Name 3-Dimensional Rectangular Items that are something you can hold. And then name those items' Length, Width, Height, Area, or Volume.

**Cube: Rubrics Cube or Dice**

**Rectangular Prism: Notebook or Gift box**

**Sphere: Globe or Beach ball**

**Cone: Carrot or Cone**

**Cylinder: Barrel or Bucket **

**Volume Formulas:**

**Cube = a^3**

**Rectangular Prism = L x B x H**

**Sphere = 4/3 pi(r^2)**

**Cone = 1/3 pi(r^2)h**

**Cylinder = pi(r^2)h**

**(pi = 3.14)**

**Hope this helps.**

What kind of triangle is this?

73°

75°

acute

Submit

32°

right

obtuse

**Answer:**

acute

**Step-by-step explanation:**

acute: degrees are all less than 90*

right angles: have a 90* angle

obtuse angle: has an angle greater than 90*

Quadrilateral A' B'C'D' is the image of quadrilateral ABC D under a translation.

The answer is 1 unit to the left and 3 units down

Question 5(Multiple Choice Worth 1 points) (01.05 LC) Which of the following is an equivalent form of the compound inequality -22 -5x - 72-33? -5x - 7-22 and -5x - 72-33 O-5x - 7-22 and -5x - 72 −33 O-5x = -22 and -7 2 -33 -5x 7-22 and -5x - 7 ≤ -33

The equivalent form of the **compound inequality **where the **compound inequality **is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4

The **compound inequality **is given as

-22 > -5x - 7 ≥ -3

Add 7 to all sides of the **compound inequality **

So, we have

7 -22 > -5x - 7 + 7 ≥ -3 + 7

Evaluate the sum in the above **compound inequality **

So, we have

-15 > -5x ≥ 4

Hence, the equivalent form of the **compound inequality **where the **compound inequality **is given as -22 > -5x - 7 ≥ -3 is -15 > -5x ≥ 4

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Find the solution to the system of equations. Round to the nearest tenth if necessary.

f(x) = 3x+6

g(x) = x² + 4x + 1

**Answer:**

The solutions are

**(-2.8, -2.4) and**

**(1.8, 11.4)**

- to the nearest tenth.

**Step-by-step explanation:**

x² + 4x + 1 = 3x+6

x² + 4x - 3x + 1 - 6 = 0

x² + x - 5 = 0

Using the quadratic formula:

x = [-1 +/- √((1)² - 4*1*(-5)] / 2

= (-1 - 4.583) / 2 , (-1 + 4.583) / 2

= -2.791, 1.792.

Substituting for x in the equation:

y = -2.374, 11.374.

I have attached the problem in a picture below!

**Answer:**

A. The solution set is x = 5 or -7

**Step-by-step explanation:**

[tex] \sqrt[4]{ {x}^{2} + 2x } = \sqrt[4]{35} \\ {({x}^{2} + 2x) }^{ \frac{1}{4} } = {(35)}^{ \frac{1}{4} } \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} } = {35}^{ \frac{1}{4} } \\ {x}^{2} + 2x = 35 \\ {x}^{2} + 2x - 35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5 \: or \: - 7[/tex]

Therefore, the answer is A. as the solution is x = 5 or -7

QUESTION 8

Simplify 6a+ (-12b) - 9b+8a

O 2a + 3b

O 14a-21b

O2a-21b

O 14a + 3b

After simplification of the given** expression, **6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

So, 6a + (-12b) - 9b + 8a:

6a + (-12b) - 9b + 8a6a + -12b -9b + 8a6a - 21b + 8a14a - 21bTherefore, after simplification of the given** expression, **6a + (-12b) - 9b + 8a the value is (B) 14a - 21b.

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**The correct question is given below:**Simplify 6a+ (-12b) - 9b+8a

A. 2a + 3b

B. 14a-21b

C. 2a-21b

D. 14a + 3b

expanded:

Kaleb compared the perimeters of two

posters hanging on his bedroom wall.

60 cm

What is the perimeter

of the football poster?

86 cm

What is the perimeter

of the basketball poster?

Which poster has a

greater perimeter?

catam

55 cm

Answer:

1. The perimeter of the basketball poster is 240.

The perimeter of the football poster is 282.

3. Football poster has the greater perimeter.

Step-by-step explanation:

To find the perimeter of the basketball poster you multiply the given side by 4 since there is 4 sides. So 60 * 4 = 240.

To find the perimeter of the football poster you use the formula 2(l+w). So our l (length) is 86, while our w(width) is 86. So plug it in the formula.

2(55+86)=282.

282 > 240, which means that the football poster has a greater perimeter.

Hope that helps, have a good day!! :D

For a party, Ashley wants to make 12 hamburgers. If she has 2.964

pounds of meat, how much would each patty weigh? _________ pounds

**Answer:**

247

**Step-by-step explanation:**

divides 2964 entre 12 y obtienes 247

evaluate the function f(x) = square root of x at given value

**Answer:**

2/11

**Step-by-step explanation:**

since the square root of 4 is 2 and that of 121 is 11

9 less than nine times a number.

**Answer:**

9-9x

**Step-by-step explanation:**

Converted from word to standard form.

The value of the **equation **9 less than nine times a **number **is A = 9n - 9 , where n is the number

**Equations **are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an **equation**.

Given data ,

Let the **equation **be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 9 less than nine times a **number**

Let the number be represented as n

On simplifying the equation , we get

A = 9n - 9

Therefore , the value of A is 9n - 9

Hence , the **equation **is A = 9n - 9 , where n is the **number **

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I just need that one answer please

**Answer:50.5**

**Step-by-step explanation:**

because if you put the numbers from the smallest to largest in a line and take the middle numbers and divide by 2 you get 50.5.

You sell a smartphone that was originally priced at $600 but is now on sale for 20% off. You give a loyal customer an additional 10% discount. What is the total percent of discount the customer receives on the purchase? A.

**Answer: 30% **

**Step-by-step explanation: just add the 20% and 10% and you get 30%**

Find the average rate of change of the function from x₁ to X₂.

x-Values

X1 = 1, X₂ = 6

Function

f(x) = x² - 2x + 6

Ylngrjfngmssmvgmvnwgnwgnnf vex we’ve

How many platelets are in 3 milliliters of blood write your answer in standard form

2.7x10^8 is you answer

find the total amount and total interest after eight months if the interest is compounded every four months

The total amount is $ 6050, and the total **interest** after 8 months is $1050.

What is **interest**?

Here,

Period per year = 124 = 3

Total amount = amount (1 + periodic rate)period

= $6,050

Total **interest** = Total amount - amount

= 6050 - 5000

= $1,050

Thus,

The total amount is $ 6050, and the total **interest** after 8 months is $1050.

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what is the complement of 14 17'

The **complement of the angle** 14° 17' would be; 75° 43'

We want to find the **complement** of the **angle** 14° 17'

The **complement **of 14° is the angle that when added to 14° forms a **right angle** (90° ).

Now, when an apostrophe is found in the word angles, it means '**angular minutes**, while " denotes angular seconds. For instance, "75degree 20′ 39" means "75 degrees, 20 minutes, and 39 seconds."

Thus, 14° 17' means 14 degrees, 17 minutes.

Now, 17 minutes when **converted** to degree is;

17/60 degrees = 0.283. Thus; 14° 17' = 14.283

Now, the **complement** of 14° 17' would be;

90 - 14° 17' = 75° 43'

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The mean diameter of holes produced by a drilling machine bit is 4.05 mm and the stan dard deviation of the diameters is 0.0028 mm For twenty holes drilled using this machine, determine, correct to the nearest whole num ber, how many are likely to have diame ters of between (a) 4.048 and 4.0553 mm and (b) 4.052 and 4.056 mm, assuming the diameters are normally distributed.

The total number of holes will be (a)**15** and (b) **4** when the drilling machine is used whose **standard deviation** is 0.0028mm.

The square root of the variance is used to calculate the** standard deviation**, a statistic that expresses how widely distributed a dataset is in relation to its **mean**.

The sum of all values divided by the total number of values constitutes a dataset's **mean.**

The mean of the holes are given as 4.05 mm([tex]\mu=4.08[/tex])

The **standard deviation** is given as 0.0028 mm([tex]\rho=0.0028[/tex])

Now we will use the **z-score** and **probability distribution** to calculate the frequency of the holes to have diameter between 4.048 and 4.0553.

Here [tex]Pr(4.048\leq X\leq 4.0053)[/tex] ,so we need to compute the z-values

[tex]Z_1=\frac{X_1-\mu}{\rho} \\Z_1=\frac{4.048-4.05}{0.0028} \\Z_1=-0.7143[/tex]

Similarly:

[tex]Z_2=1.8929[/tex]

Therefore from the above statements we can say that

[tex]Pr(-0.7143\leq X\leq 1.8929)[/tex]

Solving for probability distribution we get

[tex]Pr(4.048\leq X\leq 4.0053)=0.7333[/tex]

Total number of holes=0.7333 × 20= 14.666..

