Please help, this is geometry and I need to find the measure of the missing angle

Step-by-step explanation:

1 in 3 chance of getting an A in Chemistry

Answer: Option 2

Step-by-step explanation:

\(-7(3x-7)+21x \geq 50\\\\-21x+49+21x \geq 50 \\\\49\geq 50\)

This is false, so there are no solutions.

Answer:

I think it is 7.5 (7 1/2)

Step-by-step explanation:

3.75 divided by 2.5= 1.5

1.5 * 5= 7.5

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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Given:

A dime is worth 10 cents ($0.10).

A quarter is worth 25 cents ($0.25).

Since there are X quarters and Y dimes, the total value is:

0.25x + 0.10y = 4.20

Answer: 0.25x + 0.10y = 4.20.

\(f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54\)

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:

The expression 42/-7 isn't undefined... The quotient is -6

Step-by-step explanation:

The value of the expression 42 / -7 will be -6 the expression is defined.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The given expression is 42/-7. The expression will be solved as below:-

E = -42 / 7

E = -6

Therefore, the value of the expression 42 / -7 will be -6 the expression is defined.

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Answer:

139300

Step-by-step explanation:

9514 1404 393

Answer:

  5. (a) Polygon Angle-Sum Theorem

  6. (c) 360°

Step-by-step explanation:

5. The sum of the angles is shown as 540°. The theorem that tells you the sum of angles in an n-gon is the "polygon angle sum theorem."

__

6. The sum of exterior angles around any (convex) polygon is 360°. (This is where the angle-sum theorem comes from.)

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

Answer:

A. x=32 and x=o

YOUR WELCOME

Answer: A. x = 32 and x = 0

Explanation: Solve using the quadratic formula

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Answer:

-7.225 according to a calculator.

Answer:

$60.90

Step-by-step explanation:

Roy makes $10.15 each time he mows his neighbor's lawn. In April he mowed he lawn 2 times. In May he mowed the lawn 3 times. In June he mowed the lawn 1 time. How much money did Roy make in all?

April: 2 times

May: 3 times

June: 1 time

2 + 3 + 1 = 6 times

6 time * 10.15 each time

= $60.90

Answer:

$60.90

Step-by-step explanation:

Add the number of times Roy mowed in total

April: 2

May: 3

June: 1

2 + 3 + 1 = 6

Multiply that amount by the $10.15 he makes each time he mows

10.15(6) = 60.9

The residual is the difference between the observed etching rate and the predicted etching rate

The residual of a room temperature of 25 degrees Celsius is \(- 2\dfrac{\mu\text{m}}{\text{min}}\)

The least squares regression equation for predicting the etching rate from the room temperature is given as:

\(\hat y = 2 +\dfrac{1}{5} x\)

When the room temperature is 25 degrees Celsius, the regression equation becomes

\(\hat y = 2 +\dfrac{1}{5} *25\)

Evaluate the product

\(\hat y = 2 +5\)

Evaluate the sum

\(\hat y = 7\) --- this represents the predicted etching rate

The residual is calculated as:

Residual = Observed - Predicted

From the question, the observed etching rate is \(5\dfrac{\mu\text{m}}{\text{min}}\)

So, the residual equation becomes

\(r = 5\dfrac{\mu\text{m}}{\text{min}} - 7\dfrac{\mu\text{m}}{\text{min}}\)

Evaluate the difference

\(r = - 2\dfrac{\mu\text{m}}{\text{min}}\)

Hence, the residual of a room temperature of 25 degrees Celsius is \(- 2\dfrac{\mu\text{m}}{\text{min}}\)

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The required polynomial  \(f(x) = x^4+5x^2-6\) has the zeros -1, 1, \(i\sqrt6\), and \(-i\sqrt6\).

What is a polynomial ?

A polynomial is a mathematical expression that consists of variables and coefficients, combined by addition, subtraction, and multiplication, but not division by a variable.

To write a polynomial function of least degree with integral coefficients that has zeros of -1, 1, and \(i\sqrt{6\), we need to include their conjugates as well. This is because complex roots always come in conjugate pairs.

The conjugate of  \(i\sqrt{6\) is  \(-i\sqrt{6\), so our polynomial function will have the following zeros: -1, 1,  \(i\sqrt{6\), and  \(-i\sqrt{6\).

To find the polynomial function, we can use the fact that the product of the factors of a polynomial is equal to the polynomial itself. So, we can start by multiplying out the factors:

\((x+1)(x-1)(x-i\sqrt6)(x+i\sqrt6)\)

Expanding this out gives:

\((x^2-1)(x^2+6)\)

Multiplying these two expressions gives:

\(x^4+5x^2-6\)

So the polynomial function of least degree with integral coefficients that has zeros of -1, 1, and \(i\sqrt{6\) is \(f(x) = x^4+5x^2-6\)

To verify that this polynomial has the desired zeros, we can factor it using the difference of squares:

\(x^4+5x^2-6 = (x^2-1)(x^2+6) = (x-1)(x+1)(x^2+6)\)

And the quadratic factor has no real roots, so it must be the factorization \((x-i\sqrt6)(x+i\sqrt6)\).

Therefore, \(f(x) = x^4+5x^2-6\) has the zeros -1, 1, \(i\sqrt6\), and \(-i\sqrt6\), as required.

