1.
Identify the hypothesis and conclusion of this conditional statement:

If two lines intersect at right angles, then the two lines are perpendicular.

Hypothesis: The two lines are not perpendicular.
Conclusion: Two lines intersect at right angles.

Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are not perpendicular.

Hypothesis: The two lines are perpendicular.
Conclusion: Two lines intersect at right angles.

Hypothesis: Two lines intersect at right angles.
Conclusion: The two lines are perpendicular.

Answer:

We need 4/5 cups of oil

Step-by-step explanation:

We can use ratios to solve.  Put the amount of oil over the number of batches

2/3  cup          x cups                    

---------------- = --------------

2.5 batches      3 batches

Using cross products

2/3 * 3 = 2.5 *x

2 = 2.5 x

Divide each side by 2.5

2/2.5 = 2.5x/2.5

.8 =x

Changing this back to a fraction

4/5 =x

We need 4/5 cups of oil

Answer: Option A

[tex]A=0.001[/tex]

Step-by-step explanation:

The sinusoidal functions have the following form

[tex]Y = Asin (bx)[/tex]

Where

[tex]\frac{2\pi}{b}[/tex] is the period of the function

A is the amplitude: Half the difference between the minimum value and the maximum value of the function.

In this case the function is:

[tex]y = 0.001sin(880\pi\phi)[/tex]

Therefore the amplitude of this equation is [tex]A=0.001[/tex]

Answer:

c

Step-by-step explanation:

Answer:

William is 18, Monica is 6... 6 x 3=18 Three times as old.. in 6 years William will be 24, Monica will be 12.. Twice as old... 12 x 2= 24

Step-by-step explanation:

Answer:

Current age of Monica=6 years

and current age of William=18 years

Step-by-step explanation:

Let Monica's current age be x years and William's current age be y years.

William is 3 times elder than Monica.

⇒  y=3x

In 6 years William will be twice as old as Monica.

⇒ y+6=2(x+6)

⇒ y+6=2x+12

⇒3x+6=2x+12

⇒ x=6

Hence, y=3×6=18

That means, current age of Monica=6 years

and current age of William=18 years

Answer:

m∠A = 42°

Step-by-step explanation:

* Lets revise some facts in the circle

- If the vertex of an angle on the circle and the two sides of the

 angle are chords in the circle, then this angle is called

 an inscribed angle

- Each inscribed angle subtended by the opposite arc, the arc name

 is the starting point and the ending point of the angle

# Ex: ∠CAB is subtended by arc CB

- There is a relation between the inscribed angle and its

  subtended arc, the measure of the inscribed angle equals half

  the measure of its subtended arc

* Now lets solve the problem

- ∠CAB is an inscribed angle subtended by arc CB

∴ m∠CAB = (1/2) measure of arc CB

∵ The measure of arc CB = 84°

∴ The measure of ∠A = 1/2 × 84° = 42°

* m∠A = 42°

Answer:

600 cocoa beans

Step-by-step explanation:

because pounds and lb is that same thing and for 3 pounds of chocolate, you need 600 cocoa beans

200 cocoa beans makes 1 pound of chocolate.

Since,

1 multiplied to 3 is 3.

So,

200x3 cocoa beans make 1 pound of chocolate.

=600 cocoa beans

Therefore 600 cocoa beans make 3 pounds of chocolate.

Answer:

The glue stick with 3/8

Step-by-step explanation: if you make the denominators for both equations the same 1/5 would turn into 8/40 and 3/8 would turn into 15/40. This means that 3/8 would be 7% bigger  

The second glue stick has [tex]\( \frac{7}{40} \)[/tex] more glue than the first glue stick.

To compare the amount of glue left in each glue stick, we need to find a common denominator for [tex]\( \frac{1}{5} \)[/tex] and [tex]\( \frac{3}{8} \)[/tex].

The least common denominator (LCD) for 5 and 8 is 40.

Now, let's rewrite [tex]\( \frac{1}{5} \)[/tex] and [tex]\( \frac{3}{8} \)[/tex] with the common denominator of 40:

[tex]\[ \frac{1}{5} = \frac{1 \times 8}{5 \times 8} = \frac{8}{40} \]\[ \frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40} \][/tex]

Now, we can compare the amounts:

- Glue stick 1: [tex]\( \frac{8}{40} \)[/tex] left.

- Glue stick 2: [tex]\( \frac{15}{40} \)[/tex] left.

Since [tex]\( \frac{15}{40} \)[/tex]is greater than [tex]\( \frac{8}{40} \)[/tex], the second glue stick has more glue left.

Alternatively, we can also subtract the fractions to find the difference:

[tex]\[ \frac{15}{40} - \frac{8}{40} = \frac{15 - 8}{40} = \frac{7}{40} \][/tex]

90 is 50% of 180

50% = half

90 • 2 = 180

The expression is 180 is 50 percent of 90

From the question, we have the following parameters that can be used in our computation:

90 is 50 percent of what number

Represent the percentage with x

So, we have

90 is 50 percent of x

Mathematically, we have

50% * x = 90

So, we have

x = 90/50%

Express percentage as decimal

x = 90/0.50

Evaluate the expression

x = 180

Hence, the number in the percentage is 180

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Seems like you had your minus signs backwards. Try y = 3 and y = -6

Create equivalent fractions:

23/x = 40/17

Cross multiply and divide:

x = 9.8

Answer:

y = 7/5x + 18/5

Step-by-step explanation:

so we have y = mx + b

f(1) = 5

f(-4) = -2

so let's find b

so like if you do (5 - (-2))/(1 - (-4)) you get (5 + 2)/(1 + 4) = 7/5

y = 7/5x + b

so now we can plug in a value like f(1) = 5

5 = (7/5)1 + b

b = 18/5

Answer:

Step-by-step explanation:

we know that

in a right triangle

if sin A= cos B

then

angle A and angle B are complementary angles

so A+B=90

therefore

(7x-15)+(3x+5)=90-----> 10x-10=90----> 10x=100----> x=10°

so

7x-15------> 7*10-15----> 55°

3x+5------> 3*10+5----> 35°

we know that

β < α

therefore

the answer is

β =35°

α=55°

Answer:

34

Step-by-step explanation:

Thats the answer o usatest prep

[tex]\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\ \cline{1-1} A=8\\ h=4 \end{cases}\implies 8=\cfrac{1}{2}b(4)\implies 8=2b\implies \cfrac{8}{2}=b\implies 4=b[/tex]

To find the length of the base of a triangle with an area of 8 square feet and a height of 4 feet, you rearrange the formula for the area of a triangle and solve for the base, resulting in a base length of 4 feet.

The question asks for the length of the base of a triangle given that the area is 8 square feet and the height is 4 feet. To find the base of the triangle, we can rearrange the formula for the area of a triangle, which is A = (1/2) * base * height. Substituting in the given values and solving for the base, we get:

Base = (2 * Area) / Height

Next, we replace the values for Area and Height:

Base = (2 * 8 sq ft) / 4 ft

Base = 16 sq ft / 4 ft

Base = 4 feet

Therefore, the length of the base of the triangle is 4 feet.

Answer:

[tex]P =0.857[/tex]

Step-by-step explanation:

We know that 60% of students have an iPad and a car and 70% have a car.

If we call A the event "have an iPad" and call the event B "have a car"

So

[tex]P (A\ and\ B) = 0.6\\\\P(B) = 0.7[/tex]

We look for the probability that a student with a car also has an iPad. This is

[tex]P (A | B) = \frac{P(A\ and\ B)}{P(B)}\\\\P (A | B) = \frac{0.6}{0.7}\\\\P (A | B) = 0.857[/tex]

Answer:

86%

Step-by-step explanation:

To solve this problem you need to use the formula for conditional probability.  

P(Ipod|Car) = P(Car and Ipod)P(Car).

P(a student with a car also has an iPod) = 0.6/0.7 = 0.857 = 86%

9/30 cubic feet

Multiply the base area times the height to find the volume, which is the amount of packing material required.

First, multiply the numerators, or the top numbers. 9 * 1 = 9

Then, multiply the denominators, or the bottom numbers. 10 * 3 = 30

So, the amount of packing material required is 9/30 cubic feet.

ANSWER

[tex]\cos( \theta) = - \frac{5\sqrt{61}}{ 61 } [/tex]

EXPLANATION

The given point is (-5,-6).

This implies that ,

[tex] \tan( \theta) = \frac{6}{5} [/tex]

Hence opposite=6 units and adjacent=5 units.

The hypotenuse is,

[tex] = \sqrt{ {5}^{2} + {6}^{2} } = \sqrt{61} [/tex]

Since the terminal side is in the third quadrant, the cosine ratio is negative.

