Circle YES or NO The terms -5x and 5x are like terms.

Answer:

5/2

Step-by-step explanation:

Since z=2,

then 5/z becomes 5/2

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

                      \(p = \frac{1}{6}\) =0.16

                     q = 1-p =  1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

      μ = n p

     μ  =  \(12 (\frac{1}{6} ) = 2\)  

The mean of the binomial distribution  = 2

Step(ii):-

The standard deviation of X

                σ \(= \sqrt{npq}\)

               σ = \(\sqrt{12(0.16)(0.84}\)

                  σ = \(1.269\)

The standard deviation of the binomial distribution

                σ = \(1.269\)

Answer:

b

Step-by-step explanation:

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

To solve this question, we use the factor theorem, and using it, the polynomial function is:

\(f(x) = x^3 - 2x^2 - 3x + 6\)

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

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: \(f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0\)

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

Function 1:

\(f(x) = x^3 - 2x^2 - 3x + 6\)

Testing the values:

\(f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0\)

\(f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0\)

\(f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0\)

Thus, since all three conditions are satisfied, \(f(x) = x^3 - 2x^2 - 3x + 6\) is the polynomial function.

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Multiply the total number of houses built by the fraction sold:

120 x 2/3 = (120 x 2)/3 = 240/3 = 80

80 houses were sold.

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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The team charged $2 to wrap a gift with no bow and $3 to wrap a gift with a bow.

Answer:

The answer above is correct B

Step-by-step explanation:

Took the Unit Test Review on edg 2020 correct

Answer:

\(x=6\)

Step-by-step explanation:

So, first we divide the equation by 9 on both sides to get: \(\frac{9\left(x+2\right)}{9}=\frac{72}{9}\)

Then, we simplify to get \(x+2=8\)

Now, to leave x alone we subtract 2 from both sides (\(x+2-2=8-2\)) to get our final answer of \(x=6\)

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Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

20 !

Step-by-step explanation:

80 + 20 = 100.

Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

Answer:

Two examples of points that satisfy this condition is (0,5) and (0,-5).

Step-by-step explanation:

Suppose we have two points:

\(A = (x_{1}, y_{1})\)

\(B = (x_{2}, y_{2})\)

The distance between these points is:

\(D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}\)

In this question:

B(0,0)

A(x,y)

We have to find x and y.

We have that:

\(\sqrt{(x-0)^{2} + (y-0)^{2}} = 5\)

\(\sqrt{x^{2} + y^{2}} = 5\)

\((\sqrt{x^{2} + y^{2}})^{2} = 25\)

\(x^{2} + y^{2} = 25\)

One example of a point:

I will say that x = 0. So

\(0^{2} + y^{2} = 25\)

\(y = \pm \sqrt{25}\)

\(y = \pm 5\)

So two examples of points that satisfy this condition is (0,5) and (0,-5).

The distance formula is a formula that is used to find the distance between two points.

The coordinate of point A is (0, 5)  or   (0, -5).

Let us consider that, coordinate of point A is (x, y).

The distance between (0,0) and (x, y) is computed as by using distance formula.

                 \(Distance=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\5=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\x^{2} +y^{2}=25\)

All values that satisfies above equation, will be the coordinate of point A.

When x = 0,  

                \(y=\sqrt{25} =\pm 5\)

The coordinate of point A is (0, 5)  or   (0, -5).

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is it multipuction then do that the rest

The value of b as described in the task content by means of solving the two equations simultaneously is; b= -10.

The given simultaneous equations as indicated have been manipulated to determine the value of a which is; 0.5 in the task content.

Hence, by substituting a= 0.5 into the equation; 5 = 30a + b; we have;

5 = 30(0.5) + b

b = 5- 15 = -10.

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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The surface area of the cylinder is 408.41 cm^2.

The formula for calculating the surface area of the cylinder is 2πrh.

Here, r is the radius of the cylinder and h is the height of the cylinder.

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The number of hours it will take Santa to visit the whole children is = 10,000hours

The total number of children in UK is = 12million

That is = 12,000,000.

It took Santa 3 seconds to visit each child. That is,

1 child = 3 seconds

Therefore 12,000,000 children = x seconds

x = 12,000,000 × 3 seconds

x = 36,000,000 seconds.

But 3,600 seconds = 1 hour

36,000,000 seconds = x

x = 36,000,000/3,600

x = 10,000 hours.

Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.

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Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

9514 1404 393

Answer:

  (a)  216

Step-by-step explanation:

Put 5 where n is in the formula to find the 5th term. Do the arithmetic.

  a5 = (5 +1)^3 = 6^3 = 216

The 5th term is 216.

