True

False

True

When you move the decimal left the answer is the same but the decimal moves right one more when dividing

When you move the decimal left the answer is the same but the decimal moves right one more when dividing

True

The more zeroes you put in front of a number the more zeroes an answer will have

The more zeroes you put in front of a number the more zeroes an answer will have

Please show work so I can better understand.

The **probability** of happening of the events either B or C is [tex]\frac{2}{3}[/tex]

The probability that event A or event B happens is equal to the

probability that A happens plus the probability that B happens minus the probability that both happen. If events A and B are **mutually exclusive**, then the probability that event A or B happens is simply the sum of the probabilities. Given that

A = rolling a number greater than four

B = rolling an even number

C = rolling a multiple of 3

So,

P(A) = [tex]\frac{2}{6} =\frac{1}{3}[/tex]

P(B)=[tex]\frac{3}{6} =\frac{1}{2}[/tex]

P(C) = [tex]\frac{2}{6} =\frac{1}{3}[/tex]

Now, We have to find the probability of occurence of either event B or C

So, We know that

P(B or C ) = P(B) + P(C) + P(B or C)

P(B or C )= [tex]\frac{3}{6} +\frac{2}{6} -\frac{1}{6} =\frac{4}{6}[/tex]

P(BorC)= [tex]\frac{2}{3}[/tex]

Therefore, the **probability** of occurence of either event B or C is [tex]\frac{2}{3}[/tex].

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How do properties of integer exponents help you write equivalent expressions.

This is page 42 lesson 1-6 in the 8th grade math book.

By combining numerical or algebraic expressions that share a basis, distributing exponents among products and **quotients**, and simplifying powers of powers, one can exploit the properties of **integer** exponents to create similar **expressions**.

Based on the information, it's important to simply transfer the base and exponent to the other side of the fraction line, change the exponent to positive, and you have an analogous expression.

For example, the **expression** 2/3² can be illustrated to an equivalent expression as:

2/3² = 2 / (3 × 3)

= 2/9

This shows how the **exponent** has been used to form the new value.

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What is the value of angle x?

A. 28 degrees

B. 67 degrees

C. 113 degrees

D. 152 degrees

**Answer: b 67**

**Step-by-step explanation:**

**180-152 is 28**

**28+85=113**

**180-113=67**

**Answer:**

B) 67°

**Step-by-step explanation:**

The **exterior angle **of a triangle equals the **sum of opposite interior angles**.

85 + x = 152

Subtract 85 from both sides,

x = 152 - 85

x = 67°

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection? A. 1 : 2 B. 2 : 1 C. 3 : 2 D. 2 : 3James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection? A. 1 : 2 B. 2 : 1 C. 3 : 2 D. 2 : 3

After James adds stamps , the ratio of number of stamps in **James's collection** to the number of stamps in **Roy's collection** is 2:3 , the correct option is (D) 2:3 .

In the question ,

it is given that

Number of stamps that James has = 6 stamps

Number of stamps Roy has = 12 stamps

also , James **adds 2 stamp** to his collection ,

So number of stamps in James collection become = 8 stamps

So the **ratio **of number of stamps in James's collection to the number of stamps in Roy's collection is given by

= (number of stamps in James's collection)/(umber of stamps in Roy's collection)

Substituting the values , we get

= 8/12

Simplifying , we get

=2/3

Therefore , After **James** adds stamps , the** ratio** of number of stamps in **James's** collection to the number of stamps in **Roy's **collection is 2:3 , the correct option is (D) 2:3 .

The given question is incomplete , the complete question is

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collection. After James adds these stamps, what is the ratio of the number of stamps in James's collection to the number of stamps in Roy’s collection?

(A) 1 : 2

(B) 2 : 1

(C) 3 : 2

(D) 2 : 3

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Foster is centering a photo that is 7 1/5 inches wide on a scrapbook page that is 16 inches wide

The **distance** that's required to be kept geo either side will be 4.258 inches.

From the information, Foster is centering a photo that is 7 1/5 inches wide on a **scrapbook** page that is 16 inches wide.

