**Answer:**

h < 11

**Step-by-step explanation:**

Thats what i get when i work it out lol

PLEASE SOLVE THIS IM GIVING 40 POINTS

The coordinates of the** point P** lying between AB is found as (7, -2/5).

For the given question;

The two end coordinates are;

(x₁, y₁) = (8, 0)

(x₂, y₂) = (3, -2)

The **ratio** of the division is;

AP/PB = 1/4

OR

m:n = 1:4

The Formula for finding the coordinates of P for **internally **crossing is;

x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Put the values;

x = (mx₂ + nx₁)/(m + n)

x = (1×3 + 4×8)/(1 + 4)

x = (3 + 32)/5

x = 7

Now for y coordinates.

y = (my₂ + ny₁)/(m + n)

y = (1×(-2) + 4×0)/(1 + 4)

y = -2/5

Thus, the coordinates of the** point P** lying between AB is found as (7, -2/5).

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Divide using synthetic division. Write down the answer as a polynomial.x^3-5x^2-2x+24=0; (x+2)

we are given the following polynomial:

[tex]x^3-5x^2-2x+24=0[/tex]we are asked to use synthetic division by:

[tex]x+2[/tex]first we need to find the root of "x + 2":

[tex]\begin{gathered} x+2=0 \\ x=-2 \end{gathered}[/tex]Now we do the synthetic division using the following array:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {\square} & {\square} \\ {\square} & {\square} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {\square} \\ {1} & {-7} & {\square}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {\square} & {} & {} \\ {\square} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

[tex]\begin{bmatrix}{1} & {-5} & {-2} \\ {\square} & {-2} & {14} \\ {1} & {-7} & {12}\end{bmatrix}\begin{bmatrix}{24} & {} & {} \\ {-24} & {} & {} \\ {0} & {} & {}\end{bmatrix}\begin{cases}-2 \\ \square \\ \square\end{cases}[/tex]The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

[tex]\frac{x^3-5x^2-2x+24}{x+2}=x^2-7x+12[/tex]The temperature in the morning was –2º F. The temperature in the evening was 9º F higher than it was in the morning. What was the temperature in the evening?

**Answer:**

**Step-by-step explanation:**

-2f

Can Some one please help me match the congruence statements below!

[tex]\text{ AB }\cong PQ[/tex][tex]RQ\text{ }\cong\text{ CB}[/tex][tex]\angle QPS\text{ }\cong\angle BAD[/tex][tex]\angle\text{CDA }\cong\text{ }\angle RSP[/tex]

Write two numbers that multiply to the value on top and add to the value on bottom.

The values are -3 and -26

**What is Multiplication?**

A product is an expression that identifies the object to be **multiplied**, called the result of a **multiplication**, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is **multiply **to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

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An alloy is a mixture of metals. Suppose that a certain alloy is made by mixing 70

grams of an alloy that contains 12% copper with 90 grams of pure copper.

(a) How many grams of copper are in the resulting mixture?

(b) What percentage of the resulting mixture is copper?

a)There is **160 grams** of copper are in the resulting mixture

b) There is **61.5%** percentage of the resulting mixture is copper.

**What are mathematics operations?**

• An operation is a **function **in mathematics that converts zero or more input values (also known as "operands" or "arguments") to a well-defined output value.

• The operation's arity is determined by the number of operands.

• **Binary operations **(i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the most commonly studied operations.

• A zero-arity operation, also known as a **nullary operation**, is a constant.

• The **mixed product** is an example of an arity 3 operation, also known as a ternary operation

From the question:

a) Suppose that a certain **alloy **is made by mixing 70 grams of an alloy that contains 12% copper with 90 grams of pure copper.

The number of **grams **of **copper** in the **resulting mixture** = 70 grams + 90 grams = 160 grams

b) 70 grams of an alloy that contains 12% copper = 70 × 12%

= 70 grams × 0.12

= 8.4 grams

The number of grams of copper in the resulting mixture = 160 grams

The percentage of the resulting mixture that is **copper **is

=( 8.4 grams + 90 grams of pure copper/160) × 100

= 98.4/160 × 100

= 61.5%

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CRITICAL THINKING Find the values of a, b, and c so that the linear system shown has (---1. 2. --3) as its only solution. Explain your reasoning. x + 2y - Bra -r-y +z = b 2x + 3y - 2z=c enter your answer as follows: a=_,b=_,c=__without any spaces. Show Your Work

1) Let's set the system of linear equations:

x +2y -3z = a

-x -y +z = b

2x +3y -2z =c

2) Since the solution has already been given ( -1,2,-3) all that's left to do, is to plug it into each equation so that we can find a, b and c. Just like this:

x +2y - 3z = a ⇒ (-1) +2(2) -3(-3) = a ∴ a = 4

-x -y +z = b ⇒ -(-1) -(2) +(-3) = b ∴ b = 0

2x +3y -2z =c ⇒ 2(-1) +3(2) -2 (-3)=c ∴ c = -2

3) Hence, **a = 4 b = 0 and c = -2**

Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1)a. -33b. -36c. -63d. -69

Given:

[tex]a_n=3-6(n-1)[/tex]Find-: 12th term of the sequence is

Sol:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \end{gathered}[/tex]Where,

[tex]\begin{gathered} n=\text{ term.} \\ \\ n=12 \end{gathered}[/tex]Put the value then:

[tex]\begin{gathered} a_n=3-6(n-1) \\ \\ n=12 \\ \\ a_{12}=3-6(12-1) \\ \\ a_{12}=3-6(11) \\ \\ a_{12}=3-(6\times11) \\ \\ a_{12}=3-66 \\ \\ a_{12}=-63 \end{gathered}[/tex]So 12th term is -63

**Answer:**

**-63**

**Step-by-step explanation:**

Can someone help with 16,17 and 18 ! thank you !

In questions 16, 17 and 18 we have a right triangle and in the three cases you know the measues for 2 sides, except for hipotenuse.

We can use the following relation to solve the problem:

[tex]tg(x)=\frac{\text{Opposite side}}{Adjacent\text{ side}}[/tex]16)

[tex]\begin{gathered} tg(x)=\frac{\text{1}7}{7}=2.4285 \\ tg(x)=2.4285 \\ x=tg^{-1}(2.4285) \\ x=68\degree \end{gathered}[/tex]17)

[tex]\begin{gathered} tg(x)=\frac{8}{10}=0.8 \\ x=tg^{-1}(0.8) \\ x=39\degree \end{gathered}[/tex]18)

[tex]\begin{gathered} tg(x)=\frac{\text{1}1}{8}=1.375 \\ x=tg^{-1}(1.375) \\ x=54\degree \end{gathered}[/tex]Write an equation to represent , the balance in an account after years, with an initial investment of $1,000 with an interest rate of 3%, compounded each year.

The **balance** in the account after years of compound interest arrangement can be represented by the equation; Balance = 1,000 (1.03)^n.

It follows from the task content that the equation which represents the **balance** in the account after years is required to be determined.

It follows that the **principal** **amount** is; $1,000 while the **interest rate** is; 3%.

This indicates that after each year, the new balance is 103% of the preceding balance.

Hence, the **exponential** equation which correctly represents the balance at any point in time is;

Balance = 1,000 (1.03)^n.

Where **n** = number of years after.

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Premises:

If I'm a student, then I go to school. If I go to school, then I learn.

Conclusion:

If I'm a student, then I learn.

This is an example of the Law of

?

**Answer:**

it's wh question I think

Given that Kelsey has already made 10 pendants how many additional pendants must she make and sell to make a profit of 50 dollars?

Part a: **Kelsey** should make 36 **pendants**

Part b: Kelsey needs to make 26 **more** pendants

Rent of the **booth** at the **craft** fair = $200

The **material** cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: **Kelsey** makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each **pendant** cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an **inequality** to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

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what is the reciprocal for the fraction 5/7 ?

we know that

The reciprocal of a number is: 1 divided by the number

If you multiply a number by the reciprocal, the result is 1

so

we have

5/7

so

the reciprocal is 7/5

Verify

(5/7)(7/5)=1 -----> is ok

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13.3 years, and standard deviation of 1.1 years.If you randomly purchase one item, what is the probability it will last longer than 10 years?Use the normal table and round answer to four decimal places

We want to find the following probability:

[tex]P(X>10)[/tex]where X is a normal random variable with mean 13.3 and standard deviation 1.1. To find this probability let's normalize the random variable; to do this we use the z-score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]Then, in this case, we have:

[tex]P(X>10)=P(z>\frac{10-13.3}{1.1})=P(z>-3)[/tex]Using the standard normal table, we have:

[tex]P(X\gt10)=P(z\gt(10-13.3)\/1.1)=P(z\gt-3)=0.9987[/tex]**Therefore, the probability of purchasing an item with a lifespan greater than 10 years is 0.9987**

A cooking for the nursing home is preparing 100 yeast rolls for dinner the dry ingredients needed include 14 1/8 cups of flour 6 3/8 cups of sugar and 3/8 cups of salt how many cups of dry ingredients are in this recipe

Answer:[tex]20\frac{7}{8}cups\text{ or 19}\frac{15}{8}\text{of dry ingredients}[/tex]Explanations:

**Given** the following ingredients

Cups of flour = 14 1/8 = 113/8 cups

Cups of sugar = 6 3/8 cups = 51/8 cups

Cups of salts = 3/8 cups

Calculate the** total cups of dry ingredients**

**Find the LCM**

Therefore there are **19 15/8 cups **of **dry ingredients** in this recipe

Does our data provide enough evidence to prove that New York police are racially biased (in terms of use of force)? Why or why not?

