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Answer:

mABC=130°

mEBD=130°

mABE=50°

Step-by-step explanation:

Answer:

$2.20

Step-by-step explanation:

100 cents= $1

70+60= 130. Move the decimal to the left twice to get $1.30.

50+40= 90 cents

90+30= $1.20+ the 1 dollar from before and you get $2.20

Answer: 220

Step-by-step explanation:

40+50+60+70= 220

Because the questions says in all we have to add it all together.

Solution

-8 r + 8r =0

And the correct answer would be:

Inverse property of addition

Answer:

Yes

Step-by-step explanation:

Yes it is since there are no exponents involved.

Answer:

Yes, 5x - y + 4 =0 represent linear equation

Average speed for the whole journey = 53.67 miles per hour.

What is Speed?

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The Average speed:-

"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".

= total distance/total time

According  to the Question

We have;

-------> ALEX drove for 3 hours at a rate of 60 miles per hour.

-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.

We know that;

speed = distance/ time

Now we can write it as;

distance = speed *time

Consider the first statement of the Question;

-------> John drove for 3 hours at a rate of 60 miles per hour.

Here, speed = 60 miles per hour.

Time = 3 hours.

Putting in the above then we get;

distance = 60*3

distance =180

Consider the second statement of the Question;

-------> John drove for 2 hours at a rate of 45 miles per hour.

Here, speed = 45 miles per hour.

Time = 2 hours.

Putting in the above then we get;

distance = 45*2

distance =90

-----> Now find the Average speed of John.

We have;

The distance in the first part;

miles. at time 3 hours.

The distance in the second part;

miles. at time 2 hours.

We have;

The average speed = 53.67 miles per hour

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The absolute value of a number is its distance from zero on the number line. For example, -7 is 7 units away from zero, so its absolute value would be 7.

Answer:

Undefined.

Step-by-step explanation:

Slope is the Rise/Run of a straight line.  Run is the change in the value of y for a change in x.  The graph shows all values are possible for y even when there is zero change in x.  All Values/0 = Undefined.

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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Answer:

(a) Triangles are similar if corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal.

(b) x = 24

(c) y = 17; z = 51

Step-by-step explanation:

(a) Triangles are similar if corresponding angles are congruent and the ratios of the lengths of corresponding sides are equal.

(b)

15/45 = 8/x

1/3 = 8/x

x = 3 * 8

x = 24

(c)

a^2 + b^2 = c^2

x^2 + 45^2 = z^2

24^2 + 45^2 = z^2

576 + 2025 = z^2

z^2 = 2601

z = 51

15/45 = y/z

1/3 = y/51

3y = 51

y = 17

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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The surface area of the composite figure is; SA = 224 in.²

From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as;

SA= 2(10 * 2) + 2(4 * 7) + 2(4 * 4) + 2(4 * 2) + (4 * 7) + (10 * 4) + (3 * 4)

SA = 40 + 56 + 32 + 16 + 28 + 40 + 12

SA = 224 in.²

Thus, we can conclude that the  surface area of the composite figure is;

SA = 224 in.²

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The correct answer is option (b) No, the statement does not represent an exponential function, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

An exponential function is a mathematical function in which the variable is in the exponent. Exponential functions follow the form f(x) = a^x, where a is the base and x is the exponent.

The given statement is h(t) = -4.9t² + 18t + 40, which does not represent an exponential function. The value of t is not in the exponent in this case. Instead, it's a quadratic equation, which is in the form of h(t) = at² + bt + c.

Therefore, the correct answer is option (b) No, the statement does not represent an exponential function.

Explanation:

An exponential function can also be represented by the general form y = ab^x, where b > 0 and b ≠ 1. When plotted on a graph, the curve of an exponential function rises or falls at an increasing rate, depending on whether b is greater than or less than 1, respectively.

A quadratic equation is an equation of the form ax² + bx + c = 0, where a ≠ 0, and x represents a variable. Quadratic equations are second-degree equations, which means the highest exponent of the variable is two.

Therefore, h(t) = -4.9t² + 18t + 40 is a quadratic function and not an exponential function.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer:

The football team lost a total of 20 yards after the 5 plays.

Step-by-step explanation:

The football team lost a total of 20 yards after the 5 plays.

Answer:

40

Step-by-step explanation:

if they lose 4 years 5 times, you need to multiple 4x5= which is also 4+4+4+4+4 you get 20 from that

Answer:

Yes

Step-by-step explanation:

10/5 = 2 and 5/5 = 1

Answer:

Yes

Step-by-step explanation:

To find out if the ratios are equivalent you need to simplify both of them. The ratio 2:1 is already simplified all the way. You know this because 2 and 1 have no GCF (greatest common factor) besides 1. However, 10:5 is not all the way simplified. The GCF is 5, so divide both sides by 5. This equals 2:1. The ratio 2:1 is equal to 2:1; therefore, they must be equivalent.

Answer:

babe hehheheheh i think we well be this cute

Step-by-step explanation: hahahaha we r this cute

Answer:

...........

Step-by-step explanation:

Answer:

x = -4, y = 3

Step-by-step explanation:

In one equation (let's use the top one), solve for one of the variables (let's solve for y first).

5x - 2y = - 26 --> -2y = -5x - 26 --> y = (5/2)x + 13

Now, substitute ((5/2)x + 13) in for y in the second equation.

-7x + 4((5/2)x + 13) = 40 --> -7x + 10x + 52= 40 --> 3x = -12 --> x = -4

Then, subtitute that in to one of the equations.

5(-4) - 2y = -26 --> -20 - 2y = -26 --> -2y = -6 --> y = 3

Answer:

Step-by-step explanation:

rate of Bumblebee=38/14=19/7=1 5/7 flowers /min

rate of Butterfly=21/7=3 flowers/min

so Butterfly is visiting the flowers at a faster rate.

Answer:

i belive the answer is 740,000 mg

Elmer new account balance is -41.59

Elmer has overdrawn funds from his bank account

His account balance is -35.83

The bank allows an additional withdrawal of $5.76

Elmer's new account balance can be calculated as follows

The account balance can be calculated by subtraction 5.76 from 35.83

-35.83 - 5.76

= -41.59

Hence Elmer's new account balance is $41.59

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x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)

To simplify the given expression, we will first solve the expression within the brackets as follows:

(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³

Now, we will substitute the above value in the expression:

3x[3(x + y)]^3 = 3

x × 27(x + y)³ = 81x(x + y)³

Multiplying both terms of (x + 3)(x + y), we get:

(x + 3)(x + y)

= x(x + y) + 3(x + y) + 3y

= x² + xy + 3x + 3y + yx + 3y

= x² + 4xy + 6y + 3x

The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:

81x(x + y)³ × (x² + 4xy + 6y + 3x)

= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)

= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy

Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

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Answer: 2m/s

Step-by-step explanation:

The boat goes twice as fast down the river, which means it goes twice as slow up the river.

Because the river flows at 2m/s, I think the answer is 2m/s

Answer:

I believe it is B. 2

Step-by-step explanation:

Answer:

63km/h

Step-by-step explanation:

devide 80 km/h over 6hrs and get 13 ... subtract 13 from 80 km/h and get 63 km/h

Answer:

600

Step-by-step explanation:

Answer: $517.50

Step-by-step explanation: 15% of 450 is 67.5

Next 450 + 67.5 = $517.50

5 and 25

A single counterexample to any conjecture that states that something will always be true immediately disproves the statement.

Conjecture

Conjecture is a statement or conclusion that is offered with little to no proof. The conclusion given in the question has no mathematical proof to support the idea; thus, it is conjecture. Conjecture is often easy to disprove.

Counterexamples are examples that follow the conditions of a statement (or conjecture) but do not meet the same conclusion. The conditions of the conjecture given are "an odd number plus another odd number". So, a counterexample must also meet these conditions. The conclusion of the conjecture is that this sum " will always be divisible by 4". Thus, the counterexample should not be divisible by 4.

Counterexample

At first, the conjecture may seem to be true because of pairs like 13+15 or 21+23. However, because the conjecture includes the word "always", it only takes one counterexample to completely disprove the statement.

I know that 30 is not divisible by 4, so I can find 2 odd numbers that sum to 30. I pair I chose was 5+25, but there are other possibilities like 13+17 or 1+29. No matter which you choose, it's clear that the conjecture is not true.

The graph will cross the x-axis if the multiplicity of the real root is odd.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)

(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)

(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)

(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.

The graphs: (a) black, (b) red, (c) green

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In an ANOVA question, the option that is not a required assumption is (a) equal sample sizes. ANOVA assumes normality, homogeneity of variance, and independence of observations for accurate results.

The option that is not a required assumption for an ANOVA question is d) independence of observations. ANOVA (Analysis of Variance) is a statistical test used to compare the means of two or more groups. The assumptions of ANOVA include normality (the data follows a normal distribution), homogeneity of variance (the variances of the groups being compared are equal), and equal sample sizes (the number of observations in each group is the same). However, independence of observations is not a required assumption for ANOVA, although it is a desirable one. This means that the observations in each group should not be related to each other, and there should be no correlation between the groups being compared. However, it is robust to unequal sample sizes, especially when the variances across groups are similar, though equal sample sizes can improve statistical power.

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Answer:

2 9/14

Step-by-step explanation: