A-(b+c)for a=2 b=-5 c=8

Answer:

$20(.85)(1.06) = $18.02

The ratio of time on vacation to time working as a fraction in lowest terms when working 24 weeks and rewarded with 3 days of vacation is 1/56.

If you spent 24 weeks working on a project for your job and were rewarded with 3 days of vacation, the ratio of time on vacation to time working as a fraction in lowest terms can be calculated as follows:

Answer:

4√7/5

Step-by-step explanation:

3×√7/5-√28/5+√63/5

3√7/5-2√7/5+3√7/5

4√7/5

The simplified value of [tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex] will be [tex]\frac{4\sqrt{7}}{25}[/tex].

System of equations is a finite set of equations for which common solutions are sought.

We have,

[tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex]

Now,

Take LCM, of the given fraction,

We get,

[tex]\frac{3\sqrt{7} -\sqrt{28}+\sqrt{63}}{25}[/tex]

Now,

Simplify by rewriting every number in numerator in form of [tex]\sqrt{7}[/tex],

i.e.

[tex]\frac{3\sqrt{7} -\sqrt{4*7}+\sqrt{9*7}}{25}[/tex]

Now,

[tex]\frac{3\sqrt{7} -2\sqrt{7}+3\sqrt{7}}{25}[/tex]

Now,

Every digit is in the form of  [tex]\sqrt{7}[/tex],

So,

Simplify,

We get,

[tex]=\frac{4\sqrt{7}}{25}[/tex]

So,

This is the simplified form of the given equation.

Hence, we can say that the simplified value of [tex]\frac{3\sqrt{7} }{25} -\frac{\sqrt{28} }{25} +\frac{\sqrt{63} }{25}[/tex] will be [tex]\frac{4\sqrt{7}}{25}[/tex].

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Answer:

40 deg

Step-by-step explanation:

This is just m anglex=.5(58+22)=.5(80)=40

Answer:

x = 40

Step-by-step explanation:

When 2 chords intersect inside a circle then the measure of the angle formed is half the sum of the arcs intercepted by the angle and it's vertical angle, so

x = 0.5(58 + 22)° = 0.5 × 80° = 40°

Answer:

15 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius R is 2*Pi*R.  Similarly, the volume of a ball enclosed by a sphere of radius R is (4/3)*Pi*R3. And the formula for the surface area of a sphere of radius R is 4*Pi*R2. And, you can check that the latter is the derivative of the former with respect to R.

Answer:

15 inches

Step-by-step explanation:

SA=4PIR^

900PI=4PIR^2

R^2=900PI/4PI

R^2=225

R=SQRT225

R=15 IN.

PROOF:

900PI=4PI^15^2

900PI=4PI*225

900PI=900PI

By applying the principle of inclusion-exclusion and considering students in History, we find that 3 students are in neither Math Competition classes nor Geometry.

To determine how many students are in neither Math Competition classes nor Geometry, we can use the principle of inclusion-exclusion. We have 50 students in total, with 25 in Math Competition classes and 29 in Geometry. However, since 19 students are in both classes, they were counted twice when we added the students in Math Competition classes and Geometry together. Thus, we subtract the number of students in both to avoid double-counting:
(25 + 29 - 19) = 35 students are in at least one of the math classes. Additionally, 12 students are in a History class and no math classes. Therefore, the number of students in at least one class (math or history) is 35 + 12 = 47.

Finally, to find the number of students in neither class, we subtract the number of students in at least one class from the total number of students:
50 - 47 = 3 students are in neither Math Competition classes nor Geometry.

Answer:

First car:  35 gallons

Second car: 15 gallons

Step-by-step explanation:

Assuming [tex] x [/tex] to be the gas consumed by 1st car and [tex] 50 - x [/tex] to be the gas consumed by 2nd car.

