select the correct answer what is the simplified form of 45

Answer:

75.66

Step-by-step explanation:

62, 81, 72, 60, 100, 79

To find the average, add all the numbers together then divide by how many numbers there are.

62 + 81 + 72 + 60 + 100 + 79 = 454

454 ÷ 6 = 75.66 or rounded 76

I hope this helps!

Given the following variation

Introducing the constant of proportionality c as shown below

Q=4, when b=2, R= 8

Let use the above values of Q, b, and R to find the value of c as shown below:

Let us substitute c in the formula as shown below

Hence, the specific formula to describe the variation is

Q= 400/(b+R)²

The value of x in the quadratic equation is ±9.

As equation is [tex]X^{2}[/tex] = 81

Taking square root on both sides

⇒ [tex]\sqrt{x^{2} } = \sqrt{81}[/tex]

⇒ X = ± 9

∴ The value of X is  ± 9

The roots of the given quadratic equation are +9 and -9.

An equation of degree 2 containing a single variable is known as the quadratic equation. . Its general form is [tex]Ax^{2}+ Bx^{} + C[/tex], where variables are x and constants are a, b, and c.

Examples are [tex]X^{2}[/tex] = ± 3, [tex]X^{2}[/tex] =  ±9, [tex]X^{2}[/tex]=4 or any real number.

Some other examples are [tex]x^{2} + 2X+2[/tex], etc.

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Answer:

Triangle ABC is congruent to DCE by SAS Theorem.

Step-by-step explanation:

Since AB is parallel to DC, we can say that BC is congruent to CE and AC is congruent to DE, then:

If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangle is congruent.

Triangle ABC is congruent to DCE by SAS Theorem.

The proportional relationship is represented by the formula, y = kx, which demonstrates that y increases at the same rate as x does

Relationships between two variables that are proportional occur when their ratios are equal.

Therefore the proportional relationship is represented by the formula,

y = kx .

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k(x)=3h(x)+4x^4/g(x). given the following table of values,  k'(-1) will be 3.

A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable in mathematics. A crucial calculus technique is the derivative. the procedure for determining a function's derivative, or rate of change, in mathematics. Differentiation is the method used to calculate a function's derivative. The derivative is the rate at which two variables, x and y, change relative to one another.

Given Data

k(x) = -3h(x) + [tex]\frac{4x^{4} }{g(x)}[/tex]

k(x) = -3h'(x) + 4[tex]\frac{4x^{3} g(x)- x^{4}g'(x) }{gx^{2} }[/tex]

k'(-1) = -3h'(-1) + 4 [tex]\frac{4g(-1)-g(-1)}{g(-1)^{2} }[/tex]

k'(-1) = -3(-1) + 4(0)

k(-1) = 3 + 0

k'(-1) = 3

k(x)=3h(x)+4x^4/g(x). given the following table of values,  k'(-1) will be 3.

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Given:

Yes, Tim is correct.

Expression is having the square so , wheather the input is negative or positive the output will always gives the positive values.

All real inputs will give the positive output.

Example:

Lily needs 3/2 cup of sugar to make 4 cups of kool-aid.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Lily is making kool-aid. She uses 1/4 cup of sugar for every 2/3 cup of kool-aid which is given in the question.

We have to determine the number of cups of sugar she needs to make 4 cups of kool-aid.

Let the number of cups of sugar would be x she needs to make 4 cups of kool-aid.

As per the given information, we can write the ratio as:

1/4 cup of sugar : 2/3 cup of kool-aid = x cup of sugar : 4 cup of kool-aid

⇒ 1/4 ÷ 2/3 = x ÷ 4

⇒ (1/4) / (2/3) = x / 4

⇒ (1/4) × (3/2) = x / 4

⇒ 3/8= x / 4

⇒ x = (3 × 4)/8

⇒ x = 12/8

⇒ x = 3/2

Therefore, she needs 3/2 cups of sugar to make 4 cups of kool-aid.

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Given that

Joe drinks 0.55 l of milk every day and we have to find the milk he can drink in 5 days.