It should be noted that 7 1/2 is the same as 7.5. Therefore,we can subtract and this will be:

= 16 - 7.5

= 8.5

Since we know that the **scrapbook** is 8.5 inches wider,we will divide the width by 2 to get the distance of either side and this will be:

= 8.5 / 2

= 4.25

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Foster is centering a photo that is 7 1/5 inches wide on a scrapbook page that is 16 inches wide. How far from each side go the page did he put the picture?

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

How many tablespoons of salt does Debnil have?

**Answer:**

lol

**Step-by-step explanation:**

I dunno my brain isn't braining

I need all of them answered they all have the same question. Use function notation to write the equation of the line.

The **equation** of each **line** using **function notation** is:

1. C. f(x) = 3x - 1.

2. D. f(x) = x.

3. D. f(x) = 4x + 4.

4. B. f(x) = -3/2x - 2

How to Write the Equation of a Line Using Function Notation?To use **function notation**, substitute the value of the **slope** (m) and the value of the **y-intercept** (b) into f(x) = mx + b.

**Slope** (m) = rise/run.

**Y-intercept** (b) is the point on the **y-axis** when the **line** intercepts the **y-axis**.

1. **Slope** (m) = rise/run = 3/1

**Slope** (m) = 3

**Y-intercept** (b) of the **line** = -1.

Substitute m = 3, and b = -1 into f(x) = mx + b:

f(x) = 3x - 1

The **equation** is: C. f(x) = 3x - 1.

2. **Slope** (m) = rise/run = 2/2

**Slope** (m) = 1

**Y-intercept** (b) of the **line** = 0.

Substitute m = 1, and b = 0 into f(x) = mx + b:

f(x) = (1)x + 0

f(x) = x

The **equation** is: D. f(x) = x.

3. **Slope** (m) = rise/run = 4/1

**Slope** (m) = 4

**Y-intercept** (b) of the **line** = 4.

Substitute m = 4 and b = 4 into f(x) = mx + b:

f(x) = 4x + 4

The **equation** is: D. f(x) = 4x + 4.

4. **Slope** (m) = rise/run = -3/2

**Slope** (m) = -3/2

**Y-intercept** (b) of the **line** = -2.

Substitute m = -3/2 and b = -2 into f(x) = mx + b:

f(x) = -3/2x - 2

The **equation** is: B. f(x) = -3/2x - 2

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A trampoline park costs $12 for the first hour and $6 for each additional hour. Flynn pays $30 at the trampoline park. Select the equation that represents the given situation and find the number of additional hours Flynn stays at the trampoline park after the first hour.

**Answer:**

Flynn stays at the trampoline park for an additional 3 hours.

**Step-by-step explanation:**

30 - 12 = 18

18 / 6 = 3

As for the "Select the equation that represents the given situation" I don't know what this really means so I didn't do that. Sorry.

what is the equation of the least squares regression line that describes the rela- tionship between operating cost per hour and number of passenger seats in the

The relationship between operating cost per hour and the number of passenger seats is shown by the equation of the least** squares** regression line, where y=1136+14.673x is the expected operating cost per hour and x is the number of passenger seats.

a plane figure in geometry with four equal sides and four right angles of 90 degrees. A square is both an equilateral rectangle and a special kind of parallelogram (an equilateral and equiangular one).

the parallelogram in detail.In Euclidean geometry, a parallelogram is a simple quadrilateral having two sets of parallel sides. The confronting or opposed sides and the opposing angles of a parallelogram are of equal length.

**based on the available facts;**

y=1136+14.673x

where

x= number of passenger seat

y=predicted operating cost per hour.