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

To find the experimental probability for each outcome, we divide the number of times the cup lands in that position by the total number of tosses:

What is a outcome?

An outcome refers to a possible result of an experiment or event that is used to calculate the probability of that result occurring.

What is meant by experimental probability?

Experimental probability is the probability of an event based on actual, repeated trials or experiments rather than theoretical or mathematical calculations.

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9,513 rounded off to nearest thousands = 10,000

we have given a four digit number 9,513 to round off to nearest thousands.

steps that should be followed for rounding numbers to the nearest thousand:

round 9,513 to nearest thousands:

∵ hundreds place is 5

∴9,513≈10,000

hence, 9,513 nearest thousands is 10,000

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Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Get mileage per gallon by dividing miles traveled by gallons used

\(\frac{125}{5} = 25 mpg\\\)

2. Divide miles you want to travel by the mileage per gallon you got on the first step

\(\frac{400}{25} = 16 gallons\)

A 95% confidence interval can be used to reject the null hypothesis of a two-sided test at the 5% significance level if and only if:

b) the null hypotheses fall in the rejection region.

The rejection region is determined by the chosen significance level, which in this case is 5%. If the null hypothesis falls within the rejection region, then we reject the null hypothesis in favor of the alternative hypothesis.

When constructing a confidence interval, we are trying to estimate the true population parameter within a certain level of confidence. A 95% confidence interval means that we are 95% confident that the true population parameter falls within the interval. If the hypothesized value falls within the confidence interval, we cannot reject the null hypothesis. However, if the hypothesized value falls outside the confidence interval, we still need to perform a hypothesis test to determine if we can reject the null hypothesis or not.

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Answer:

105°

Step-by-step explanation:

This is most likely the answer if the lines are perpendicular... But if It doesn't give you an image of the 2 angles, then the answer is 105°

Answer:

105 degrees

Step-by-step explanation:

Angel 1 and Angel 2 will be the same number if they are vertical.

Answer:

to compare -2.3 and -8/3, we need to put them in the same form. We can convert -8/3 to a decimal by dividing -8 by 3, which gives us -2.66667.

Now we can see that -2.3 is greater than -2.66667, so we can write -2.3 > -8/3.

Step-by-step explanation:

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Mathmetics isn't easy. so study

Matching of the functions domain and range are as follows:

f(x)   = 4-4x ;

Domain:{0,1,3,5,6}

Range;{-20,-16,-8,0,4}

f(x) = 5x - 3

Domain:{-2,-1,0,3,4}

Range:{-13,-8,-3,12,4}

f(x) = -10x

Domain:{-4,-2,0,2,4}

Range:{-40,-20,0,20,40}

f(x) = (3/x) + 1.5

Domain:{-3,-2,-1,2,6}

Range:{0.5,0,-1.5,3,2}.

1) The function f(x) = 4 - 4x

Take Domain:{0,1,3,5,6}

If, we take x=0 and put in the function then we get

f(x)=4-0

f(x)=4

put x=1

f(x) = 4 - 4 =0

put x=3 then we get

f(x)=4-12=--8

put x=5 them we get

f(x)=4-20=-16

put x=6 then we get

f(x)=4-24=-20

Therefore ,range:[-20,-16,-8,0,4}

2) The function f(x)=5x-3

Take domain{-2,-1,0,3,4}

Now, put x=-2 in the function then we get

f(x) = -13

now put x=-1 then we get

f(x)=-5-3=-8

Put x=0 then we get

f(x)=0-3=-3

Put x=3 then we get

f(x)=15-3=12

Put x=4 then we get

f(x)=20-3=17

Therefore , range:{-13,-8,-3,12,17}

3) The function f(x)=-10x

Take domain:{-4,-2,0,2,4}

Put x=-4 in the function then we get

f(x)=40

Put x= -2 then we get

f(x)=20

Put x=0 then we get

f(x)=0

Put x=2 then we get

f(x)=-20

Put x=4 then we get

f(x)=-40

Therefore , range :{-40,-20,0,20,40}

4) The function f(x)= (3/x) + 1.5

Take domain:{-3,-2,-1,2,6}

Put x= -3 in the taken function then we get

f(x)=-1+1.5=0.5

put x=-2 then  we get

f(x)= -1.5+1.5=0

Put x=-1 then we get

f(x)=-3+1.5=-1.5

Put x= 2 then we get

f(x)=1.5+1.5=3

Put x= 6 then we get

f(x)=0.5+1.5=2

Therefore, range : {0.5,0,-1.5,3,2}.

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