17. Callie's cat lost 4-pounds before having
surgery. Two weeks after having sungery, her
7
cat gained 25 pounds. What was the total
change in weight of Callie's cat?

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

Answer:

y=-28 and x=6

Step-by-step explanation:

y=-6x+8...... eqn(1)

7x+2y=-14.......eqn(2)

Two times equation (1)

2y=-12x+16..... eqn(3)

2y=-14-7x........ eqn (2)

eqn(3) - eqn(2)

0=-5x+30

5x=30

x=6

from eqn (1) where x=6

y=-6(6)+8

y= -36+8

y=-28

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

12.25

Step-by-step explanation:

3.5*3.5=12.25

Answer:

12.25m^2

Step-by-step explanation:

3 1/2 × 3 1/2

3 1/2 is equivalent to 7/2

7/2 × 7/2= 49/4

this simplifies to 12.25

answer: 12.25 m^2

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

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Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is:

= 4/7 or 0.57 cups.

Step-by-step explanation:

a) Data and Calculations:

Number of cups of seeds = 12 cups

Number of bird feeders = 3

Therefore, each bird feeder will get 12/3 = 4 cups per week

In a week, there are 7 days.

This implies that each bird feeder will get 4/7 cups

This is equivalent to 0.57 cups for each bird feeder per day.

b) Sarah will be putting 4/7 cups of seeds in each bird feeder.  When 4/7 is multiplied by 3 *7, we get a total of 12 cups, which represent the total number of cups of seed given initially to Sarah.

Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is: = 4/7 or 0.57 cups.

Step-by-step explanation:

Given:

Let 'l' and 'w' be the length and width of the swimming pool.

Length of the swimming pool is 31m

width of the swimming pool is 18m.

Answer:

Going from top to bottom

Box #1=0

Box #2= 3

Box #3=6

Step-by-step explanation:

For Box #3, it is 6 because we had to bring down the number. Box #1 is 0 because 7 can not go into 6, and Box #2 is 3 because it says

x-3=0 add 3 to both sides,

x=3

so Box #2 is 3

Hope this helps, feel free to ask any follow-up questions.

Answer:

0, 3, 6

To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.

The volume of the house can be found by multiplying the square footage by the ceiling height:

1,400 sq ft x 9 ft = 12,600 cubic feet

Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.

Answer:

Step-by-step explanation:

\(2(16-13)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(16-13\right)\::\quad 3\\\\=2\times\:3\\\\= 6\)

Twice the difference of sixteen minus 13 will be 6

The difference in math is the consequence of one of the significant numerical activities, which is acquired by taking away two numbers. It tells us by how much a number varies from the other. The point of finding the disparity in math is to tell the number of numbers that lie between the two given digits.

The equation which will be formed will be

= 2 (16 - 13)

= 2 * 3

= 6

After the equation was formed the answer will be 6.

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Answer:

221,760

Step-by-step explanation:

1. multiply 231,000 by 4

2. divide the answer by 100

3. subtract that answer from 231,000

4. This is the answer to the question

Answer:

f(b) = ab+ b

Step-by-step explanation:

Given f(x) = ax + b

To find f(b) plug b in for x.

f(b) = ab + b

Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation:

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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A probability tree is a visual representation of the possible outcomes of an event or series of events. In this case, the event takes a marble out of the bag.

The first step in building a probability tree is to create a starting point that represents the first state of the problem. In this case, the starting point is a bag containing 3 green marbles and 5 white marbles.

The next step is to branch from the starting point and show the possible results of the first event. This includes taking out  the marble out of the bag. The probability of getting a green marble is 3/8 and the probability of getting a white marble is 5/8.

After the first event, the issue status changes. In this case, the bag contains 2 green marbles and 4 white marbles.

The next step is to branch out from the state after the first event and show the possible outcomes of his second event involving pulling another marble out of his pocket. The probability of getting a green marble is 2/6 and the probability of getting a white marble is 4/6. The final step is to label the endpoints of the tree with the possible outcomes of the problem and the probabilities of each outcome.

The probability tree starts with an sack of 3 green marbles and 5 white marbles, as shown in the design showing the possible outcomes of selecting a marble, the new state of the sack after each selection, and the probability of each outcome

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Answer:

25 days

Step-by-step explanation:

200/8 = 25

25 days

Answer:

25 days

Step-by-step explanation:

You would take 200 ÷ 8 to get the amount of days it took her to make the frogs, which is 25 days because 8 × 25 = 200.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

If you plot the points on the graph, you notice that the run (change in x) is 3 for each "rise" (change in y) of -1, so the slope is ...

  m = rise/run = -1/3

The middle point is on the y-axis, so is the y-intercept.

In slope-intercept form, the equation is ...

  y = mx + b . . . . . . where m is the slope (-1/3) and b is the y-intercept (4)

  y = -1/3x +4 . . . . equation

Answer:

Step-by-step explanation:

The fraction 8/8 is an improper fraction. A proper fraction is one in which the numerator is less than the denominator.

1/1, 2/2, 3/3, 4/4, 5/5, 6/6, 7/7, 8/8, 9/9, 10/10, 11/11, 12/12, 13/13, 14/14, 15/15 ...

Answer:

Step-by-step explanation:

The bigger the denominator the smaller the fraction.

For example if you have 1/9 and 1/5.

The fraction 1/5 has a greater denominator and is greater than 1/9, because it is split into less parts.

Hope this helped :)

Answer:

45 > 51

Step-by-step explanation:

The y-intercept of \(2y = 3x - 4\) and the y-intercept of \(4x - 2y=4\) are equal

The equations are given as:

\(2y = 3x - 4\)

\(4x - 2y=4\)

Make y the subject in both equations

First equation

\(2y = 3x - 4\)

\(y = \frac 32x - 2\)

Second equation

\(4x - 2y=4\)

\(y = 2x - 2\)

A linear equation is represented as:

\(y = mx + b\)

Where b represents the y-intercept

So: By comparison,

\(b_1 = 2\) --- the y-intercept of the first equation

\(b_2 = 2\) --- the y-intercept of the second equation

2 = 2.

Hence, the y-intercept of \(2y = 3x - 4\) and the y-intercept of \(4x - 2y=4\) are equal

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Step-by-step explanation:

first we will take comman then

\( \frac{4}{5} - \frac{2 \times 5}{5} \)

then 4 - 10

it will be

\( \frac{6}{5} \)

or

\(1 \frac{1}{5} \)

i hope it will help

Answer:

Solution is \(\frac{-6}{5}\)

Step-by-step explanation:

\(\frac{4}{5} - 2\)

Set common denominators

\(\frac{4}{5} - \frac{10}{5}\)

Subtract

\(\frac{4}{5} - \frac{10}{5} = \frac{-6}{5}\)

Answer:

The equation of the parabola is:

y

=

1

32

x

2

Explanation:

Please notice that we know that the parabola opens upward or downward, because the directrix is a horizontal line:

y

=

−

8

This tells use that the equation of the parabola of the form:

y

=

f

(

x

)

Not

x

=

f

(

y

)

.

Furthermore, we can see that it must open upward, because the y coordinate of the focus is above the directrix.

The vertex has the same x coordinate as the focus:

x

=

0

And its y coordinate is halfway between the focus and the directrix:

y

=

8

−

8

2

=

0

Therefore the vertex is

(

0

,

0

)

Use the vertex form of the equation of a parabola that opens upward or downward:

y

=

a

(

x

−

h

)

2

+

k

where the vertex is the point

(

h

,

k

)

.

Substitute the vertex into the equation:

y

=

a

(

x

−

0

)

2

+

0

Simplify:

y

=

a

x

2

The distance, f, from the vertex to the focus is,

f

=

8

; this allows use to find the value of

a

, using the equation:

a

=

1

4

f

a

=

1

32

The equation of the parabola is:

y

=

1

32

x

2

Step-by-step explanation:

Answer:

vertex is (-8,-1) with a p-value of 1 and it opens upward

Step-by-step explanation:

the vertex is the place in directly between the focus and the directrix, giving us (-8,-1)

the p-value is the equivalent distance between the focus and the vertex, or the vertex and the directrix, giving us 1

the parabola opens away from the directrix, meaning it opens upward

Answer:

c

Step-by-step explanation:

The measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

In the figure, lines BD and QS are parallel. Two parallel lines B D, and Q S are intersected by a line AT at C, and R respectively such that the angle ∠DCR is 77 degrees.

We know that the angle ∠DCR & ∠SRT and ∠DCR & ∠SRT are corresponding angles. Then they are equal to each other.

∠DCR = ∠SRT = 77°

∠CRQ = ∠CRS

We know that the angle ∠CRQ and ∠CRS are supplementary angles. Then we have

∠CRQ + ∠SRT = 180°

∠CRQ + 77° = 180°

∠CRQ = 103°

Then the measure of the angle ∠CRQ is 103° and the measure of the angle ∠CRS will be 103°.

The diagram is given below.

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Percent of change of price is 59%.

The percentage change calculator will measure the difference between two numbers and specify whether the difference is an increase or decrease.

A % change calculator like this one. The number of apples has increased (changed) by 100% from 10 to 20.

When there is a "old" and "new" number or a "initial" and "final" value, this calculator will be utilized most frequently. While a negative change is expressed as a decrease in the absolute value of the percentage value, a positive change is expressed as an increase in the percentage value.

Percentage Change=\(\frac{V2-V1}{V1} *100\);

Given,

V1=34,V2=54;

⇒Percentage change=\(\frac{54-34}{34} *100\)=59%

Percent of change of price is 59%.

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ANSWER:

768

Step-by-step explanation:

He has 1,200. We need to find 8% of 1,200. 8%x1,200=96x8 years= 768

Answer:

5 ft

Step-by-step explanation:

30/6 = 5

20/4 = 5

25/x = 5

25/5 = 5

x = 5

Answer:

5 feet

Step-by-step explanation:

the triangles are scaled by the factor of 5

Answer:

Step-by-step explanation:

Since x-8 is a factor, this means that f(x)/(x-8) should return the quadratic factor.

I can't really show you the long division here, but just know that this gives you a quotient of x^2 - x + 6.

This means that f(x)=(x-8)(x^2 - x + 6)=(x-8)(x-3)(x+2).

Setting each of these factors equal to 0, we get the roots to be 8, 3, and -2.

The area of the figure ABDECA, and the coordinates of the points on the quadrilateral are;

1. The area is about 15.16 units²

2. The coordinates of the points are;

(i) B(5, 8)

(ii) C(8.58, 4)

(ii) D(8,58, 1.21)

A quadrilateral is a four sided polygon.

1. The coordinate of the point C can be found as follows;

Let (x, y) represent the coordinates of the C, we get;

(x + 8)/2 = 5

x = 2 × 5 - 8 = 2

(y + 8)/2 = 6

y = 2 × 6 - 8 = 4

The coordinates ot the point C (2, 4)

The length of the segment BC = √((8 - 2)² + (8 - 4)²) = 2·√(13)

Length of the side AB = √((8 - 6)² + (8 - 11)²) = √(4 + 9) = √(13)

The area of the triangle ABC = (1/2) × 2·√(13) × √(13) = 13

CE is perpendicular to DE, let (a, b), represent the coordinates of the point E, therefore;

(4 - y)/(2 - x) = -(5 - x)/(6 - y)

y - 4 = (-4/7)(x - 2)

y - 6 = (7/4)(x - 5)

(-4/7)(x - 2) + 4 = (7/4)(x - 5) + 6

x = (17/5) = 3.4

y = (7/4)((17/5) - 5) + 6 = 3.2

The coordinates of the point E is (3.4, 3.2)

The length of the side DE = √((5 - 3.4)² + (6 - 3.2)²) = √(10.4)

Length of the side CE = √((3.2 - 2)² + (3.4 - 4)²) = √(1.8)

Area of the triangle ΔCDE = (1/2) × √(10.4) × √(1.8)

Area of the figure is therefore;

2. The equation of the line AB is; y - 6 = (1/3)·(x - (-1))

y - 6 = (1/3)·(x + 1)

y = (1/3)·(x + 1) + 6

The slope of the segment AE = (4 - 6)/(3 - (-1)) = -1/2

Slope of the segment BE = -1/(-1/2) = 2

Equation of BE is; y - 4 = 2·(x - 3)

y = 2·(x - 3) + 4 = (1/3)·(x + 1) + 6

Therefore, x = 5

y = (1/3)·(5 + 1) + 6 = 8

(ii) Area of the triangle EBC = 24 unit²

EB = (1/2) × √((5 - 3)² + (8 - 4)²) = √20

Therefore;

BC = 24/(√20) = 12/√5 = 12·√5/5 = √(28.8)

(x - 5)² + (y - 8)² = 28.8

y = 4, therefore;

(x - 5)² + (4 - 8)² = 28.8

(x - 5)² = 28.8 - (4 - 8)² = 12.8

x = √(12.8) + 5

(iii) The equation of the segment AD is; y - 4 = (-1/2)(x - 3)

x = √(12.8) + 5

Therefore;

y - 4 = (-1/2)((√(12.8) + 5) - 3)

y = (-1/2)((√(12.8) + 5) - 3) + 4 ≈ 1.21

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