Lily is making costumes. She buys
5 yards of fabric that cost m
dollars per yard and 7 yards of
fabric that cost p dollars per
yard. The total amount of his
purchase is given by the
expression 5m+7p. What are the
terms of this expression?

Answer:

Step-by-step explanation:

90 times 3 = 270

9x-3 + 6x + 48 = 270

add like terms, 48-3 = 45

9x + 6x + 45 = 270

subtract 45 both sides and add like terms again

15x = 225

divide 15 on both sides

x = 15

Answer:

Opal saves more

Step-by-step explanation:

The transformations that change the domain of a function are given as follows:

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.

Hence we must look at transformations that change the values of x of the function, which are given as follows:

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Answer:

A

Step-by-step explanation:

The expression without absolute value bars is 3.84.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

|√10 - 7 |

= | 3.16 - 7 |

= | -3.84 |

= 3.84

Thus,

The value of the expression is 3.84.

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Answer:b

Step-by-step explanation:I took it

Answer:

its B...

Step-by-step explanation:

Hope this helps!

Answer:

c) 5.95

Standard error of the mean = 5.95

Step-by-step explanation:

Explanation:-

Given mean of the credit score for residents of South Dakota  (x⁻) = 700

Given standard deviation(S.D) ( σ) = 46.1

Random sample size 'n' = 60

Standard error of the mean

                                        \(S.E = \frac{S.D}{\sqrt{n} }\)

                                        \(S.E = \frac{46.1}{\sqrt{60} }\)

                                       S.E = 5.95

Conclusion:-

Standard error of the mean = 5.95

Answer:

c

Step-by-step explanation:

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

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\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).

the first domain is true for f(0) so we substitute value of x in the first function

\(f(x) = x \\ f(0) = 0\)

The lengths of the segments x and y in the right triangles are x = 6√2 and y = 12√2

The given shape is the right-angled triangle

Such that

We have angles = 30 degrees and 45 degrees

The measure of y can be calculated using the following sine ratio

sin(45) = y/24

Make y the subject

So, we have

y = 24 * sin(45)

When evaluated, we have

y = 12√2

The length x is calculated as

sin(30) = x/y

So, we have

x = y * sin(30)

This gives

x = 12√2 * 1/2

Evaluate

x = 6√2

Hence, the value of x in the triangle is 6√2

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Answer: 81 + 49 + 1000

Step-by-step explanation:

Answer: 2,198,000

Step-by-step explanation:

(81 + 49)^3 + 1000

2,197,000 + 1000

2198,000

BRAINLEST PLPSS

Answer: 2. They are congruent angles.

Step-by-step explanation:

      Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.

     Vertical angle pairs are congruent angles, meaning the answer to this question is;

              2. They are congruent angles.

Answer: They are congruent angles.

Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)

hope this helps!

please give brainliest!

The solution to the differential equation in this problem is given as follows:

y(t) = Ae^(3t) + Be^(2t).

The differential equation for this problem is given as follows:

y'' - 5y' + 6 = 0.

It is a simple linear and homogeneous second order differential equation, hence it can be solved with the characteristic equation method.

The characteristic equation for the differential equation is given as follows:

r² - 5r + 6 = 0.

The roots for the characteristic equation are obtained by finding the linear factors and using the factor theorem as follows:

(r - 3)(r - 2) = 0.

Hence:

These are real and non-repeated roots, hence the solution is given as follows:

y(t) = Ae^(3t) + Be^(2t).

In which A and B are constants depending on the initial conditions for the differential equation.

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Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

Answer:

No

Step-by-step explanation:

I dont think rational numbers can be negative. Also the values are not repeating.

Answer:

2.5 or 2 over 5

Step-by-step explanation:

Answer:

6.6 is the answer

Step-by-step explanation:

Answer:

$898

Step-by-step explanation:

Easy, 546 + 352 =

898

Answer:

$5.5 per pound of meat

Step-by-step explanation:

$20.35 ÷ 3.7 = $5.50

Hope this is helpful

Answer:

16

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

Follow these steps to get a mixed number:

Divide 12 by 5. The quotient is 2 and the remainder is 2. The divisor remains 5. 12/5 in mixed fraction is 2 2/5

Hence, 12/5 can be written as a mixed number 2 2/5.

The new mixture contains 34% peanuts.

Using a weighted average approach.

Let x be the percentage of peanuts in the new mixture. Then we can set up the following equation:

(0.16)(4) + (0.40)(12) = x(4 + 12)

simplifying the equation, we get:

0.64 + 4.8 = 16x

5.44 = 16x

x = 0.34 or 34%

Therefore, the new mixture contains 34% peanuts.

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Each element in B is an infinite sequence (b1, b2, b3, ...), where each

                                 bi ∈ {0, 1}.

Infinite Sequence:

An infinite sequence (sometimes simply called a sequence) is a function with a domain of all positive integers. At the beginning of calculus, the domain of infinite sequences is usually the set of real numbers, but the domain can also include complex numbers.

The general form of the infinite sequence is

        f(1), f(2), f(3),…f(n),…

where:

… = continues indefinitely,

n = Positive integer (input),

f(n) = real number (output).

Diagonalization:

Converting a matrix to diagonal form is called diagonalization. The eigenvalues ​​of a matrix are clearly represented by a diagonal matrix. A diagonal matrix is ​​a square matrix in which all elements except the main diagonal are zero. In this article, let's take a look at the definition, process, and example solution of diagonalization.

\(\left[\begin{array}{ccc}4&0&0\\0&5&0\\0&0&6\end{array}\right] = I_3 \left[\begin{array}{ccc}4&0&0\\0&5&0\\0&0&6\end{array}\right] I_{3} ^-1\)

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The coordinates of point P are (5, -3.5). The equation of the circle is \((x - 5)^2 + (y + 3.5)^2 = 1.5^2\). The equation of KL is y = (-4/3)x + 22/3.

To find the coordinates of point P, we can first find the midpoint of MN, which is the center of the circle. The midpoint formula is given by:

Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )

Using the coordinates of M(3,-5) and N(7,-2), we can calculate the midpoint:

Midpoint = ( (3 + 7) / 2 , (-5 + -2) / 2 ) = (5, -3.5)

Since the midpoint of MN is the center of the circle, the coordinates of P will be the same as the coordinates of the center, which are (5, -3.5).

i. To determine the equation of the circle in the form of \((x-a)^2\) + \((y-b)^2\) = \(r^2\), we can use the center and any point on the circle. We can use point N(7,-2), which lies on the circle.

The radius of the circle is half the length of PN. Therefore, the radius is given by:

Radius =\(1/2 * \sqrt((7 - 5)^2 + (-2 - (-3.5))^2) = 1.5\)

Substituting the values into the equation, we get:

\((x - 5)^2 + (y + 3.5)^2 = 1.5^2\)

ii. To determine the equation of KL in the form of y = mx + c, we can use the slope of the tangent line.

The slope of KL can be calculated as the negative reciprocal of the slope of the radius line MN. The slope of MN is given by:

m = (y2 - y1) / (x2 - x1) = (-2 - (-3.5)) / (7 - 5) = 1.5 / 2 = 0.75

The negative reciprocal of 0.75 is -4/3, which represents the slope of KL.

Using the point N(7,-2) and the slope -4/3, we can use the point-slope form of a line to find the equation of KL:

y - (-2) = (-4/3)(x - 7)

y + 2 = (-4/3)x + 28/3

y = (-4/3)x + 22/3

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Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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