The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length and width of the wall of the barn.

the circled is named for the letter in the center

 so this one is named circle C

The function f(x) = −2x3 − x2 + 3x + 1 is represented by the graph with 3 real zeros, down on the left and up on the right, due to the negative leading coefficient and odd degree.

The function you're looking at is f(x) = −2x3 − x2 + 3x + 1. To determine the correct graph, we consider the leading term, −2x3. Since the coefficient of the highest-degree term (which is -2) is negative, the graph will start down on the left and go up on the right. The degree of the function is the highest power of x, which is 3, a odd number. For polynomials, if the degree is odd and the leading coefficient is negative, the end behavior will be down on the left and up on the right. Therefore, the correct graph will have the description: Graph with 3 real zeros, down on the left, up on the right.

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The probability of two people owning a dog when 66% of people own dogs is found by squaring the probability (0.66), giving us a result of 0.4356 or 43.56%.

The question asks to calculate the probability that both people picked at random own a dog when it is known that 66% of people own dogs. To find this probability, we can simply multiply the probability of the first person owning a dog by the probability of the second person owning a dog, assuming that these events are independent.

The probability that one person owns a dog is given as 66%, which is 0.66 in decimal form. Thus, the probability that both people own a dog is 0.66 × 0.66 (or 0.66 squared). Calculation yields:

0.66 × 0.66 = 0.4356

Therefore, the probability that both people own a dog is 0.4356, or 43.56%.

Answer:

5 cubic units.    

Step-by-step explanation:

We have been given that a can soda can has a volume of 15 cubic units and a diameter of 2.

First of all let us find the height of cylinder using volume of cylinder formula.

[tex]\text{Volume of cylinder}=\pi r^2 h[/tex], where,

r = radius of cylinder,

h = Height of cylinder.

Now let us divide our diameter by 2 to get the radius of cylinder.

[tex]\text{radius of cylinder}=\frac{2}{2}=1[/tex]

Let us substitute our given values in volume of cylinder formula to get the height of cylinder.

[tex]15=\pi*1^2*h[/tex]

[tex]15=\pi*h[/tex]

[tex]\frac{15}{\pi}=\frac{\pi*h}{\pi}[/tex]

[tex]\frac{15}{\pi}=h[/tex]

Now we will use volume of cone formula to find the volume of our given cone inscribed inside cylinder.

[tex]\text{Volume of cone}=\frac{1}{3}\pi*r^2h[/tex]

Since the height and radius of the largest cone that can fit inside the can will be equal to height and radius of can, so we will substitute [tex]\frac{15}{\pi}=h[/tex] and [tex]r=1[/tex] in the volume formula of cone.

[tex]\text{Volume of cone}=\frac{1}{3}\pi*1^2*\frac{15}{\pi}[/tex]

[tex]\text{Volume of cone}=\frac{1}{3}*1*15[/tex]

[tex]\text{Volume of cone}=5[/tex]

Therefore, volume of our given cone will be 5 cubic units.

7/16 =9.8/ x =156.8/7 = 22.4 feet long

7/16 = 5/x = 80/7 = 11.428 feet wide round to 11.43 or 11.4 feet

Answer:

1.

Given the recursive formula:

[tex]a_3 = -11[/tex] and

[tex]a_n = 2a_{n-1} -1[/tex]

For n = 3:

[tex]a_3=2a_2 -1[/tex]

Substitute [tex]a_3 = -11[/tex] we have;

[tex]-11=2a_2 -1[/tex]

Add 1 to both sides we have;

[tex]-10 = 2a_2[/tex]

Divide both sides by 2 we have;

[tex]-5 = a_2[/tex]

or

[tex]a_2 = -5[/tex]

For n = 4, we have;

[tex]a_4=2a_3 -1[/tex]

Substitute [tex]a_3 = -11[/tex] we have;

[tex]a_4 = 2 \cdot -11 -1 = -22-1 = -23[/tex]

⇒[tex]a_4 = -23[/tex]

2.

Given:

[tex]a_4 = -36[/tex] and [tex]a_n = 2a_{n-1} -4[/tex]

For n = 4, we have;

[tex]a_4=2a_3 -4[/tex]

Substitute [tex]a_4 = -36[/tex] we have;

[tex]-36 = 2a_3 -4[/tex]

Add 4 to both sides we have;

[tex]-32 = 2a_3[/tex]

Divide both sides by 2 we have;

⇒[tex]a_3 =-16[/tex]

For n = 3:

[tex]a_3=2a_2 -4[/tex]

Substitute [tex]a_3 = -16[/tex] we have;

[tex]-16=2a_2 -4[/tex]

Add 4 to both sides we have;

[tex]-12 = 2a_2[/tex]