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What is the slope equation for (1,-1) and (5,-17)

Answer:

slope(m) is -4

Step-by-step explanation:

[tex]m=\frac{-17-(-1)}{5-1} \\\\m=\frac{-16}{4} \\\\m=\frac{-4}{1} \\\\m=-4[/tex]

now substitute with one of the points

y=mx+b

-1=-4+b

+4 +4

3=b

now you have both m and b

y=-4x+3

write the absolute deviation inequality for the following. Six students measure the acceleration of an object in free fall. The measured values are shown below. The students want to state that the absolute deviation for each measured value x from the mean is at most d. Find the value of d. 0.56, 9.52, 9.73, 9.80, 9.78, 10.91

Six students measure the **acceleration **of an object in free fall. The students want to state that the **absolute deviation** for each measured value x from the mean is at most d is 0.86.

The **average **of **absolute deviations** from a central point makes up the **average absolute deviation** (AAD) of a data collection. It is a statistical summary of the statistical variability or dispersion. A **mean**, **median**, **mode**, or the result of any other central tendency measure or any reference value associated with the specified data set can all serve as the central point in the general form. The **mean absolute deviation** and the **median absolute deviation** are part of AAD (both abbreviated as MAD).

Find the mean of the data set first, then use that value to calculate the mean absolute deviation of the data. Divide the total number of data values by the sum of the individual data values. Assess the **magnitude **of the absolute difference between each data point and and the mean.

The measured data is

x = [10.56, 9.52, 9.73, 9.80, 9.78, 10.91]

There are 6 measurements.

Calculate the mean.

m = (10.56+9.52+9.73+9.80+9.78+10.91)/6 = 10.05

Calculate deviations from the mean.

y = |x - m|

= [0.51, 0.53, 0.32, 0.25, 0.27, 0.86]

The greatest deviation from mean is d = 0.86.

Calculate the **average absolute deviation**.

(0.51+0.53+0.32+0.25+0.27+0.86)/6 = 0.4567

The answer is: d = 0.86

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A ball's position, in meters, as it travels every

second is represented by the position function

s(t) = 2.3t² + 225. What is the velocity of the

ball after 5 seconds?

A ball's position, in **meters**, as it travels every second is 282.5 sec.

Combining things and counting them as one big group is done through addition. In math, addition is the process of **adding **two or more **integers **together. Addends are the numbers that are added, while the total refers to the **outcome **of the operation. The **sum** is the entire value, and the addends are the integers that are being added. The mathematical operation of **addition** is the process of adding two or more numbers together to determine the total, or sum.

Given that,

The position function s(t) = 2.3t² + 225.

The velocity of the ball after 5 seconds is

s(t) = 2.3t² + 225.

t= 5

s(5) = 2.3(5)² + 225.

s(5) = 2.3(25) + 225.

s(5)= 57.5+ 225

s(5)= 282.5

Therefore, it travels every second is 282.5 sec.

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I need help Asap What is the expression form of 8 more than the qoutient of a number times itself and 5 minus 3

**Answer:**

**Step-by-step explanation:**

[tex]\displaystyle\\8 > \frac{x}{4}(x+5)-3[/tex]

What is (3x2.05)+(_x1.09)+(2x_)+(_x_) I NEED HELP PLEASE SOMBODY

(MATH) (WILL MARK BRAINLIST)

The value of the **expression **given as (3x + 2.05) + (-x + 1.09) + (2x) + (x) is 5x + 3.14

**Expressions **are mathematical statements that are represented by variables, coefficients and operators

The **expression **is given as

(3x + 2.05) + (-x + 1.09) + (2x) + (x)

Start by opening the brackets

(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 3x + 2.05 - x + 1.09 + 2x + x

Next, we collect the like terms

(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 3x - x + 2x + x + 2.05 + 1.09

Next, we evaluate the like terms

(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 5x + 3.14

Hence, the value of the **expression **is 5x + 3.14

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**Possible question**

What is (3x + 2.05) + (-x + 1.09) + (2x) + (x)

Find the zeros of the quadratic equation: y = x^2 + 64

**Answer: X=-8**

**Step-by-step explanation:**

**(x+8)(x+8)= 0**

**x=-8**

Please help!!! .The HCF of 90 and another number is 30. If the LCM of the number is 360, find the other number

The most appropriate choice for **HCF** and **LCM** will be given by

The other number is 120

**What is HCF and LCM?**

**HCF ** of two numbers A and B is the highest common factor of A and B. **HCF** is the highest number which divides both A and B.

