Nova's goal is to jog a total of 15 miles this week. In three days, she has jogged distances of 2.7 miles, 3.6 miles, and 4.3 miles. How many more miles does Nova need to jog to reach her goal?

Answer:

yeah .It can be measured

y = f(x) by removing the parameter, resulting in an explicit relationship between x and y.0 < t < 2, y = 3 + 2x, x = -t, y = 3 - 2t.

Any function that is modeled using an independent variable is said to be explicit. When y is a dependent variable and depends on the independent variable x, for instance, the expression y = 4x - 7 is explicit. A function that has multiple variables and one of them that is a function of another set of variables is known as an explicit function.

The dependent variable can be directly expressed in terms of the independent variable in an explicit algebraic function. When discussing writing, the terms explicit and implicit are used to distinguish between things that are directly stated and those that are implied. The use of transition words and phrases depends on whether the relationship between the sentences is explicit (stated). If a relationship is implied in a sentence, the reader must draw that conclusion.

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Answer: v = 40mm * 25mm * 2mm = 2000 mm^3 so, the weight is 2000 mm^3 * .0005oz/1mm^3 = 1oz

Step-by-step explanation:

The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 <  sqrt 9 < pi  < sqrt 9

The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.

The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :

pi= 3.147= 3.15

-3= -3.00

sqrt 49=7.00

sqrt 9 =3.00

Therefore,-3.00 <  sqrt 9 < pi  < sqrt 9

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\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 15}}{\left( \cfrac{60}{100} \right)15}\implies 9~\hspace{7em} \stackrel{15-9}{6}\)

Answer:

-9

Step-by-step explanation:

Answer:

102594

Step-by-step explanation:

2.34 + 45.6 + 978 = ___

Answer:

10x<9x>=-3

Step-by-step explanation:

(6x +4x <-3 (5x-8>=-3

10x<-3(-3x>=-3

multiple the bracket by -3

10x<9x>-3

The result of the each of the following set is

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

The given values are

A = {1, 3, 5, 7, 9}

B = {3, 6, 9}

C = {2, 4, 6, 8}

Then find the each given terms in set roaster notation

Union of the set, intersection of the set  and the difference of the set are the basic operations of set

A ∪ B = {1, 3, 5, 6, 7, 9}

A ∩ B = {3, 9}

A ∪ C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∩ C = {∅}

A - B = {1, 5, 7}

B - A = {6}

B U C = {2, 3, 5, 6, 8, 9 }

B ∩ C = {6}

Therefore, all the given terms has been found

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Answer:

x = 30

Step-by-step explanation:

We start off with 90 degrees

2x + x = 90

Add all like terms

3x = 90

Divide 3 on both sides

\(\frac{3x} {3} = \frac{90} {3}\)

x = 30

To check your answer:

Let x be 30

2x + x = 90

2 (x 30) + 30 = 90

60 + 30 = 90

90 = 90

Answer:

97 degress

Step-by-step explanation:

2 and 3 form a supplementary angle, meaning the sum of their angles should equal 180.

The measure of ∠3 is 97°.

If two angles add up to 180 degrees, they are considered supplementary angles. When combined, supplementary angles form a straight angle of 180 degrees. In other words, if Angle 1 + Angle 2 equals 180 degrees, angles 1 and 2 are added together. Angles 1 and 2 are referred to as "supplements" of one another in this instance.

Given two lines intersect and form angles

∠1, ∠2, ∠3, ∠4

and ∠2 = 83°

here ∠2 and ∠3 form supplementary angles,

them ∠2 + ∠3 = 180°

83 + ∠3 = 180

∠3 = 180 - 83

∠3 = 97°

Hence measure of ∠3 is 97°.

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The inverse function of f(x) = (x + 2)/(x - 3) is given as follows:

\(f^{-1}(x) = \frac{3x + 2}{x - 1}\)

The function in this problem is defined as follows:

f(x) = (x + 2)/(x - 3).

Using the notation y = f(x), it is given as follows:

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

To obtain the inverse, the first step is exchanging the variables x and y, as follows:

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

Now the variable y must be isolated to obtain the inverse function, as follows:

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

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

Hence the inverse function is given by:

\(f^{-1}(x) = \frac{3x + 2}{x - 1}\)

Meaning that the fourth option is correct.

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The graphed inequality is:

\(y \geq \frac{1}{3}*x - 1\)

We know that the line is solid, and the region above and to the left is shaded, then the inequality is of the form:

y  ≥ line.