We know that:

Distance traveled = fuel efficiency × gas consumed

[tex]20x+35(50-x)=1225[/tex]

[tex]20x+1750-35x=1225[/tex]

[tex]35x-20x=1750-1225[/tex]

[tex]15x=525[/tex]

[tex]x=35[/tex]

So [tex]50 - x = 50-35=15 [/tex]

Therefore, first car consumed 35 gallons while second car consumed 15 gallons.

Answer:

First car: 35 gallons

Second car: 15 gallons

Step-by-step explanation:

Set up a system of equations.Let be "x" the number of gallons consumed by the first car and "y" the number of gallons consumed by the second car.

Then:

[tex]\left \{ {{x+y=50} \atop {20x+35y=1,225}} \right.[/tex]

Applying the Elimination method, multiply the first equation by -20, then  add both equations and solve for "y":

[tex]\left \{ {{-20x-20y=1,000} \atop {20x+35y=1,225}} \right. \\.......................\\15y=225\\y=15[/tex]

Substitute this value into the first equation and solve for "x":

[tex]x+15=50\\x=35[/tex]

Answer:

Step-by-step explanation:

Angles (2x + 14)° and (x + 7)° are complementary angles.

If two angles are complementary, then they add up to 90°.

Therefore we have the equation:

(2x + 14) + (x + 7) = 90      combine like terms

(2x + x) + (14 + 7) = 90

3x + 21 = 90          subtract 21 from both sides

3x = 69          divide both sides by 3

x = 23

Answer:

B. [tex]x=3,\ y=20,\ z=-14[/tex]

Step-by-step explanation:

Consider the system of three equations:

[tex]\left\{\begin{array}{l}2x+2y+3z=4\\5x+3y+5z=5\\3x+4y+6z=5\end{array}\right.[/tex]

Multiply the first equation by 5, the second equation by 2 and subtract them:

[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\3x+4y+6z=5\end{array}\right.[/tex]

Multiply the first equation by 3, the second equation by 2 and subtract them:

[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\-2y-3z=2\end{array}\right.[/tex]

Multiply the third equation by 2 and add the second and the third equations:

[tex]\left\{\begin{array}{r}2x+2y+3z=4\\4y+5z=10\\-z=14\end{array}\right.[/tex]

Fro mthe third equation

[tex]z=-14[/tex]

Substitute it into the second equation:

[tex]4y+5\cdot (-14)=10\\ \\4y=10+70\\ \\ 4y=80\\ \\y=20[/tex]

Substitute y=20 and z=-14 into the first equation:

[tex]2x+2\cdot 20+3\cdot (-14)=4\\ \\2x+40-42=4\\ \\2x-2=4\\ \\2x=6\\ \\x=3[/tex]

The solution is

[tex]x=3,\ y=20,\ z=-14[/tex]

Answer:

25%

1/3

100%

5/4

2.5

Step-by-step explanation:

Convert all the values into decimals and order them from least to greatest.

Answer:

x= 2.2​

Step-by-step explanation:

-0.45х + 0.33 = -0.66

Subtract .33 from each side

-0.45х + 0.33-.33 = -0.66-.33

-.45x = -.99

Divide each side by -.45

-.45x/.-45 = -.99/.-45

x =2.2

Answer:

Their point of intersection will always be on the line y = x.

Step-by-step explanation:

We have a function f(x) and its inverse is the function f⁻¹(x).

The domain and range of a function replaces each other for the inverse of that function.

So if f(x) and f⁻¹(x) are inverse of each other

and f(a) = b

then a = f⁻¹(b)

Another example to make it clear is that

f(5) = 25

f⁻¹(25) = 5

The function and its inverse will intersect each other at the point where f(x) = f⁻¹(x) which is only possible when a = b.

Hence, a function and its inverse will always intersect at a point on the line x=y.

Answer:

9

Step-by-step explanation:

(5)+4=9

The missing output value is:

                             9

The function in terms of the variable x, where x represents  the input value is given by the formula:

                [tex]F(x)=x+4[/tex]

where F(x) is the output value corresponding to the input value x.

We are asked to find the missing output value i.e. we are asked to find the value of F(x) at x=5.

i.e. we have:

[tex]F(5)=5+4\\\\i.e.\\\\F(5)=9[/tex]

          Hence, the missing output value is: 9

Final answer:

The student missed the conversion from minutes to hours. The correct conversion is 26 hours × 60 minutes/hour × 60 seconds/minute, which equals 93,600 seconds.

Explanation:

Identifying the Missed Conversion Step

The student was attempting to convert 26 hours into seconds but arrived at an incorrect result of 1560 seconds. The error occurred because the student skipped the correct conversion ratio between minutes and hours. For such conversions, it is essential to use the correct conversion factors: 60 minutes per hour and 60 seconds per minute.

Correct Conversion Process

To convert 26 hours to seconds:

First, convert hours to minutes: 26 hours × 60 minutes/hour = 1560 minutes.

Then, convert minutes to seconds: 1560 minutes × 60 seconds/minute = 93,600 seconds.

Therefore, the correct number of seconds in 26 hours is 93,600 seconds.

Answer:

A. y - 7 = -4(x + 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE [RECIPROCAL] rate of changes [slopes], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.

To find the equation of a line perpendicular to y=-4x -1 that passes through (-2, 7), we take the negative reciprocal of -4 to find the slope of the perpendicular line. Plugging in the values (-2, 7) and 1/4 for the slope, we get the equation y - 7 = 1/4(x + 2). Therefore, the correct answer is A. y - 7 = -4(x + 2).

To find the equation of a line perpendicular to a given line, we need to determine the slope of the perpendicular line. The given equation is in the form y = mx + b, where m represents the slope. The slope of the given line is -4. To find the slope of the perpendicular line, we take the negative reciprocal of -4, which is 1/4. Now that we have the slope, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line. Plugging in the values (-2, 7) for (x1, y1) and 1/4 for the slope, we get the equation y - 7 = 1/4(x + 2). Therefore, the correct answer is A. y - 7 = -4(x + 2).

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Answer:

[tex]n=5[/tex]

Step-by-step explanation:

We have the following expression [tex]\frac{2}{8} = \frac{n}{20}[/tex] and we must solve for variable n.

To solve the equation multiply by 20 on both sides of the equality and you will get the following

[tex]20*\frac{2}{8} = 20*\frac{n}{20}[/tex]

[tex]\frac{20*2}{8} = \frac{20n}{20}[/tex]

[tex]\frac{40}{8} = n[/tex]

[tex]n= \frac{40}{8}[/tex]

Finally we have that:

[tex]n=5[/tex]

Answer:

n=5

Step-by-step explanation:

2/8 = n/20

Using cross products

2 * 20 = 8*n

40 = 8n

Divide each side by 8

40/8 = 8n/8

5 =n

Answer:

xy(x+8)(x^2-6y)

Step-by-step explanation:

To long to explain, but you can just google it if you just need the answer

Answer:

xy(x^2 - 6y)(x + 8 ) .

Step-by-step explanation:

The Greatest Common Factor of this expression is:

 xy so dividing by this:

= xy(x^3 + 8x^2  - 6xy - 48y).

Factoring the expression in the parentheses by grouping:

= xy [ x^2( x + 8) - 6y (x + 8)]

= xy(x^2 - 6y)(x + 8 )  (answer).

Answer:

Simplified to -281250

Step-by-step explanation:

Answer:

Pie: Pie is a dessert that has pastry from top to bottom and has filling in the middle.

Best type of pie: In my opinion: Key Lime Pie

Pie Emoji: No clue, you'll have to email Apple or Samsung (or whatever your phone provider is) and ask them to update or change the emoji.

Step-by-step explanation:

These are very important questions

The other endpoint V of the line segment is found by doubling the coordinates of the midpoint M and subtracting the coordinates of the known endpoint W. Applying this method, the coordinates of V are (10, 10).