**LCM **of two numbers A and B is the lowest common multiple of A and B. **LCM** is the least number which is divided by both A and B.

Here,

Let the other number be [tex]x[/tex]

HCF of 90 and [tex]x[/tex] = 30

LCM of 90 and [tex]x[/tex] = 360

Product of HCF and LCM = 30 [tex]\times[/tex] 360

Product of 90 and [tex]x[/tex] = 90 [tex]\times[/tex] [tex]x[/tex]

By the problem,

90 [tex]\times[/tex] [tex]x[/tex] = 30 [tex]\times[/tex] 360

[tex]x = \frac{360 \times 30}{90}[/tex]

[tex]x = 120[/tex]

The other number is 120

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Solve 3x2 4x = 2. quantity of 2 plus or minus square root of 10 all over 6 quantity of negative 2 plus or minus 2 square root of 10 all over 3 quantity of negative 2 plus or minus square root of 10 all over 3 quantity of negative 4 plus or minus square root of 10 all over 3

**Main Answer:**

[tex]x=\frac{-2\±\sqrt{10}}{3}[/tex]

**Explanation:**

The given equation is,

[tex]3x^{2} +4x=2[/tex]

The

The quadratic formula to find the value of x for the equation [tex]ax^{2} +bx+c=0[/tex] is,

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

The values are,

a = 3, b = 4, c = -2

Now, substitute the values of a, b and c

[tex]x=\frac{-4\±\sqrt{(4)^{2}-4(3)(-2)}}{2(3)}[/tex]

[tex]x=\frac{-4\±\sqrt{16-12(-2)}}{6}[/tex]

[tex]x=\frac{-4\±\sqrt{40}}{6}[/tex]

[tex]x=\frac{-4\±2\sqrt{10}}{6}[/tex]

[tex]x=\frac{2(-2\±\sqrt{10})}{6}[/tex]

[tex]x=\frac{-2\±\sqrt{10}}{3}[/tex]

Show all work to identify the asymptotes and state the end behavior of the function

The** horizontal **asymptote of the function is y=36 and** vertical **asymptote is x = 6 and its **end behavior** is f(x)→6.

As the independent variable approaches a certain value, the function approaches asymptotes, but does not cross them. They could be angled, vertical, or horizontal.

ascending asymptotes

There will be a vertical asymptote at x=a if the denominator factor of a rational function, (x - a), is not matched by the same factor in the numerator.

horizontal asymptotes:

When x is large, the value of a rational function approaches the ratio of the **highest-degree** terms in the numerator and denominator.

Given the function is f(x) = 6x/x-36

limx→±∞ 6x/x-36

= limx→±∞ 6/1-36/x

= 6 ⇒ horizontal asymptote: y = 6

Consider **denominator** = 0 ↔ x-36 = 0 ↔ x=36

limx→₊₂₅ 6x/x-36

= 6×36/0⁺ = ∞ ⇒ vertical asymptote: x = 36

**End behavior** of f(x):

As x → -∞ or x → ∞, f(x) → 6.

Hence we get the asymptote and the end behavior of the function.

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In the diagram below, AB || CD, AD || BC, DEL CE, m/DCE = 30°

and m/ADE = 59°. Find m/ECB.

Answer: m/ECB

59°

=

You may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale.

||

E

O

B

Submit Answer

30°

attempt 6 out of 10

**Answer:**

Angle EDC = 180 - 90 - 30 = 60° (sum of angles in triangle add up to 180°)

Angle ADC + angle DCB = 180° (interior angles, AB//CD)

59 + 60 + 30 + angle ECB = 180

Angle ECB = 180 - 59 - 60 - 30 = 31°

The shape of a water tower can partially be modeled by a sphere in which the diameter is 30 feet. A painter needs to calculate the surface area of this part of the water tower to accurately estimate the amount of paint needed for the job. What is the surface area of this portion of the water tower to the nearest square foot? Surface area: square feet

Answer: i believe the answer is 113.1 square feet

Step-by-step explanation: pi times 30

A triangle has angles that measure x, (x + 10), and (2x - 6). Solve for x to find the value of each angle, and determine what type of triangle it is.

