What is the area of this triangle ?

Answer:

i dont know what the problem is

Step-by-step explanation:

Answer:

Step-by-step explanation:

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

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Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

x=11.34

Step-by-step explanation:

Answer:

<1 and <2

Step-by-step explanation:

Adjacent means angles that are next to each other.  This is not the only pair, but <1 and <2  are adjacent.

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

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Answer: 0.070

Step-by-step explanation:

The question is asking you to estimate how many students completed the English 101 course.

1. Round 99 and 71 to 100 and 70

2. I am not completely sure but I believe the answer is 0.070?

3. Hope it helps! :)

Answer:A. Dilation with a scale factor of 3.

Step-by-step explanation:

Dilation is to change the size, specifically of becoming wider, so it the only choice that fits.

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

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In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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As per the concept of covariance, the correlation between the scores of students from the two parts of the quiz is 9.6

What is meant by covariance and correlation?

In math, the covariance is a measure of the linear relationship between two random variables where as the correlation is used to measure the linear relationship between two random variables if it is zero then variables are said to be uncorrelated and if one then perfectly correlated.

Here we have given that, instructor has given a short quiz consisting of two parts and the  accompanying table shows the number of students who obtained the indicated points for X (rows) and Y (column).

And we need to find the the correlation between the scores of students from the two parts of the quiz.

Let us consider X refers the number of points earned on the first part and Y refers the number of points earned on the second part.

=> E(max(a, x)) = ∑ₐ∑ₓ y max(x, y)p(x, y)

And then when we apply the values on it, then we get,

=> max(0, 0)p(0, 0)+max(0, 5)p(0, 5)+· · ·+max(10, 10)p(10, 10)+max(10, 15)p(10, 15)

When we simplify this one, then we get,

=> 0 ∗ 0.02 + 5 ∗ 0.06 + · · · + 10 ∗ 0.14 + 15 ∗ 0.01 = 9.6.

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Answer:

C. The solution t = 5 is the only valid solution to this system since time cannot be negative.

Step-by-step explanation:

Given

\(h(t) = -16t^2 + 48t + 210\)

\(h(t) = 50\)

Required

Determine which of the options is true

After solving

\(h(t) = -16t^2 + 48t + 210\)

for

\(h(t) = 50\)

We have that

\(t = -2\) and \(t = 5\)

Because time can't be negative, we have to eliminate \(t = -2\)

So, we're left with

\(t = 5\)

Because of this singular reason, we can conclude that option c answers the question

Answer:

first thing, take 3 pairs of equations and in each pair, make any one variable's coefficient equal to the coefficient of the same variable in the other equation and subtract the equations.

you will get 3 different equations:  

x+y = 1

- 4x - 21z = 72

-x + 3z = -10 (simplified)

now take the value of x and y from equation 2 and 3 in terms of z and substitute x and y with those values

y = (72 + 21z)/-4

x = 3z + 10

as x + y = 1

you will get z = -4 after sloving the equation

now you have the value of one of the variables..

now we will substitute z in the equations to get the other variables

x = 3z + 10

x = 3(-4) + 10

x = -12 + 10

x = -2  

Now y:

72+21(-4)/-4

(72 - 84)/-4

-12/-4

y  = 3

so,

z = -4

x = -3

y = 3

I assume that it's brainly enough

Answer:

x= -2, z= -4

Step-by-step explanation:

-3x-2y+4z = -16

10x+10y-5z=30 ⇒ 2x+2y-z=6 ⇒ 14x+14y-7z=42

5x+7y+8z=-21 ⇒ 10x+14y+16z= -42

Add up the first one with the second:

-3x-2y+4z = -16

+

2x+2y-z=6

-------

-x+3z= -10 ⇒ x= 3z+10

Subtract the last one from the second:

14x+14y-7z=42

-

10x+14y+16z= -42

------------

Replace x with 3z+10

Answer:

Maria is 15

Step-by-step explanation:

J = 2M-3

J+M = 24 substitute for J:

2M-3+M = 24 regroup

2M+M-3 = 24

3M = 27

M = 9

and Joe = 2M-3 = 2(9)-3 = 18-3 = 15

Answer:

Exponential decay is represented by the equation:

y = a * e^(-bx)

where:

y is the final value

a is the initial value

b is the decay rate

x is the time variable

The exponential decay rate, b, can be found by taking the natural logarithm (ln) of both sides of the equation, then rearranging to isolate the decay rate:

ln(y/a) = -bx

b = -ln(y/a)/x

So, to find the exponential decay rate, you would need to know the initial value (a), the final value (y), and the time elapsed (x). Then, you can use the formula above to calculate the decay rate, b.

The expressions "1+b" and "1-b" are not sufficient to find the exponential decay rate, as they do not contain enough information about the specific scenario or data set.

if this helps, can you please mark my answer brainliest?

They donate:

then, 500 - 50 = 450 sprouts are left.

They sell:

then, 450 - 90 = 360 sprouts are left.

They plant in the greenhouse:

then, 360 - 18 = 342 sprouts are left.

The members plant 342 sprouts outside

Answer:

so the answer is 6x°which is equals to 120°

Step-by-step explanation:

2x°+6x°+x°=180(The sum of the interior angle of the triangle is 180°)

9x°=180°

9x°÷9=180°÷9

x=20°

2x°is equals to 2×20°=40°

6x° is equals to 6×20°=120°

x° is equals to x×20°=20°

The slope-intercept equation of a linear function f whose graph satisfies the given condition is y = 5.