In Mathematics, the midpoint formula allows us to find the midpoint coordinates of a line segment. Given that M(9, 8) is the midpoint and W(8, 6) is one endpoint, you can find the coordinates of the other endpoint V using the formula:
V = (2M - W).

So, simply double the coordinates of the midpoint and subtract the coordinates of the known endpoint. This determines the coordinates of the other endpoint. For the given question, we apply this to get:

Vx = 2*9 - 8 = 10,
Vy = 2*8 - 6 = 10.

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Answer:

The difference in volume is that the prism's volume is 3 times greater than the pyramid's volume.

Without seeing the graph, I can't tell what the slope is, but depending on the way the graph is drawn, the slope should be 1/3 or 3.

Answer:

The answer is 1/3

Complementary means they add to 90°

f=90-g

f=4g

4g =90-g

5g=90

g=18

f=4g=4(18)=72

Answer: f=72°, g=18°

Answer:

f(5) = 17

Step-by-step explanation:

f(x) = 3x+2

Let x =5

f(5) = 3(5) +2

f(5) = 15+2

f(5) = 17

Answer:

296 inches

Step-by-step explanation:

The perimeter is the sum of sides of a rectangle

As the length is in feet while the width is in inches, a unit conversion must take place

As 1  feet  equals to 12 inches

9 feet would be equal to 12*9=108 inches

The perimeter of a rectangle= 2(width)(length)

= 2(108)(40)

=296 inches

Answer:

B

Step-by-step explanation:

f(0) - f(-3) = area under f'(x) from x=0 to x=3.

We can find the area under f'(x) in this interval by finding the area of the triangle formed by the line.

A = 1/2 b h

A = 1/2 (3) (3)

A = 4.5

f(0) - f(-3) = 4.5

Since f(0) = 7:

7 - f(-3) = 4.5

f(-3) = 7 - 4.5

f(-3) = 2.5

Answer:

9 rows, each having 3 tomato plants, 5 bean plants, and 6 carrot plants.

Step-by-step explanation:

This requires the GCF, or the greatest common factor. This means that you need the largest whole number that divides evenly into each of the numbers (27, 45, and 54).

27, 45, and 54 can all be divided by 9 to get a whole number.

27/9=3

45/9=5

54/9=6

This means that in each row, there will be 3 tomato plants, 5 bean plants, and 6 carrot plants.

Kasey has $53.63 withheld from her weekly paycheck of $865 for Social Security, which is calculated by multiplying her weekly pay by the Social Security tax rate of 6.2%.

The question asks us to calculate how much is withheld from Kasey's paycheck for Social Security.

With a weekly pay of $865, we need to find 6.2% of that amount since that is the percentage deducted for Social Security taxes.

To find this amount, we multiply $865 by 0.062.

Calculation: $865 × 0.062 = $53.63

Therefore, $53.63 is withheld from Kasey's paycheck each week for Social Security.

Answer: [tex]\triangle{ZXY}\sim\triangle{QRS}[/tex]

Step-by-step explanation:

in the given picture , we have two triangles ΔXYZ and ΔRSQ, in which

[tex]\overline{XY}=14=4\times3.5=4\times\overline{RS}[/tex]

[tex]\overline{YZ}=16=4\times4=4\times\overline{SQ}[/tex]

[tex]\overline{ZX}=12=4\times3=4\times\overline{SR}[/tex]

i.e. [tex]\dfrac{XY}{RS}=\dfrac{YZ}{SQ}=\dfrac{ZX}{QR}=\dfrac{4}{1}[/tex]

By SSS-similarity postulate, we get

[tex]\triangle{ZXY}\sim\triangle{QRS}[/tex]

SSS-similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar

Answer:

-1,3,5,9,13

Step-by-step explanation:

2(-3)+5=-6+5=-1

2(-1)+5=-2+5=3

2(0)+5=0+5=5

2(2)+5=4+5=9

2(4)+5=8+5=13