Write 286,200 in scientific notation.

Answer:

see explanation

Step-by-step explanation:

It just means plug in the points into f(x)

-6 = -8

-1 = -3

1 = -1

6 = 4

Answer:

∠ ABC = 90°

Step-by-step explanation:

∠ ABC is the angle in a semi circle and is right, that is

∠ ABC = 90°

The angle of ABC is 90 degrees.

Using circle theorem,

The angle subtended by an arc at the centre is twice the angle subtended

at the circumference.

Therefore,

1 / 2 ∠O = ∠ABC

∠O = 180 (angle on a straight line)

Therefore,

∠ABC = 1 / 2 × 180

∠ABC = 180 / 2

∠ABC = 90°

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Answer:

C 2:1

Step-by-step explanation:

10 is double 5

and 2 is double 1

Answer:

C 2:1

Step-by-step explanation:

this is the answer

Answer:

A. cos α = – 3/5

B. Sin β = √3/2

Step-by-step explanation:

A. To find the exact value of cos α , we must obtain the Hypothenus for the triangle.

Please attach photo for explanation.

B. To find the value of sin β, we must determine the opposite in the triangle. Please see attached photo for further details.

Answer:

Substitute the value of 7 into the variable x. Then solve the equation.

f(7) = 10 - 2(7)

f(7) = 10 - 14

Answer:

x= -132

Step-by-step explanation:

Answer:

[tex]x=-132[/tex]

Step-by-step explanation:

[tex]\frac{x}{11}=-12\\ \\x=-12*11\\\\x=-132[/tex]

Answer:

B) Acute triangle

Step-by-step explanation:

In acute triangles, all of the angles are less than 90°. This is true for this triangle :)

I hope this helps!!

Answer:

B) Acute triangle

Step-by-step explanation:

All the angles are less than 90 degrees so all the angles are acute

Answer:

[tex]3y + x = -6[/tex]

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that [tex]m_1 * m_2 = -1[/tex]

Where m_1 = 3 and m_2 is the slope of the secodnd line

[tex]m_1 * m_2 = -1[/tex] becomes

[tex]3 * m_2 = -1[/tex]

Divide both sides by 3

[tex]\frac{3 *m_2}{m_2} = \frac{-1}{3}[/tex]

[tex]m_2 = \frac{-1}{3}[/tex]

The equation of the line can be calculated using the folloing formula

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where [tex](x_1, y_1) = (12,-6)[/tex] and [tex]m_2 = \frac{-1}{3}[/tex]

The equation becomes

[tex]\frac{-1}{3} = \frac{y -- 6}{x - 12}[/tex]

[tex]\frac{-1}{3} = \frac{y + 6}{x - 12}[/tex]

Cross multiply

[tex]-(x - 12)= 3(y + 6)[/tex]

[tex]-x + 12=3y + 18[/tex]

Collect like terms

[tex]12 - 18 = 3y +x[/tex]

[tex]-6 = 3y + x[/tex]

[tex]3y + x = -6[/tex]

Answer:

Step-by-step explanation:

[tex]a_{n}=1+(n-1)(4)[/tex]

Answer:

Brainleist!

Step-by-step explanation:

10^x = 0.1

x =log(0.1)

Decimal Form:  x=−1

Answer:

4

Step-by-step explanation:

[tex]13x-10=2y+12 \\\\y=15 \\\\13x-10=2(15)+12 \\\\13x-10=30+12\\\\13x-10=42\\\\13x=52\\\\x=4[/tex]

Hope this helps!

answer: X would equal 104

Step-by-step explanation:

you would first find the interior angle for the other 2 exterior angles this would lead for  the other 2 interior angles would be 88 and 16 so you would have 180 - 176 so then you do 180- 76 to find the missing angle of X

Missing exterior angle is 104°.

Exterior angles are angles that are parallel to the inner angles of a polygon but lie on the outside of it. The measure of an exterior angle is equal to the sum of the two internal opposite angles.

Given,

In the figure

Measure of exterior angles = 92°, 164°, x°

Sum of exterior angles of triangle is 360°

92° + 164° + x° = 360°

256° + x° = 360°

x° = 360° - 256°

x° = 104°

Hence, 104° is the measure of the missing exterior angle.

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Answer:

x=0

Step-by-step explanation:

solve with cross multiplying

Answer:

7.2222...

Step-by-step explanation:

Well first, to make it easier, remove the fractions by multiplying both sides by the LCM (or 65 in this case).

