Evaluate the expression 4xy-(x+7) if x=-2 and y=5

I like big black oliy men

The food will last the other scouts for 8 days

At a scout's camp, the food will last 72 scouts for 6 days

The first step is to multiply both values(the number of scouts and the number of days spent in the camp)

= 72 × 6

= 432

The number of scouts at the camp can be calculated by subtracting the number of scouts present from the number of days the scouts spent at the camp

= 72-18

= 54

The amount of food left can be calculated as follows

= 432/54

= 8

Hence the food will last for 8 days

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The student's percentile will be 28.

Calculating percentiles is a common practise. The majority of the time, we can define percentile as a score below which a predetermined percentage of other scores fall. We might be able to tell when someone received a test score of 65 out of 90. But without knowing what percentile he belongs to, this number is meaningless. When a score is in the 90th percentile, it signifies that it is higher than the scores of 90% of test-takers.

Given : Student's rank = 144 out of 200

So, there are 56 (200-144) students whose rank is below that student.

We know that, percentile

= no. of ranks below that rank / total no. of ranks * 100

So, his percentile = 56/200 * 100

                             = 28 percentile.

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Answer:

Step-by-step explanation:

Let's assume that the normal air pressure in the Florida Keys before the hurricane is represented by the variable 'p'. The inequality that could be used to find 'p' based on the given information is:

p - 121 > n

This inequality states that the difference between the normal air pressure 'p' and the air pressure during the hurricane ('n') is greater than 121 millibars. By rearranging this inequality, we can solve for 'p':

p > n + 121

Therefore, the normal air pressure in the Florida Keys before the hurricane was greater than the air pressure during the hurricane plus 121 millibars.

To find the equation of the perpendicular bisector of PQ, we need to first find the midpoint of PQ, and then determine the slope of the line perpendicular to PQ that passes through this midpoint.

The midpoint of PQ is given by the formula:

((x1 + x2) / 2, (y1 + y2) / 2)

where (x1, y1) = (5, -4) and (x2, y2) = (-1, -2)

So, the midpoint of PQ is:

((5 - 1) / 2, (-4 - 2) / 2) = (2, -3)

Now, the slope of the line PQ can be found using the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) = (5, -4) and (x2, y2) = (-1, -2)

So, the slope of PQ is:

(-2 - (-4)) / (-1 - 5) = 2/3

Since the perpendicular bisector of PQ will have a slope that is the negative reciprocal of the slope of PQ, the slope of the perpendicular bisector is:

-1 / (2/3) = -3/2

Finally, we can use the point-slope form of the equation of a line to find the equation of the perpendicular bisector. We know that the line passes through the point (2, -3), and has a slope of -3/2. So, the equation of the line is:

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

Simplifying this equation, we get:

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

y = (-3/2)x + 0

Hence, the equation of the perpendicular bisector of PQ is y = (-3/2)x.

The ordered pair that would make the function true is option 4 (-1, -4).

As the name implies, an ordered pair is a set of items where the order in which they are placed is of particular significance. In coordinate geometry, ordered pairs are typically used to represent a point on a coordinate plane. They may also be used to depict aspects of a relationship.

The given equation of the graph is y = -0.25x - 2.

Substituting the coordinates in the options we have:

For (0, - 3):

y = -0.25x - 2

- 3 = -0.25(0) - 2

- 3 = -2 False.

For (4, 3)

y = -0.25x - 2

3 = -0.25(4) - 2

3 = -3 False

For (8, 4):

y = -0.25x - 2

4 = -0.25(8) - 2

4 = - 4

False.

For (-4, -1)

-1 = -0.25(-4) - 2

- 1 = -1

True.

Hence, the ordered pair that would make the function true is option 4 (-1, -4)

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Answer:

$6981

Step-by-step explanation:

If you put $6981 in a deposit and your interest rate is 8.5% monthly it will give you $2,019.62 which then means your total will be $9,000.62

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The function P(t) = 3.5(0.91)^t is an exponential decay and the percentage rate of change is 9%.

option B.

The function P(t) = 3.5(0.91)^t is an exponential decay function because the base, 0.91, is between 0 and 1.

To find the percentage rate of change, we need to find the value of r in the exponential function;

P(t) = P(0) (1 + r)^t or

P(t) = P(0) e^(rt)

where;

In this case, the initial value is 3.5, and the function is P(t) = 3.5 (0.91)^t. Comparing this to the form P(t) = P(0) e^(rt),

we see that P(0) = 3.5 and r = ln(0.91) ≈ -0.094.