[tex] \cos( \theta) = - \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos( \theta) = - \frac{5}{ \sqrt{61} } [/tex]

Rationalize the denominator,

[tex]\cos( \theta) = - \frac{5\sqrt{61}}{ 61 } [/tex]

The correct choice is C.

Let's talk about what we do know, before we answer the question.

Probability =  (1/2)^5 x (1/2) = 1/64 or 1.5625%, which rounds to -

1.6% [C] <----------

Final answer:

The probability of tails coming up on the 6th flip of a coin is calculated as (0.5)^6, which equals 0.015625 or 1.6% after rounding to the nearest tenth of a percent.

Explanation:

To calculate the probability of tails coming up on the 6th flip of a coin, we must first understand that each flip of a fair coin is an independent event with two possible outcomes: heads or tails. The probability for each of these outcomes on a single flip is 50% or 0.5. In order for tails to come up on the 6th flip specifically, we need to have five heads before that. The probability of getting heads five times in a row is (0.5)^5, and then we multiply this by 0.5 again for the probability of the 6th flip being tails. Hence, the calculation is (0.5)^6.
(0.5)^6 = 0.015625, which is the same as 1.5625%. Rounding this to the nearest tenth of a percent, the probability of tails coming up on the 6th flip is 1.6%, which corresponds to option C.

Answer:

6.476

Step-by-step explanation:

use a calculator or just subtract

Answer:

6.476

Step-by-step explanation:

Should the answer need to be rounded to a given place value, proceed accordingly

Answer:

A. Cafeteria plan

Step-by-step explanation:

Heidi's employer offers paid vacations and health and life insurance as well as a 401(k) but she is only participating in the 401(k) plan.

This is a part of Cafeteria plan.

A Cafeteria Plan is a reimbursement plan that allows the employees to contribute some amount of their gross income to a designated account before taxes are calculated.

Answer:

1. C.

2. B.

3. Add 6.1 to both sides

Step-by-step explanation:

1. Your equation here is "w + 2 < -1"

You must get w by itself, so to do that, subtract 2 from both sides.

w + 2 < -1

w < -3

Notice that the symbol is "w is less than -3" not "w is less than or equal to -3," so our plot must have a closed circle (or no open circle).

The larger the number behind the negative sign, the smaller it is.

ex: -3 is smaller than -1

So, the answer is C.

2. Here, you have the inequality -15 > q - 5

To find out which number set best fits the inequality, substitute the numbers in for the q value.

[I'll skip to answer B.]

B.'s number set is {-11, -12, -14}

So, plug in each value for q

For -11:

-15 > (-11) - 5

-15 > -16

This works.

(As I mentioned earlier, the larger the number in front of the negative, the smaller it is.)

For -12:

-15 > (-12) - 5

-15 > -17

This works as well

For -14:

-15 > (-14) - 5

-15 > -19

This works too

Thus, the answer is B.

3. And finally, you have the equation p - 6.1 = 10

To solve for p, make sure its alone on one side of the equation.

To do this, add 6.1 to both sides.

This is the first (and pretty much only) step to solve this equation

I hope this helps!!! :)

Answer:  D. A pentagon

According given statement Ragan drew pentagon. Therefore, option D is the correct answer.

A pentagon is a five-sided polygon with five straight sides and five angles. It is a regular polygon, meaning all of its sides are equal in length and all of its angles are equal in measure.

Given that, Ragan drew a polygon with more than a square and fewer vertices than a hexagon.

We know that, square has 4 sides and a hexagon has 6 sides.

According to statement, Ragan drew pentagon.

Therefore, option D is the correct answer.

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Answer:

*Fifty percent of the people who subscribed to Tech Monthly bought a 1-year subscription.

*Twenty-six percent of all the magazine subscriptions sold were for Teen Charm.

Step-by-step explanation:

We have to examine each statement against the data provided in the data table to see if it's a supported statement or no.

*A total of 120 magazine subscriptions were sold.

FALSE. 200 were sold (adding up all 1-yr and 2-yrs subscriptions)

*Fifty percent of the people who subscribed to Tech Monthly bought a 1-year subscription.

TRUE. 22 bought the 1-yr subscription, and 22 bought the 2-yr subscription

*Twenty-six percent of all the magazine subscriptions sold were for Teen Charm.

