What is the AREA of this figure?

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

[tex]Z=\frac{x-mean}{standard deviation}[/tex]

For the case given, the z score will be;

[tex]Z=\frac{34-16}{6}=3[/tex]

Simplifying

4x + -3y = 12

Solving

4x + -3y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.

4x + -3y + 3y = 12 + 3y

Combine like terms: -3y + 3y = 0

4x + 0 = 12 + 3y

4x = 12 + 3y

Divide each side by '4'.

x = 3 + 0.75y

Simplifying

x = 3 + 0.75y

Answer:

The correct option is B.

Step-by-step explanation:

If polar coordinates of point P are

[tex]P=(r,\theta)[/tex]

Where, r is real number and θ is in radian, then all polar coordinates of point P are defined as

[tex]P=(r,\theta+2n\pi)[/tex]

[tex]P=(-r,\theta+(2n+1)\pi)[/tex]

The given coordinates are [tex]P(5,-\frac{\pi}{6})[/tex]. So, all polar coordinates of point P are

[tex]P=(5,-\frac{\pi}{6}+2n\pi)[/tex]

[tex]P=(-5,-\frac{\pi}{6}+(2n+1)\pi)[/tex]

Therefore correct option is B.

Answer:

x =  ±sqrt(19)

Step-by-step explanation:

x^2-8=11

Add 8 to each side

x^2-8+8=11+8

x^2 = 19

Take the square root of each side

sqrt (x^2) = ±sqrt(19)

x =  ±sqrt(19)

Answer:

1.  x

2. 3x-6

Step-by-step explanation:

1) y=|x−3|+|x+2|−|x−5| , IF -2 < X < 3

|x−3| will be less than zero if -2 < X < 3   so rewrite it as 3-x

|x+2| will be greater than zero if -2 < X < 3  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

1. 3-x + x+2  - (5-x)

Combine like terms

5 - (5-x)

Distribute

5 - 5+x

x

1) y=|x−3|+|x+2|−|x−5| , IF 3 < X < 5

|x−3| will be greater than zero if 3 < X < 5   so leave it  as x-3

|x+2| will be greater than zero if 3 < X < 5  so we can leave it as x+2

|x−5| will be less than zero  if -2 < X < 3 so we rewrite it as 5-x

x-3 + x+2  - (5-x)

Combine like terms

2x-1 - (5-x)

Distribute

2x-1 - 5+x

3x-6

Answer:

2 19/72

Step-by-step explanation:

Overall without stating all the steps, it'd be 2.

(x-8) (x+8) is the answer

Answer:

Step-by-step explanation:

x - 5 = 7

⇒ x = 7 + 5 = 12

To solve for x, add 5 to both sides of the equation and then determine the absolute value of x.

To solve for x in the equation |x| – 5 = 7, we need to isolate x on the left side of the equation. To do this, we can add 5 to both sides:

|x| – 5 + 5 = 7 + 5

|x| = 12

Now, we have an absolute value equation. The absolute value of a number is its distance from zero. Therefore, we have two possible solutions: x = 12 or x = -12.

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Answer:

The Answer is 156

Step-by-step explanation:

A=(B1+B2)H/2

1) to find the area of a trapezoid you must First add the 2 bases

20+32= 52

2) Then Multiply the 2 bases sum by the Height

52 x 6 = 312

3) divide the product 312 By 2

312/2= 156

That is Your answer!

Hopes this helps!

For the area of a trapezoid use formula: Area = (BaseX+BaseY) times Height divided by 2.

so for this problem you’d plug in (20+32) times 6 then divide it by two.

20+32=52 times 6 equals 312

Divide by 2 and you get 156.

Area= 156

Answer:

The radius of the circle is 5 units

Step-by-step explanation:

Given in the question,

centered point = (-3 , 2)

a point in the circle = (1,5)

To find the radius of circle we will use the circle equation

(x – h)² + (y – k)² = r²,

with the centre being at the point (h, k) and the radius being r.