Therefore, the percentage rate of change is -9.4%, which means that the value decreases by about 9.4% with each unit of time.

So the correct answer is option B: Exponential decay; 9%.

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The complete question is below:

-Determine whether the function below is exponential growth or exponential decay, and find the percentage rate of

change.

P(t) = 3.5 (0.91)^t

A) Exponential decay; 3.5%

B) Exponential decay; 9%

C) Exponential growth; 9%

D) Exponential growth; 3.5%

Answer:

The first step is to calculate the daily interest rate. We can do this by dividing the annual percentage rate (APR) by 365 (the number of days in a year):

Daily interest rate = 15% / 365 = 0.00041096

Next, we need to calculate the interest that accrues on the outstanding balance for the first month. Since there are 30 days in a typical month, we can multiply the daily interest rate by the outstanding balance and the number of days in the month:

Interest for first month = 0.00041096 × $400 × 30 = $4.93

This means that the outstanding balance after the first payment will be:

$400 + $4.93 - $75 = $329.93

So the balance after the first payment will be $329.93.

Answer:

15 ft

Step-by-step explanation:

Use the Pythagorean theorem.

9² + 12² = c²

c² = 225

c = √225 = 15

Answer: 15 ft

Answer:

15 feet

Step-by-step explanation:
So, to start we have to find the area of the wall.
9(12)=108
Now, we need to find half of the walls area
108/2=54

We have our length and height, but we need to find the hypotenuse using Pythagoreans theorem.
9 is our A and 12 is our B
a^2+b^2=c^2
81+144=c^2
c^2=225
The square root of 225 is 15.
C=15

Therefore, the stripe will be 15 feet.

The value of the function g(x + a) - g(x) is a(-2x - a + 5).

To find the value of function g(x + a) - g(x), we first need to substitute g(x + a) and g(x) into the expression and simplify:

g(x + a) - g(x) = [- (x + a)^2 + 5(x + a)] - [-x^2 + 5x]

= [-x^2 - 2ax - a^2 + 5x + 5a] - [-x^2 + 5x]

= -x^2 - 2ax - a^2 + 5x + 5a + x^2 - 5x

= -2ax - a^2 + 5a

= a(-2x - a + 5)

Therefore, the value of g(x + a) - g(x) is a(-2x - a + 5).

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The equation that represents the graph will be x = (1/12) y². Then the correct option is A.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The equation of the upward parabola is written as,

y = 4ax²

The equation of the downward parabola is written as,

y = - 4ax²

The equation of the rightward parabola is written as,

x = 4ay²

The equation of the leftward parabola is written as,

x = - 4ay²

From the graph, the parabola opens rightward, then the equation is written as,

x = (1/12) y²

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Answer:

I speak english so this might be wrong...

Step-by-step explanation:

Build the distribution table

of frequencies and histogram of the height (in cm) of 80 third-secondary students.

(Construir la tabla de distribución

de frecuencias e histograma de la altura (en cm) de 80 estudiantes de tercero medio.)

I think this is what you sayed?

For the following:

a) To determine the range of the heights, find the difference between the highest and lowest values.

Range = Highest value - Lowest value

The highest value is 188 cm, and the lowest value is 162 cm.

Range = 188 - 162 = 26 cm

b) The amplitude is the interval width of each class in the frequency table. To determine the amplitude, Know the number of classes. Assume to create 10 classes for the height data.

Amplitude = Range / Number of classes

Amplitude = 26 cm / 10 = 2.6 cm

c) To build the frequency table, to create the class intervals for the height data. Since the amplitude is 2.6 cm, choose the class intervals accordingly.

Set up the frequency table with 10 classes:

Class Intervals: (160 - 162.6], (162.6 - 165.2], (165.2 - 167.8], ..., (185 - 187.6], (187.6 - 190]

Next, count the number of data points falling into each class interval and calculate the absolute frequency (frequency), cumulative frequency, relative frequency, and percentage relative frequency.

The frequency table for the height data is attached.

In the frequency table, the "Cumulative Frequency" column shows the running total of frequencies, the "Relative Frequency" column shows the proportion of each class frequency to the total number of data points (80), and the "Percentage Relative Frequency" column shows the relative frequency expressed as a percentage.

