Multiply. 2 5/8⋅(−4 3/4)
A. −12 15/32
B. −8 15/32
C. −7 3/8
D. −2 1/8

Answer:

6.5 = h + 2

h = 4.5

Step-by-step explanation:

We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5

[tex]y = 4^{-2}[/tex] = [tex]\frac{1}{16}[/tex]

[tex]y = 4^ {1}[/tex] = [tex]\\ 4[/tex]

[tex]y = 4^{3}[/tex] = [tex]\\ 64[/tex]

Answer:

  -8

Step-by-step explanation:

Put the given values where the corresponding variables are, and do the arithmetic.

__

  f(x) = 12 -3x

  f(5) = 12 -3(5) = -3

__

  j(x) = x² +4x -1 = (x +4)x -1

  j(-2) = (-2 +4)(-2) -1 = 2(-2) -1 = -5

__

  f(5) +j(-2) = -3 +(-5) = -8

The system of inequalities have no solutions, option D is correct.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that the graph shows the solutions to the inequalities y> 3x + 14 and y< 3x + 2.

We have to find the  system of inequalities have solutions has solutions or not

As we observe the graphs  y> 3x + 14 and y< 3x + 2 of these inequalities the shade of both lines are not overlapped.

So the two inequalities does not have solution

Hence, the system of inequalities have no solutions, opton D is correct.

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Answer:

The value of x is equal to 109

Answer:

C. 60

Step-by-step explanation:

Answer:

13.9%

Explanation:

Rolling for 2 : (1, 1)

Rolling for 5 : (1, 4), (4, 1), (2, 3), (3, 2)

So, there are (4 + 1) = 5 possible outcomes out of 36 outcomes

Note: There are 36 outcomes when rolling a two fair cubes.

[tex]\sf Probability = \dfrac{possible \ outcomes}{Total \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{5}{36} \ x \ 100[/tex]

[tex]\rightarrow \sf \dfrac{125}9} \%[/tex]

[tex]\rightarrow \sf 13.9 \%[/tex]

Answer:

740

Step-by-step explanation:

10^2 = 100

So 7.4 * 10^2

= 740

Answer:

D) m=2.55, b=-6.435

Step-by-step explanation:

See attached file ("a" represents the slope and "b" represents the y-intercept).

Step-by-step explanation:

(x - h)² + (y - k)² = r²

with (h, k) being the center and r the radius.

in our case the center is (1, 3), the radius is 3.

so, the right answer is the third answer option

(x - 1)² + (y - 3)² = 9

Answer:

  f(4) = 0

Step-by-step explanation:

For many sequences that involve recursive formulas, the quickest way to find the value of a given term is to evaluate those leading up to it. That seems to be the case here.

The next term after the one given is ...

  f(2) = f(1)² -1 = 1² -1 = 0

Then we have ...

  f(3) = f(2)² -1 = 0² -1 = -1

  f(4) = f(3)² -1 = (-1)² -1 = 0

The value of f(4) is 0.

_____

Additional comment

Now that we have seen a few terms of the sequence, we can write an explicit formula for the terms after the first:

  f(n) = (-1 +(-1)^n)/2 . . . integer n ≥ 2

Answer:

i think its D.

Step-by-step explanation:

i just counted

Answer:

0.91 g/cm³

Step-by-step explanation:

Density Formula

Solving

Based on the exchange rate and Victor's budget, hector can see the sumo tournament and have about $322 left over.

Conversion rate of US dollars to Japanese yen = 1 : 94.153

Ratio of dollar to Yuan

1 : 94.153 = x : 5,488

1/94.153 = x / 5,488

1 × 5,488 = 94.153x

5,488 = 94.153x

x = 5,488 / 94.153

x = 58.2881055303601

Approximately,

x = $58

Amount left with Victor = Total money with Victor - amount spent

= $380 - $58

= $322

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The range of the given data set, 33, 38, 35.5, 39.25, 31.75, is 7.5. The range represents the spread or the difference between the highest and lowest values in the data set.

To calculate the range of a data set, you need to find the difference between the maximum and minimum values.

Given the data set: 33, 38, 35.5, 39.25, 31.75

To determine the maximum value, we can compare the numbers in the data set and identify the highest one. In this case, 39.25 is the largest number.

To find the minimum value, we compare the numbers and identify the smallest one. Here, 31.75 is the smallest number.

Now, we can calculate the range by subtracting the minimum value from the maximum value:

Range = Maximum value - Minimum value

      = 39.25 - 31.75

      = 7.5

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Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

The thickness of each sheet of paper is 0.0012mm.

To find the thickness of each sheet of paper answer in millimeters​.

The act of measuring geometry applied to the computation of lengths, areas, or volumes from given dimensions or angles.

Given that:

A ream of A4 paper contain 500 sheets the size of each paper is 297mm long and 210mm wide the volume of the ream is 3742.2cm.

To convert cm in mm.

3742.2cm=37422 mm

Surface 1 sheet:

(297mm) X 210mm) =

62370[tex]mm^{2}[/tex]

Volume 1 sheet:

37422mm : 500 =

74.844mm

Thickness of 1 sheet:

74.844mm : 62370mm =

0.0012mm

So, the thickness of each sheet of paper is 0.0012mm.

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Answer:

Below in bold.

Step-by-step explanation:

-8xy-6xz + 10xy + 9xz - 4yx    (Note 4yx = 4xy)

Bringing like terms together we have:

-8xy + 10xy - 4xy - 6xz + 9xz

= -2xy + 3xz.

m² - 4m - 1 + m² - 8m + 5-6m² +3m - 1

= m² + m² - 6m² - 4m - 8m + 3m - 1 + 5 - 1

= -4m² - 9m + 3.

Answer:

The first answer is correct

Step-by-step explanation:

< O Z Q = < O Z P  + < Q Z P

Given that,

< O Z Q = 12x - 4

< O Z P = 6x + 4

< Q Z P = 3x + 10

Let us solve it now.

< O Z Q = < O Z P  + < Q Z P

12x - 4 = 6x + 4 + 3x + 10

Combine like terms and make the x as the subject.

12x - 4 = 9x + 14

12x - 9x - 4  = 14

3x - 4 = 14

3x = 14 + 4

3x = 18

Divide both sides by 3.

x = 6

Answer:

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

Step-by-step explanation:

Answer: 30.5

Step-by-step explanation:

Answer:

-13.5

Step-by-step explanation:

-6.52-6.98=-13.5

Answer:

  18

Step-by-step explanation:

The summation symbol is telling you there are 4 terms of the sum. The values of x in the terms range from 1 to 4.

__

The expanded form of the sum is ...

  (1 +2) +(2 +2) +(3 +2) +(4 +2)

  = 3 +4 +5 +6 = 18

The sum is 18.

_____

Additional comment

The sum can be rewritten as ...

  [tex]\displaystyle \sum_{x=1}^4{(x+2)}=\sum_{x=1}^4{x}+\sum_{x=1}^4{2}=\dfrac{4(4+1)}{2}+4\times2=10+8=\boxed{18}[/tex]

This way, you need to know the sum of integers from 1 to n is (n/2)(n+1). It may be easier just to write the terms out as we have done above.

Answer:

b = 8

Step-by-step explanation:

1.3b + 2 = 12.4

- Subtract 2 from both sides

1.3b = 12.4 - 2

- Subtract 2 from 12.4 to get 10.4.

1.3b = 10.4

- Divide both sides by 1.3.

b = [tex]\frac{10.4}{13}[/tex]

- Expand [tex]\frac{10.4}{13}[/tex] by multiplying both numerator and the denominator by 10.

[tex]b = \frac{104}{13}[/tex]

- Divide 104 by 13 to get 8.

The measure of the angle B is 30 degree after applying the sin law of triangle.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

We can apply the sin law of the triangle to find the angle B

[tex]\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}[/tex]

SinB = 0.499

B  = 29.99 ≈ 30 degree

Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.

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Answer: 19/28

Step-by-step explanation:

p(student plays basketball)=  14/28

p(student plays baseball)=  7/28

2 students play both sports= 2/28

⇒ 14/28+ 7/28 - 2/28 = 19/28

Answer: D) 80 degrees

Step-by-step explanation:

The value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

It is defined as the combination of constants and variables with mathematical operators.

We have:

[tex]\rm = 3^{\dfrac{6}{5}}[/tex]

We can write it as:

[tex]\rm = \sqrt[5]{3^6}[/tex]

The value of a = 3,

The value of b = 6, and

The value of c = 5

Thus, the value of a, b, and c are 3, 6, and 5 respectively because we can write the provided expression as ⁵√(3)⁶

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