In may cafe mocha raised their price for each cup of coffee $2.25 how much money did cafe mocha earn from their coffee of the month of may?

Step-by-step explanation:

(2^5)^-5

=2^(-25)

X^5 × X^-5

=X^5-5

=X^0 = 1

(6^5)/(6^-5)

=6^(5-(-5))

=6^10

3(x^2)/3xx

=3x^2/3x^2

=1

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Answer:

Answer and steps in picture.

The value of the fraction is x = 2 22/54

A fraction is defined as the part of a whole number or variable.

The different types of fractions are;

From the information given, we have that;

−8/9 = −1/6 − 3/10x

collect like terms

-8/9 + 1/6 = - 3/10x

find the LCM, we get;

-16 + 3  /18 = -3/10x

-3/10x = -13/18

cross multiply

-3x(18) = -13(10)

-54x = -130

Make 'x' the subject

x = 2 22/54

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Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ \(P(A|B)=\frac{P(A \cap B)}{P(B)}\)

or,

⇒ \(P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}\)

By substituting the values, we get

⇒                             \(=\frac{0.07}{0.16}\)

⇒                             \(=0.437\)  

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

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Answer:

the answer is C

Step-by-step explanation:

Both figures have an area of 4 units squared, so yea, the area is the same.

The area of a square of side length S is equal to S squared, for the square, we can see that:

S = 2 units.

Then the area is:

A = (2 units)² = 4 square units.

For the triangle, we know that the area is equal to:

A = B*H/2

Where B = base, H = height.

We can see that:

B = 2 units.

H = 4 units.

Then:

A = (2 units)*(4 units)/2= 4 square units.

So yea, both have the same area.

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Answer:

The value of \(v\) is ± 22.729.

Step-by-step explanation:

Let be \(a=m\cdot g -\frac{k\cdot v^{2}}{m}\), the variable \(v\) is now cleared:

\(\frac{k\cdot v^{2}}{m}=m\cdot g -a\)

\(k\cdot v^{2} = m^{2}\cdot g- m\cdot a\)

\(v^{2} = \frac{m^{2}\cdot g - m\cdot a}{k}\)

\(v =\pm \sqrt{\frac{m^{2}\cdot g-m\cdot a}{k} }\)

If \(a = 2.8\), \(m=12\), \(g = 9.8\) and \(k = \frac{8}{3}\), the value of \(v\) is:

\(v=\pm \sqrt{\frac{(12)^{2}\cdot (9.8)-(12)\cdot (2.8)}{\frac{8}{3} } }\)

\(v \approx \pm 22.729\)

The value of \(v\) is ± 22.729.

Answer:

(a) 36 points

(b) Pr(rolling a double number) ≅ 0.167

(c) Pr(a sum of 6 is rolled) ≅ 0.139

(d) Pr(a sum of 11 is rolled)  ≅ 0.056

(e) No.

Step-by-step explanation:

Sample space = {1,1  1,2  1,3  1,4  1,5  1,6  2,1  2,2  2,3  2,4  2,5  2,6  3,1  3,2  3,3  3,4  3,5  3,6  4,1   4,2  4,3  4,4  4,5  4,6  5,1  5,2  5,3  5,4  5,5  5,6  6,1  6,2  6,3  6,4  6,5  6,6}

(a) The number of points in the sample space is 36.

(b) Pr(rolling a double number) = \(\frac{6}{36}\)

                                                   = \(\frac{1}{6}\)  ≅ 0.167

(c) Pr(a sum of 6 is rolled) = \(\frac{5}{36}\) ≅ 0.139

(d) Pr(a sum of 11 is rolled) = \(\frac{2}{36}\)

                                           = \(\frac{1}{18}\) ≅ 0.056

(e) No. It is more likely to roll a sum of 6 than that a sum of 11.

Given

Factor the expression

Factor the common term x + 4

Answer:

The linear function is V(x) = 800x + 2400.

Given,

The cost of computer when purchased (the initial book value), V = 2400 (x = 0)

Company chooses to depreciate for 3 years using straight line method.

The book value after 3 years = 0 (x = 3)

We have to write a linear function that expresses the book value of the computer as a function of its age V(x).

Here, the value is depreciating over 3 years.

That is 2400 in 3 years = 2400/3 = 800

That is depreciating $800 in a year.

Now we can write the equation as:

V(x) = 800x + 2400

When we consider slope-intercept form, we can check that the above given equation of a line passes through two points: (0, 2400) and (3, 0)

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Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

The answer is 1/n⁴. option 2.

Step-by-step explanation:

1) You have to use the Quotient rule.

\( {n}^{6 - 10} \)

2)Then, Simplify 6 - 10 to -4.

\( {n}^{ - 4} \)

3) And lastly you have to use the negative power rule:

\( \frac{1}{ {n}^{4} } \)

And Therefor, the answer is, 1/n⁴.

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

511 million km²

Step-by-Step Explanation:

Let the total surface area of the Earth be x.

Water covers 70.7% of the total surface area of the Earth, i.e.,

70.7% of x = 3.61 x 10⁸ km²

or, 70.7x /100 = 3.61 x 10⁸ km²

or, 707x/1000 = 3.61 x 10⁸ km²

or, 707x = 3.61 x 10⁸ x 1000km²

or, 707x = 3.61 × 10^11 km²

or, x = 0.0051 × 10^11 km²

or, x = 5.1 × 10⁸ km² = 511 million km²

Hope it helps.

