20 points pls help!!!!!!

Answer:  \(l=\dfrac{P}{2}-b\)

Step-by-step explanation:

P = 2(l + b)

Divide both sides by 2:

\(\dfrac{P}{2}=l+b\)

Subtract b from both sides:

\(\dfrac{P}{2}-b=l\)

Note: You can also multiply b by  \(\frac{2}{2}\) if you want the left side to be one fraction.

\(\dfrac{P}{2}-\bigg(\dfrac{2}{2}\bigg)b=l\\\\\\\dfrac{P-2b}{2}=l\)

Step-by-step explanation:

Root:(1/2, 0)

Domain: x∈R

Range: y∈R

Vertical intercept: (0, 1)

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

To find the area of a parallelogram, you need to multiply the base by the height. In this case, the given dimensions are 60ft (base) and 67ft (height), and you need to subtract 52ft from the height.

New height = 67ft - 52ft = 15ft

Area of the parallelogram = Base * Height = 60ft * 15ft = 900 square feet.

Therefore, the area of the parallelogram is 900 square feet.

~~~Harsha~~~

The required volume of the solid whose base is a circular disk is \(\frac{1024}{3}r^{3}\).

The volume of a strong is the proportion of how much space an item takes up. It is estimated by the quantity of unit shapes it takes to top off the strong. Including the unit shapes in the strong, we have 30 unit blocks, so the volume is: 2 units 3 units 5 units = 30 cubic units.

We have circular place, with origin at center

x^2 + ^2 = 16r^2

Taking into account that piece of the strong in the first octane, with the square cross-segments running lined up with the x-z pivot, the volume of a natural cross area is:

dv = x(2x)dy = 2(16r^2 - y^2)dy

On integrating it

V = 2∫₀^(4r) { (16r^2 - y^2)dy}

\(2[16r^{2}y-\frac{y^{3} }{3}]_{0}\) = \(\frac{256}{3}r^{3}\)

This volume is one quadrant,

So, total volume is = \(\frac{1024}{3}r^{3}\)

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The scale factor of figure B to figure A is 1/2.

To find the scale factor of figure B to figure A, we need to determine how much the corresponding sides of the two figures have been multiplied or divided by.

Looking at the figures, we can see that the corresponding sides of figure B are half the length of the corresponding sides of figure A. For example, the length of side AB in figure A is twice the length of side AB' in figure B, and the length of side BC in figure A is twice the length of side B'C' in figure B.

Since the corresponding sides of figure B are half the length of the corresponding sides of figure A, the scale factor of figure B to figure A is 1:2 or 1/2.

Therefore, the scale factor of figure B to figure A is 1/2.

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Answer:

true

Step-by-step explanation:

just took test

Answer:

it looks good

Step-by-step explanation:

When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Answer:

1: 3/32. 2: 3/8. 3: 1/20

my dear

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

2800=1.4tons

Step-by-step explanation:

2000Ib=1ton

The equation that represent the proportional relationship is t = 2 / 5 H.

Proportional relationships are relationships between two variables where their ratios are equivalent.

A proportional relationship is one in which two quantities vary directly with each other.

We say the variable y varies directly as x if:  

y = kx

for some constant k , called the constant of proportionality .

The equation that represent the proportional relationship can be represented as follows:

t = KH

using

t = 2

H = 5

Hence,

2 = 5k

k = 2 / 5

Therefore,

t = 2 / 5 H

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Answer:

42.5 cm²

Step-by-step explanation:

1/2x17x5 = 42.5

Answer:

a. -5°F, -8°C, 40°F, 10°C

Step-by-step explanation:

-17°C is when F = 0, so -8°C is way higher than -5°F. -8°C comes right after, and 40°F is a bit lower than 10°C. You can convert F to C is °F = (C * 9/5) + 32 and you can convert C to F with (F -32) x 5/9

An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. The valid equivalence values of the student clears the exam is 29, 30, 31.

An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks.

The class will be as follows:

Class i: values<24 => invalid class

Class ii: 24 to 40  => valid class

Class iii: values> 40 => invalid class