Explanation -

Let the given condition be represented as

1 day = 0.55 L milk

So multiplying by 5 on both sides we have

1 x 5 days = 0.55 x 5 L milk

5 days = 2.75 L milk

And conversion is

1L = 1000 ml

So multiplying by 2.75 in the above equation we have

2.75L = 2.75 x 1000 ml = 2750 ml

So Joe will drink 2750 ml of milk in 5 days.

From the information provided, we know that the fisherman has already conducted some experiments and from these events he was able to conclude the probability of catching a fish on his next fishing trip. This is an example of EMPIRICAL PROBABILITY.

This is probability calculated after the event has occured.

ANSWER:

Empirical

The opposite of 10 is -10.

Graph 10 and -10 on the number line.

The numbers are represented by points (dots) on the number line.

Explanation

by the graph we can conclude

if

angle1=39

replace,

I hope this helps you

Answer:

18.9

Step-by-step explanation:

Calculators, haha

Step 1

Since the end amount is greater than the original amount, it is, therefore, percentage increase

Step 2

Calculate the percentage increase

The formula is given by

The answer is therefore 50%

Answer:

this is true

Step-by-step explanation:

The number of caffeinated teas that the tea shop serve is 5.

Number of teas served = 25 teas.

Percentage that was caffeinated.= 20%

Therefore the number that was caffeinated will be the percentage multiplied by the number of teas. This will be:

= 20% × 25

= 0.2 × 25

= 5

Therefore, 5 are caffeinated

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Given that the student's grades on three tests are 80, 81 and 70

Let the student's grade on the fourth test be X

In order to pass the course, the student must have an average of 80 or greater.

Hence,

The score the student must get on the next test to get a B average or better is greater than or equal to 89

The interquartile range of the sample data represented on the stem and leaf diagram is 21.

IQR(interquartile range)  is the difference between the third and first quartile.

The range of a set of data is the difference between the largest and smallest values. The difference is specific; the range of a set of data is the result of subtracting the sample maximum and minimum.

Range = Maximum value - Minimum value

Range = 23 - 02 = 21

We know that the range is the difference between the smallest and the largest value and in the interval we write it as:

From a to b where a is the smallest value and b is the maximum value.

Hence, The interquartile range of the sample data represented on the stem and leaf diagram is 21.

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The first step is to state the system of equations that represent this situation.

Let x and y be the cost of a hand towel and a bath towel respectively.

The equation that represents the money spent for the towels of the hotel in Washington is:

The equation that represents the money spent for the towels of the hotel in Lancaster is:

Solve the given system of equations by equalization:

It means that a hand towel costs $4.

Use this value to find y:

A bath towel costs $11.

From the information given about the above quadrilateral, that is, the rectangle x is equal to 4, and m∠VUR  is equal to 36°.

A quadrilateral is a four-sided polygon with four edges and four corners in geometry. The name comes from the Latin words quadri, a variation of four, and latus, which means "side."

The results above are derived as follows:

To find x note that the diagonals of a triangle are congruent. This means that RT = SU.

⇒ 3x + 8 = 6x - 4 (add 4 to both sides)

3x + 8 + 4 = 6x - 4 + 4
3x + 12 = 6x (Collect like terms over the equation sign)
12 = 6x - 3x
12 = 3x (divide both sides by  three)

x = 12/3

x = 4

To derive m∠VUR,

Recall the properties of a rectangle:

Also, note that;

SRU = 90°

hence

∠VRU =  ∠SRU - ∠VRS

that is:
∠VRU = 90 -54 = 36°

If ∠VRU = 36°, then

∠VUR = 36° [The diagonals of a rectangle are equal.]

Hence ΔRVU is an Isosceles triangle. Since this is true, and it is also true that the two angles opposite to the equal sides of an isosceles triangle are congruent to each other,

Then indeed, ∠VUR = 36°

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Answer:

Virtuosity on the piano

Answer: a

Step-by-step explanation:

quadrants

In this case, we'll have to carry out several steps to find the solution.

Step 01:

We must analyze the statements to find the solution.