If you have any query, feel free to ask .

Answer:

511 million km²

Step-by-step explanation:

Let x be the approximate total surface area of the Earth.

Given water covers 70.7%, or about 3.61 × 10⁸ km², set up an equivalent ratio of percent (in decimal form) to area:

\(\implies 0.707:3.61 \times 10^8=1:x\)

Solve for x:

\(\implies\dfrac{0.707}{3.61 \times 10^8}=\dfrac{1}{x}\)

\(\implies0.707x=3.61 \times 10^8\)

\(\implies x=\dfrac{3.61 \times 10^8}{0.707}\)

\(\implies x=\dfrac{3.61 }{0.707}\times 10^8\)

\(\implies x=5.10608203...\times 10^8\)

One million has 6 zeros and can be written in scientific notation as:

Therefore, to write x in millions as x × 10⁶, subtract 2 from the exponent and move the decimal point to the right by 2 places:

\(\implies x=510.608203...\times 10^6\)

Therefore, the approximate surface area of the Earth is 510.608203... million km², which is 511 million km² to the nearest million.

Answer:

A.

Step-by-step explanation:

Answer:

16 in

Step-by-step explanation:

The values οf the determinants D, Dx, Dy, and Dz are -17, -52, 13, and -4, respectively.

Tο sοlve this system οf equatiοns using determinants, we need tο set up the cοefficient matrix and the augmented matrix. The cοefficient matrix is the matrix οf the cοefficients οf the variables, and the augmented matrix is the matrix οf the cοefficients and cοnstants.

The cοefficient matrix A is:

| 1 1 -1 |

| 3 4 -3 |

| 9 -3 4 |

The augmented matrix [A|B] is:

| 1 1 -1 | 4 |

| 3 4 -3 | 16 |

| 9 -3 4 | 14 |

Tο find the determinants D, Dx, Dy, and Dz, we need tο use the fοllοwing fοrmulas:

D = det(A)

Dx = det([B|A1])

Dy = det([A0|B|A2])

Dz = det([A0|A1|B])

where A0, A1, and A2 are the cοlumns οf A, and [B|A1], [A0|B|A2], and [A0|A1|B] are the augmented matrices with the cοrrespοnding cοlumns replaced by the cοnstants.

Using these fοrmulas, we get:

D = det(A) = -17

Dx = det([B|A1]) = -52

Dy = det([A0|B|A2]) = 13

Dz = det([A0|A1|B]) = -4

Therefοre, the values οf the determinants D, Dx, Dy, and Dz are -17, -52, 13, and -4, respectively.

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The frequency distribution that matches the data {3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8} is C.

Number

of Shoes   Frequency

3-5                   7

6-8                  6

9-11                 2

12-14              2

A frequency distribution is a frequency table or chart that visually displays the actual number of observations in each range or class or the percentage of the observations.

In this frequency distribution, the group 3-5 has the highest frequency of 7 followed by 6-8 with 6 frequencies.

3,8,5,6,4,3,7,8,9,5,5,6,4,12,14,10,8

Number

of Shoes   Frequency

3-5              IIIIIII        7

6-8              IIIIII         6

9-11             II             2

12-14           II             2

Total                        17

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Answer:

A.

Step-by-step explanation:

Rectangle: Length * Width

       —> 12 * 2 = 24

Triangle: Base * Height * 1/2

       —> 12 * 2 * 1/2 = 12

Matches answer A.

The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.

The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we  two by the product of a number and 7, the result is at most -29 if the number is -31/7.

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Answer:

The answer would be A

Step-by-step explanation:

If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.

Answer:

r = 15

Step-by-step explanation:

10(8r + 23) = 1430

Divide both sides by 10.

8r + 23 = 143

Subtract 23 from both sides.

8r = 120

Divide both sides by 8.

r = 15

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Natural numbers and irrational numbers are two pairs of sets that have the same cardinality.

It is sufficient to demonstrate the existence of a bijection between the set of real numbers R and the set of irrational numbers RQ in order to demonstrate that both have the same cardinality:

For each positive integer n, map n to 2n to produce a countable number of holes in R. Be aware that these countable holes are located at all irrational locations (2n-1), as well. R should be mapped to itself. R should be mapped to itself. Feel free to use your preferred irrational number in the above in place of \(\pi\).

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Answer: one solution x=3

Step-by-step explanation:

this problem is very simple, we need to figure out out what number(x) when multiplied by 2, and then you minus 3 (2x-3)

we need to then multiply this number by 5 to get 15, so 5x3 is what we need to find, so then we need to have the number 6 as 2x, or 3 as x.

so we end up with equation 5(2*3-3) or, 5(6-3), which equals 5*3= 15.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$790\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &5 \end{cases} \\\\\\ 790=P(0.04)(5)\implies \cfrac{790}{(0.04)(5)}=P\implies \boxed{3950=P}\)

Answer:

-8

thats the answerr im sure

Answer:

The answer is -8.

Try maybe working it out or using a calculator.

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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