We want to proof for this case if there is enough evidence to conclude that the New York police are racially biased in terms of force

From the info given is possible to see that the proportion with High level of force used is higher for Black people compared to White people. A difference of 6.3-5.8% = 0.5%.

In the other hand, we can see that for the Hands up force level, there is a significant difference between the two proportions, higher for Black compared to White with a difference of 15.1-9.7%= 5.4%

And finally when we analyze the case for No force used, we can see that there is a higher percentage for White (84.4%) compared to Black (78.7%) with a difference of 5.7%.

Based on this results we can conclude that in general the New York police is partially biased since is possible to see that for any level of force used the records are in favor of the White people.

Find the perimeter and area of

the figure if each unit on the

graph measures 1 centimeter.

Round answers to the nearest

tenth, if necessary.

A(2, 1)

B(8, 6).

C(10, 1)

The figure's **perimeter** and **area** would be as follows.

Perimeter = 21.19 cm

Area = 25.501 cm²

What isA Cartesian **coordinate** **system** in some kind of a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates, which are the signed distances from two fixed perpendicular lines that are aligned to the point and are both measured in the same length.

point of the **coordinates** are as follows:

A(2, 1)

B(8, 6).

C(10, 1)

We know that the formula for finding for the **distance** is:

d=√((x2 – x1)² + (y2 – y1)²).

For Point AB:

X₁ = 2

Y₁ = 1

X₂ = 8

Y₂ = 6

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((8 – 2)² + (6 – 1)²).

d=√((6)² + (5)²).

d=√(36 + 25).

d=√(61).

AB =7.81

For Point BC:

X₁ = 8

Y₁ = 6

X₂ = 10

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((10 – 8)² + (1 – 6)²).

d=√((2)² + (-5)²).

d=√(4 + 25).

d=√(29).

BC = 5.38

For Point CA:

X₁ = 10

Y₁ = 1

X₂ = 2

Y₂ = 1

putting the values onto formula we get:

d=√((x2 – x1)² + (y2 – y1)²).

d=√((2 – 10)² + (1 – 1)²).

d=√((-8)² + (0)²).

d=√(64 + 0).

CA = 8

The **perimeter** of the given figure is:

Sum of all the sides.

AB + BC + CA

7.81 + 5.38 + 8

21.19 cm

Now finding the **area** of the tringle we use **Pythagoras** **formula**:

H² = P² + B²

P² = H² - B²

P² = (7.81)² - (5.38)²

P = 9.4837

We know that the area of the triangle is: = 1/2(base * Hight).

= 1/2(5.38 * 9.48)

= 25.501 cm²

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1) Consider the ratio table below that compare hours worked to money earned for an employee at a pizza restaurant. Hours Worked 4 12 16 ? Money Earned 36 ? 76 108 144 270 a. How much money would an employee earn for working 8 hours? b. How many hours did a person work if they earned $270? c. Find the ratio associated with the table above (in simplest form). d. If you extend the ratio table, how much money will be earned if an employee works 24 hours? dollars they can amount of time

The **ratio table** can be used to find the amount earned and the **number** of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

What is a ratio table?A ratio table is one that **shows** the **constant **relationship between the value** pairs** on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The **amount** a **person** will **earn** if he or she works for 8 hours

Solution;

Let *x *represent the hours worked, and let *y *represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, *y *for working 8 hours, *x *is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio **associated** with the table in the **simplest form** is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

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I really need help with number 5

**Given:**

**Required:**

To find the distance from point B to line AC.

**Explanation:**

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

**Final Answer:**

The distance from point B to line AC is 4.3.

solve for the following right triangle upper a and h

we have that

[tex]undefined[/tex]the probability of a 4 child family having 4 girls is 0.5. is it true or false

Consider the phase space that consists of elements of the form (boy, boy, boy, boy), (girl, boy, boy, boy),...,(girl, girl, girl, girl).

There is a total of 2*2*2*2=2^4=16 possible combinations and each of them has the same probability to happen. Only one element is the case we are interested in (girl, girl, girl, girl).