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Answer:

Step-by-step explanation:

We are given that T is the midpoint of LM, J is the midpoint of MO, and P is the midpoint of LO. This means that LT = TM, JO = OM, and LP = PO.

We can use this information to find the lengths of the sides of triangle LMO. Since T is the midpoint of LM, we have LT = TM = 9. Similarly, since J is the midpoint of MO, we have JO = OM = 12. Finally, since P is the midpoint of LO, we have LP = PO = (LO)/2 = 32/2 = 16.

Now, we can use the Pythagorean theorem to find the length of the third side, LM:

LM^2 = LT^2 + TM^2

LM^2 = 9^2 + 16^2

LM^2 = 337

LM = sqrt(337)

Therefore, the perimeter of triangle LMO is:

LM + MO + LO = sqrt(337) + 2(12) + 32

Perimeter = sqrt(337) + 56

To find the perimeter of triangle TJP, we need to find the lengths of the sides TJ, JP, and TP. Since T and J are midpoints of their respective sides, we know that TJ = 2(LT) = 18 and JP = 2(JO) = 24. To find TP, we can use the Pythagorean theorem:

TP^2 = TJ^2 + JP^2

TP^2 = 18^2 + 24^2

TP^2 = 900

TP = 30

Therefore, the perimeter of triangle TJP is:

TJ + JP + TP = 18 + 24 + 30

Perimeter = 72

Therefore, the perimeter of triangle TJP is 72.

Answer:

To find the area of the shaded segment of the circle, we need to first find the area of the sector formed by the 60 degrees angle, and then subtract the area of the triangle formed by the radii and the chord.

The formula for the area of a sector of a circle is:

A_sector = (θ/360) x πr^2

where θ is the central angle in degrees, and r is the radius.

Substituting the given values, we get:

A_sector = (60/360) x π x 18^2

A_sector = 113.04 cm^2

Next, we need to find the area of the triangle formed by the radii and the chord. To do this, we need to first find the length of the chord using the formula:

c = 2r sin(θ/2)

where θ is the central angle in radians.

Converting the given 60 degrees angle to radians, we get:

θ = 60 x (π/180) = π/3 radians

Substituting the values, we get:

c = 2 x 18 x sin(π/6)

c = 18√3 cm

Now, we can find the area of the triangle using the formula:

A_triangle = (1/2) x base x height

where the base is the chord length c, and the height is half the length of the chord, which is:

h = r - r cos(θ/2)

Substituting the values, we get:

h = 18 - 18 cos(π/6)

h = 18 - 9√3 cm

Therefore, the area of the triangle is:

A_triangle = (1/2) x 18√3 x (18 - 9√3)

A_triangle = 243 cm^2

Finally, the area of the shaded segment is the difference between the area of the sector and the area of the triangle:

A_shaded = A_sector - A_triangle

A_shaded = 113.04 - 243

A_shaded = -129.96

However, the result is negative because the triangle is larger than the sector in this case. Therefore, there is no shaded area in this situation.

Step-by-step explanation:

Answer:

7n + 14

Step-by-step explanation:

Multiply the number outside the parentheses by each quantity in the parentheses.

7(n + 2) = 7 × n + 7 × 2 = 7n + 14

Answer:

Step-by-step explanation:

distribute the 7 to the n.

then distribute the 7 to the 2.

=7n+14

A linear equation in the form p = mn + b that gives the price they can charge for n shirts is p = -0.003x + 22.

In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

At data point (1000, 19), a linear function in standard form for this line can be calculated by using the point-slope form as follows:

y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

y - 19 = (16 - 19)/(2000 - 1000)(x - 1,000)

y - 19 = -0.003(x - 1,000)

y = -0.003x + 3 + 19

p = y = -0.003x + 22

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Answer:

Step-by-step explanation:

2

Answer:

E

Step-by-step explanation:

For Company A, the monthly cost y in dollars can be represented by:

y = 0.12x + 20

where x is the number of minutes used.

For Company B, the monthly cost y in dollars can be represented by:

y = 0.06x + 50

where x is the number of minutes used.

To find the number of minutes of calls where the monthly bills will be the same, we need to set the two equations equal to each other and solve for x:

0.12x + 20 = 0.06x + 50

0.06x = 30

x = 500

Therefore, the monthly bills will be the same for both companies when the number of minutes used is 500.

