Find the area of the trapezoid.

A) 18 cm2

B) 22.5 cm2

C) 27 cm2

D) 45 cm2

Answer:

[tex]\frac{-2x-12}{x^2-16}[/tex]

Step-by-step explanation:

We want to find the difference;

[tex]\frac{x}{x^2-16}-\frac{3}{x-4}[/tex]

The first denominator can be rewritten as;

[tex]x^2-16=(x+4)(x-4)[/tex]

Therefore the least common denominator is [tex]x^2-16[/tex]

We collect LCD to obtain;

[tex]\frac{x-3(x+4)}{x^2-16}[/tex]

Expand the parenthesis to obtain;

[tex]\frac{x-3x-12}{x^2-16}[/tex]

[tex]\frac{-2x-12}{x^2-16}[/tex]

Answer:

b

Step-by-step explanation:

For this case we must raise an inequality.

We have "d" dollars initially and they are spent 12. Then:

[tex]d-12[/tex]

At least 51 dollars remain, then, the sign of inequality is greater or equal in favor of the expression[tex]d-12[/tex], that is:

[tex]d-12\geq 51[/tex]

Resolving:

[tex]d\geq 51 + 12\\d\geq 63[/tex]

There are at least 63 dollars left in the account.

Answer:

[tex]d-12\geq 51\\d\geq 63[/tex]

Answer:

Step-by-step explanation:

The cosine of angle Ф is √(1 - sin²Ф), which is positive if our angle 81 degrees is in Quadrant I.

sin 81° = 0.9877, so (sin 81°)² = 0.9755, and

cos 81° = 1 - 0.9755 = 0.0245

To find the cosine of 81 degrees in terms of sine, we use the identity cos(Ф) = sin(90° - Ф), giving us cos(81°) = sin(9°).

To find the cosine of 81 degrees in terms of sine, we use the trigonometric identity that relates sine and cosine for complementary angles. The cosine of 81 degrees is the same as the sine of 9 degrees, because 81 and 9 add up to 90 degrees. The trigonometric identity is cos(Ф) = sin(90° - Ф).

Using this identity:

cos(81°) = sin(90° - 81°)

= sin(9°).

Therefore, the cosine of 81 degrees is equal to the sine of 9 degrees.

Answer:

[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]

Step-by-step explanation:

The given expression is

[tex](2^3)(2^{-4})[/tex]

This is the  same as;

[tex]2^3\times2^{-4}[/tex]

Recall that;

[tex]a^m\times a^n=a^{m+n}[/tex]

This implies that;

[tex]2^3\times2^{-4}=2^{3+-4}[/tex]

[tex]2^3\times2^{-4}=2^{-1}[/tex]

We now use the following law of exponents

[tex]a^{-m}=\frac{1}{a^m}[/tex]

This gives us;

[tex]2^3\times2^{-4}=\frac{1}{2}[/tex]

Answer:

B. Add the two equations.

Step-by-step explanation:

Lets solve our system of equations step-by-step

Step 1. Add the two equations

2x – 2y = 5 +

5x + 2y = 9

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

7x         = 14

Step 2. Solve for x in the resulting equation

7x = 14

[tex]x=\frac{14}{7}[/tex]

x = 2

Step 3. Replace the value of x in any of the original equations

2x – 2y = 5

2(2) – 2y = 5

4 – 2y = 5

-2y = 5 - 4

-2y = 1

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

We can conclude that the correct answer is: B. Add the two equations.

Answer:

If the number of miles is 6

Step-by-step explanation:

Since they vary with different rates ($/mile in our case), such equality can only be true for a specific amount of miles.  Less miles and the left part ($2.50...) would be higher, more miles and the right part ($1.00...) would be higher because it grows faster.

So, that's the number of miles for which the equation is true?

2.50 + 0.50m = 1.00 + 0.75m

Let's regroup similar terms:

1.50 = 0.25m

the isolate m

m = 6

So, if the ride covers 6 miles, the equation is true:

2.5 + 0.5 (6) = 1.00 + 0.75 (6)

2.5 + 3 = 1 + 4.50

5.5 = 5.5

Answer:

One cab charges an initial fee of $2.50 and then $0.50 for every mile. The other cab company charges an initial fee of $1.00 and then $0.75 for every mile.

