5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 points
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 > 148
b. 12y + 40 > 148
d. 12y + 40 < 148
CU
b

Answer:

690 square ft

Step-by-step explanation:

2,070 cubic ft ÷ 3 ft = 690 ft squared

Answer:

B: 2/9

Step-by-step explanation:

There are a total of 9 bills in Scott's pocket, and he has 2 five dollar bills.

This means that the probability of pulling out a 5 dollar bill is 2/9.

Hence, the temperatures in these other cities are

Orlando is \(25\) degree

Salt Lake is \(-10\) degree

Minneapolis is \(-17\) degree

Fairbanks is \(-29\) degree

What is the degree?

A degree, usually denoted by °, is a measurement of a plane angle in which one full rotation is \(360\) degrees.

Here given that,

One winter day, the temperature in Houston is \(8\) Celsius.

In Orlando, it is \(17\) warmer than it is in Houston.

In Salt Lake City, it is \(18\) colder than it is in Houston.

In Minneapolis, it is \(25\) colder than it is in Houston.

In Fairbanks, it is \(12\) colder than it is in Minneapolis.

So, it would be

Orlando = \(25\) degree

because \(17+8=25\) degree

Salt Lake city \(= -10\) degree

because \(8-18=-10\) degree

Minneapolis \(= -17\) degree

because \(8-25=-17\) degree

Fairbanks \(= -29\) degree

because \(-17-12=-29\) degree

Hence, the temperatures in these other cities are

Orlando is \(25\) degree

Salt Lake is \(-10\) degree

Minneapolis is \(-17\) degree

Fairbanks is \(-29\) degree

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The height of rectangular prism B is 5 yards.

Let's first find the volume of rectangular prism B:

The volume of the solid figure = Volume of prism A + Volume of prism B

180 = 75 + length × width × height of prism B

105 = length × width × height of prism B

We know that the length of prism B is 7 yards and the width is 3 yards,

Substitute those values:

105 = 7 × 3 × height of prism B

105 = 21 × height of prism B

height of prism B = 105/21

height of prism B = 5

Therefore, the height of rectangular prism B is 5 yards.

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Answer: 53.5 seconds

Step-by-step explanation:

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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If Point m represents the opposite of negative 1/2 and point n represents the opposite of positive 5/2. Then M is 1/2 and N is -5/2.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

Given that point M represents the opposite of negative 1/2. Which means opposite of -1/2. The opposite of  -1/2 means positive of 1/2. The sign changes.

Point N represents the opposite of positive 5/2. Which means opposite of 5/2. The opposite of  5/2 means negative of 5/2. The sign changes.

opposite of positive 5/2 is -5/2.

Now let us plot this values on a number line. 1/2 is 0.5 and -5/2 means -2.5.

The graph is attached below.

Hence M is 1/2 and N is -5/2

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The composite result function (f o g) and (g o f ) the given functions f(x) = x/(x-7) and g(x) = 5/x are 5/(5 - 7x ) and (5(x - 7))/x respectively.

A function is simply a relationship that maps one input to one output.

Given the data in the question;

First, set up the composite result function ( f o g ).

( f o g ) = f( g(x) )

( f o g ) = f( g(x) )  = 5/x / ( (5/x) - 7 )

Simplify

( f o g ) = 5/x / ( (5/x) - 7 )

( f o g ) = 5/x × 1/( (5/x) - 7 )

( f o g ) = 5/x × x/(5 - 7x )

( f o g ) = 5/(5 - 7x )

Next, we find ( g o f ).

( g o f ) = g( f(x) ) = 5 / ( x/ (x - 7) )

Simplify

( g o f ) = 5 / ( x/ (x - 7) )

( g o f ) = 5 × (x - 7)/x

( g o f ) = (5(x - 7))/x

Therefore, the composite result function ( f o g ) equals 5/(5 - 7x ) and ( g o f ) equals (5(x - 7))/x.

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Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

well, the profit is clearly just 490 - 350 = 140.

Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).

based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.

the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.

The ball would not change the energy.

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Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))

                           = P(-1 < Z < 1)

When, Distribution function "\(\phi\)" now,

= \(\phi\)(1) - \(\phi\)(-1)

= \(\phi\)(1) - 1 + \(\phi\)(1)

= 2 × \(\phi\)(1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

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The cross section can be of these shapes square and triangle are; A, D

A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.

An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.

Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base

The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.

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Based on the dimensions of the parallelogram, it can be concluded its area would be 84 square meters.

The area of a parallelogram can be calculated using the following formula:

Area = base x height

This formula is the same that you would use for calculating the area of a rectangle due to the similarities between these two shapes. Now, let's use the formula to know the area:

Area = 12  meters x 7 meters

Area = 84 square meters

This means the total area is 84 square meters.

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a) The probability that the test comes back negative for all six people is  95.8%,

b)  The probability that the test comes back positive for at least one of the six people is 4.2%.

(a) To find the probability that the test comes back negative for all six people, we can use the fact that the test is 99.3% effective in accurately detecting the absence of the antibody.

Since the test is 99.3% effective, the probability of it coming back negative for each individual who does not have the antibody is 0.993. Therefore, the probability that the test comes back negative for all six people is calculated as follows:

P(negative for all 6) = (0.993)^6 ≈ 0.958

Therefore, the probability that the test comes back negative for all six people is approximately 0.958, or 95.8%.

(b) To find the probability that the test comes back positive for at least one of the six people, we need to consider the probability of a false positive.

The probability of a false positive, which is the probability of the test coming back positive when the antibody is not present, is given as 0.007. Therefore, the probability of the test correctly identifying the absence of the antibody is 1 - 0.007 = 0.993.

The probability that the test comes back positive for at least one person is the complement of the probability that the test comes back negative for all six people. So we can calculate it as follows:

P(positive for at least one person) = 1 - P(negative for all 6) ≈ 1 - 0.958 = 0.042

Therefore, the probability that the test comes back positive for at least one of the six people is approximately 0.042, or 4.2%.

In summary, the probability that the test comes back negative for all six people is approximately 95.8%, while the probability that the test comes back positive for at least one of the six people is approximately 4.2%.

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The box in a box plot represents the middle 50% of the data (E) and the interquartile range (F).

The radical equation has a solution set of ±√41

Given the radical equation below

√(x²-5)+6=0​

We need to determine the unknown parameter

Subtract 6 from both sides

√(x²-5)+6-6=0​ - 6

√(x²-5) = -6

Square both sides

(x²-5) = 36

x² = 36 + 5

x² = 41

x= ±√41

Hence the solution to the given radical equation is ±√41

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If the function are f(x) = \(-2x^{3}-3\) and g(x)= 2x+4, then the values of

f(-2) = 13

g(-6) = -8

The functions are

f(x) = \(-2x^{3}-3\)

g(x) = 2x+4

The function is an expression that represents the relationship between one variable and another variable. if one variable is independent variable another variable will be dependent variable.

First we have to find the value of f(-2)

Substitute the value of x= -2 in the given function

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

= -2×-8-3

= 16-3

= 13

Next we have to find the value of g(-6)

Substitute the value of x= -6 in the given function

g(-6) = 2×-6+4

= -12+4

= -8

Hence, if the function are f(x) = \(-2x^{3}-3\) and g(x)= 2x+4 then the values of

f(-2) = 13

g(-6) = -8

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Answer: C: 14.47

Step-by-step explanation:

Simply do: 72.35 * 0.2

20% of 72.35 = 14.47

Answer:

$14.47

Step-by-step explanation:

tip

= 20% of restaurant bill

= 20/100   x  72.35

= 0.2 x 72.35

= $14.47

Answer:

-10

Step-by-step explanation:

2(-2) = -4

3(-2) = -6

-4 + -6 = -10

Let's use vectors in order to find the resulting speed:

We can find the direction using the tangent identity:

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

Answer:

5(3x+4y)

Step-by-step explanation:

Answer:

7. The terms of expression 5x - 3xy are

a. 5xy and 3x b. 5x and 3x c. 5x and -3x d. 5x and

3xy​

Step-by-step explanation:

Im /gucci.

9514 1404 393

Answer:

  126.6751 feet

Step-by-step explanation:

The tangent relation can be helpful.

  Tan = Opposite/Adjacent

  tan(69°) = (330 ft)/(distance to base)

  distance to base = (330 ft)/tan(69°) ≈ 126.6751 ft

_____

Comment on precision

It would make more sense to round to 4 significant figures. The value of a unit in the fourth decimal place is 0.0001 feet = 0.0012 inches, somewhat less than the thickness of a human hair. We know of no technology that will make a measurement of that distance to that accuracy.