Answer: (E) 500 minutes

If Jenny has 50 square tiles and arranges them in a rectangular array with 4 rows, then she would have a total of 48 tiles, with 2 tiles left over.

If Jenny arranges the tiles in a rectangular array with 4 rows, this means each row will have 50/4 = 12.5 tiles. However, since we cannot have half a tile, we need to round down to the nearest whole number, which is 12.

Therefore, each row will have 12 tiles, and the total number of tiles used will be 4 x 12 = 48. To find out how many tiles are left over, we need to subtract the total number of tiles used from the original number of tiles: 50 - 48 = 2. So, there will be 2 tiles left over.

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Let me solve it down for you :)

The shape is a cuboid, so its dimensions will be:

[tex] \sf \: Surface \: area \: of \: cuboid = 2(lb + bh + hl)[/tex]

[tex] \sf \: S.A. = 2(12 \times 5 + 5 \times 10 + 12 \times 10)[/tex]

[tex] \sf \: S.A. = 2(60+ 50 + 120)[/tex]

[tex] \sf \: S.A. = 2(230)[/tex]

[tex] \sf \: S.A. = 460 \: {m}^{2} [/tex]

Dimensions of the cuboid:

[tex] \sf \: Volume = l \times b \times h[/tex]

[tex] \sf \: Volume = 12\times 5 \times 10[/tex]

[tex] \sf \: Volume = 600 \: {m}^{3} [/tex]

Convert m to cm, according to the question:

600 Cubic meter =

600,000,000 Cubic Centimeters

Answer:

good morning!

Step-by-step explanation:

the answer to your question is 4(7x^2+5)

hope you have a great day!

The values of the unknown in the figures are a = 40, b = 32 and c = 275

Figure (a)

A quadrilateral has a total angle measure of 360 degrees.

So, we have

90 - a + 92 + 128 + 90 = 360

Evaluate the like terms

-a = 360 - 400

So, we have

a = 40

Figure (b)

The total measure of angles on a line is 180 degrees.

So, we have the following

4b - 10 + 2b - 2 = 180

Evaluate the like terms

6b = 192

So, we have

b = 32

Figure (c)

The total measure of angles at a point is 360 degrees

So, we have the following

c + 19 + (94 - 28) = 360

Evaluate the like terms

c = 275

Hence, the value of c is 275 degrees

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Answer:

z=89

Step-by-step explanation:

42+z=131

take 42 away from both sides

z= 89

Answer:

z = 89

Step-by-step explanation:

42 + z = 131

z = 131 - 42

z = 89

Answer:

Step-by-step explanation:

Let's first find the number of 12-year-olds and 13-year-olds in the band:

Let x be the number of 12-year-olds.

Then the number of 13-year-olds is 1.25x (125% of x).

The total number of students in the band is 100, so we know that x + 1.25x = 0.9(100).

Solving for x, we get x = 40, so there are 40 12-year-olds and 50 (1.25x) 13-year-olds.

The number of 14-year-olds is the remainder after we count the 12 and 13-year-olds:

The total number of students in the band is 100, and we know that 90% of them are 12 or 13 years old, so 10% are 14 years old.

10% of 100 is 10, so there are 10 14-year-olds.

Now we can find the portion of the band for each age group:

12-year olds: fraction = 40/100 = 2/5, percent = 40%

13-year olds: fraction = 50/100 = 1/2, percent = 50%

14-year olds: fraction = 10/100 = 1/10, percent = 10%

Answer:

Step-by-step explanation:

the volume of a cylinder is found with the formula V=[tex]\pi r^{2} h[/tex] where r is the radius and h is the height of the cylinder

plugging the numbers given into the formula results in 32791.5 [tex]cm^{3}[/tex]

The solutions to the system are -1 and 3.

What is system of equations?

equations simultaneously, or a system of equations Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. Even then, a solution may not be assured.

Given : y = x + 5  ... equation 1

           y = x² – x + 2 ...equation 2

Putting  y=x+5 in equation 2

We get, x+5 =  x² – x + 2

             x² - x - x +2 -5 = 0

             x² -2x - 3 = 0

It can written be solved as :

                x² -2x - 3 = 0

                x² -3x +x - 3 = 0

                x ( x-3) + 1(x-3) = 0

                (x+1) (x-3) = 0

So, x = -1 and 3.

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Answer:

Refer to photo above ......alright