Use the Angle Addition Postulate to find the measure of the unknown angle

The place where the square root of 75 minus 13 would be plotted on a number line will be C. Between −4 and −5, but closer to −4.

It should be noted that square root means the number multiplied that will give the original value.

In this case, the square root of 75 is 8.66. Then we will subtract 13 from it. This will be:

= 8.66 - 13

= 4.34

Therefore, the place where the square root of 75 minus 13 would be plotted on a number line will be between −4 and −5, but closer to −4.

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Answer:

The person above was correct about the answer! I took the risk for you guys to make sure it was right, and it was! good luck on your exam!! :D

Lucy's dog needs to gain 6 pounds.

Lucy's dog lost 6 pounds so the dog will have to gain 6 pounds.

The population parameter being estimated is the confidence coefficient.

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

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The expression will be 0.01

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do

Rewrite the expression using the negative exponent rule b

b₋ⁿ= 1/b-ⁿ

⁺1/10²

Raise

10

to the power of

2

The result can be shown in multiple forms.

Exact Form:

−

1/100

Decimal Form:

−

0.01

So therefore the expression will be 0.01.

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Step-by-step explanation:

3.1.1 The base of the prism is a rectangle.we know this by checking the properties of the base,that is, opposite side are equal and it has all angles equal to 90°

3.1.2the area of a rectangle is calculated using the formula: A=LxB

where: A is the Area

L is the Length of the shape

B is the breadth

3.1.3 to calculate the volume of a prism we can use the formula V=A(base)xh

where:V is the volume

A is the area of the base

h is the height of the prism

3.1.4V=Axh

=(LxB)xh

=(140mm x 115mm)x 125mm

=2012500mm³

Answer:

true

Step-by-step explanation:

needed to eliminate bias

Answer:

T9=60

Step-by-step explanation:

step 1: solve for x

it is an arithmetic pattern,so the 1st difference is the common difference (d)

therefore...9x+199x+11-(4x+44x+4)=14x+18-(9x+199x+11)

128x+11-48x-4=14x+18-128x-11

80x+7=-144x+7

80x+144x=7-7

224x=0

224x/224=0/224

X=0

step 2: substitute for x

4(0)+44(0)+4=4[1st term]

9(0)+119(0)+11=11(2nd term)

14(0)+18=18(3rd term)

step 3:find the common difference

d=3rd term- 2nd term, 2nd term-1st term

3rd term-2nd term

18-11=7

2nd term-1st term

11-4=7

therefore...d=7

step 4:find the general formula

we use the formula Tn=a+(n-1)d to find the general formula/ nth term

where: Tn is the nth term

a is the first term

n is the number of term

d is the common difference

Tn=a+(n-1)d

=4+(n-1)7

=4+7n-7

=7n-3

step 5:find the 9th term

Tn=a+(n-1)d

=7n-3

=7(9)-3

=60

Answer:

Step-by-step explanation:

A)

A - the population after its decrease

x - the number of years in which there has been a decrease in population

Hence,

[tex]\displaystyle\\A=30000-475x\\A+475x=30000-475x+475x\\A+475x=30000\\A+475x-A=30000-A\\475x=30000-A[/tex]

Divide both parts of the equation by 475:

[tex]\displaystyle\\x=\frac{30000-A}{475}[/tex]

B)

[tex]\displaystyle\\x=\frac{30000-24300}{475} \\\\x=\frac{5700}{475}\\\\x=\frac{12*475}{475} \\\\x=12\ years[/tex]

Answer:

No, because there is an output value with more than one input value.

Step-by-step explanation:

If you are using the same function equation, than you should not get the same output if you use two different inputs.

The slope of the line for the pair of points (4,5) and (5,1) is  m= -4.

As given in the question,

Let the pair of points of the line are

(x₁ ,y₁) = (4, 5)

(x₂ , y₂) = (5,1)

Slope of the line  passing through the pair of points (x₁ ,y₁) = (4, 5) and

(x₂ , y₂) = (5,1) is given by

   m = (y₂ -y₁) / (x₂ - x₁)

⇒ m = (1-5) / (5 -4)

⇒ m = -4

Therefore, the slope of the line for the pair of points (4,5) and (5,1) is

m= -4.

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Answer:

At the 3rd day 160 students caught flu.

Step-by-step explanation:

Consider the provided model P = − t ² + 13t + 130 where 1 ≤ t ≤ 6

The total number of students is represents by P.

We need to find the day that 160 students had the flu.

Substitute the value of P=160 in above formula.

Hence the value of t=10 or t=3

But it is given that 1 ≤ t ≤ 6, Therefore select t=3

Hence, at the 3rd day 160 students caught flu.

An open sentence p(n) over the domain s = {13, 25, 37, 49} such that p(n) is true for half of the integers in s and false for the other half is -

p(n) = {n : n = x², where x = 5,7}.

A set is a clearly defined group of objects. A capital letter is used to name and represent sets. In set theory, the elements of a set can be anything: people, writing of the letters, numbers, shapes, variables, and so on.

For the given question;

A set is given s = {13, 25, 37, 49}.

We have to write this set in the open sentence form/set builder form such that its  true for half of the integers in s and false for the other half.

Thus,

p(n) = {n : n = x², where x = 5,7}.

Its true for 5,7 and false for other values;

For 5 we have 25 value in set S and for 7 we have its square 49 in the set.

Thus, the set in open sentence p(n) = {n : n = x², where x = 5,7}.

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Answer: maximum amount: 75 times a year

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

an equation must and always have an equal sign(=) otherwise it is an expression e.g. 2x-3y or x-2

an equation will look like this: a=b or other equations

The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).

[Refer The table 300.1(C) below.]

Therefore, the metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).

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The correct question is given below:

The metric designators and trade sizes are for identification purposes only and are not actual dimensions as pointed out in the note to Table?

Answer:

[tex] \frac{3}{22} [/tex]

or 0, 14 rounded off to two dp

Answer:-4

Step-by-step explanation:

The answer of [tex](4)(4) -4(-5)(-1)[/tex] is [tex]-4[/tex]

We are supposed to find the answer of [tex](4)(4) -4(-5)(-1)[/tex].

This question is a classic example of the BODMAS rule in mathematics.

According to this rule, first we solve the sum inside bracket (be it any operation like division, multiplication, addition or subtraction) then division operation if present in the question followed by multiplication then addition and followed by subtraction.

Here in the question given [tex](4)(4) -4(-5)(-1)[/tex], we use BODMAS to solve it.

Let x be the answer of the above question, Therefore

[tex]x=(4)(4) -4(-5)(-1) \\x=(4*4)-4(5)\\x=(16)-(20)\\x=(16-20)\\x=-4[/tex]

Therefore[tex](4)(4) -4(-5)(-1)[/tex] = -[tex]4[/tex]

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Answer: 150, 4/2, 0.5/2

Step-by-step explanation:

Answer:

24 25 26

Step-by-step explanation:

guess and check..................

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

The money shared by Natasha and Trisha is $160.

Let the amount paid by the Natasha is 'x'

And the amount Paid by Trisha is 'y';

Their amounts are in the ratio of 5:3

Thus, x/y = 5/3

Trisha shares a amount of $120.

y = $12.

Then, put y = 120 in the ratio.

x/y = 5/3

x = 5y/3

x = (5×12)/3

x = 5×4

x = 40 (amount shared by Natasha)

Total amount  = Natash's share + Trisha's share

Total amount  = 40 + 120

Total amount  = 160

Thus, the total amount of money shared is $160.

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The total number of students whose favorite color was blue is 184 students.

Total number of students Natalie surveyed in her school = 800

Given the percentage of  students who said their favorite color was red = 77%

Now to calculate 77% of the total students is

= 77% of 800

= 77/100 * 800

= 616

The number of students who said red was their favorite color was 616.

So, the number of students who stated that blue was their favorite color

= total students - red color favorite students

= 800 - 616

= 184

Therefore, There are a total of 184 students whose favorite color is blue.

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The letter A is not drawn to scale in the sketch below. construct ABC next to its below-listed sketch The amount of force applied over a specific distance is referred to as work. Since the problem already specifies the force's value and the length of the distance it is exerted across, the quantity of labor completed requires multiplying these two numbers. As demonstrated below:

work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement.

Work: Force times Distance

Work = 250 J x 50 N * 5 m

Work = 250 J

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Answer:

see below

Step-by-step explanation:

angle e is a vertical angle(each of the pairs of opposite angles made by two intersecting lines.) of 114 so e=114 and angle d is the vertical angle of 22 so d=22. and finally angles d+f+e=180

114+22+?=180

?=180-114-22

?=180-136

?=44

e=144

d=22

f=44