Now we need to get the linear equation.

It is of the form;

y = a*x + b

Where a is the slope and b is the y-intercept. Because it passes through (0, -1), we know that the y-intercept is -1.

And knowing that the line passes through (0, -1) and (3, 0), the slope is:

\(a = \frac{- 1 - 0}{0 - 3} = \frac{1}{3}\)

Then the inequality is:

\(y \geq \frac{1}{3}*x - 1\)

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The simplified form of the given expression is \(\frac{3}{2} x-3.5+2y\).

The given expression is \((\frac{7}{4} x-5)+(2y-3.5)+(-\frac{1}{4} x+5)\).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression can be solved as follows:

\((\frac{7}{4} x-5)+(2y-3.5)+(-\frac{1}{4} x+5)\)

Group the like terms and simplify.

That is, \(\frac{7}{4} x-5+2y-3.5-\frac{1}{4} x+5\)

\(=(\frac{7}{4} x-\frac{1}{4} x)-5-3.5+5+2y\)

\(=\frac{6}{4} x-3.5+2y\)

\(=\frac{3}{2} x-3.5+2y\)

Therefore, the simplified form of the given expression is \(\frac{3}{2} x-3.5+2y\).

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Answer:

what are teachers teaching these days!?!?!?

Step-by-step explanation:

‍♀️

Solution

For this case we can see that QT is perpendicular to PR and we want to find the correct proportional rule and for this case is:

C. PT/TQ = PR/TQ

To determine the consumption when income increases from $9,000 to $9,500, we can use the concept of the marginal propensity to consume (MPC).

The MPC represents the proportion of each additional dollar of income that is consumed. The marginal propensity to save (MPS) is the complement of the MPC, representing the proportion of each additional dollar of income that is saved.

Given that the MPC is 1 - MPS and the MPS is 0.2, we can calculate the MPC as follows:

MPC = 1 - MPS

MPC = 1 - 0.2

MPC = 0.8

Now, let's calculate the increase in consumption due to the increase in income:

Increase in income = $9,500 - $9,000 = $500

Increase in consumption = MPC * Increase in income

Increase in consumption = 0.8 * $500

Increase in consumption = $400

Finally, to find the new consumption level when income increases to $9,500, we add the increase in consumption to the initial consumption level:

New consumption = Initial consumption + Increase in consumption

New consumption = $10,000 + $400

New consumption = $10,400

Therefore, when income increases to $9,500, the consumption will be $10,400.

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The rotated shape after a 270-degree anticlockwise rotation about the origin is A'(1, -1), B'(4, -2), C'(3, -5), and D'(5, -1).

The shape is ABCD, A(1,1), B(2, 4), C(5, 3) and D(1, 5)

We can rotate the shape 270 degrees anticlockwise about the origin by swapping the x and y coordinates and changing the sign of the new y coordinate:

Point A(1, 1):

New x-coordinate = 1

New y-coordinate = -1

A' = (1, -1)

Point B(2, 4):

New x-coordinate = 4

New y-coordinate = -2

B' = (4, -2)

Point C(5, 3):

New x-coordinate = 3

New y-coordinate = -5

C' = (3, -5)

Point D(1, 5):

New x-coordinate = 5

New y-coordinate = -1

D' = (5, -1)

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The approximate increase in units sold for a given increase in advertising spending can be calculated using the formula ΔN ≈ (80 - x/15) * Δx.

To surmised the expansion in units sold for a given expansion in publicizing spending, we can utilize differential approximations.

The condition given is N = 80x - \(x^_2\)/30, where N addresses the quantity of units sold and x addresses the publicizing spending in thousands.

We should accept we need to work out the surmised expansion in units sold while the publicizing spending increments by Δx thousand.

In the first place, we track down the subordinate of N as for x:

dN/dx = 80 - x/15

Then, we utilize the differential guess equation:

ΔN ≈ (dN/dx) * Δx

Subbing the subsidiary and Δx into the equation, we get:

ΔN ≈ (80 - x/15) * Δx

Presently we can ascertain the estimated expansion in units sold by connecting the ideal worth of Δx.

For instance, in the event that Δx = 2:

ΔN ≈ (80 - x/15) * 2

Improving on the articulation will give you the surmised expansion in units sold for the given expansion in publicizing spending.

It's vital to take note of that this is an estimation and expects a direct connection between publicizing spending and units sold. For additional precise outcomes, further investigation and displaying might be required.

