Fill in the blanks to complete each sentence. An expression is a mathematical statement that contains _______________ and _______________. A _______________ is part of an expression that is added or subtracted. Terms that have the same variable or variables raised to the same exponent are _______________ terms. 2. Place an X in the correct column to show whether the terms in each pair are like terms.

The measure of the complement of a 1-degree angle is 89 degrees.

The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.

Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:

1 degree + x degrees = 90 degrees.

To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:

x degrees = 90 degrees - 1 degree.

Simplifying the right side, we get:

x degrees = 89 degrees.

In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.

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Answer:

There are 2000 grams of in each meal.

Step-by-step explanation:

First you divide 8 by 4 because that's how many meals he eats per day then you convert the kilograms into grams.

The weight of each meal a black bear eats is 2 kilograms.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given,  A black bear in a zoo eats 8 kilograms of food each day.

He eats 4 equal-sized meals each day.

∴ The weight of each meal is the total kilograms of food divided by the total no. of meals which is,

= (8/4) kilograms.

= 2 kilograms.

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Answer:

Step-by-step explanation:

"Tamara runs 5 miles each week"

Let Tamara runs 'x' weeks then equation that represents the total distance covered by Tamara will be,

1). y = 5x

2). Here 'y' is directly proportional to the number of weeks 'x'.

3). And the graph when plotted will start from 0. Therefore, graph (1) will be the graph for the given equation.

"Tamara runs 5 minutes more than she walks each day."

1). If Tamara walks 'x' minutes daily and she runs for y minutes then relation between x and y will be,

y = x + 5

2). y and x are non proportional.

3). Graph will have y-intercept = 5

Answer:

ik somebody answer already n stuff

Step-by-step explanation:

The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Using a fraction bar, a colon symbol, and the word "to" are three ways to find the ratio.

Here x and y are comparisons of data. For suppose if x is five and y are 10, then the ratio will be 5/10.

The ratio of 5 inches to 2 feet can be written as 5:2, this can be also written in a fraction bar i.e.5/2.

For example, the ratio of 5 students :1 class for this is written as 5to1.

To solve the ratios we follow the following few steps:

The ratio of can be written in two ways:

1.16/20=4:5

2.16:20

The number 50 has a ratio of 5:1 to the number 10.

5/1=x/10

so x=50.

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One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{4}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{0}}} \implies \cfrac{ 2 }{ 6 } \implies \cfrac{ 1 }{ 3 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{ \cfrac{ 1 }{ 3 }}(x-\stackrel{x_1}{0})\implies {\Large \begin{array}{llll} y=\cfrac{ 1 }{ 3 }x+2 \end{array}}\)

Answer: 130 dollars because 26 times 5 is 130 and 5 stands for 50 people

Assuming each family had one car, 2 people would cost $10, 4 would cost $14, 10 would cost $26.

Let me know if you want me to expand further... Happy to help :)

Brainliest please

Step-by-step explanation:

Answer:

(1, 1) only.

Step-by-step explanation:

Hey! Let's help you with your question here!

Let's begin by understanding what is given to us. We know that the line contains the point (0, -1) and has a slope of 2. What can we infer from this? We can create a slope-intercept equation of a line! How do we do that? Well, if you recall, the slope-intercept form is:

\(y=mx+b\)

We already have our slope of m, which is 2. Now we just need to find b. But how do we do that? Given that the line contains the point (0, -1), We can substitute the point into x and y and solve for b! It would look like this:

\(-1=2(0)+b\)

\(-1=b\)

Now, that we've solved for b, we get the entire formula of:

\(y=2x-1\)

How do we know if the point is on the line or not? Well, for each point, we substitute the points (x and y) and see if they equal each other. If they don't, then they are not part of the line. If they do, they are considered part of the line. So it would be as such:

(2, 1):

\(y=2x-1\)

\(1=2(2)-1\)

\(1=4-1\)

\(1\neq 3\)

Since they don't equal each other, (2, 1) does not lie on the line.

(0, 1):

\(y=2x-1\)

\(1=2(0)-1\)

\(1\neq -1\)

Since they don't equal each other, (0, 1) does not lie on the line.

(1, 1):

\(y=2x-1\)

\(1=2(1)-1\)

\(1=2-1\)

\(1=1\)

Turns out they do equal each other! Therefore, (1, 1) does lie on the line.

So out of all that we tested, the only point that also lies on the line is (1, 1).

The side length of the cube is 5.6 feet (rounded to the nearest tenth).

We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.

We can calculate s by taking the cube root of both sides of the equation:

\(s = (V)^{(1/3)\)

Substituting V = 141, we get:

\(s = (141)^{(1/3)\)

By using a calculator to evaluate this expression, we may determine:

s ≈ 5.6

As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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To obtain the position vector of the midpoint of the line PQ, the following steps are necessary:

Step 1: Recall the expression for the line AB, obtained from two position vectors A, and B, as follows:

Also:

Step 2: Recall the expression for the midpoint of the line vector PQ, as given below:

Thus:

Step 3: Apply the formula for the midpoint of line PQ, to the question, as follows:

Therefore, the position vector of the midpoint of the line PQ is : (2, 6, 7) (option B)

2 in = 5.08 cm So 2in is greater

Answer:

262.5 / 2 miles

= 131.25 miles.

The 1st step is adding the m/h combined x length of one journey sought

60+45 = 105         Adding the m/h together

105 x 2.5 =  262.5   Multiply length the journey sought

Then converting to miles each way we divide by 2  

262.5  /  2  =  131.25 miles.

The figure shows a graph of the function fx in the coordinate plane. f2 is greater than g2.

As the graph of function f(x) is a parabola, so that the equation of function f(x) is:

f(x) = \(ax^2+bx+c\)

As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)

=> f(0) = 8; f(-2) = 0; f(4) = 0

We have:

f(x=0) = a x 0 + b x 0 + c = 8  => c = 8

We have:

+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)

+) 16a + 4b + 8 = 0 (2)

We take (2) minus (1)

=> (16a + 4b + 8) - (8a - 4b + 16) = 0

=> 8a - 8 = 0 => a = 1

Replace a = 1 into (1)

=> 8 x 1 - 4b + 16 = 0 => b = 6

f (2) = 2^2 + 6 x 2 + 8 = 24

g (2) = 3 -2 + 2 = 3

Thus, f(2) is greater than g(2).

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Answer:

0.0228

Step-by-step explanation:

Trust <3 like fr I just did it on Khan

Answer:

80.385

Step-by-step explanation:

It requires you to use trigonometry. First, ask yourself, which of the angle relationship (between sin, cos, tan) that includes the triangle's "x" and "300", from the angle 15°.

It's tan, because in this case, tan 15° = x / 300.

You then set x = 300 tan 15°, type it on calculator, and voila you get the answer.

Answer:

Hey there!

Tangent 15=x/300

Tangent 15(300)=x

x=80.4

Let me know if this helps :)

Answer:

574.94

Step-by-step explanation:

walmart

The earth is 3.91×10^8 miles closer to the sun than jupiter

Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c

The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.

The dimension of how closer the earth is to the sun than Jupiter is therefore

( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles

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Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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The most appropriate choice of percentage will be given by-

The store have to increase the price of the item by \(11\frac{1}{9}\) %  in order to sell it for the original amount.

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Let the original price be x

Percentage decrease in price due to sale = 10%

Decrease in price due to sale = \(\frac{10}{100} \times x\)

                                                  = \(\frac{x}{10}\)

New price = (\(x - \frac{x}{10}\))

                 = \(\frac{10x-x} {10}\)

                 = \(\frac{9x}{10}\)

Now,

Increase in price from \(\frac{9x}{10}\) to \(x\) = \(\frac{x}{10}\)

Percentage by which the store have to increase the price of the item in order to sell it for the original amount =

                                                                  \(\frac{\frac{x}{10} }{\frac{9x}{10} } \times 100\)

                                                              =\(\frac{x}{10} \times \frac{10}{9x} \times 100\)

                                                              = \(\frac{100}{9}\)

                                                              = \(11\frac{1}{9}\) %

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The amount that would be in the account when Alana is 21  is $2890

We have to know the formula for simple interest.

This is expressed as;

S.I = PRT/100

Given that the parameters of the formula are enumerated as;

From the information given, substitute the values, we have;

SI = 1000 × 9 × 21/100

Multiply the values,

Then, divide by the denominator, we have;

SI = $1890

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No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

no entiendo ni madred

Step-by-step explanation:

Soy chino

Answer:

I believe her weight is 80kg

Step-by-step explanation:

Ceri normal weight is 50 Kg.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Present Weight = 55 Kg, which is 10% higher than her normal weight.

let her normal weight be x.

So,  x+ 10% of x = 55

x+ 1/10 x = 55

11x /10 = 55

11x= 550

x= 50

Hence, Ceri normal weight is 50 Kg.

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1/4 and 64 can be expressed as follows:

Substituting into the equation:

\( \sqrt{54} = \sqrt{ 2 \times3 \times 3 \times 3}\)

\( \sqrt{54} = \sqrt{ 2 \times 3} \times 3\)

\( \sqrt{54} = \sqrt{6} \times 3\)

\( \sqrt{54} = 3 \sqrt{6} \)

Answer:

That men need to start treating their wives with more respect. Women are always being disrespected and it shouldn't be that way considering they are the heart of the family. Men and Women need to start coming together more as a team.