Divide both sides by 2 we have;

[tex]-6 =a_2[/tex]

or

⇒[tex]a_2 = -6[/tex]

The indicated terms of the sequence defined by each of the following recursive formulas are as follows:

A recursive formula is one that describes each term in a series in terms of the term before it. The general term for an arithmetic sequence by using a recursive formula is [tex]\mathbf{a_n = a_{n-1} + d}[/tex]

From the given information:

Now, when n = 3

[tex]\mathbf{a_3 = -2a_{3-1} -1}[/tex]

[tex]\mathbf{-11= -2a_{2} -1}[/tex]

[tex]\mathbf{2a_{2} = -10}[/tex]

[tex]\mathbf{a_{2} = -5}[/tex]

When n = 4

[tex]\mathbf{a_4= -2a_{4-1} -1}[/tex]

[tex]\mathbf{a_4 = 2(-11) -1}[/tex]

[tex]\mathbf{a_4 = -23}[/tex]

Second Part:

When n = 4

[tex]\mathbf{a_4 = 2_{a4-1}-4}[/tex]

[tex]\mathbf{a_4= 2_{a3}-4}[/tex]

[tex]\mathbf{-36+4= 2_{a_3}}[/tex]

[tex]\mathbf{2_{a_3}=-32}[/tex]

[tex]\mathbf{{a_3}=-16}[/tex]

When n = 3

[tex]\mathbf{a_3= 2_{a3-1}-4}[/tex]

[tex]\mathbf{a_3= 2_{a2}-4}[/tex]

[tex]\mathbf{-16= 2_{a_2}-4}[/tex]

[tex]\mathbf{2_{a_2}=-12}[/tex]

[tex]\mathbf{{a_2}=-6}[/tex]

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Answer:

(A)

Step-by-step explanation:

From the figure, since RT is parallel to QU, therefore ΔSQU is similar to ΔSRT, thus using the basic proportionality theorem, we get

[tex]\frac{SR}{SQ}=\frac{ST}{SU}[/tex]

[tex]\frac{c}{12+c}=\frac{10}{25}[/tex]

[tex]25c=120+10c[/tex]

[tex]15c=120[/tex]

[tex]c=8[/tex]

Also, QU is parallel to PV, therefore from ΔPVS and ΔSRT, we have

[tex]\frac{SR}{SP}=\frac{ST}{SV}[/tex]

[tex]\frac{c}{c+12+d}=\frac{10}{30}[/tex]

[tex]\frac{8}{20+d}=\frac{1}{3}[/tex]

[tex]24=20+d[/tex]

[tex]d=4[/tex]

Now, from ΔSRT and SQU, we have

[tex]\frac{RT}{QU}=\frac{ST}{SU}[/tex]

[tex]b=\frac{10{\times}12.5}{25}[/tex]

[tex]b=5[/tex]

Also, from ΔSQU and SPV,

[tex]\frac{12.5}{a}=\frac{25}{30}[/tex]

[tex]a=15[/tex]

Thus, value of a,b,c and d are 15,5,8 and 4 respectively.

Answer:

240

Step-by-step explanation:

Hope this helps! :)

Answer:

Plato/Edementum

Step-by-step explanation:

this is the correct answer if you are taking Inverse of a Function: Mastery Test just type in 7x+63 type it in like that and it will be correct

There are 20, 50 and 30 in each room respectively.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, there are 110 students in total in all the class.

According to question,

a+b+c = 110

After the room changes, we have

a/2 + c/3 = a

4b/5 + a/2 = b

2c/3 + b/5 = c

or,

a/2 = c/3

a/2 = b/5

b/5 = c/3 = a/2

so, substituting in,

a + 5a/2 + 3a/2 = 110

2a + 5a + 3a = 220

a = 22

b = 55

c = 35

Hence, there are 20, 50 and 30 in each room respectively.

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now find new Z

 Z = 18X
Z = 18(12)
Z = 216

In geometry, when line s is perpendicular to line t, statements a, c, and g are true: Lines s and t have slopes that are opposite reciprocals, the product of the slopes of s and t equal -1, and the intersection of s and t forms a right angle.

In geometry, if line s is perpendicular to line t, several facts about these two lines can be stated:

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The solution for the inequality  8x - 5 ≥ 27 can be written as x [4, ∞) or x ≥ 4, so option A is correct.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

8x - 5 ≥ 27

Solve the above inequality as shown below,

Add 5 to both sides of an inequality,

8x - 5 + 5 ≥ 27 + 5

8x ≥ 32

Divide both sides by 8,

8x / 8  ≥ 32 / 8

x ≥ 4

x [4, ∞)

Thus, x can be any real number greater than 4 or equal to four.

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