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

y - y₁ = m(x - x₁)

Where:

Since the line is perpendicular to x = 6, which is a vertical line, the other line must be horizontal with a slope of zero (0). Therefore, the required equation is given by:

y - y₁ = m(x - x₁)

y - 5 = 0(x - (-5))

y - 5 = 0(x + 5)

y - 5 = 0

y = 5.

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Answer:

2430

Step-by-step explanation:

The revenue is the amount of money generated by an organization from sales or services made in a specific time. The conclusion from the computation made are:

Given that:

\(R = (p - 1)(200 - 40p)\)

To calculate the break even, we set R to 0.

So, we have:

\((p - 1)(200 - 40p) =0\)

Split

\(p - 1 = 0\) or \(200 - 40p = 0\)

Solve for p

\(p = 1\) or \(40p = 200\)

Divide by 40 in the second equation

\(p=1\) or \(p =5\)

The break even price is at $1 and $5

To maximize his revenue, we have:

\(R = (p - 1)(200 - 40p)\)

Open bracket

\(R = 200p - 200 - 40p^2 + 40p\)

Rewrite as:

\(R = - 40p^2+ 200p + 40p- 200\)

\(R = - 40p^2+ 240p- 200\)

Differentiate

\(R' = -80p + 240\)

Equate to 0 and solve for p

\(-80p + 240=0\)

\(-80p =- 240\)

Divide by -80

\(p = 3\)

To maximize his revenue, he as to charge $3

The most money he can make is calculated as:

\(R = (p - 1)(200 - 40p)\)

Substitute \(p = 3\)

\(R = (3 - 1)(200 - 40 \times 3)\)

\(R = (3 - 1)(200 - 120)\)

\(R = 160\)

The most money he can make is $160

The charges he sold when he made $100 is:

\(R = - 40p^2+ 240p- 200\)

Substitute 100 for R

\(- 40p^2+ 240p- 200=100\)

Collect like terms

\(- 40p^2+ 240p- 200-100=0\)

\(- 40p^2+ 240p- 300=0\)

Divide through by -20

\(2p^2- 12p+ 15=0\)

Using quadratic formula, the solution of p is:

\(p = \frac{-b \± \sqrt{b^2 - 4ac} }{2a}\)

So, we have:

\(p = \frac{-(-12) \± \sqrt{(-12)^2 - 4\times 2 \times 15} }{2 \times 2}\)

\(p = \frac{12 \± \sqrt{24} }{4}\)

\(p = \frac{12 \± 4.90 }{4}\)

Split

\(p = \frac{12 + 4.90 }{4}\ or p = \frac{12 - 4.90 }{4}\)

\(p = \frac{16.90 }{4}\ or\ p = \frac{7.1 }{4}\)

\(p = 4.225\ or\ p = 1.775\)

He charged $4.225 or $1.775 to make $100.

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The correct answer is:

a = 43%

b = 88%

To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.

From the Venn diagram, we can gather the following information:

The circle labeled "satellite" has a value of 55.

The circle labeled "cable" has a value of 75.

The overlap between the two circles is labeled as 12.

Using this information, we can complete the table:

First column - "Satellite":

Entries: Satellite, Not satellite, Total

Total: 55 (as given in the Venn diagram)

Second column - "Cable":

Entries: Blank, 51%, Blank

To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).

Cable: 75 - 12 = 63

Therefore, the entry becomes: Blank, 51%, Blank

Third column - "Not Cable":

Entries: a, b, Blank

To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).

a: 55 - 12 = 43

To find the value for "b," we subtract the overlap (12) from the total number of households (100).

b: 100 - 12 = 88

Therefore, the entries become: 43, 88, Blank

Fourth column - "Total":

Entries: Blank, Blank, 100%

The total number of households is given as 100% (as stated in the question).

Therefore, the values of a and b in the relative frequency table are:

a = 43% (rounded to the nearest percent)

b = 88% (rounded to the nearest percent)

Hence, the correct answer is:

a = 43%

b = 88%

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The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

(-8, 10)

Step-by-step explanation:

9x + 7y = -2

9(-8) + 7y = -2

-72 + 7y = -2

7y = 70

y = 10

Answer:

4.2 mph

Explanation:

First, recall the formula below:

Let the number of hours for which they walked = t

Starting from the pretzel stand, Jazmine leaves walking due East toward Foot Locker at 3 mph.

James 3 minutes later leaves walking due North toward Dillard's at 3 miles per hour.

The diagram below illustrates the given information:

Using the Pythagorean theorem, we have that:

At t=12 minutes = 12/60 = 0.2 hours

The distance, x between the two after 12 minutes is 0.75 miles.

Next, take the derivative of the equation:

At t=0.2 hours, x=0.75 miles

The rate at which the distance between them is changing 12 minutes after is 4.2 miles per hour.

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Multiply both sides of the equation by 4.

Swap the sides so that all variable terms are on the left side.

Add 32 to both sides.

Add 48 and 32 to get 80.

Divide both sides by −5.

Divide 80 by −5 to get −16.

Answer:

6.4 laps

Step-by-step explanation:

Answer:

r = 3

Step-by-step explanation:

distribute 3 through the parentheses

1/2r - 3= 12 - 9/2r

multiply both sides of the equation by 2

r - 6 = 24 - 9r

move the variable to the left-hand side and change its sign

r - 6 + 9r = 24

move the constant to the right-hand side and change its sign

r + 9r = 24 + 6

collect like terms

10r = 24 + 6

add the numbers

10r = 30

divide both sides of the equation by 10

r = 3

and you’re done

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

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