, the return period of flood that should be used in the design can be calculated as follows:

P(E) = n(E)/n(S) = 0.05 = 1/R

R = 1/0.05 = 20

The probability of an event occurring can be calculated using the formula P(E) = n(E)/n(S), where P(E) is the probability of the event, n(E) is the number of ways the event can occur, and n(S) is the total number of possible outcomes.

Know more about probability here:

https://brainly.com/question/13604758

#SPJ11

thinking about lottery prize is the answer your welcome