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Answer:

i is d i think so

Step-by-step explanation:

Answer:

it is A area of trapezoid = 1/2 × h( base1+base2) so it is 1/2× 8×(13+19)

The probability of 2 people insists on sitting side by side is 2/7. In the next, the probability of 2 people insists on sitting side by side is 2/5

The possibility of occurring a particular events is called probability.

it is expressed in ratio of two data. The probability has no unit to measure.

Number of students =7, among them 2 are insists on sitting side by side

now probability to sit in such a way = 2/7

again, 2 students will never sit side by side so the number became 5.

probability to sit side by side = 2/5

hence, the result is 2/7 and 2/5

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John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.

John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.

Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.

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Answer:

The number is 3,552

15⅝% of 3,552 is 555

Step-by-step explanation:

15⅝% of a number is 555.

To determine what number it is, let the number be x.

Thus,

15⅝%*x = 555

\( \frac{125}{8}*\frac{1}{100}*x = 555 \)

\( \frac{125}{800}*x = 555 \)

\( \frac{125*x}{800} = 555 \)

Multiply both sides by 800

\( \frac{125*x}{800}*800 = 555*800 \)

\( 125*x = 444,000 \)

Divide both sides by 125

\( \frac{125*x}{125} = \frac{444,000}{125} \)

\( x = 3,552 \)

The number = 3,552

15⅝% of 3,552 is 555

The total distance that the monkey has traveled when she completes her 10th swing is of:  89.26 m.

With each swing, she passes through an arc 4/5 of the previous swing, hence the distance is modeled by a geometric sequence with common ratio of q = 4/5 = 0.8.On the first swing, she passes through an arc of 20m, hence the first term of the geometric sequence is of 20.

The sum of the first n terms of a geometric sequence is given by the equation presented as follows:

The parameters for this problem are given as follows:

Hence the total distance the monkey has traveled when she completes her 10th swing is calculated as follows:

Distance = 20 x (0.8^10 - 1)/(0.8 - 1) = 89.26 m.

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The margin of error for the true proportion of all individuals who are fans of the New York Yankees is 0.058.

The Correct option is (B).

The formula to calculate the margin of error  for the true proportion is;

M = √[p(1 - p)/n]

Given:

n= 40

p = 44/70

Now, The general formula for the margin of error would be:

z x √[p (1-p) ÷ n]

where:

z = values for selected confidence level

p = sample proportion

n = sample size

Since the confidence level is not given,

√[p (1-p) ÷ n]  

=√[44/70 (1 - (44/70) ÷ 70]

=√[0.6286 (0.3714)] ÷ 70

=√0.2335 ÷ 70

= √0.0033357

= 0.05775 or 0.058

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The area of the shaded region shown in the figure is 80π unit²

An equation is an expression that shows the relationship between two or more variables and numbers.

Area of the shaded region = area of semicircle IL - area of semicircle JK + area of semicircle IJ + area of semicircle KL

Area of the shaded region = area of semicircle IL + area of semicircle IJ = (0.5 * π * 12²) + (0.5 * π * (12/3)²) = 80π

The area of the shaded region shown in the figure is 80π unit²

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On solving the provided question, we can say that The probability of a person purchasing both a beverage and gasoline is 0.060, or 6%.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

At a gas station, 84% of customers buy gasoline

\(P (A) = 0.84\)

5% of customers buy gasoline and a beverage

\(P (B) = = 0.05\)

conditional probability = P (A and B) = P(A) × P(B/A)

\(P(B/A) = P (A and B) / P(A)\\P ( B/A ) = 0.0595 = 0.060 or 6%\\\)

The likelihood of a person purchasing both a beverage and gasoline is 0.060, or 6%.

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The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.

The number of orange candies in a sample of 50 candies as a binomial random variable with n = 50 and p = 0.30, p is the probability of selecting an orange candy.

The probability that the sample contains 38% or more orange candies, we need to calculate the cumulative probability of the binomial distribution from x = 0 to x = 19, and subtract it from 1.

Here, x is the number of orange candies in the sample, and 19 is the largest integer less than or equal to 0.38 × 50=19.

Using a binomial calculator or software, we can find that the cumulative probability of the binomial distribution from x = 0 to x = 19 is approximately 0.034.

The probability that the sample contains 38% or more orange candies is approximately:

1 - 0.034 = 0.966

The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.

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Answer:

$12.50

Step-by-step explanation:

$50/4 = $12.50

Answer:

The answer is 11.6.