Step-by-step explanation:

For this case we have that by definition, the total surface area of a right prism is given by:[tex]SA = ph + 2B[/tex]

Where:

p: Perimeter of the base

h: It's the height

B: It is the area of the base

So:

[tex]B = 6 * 2\\B = 12 \ cm ^ 2\\p = 6 + 6 + 2 + 2 = 16 \ cm[/tex]

So, we have:

[tex]SA = 16 * 5 + 2 (12)\\SA = 80 + 24\\SA = 104 \ cm ^ 2[/tex]

Answer:[tex]104 \ cm ^ 2[/tex]

Answer

how many sides are there to the spinner?

Step-by-step explanation:

i need to knowhow many there are in order to give you a probibility

Answer:

- 1

Step-by-step explanation:

To evaluate substitute p = - 2 into f(p)

f(- 2) = (- 2)² + 3(- 2) + 1 = 4 - 6 + 1 = - 1

The answer should be -1

If the length of the rectangle is 6 and the perimeter is 54, multiply the length by 6 and subtract the answer from 54. Then, divide the answer by 2 to get the width.

So, I will use your formula for this as it is correct:

2l+2w=54

2(6)+2w=54

12+2w=54

2w=42

42/2=21

w=21

Therefore, your length is 21. Hope this helps!

The width of the rectangle is 21cm

                 =21 cm answer.

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Answer:

[tex]35\ days[/tex]

Step-by-step explanation:

step 1

Find the area of the trapezoid (brownie pan)

[tex]A=\frac{1}{2}(29+41)20=700\ cm^{2}[/tex]

step 2

To find the number of days , divide the area of the brownie pan by 20 square centimeters of brownie

[tex]\frac{700}{20}=35\ days[/tex]

The side across angle 18 is the opposite side. The perpendicular angle that touches the same line is adjacent. To figure out the length of JL, we need to use the measurement 34.6 mm (hypotenuse). So in this equation we will use hypotenuse to find opposite. Hypotenuse and opposite result in Sin on the calculator. So on the calculator, you would find the Sin of 18 and then multiply that number by 34.6. The answer would then be 10.7 (rounded).

Answer: 10.7 mm (rounded)

Answer:

JL ≈ 10.7 mm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin18° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{JL}{34.6}[/tex]

Multiply both sides by 34.6

34.6 × sin18° = JL, hence

JL ≈ 10.7 ( to 1 dec. place )

[tex]\boxed{x^2=4py}[/tex]

A parabola is the set of all points that lies on a plane and are equidistant from  a fixed line called the directrix and a fixed point called focus, that doesn't lies on the line. If the  vertex is at the origin and the directrix crosses the negative part of the y-axis, then the equation takes the following forms:

[tex]\boxed{x^2=4py}[/tex]

Where the focus lies on the axis [tex]p \units[/tex] (directed distance) from the vertex.

The representation of this problem is shown below. As you can see, the vertex lies on the origin while the directrix crosses the negative part of the y-axis.

Answer:

The actually answer is x(2) = 4y

Answer:

X1 = 2 X= -[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

You must pass the 3 a to the other side in negative and use the quadratic formula

Answer:

Step-by-step explanation:

[tex]X1 = 2 X= -\frac{5}{3}[/tex]

The income tax bracket fall into 28%.

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Answer: x=54

Step-by-step explanation:

When you add up all of the sides that have to equal 360 degrees. so, the first thing that you would do is 72+72. You would do that because there are actually 2 72 in the rhombus. That equals 144. then you would do 360-144. That equals 216. Then you would do 216/4. You would do 216/4 because there are actually 4 x in the rhombus. After you divide 216/4 it equals 54. to check your work you would do 54+54+54+54+72+72. That equals 360. So the value of x = 54 degrees.

can you just measure r and times that by 72

We want to find a fraction a/b such that

[tex]\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}[/tex]

This is true if and only if

[tex]\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}[/tex]

We can choose a value for a only if the two extremes include at least one integer, i.e. if

[tex]\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1[/tex]

Solving for b, we have [tex]b>35[/tex]

So, the smallest fraction is given for [tex]b=36[/tex]. We have

[tex]\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}[/tex]

Solving for a, we have a=30.

The fraction 30/36 can be simplified to 5/6. So, we have

[tex]\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}[/tex]

and this is the smallest possible denominator.

