Describe the domain and range of each function using inequality or set-builder notation.

Only need questions 14 and 16

Answer:  D

Step-by-step explanation:

It would take forever if i explained, so here you go.

First Triangle:

This is a special right-angled triangle and is known as 45°-45°-90° triangle

To solve for any side length, we can use the following procedure.

As you can see, the sides opposite to the 45° are equal and in this case, both are 3

Then the side opposite 90° will be

Therefore, the side a = 3√2

Second Triangle:

This is a special right-angled triangle and is known as the 30°-60°-90° triangle.

To solve for any side length, we can use the following procedure.

As you can see, the side opposite the 30° is the smallest.

The side opposite the 60° is 2 times the side 30°

The side opposite the 90° is √3 times the side 30°

For the given case, we want to know the side opposite of side 30°

We are given the side opposite the 60° that is 8

Therefore, side h = 4

[tex]1.25[/tex]

[tex]3 \times \frac{5}{8} - 2 \times \frac{3}{8} = \frac{29}{8} - \frac{19}{8} = \frac{10}{8} = 1.25[/tex]

A square number is the result of multiplying an integer or number by itself exponentially. Square numbers are always positive numbers. Positive sign (+) is produced when the negative sign is multiplied by itself. Option B:  64/49 is not equal to 8/7

Option B:  64/49 is not equal to 8/7

64/49 = (8/7) ^2 but not 8/7

whereas all the other options:

16/14 = 8/7

32/28 = 8/7

72/63 = 8/7

Hence, Option B:  64/49 is not equal to 8/7

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The occurrence is known as Simpson's paradox.

What is Cross tabulation?

The quantitative analysis of the relationship between several variables is done through cross tabulation. Cross tabulation, also referred to as contingency tables or cross tabs, groupings variables to reveal the relationships between them. It also demonstrates how correlations vary depending on which group of variables are used.

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as Simpson's paradox.

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Considering the definition of an inequality, for more than 67 number of programs Howie's Printing will cost more than Mint Print.

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

An inequality contains one or more unknown values, in addition to certain known data.

The solution of an inequality is the value or set of values that the variable has so that the inequality is fulfilled.

Being "x" the number of program printed, you know that:

If Howie's Printing cost more than Mint Print, the inequality that expresses the previous relationship is

Howie's Printing charges > Mint Print charges

19.99 + 0.25x > 29.99 + 0.10x

Solving:

0.25x - 0.10x > 29.99 - 19.99

0.15x > 10

x > 10÷0.15

x > 66.67≅ 67

Finally, the number of programs is more than 67.

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Answer: 576

Step-by-step explanation:

Step-by-step explanation:

how much less than negative 2 is negative 5​:

-7   -6   -5   -4   -3  -2   -1   0   1   2   3   4   5   6   7

What you are looking for is the difference between -5 and -2:

= -5 - (-2)

= -5 + 2

difference -3

so: -5 is 3 smaller than -2

Answer:

Discrete data

Step-by-step explanation:

Discrete data is information that can only take certain values.

Answer: 3708.61

Step-by-step explanation:

The first thing I did was subtract, 3747

                                                    - 38.39

                                              -----------------------

                                                  3708.61

*when you hear the word (difference) you will know to subtract.

difference: Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value. The product of this sum is the difference between the two numbers. Therefore the difference between 45 and 100 is 55.

Answer:

x = -6

Explanation:

Lineal function

y = mx+b

Replacing with the values given:

y = 2x+7

y=2(8)+7

y= 23

The system of inequalities can be given as

[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]

Inequality is the relationship between two or more expressions or values that are not equal to one another.

We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.

If a represents the quantity of cupcakes bought and y the quantity of donuts bought

A total of 13 products had to be purchased.

Equations can be given as

[tex]a+y\geq 13\\3a+1.5y\leq 30[/tex]

On graphing the inequalities we get

The intersection of the two inequalities is the required region

For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts

The total cost is 3(2)+1.5(14)=27

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The most appropriate choice for heat  will be given by-

Amount of heat absorbed by the lead = 1455.12 J

What is heat?

Heat is the form of energy which caused in us the sensation of hotness or coldness.

SI Unit of heat is Joule                              

Here,

Mass (m) of block of lead = 300 gram

Specific heat capacity (c) of block of lead = 0.129 J/g°C.

Increase in temperature ([tex]\Delta[/tex]t)  of block of lead= 59.9 - 22.3

                                                                           = 37.6° C

Amount of heat absorbed by the lead = [tex]300 \times 0.129 \times 37.6[/tex]

                                                                = 1455.12 J

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The quotient of the fraction (1748/38) is 46.

As per the question statement, we are provided with a division operation, of with a dividend of 1748, and a divisor of 38.

We are required to calculate the quotient of the above mentioned division.

Here, it is mentioned in the question statement that we will have to calculate the quotient of our concerned division without using the long division method, but still, we will have to show the steps of our solving procedure.

Let us first factorise both of our dividend and divisor, which goes as,

[1748 = (2 * 2 * 19 * 23)], and [38 = (2 * 19)]

Hence, [(1748/38) = {(2 * 2 * 19 * 23)/(2 * 19) = (2 * 23) = 46]

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Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

What are mixed fractions?

Converting each mixed fraction to an improper fraction and then decimal to compare between two values, we get-

Cooper's jump rope length= [tex]4\frac{2}{5}[/tex] = 22/5 =4.4 m

Luke's jump rope length = [tex]4\frac{3}{4}[/tex] = 19/4 = 4.75 m

Luke's jump rope is greater than cooper's by 4.75-4.4 =0.35m

Comparing both lengths, we get that Luke's jump rope is greater than cooper's when the given mixed fraction was converted to an improper fraction and then a decimal by 0.35m.

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The position of the point T will be shown in figure.

What is mean by Midpoint?

A point is equidistance from the endpoints of the line segment, is called the midpoint of the line segment.

Given that;

X is the midpoint of BT.

Now,

Since, X is midpoint of BT.

So, we get;

BX = XT

Hence, The distance between the points B and X is same as the distance between the points T and X.

Here, The distance between the points B and X = 3

So, The distance between the points T and X = 3

Hence, The position of the point T is 3 units far from the point X.

Therefore,

The position of the point T will be shown in figure.

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Answer:

A

Step-by-step explanation:

A is the only one that has multiple points on one x-axis, and a function only has one point per x-axis.

According to the Pythagorean theorem, the square of the length of the hypotenuse, or side across from the right angle, in a right triangle, equals the sum of the squares of the other two sides. Accordingly, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.

1) 9, 7 , 13

Yes, because the two smaller sides added together are larger than the third side.

2) 26, 12, 11 No, because adding the two smaller sides together does not make the third side larger.

3) 11, 2, 9

No, because the two smaller sides added together do not exceed the third side.

4) 6,11,12

Yes, because the two smaller sides added together are larger than the third side.

Triangle inequality: What is it?

The Triangle Inequality Theorem states that the sum of any two of a triangle's sides must be greater than the third side.

When the sum of the radii of two arcs in a triangle is, the arcs will only meet at their points of intersection.

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After reflection along the y-axis, the coordinates of C' is (4, -2).

So, the coordinates of C':

(Refer the the graph attached below)

Therefore, after reflection along the y-axis, the coordinates of C' is (4, -2).

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Answer:

9: m = 15h

10: d = 6.5t

13: No because the ratios are not equivalent as they start with$450.

Remember that the sum of the three interior angles of a triangle is 180°.

Now, let's call the remaining angle x. We would have:

Solving for x,

From this, we get that the remaining anlge has to measure 50°. Now, as we already have a side that measures 4 feet, the other two sides are constrained; neither of them can have any measurement that's different to the one that constructs the remaining 50° angle.

Therefore, only one triangle can be constructed.

Answer: x = -6

Step-by-step explanation: First, you want to set up the equation as -3x-8 = 10, as we’re trying to find x. Then you would add 8 to both sides to get rid of the -8. This leaves you with -3x = 18. Then you would divide by -3 on both sides to isolate the x. This leaves you with x = -6. If you plug -6 back into the equation:

-3(-6) -8

18-8

10, so g(-6) is 10.

Answer:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]

Step-by-step explanation:

Given equation:

[tex]d=6t[/tex]

where:

To complete the table, substitute each value of t into the given formula and solve for d:

[tex]t=2 \implies d=6(2)=12[/tex]

[tex]t=4 \implies d=6(4)=24[/tex]

[tex]t=6 \implies d=6(6)=36[/tex]

Enter the found values of d into the table:

[tex]\begin{array}{|c|c|c|c|c|}\cline{1-5} \textsf{Time (s),}\;t \phantom{\dfrac11}& \phantom{.}0 \phantom{.}& 2 & 4 & 6\\\cline{1-5} \textsf{Distance (yd)},\;d \phantom{\dfrac11}& 0 & 12 & 24 & 36\\\cline{1-5} \end{array}[/tex]

Answer:

the answer is D because the female part of the flower is named by pistil

Answer:

D. pistil

Step-by-step explanation:

The pistil is the female part of the flower.

The standard form of equation of line is Ax + By = C, where A and B are constant.

Thus, a linear equation to variables x and y has the following standard form: Ax + By = C, where A, C and B are constant.

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