Therefore the number of holes is 15

Similarly

The z-value corresponding to 4.052 mm is given by 0.71

The z-value corresponding to 4.056 mm is given by:2.14

The probability of the diameter being between 4.052 mm and 4.056 mm is 0.4838 – 0.2611 =0.2227

The number likely to have a diameter between 4.052 mm and 4.056 mm = 0.2227 × 20

= 4.454

= 4, correct to nearest whole number

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teach me simple equation solving an equation using tansposing method class 7 pleaseee pls

Any given **equation **can be solved with the help of **transpose method** by following the** steps** mentioned below, but first understand what is linear equation.

A linear equation is an equation in which the** highest power** of the variable is always** 1**. It is also known as a **one-degree **equation. It is of the form -

**y = ax + b**

Given a simple **equation** and we have to solve the equation using **transpose method.**

We will learn about **transpose method** of equation solving with the help of an example. Assume that you have to solve the following **expression **-

**4(x + 9) = 3(x + 7)**

**STEP - 1 - **Identify the **unknown variable.**

In the expression given, the unknown variable is **x**.

**STEP - 2 - **Solve the **Left hand side** and **Right hand side** to make both sides **simpler.**

In the expression given, we will simplify both sides -

4(x + 9) = 3(x + 7)

4x + 4 × 9 = 3x + 3 × 7

4x + 36 = 3x + 21

**STEP - 3 - **Transfer the terms that containing **variable** one **Left hand side** of equation and the** constant terms** on the **right hand side**.

Apply Step 3 -

4x - 3x + 36 = 21

4x - 3x = 21 - 36

**STEP - 4 - **Solve for **unknown variable**.

We have -

4x - 3x = 21 - 36

**x = - 15**

Therefore, any given **equation **can be solved with the help of **transpose method** by following the** steps** mentioned above.

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How many times larger is 8 x 10^5 than 4 x 10^3?

The value **8 x 10^5 **is **200 times **greater than 4 x 10^3

The standard **scientific notation** is expressed as A * 10^n

where

A is the values between 1 and 10

n is any integer

In order to d**etermine **how many times larger is 8 x 10^5 than 4 x 10^3, we will t**ake the ratio;**

Ratio = 8 x 10^5/4 * 10^3

Ratio = 8/4 * 10^5/10^3

Ratio = 2 * 10^2

Ratio = 200

Hence the value **8 x 10^5 **is **200 times **greater than **4 x 10^3**

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Suppose you make monthly mortgage payments of $1,345 and have 10 years left on the mortgage (next payment due next month). Assuming a 3.6% stated annual interest rate for the mortgage, how much would you need today to pay off the mortgage?

I will need **$1,61,884.2 **to pay off the mortgage.

This problem is related to **simple interest** and we have to calculate the amount after 10 years which is payable in the form of mortgage.

The monthly mortgage payment is $1,345.

**Rate of interest** is 3.6% per annum.

Time is given to be 10 years.

Simple interest for 10 years = 1345×3.6×10/100

= $ 484.2

So, the total money required to clear the mortgage

= $(1345×12×10) + $ 484.2

= $161400 + $484.2

=** $ 1,61,884.2**

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(2,−3) and (0,−8) answer

**Answer:**

y2-y1/x2-x1

-8--3/0-2

**Step-by-step explanation:**

-8+3/-2=-5/-2=5/2

Find the square root of: 2 + sqrt5

**Answer:**

3.65

**Step-by-step explanation:**

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club

Event C has ____ outcome(s)

The total **outcomes **for the **event **C: selecting a club card from a standard deck of 52 playing cards = 13

In this question, we have been given an **event **of a random **experiment**.

You randomly select one card from a standard deck of 52 playing cards. Event C is selecting a club.

We need to find the total number of **outcomes **for event C.

Number of cards in a deck = 52

We know that, the number of club cards in the standard deck of cards = 13

Therefore, the total **outcomes **for the **event **C: selecting a club card from a standard deck of 52 playing cards = 13

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What is the standard deviation of this data set ?Reporting 2 more decimal places than the original data. 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61

**Answer:6.986**

**Step-by-step explanation:**

To find the standard deviation of a set of data I find it easiest to make a chart. First you must find the mean of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number. Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number. In this case your standard deviation is 6.986.

**Answer: Standard deviation** is 6.986.

**Step-by-step explanation: **

Given an data 69.2,85.2,85.2,73.8,57.9,42.6,59,67.2,85.2,61 and have to calculate standard deviation

To find the **standard deviation** of a set of data I find it easiest to make a chart. First you must find the **mean** of your data. In this case it is 476.85. Then you must subtract the mean from each data point, and square each number.