Plug values in the equation

(1 – (-3))² + (5 – 2)² = r²

(1+3)² + (3)² = r²

4² + 3² = r²

25 = r²

r = √25

r = 5

THE AREA OF A CIRCLE = πr^2

Here π = 3.142

r = 7.5

now A = πr^2

A = 3.142× 7.5×7.5

A = 176.7375cm^2

Hope it helped you.

Answer:

The area of shaded = 13.09 cm^2

Step-by-step explanation:

360 /6 = 60

So the shaded area is 1/6 of the circle

Area of circle = pie r^2

So area of shaded = 1/6(pie r^2)

= 1/6 * 3.142 * 5^2

= 13.09 cm^2

Answer:

Step-by-step explanation:

[tex]3w+8-w=4w-2(w-4)\qquad\text{use the distributive property}\\\\2w+8=4w-2w+8\\\\2w+8=2w+8\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\8=8\qquad\bold{TRUE}[/tex]

[tex]-3y+3=-3y-6\qquad\text{add}\ 3y\ \text{to both sides}\\\\3=-6\qquad\bold{FALSE}\\\\9-(2v+3)=-2v-6\\\\9-2v-3=-2v-6\qquad\text{add}\ 2v\ \text{to both sides}\\\\6=-6\qquad\bold{FALSE}\\\\7m-5=8m+7-m\\\\7m-5=7m+7\qquad\text{subtract}\ 7m\ \text{from both sides}\\\\-5=7\qquad\bold{FALSE}[/tex]

Answer:

0.343 L

Step-by-step explanation:

A liter has 1000 mL which is 1000 cm^3

The volume of the cube = s^3

s = 7

Volume = 7^3

V = 343 cc

The number of liters = 343 / 1000 = 0.343 L

The value of b is -6.

To find the value of b, we need to solve the quadratic equation b2 + 2b - 24 = 0.

Since b < 0, we can eliminate the positive solution.

We can factor the equation by finding two numbers whose product is -24 and sum is 2.

The numbers are -4 and 6.

So, the factored form of the equation is (b - 4)(b + 6) = 0.

Setting each factor equal to zero, we find that b = -6 or b = 4.

Since b < 0, the value of b is -6.

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Final answer:

Using the quadratic formula, we find that b = -6 (option A), considering the requirement that b < 0 for the equation b² + 2b - 24 = 0.

Explanation:

To find the value of b given the quadratic equation b² + 2b − 24 = 0 and knowing that b is less than zero, we can use the quadratic formula:

The quadratic formula is −b ± √(b² − 4ac /2a), where a, b, and c are coefficients from the quadratic equation in the form ax2 + bx + c = 0.

In this case, a = 1, b = 2, and c = −24. Applying these values to the quadratic formula, we have:

−(2) ± √((2)² − 4(1)(−24) /2(1))

The discriminant part of the formula, b² − 4ac, equals (2)² − 4(1)(−24) = 4 + 96 = 100. Therefore, the square root of the discriminant is 10.

Simplifying further, we have:

(−2 ± 10) / 2 = −6 or +8

Since b < 0, we disregard the positive solution and consider b = −6, which is option A.

Answer:

3^2 = 9

9+2 = 11

g(3)= 11

Step-by-step explanation:

ANSWER

[tex]g(3) = 11[/tex]

EXPLANATION

The given function is

[tex]g(x) = {x}^{2} + 2[/tex]

We substitute b x=3 into the function to obtain;

[tex]g(3) = {3}^{2} + 2[/tex]

Simplify;

[tex]g(3) = 9 + 2[/tex]

[tex]g(3) = 11[/tex]

Answer: First option

Step-by-step explanation:

You have the quadratic equation given in the problem:

[tex]m^2-13m-30[/tex]

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.

These numbers would be -15 and 2.