TRUE.  total subscriptions were 200 as seen above, and 52 were for Teen Charm... so 52/200 = 26%

*Of all the magazine subscriptions sold, 66 2/3% were 2-year subscriptions.

FALSE.  80 2-yr subscriptions were sold, out of 200... so 80/200 = 40%

*More subscriptions were sold to True Sports than any other magazine.

FALSE  48 subscriptions sold to True Sports... while 52 to Teen Charm.

Answer:

*Fifty percent of the people who subscribed to Tech Monthly bought a 1-year subscription.

*Twenty-six percent of all the magazine subscriptions sold were for Teen Charm.

Step-by-step explanation:

Answer:

Step-by-step explanation:

g(x) = x^2 - x

g(2/3) = (2/3)^2 - 2\3 = 4/9 - 2/3 = 4/9 - 6/9 = -2/9

Answer:

-2/9

Step-by-step explanation:

g(x) = x² - x

Substitute x = 2/3 into g(x).

g(2/3)

= (2/3)²  - (2/3)

= 4/9 - 2/3

= 4/9 - 6/9

= -2/9

Distributed property because this property allows u two put 4r+2r because this equation is also (4xr)+(2xr) since they have the same variable u can put them together 4+2 is 6 and then just multiply by r so it’s 6r. And let’s not forget about 3s it doesn’t have the same variable so you can do 6r+3s which is what u got and is the correct answer 6r+3s is simplified but it’s the same as 4r+3s+2r

The first set of numbers are in standard form while the other is in scientific notation.

Scientific Notation is a process in which makes a long numbered number into a shorter version.

To make a number scientific notation, you must put the first number between 0-10.    

The problem would be 6.7 x 10^-4 - 2.3 x 10^5. The answer would be 4.4 x 10^1. First you have to know what to do with the powers. You subtract them because it is a subtraction problem. Then you subtract the numbers and then you have the answer.

Answer:

4.4 x 10^1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1*1=1

Answer:

Step-by-step explanation:

An Irrational Number is a real number that cannot be written as a simple fraction. Irrational means not Rational.

and in order to get irrational number product equal to one

we shall multiply by its reciprocal for example

[tex]\sqrt{2}[/tex] is an irrational number

in order to get the product equal 1 we shall multiply it by [tex]\frac{1}{\sqrt{2} }[/tex]

[tex]\sqrt{2} X\frac{1}{\sqrt{2} } =1[/tex]

Answer:

-4 < x ≤ 8

Step-by-step explanation:

-4 is less than x translates to ...

-4 < x

x is less than or equal to 8 translates to ...

x ≤ 8

You want x in the middle of your compound inequality. All you need to do is write these using x only once:

-4 < x ≤ 8

The Correct statements are

B.⇒The circumcenter of triangle is the point where perpendicular bisector of sides meet.

Because three sides of triangle acts as a chord of the circle,and perpendicular bisector of chords intersects at the center of the circle.

C:⇒ Give any three non collinear points , there exist only one circle that passes through all the three points.

Join these points you will get two line segment .Draw perpendicular bisector of these segments.The point where these perpendicular bisectors meet is center of the circle.

E:⇒ The incenter of triangle is the point where internal bisector of angles meet.

Internal bisector of angle divide angle into two equal parts.The three line segements which is bisector of three angles meet at a point called Incenter of triangle.  

The correct statements are: 1. The capital of France is Paris. 2. The United States has 50 states. 3. The Great Wall of China is the largest man-made structure.

The correct statements are:

1. The capital of France is Paris.

2. The United States has 50 states.

3. The Great Wall of China is the largest man-made structure.

These are the correct statements from the options provided.

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Answer is A because when you work it out the area is 110.500 and rounding it makes it -

Answer:

y > -1/3x - 1

Step-by-step explanation:

The inequality is a linear inequality whose equation can be written using a form similar to y = mx + b. Remember m is the slope and b is the y-intercept. Here the line crosses the y-axis at b = -1. And it has as a slope m = -1/3. The equation is then y = -1/3x - 1. Since this is an inequality with a dashed line then the symbols <,> must replace the =. There are two options:

y < -1/3x - 1 and y > -1/3x - 1

Test the point (0,0) which is in the solution set to determine which equation holds true.

0 < -1 and 0 > -1

The first is false and the second is true. The correct equation is y > -1/3x - 1