We need to identify valid equivalence values. Valid equivalence values will be there in a valid equivalence class. All the values should be in class ii.

Therefore, the answer is 29, 30, 31.

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

its c

Step-by-step explanation:

Percentage equivalent to fraction is found by multiplying the fraction with 100.

Given,

Percentage equivalent of fraction,

Let us take few fractions and convert them into their percentage equivalent.

Example,

Fractions                                                       Percentage equivalent

Hence multiply the given fraction with 100 to get its percentage equivalent.

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Therefore, 15.95 centimeters represents the top limit of the rope's maximum length.

The measurement or size of a thing end to end is referred to as its length. To put it another way, it is the bigger of the higher two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.

Since the ruler used to measure the length of the rope has some uncertainty or error, the actual length of the rope could be slightly larger than the measured value.

To find the upper bound of the largest possible length of the rope, we can add the uncertainty or error to the measured value.

Let's assume that the ruler used to measure the rope has a precision of 0.1 cm, which means that the measured value could be off by up to 0.05 cm in either direction.

Therefore, the upper bound of the largest possible length of the rope can be found by adding the maximum possible error of 0.05 cm to the measured value of 15.9 cm:

Upper bound = 15.9 cm + 0.05 cm = 15.95 cm

So the upper bound of the largest possible length of the rope is 15.95 cm.

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a) Both events occur: A ∩ B

b) At least one event occurs: A ∪ B

c) Neither event occurs: A' ∩ B'

d) Exactly one event occurs: (A ∩ B') ∪ (A' ∩ B)

In Event A and B, the intersection A ∩ B tells us the outcome where both events occur. The Union of A and B tells us the outcome where at least one event occurs. The intersection of the complements of A and B (A' ∩ B') tells us the outcome where neither event occurs.

Finally, the union of the intersection of A and the complement of B and the intersection of the complement of A and B ( (A ∩ B') ∪ (A' ∩ B) ) tells us the outcome where exactly one event occurs.

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Answer:

It depends on how big the square is.

Step-by-step explanation:

Answer:

Natalie win as the 6th grade class president

Step-by-step explanation:she win by 4 points after Phil and Natalie has 16 votes and Phil has 12 votes

The matrix's inverse is \(\left[\begin{array}{ccc}1&2&3\\3&4&6\\7&8&9\end{array}\right]\)

To find the inverse of a matrix A, you can use the following formula:

A⁻¹ = (1/det(A)) * adj(A)

Where det(A) is the determinant of matrix A, and adj(A) is the adjugate of matrix A. The adjugate of a matrix is the transpose of the cofactor matrix of A.

Once you have found the inverse of matrix A, you can use it to solve a system of linear equations. To express a system of linear equations in matrix form, you can use the following notation:

Ax = b

Where A is the coefficient matrix, x is the vector of unknowns, and b is the vector of constants. In this case, the system of linear equations is:

x + 2y + 3z = 1

3x + 4y + 6z = 2

7x + 8y + 9z = 3

You can write this system in matrix form as:

A =\(\left[\begin{array}{ccc}1&2&3\\3&4&6\\7&8&9\end{array}\right]\)

x = [x; y; z]

b = [1; 2; 3]

Ax = b

Now, to solve for x, you can use the formula:

x = A⁻¹ * b

Where A⁻¹ is the inverse of matrix A, and b is the vector of constants. Once you have found x, you can substitute its values into the original system of linear equations to check your answer.

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Complete Question:

given the following matrix: find the matrix's inverse and enter it below: given the following system, express the system in matrix form as below:

A= [1 2 3

      3 4 6

      7 8 9]

use the result of to get the solution to enter the solution below

Answer:

The slope is -2 full equation is y = -2x -2