40 points
What are the slope and the y-intercept of the linear function that is represented by the table?

x
y
Negative three-fourths
Negative StartFraction 1 Over 30 EndFraction
Negative one-half
Negative StartFraction 2 Over 15 EndFraction
One-fourth
Negative StartFraction 13 Over 30 EndFraction
Two-thirds
Negative three-fifths
The slope is Negative two-fifths, and the y-intercept is Negative one-third.
The slope is Negative one-third, and the y-intercept is Negative two-fifths.
The slope is One-third, and the y-intercept is Negative two-fifths.
The slope is Two-fifths, and the y-intercept is Negative one-third.

\((\frac{1}{2}\times\frac{2}{7})\times\frac{4}{3}=\frac{4}{21}\)

Answer:

i would say y=-2/3x

Step-by-step explanation:

Answer:

1. c, 2. b, 3. b

Step-by-step explanation:

1. 95 (congruent parts of congruent shapes are congruent) answer

2. 33 (same reason)

3. 4 (same)

Answer:

First Sheet: C) 95°

Second Sheet: B) 33°

Third Sheet: B) 4 units

Step-by-step explanation:

First Sheet:

Shape AKGP is the same as VWQX, meaning that the answers will be the same. Angle X is equal to angle P, meaning that the answer is 95°

Second Sheet:

Triangle SRT is equal to PQB. This means that angle Q is equal to angle R which means our answer is 33°

Third Sheet:

Since shape MQRN is equal to PKSD, we basically know the answer. The answer is 4 units because PK is equal to MQ.

Answer:

To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.

Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).

Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).

To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

First, find out how much stickers you can put on the long side:

12/3 = 4

Next, find out how much stickers you can put on the wide side:

8/2 = 4

Lastly, calculate them together:

4x4=16

So the answer is 16.

The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.

With that being said, here is the order of the numbers from smallest to largest:

4.38

4.5

4.6

4.9

Answer:

Here are the numbers ordered from closest to zero to farthest from zero:

4.38 (closest to zero)

4.5

-4.6

-4.9 (farthest from zero)

Step-by-step explanation:

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

Two triangular bases; three rectangular lateral faces.

Step-by-step explanation:

Since this is a triangular prism, it's a prism with triangles at the bases.  Prisms have two bases, so the triangles are numbered at two.  The lateral faces only serve to connect the bases, so there are three, since triangles have three sides.

Answer:

40%

Step-by-step explanation:

12/30=0.4 round then you get 40%

The percentage of students who thinks aliens exist is

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Total number of students in the class = 30

Number of students who think aliens exist = 12

Percentage of 12 in the number 30 can be found by dividing 12 by 30 and then multiply with 100.

Percentage = (12 / 30) × 100

                    = 0.4 × 100

                    = 40%

Hence 40% of students believe that the aliens exist.

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Answer:

Correct option is B) 9:16

Answer:

9:16

Step-by-step explanation:

B

Answer: The ratio is 18:3

Step-by-step explanation:

Answer:  6 to 1

Step-by-step explanation:

A ratio refers to a fraction. In this case the question asks how many players to coaches there are.

The word "to" means that is where the fraction bar goes.

Players/Coaches

There are 18 players and 3 coaches.

18/3

18 can be divided by 3, 6 times so the fraction can be simplified to

6/1 meaning there are 6 players for every coach.

Answer:

25

Step-by-step explanation:

4a +12 -2c + c

4( ) + 12 - 2( ) + ( )

4(4) + 12 - 2(3) + 3

16 + 12 - 6 + 3

28 - 6 + 3

22 + 3

25

Helping in the name of Jesus.

Therefore,  4a  +   12   -   2c   +   c  =   25

       a  =   4  

       c  =   3

        4a  +   12   -   2c   +   c

       (4)(4)  +  12  -     (2)(3)   +    3

         16     +   12   -   (2)(3)   +    3

         28      -            (2)(3)    +    3

         28     -   6     +     3

         22    +      3   =   25

Draw a conclusion:

     4a  +   12   -   2c   +   c   =  25

I hope this helps!

Answer:

first one=8

second one= -4

third one= -5a

Answer: 8 , -4 , -5a

To solve this linear equation, we can re arrange the numbers.

Q) (0.35 + 5.2) x = 27.75

Ans. x (0.35 + 5.2) = 27.75

        0.35x + 5.2x = 27.75

        5.55x = 27.75

        x = 27.75/5.55 = 5

        x = 5

Answer: t + 20 = 60; 40 minutes are spent answering phone calls.

Step-by-step explanation: We know that 20 minutes are spent out of a 60 minute day of volunteer work. So, with the equation, t + 20 = 60, we can solve to find out that 40 minutes are spent answering phone calls.

Answer:

D. x>7

Step-by-step explanation:

Multiply - and -3

x+3>10

Subtract 3 on both sides

x>7

(Remember you can only switch the symbol if you divide or multiply by negative it does not apply on addition or subtraction)

Hope this helps!

Answer:

It is D.

Step-by-step explanation:

Remove parentheses: x + 3 > 10

Subtract 3 from both sides: x > 10 - 3

Simplify 10 - 3 to 7: x > 7

Answer:

3/4

Step-by-step explanation:

Since (p, r) lies on the line y = x + b,

we have,

r = p + b -----eq(1)

Since (2p, 5r) lies on the line y = 2x + b,

we have,

5r = 2(2p) + b -----eq(2)

Sub the value of r from eq(1) in eq(2),

5(p + b) = 4p + b

⇒ 5p + 5b = 4p + b

⇒ 5b - b = 4p - 5p

⇒ 4b = -p

⇒ b = -p/4

sub in eq(1)

r = p + (-p/4)

= p - p/4

= 3p/4

⇒ r = 3p/4

⇒ r/p = 3/4

Answer:

3/4

Step-by-step explanation:

We have two lines:

r = p + b     eq(1)

5r = 4p + b   eq(2)

eq(2) - eq(1)

4r = 3p

dividing by 4p

r/p = 3/4

Answer:

Step-by-step explanation:

1. 3x + 2y - 2x + y + 12 is equivalent to x + 3y + 12

2. 4y + 3y + 3x - 6y - 10 - 2 is equivalent to 3x + y - 12

3. x + 3y + 2x - 3x + 7 + 5 is equivalent to 3y + 12

4. I do not know unfortunately

Answer:

See attached image

Step-by-step explanation:

To solve this, first simplify the compound expressions - the ones with multiple x, y terms and see which of the other expressions matches the simplified expression

I will tell you how to solve one of the more complex expressions; the technique is the same for the rest

Let's take the very last expression
4y + 3y + 3x - 6y -10 - 2

To simplify,

group like terms:

=(4y + 3y - 6y) + 3x +(-10 -2)

= y + 3x - 12

Rewriting with x before y gives
3x + y - 12

and there is a matching 3x + y - 12

4y + 3y + 3x - 6y -10 - 2   ⇔  3x + y - 12

The solution is in the attached image

Answer:

A) y = 10/5x

10 divided by 5 = 2

Step-by-step explanation:

I hope it helps ❤❤

Answer: B

Step-by-step explanation:

(I tried)

The formula for the area of a circle is A (area) = π (3.14) x R (radius) ^2 (second power)

Since the word problem gave the diameter, you can divide that by 2 to give you 9, aka the radius. (Radius + Radius = Diameter, diameter divided by 2 gives you radius)

Looking back at the formula, R^2 (it always comes first), 9^2 (9x9) equals 81 and then multiplying pi (3.14) to get your answer of 254.34 in.

Answer:

B. 254.34 in2

Step-by-step explanation:

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

156°

Explanation:

For this question use the formula "(n-2) x 180°" where n is the number of sides in a regular polygon, and divide the answer by the number of sides.

Like terms:2, and 7 Coefficent:5, constant:2 and 7

The total distances you traveled to reach your destination on each day of your three-day trip are as follows:

a) Day 1 = 40 miles

b) Day 2 = 30 miles

c) Day 3 = 11 miles.

The total distances are determined using proportions.

Proportion refers to the fractional value of the whole number or quantity.

a) Day 1:

The fractional distance traveled = ⁵/₈

The remaining distance to travel = 15 miles

15 miles = ³/₈ (1 - ⁵/₈)

Proportionately, the total distance = 40 miles (15 ÷ ³/₈)

b) Day 2:

The distance traveled = 18 miles

The remaining distance to travel = ²/₅

The distance traveled = ³/₅ (1 - ²/₅)

³/₅ = 18 miles

Proportionately, the total distance = 30 miles (18 ÷ ³/₅)

c) Day 3:

The distance traveled = ⁵/₁₁

The distance to travel = 6 miles

The distance to travel in fractions = ⁶/₁₁ (1 - ⁵/₁₁)

Proportionately, if 6 miles = ⁶/₁₁, the total distance = 11 miles (6 ÷ ⁶/₁₁)

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Based on the information, we can infer that celebrity quotes include percentages to give their words more credibility.

To identify the meaning of famous quotes we must read them carefully and identify the key words to know the deep meaning of these sentences. According to the above, the meaning would be:

The first means that geniuses work harder than people think because their genius is generally related to their creativity. However, he points out that it is 99% work.

The second means that to be successful you have to fail many times. In this case, it refers to the fact that success is made up of 99% of failed attempts and the 100th attempt is the one that is successful.

The third refers to the fact that if we do not try to carry out a challenging activity, we are losing 100% of the possibilities of achieving it. On the contrary, if we try at least we will learn to do it.

The fourth refers to the fact that sometimes people exceed their capacity to carry out an action and that extra 10% is what allows them to make a difference.

Note: This question is incomplete. Here is the complete information:

Attached image

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I’m pretty sure the answer should be 1,710 if not i’m sorry

Answer:

1710 fish

Step-by-step explanation:

Let the number of fish in the lake last year be 'x'

The equation becomes-
x + 15x/100=6210     (This is because 15% of x is added in x to become    
6210... hope you understand)

x + 15x/100 = 6210
115x/100 = 6210
23x/20 = 6210
x = 6210 * 20/23
x = 270 * 20
x = 5400

Therefore- The number of fish last year = 5400


Now, let the number of fish in the lake 2 years ago be 'y'

The equation becomes-
y + 20y/100 = 5400     (Same logic as last time)

y + 20y/100 = 5400
120y/100 = 5400
24y/20 = 5400
6y/5 = 5400
y = 5400 * 5/6
y = 900 * 5
y = 4500

Therefore- Fish in the lake two years ago = 4500 fish

Difference between current and two years ago = 6210-4500
                                                                               = 1710 fish

Hope you understood the answer and I hope it helps you :)