We want to find a fraction a/b such that

\dfrac{9}{11}\leq\dfrac{a}{b}\leq\dfrac{11}{13}

11

9

≤

b

a

≤

13

11

This is true if and only if

\dfrac{9b}{11}\leq a \leq\dfrac{11b}{13}

11

9b

≤a≤

13

11b

We can choose a value for a only if the two extremes include at least one integer, i.e. if

\dfrac{11b}{13}-\dfrac{9b}{11}\geq 1

13

11b

−

11

9b

≥1

Solving for b, we have b>35b>35

So, the smallest fraction is given for b=36b=36 . We have

\dfrac{9}{11}\leq \dfrac{a}{36} \leq \dfrac{11}{13}

11

9

≤

36

a

≤

13

11

Solving for a, we have a=30.

The fraction 30/36 can be simplified to 5/6. So, we have

\dfrac{9}{11}\leq \dfrac{5}{6} \leq \dfrac{11}{13}

11

9

≤

6

5

≤

13

11

and this is the smallest possible denominator.

Answer: George McClellan did

Step-by-step explanation:

Answer:

D McClellan

Step-by-step explanation:

In 1862, president Abraham Lincoln decided to relieve General George McClellan of his command after the Battle of Antietam. The reason is McClellan was unable to concentrate his forces effectively, so the Confederate army shifted his defenders to block each of three Union thrusts. Besides, he was unable to employ his large reserved forces to ensure success.

Answer:x=8,y=1

Step-by-step explanation:

2x+4y=20

So, 4y=20-2x

So,2y=10-x

Now we can use this information to use in the second equation

3x+2y=26

3x+(10-x)=26

2x+10=26

2x=16

x=8

Now that we know that x=8, then we can solve for y.

2x+4y=20

2(8) +4y=20

16+4y=20

4y=4

y=1

Here is the process of how I did it:

Step 1:     Make this equation : 2x+4y = 20 equal x by isolating x and bring everything else on the right side of the equation

2x + (4y-4y) = 20 - 4y

2x = 20 - 4y

[tex]\frac{2x}{2}  = \frac{20 - 4y}{2}[/tex]

x = 10 - 2y

Step 2: In the other equation given (3x+2y=26​) every time you see an x replace it with the equation solved above (x = 10 - 2y). This will help you find the y

3x+2y=26​ ---> 3(10 - 2y)+2y=26​

10(3) - 2y(3) + 2y = 26

30 - 6y + 2y = 26

(30-30) - 4y = (26 - 30)

[tex]\frac{-4y}{-4} =\frac{-4}{-4}[/tex]

y = 1

Step 3: In the equation you found in step 1 (x = 10 - 2y) plug 1 into all the y's so you can find x

x = 10 - 2y ---> x = 10 - 2(1)

x = 10 - 2

x = 8

Hope this helped!

We are to find the time it takes a flare to reach 36 feet. After rearranging the given equation and solving for the time 't', we find that the time is approximately 0.867 seconds. However, this value is not listed in the provided options. The closest given answer choice is 0.75 seconds.

The given equation for the height of a flare is: h = -16 + 60t where 'h' stands for height and 't' stands for time. First, we need to solve the equation for 't', as we're looking to find the time it takes for the flare to reach 36 feet.

So, the equation becomes: 36 = -16 + 60t.

We add 16 to both sides of the equation to isolate the term with 't': 52 = 60t.

Then, we divide both sides of the equation by 60. We now have: t = 52/60. Solving it returns t = 0.867 seconds.

However, this value is not listed in the given answer choices. Among the choices, the closest is 0.75 seconds, or option A. Hence, 0.75 seconds is likely the approximate value considered correct for this problem.

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The only trinomial among the four expressions is x^6 −x+ √6 .

A trinomial is an algebraic expression with three terms, each containing a power of the variable raised to a non-negative integer and multiplied by a coefficient.

Let's analyze each expression:

x^3 + x^2 - √x: This has three terms (x^3, x^2, and -√x), but √x contains a fractional exponent, which is not allowed in a polynomial (and therefore, a trinomial). So, it's not a trinomial.

2x^3 - x^2: This has two terms (2x^3 and -x^2), not three. Therefore, it's not a trinomial.