Thus, we will have:

[tex]65(\frac{4x}{5}+2)=65(\frac{5x}{13}+5)[/tex]

[tex]65(\frac{4x}{5})+65(2)=65(\frac{5x}{13})+65(5)[/tex]

[tex]52x+130=25x+325[/tex]

Now, simply isolate the [tex]x[/tex].

[tex]52x=25x+195[/tex]

[tex]27x=195[/tex]

[tex]x=7.2222...[/tex] or [tex]\frac{65}{9}[/tex]

Answer:

[tex]86.5[/tex]

Step-by-step explanation:

[tex]3^4+5.5[/tex]

[tex]81+5.5[/tex]

[tex]86.5[/tex]

Answer:

86.5

Step-by-step explanation:

3^4 + 5 . 5

Exponents first

3^4=81

81+5.5

86.5

Sorry for my first answer

Answer:

32

Step-by-step explanation:

4 times 8

The number of skirts and blouse to choose is an illustration of combination and permutation.

The number of outfits to she can choose from is 32

The given parameters are:

[tex]\mathbf{Skirts= 4}[/tex]

[tex]\mathbf{Blouses= 8}[/tex]

She can select any 1 of the 4 skirts, and any 1 of the 8 blouses.

So, the number of ways is:

[tex]\mathbf{Ways = 4 \times 8}[/tex]

Multiply

[tex]\mathbf{Ways = 32}[/tex]

Hence, the number of outfits to she can choose from is 32

Read more about combination and permutation at:

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Answer:

Option D is true. ( graph of a vertical line through the point (negative 4,0)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

16 x² - 49 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

16x² - 49

= (4x)² - 7²

= (4x + 7)(4x - 7) → B

Answer:

B

Step-by-step explanation:

There is no number between 16x and 49. So only think about the number being squared for 49; which is 7.

Then 49 is negative, so you must have both positive and negative signs in both parenthesis. Otherwise, positive times positive is positive, and negative times negative is also positive.

4x4 is 16. That's why you put fours in front of Xs.

I am sorry for getting this wrong (if i did)

Answer:

The correct figure is B.

Step-by-step explanation:

The statement provided is:

"If it is an equilateral triangle, then it is an isosceles triangle"

The contra-positive of a statement is determined by switching the hypothesis and conclusion of the provided statement and negating both.

Then the contra-positive of the statement provided will be:

        If it is an isosceles triangle - It is an equilateral triangle.

        If it is not an isosceles triangle - it is not an equilateral triangle.

Thus, the contra-positive of the statement is:

"If it is not an isosceles triangle, then it is not an equilateral triangle."

Thus, the correct figure is B.

Answer:

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Step-by-step explanation:

Step(i):-

Given data the researcher has obtained data that states that 45% of citizens are in favor of the president

probability of success  'p' = 45% or 0.45

                                       q = 1-0.45 = 0.55

Given random sample size 'n' = 8

Let 'X' be the random variable

let 'X' = 6

[tex]P(X=r) = n_{C_{r} } (p)^{r} (q)^{n-r}[/tex]

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

[tex]P(X=6) = 8_{C_{6} } (0.45)^{6} (0.55)^{8-6}[/tex]

[tex]8_{C_{6} } = \frac{8!}{(8-6)!6!} = \frac{8 X 7 X 6!}{2 X 1 X 6!} =\frac{8 X 7}{2 x1} = 28[/tex]

P( X=6) = 28 × 0.00830 ×0.3025

P( X=6) = 0.070

Conclusion:-

The probability that 6 out of the next 8 individuals in his community are in favor of the president.

P( X=6) = 0.070 or 7 percentage

Answer:

28

Step-by-step explanation:

Work Shown:

Use the pythagorean theorem to find x

a^2 + b^2 = c^2

x^2 + 11^2 = 13^2

x^2 + 121 = 169

x^2 = 169 - 121

x^2 = 48

x = sqrt(48)

x = 6.92820323027551

x = 6.93

Answer:

x=6.93

Step-by-step explanation:

This is a right triangle, therefore we can use the Pythagorean Theorem.

a^2+b^2=c^2

where a and b are the legs and c is the hypotenuse.

In this triangle, x and 11 are the legs, because the form the right angle. 13 is the hypotenuse because it is opposite the right angle.

a=x

b=11

c=13

x^2+11^2=13^2

Evaluate the exponents.

11^2=11*11=121

13^2=13*13=169

x^2+121=169

Now we must solve for x by getting x by itself. First, subtract 121 from both sides.

x^2+121-121=169-121

x^2=169-121

x^2=48

x is being squared, so we should take the square root of both sides.

