2 x 10 with a power of 2
Its supposed to be simplified i need help pls ;-;


If you can explain it to ty!

Step-by-step explanation:

hopefully it is clear and understandable

:)

Answer:

m = 2/3

Step-by-step explanation:

Answer:

\( \frac{2}{3} \)

Step-by-step explanation:

slope is

\( m = \frac{rise}{run} = \frac{y 2 - y1}{x2 - x1} \)

(0,0) & (3,2)

\( m = \frac{2 - 0}{3 - 0} = \frac{2}{3} \)

The distance that Mr. Stein drove can be represented by the expression: \(140 - x\)

A mathematical phrase made up of one or more variables, constants, and arithmetic operations like addition, subtraction, multiplication, and division is known as an algebraic expression. Exponentiation and other mathematical operators could also be present.

Let's assume that Mr. Smith drove "x" miles before Mr. Stein took over the driving.

Then, the total distance they traveled is 140 miles.

So, the distance that Mr. Stein drove can be represented by the expression:

140 - x

Therefore, This is because if Mr. Smith drove "x" miles, then the remaining distance that needed to be covered by Mr. Stein would be the difference between the total distance of 140 miles and the distance already driven by Mr. Smith.

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A 1.5 standard deviations above the mean IQ score is 122.5.

An expression that depicts the relationship between two or more numbers and variables is called an equation.

A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.

Giving the z score are:

z is calculated as (raw score - mean) / standard deviation.

with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:

1.5 = (x - 100)/15

x = 122.5

A 1.5 standard deviations above the mean IQ score is 122.5.

The Complete Question is IQ score.

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Answer:

0.75

Step-by-step explanation:

P(A) = 9+9 = 18

P(B) = 9+9 = 18

P(A and B) = 9

P ( A or B) = 18+18-9 = 27

Probability = ans / total = 27/36 = 0.75

The probability that either event will occur is given as follows:

P(A or B) = 0.75.

We have,

The figure about the possible outcomes are shown in image.

Now, The formula used to calculate the probability is given as follows:

P(A or B) = P(A) + P(B) - P(A and B).

The total number of events from the Venn's diagram is given as follows:

4 x 9 = 36.

Hence the probability of each outcome is given as follows:

P(A) = (9 + 9)/36 = 0.5.

P(B) = (9 + 9)/36 = 0.5.

P(A and B) = 9/36 = 0.25.

Hence the or probability is given as follows:

P(A or B) = P(A) + P(B) - P(A and B).

P(A or B) = 0.5 + 0.5 - 0.25

P(A or B) = 0.75.

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Answer:

66.7

Step-by-step explanation:

hope this helps

Answer:

40 is 60% of 66.7

Step-by-step explanation:

By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7

hope this helps! =)

Answer:

17/15 _53/6

Step-by-step explanation:

The other is problem 1 and the other is problem 2

PROBLEM #1:

As the problem is, we are adding a negative. I can change this to be a subtraction problem. It looks like this: \(2\frac{1}{3} - 1\frac{1}{5}\).

To be able to add or subtract fractions/mixed numbers, we have to first get common denominators. A common denominator is a shared multiple between two numbers. So, we need to find the smallest number that both 3 and 5 (the denominators of each fraction) can do into evenly. In this case, that number is 15! To transform the fractions to have common denominators, we will multiply 1/3 by 5/5 and 1/5 by 3/3 (multiply the top and bottom by 5 or 3 so that the denominator is 15). Here is our new problem: \(2\frac{5}{15} - 1\frac{3}{15}\).

All that's left to do now is subtract! Since our first fraction is larger (this is important!) we don't need to do any borrowing. So, we'll subtract 2 - 1 = 1, and 5/15 - 3/15 = 2/15. Therefore, if we put those pieces back together, we get 1 2/15 (\(1\frac{2}{15}\)).

PROBLEM #2:

For this problem, we have two negative mixed numbers. In this case, we will simply be adding the negative numbers because both are negative. For example, -2 + -4 = -6. Here is the rewritten problem: \(-3\frac{1}{2} + -5\frac{1}{3}\).

Our first step is to get common denominators. In this case, that common denominator will be 6: \(-3\frac{3}{6} + -5\frac{2}{6}\).

Now, we have to add! -3 + -5 = -8, -3/6 + -2/6 = -5/6. Once we've added the parts, we can put them back together to form the answer: -8 5/6 (\(-8\frac{5}{6}\)).

Hope this helps!! :)

The solution of x is x = 0, x =2 and x = -5

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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Answer:

80

Step-by-step explanation:

Add up all 3 and divide by 3 (how much numbers there are) 65+90+85=240÷3=80

Answer:

the value of Jericho's house in 2019 is approximately $698,597.60.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A is the final amount (the value of the house in 2019)

P is the initial amount (the value of the house in 2010, which is $450,000)

r is the annual interest rate (which is 5%, or 0.05, in this case)

n is the number of times the interest is compounded per year (which is 1, since the interest is compounded annually)

t is the time period (in years)

Using the formula, we can find the value of Jericho's house in 2019 as follows:

A = P(1 + r/n)^(nt)

= $450,000(1 + 0.05/1)^(1*9)

= $450,000(1.05)^9

= $450,000(1.551328)

= $698,597.60

Therefore, the value of Jericho's house in 2019 is approximately $698,597.60.

Answer:

Step-by-step explanation:

A. -1/3x

B. -x

c.-5/4x

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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If one item is chosen at random, the probability that it is less than 13.1 inches long is equal to 0.4176.

First of all, we would determine the z-score of this data set. Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:

Z-score = (x - μ)/σ

Where:

Substituting the given parameters into the formula, we have;

Z-score, z = (13.1 - 13.6)/(2.4)

Z-score, z = -0.5/2.4

Z-score, z = -0.208

If one item is chosen randomly, the probability that it would be less than 13.1 inches long is given by this mathematical expression:

P(x < 13.1) = P(z < -0.208)

P(z < -0.2083) = 0.4176.

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In linear equation, -1.15  is the value of 21 over 4 − 32 over 5.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                                An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value. 

(21/4) - (32/5)

=   21 * 5 - 32 * 4/ 20

=  105 -  128/20

= -1.15

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Answer:

11

Step-by-step explanation:

f(16) = 7 + 16/4

= 7 + 4

= 11

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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Answer:

(- \(\frac{1}{3}\), \(\frac{3}{4}\) )

Step-by-step explanation:

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

Multiplying (1) by 12 and (2) by 8 and adding will eliminate the y- term

108x + 96y = 36 → (3)

48x - 96y = - 88 → (4)

Add (3) and (4) term by term to eliminate y

156x = - 52 ( divide both sides by 156 )

x = \(\frac{-52}{156}\) = - \(\frac{1}{3}\)

Substitute this value into either of the 2 equations and solve for y

Substituting into (1)

9(- \(\frac{1}{3}\) ) + 8y = 3

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = \(\frac{6}{8}\) = \(\frac{3}{4}\)

solution is (- \(\frac{1}{3}\), \(\frac{3}{4}\) )

Answer:

.001 or 1000

Step-by-step explanation:

5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000

It is given that,

The area of the semicircle is calculated as,

The area of the rectangle is calculated as,

The area of the shaded region is calculated as,

The formula substituted into the equation I = P(1 + t)^t - P is 730 = 180,000(1 + 0.08)^0.08 - 180,000

I = P(1 + t)^t - P

where,

I = $1,000 - $270

= $730

P = $180,000

r = 4%

t = 30 days to years

= 1/12

= 0.08333333333333 years

I = P(1 + t)^t - P

730 = 180,000(1 + 0.08)^0.08 - 180,000

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Answer: 672

Step-by-step explanation:

consecutive numbers are numbers that come one after another. If 99 is the largest you need to find the numbers before it.

93+94+95+96+97+98+99=672

The sum of all the consecutive numbers will be 672.

Let the numbers be a, a+1, a+2, a+3, a+4, a+5, a+6.

Since the largest number is 99, therefore the smallest number will be:

a + 6 = 99

a = 99 - 6

a = 93

Therefore, the numbers are 93, 94, 95, 96, 97, 98, and 99. Therefore, we'll add the numbers together to get the sum and this will be:

The sum of all the consecutive numbers will be 672.

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Answer:

a.40 ounces b.18 and 12 ounces

Step-by-step explanation:

A.40 ounces because 2 pounds into ounces is 32 oz+8 oz=40 oz

b. 2 pounds is 32oz+4oz=36/2=18oz

1 pound 16+8=24/2=12oz

Answer:

20%

Step-by-step explanation:

The computation is shown below:

Let something be x

\(\frac{1}{5} = \frac{x}{10} = \frac{x}{100} = x\%\)

\(0.2 = \frac{x}{10} = \frac{x}{100} = x\%\)

So if we see that 0.2 would be equivalent to the \(\frac{x}{10}\) and then \(\frac{x}{100}\) after than x percentage

Therefore according to this the x percentage is 20%

Hence, the x percentage is 20%

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Answer:

I think it's A.

Sorry if you get this wrong!

Answer:

Step-by-step explanation:

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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The next digit in the quotient of 438 ÷ 6 after 7 is 3

The missing information in the question is added at the end

Caleb's workings is given as

   7

6  438

    42

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

      18

To determine the next digit we simply divide 18 by 8

18 divided by 6 is 3

So, we have

   73

6  438

    42

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

      18

      18

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

     0

The quotient has been calculated as 73

So, the next digit is 3

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Complete question

Caleb uses the standard algorithm to find 438 ÷ 6.

Part of his work is shown.

   7

6  438

    42

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

      18

What is the next digit in the quotient?

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

Hope this helps

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Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.