Step 02:

it is in quadrants I and II ==> True

It is not a function ==> False

it is not a parabola ==> False

its vertex is in quandrant III ===> False

The answer is:

It is in quadrants I and II

Solution;

The events are independent

First find the length of the segment KL

Apply the formula for distance between two points as;

d = √{y2-y1}^2 + {x2-x1}^2 where

y1= -3 , y2 = 3 , x1 = -2 and x2 = 4

d= √ {3--3}^2 + { 4--2}^2

d= √ 9^2 + 6^2

d= √ 81 + 12

d= √93 = 9.6

So the length of the segment is 9.6

From point K {-2, -3} , find 1/3 of the length to locate point L

This will be : 1/3 * 9.6 =3.2

This means point L is 3.2 units from point K, now apply the distance formula to find x and y coordinates for L, where K is {-2,-3} and L {x,y}

d = √{y2-y1}^2 + {x2-x1}^2

3.2 = √{y--3}^2 + {x--2}^2

3.2 =√ {y+3}^2 +{x+2}^2

3.2^2 = {y+3}^2 + {x+2}^2

10.3 = y^2 + 6y + 9 + x^2 +4x +4

10.3 = y^2 + 6y +x^2 +4x +9+4

10.3 = y^2 + 6y +x^2 +4x +13

0=y^2 +6y +x^2 +4x +13-10.3

0= y^2 +6y +x^2 +4x +2.7

y^2 + 6y +x^2 +4x +2.7 = 0

{-0.9,-0.5)

A point P on the line segment starting at A and ending at B can be parameterized by

[tex]p(t) = (1-t)(-2,-4) + t (6,1)[/tex]

with [tex]0\le t\le1[/tex].

If AP/PB = 3/2, then point P is 3/5 of the length of AB from A, and 2/5 of the length of AB from B. So the coordinates of P are obtained at [tex]t=\frac35[/tex], and we find

[tex]p\left(\dfrac35\right) = \left(1-\dfrac35\right)(-2,-4) + \dfrac35 (6,1) = \boxed{\left(\dfrac{14}5, -1\right)}[/tex]

Answer:

  A)  ASA

Step-by-step explanation:

You want to know the relevant congruence postulate given the markings of angles and sides shown in the diagram.

The arc and hash marks show on the angles mean the angles with matching markings are congruent. Two angles are shown as congruent to their corresponding angles in the other triangle.

The hash mark on the sides mean the sides with matching markings are congruent. One side between the marked angles is shown as congruent to the corresponding side in the other triangle.

The letters A and S in the congruence postulate designations refer to corresponding Angles and Sides, respectively. So, two angles with a side between them would be identified as ASA.

The ASA congruence postulate applies.

Option A) ASA is the correct answer for the given triangle in the question. ASA is the congruence correspondence.

What is congruence correspondence?

Each triangle's vertices must match one another exactly. This expression signifies that each triangle's side and angle measurements match up with a side or angle of the other triangle. To have a one-to-one correspondence, triangles don't necessarily have to be congruent, but when they are, knowing the correspondence of the triangles is important to determine precisely which sides and which angles are congruent.

According to congruence postulate,

Angles with matching markings are congruent if an arc or hash mark appears on them. The relationship between two angles and the corresponding angles in the other triangle is demonstrated.

The hash marks on the sides indicate that the markings on the sides that match are consistent. The opposite triangle's equivalent side is shown to be congruent to the side between the highlighted angles.

The congruence postulate designations begin with the letters A and S, which stand for matching Angles and Sides, respectively. Therefore, ASA would be used to describe two angles with a side in between them.

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We have two rental car plans.

We have to compare them to find the one that offers the minimum cost.

Plan A has no fixed fee but has a cost of $30 per day:

Plan B has a fixed fee of $15 and a cost per day of $25:

We expect the plan A to have a smaller cost for few days, while plan B becomes more convenient when we increase the number of days.

We can calculate the break even point when both costs are the same:

Then, we know that for less than 5 days, Plan A is more convenient.

For more than 5 days, Plan B is more convenient.

For exactly 5 days, the decision is indifferent as both plans will have the same total cost.

Answer: The only statement that would justify selecting Plan B instead of A is if Marcus rents a car for 5 days.

It is important to know that the yellow area represents all the possible solutions because there all the areas intercept. So, among the options, the correct one is 4 bats, 9 balls because it represents (3,10) which is inside the yellow region.