**Answer:**

**24342.**

**Step-by-step explanation:**

(1 +152 + 5)² + 12 ÷ 2

= 156^2 + 12 / 2

= 24336 + 6

= 24342.

Consider parallelogram EFGH below.

WORTH 50 POINTS!!

As a result, in the **parallelogram** before, x = 4, **Angle** E = 104 degrees, and Angle EFH = 32 degrees.

1. Opposing sides are** congruent sides. ..**.

2. Opposing angles are **congruent angles**. ...

3. Interior angles that follow one another on the same side are **supplementary. ...**

4.Each of a parallelogram's diagonals divides it into two congruent triangles. ...

5. The diagonals of a parallelogram split in half.

As a result,

EH and FG's sides are **parallel** and **equal**.

so 3x=12

x=4

to determine **Angle** E

FGH Triangle

Angles FHG + HFG + G add up to 180.

(The total of a triangle's angles is 180)

FHG angle=180-44+104

=32

Angles EFH = FHG (alternate interior angles)

=32

Angle HFG = Angle EHF (alternate interior angles)

=44

Angle E=Angle HGF( opposite angles are equal in a parallelogram)

=104

Therefore the value of x in the given** quadrilateral** is 4 , the angle E is 104 degree and the value of Angle EFH is 32 degree.

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Given the function f, evaluate f(-3), f(-2), f(-1), and f(0)

After **evaluating **for the **function **f, the value of f(-3) = -12, f(-2) = -2, f(-1) = 4, f(0) = −10

A **function **is a specific type of relationship that maps inputs to precisely one output. Consider a **function **as a machine for useful insight. The domain of the **function**, which describes the types of input that the machine will accept, states that it will produce one and only one output for each input.

A **function's **fundamental notation is of the form f( x), where x is the input variable and f is the **function's **name. "F of X" should be read as this. Any time you see this notation, f(x) generally refers to a **function's **output, though these letters are subject to change.

We have given the **function **f, to evaluate f(-3), f(-2), f(-1), and f(0)

[tex]f(x)= \begin{cases}-2 x^2+6 & \text { if } x \leq-1 \\ 7 x-10 & \text { if } x > -1\end{cases}[/tex]

f(-3) = -2x² + 6 (as x < -1)

⇒ -2(-3)² + 6

⇒ -12

f(-2) = -2x² + 6 (as x < -1)

⇒ -2(-2)² + 6

⇒ -2

f(-1) = -2x² + 6 (as x < -1)

⇒ -2(-1)² + 6

⇒ 4

f(0) = 7x - 10 (as x > -1)

⇒ 7(0) - 10

⇒ −10

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Given 4.05(−15.6), find the product.

−63.18

−11.55

6.32

561.11

**Answer:-63.18**

**Step-by-step explanation:**

3x-4+3x-8 linear pairs of angles.

**Answer:**

**Step-by-step explanation:**

*- 36*

Graph the function f(x) = 16(1.87)x. Does this function show growth or decay? What is the equation of the asymptote?

Growth; y = −16

Growth; y = 0

Decay; y = −16

Decay; y = 0

What is **Asymptote?**

The term asymptote means **approaching a value or curve arbitrary closely. **A line or curve that is asymptotic to given curve is called asymptotic.

Given,

The **function** f(x) = 16(1.87)x

Now, We know that

If the value of b < 1, it is a **decay** while if the value of b > 1, then it is **growth**. Given the exponential equation below;

f(x) = 16(1.87)x

Since, b = 1.87 which is **greater** than 1, hence it is a **growth**. Find the graph attached.

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Answer: -16

Step-by-step explanation:

What is the surface area of the cylinder with height 3 m and radius 8 m?

Round your answer to the nearest thousandth.

**Answer:**

3x8x2xπ ≈ 150.796m²

**Step-by-step explanation:**

when unfolded the cylinder is a rectangle of area equal to:

HxW ; H=height W=width

W is equal to the primer of the circle and the formula for that is:

2xπxr

substituting you get the area of a cylinder as follows:

Hxrx2xπ

I need help its confusing because of the domain and dont know how how put it in to the question

**Answer:**

its all real numbers i took the quiz before

**Step-by-step explanation:**

What’s the answers to these

**Evaluating **the **algebraic expressions **for the values given, we have:

a. -7

b. -10.

How to Evaluate an Algebraic Expression?To **evaluate** and **algebraic expression**, plug in the value of the variable given and solve accordingly.

a. Given the **algebraic expression**, xy + 5.

If x = 2, and y = -6, then substitute x = 2 and y = -6 to **evaluate **the **algebraic expression**:

xy + 5

(2)(-6) + 5 [substitution]

= -12 + 5

= -7

b. Given the **algebraic expression**, x/y - 12, if x = 22 and y = 11, then substitute x = 22 and y = 11 into the expression and **evaluate**:

x/y - 12

22/11 - 12 [substitution]

= 2 - 12

= -10.

Thus, the values of the **expressions** when evaluated for the given **variables** are:

a. -7

b. -10.

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Choose the correct slope for the line that passes through the following points (7,6) and (6,5)

**Answer: **m = 1

**Step-by-step explanation**

**First, you must fill in the slope formula:**

(7,6) first ordered pair

(6,5) second ordered pair

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

m = [tex]\frac{6-5}{7-6}[/tex] = [tex]\frac{1}{1}[/tex]

**The slope is 1.**

if 2x²- (b-4)x -4(b+2)=0 has equal Roots, find the possible values of b

IF THE EQUATION HAS EQUAL ROOTS IT MEANS

[tex] {b}^{2} - 4ac = 0[/tex]

THAT IS THE RULE.

WHERE **b** is the coefficient of x

a si the coefficient of

[tex] {x}^{2} [/tex]

and c is the constant number.

IF QE CHECK IN THE GIVEN EQUATION WE WILL FIND THAT a=2

b= -(b-4)

c= -4(b+2)

[tex]( - (b - 4))^{2} - 4(2)( - 4(b + 2)) = 0 \\ (4 - b ) ^{2} - 8( - 4b - 8) = 0 \\ (4 - b )(4 -b ) + 32b + 64 = 0 \\ 16 - 4b - 4b + {b }^{2} + 32b + 64 = 0 \\ {b }^{2} + 24b + 80 = 0 \\ (b + 20)(b + 4) = 0 \\ b + 20 = 0 \\ \\ \\ orb \\ \\ b + 4 = 0 \\ b = -2 0 \\ \\ \\ or \\ b = - 4[/tex]

ATTACHED IS THE SOLUTION

Debnil has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3 : 1.

How many tablespoons of salt does Debnil have?

The **number** of **tablespoons** Debnil has is 2 **tablespoons**

**Number** of **teaspoons** of salt with **Debnil** = 6

Ratio = 3:1

**Ratio**: mathematicians use the term "**ratio**" to **compare** two or more numbers. It serves as a **comparison** tool to show how **big** or **tiny** an **amount** is in **relation** to another. Two quantities are compared using **division** in a **ratio**. In this case, the **dividend** is referred to as the "**antecedent**" and the **divisor** as the "**consequent**."

Let **x** represent the **total** number of **teaspoons** and the **tablespoons**

Therefore,

6 = 3/4x

x = (6*4)/3

x = 8

So, there are a **total** of 8 **spoons**

Now, the **number** of **tablespoons** is 1/4 of the total

Hence, the **number** of **tablespoons** will be 2

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Evaluate g(x) = 3x when x= -2,0, and 5.

**Answer:**

**Step-by-step explanation:**

g(x)=3x

g(-2)=3(-2)=-6

g(0)=3(0)=0

g(5)=3(5)=15

Ricardo is a network administrator for a

large law firm. His annual salary is

$43,450. What is his monthly salary?

**Answer: 8690**

**Step-by-step explanation:**

Divide $43450 by the number of months there are in a year (which is 12) and you get the answer

2 hats, one has 5 red balls and 5 green balls, and the other has 9 red balls and 3 green balls. the probability you drew a green ball, given it was from the second hat?

The **probability **that we drew a green ball from the second hat is 1/4.

So, the second hat contains 9 red balls and 3 green balls.

P(E) = favourable events / total eventsHere, favourable event is 3 (green balls) and total events is (9 + 3 = 12)Now,

P(E) = favourable events / total eventsP(E) = 3/12P(E) = 1/4Therefore, the **probability **that we drew a green ball from the second hat is 1/4.

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Please answer the question in the photo ( will mark brainliest if correct )

**Answer:**

**Step-by-step explanation:**

5u = 180° - ( 120° + 30°) = 180° - 150° = 30°

u = 30° / 5 = 6°

Caroline walks 9 1/2 inches per second. Give each rate in miles per hour. Round to the nearest tenth.

I got 32,400ft/hour. I divided that by 5,280ft because that’s 1 mile and I got 6.47. Rounded and got 6.5. The answer is .5 but I don’t understand how they got it.

9.5 or **9 1/2 inches per second** in **miles per hour** is 0.5 .**What is conversion of units?**

The process of translating measurements of a given quantity between different **units**, frequently using multiplicative** conversion factors **that change the value of the measured quantity without changing its effects, is known as **unit conversion**. The **specific circumstances** and the desired result dictate the **conversion process**. This may be** governed **by a regulation, contract, set of **technical requirements**, or other publicly available standards.**What is the conversion factor for inch to mile?**

A value in inch when **divided** by 63360 gives a value in mile.**What is the conversion factor for second to hour?**

A value in second when **divided** by 3600 gives a value in hour.

Given, the speed of Caroline in inches per second = 9 1/2 = 9.5/1 - (i)

Therefore following above literature and **dividing numerator by 63360 **and **denominator by 3600**, we get the speed in **miles per second**.

Thus, required speed = [9.5/63360]/[1/3600) = 0.539 = 0.5

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in a 7 game series played with two teams, the first team to win a total of 4 games is the winner. suppose that each game played is independently won by team a with probability p

Each game played is **independently** won by team A with **probability **p, then team A will surely win the first game.

Given that one team leads 3 to 0, this would mean that in 3 trials, team A won all three games.

The **probability **of winning 3 out of 3 for team A is

P(A) = P3

The probability of winning 3 out of 3 for team B is

P(B) = (1-P)3

It is given that one of these two** scenarios** is the case, then the probability it is team A is:

P3/ (P3 + (1-P)3)

The probability that team A would win 0 of the next 4 games is

(1-P)4,

this means the probability that team A wins the series if they are up 3 to 0 is

1 - ( 1 - P ) 4

Similarly, if team A is to win every game, it is surely that they will win the first game.

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helppppppppppppppppp

**Answer:**

B.) cylinder

**Step-by-step explanation:**

2 circles on either side and a rectangle between them

Find the angles of this shape

**Answer:**

x = 100° , y = 75° , z = 135°

**Step-by-step explanation:**

x and 80° are a linear pair and sum to 180° , that is

x + 80° = 180° ( subtract 80° from both sides )

x = 100°

y and 105° are a linear pair and sum to 180° , then

y + 105° = 180° ( subtract 105° from both sides )

y = 75°

the sum of the interior angles of a polygon is

sum = 180° ( n - 2 ) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the interior angles and equate to 540°

z + x + 90° + 110° + 105° = 540°

z + 100° + 90° + 110° + 105° = 540°

z + 405° = 540° ( subtract 405° from both sides )

z = 135°

compare these two integers.

**Answer:**

-4.1 < -√20

**Step-by-step explanation:**

-√20 = -4.472135954 (-4.47)

-4.4 < -4.47 (-√20)

Simplify 6.6 ÷ 0.12

Answer:5

Expand 0.6/0.12

by multiplying both numerator and the denominator by 100.

60/12

Divide 60 by 12 to get 5.

5

**Answer:**

55

**Step-by-step explanation:**

6.6/12 = 55

The explicit rule for a sequence and one of the specific terms is given. Find the position of the given term.

f(n)=(2n-2)+2;52

The **position **of the given term is mathematically given as

n = 24

This is further explained below.

What is theA **function **that goes from one set to another gives each element of the first set precisely one element of the second set.

This particular set, X, is referred to as the **function's **domain, and this particular set, Y, is referred to as the function's codomain.

Generally, the equation for **Function** the is mathematically given as

f(n) = 2.5 n - 16

Considering that the total is 52, we need to locate the letter "n." (position). Now let's get the answer for "n":

52=(2n-2)+2

52=2n-2+2

52 = 2n-4

n = (52-4)/2

n = 24

In conclusion, the **position **of the given term.

n = 24

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2. two brands of canned dog food are on sale. assume that the cans are the same size. brand a costs $13.60 for eight cans and brand b costs $8.75 for fi ve cans. explain how to fi nd the unit price for brands a and b. explain how unit prices help you compare the cost of dog food.

**Answer:**

**Brand a price is less than Brand b.**

**Step-by-step explanation:**

given-

two brands of canned dog food are on sale. assume that the cans are the same size. brand a costs $13.60 for eight cans and brand b costs $8.75 for five cans

first-brand a costs $13.60 for eight cans

second- brand b costs $8.75 for five cans

solve first

for 8 cans-->$13.60

then,1 can -->$13.60/8

=>$1.7

in similar manner we solve for second

for 5 cans-->$8.75

then,1 can -->$8.75/5

=>$1.75

Brand a price is less than Brand b.

Unit pricing helps consumers compare the prices of packaged goods when those goods aren't sold in equal quantities. It's unit pricing that allows, for example, a shopper to tell at a glance which is the better buy: a 20-pound bag of dog food that sells for $13.95 or a 15-pound bag that sells for $10.69.

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please help asap. due monday

[tex]$\frac{4x^2+4x}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2x^2-2} =[/tex]

[tex]$\frac{4x\left(x+1\right)}{2\left(x+1\right)\left(x-1\right)} =[/tex]

[tex]$\frac{4x}{2\left(x-1\right)}=[/tex]

[tex]$\frac{2\cdot \:2x}{2\left(x-1\right)} = \frac{2x}{x-1}[/tex]

**Answer:**

**4**

**Answer and Explanation: Two to the second power is 4. We write two to the second power as follows: 22.\**

4 to the power of 2 can be expressed as 42 = 4 × 4 = 16.

16, 8, 4, 2...

Generalize the pattern by finding the nth term, beginning with n = 1.

The generalize term of the** pattern** is aₙ = 16 (1 / 2)ⁿ⁻¹

The **pattern** follows a geometric** sequence**.

The **pattern** follows a geometric progression.

Therefore, using geometric **sequence** formula,

where

n = number of termsr = common ratio of theHence,

a = 16

The common ratio is the amount between each number in a geometric **sequence**. In other words, it is the ratio between two consecutive numbers in the** sequence**

r = 8 / 16 = 4 / 8 = 2 / 4 = 1 / 2

The generalize **pattern** of the **sequence** is as follows:

aₙ = 16 (1 / 2)ⁿ⁻¹

Hence,

aₙ = 16 (1 / 2)ⁿ⁻¹

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The depth of a local lake averages 26 ft, which is represented as |−26|. In February, it measured 5 ft deep, or |−5|, and in July, it was 18 ft deep, or |−18|. What is the difference between the depths in February and July? ( I need help I'm running out of time!!!)

21 feet

23 feet

8 feet

13 feet

The **difference between the depths** in February and July is the fourth option that is 13 feet |−13|.

Given that:-

**Average of a depth** of a local lake = 26 ft represented as |−26|.

Depth of a local lake in February = 5 ft represented as |−5|.

Depth of a local lake in July = 18 ft represented as |−18|.

We have to find the difference between the depths in February and July.

We know that,

**Difference ** between the depths in February and July = Depth in July - Depth in February = 18 - 5 = 13 feet represented as |−13|.

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Which expression is equivalent to (16z - 10) + (2x + 19)? A- 23x B- 18x + 29 C- 14x + 9 D 13x

nswer

**Option C is correct**

14x + 9

Explanation

e need to simplify the sexpression

16x - 10) + (-2x + 19)

= 16x - 10 - 2x + 19

ollect like terms by bringing terms with **x **together

= 16x - 2x - 10 + 19

= 14x + 9

Hope this Helps!!!

a company with 200 employees grew in size by 25% between 2005 and 2010. the company grew again by 10% between 2010 and 2015. what was the total number of employees in 2015?

The total **number** of **employees** in the **company** in the year 2015 is 275 employees

**Number** of employees in the company **before** increase = 200 employees

**Percentage** increase in employees between 2005 and 2010 = 25%

**Percentage**: A percentage is a **ratio** or **fraction** where the full **value** is always 100. Sam, for instance, would have **received** 30 out of a **possible** 100 points if he had **received** 30% on his **arithmetic** test.

So, the **number** of employees **after** the **increase** = 200+25%of 200

= 200+50 = 250

Percentage **increase** in employees **between** 2010 and 2015 = 10%

Number of **employees** after **increase** = 250 + 10% of 250

= 250 + 25 = 275 employees

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The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?

Month

1$1375.27

2$953.86

3 $1047.79

The **average **balance in the bank account is $1,125.64.

So, the average balance of the account will be:

Average formula: A = sum of terms/Number of termsFill in the values and solve as follows:

A = sum of terms/Number of termsA = 1375.27 + 953.86 + 1047.79/3A = 1375.27 + 953.86 + 1047.79/3A = 3,376.92/3A = $1,125.64Therefore, the **average **balance in the bank account is $1,125.64.

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NEED HELP ASAP

-3/4(5p-12)+2(8-1/4p)

thanks

after **simplifying** the **expression** - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

We are given the **expression**:

- 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p)

We need to **simplify** and **solve** the **expression**.

First we will solve the brackets.

- 15 / 4 p + 9 + 16 - 2 / 4 p

Now we will **combine** the like terms, so, we get that:

= 27 - 17 / 4 p

Therefore, after **simplifying** the **expression** - 3 / 4 (5 p - 12) + 2 (8 - 1 / 4 p), we get the result as 27 - 17 / 4 p.

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