Now you take your new set of data that has been squared and find the mean of these numbers. This is 48.8006. Lastly, take the square root of this number.

In this case standard deviation is 6.986.

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The distance between two places of interest is 2/3km. I go 1/4 of this distance on foot. How far is still to go?

**Answer:**

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

**Step-by-step explanation:**

If I have traveled 1/4th of the distance between two places, I still have 1 - 1/4 = 3/4th of the distance yet to cover

If the distance between the two places is d, distance left =(3/4) . d

In this case, d = 2/3 km

So distance left to cover = [tex]\dfrac{2}{3}\cdot \dfrac{3}{4}[/tex]

We can cross-cancel the 3 which appears as the denominator in the first fraction and the numerator in the second fraction

[tex]\dfrac{2}{\cancel{3}}\cdot\dfrac{{\cancel{3}}}{4}=\dfrac{2}{4}[/tex]

Dividing both numerator and denominator by 2 gives us

[tex]\dfrac{2\div2}{4\div2}=\dfrac{1}{2}[/tex]

Answer:

[tex]\displaystyle \mathsf $\dfrac{1}{2}$ km[/tex]

The U.S. Census Bureau defines a household as all of the people who occupy a housing unit as their usual

place of residence. The number of households is not equal to the population because multiple people may

live in the same housing unit.

82.1% of Cincinnati households have a computer. If 111.804 households in Cincinnati have a computer, how

many households are there altogether in Cincinnati? Show your work. Round to the nearest whole number.

**Answer: ** total household present are 136

**Step-by-step explanation:**

Given:

82.1% of Cincinnati households have a computer.

111.804 households in Cincinnati have a computer.

According to **ratio and proportions **we have:

let total number of houses be x;

then

(111.804/x)*100=percentage of Cincinnati households having a computer. [[tex]gain/total*100 =gain %[/tex]**]**

then

(111.804/x)*100=82.1

cross multiplying we have

x=(111.804*100)/82.1

x=136 households (Round to the nearest whole number.)

so total household present are 136

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En que líquido se hunda más rápido un huevo

**Answer:**

Se hunde mas rapido en agua salada.

**Step-by-step explanation:**

Negative 16/72 in simplest form

**Answer:**

Negative 2/9 I believe

**Step-by-step explanation:**

sorry if i am wrong

**Answer:**

-2/9

**Step-by-step explanation:**

-16/72

**Simplify**

We can divide the top and bottom by 8

16 divided by 8 = 2

72 divided by 8 = 9

-2/9

What is the factored form of x2−9

**Answer:**

(x+3)(x-3)

**Step-by-step explanation:**

When factoring x^2-9 you'd look for square multiples of -9.

Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)

Answer

(x-3)(x+3)

Explanation:

X^2-9 is a difference of squares

You can check it by FOIL

X times X = x^2

x times 3= 3x

-3 times x= -3x

-3 times 3=-9

Add it together : x^2 + 3x-3x-9

You get: x^2-9

(x-3)(x+3)

Explanation:

X^2-9 is a difference of squares

You can check it by FOIL

X times X = x^2

x times 3= 3x

-3 times x= -3x

-3 times 3=-9

Add it together : x^2 + 3x-3x-9

You get: x^2-9

A house is purchased for $145,000 and each year increases in value by 6% of its value the previous year. (6 marks) Let be the value of the house in year . Write a diﬀerence equation which gives the value of the house after years. Solve the diﬀerence equation. Find the projected value of the house in 15 years.

The projected value of the house after 15 years is $347500.

A house is purchased for $145,000.

The value of the house increases each year by 6% of its value the previous year.

Let y(n) denote the value of the house after n years.

Initial value is $145,000.

⇒ y(0) = 145,000

The value of the house increases each year by 6% of its value the previous year.

Therefore the growth is exponential, and we have

y(n) = y(0)(1+0.06)ⁿ

When n = 1

⇒y(1) = 145000 × (1.06)

⇒y(1) = 153700

When n = 2,

⇒y(2) = 145000 × (1.06)²

⇒y(2) = 162922

Therefore, when n = 15,

⇒y(15) = 145000 × (1.06)¹⁵

⇒y(15) = 3,47,500

Therefore, the projected value of the house after 15 years is $347500.

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Which dimension of the external environment represents events originating in foreign countries as well as opportunities for american companies in other countries?
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I need help with 4B please. Thank you!
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