√x^2=√48

x=√48

x=6.92820323

Round to the nearest hundredth. The 8 in the thousandth place indicates we should round the 2 in the hundredth place to a 3.

x=6.93

[tex]\left(3,\,\frac{\big\pi}3\right)[/tex]

Answer: w^6 z^4

Step-by-step explanation:

w^6z^4

w^3^2 z^2^2

w^6 z^4

Answer:

[tex]w^6z^4[/tex]

Step-by-step explanation:

[tex]\text{Apply rule: }(a*b)^n=a^nb^n\\\\(w^3z^2)^2=\left(w^3\right)^2\left(z^2\right)^2\\\\\text{Apply rule: }(a^n)^m=a^{nm}\\\\(w^3)^2=w^{3*2}=\boxed{w^6}\\\\w^6(z^2)^2\\\\(z^2)^2=z^{2*2}=z^4\\\\\boxed{w^6z^4}[/tex]

Answer:

Step-by-step explanation:

Lets find the third angle of the isosceles triangle that has an measure of 29 for one of the angles

Lets use the angle sum theorem and isosceles triangle definition

180=n+29+29

180=n+58

n+58=180

n=180-58

n=122

This angle is supplementary to one of the two congruent angles of the triangle that contains angle x

180=y+122

y+122=180

y=180-122

y=58

The triangle that has angle x is isosceles, thus we can use the following equation to find x

180=58+58+x

180=116+x

116+x=180

x+116=180

x=180-116

x=64 degrees

Answer:

15.5

Step-by-step explanation:

CAH

cos=adj/hyp

cos60= x/31

0.5=x/31

x= 15.5

Answer:

lower quartile: 80.5 upper quartile: 93

Step-by-step explanation:

Fro the above question, we are given the following values for the number of cars 8 dealerships sold.

GMC = 84

Chevrolet = 81

Nissan = 92

Toyota = 92

Ford = 95

Honda = 94

Hyundai = 80

Acura = 72

We are told to find the lower and upper quartile of this set of data.

The lower quartile of a data set can be defined as the median( middle number) of the lower half of the data set. The lower quartile is also known or referred to as (Q1).

The lower quartile is also calculated using the formula

Q1 = 1/4(n + 1) th value

Where n is the number of values in the the date set.

The upper quartile of a data set can be defined as the median( middle number) of the upper half of the data set. The lower quartile is also known or referred to as (Q3).

The upper quartile is also calculated using the formula

Q3 = 3/4(n + 1) th value

Where n is the number of values in the the date set.

Step 1

Arrange the data set from the lowest to the highest number

72, 80, 81, 84, 92, 92, 94, 95

Step 2

Calculate the lower Quartile

Q1 = 1/4(n + 1)th value

n = number of values in the data set = 8 values

Q1 = 1/4(8 + 1)th value

Q1 = 1/4(9)th value

Q1 = 2.25th value

This means it is between the 2nd and 3rd value

2nd value = 80

3rd value = 81

(80 + 81) ÷ 2 = 161 ÷ 2 = 80.5

The Lower Quartile (Q1) = 80.5

Step 3

Calculate the lower Quartile

Q3 = 3/4(n + 1)th value

n = number of values in the data set = 8 values

Q3 = 3/4(8 + 1)th value

Q3 = 3/4(9)th value

Q3 = (27/4)th value

Q3 = 6.75th value

This means it is between the 6th and 7th value

6th value = 92

7th value = 94

(92 + 94) ÷ 2 = 186 ÷ 2 = 93

The Upper Quartile (Q3) = 93

Therefore, the Lower Quartile: 80.5 and Upper Quartile: 93

Answer:

A

Step-by-step explanation:

good luck on the test ,have a nice day :)

edg 2022

Answer:

The answer would be just about 61% or 9/14

Step-by-step explanation:

So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.

The probability of getting 2 greens is 5/31

Probability is the likelihood or chance that an event will occur. It is expressed as:

Probability = Expected outcome/Total outcome

Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:

If green is picked at first, the probability of selecting a green is  5/12

The probability of getting 2 greens = 5/12 × 4/11

The probability of getting 2 greens = 20/132

The probability of getting 2 greens = 5/31

Hence the probability of getting 2 greens is 5/31

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Answer:

[tex]\frac{9}{20}[/tex]

Step-by-step explanation:

Step 1: Multiply 2 together

1/3(3/5) = 3/15

Step 2: Multiply again

3/15(9/4) = 27/40

Step 3: Simplify

(Divide both top/bottom by 2)

27/2 = 9

40/2 = 20

9/20

Answer:  3 < 4x – 9 < 23

Step-by-step explanation: