write √ 45 + √ 20 in the form k √ 5

Answer:

[tex]m=\dfrac{-2}{3}[/tex]

Step-by-step explanation:

The given points are :

(-7,2) and (-4,0)

We have,

x₁ = -7, y₁ = 2, x₂ = -4 and y₂ = 0

The formula for the slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put all the values,

[tex]m=\dfrac{0-2}{(-4)-(-7)}\\\\m=\dfrac{-2}{3}[/tex]

So, the slope of the line is equal to [tex]-\dfrac{2}{3}[/tex].

Answer:

[tex]20a + 35u \to 20a + 35u[/tex]

Step-by-step explanation:

Given

[tex]5(4a+7u)[/tex]

[tex]20a+35u[/tex]

Required

Determine if they are equivalent

This implies that:

[tex]5(4a + 7u) \to 20a + 35u[/tex]

Open bracket

[tex]20a + 35u \to 20a + 35u[/tex]

SInce both sides of the equation are happy, then the expression is correct

Answer:

About 4.5 hours

Step-by-step explanation:

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

Given :

n(American) = 29

n(Chinese) = 16

n(Mexican) = 19

n(Italian) = 28

Expected value = (29 + 16 + 19 + 28) / 4

Where, 4 = sample size

Expected value, E = 23

χ² = (Observed value - Expected value)² / expected value

χ² = (29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Answer:

(29-23)²/23 + (16-23)²/23 + (19-23)²/23 + (28-23)²/23

Step-by-step explanation:

I would but you probobly want just the answer :/

Answer:

x = 29°

Step-by-step explanation:

Answer:

Yes, I can help you for free if you help me on some of my questions

Step-by-step explanation:

Answer:

58 minutes

Step-by-step explanation:

s = 170 - 64 - 48

s = 58

Answer:

Avery spent 58 minutes swimming

Step-by-step explanation:

Answer:

For each table plug x in one at a time into the equation

If the outcome (y) is the same in the table that will be the correct answers

Step-by-step explanation:

For example -2 will be plugged in so y=5/4(-2)-3 which simplifies down to -0.5 looking back at the table we see the y value is 0.5 instead of -0.5 thus allowing us to eliminate that answer choice and repeat the process in the next table. Whichever one holds true and have the correct outcome will be the correct answer

Hope this helps

Answer:

x=9

Step-by-step explanation:

5*9=45

Answer:

105000000

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point 8  places to the right.

After writing the expression in standard form we get 105000000

An exponent is a number or letter written above and to the right of a mathematical expression called the base. It indicates that the base is to be raised to a certain power.

The given question is 1.05 * 10⁸

It has to be written in the standard format

The exponent 8 on 10 means base 10 is multiplied 8 times.

therefore

1.05 * 10*10*10*10*10*10*10*10

On solving this we get

105000000 is what we get after writing the expression in standard form.

To know more about Exponent

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Answer:

ت︎ ت︎ ت︎ ت︎ ت︎ ت︎ ت︎ ♕︎♕︎♕︎have a great day!♡︎

Answer:

75 games

Step-by-step explanation:

5 : 3 =8

8 = 120 games

1= 120÷8

=15

Games the team win:

= 5×15

= 75 games

If  team's win-loss ratio was 5 to 3. If the team played 120 games without a tie then 75 games are win by team.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

The team's win-loss ratio was 5 to 3.

The team played 120 games without a tie.

We need to find how many games did the team win

5x+3x =8x

8x = 120 games

Divide both sides by 8

x= 120/8

x=15

Games the team win:

= 5×15

= 75 games

Hence, 75 games did the team win.

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Answer:

[tex]1. \: 3i[/tex]

2. option D

3. option C

4. option D

5. option C

6. option B

7. option C

8. option D

9. option C

10. option C

Step-by-step explanation:

[tex] \sqrt{ - 1(9)} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{ 9} [/tex]

[tex]i \times \sqrt{9} [/tex]

[tex]i \times \sqrt{ {3}^{2} } [/tex]

[tex]i \times 3[/tex]

[tex]3i[/tex]

[tex] \sqrt{ - 1(8)} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{8} [/tex]

[tex]i \times \sqrt{8} [/tex]

[tex]i \times \sqrt{ {2}^{2} \times 2 } [/tex]

[tex]2i \sqrt{2} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{80} [/tex]

[tex]i \times \sqrt{80} [/tex]

[tex]4i \: \sqrt{5} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{75} [/tex]

[tex]i \times \sqrt{75} [/tex]

[tex]i \times \sqrt{ {5}^{2} \times 3 } [/tex]

[tex]5i \sqrt{3} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{72} [/tex]

[tex]i \times \sqrt{72} [/tex]

[tex]i \times ( {6}^{2} \times 2)[/tex]

[tex]6i \sqrt{2} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{20} [/tex]

[tex]i \times \sqrt{20} [/tex]

[tex]i \times \sqrt{ {2}^{2} \times 5} [/tex]

[tex]2i \sqrt{5} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{27} [/tex]

[tex]i \times \sqrt{27} [/tex]

[tex]i \times \sqrt{ {3}^{2} \times 3} [/tex]

[tex]3i \sqrt{3} [/tex]

[tex] \sqrt{ - 1 \times 12} [/tex]

[tex]i \times \sqrt{12} [/tex]

[tex]i \times \sqrt{4(3)} [/tex]

[tex]2i \sqrt{3} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{125} [/tex]

[tex]i \times \sqrt{ {5}^{2} \times 5 } [/tex]

[tex]5i \sqrt{5} [/tex]

[tex] \sqrt{ - 1} \times \sqrt{180} [/tex]

[tex]i \times \sqrt{ {6}^{2} \times 5 } [/tex]

[tex]6i \sqrt{5} [/tex]

Answer:

The formula used here would be V = 4/3 πr³

Step-by-step explanation:

2r=d

r=12/2

r=6 V=4

4/3 π r3 =4

4/3·π·6(cube)≈904.77868can be written as 905

Answer:

e. The mayor uses a significance level of 0.05 and n = 1,000 voters.

Step-by-step explanation:

Power of a test:

For a high power of a test, two conditions are needed:

Large significance level.

Large sample.

In this question:

A significance level of 0.05 will lead to a higher power than a significance level of 0.01, which means that the answer is between options d and e.

A test with a sample of 1000 has a higher power than a test with a sample of 500, and thus, the answer is given by option e.

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

Answer:

Hello, mizuki here to help!

The correct answer would be C

Step-by-step explanation:

Ok, so the total of homework he got was 50, and the number of homework he got in monday was 16.

So.... it should be expressed as 16/50 which would be 0.32

Answer:

0.32

Step-by-step explanation:

Hope this helps

Answer:PLZ MARK BRAINLIST

Draw a line from the center of the circle to the chord to form a right triangle.

The radius (20) forms the hypotenuse of the right triangle and distance from the center to the chord (16) forms a leg.

Use the Pythagorean Theorem to find the length of the other leg x (which would be 1/2 the length of the chord):

x^2 + 16^2 = 20^

x = 12

So the entire chord length = 12 * 2 = 24 units

Answer:

r1 is given by the formula an=a1r.n-1

Step-by-step explanation:

Answer:

a1 = 2

r1 = 2

yayyyyyyyyyyyyyyyyyyyyyyyyy

===================================================

Explanation:

θ = greek letter theta = reference angle

Using the unit circle, you should find that when θ is pi/3, we have

Dividing sine over cosine gets us tangent

tan(θ) = sin(θ)/cos(θ) = sqrt(3)/2 divide over (1/2) = sqrt(3)

Effectively, the denominators '2' cancel out when dividing the two fractions. The result we get here is not sqrt(3)/2, so we can rule out choice A.

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

Choice B can be ruled out because

cos(0) = 1

sin(0) = 0

So,

tan(0) = sin(0)/cos(0) = 0/1 = 0

which doesn't match with y = pi

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

Following the same ideas as mentioned before:

cos(pi/4) = sqrt(2)/2

sin(pi/4) = sqrt(2)/2 ... it's not a typo, sine and cosine are the same here

tan(pi/4) = 1 after dividing the two items above

We end up with y = 1 as the screenshot shows, so (pi/4, 1) is one point on the graph of y = tan(x).

Choice C is one of the answers

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

Choice D however is not one of the answers because

sin(pi/2) = 1

cos(pi/2) = 0

tan(pi/2) = undefined, because the denominator cosine is 0 in this case

So there's a vertical asymptote at x = pi/2 for y = tan(x)

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

Choice E is another answer, because,

sin(pi) = 0

cos(pi) = -1

tan(pi) = sin(pi)/cos(pi) = 0/(-1) = 0

This shows (pi, 0) is a point on y = tan(x).

The graph is shown below. Points C and E are on the blue tangent curve, while everything else isn't.

I used GeoGebra to create the graph. Desmos is also a handy tool that can perform similar tasks.

Answer:

Try RAB NE BANA DI JODI ( A MATCH MADE BY GOD)

Music is good. lyrics too.

Step-by-step explanation:

Answer:

arc AC = 202°

Step-by-step explanation:

Based on the tangent-angle secant rule, the angle formed outside a circle by a secant and a tangent is equal to one-half the difference between the far arc and the near arc.

Thus:

m<P = ½(arc AC - arc CB)

Substitute

78° = ½(arc AC - 46°)

Multiply both sides by 2

2*78 = arc AC - 46

156 = arc AC - 46

Add 46 to both sides

156 + 46 = arc AC

202° = arc AC

arc AC = 202°