Group of answer choices

60, 60, 60. Equilateral

40, 40, 100. Obtuse

44, 46, 90. Right

44, 54, 82. Acute

**Answer:**

44, 54, 82. Acute

**Step-by-step explanation:**

x + x + 10 + 2x - 6 = 180 (Triangle Sum Theorem)

4x + 4 = 180 (Combine Like Terms)

4x = 176 (Subtraction Property of Equality)

x = 44 (Division Property of Equality)

Now that we have found the value of x, we need to substitute it with the provided angles.

∡1 = x = 44°

∡2 = x + 10 = 54°

∡3 = 2x - 6 = 2(44) - 6 = 82°

So, the answer is an **Acute **triangle (Option 4).

Lowes carries 3 types of plants. 1/10 of the plants are fruit bearing 1/2 of the plants are flower bearing, the rest are vegetable bearing plants. How many are vegetable bearing plants?

The **number** of **vegetable** bearing **plants** are : **0.45x, **where x is the total number of **plants**.

A fraction in mathematics represents a portion or element of the whole. It represents the **appropriate parts **of the totality. A fraction is made up of two parts: the numerator and the **denominator**. The number at the top is the numerator, and the number at the bottom is the denominator. The numerator indicates the number of equal parts that were actually taken, whereas the **denominator **shows the total **number **of **equal parts **in the whole.

Let x be the **initial **plant **population**.

Now that 1/10 of **plants **bear fruit, the quantity of fruit-bearing plants is **equal to 0.1x.**

Plants remaining then equal** x - 0.1x = 0.9x.**

Once more, because half of the **remaining plants **give flowers, the number of flower-bearing plants is equal to **0.5(0.9x) = 0.45x.**

As a result, the **number **of **plants **left is equal to **0.9x - 0.45x = 0.45x.**

Given that all remaining plants **produce veggies**, the number of plants that do so is equal to 0.45.

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Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other.

f(x)=6x+5 and g(x)= x-5/6

a. f(g(x))= (Simplify your answer.)

b. g(f(x))= (Simplify your answer.)

Part a

[tex]f(g(x))=6\left(x-\frac{5}{6})+5=6x-5+5=6x[/tex]

Part b

[tex]g(f(x))=g(6x+5)=(6x+5)-\frac{5}{6}=6x+\frac{25}{6}[/tex]

Therefore, the functions are not inverses of each other since [tex](f(g(x)) \neq x[/tex].

what is the GCF of 18a^4b^9c^2 and 34a^6b^5 and 22a^8bc^7

The **greatest common factor**, GCF, of the given terms is 2a⁴b

From the question, we are to determine the GCF of the given expressions. GCF means Greatest common factor

The given expressions are 18a^4b^9c^2 and 34a^6b^5 and 22a^8bc^7

First, we will write the expressions properly

The given expressions are 18a⁴b⁹c² and 34a⁶b⁵ and 22a⁸bc⁷

To determine the GCF of the expressions, we will express each one of them as a product of their factors

That is,

18a⁴b⁹c² = 2 × 3 × 3 × a × a × a × a × b × b × b × b × b × b × b × b × b × c × c

34a⁶b⁵ = 2 × 17 × a × a × a × a × a × a × b × b × b × b × b

22a⁸bc⁷ = 2 × 11 × a × a × a × a × a × a × a × a × b × c × c × c × c × c × c × c

Hence, the GCF is 2 × a × a × a × a × b = 2a⁴b

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there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at random from the jar. on each draw, what is probability of drawing a gold jelly bean

there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at **random **from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

How can I find the **probability**?

