Mathematics High School

Help please 10 points

Answers

Answer 1

For the given statement conclusion it was drawn using the law of syllogism.

Option A is our correct answer

What is the law of syllogism?

The Law of Syllogism states that,

If the following two statements are true:

- If p, then q.

- If q, then r.

Then the third statement is true:

- If p, then r.

We have,

p - If you do the unit review, q - you will do well on the test.

q - If you do well on the test, r - then you will do well in the course.

Therefore, p - if you do the unit review, r - then you will do well in the course.

This is in the form of:

- If p, then q.

- If q, then r.

Then the third statement is true:

- If p, then r.

Thus this conclusion was drawn using the law of syllogism.

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Related Questions

Multi-step k is the midpoint of _ jl , jl = 4x - 2, and jk = 7. find x, kl, and jl.

Answers

Answer:

K is the midpoint of JL, so it is halfway between J and L (see diagram). If JK is 7 units long, then so is KL. The length of the entire segment JL is 4x - 2, so

4x -2=14

Step-by-step explanation:

help im homschooled n nun of the teachers help

Answers

Answer:

Step-by-step explanation:

The results of a survey of customers at a pet supply store showed that 33 owned dogs, 42 owned parrots, and 20 owned both dogs and parrots. How many owned either a dog or a parrot?
of the customers surveyed, owned either a dog or a parrot
(Type an integer or a decimal.)

Answers

Based on the number of customers who owned parrots, dogs and parrots, and dogs, the number who owned either a dog or a parrot were 55 customers

How to find the number who owned either a dog or parrot?

The number of people who owned a parrot was 42. 33 people also owned a dog. Some of these people owned both a dog and a parrot and they numbered 20.

To find the number of customers who owned either a dog or a parrot, the formula is:
= Number of customers who owned a dog + Number of customers who owned a parrot - Number of customers who owned both a dog and parrot

= 33 + 42 - 20

= 75 - 20

= 55 customers

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What is the solution to the equation+=+
x=
10
0x = //
0x = 1/5/2
0x = 1/
Ο r
Calculator
2
?

Answers

The value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.

We are given the equation:

x² - 2 x + 5 = 2

We need to solve the equation to find the value of x.

For this, we will first subtract 2 from both the sides:

x² - 2 x + 5 - 2 = 2 - 2

x² - 2 x + 3 = 0

Now, we will solve for the value of x:

D = b² - 4 ac

D = (- 2)² - 4 (3)(1)

D = 4 - 12

D = - 8

√D = 2 i √2

Now putting it in quadratic formula, we get that:

x = (- b ± √D) / 2 a

x = (2 ± 2 i √2) / 2 (1)

x = 1 ± i √2

Therefore, the value of x in the equation x² - 2 x + 5 = 2 is 1 ± i √2.

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Your question is incomplete. Please refer the content below:

What is the solution to the equation for x:

x² - 2 x + 5 = 2

Are the ratios 4:10 and 3:4 equivalent?

Answers

Answer: No

Step-by-step explanation:

There are 6 circles and 3 squares. what is the simplest ratio of squares to circles? : attempt 1 out of 2 da'kyra jordan simplifying ratios (basic) sep 26, 7:01:57 pm there are 6 circles and 3 squares. what is the simplest ratio of squares to circles?

Answers

Given that there are 6 circles and 3 squares, the simplest ratio of squares to circles is 1 : 2 or 1 to 2 or 1/2.

Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.

It can be expressed in different ways:

1) Use the ":" to separate the values : a : b

2) Use the word "to" : a to b

3) Write it in fraction: a / b

If there are 6 circles and 3 squares. then the ratio of squares to circles can be written as:

3 : 6 or 3 to 6 or 3/6

To simplify the ratio, divide both numbers in the ratio by the same number until they cannot be divided any more.

Divide both number by 3.

3 : 6 = 1 : 2

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What is the side length of a square house with an area of 9 kilometers?

Answers

Answer:

Step-by-step explanation:

[tex]\mathrm{a = \sqrt{A} = \sqrt{9} = 3}[/tex]

Amari and ethan planned an end-of-season soccer party. they purchased 45 hot dogs and 30 individual bags of chips.

Answers

15 is the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

How to solve for the greatest number of people they can be without having any leftovers

Given data

45 hotdogs in 30 individual bags of chips

The greatest common factor of 45 and 30 is 15

using ratio

45 : 30

3 : 2

This means that one person will receive 3 hotdogs in 2 bags. Also 15 people will get the equal amount without left overs

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complete question

Amari and Ethan planned an end of season soccer party to purchase 45 hotdogs in 30 individual bags of chips which person will receive the same amount of food what is the greatest number of people they can be without having any leftovers

ILL GIVE 20 POINTS TO WHOEVER ANSWERS FIRST
I've been waiting for 2 hours

Which of the following numbers is irrational? (5 points)

negative 7 over 4 , 2 over 3 , square root of 3 , square root of 4

negative 7 over 4

2 over 3

square root of 3

square root of 4

Answers

The irrational number in this data-set is given by the square root of 3.

What are rational and irrational numbers?

Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, such as whole numbers, or numbers in which the decimal parts are terminating or repeating.Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots and also for the pi number.

In this problem, we have that:

7/4 and 2/3 are fractions, hence they are rational.The square root of 3 is a non-exact square root, hence it is irrational.The square root of 4 is a exact square root, hence it is rational.

Hence:

The irrational number in this data-set is given by the square root of 3.

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Simplify 5√12xm³
Assume x and m are nonnegative.
O 60√xm³
O 60m³√x
O 10m³√3x
O 10m√3xm

Answers

Answer:

[tex]\sf 10m\sqrt{3xm}[/tex]

Step-by-step explanation:

To simplify the expression, factorize 12. For every two items inside the square root, take one outside.

[tex]\sf 5\sqrt{12xm^3} = 5\sqrt{2*2*3*x*m*m*m}[/tex]

[tex]\sf = 5*2*m\sqrt{3xm}\\\\=10m\sqrt{3xm}[/tex]

Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).

Answers

[tex](\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})[/tex]

The first term of an arithmetic sequence is 10 and the common difference is 5. Find the value of the 30th term

Answers

Answer:

Step-by-step explanation:

First term of the sequence is 10 and common difference is 3.

= 10 and d = 3

Next term = a

+d=10+3=13

+d=13+3=16

Thus, first three terms of the sequence are 10, 13 and 16.

Let 100 be the nth term of the sequence.

+(n−1)d

100=10+(n−1)3

90=(n−1)3

n−1=30

n=31, which is a whole number.

Therefore, 100 is the 31

term of the sequence.

25, 8, 10, 35, 5, 45, 40, 30, 20 What is the median of the given data set?

Answers

Answer:

Step-by-step explanation:

Arrange numbers to ascending order :

5,8,10,20,25,30,35,40,45

Cross of the smallest and biggest number until you left with one in the middle

The loudness in decibels dB of a sound is defined as 10 log I/I₀ , where I is the intensity of the sound in watts per square meter (W / m²) . I₀ , the intensity of a barely audible sound, is equal to 10⁻¹²W/m². Town regulations require the loudness of construction work not to exceed 100 dB . Suppose a construction team is blasting rock for a roadway. One explosion has an intensity of 1.65x10²W/m² . Is this explosion in violation of town regulations?
a. Which physical value do you need to calculate to answer the question?

Answers

a) The explosion does violate the town regulation

b) The two physical quantities are the I(intensity of the sound) and

[tex]I_{o}[/tex] (detectable intensity)

The values that we have been given are

L = loudness of the sound = 10 log(I/[tex]I_{o}[/tex])

I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]

[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]

Putting the required value in the equation of the loudness we get

a) L = [tex]10 log(\frac{1.65*10^{2} }{10^{-12} } )\\[/tex]

L = 10 * 14.217 dB = 142.17 dB

And according to the town regulation the loudness of the construction work should not exceed 100dB.

Thus the explosion is in violation of the town regulation as it exceeds 100dB.

b) the two physical value we have to calculate are I which is intensity of the sound in watts per square meter and [tex]I_{o}[/tex] which is intensity of barely audible sound. The respective values are

I = intensity of the sound in watts per square meter = [tex]1.65 * 10^{2} W/m^{2}[/tex]

[tex]I_{o}[/tex] = intensity of barely audible sound = [tex]10^{-12} W/m^{2}[/tex]

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35° 91° 65° 28 What anglemeasures is this?

Answers

The angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

How to identify each of the angle measures?

The angle measures are given as:

35° 91° 65° 28°

As a general rule:

Angles that are less than 90 degrees are acute angles

This means that

The angles 35° 65° and 28° are acute angles

Also, we have

Angles that are between 90 degrees and 180 degrees are obtuse angles

This means that

The angle 91° is an obtuse angle

Hence, the angles 35° 65° and 28° are acute angles and the angle 91° is an obtuse angle

Answers

Technically, yes

You can think of ‘f’ as standing for ‘function’, which means the graph

So when you have f(x), it means ‘the value of the function at x’, which is always the y value because (x,y) is a point

So yes, f(x) and f(n) mean y

With f(a number) it means more specifically y at that number

So: f(6) means the value that y is a 6
So if f(6)=7 that would mean the point is (6,7) because when x is 6 y is 7

Your friend invested $1000 in an account that pays 6% annual interest. How much interest will your friend have after her college graduation in 4 years?

b. What equation should you use to model this situation?

Answers

The equation that suits the model is given as I = Prt and the interest the friend will have after her college graduation in 4 years will be $240

The formula to be used to is given as :

I = Prt (1)

where, I = simple interest

P = principal amount or amount initially deposited.

r = annual interest rate

t = time

According to the question we have been given that

P = $1000

r = 0.06

t = 4 years

Putting the required values in equation (1) we get

I = 1000*0.06*4

I = 240

hence the equation that suits the model is given as

I = Prt

and the interest the friend will have after her college graduation in 4 years will be $240

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Can I please have answers to this question

Answers

Answer:

6. Slope = 2

7. y-intercept = 5

8. Equation: y = 2x + 5

Step-by-step explanation:

Question 6

To find the slope of a line, define two points on the line:

(x₁, y₁) = (0, 5)(x₂, y₂) = (1, 7)

Substitute these values into the slope formula and solve for m:

[tex]\implies \textsf{slope}\:(m)=\dfrac{7-5}{1-0}= \dfrac{2}{1}=2[/tex]

Therefore, the slope of the graph is [tex]\boxed{2}[/tex].

Question 7

The y-intercept is the y-value of the point at which the line crosses the y-axis.

From inspection of the given graph, the y-intercept is [tex]\boxed{5}[/tex].

Question 8

Slope-intercept form of a linear equation:

[tex]y=mx+b[/tex]

Where:

m = slopeb = y-intercept

Substitute the found slope and found y-intercept into the formula to create an equation for the line:

[tex]\boxed{y=2x+5}[/tex]

Describe the difference between perfect square roots and non-perfect squares. Write at least two complete sentences.

Answers

Answer:

In this particular type of question we need to understand that perfect squares are the squares of the integers numbers and perfect square always end in 0,1,4,5,6,9.A perfect square number never ends with 2,3,7 or 8 .This is the first observation you will make to check if the number is a perfect square or not.

Step-by-step explanation:

I will answer that question with examples.

49 is a perfect square because 72=49
7
2
=
49
and 49 is a natural number.

7 is a square but not a perfect one because sqrt7 is an irrational number.

What is 16,504÷55. Using 2 digit divisors write the remainder as a fraction.

Answers

16504 divided by 55 equals

300+ 4/55.

First we know about -

Divisor: The number by which the dividend is divided.

Quotient: The result of division.

Remainder: The amount that is left over after division.

Rules for the Division -

1. Take the first digits of the dividend, the same number of digits that the divisor has. If the number taken from the dividend is smaller than the divisor, you need to take the next digit of the dividend.

2. Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient.

3. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it. If you cannot, because the dividend is smaller, you will have to choose a smaller number in the quotient until it can subtract.

4. After subtraction, drop the next digit of the dividend and repeat from step 2 until there are no more remaining numbers in the dividend.

0 0 3 0 0

5 5 ) 1 6 5 0 4

− 0

1 6

− 0

1 6 5

− 1 6 5

0 0

− 0

0 4

− 0

16504 divided by 55 equals

300 with a remainder of 4

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To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?

Answers

After pumping all of container A into container B there will remain empty space in B = 78.5 ft³

The percentage for this empty space is of the entire volume is = 3.4 %

What is volume of cylinder?

Volume of cylinder is calculated as;

v = π r² h

Since, Container A has a diameter of 18 feet and a height of 9 feet.

Then, Radius = 18/2 = 9 ft

Hence, Volume of Container A = π r² h

= 3.1416 * 9 * 9 * 9

= 2,290.22 ft³

Since, Container B has a diameter of 16 feet and a height of 11 feet.

Then, Radius = 16/2 = 8 ft

Hence, Volume of Container B = π r² h

= 3.1416 * 8 * 8 * 11

= 2,211.68 ft³

After pumping all of container A into container B there will remain empty space in B = 2,290.22 - 2,211.68 = 78.5 ft³

And, The percentage for this empty space is of the entire volume is,

78.5/2,290.22 = 0.03427 *100 = 3.4 %

So, After pumping all of container A into container B there will remain empty space in B = 78.5 ft³

The percentage for this empty space is of the entire volume is = 3.4 %

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Forty percent of all registered voters in a national election are female. A random sample of 5 voters is selected. The probability that the sample contains 2 female voters is.

Answers

The probability that the sample contains 2 female voters is 0.31104

Binomial distribution uses two values; n and p. n represent the counts of sample that are being collected. On the other hand, p represents the chances of being successful on any trial. Using the two values, the probabilities are computed for binomial distribution.

Probability that a random voter is female is 0.40(p).

Sampled voters are 6(n).

Let X be the number of females in the sampled voters.

Then,

X∼ Bin (n, p)

∼Bin (6,0.4)

Probability that the sample contains exactly 2 female voters is,

P (X =2) = 6C2 (0.4)2 (1−0.4)6−2

=0.31104

Therefore, the probability that the sample contains exactly 2 female voters is 0.31104

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The formula for the area A of a trapezoid
A = 1/2 (b + b,)h. Solve for b

Answers

[Mathematical Situation]

Solve for [tex]b_1[/tex]; [tex]A=\frac{1}{2} (b_{1} + b_2)h[/tex]

Solution:

[tex]b_1=\frac{2a}{h}-b_2[/tex]

Hope this helps!

A laptop has a listed price of $887.99 before tax. If the sales tax rate is 9.75%, find the total cost of the laptop with sales tax included.

Answers

The total cost of the laptop, including the sales tax, is $974.57.

How is the total cost determined?

The total cost of the laptop is the addition of the listed price and the sales tax (dollars).

The listed price refers to the retailer's (seller's) price before the addition of the sales tax.

After adding the sales tax to the listed price, the total cost is obtained.

Therefore, sales tax, which is a proportional tax, increases the cost of goods and services to consumers.

Data and Calculations:

Listed price before tax = $887.99

Sales tax rate = 9.75%

Total cost after tax = $974.57 ($887.99 x 1.0975)

Thus, the total cost of the laptop after factoring in the sales tax is $974.57.

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15. Given the following relation {(2, 1), (-4,5), (1,7), (2, -3), (-1,2)), determine if it is a function.

Answers

We get that the relation { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

We are given a relation as:

{ ( 2 , 1 ) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) }

We need to find that whether it is a function or not.

A relation is a set that shows a relationship between two values. A function is from a set X to a set Y assigns to each element of X exactly one element of Y.

Here, we can see that it is a function as one value of x only has one image in the set y.

Therefore, we get that the relation { ( 2 , 1) , ( - 4 , 5 ) , ( 1 , 7 ) , ( 2 , - 3 ) , ( - 1, 2 ) } is a function.

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A spherical water tank holds 9000 ft³ of water. What is the diameter of the tank? (Hint: (¹/₆ d³ π=V)

Answers

The diameter of the tank is 25.8 feet.

We are given the volume of water tank. Also, we are provided the formula relating volume and density.

Rewriting the formula -

V = 1/6×π×d³, where d represents the diameter. Taking the value of π as 3.14

Rewriting the formula according to diameter -

d³ = 6V/π

Keep the values in formula to find the value of diameter of water tank

d³ = 6×9000/3.14

Performing multiplication and division to find the value of diameter

d³ = 54000/3.14

Performing division to find the value of diameter of water tank

d³ = 17197.45

d = ∛17197.45

Taking square root to find the value of diameter of water tank

d = 25.8 feet

Hence, the diameter of tank is 25.8 feet.

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10x−y = 10
−2x+ 5y = −2

Answers

Answer:

x=1 & y=0

Step-by-step explanation:

40PTS. When you are getting dressed, you put your socks on first and then your shoes on second. But to undo this, you take your shoes off first and your socks off second. Why do you have to reverse the order? Use this scenario to help you explain why it is helpful to work backward when solving equations.

Answers

Jbeineineibei e h in

WARM UP: Graph the coordinates of the triangle in the coordinate plane. Multiply each coordinate by a scale factor of 3 (k=3). Then, graph the new triangle.

Answers

The two triangles are similar triangles and the graph of the triangles are attached

Graph the coordinates of the triangle in the coordinate plane.

The coordinates of the triangle are given as

A (0, 3), B (3, 3) and C (3, -1)

So, we enter the above coordinates in a graphing calculator

See attachment for the graph of the triangle

Multiply each coordinate by a scale factor of 3 (k=3).

Here, we have

A' 3 * (0, 3), B' 3 * (3, 3) and C' 3 * (3, -1)

This gives

A' (0, 9), B' (9, 9) and C' (9, -3)

Next, we enter the above coordinates in a graphing calculator

See attachment for the graph of the triangle

Answers

The entries that complete the blanks are 20.39, 20.78, 21.17 and 20 + 0.39n

How to determine the total amounts?

The given parameters are

Invitation = $20

Stamps = $0.39 per stamp

So, the total amount spent is calculated as

Total = Invitation + Stamps * Number stamps

This gives

Total = 20 + 0.39 * Number stamps

For stamps 1, 2, 3 and n, we have

Total = 20 + 0.39 * 1 = 20.39

Total = 20 + 0.39 * 2 = 20.78

Total = 20 + 0.39 * 3 = 21.17

Total = 20 + 0.39 n