Therefore, the probability of a family having 4 girls is

[tex]P(girl,girl,girl,girl)=\frac{1}{16}=0.0625[/tex]

**The answer is false, the probability is 0.0625**

which situation can be represented by this inequality1.25x -6.50 > 50 A. Caleb has a balance of 6.50$ in his savings account and deposits 1.25$ each week. What is X the number of weeks must deposit 1.25$ in order to have a balance of more than 50$ in his savings account?B. Caleb earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of 6.50$. What is X the balance that Caleb must have in his checking account in order to have an ending balance greater than 50$ after interest and fees.C. Caleb charges 1.25$ for gasoline plus 6.50$ per hour for mowing lawns. What is X the number of hours he has to mow lawns to earn more than 50$D. Caleb spends 6.50$ on supplies for a lemonade stand and sells each cup of lemonade for 1.25$. what is X the number of cups of lemonade Caleb must sell to earn profit of more than 50$

We need to find a situation that can be represented by the inequality below:

[tex]1.25\cdot x-6.5>50[/tex]This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the **option D**.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

Which relation IS a function?

**Answer: B. **

**Step-by-step explanation: A function relates an input to an output.**

The **relation **which is a **function **is: function 1.

Option **A** is correct.

A function is an expression, rule, or law in mathematics that describes a **relationship **between one variable (the **independent** variable) and another variable (the **dependent **variable).

A relation is a function when each input have only one output.

Function 1 have **one output** to each corresponding **output**.

Function 2 have **two **output for input x= 2.

Function 3 have **two** output for input x= 3.

Function 4 have **two **output for input x= 1.

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8 - 5(3 + 2x)I need help

8 - 5(3 + 2x)

open the parenthesis

8 - 15 - 10x

-7 -10x

18 is how many times more then 6

**Answer: 3 times more**

**Step-by-step explanation:**

Fin tends to exaggerate. He says if he stacked all the quarters he's ever spent on gumball machines, they would reach to the moon. The distance to the moon is about [tex]3.85 \times {10}^{8} [/tex]m and the width of a quarter is about[tex]1.75 \times {10}^{ - 3} [/tex]m. If Fin's claim were true, how many quarters has he spent on gumball machines?

For this problem we were given the distance to the moon and the width of a quarter in meters. We need to determine how many quarters we would need to stack in order to reach the moon.

In order to solve this problem, we need to divide the distance from the surface of the Earth to the moon by the width of each quarter. Notice that both numbers are presented in scientific notations, therefore we need to divide the coefficients and subtract the exponents. This is done below:

[tex]\begin{gathered} n=\frac{3.85\cdot10^8}{1.75\cdot10^{-3}} \\ n=2.2\cdot10^{8-(-3)} \\ n=2.2\cdot10^{8+3} \\ b=2.2\cdot10^{11} \end{gathered}[/tex]**If Fin's claim were true, he'd need to stack a total of 2.2*10^11 quarters.**

What is the measure

[tex]m\angle CAB\text{ = 36.87}[/tex]

Here, we want to get the measure of the angle marked A

We are going to use the sides given

The trigonometric ratio that links the adjacent to the hypotenuse is the cosine

The cosine is the ratio of the adjacent to the hypotenuse

Mathematically;

[tex]\begin{gathered} \cos \text{ m}\angle CAB\text{ = }\frac{12}{15} \\ \\ m\angle CAB\text{ = }\cos ^{-1}(\frac{12}{15}) \\ \\ m\angle CAB\text{ = 36.87} \end{gathered}[/tex]Jordan looks at the line plot. He says the difference between the most capacity and the least capacity is 1/4 gallon. He says he knows the difference without subtracting. Explain Jordan’s mistake and find actual difference between measurements.

In a line plot the maximum value is the rightmost mark in the line plot; in this case the maximum capacity is 2 1/2. On the other hand the minimum value is the leftmost mark in the line plot, here the minimum is 1 1/2. Let's calculate the difference between them:

[tex]2\frac{1}{2}-1\frac{1}{2}=1[/tex]**Therefore, the difference between the maxiimum and minimum capacity is 1.**

Complete the vertical algorithm to evaluate the product.Please see image below

Solution

Complete the vertical algorithm to evaluate the product:

**Therefore the product of the expression is**

27 is The same as the product of four and a number￼

Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

(1 point) The expression 64g4y2 64gy2 equals kg"ys where r, the exponent of g, is: and s, the exponent of y, is: and k, the leading coefficient is:
pls helpim grade 6Math plsss help me ill give you 10 points
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