The **probability **of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

there is a jar containing 27 black

and 33 gold jelly beans.

you will get a chance to draw 10 **jellybeans **at random from the jar.

on each draw, what is **probability **of drawing a gold jelly bean

Add up the total number of **jellybeans**, 27 + 33 = 60

Divide the number of gold **jellybeans **by the total: 33/60 and reduce the fraction to 11/20

=0.55

Hence, there is a jar containing 27 black and 33 gold jelly beans. you will get a chance to draw 10 jelly beans at **random **from the jar. on each draw, 0.5 is the probability of drawing a gold jelly bean

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last week, 3/4 of the students in Mr. Zanker's class went on a field trip. 5/8 of the students in Mr. Haynes's went. What is the average fraction of students in the two classes who went on the field trip?

The average **fraction** of students in **Mr. Zanker's class** and Mr. Haynes who went on the field trip is 11/8.

From the question, the fraction of the students in Mr. Zanker's class that attended the field trip is 3/4.

The fraction of the students in Mr. Haynes class that attended the field trip is 5/8 .

Then the we can calculate the** average fraction **of student in the class of the two teacher is

= (3/4 + 5/8) = 11/8.

Therefore, the average fraction of the number of the student can be calculated as 11/8.

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2/3 x ___ = -1

what’s the blank ?

By doing **multiply** of = [tex]\frac{2}{3}[/tex] with =[tex]\frac{-3}{2}[/tex] we get -1 .

**Algebra** is one of the areas of mathematics where **mathematical expressions** can be used to represent situations or problems. In order for a mathematical statement to make sense, it must have mathematical operations like **addition**, **subtraction**,** multiplication**, and **division **as well as variables like x, y, and z. Every branch of mathematics, including calculus, trigonometry, and **coordinate geometry**, uses algebra. The equation 2x + 4 = 8 is a simple algebraic formula.Mathematical branch known as algebra deals with symbols and **arithmetic operations** on them. These symbols are referred to be variables since they lack set values. We frequently observe specific values that change in our day-to-day situations. However, there is a continuing need to depict these shifting values. These values are frequently represented in algebra by symbols, which are known as variables, such as x, y, z, p, or q. In order to determine the values, additional arithmetic operations such as addition, subtraction, multiplication, and division are performed on these symbols.

Given that : = [tex]\frac{2}{3}[/tex] x ___ = -1

[tex]\frac{2}{3}[/tex] ×[tex]\frac{-3}{2}[/tex]

=-1

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.

y=8800(1.573)^x

y=8800(1.573)

x

The given** exponential** function represents the growth in function with a percentage increase as 57.3%.

Given we have the exponential** function **as :

y=8800(1.573)ˣ

it is in the form of: y=k.aˣ

therefore, if a>2 then the function represents **growth.**

and if a<1 then the function represents decay.

now, x=1.573

1.573 > 1

so, the function represents **change** in growth.

therefore, 1.573 - 1

= 0.573

= 57.3%

hence the change in growth of the function is **increased **by 57.3%.

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solve this please. i have no idea what to do

**-3/2<h<0 **is the answer.

Given,

1+5h <h+1 <7+5h

**Solution:**

1+5h <h+1 <7+5h

If a < u <b, then a<u , u<b

Therefore,

1+5h <h+1 and h+1 <7+5h

1+5h <h+1

1+5h= h+1

4h = 0

h = 0

Therefore,

**h<0**

h+1 <7+5h

h+1 = 7+5h

4h = -6

h = -3/2

**h > -3/2**

Combine the intervals

h<0 and h> -3/2

By combining the above two, we get

**-3/2<h<0**

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Describe or show how to determine the average rate of change between x = 2 and x = 4 for the function f(x) = 2x3 + 1. Include the average rate of change you found in your answer.

The** average rate of change **on the **interval** [2, 4] is 56

Here we have the **function**:

f(x) = 2x^3 + 1

And we want to find the** rate of change** on the **interval **[2, 4].

Remember that for a function f(x) the **rate of change **on an interval [a, b] is.

R = ( f(b) - f(a))/(b - a)

Then in this case, the **rate of change** is:

R = [ f(4) - f(2)]/[4 - 2] = ( 2*4^3 + 1 - 2*2^3 - 1)/2 = (4^3 - 2^3) = 56

So the **rate **is 56.

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