Therfore, you obtain the following equivalent expression:

[tex](m-15)(m+2)[/tex]

If you don't want to apply the method above, you can use the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac}}{2a}[/tex]

Where:

[tex]a=1\\b=-13\\c=-30[/tex]

When you susbstitute values you obtain that:

[tex]x=15\\x=-2[/tex]

Then you can rewrite the equation as [tex](m-15)(m+2)[/tex]

Answer:

[tex](m-15)(m+2)[/tex]

Step-by-step explanation:

The given expression is

[tex]m^2-13m-30[/tex]

Split the middle term

[tex]m^2-15m+2m-30[/tex]

Factor

[tex]m(m-15)+2(m-15)[/tex]

Factor further to obtain;

[tex](m-15)(m+2)[/tex]

The correct  answer is A.

Answer: (x + 1)(x + 5)

Step-by-step explanation:

Need to find two numbers whose product is the c-value (5) and whose sum is the b-value (6).

x² + 6x + 5

              ∧

            1 + 5 = 6    this works!

So the factors are:   (x + 1)(x + 5)

Answer:

See picture attached.

Step-by-step explanation:

To find the solution, graph each equation using the y = mx + b form.

Start by converting to this form.

x + 2y < 4 becomes y < -1/2x +2

3x - y > 2 becomes y < 3x - 2

Then mark each y-intercept. These points are (0,2) and (0,-2).

Using the slope mark the next points at (-1,4) and (1, -1) respectively.

Connect using dash lines since this is not equal to in either inequality.

Test a point no on either line like (-1,-1).

If the inequality holds true, shade the area.

Where the areas overlap is the solution. See picture.

Inequalities are used to represent unequal expressions.

The solution to the inequality is [tex]x \le \frac 87[/tex] and [tex]y < \frac{10}7[/tex]

The inequalities are given as:

[tex]x + 2y \le 4[/tex]

[tex]3x - y > 2[/tex]

Express both inequalities as equations'

[tex]x + 2y = 4[/tex]

[tex]3x -y = 2[/tex]

Make y the subject in [tex]3x -y = 2[/tex]

[tex]y = 3x - 2[/tex]

Substitute [tex]y = 3x - 2[/tex] in [tex]x + 2y \le 4[/tex]

[tex]x + 2(3x - 2) \le 4[/tex]

Open brackets

[tex]x + 6x - 4 \le 4[/tex]

[tex]7x - 4 \le 4[/tex]

Collect like terms

[tex]7x \le 4+4[/tex]

[tex]7x \le 8[/tex]

Divide both sides by 7

[tex]x \le \frac 87[/tex]

Substitute 8/7 for x in [tex]3x - y > 2[/tex]

[tex]3 \times \frac 87 - y > 2[/tex]

[tex]\frac{24}7 - y > 2[/tex]

Collect like terms

[tex]- y > 2 -\frac{24}7[/tex]

Take LCM

[tex]- y > \frac{14 -24}7[/tex]

[tex]- y > \frac{-10}7[/tex]

Divide both sides by -1

[tex]y < \frac{10}7[/tex]

Read more about inequalities at:

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Answer:

The answer is 2.333 yards

Step-by-step explanation:

In every one yard there's thirty-six inches.

84/36= 2.333

Hope this helps :)

To convert 84 inches to yards, first convert inches to feet by dividing by 12, resulting in 7 feet. Then, convert feet to yards by dividing by 3, resulting in approximately 2.33 yards.

To convert 84 inches to yards, we need to use the relationships between inches, feet, and yards.

Start by converting inches to feet, and then convert feet to yards.

1. Convert inches to feet:

There are 12 inches in a foot, so divide the number of inches by 12.
84 ÷ 12

= 7 feet

2. Convert feet to yards:

There are 3 feet in a yard, so divide the number of feet by 3.
7 ÷ 3

= 2.33 yards

Thus, 84 inches is equal to approximately 2.33 yards.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{6}[/tex]

⇒ [tex]\frac{3}{6}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{4}{6}[/tex]

⇒[tex]\frac{2}{3}[/tex]

Answer:

y=4

Step-by-step explanation:

2y+3=11

Subtract 3 from both sides: 2y=8

Divide both sides by 4: y=4

Answer:

Step-by-step explanation:

2y square root  plus 3 = 11

Answer:

$2.50

Step-by-step explanation:

Let's take a look at the 4 orders and check the price per pup cake in each order:

Order 1: $5 for 2 cakes, so $2.50 per cake.

Order 2: $7.50 for 3 cakes, so $2.50 per cake.

Order 3: $12.50 for 5 cakes, so $2.50 per cake.

Order 4: $20.00 for 8 cakes, so $2.50 per cake.

Jake has a very consistent pricing of his cakes... they're always $2.50 each.

That price is the relation between the price asked and the number of cakes sold, that's the constant of proportionality in this case.

Answer:

Option 3rd is correct

$2.5 is the constant of proportionality in cost per pup cake

Step-by-step explanation:

The direct proportionality states that:

[tex]y \propto x[/tex]

then the equation is in the form of :

[tex]y = kx[/tex]              ....[1]

where, k is the constant of proportionality.

As per the statement:

The table shows how much Jake charged for the last 4 orders of pup cakes.

Let y represents the cost  and x represents the pup-cakes

Consider any values of x and y from the given tables.

x = 3 and y = $7.5

To find constant of proportionality in cost per pup cake.

Substitute these in [1] we have;

[tex]7.5 = 3k[/tex]

Divide both sides by 3 we have;

2.5 = k

or

k = 2.5

Therefore, $2.5 is the constant of proportionality in cost per pup cake

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷The answer is 6 and -6.

Since absolute value is to figure the distance from 0, it is regardless of positive or negative.  

6, -6 are the only numbers.

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

Three times two equals six

Another factor of 6, besides 6 and 1, is 3. Factors are numbers that divide into another number without leaving any remainder. Both 2 and 3 are factors of 6 since 2 multiplied by 3 equals 6.

Besides 6 and 1, another factor of 6 is 3.

Factors are whole numbers that divide evenly into another number. For the number 6, the factors are 1, 2, 3, and 6. The process of factoring involves finding all numbers that you can multiply together to get the number in question. In this case, 2 multiplied by 3 equals 6.

We can also verify this by noting that dividing 6 by 3 gives us 2 with no remainder, confirming that 3 is indeed a factor of 6.

Answer:

The slope is .075 and the y intercept is -.125

Step-by-step explanation:

8y = .2(3x -5)

Distribute the .2

8y = .6x - 1

Divide by 8

8y/8 = .6x/8 -1/8

y = .075x -.125

This is in slope intercept form  y= mx+b  where m is the slope and b is the y intercept.

The slope is .075 and the y intercept is -.125

Answer:

153.94 square inches

Step-by-step explanation:

A = Pi(r)^2

A = Pi(7)^2

A = Pi(49)

A = 153.93804

Answer: 153.938 [tex]in^{2}[/tex]

Step-by-step explanation:

π = 3.14 and d = diameter

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

Answer:

I'd go with B because it's closest, not sure if some context is missing to get an exact answer....

Step-by-step explanation:

22000 falls in the 15% tax rate bracket

Tax=income•rate

Tax=22000•(15/100)

Tax=3300

Answer:

The answer is C

Step-by-step explanation:

pythagoras

a^2 = b^2 + c^2

a^2 = (8)^2 + (4)^2

a^2 = 64 + 16

a^2 = 80

[tex]a = \sqrt{80} [/tex]

Answer:

The length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.

Step-by-step explanation:

We are given the length (l) = 8, width (w) = 4 and height (h) = 2.

Now we have to find the diagonal of the base.

The given figure is a rectangle box. The base of the rectangular box is a rectangle with the length (l) = 8 and the width(w) = 4

The length of the diagonal (d) = [tex]\sqrt{l^2 + w^2}[/tex]

d = [tex]\sqrt{8^2 + 4^2}[/tex]

d = [tex]\sqrt{64 + 16}[/tex]

d = [tex]\sqrt{80}[/tex]

d = [tex]\sqrt{16} \sqrt{5}[/tex]

d = 4[tex]\sqrt{5}[/tex]

So, the length of the diagonal (d) = 4[tex]\sqrt{5}[/tex] units.