4x^3 + x^2 - 1/x: This has three terms (4x^3, x^2, and -1/x), but 1/x is equivalent to x^-1, which is a negative exponent.

Similarly to option 1, this violates the non-negative integer exponent requirement for polynomials. So, it's not a trinomial.

x^6 - x + √6: This has three terms (x^6, -x, and √6). Note that √6 does not contain a variable and can be considered a constant, satisfying the polynomial and trinomial requirements. Therefore, this is a trinomial.

In, the only trinomial among the given options is: 4. x^6 - x + √6 .

The trinomial expression is C. [tex]\(4x^3 + x^2 - \frac{1}{x}\).[/tex]

A trinomial is an algebraic expression consisting of three terms. Let's examine each option:

a. [tex]\(x^3 + x^2 - \sqrt{x}\)[/tex] - This is a polynomial expression, but it only has two terms, so it's not a trinomial.

b. [tex]\(2x^3 - x^2\)[/tex] - This expression has two terms, so it's not a trinomial.

c. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex] - This expression has three terms, so it is a trinomial.

d. [tex]\(x^6 - x + \sqrt{6}\)[/tex] - This expression also has only three terms, so it is a trinomial.

So, the correct answer is:

C. [tex]\(4x^3 + x^2 - \frac{1}{x}\)[/tex]

Complete Question:
Which algebraic expression is a trinomial?

a. [tex]$x^3+x^2-\sqrt{x}$[/tex]

b. [tex]$2 x^3-x^2$[/tex]

c. [tex]$4 x^3+x^2-\frac{1}{x}$[/tex]

d. [tex]$x^6-x+\sqrt{6}$[/tex]

Answer:

23

Step-by-step explanation:

the absolute value of -23 is 23 (distance from 0)

The answer is the first one, 41.

The value of a21 is 41

a21 = (7*5) + (2*3)

a21 = 35 + 6

a21 = 41

Hence the value of a21 is 41

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Answer:

G > 2

Step-by-step explanation:

Answer:

6+2g >10

6-6+2g>10-6

2g>4

divide by 2

2g/2> 4/2

g>2

Answer is g>2

Answer:

the answer is C

Step-by-step explanation

type 2.08^5 and then times it to 14.08

Hello there! The answer is C.

So the equation is y = 14.08 ⋅ 2.08^x, where x stands for the number of years. You are finding the number of fish after five years, so place five in for x and solve.

y = 14.08 ⋅ 2.08^5 - Start by finding 2.08 to the 5th power. (I rounded off some decimal points since it was too long.)

y = 14.08 x 38.9329 - Next: multiply your two numbers.

y = 548.175232, or C since it is the closest whole number.

Answer:

1800

Step-by-step explanation:

850*4=1800

Answer:

212.5 lb

Step-by-step explanation:

850 students × 4oz/student = 3400 oz

There are 16 ounces in a pound, so:

3400 oz × (1 lb / 16 oz) = 212.5 lb

Answer:

B. 0

Step-by-step explanation:

Anything multiplied by 0 is 0

ANSWER

B Zero

EXPLANATION

The product of any number and zero is still zero.

It doesn't matter how huge or small the number is.

It doesn't also matter whether the number is negative or positive.

Even the product of zero and itself is still zero.

Therefore:

[tex] - 11.4 \times 0 = 0[/tex]

The correct choice is B

the answer is 40% hope this helps

Answer:

Aproximately 40% is the correct option)))

.18/.48= .375x 100= 37.5%

Answer:

C:  f(x) = (x - 13)(x + 11)

Step-by-step explanation:

Please use " ^ " to indicate exponentiation:  y = x^2 – 2x – 143.

x^2 – 2x – 143 factors into (x - 13)(x + 11).  Note that -13x + 11x = -2x, which matches the middle term of the given function.

Thus, the zeros are {-11, 13}

Answer C is correct:  f(x) = (x - 13)(x + 11).

In factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given function,
y = x² – 2x – 143

y = x² -13x + 11x - 143
y = (x - 13)(x + 11)

Let,
y = 0
(x - 13)(x  + 11) = 0
Now,
zeros is given as,
x = 13 and x = -11

Thus, in factored form, the function is y = (x – 13)(x + 11), so the zeros of the function are x = 13 and x = –11. Option C is correct.

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