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Answer: V≈508.94m³

Step-by-step explanation:

V=π(d

2)2h=π·(18

2)2·2≈508.93801m³

V= 508.9m^3

Step-by-step explanation:

Use the equation for the volume of a cylinder which is \(V=\pi r^{2} h\)

r = 18/2 = 9m and h = 2m so \(V=\pi 81*2=162\pi =508.9380m^{3}\)

Answer:

119

Step-by-step explanation:

Find 10% by dividing by 10, then halve it to get 5%. The answers are 14 and 7 accordingly.

Add them together to get 15%, which is now 21.

Take 21 off of 140 to get the answer, which is 119.

ALTERNATIVE METHOD - CALCULATOR

To solve the question using a calculator and with only one equation, multiply the number by 0.85 to find 85% of the number, and there's your answer.

Answer:   -2

:)

Step-by-step explanation:

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

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Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{Let\ the\ age\ of\ Sophia\ be\ }x\mathrm{\ and\ age\ of\ Mohal\ be\ }x+2.\\\mathrm{Given,}\\\mathrm{Product\ of\ their\ ages = 15}\\\mathrm{or,\ }x(x+2)=15\\\mathrm{or,\ }x^2+2x=15\\\mathrm{or,\ }x^2+2x-15=0\\\mathrm{or,\ }x^2+5x-3x-15=0\\\mathrm{or,\ }x(x+5)-3(x+5)=0\\\mathrm{or,\ }(x+5)(x-3)=0\\\mathrm{i.e.}\ x=-5\ \mathrm{or}\ 3.\)

\(x=-5\ \mathrm{is\ disgarded\ because\ age\ cannot\ be\ negative.}\\\mathrm{So\ the\ age\ of\ Shopia,\ }x=3\)

The difference in the addition of both fractions is that they have different lowest common multiples.

We want to add the fraction expression given as:

¹/₂ + ¹/₄

Taking the Lowest common multiple of 8, we have:

(4 + 2)/8 = 6/8

However, for the second fraction expression, we have:

¹/₂ + ¹/₃

Taking the lowest common multiple which is 6, we have:

(3 + 2)/6 = 5/6

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Answer:

Step-by-step explanation:

(4/x)+6

Answer:

The 90% confidence interval is (0.0131, 0.0845).

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Old process:

125 out of 580, so:

\(p_O = \frac{125}{580} = 0.2155\)

\(s_O = \sqrt{\frac{0.2155*0.7845}{580}} = 0.0171\)

New process:

130 out of 780. So

\(p_N = \frac{130}{780} = 0.1667\)

\(s_N = \sqrt{\frac{0.1667*0.8333}{780}} = 0.0133\)

Distribution of the difference:

\(p = p_O - p_N = 0.2155 - 0.1667 = 0.0488\)

\(s = \sqrt{s_O^2+s_N^2} = \sqrt{0.0171^2 + 0.0133^2} = 0.0217\)

Confidence interval:

\(p \pm zs\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The lower bound of the interval is:

\(p - zs = 0.0488 - 1.645*0.0217 = 0.0131\)

The upper bound of the interval is:

\(p + zs = 0.0488 + 1.645*0.0217 = 0.0845\)

The 90% confidence interval is (0.0131, 0.0845).

Answer:

B) 6

Step-by-step explanation:

9 plus 11 is 20

26-20 is 6 so KL has to be 6

Answer:

1.50 Hours

Step-by-step explanation:

Given:

To Find:

If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Solve:

Price of stock A at 9 a.m.= $12.41

The price has been increasing at the rate of ​$0.12 each hour.

Increase in price after 3 hours = 0.12 × 3 = 0.36

Price of Stock A at noon= 12.41+0.36 =12.77

Let n be the no. of hours after which the prices of both the stocks will be same .

So, Increase in price after n hours = 0.12 n

Price of Stock A after n hours = 12.77+0.12 n

Price of stock B = 13.16

The price has been decreasing at the rate of ​$0.14 each hour.

Let n be the no. of hours

So, Increase in price after n hours = 0.14 n

Price of Stock B after n hours =13.16-0.14 n

ATQ

12.77 + 0.12n = 13.16 - 0.14n

-12.77 + 13.16 = 0.12n + 0.14n

0.39 = 0.26n

0.39/0.26 = n

n = 1.50

Hence the prices of the two stocks be the​ same after 1.50 hours after 12 pm .

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The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

The distributive property is given as:

a(b + c) = ab + ac

3(20 + 16) = 3(20) + 3(16) = 60 + 48 = 108

Also:

4(13 + 14) = 4(13) + 4(14) = 52 + 56 = 108

The distributive property expressions 3(20 + 16) and 4(13 + 14) are equal to 108

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Answer:

$12000 was invested at 11% and $6000 was invested at 10%

Step-by-step explanation:

Total invested amount is 18000

Let the amount of money invested in the account paying 11% be x

Let the amount of money invested in the account paying 10% be y

⇒ x + y = 18000

⇒ y = 18000 - x

Simple interest = PNR

where P is the amount invested, N is the number of years and R is the rate of interest

For the account paying 11%,

SI₁ = x(1)(11%) = x(11%)

For the account paying 10%,

SI₂ = y(1)(10%)

= (18000 - x)(10%)

= 18000(10%) - x(10%)

= 1800 - x(10%)

Total Interest = SI₁ + SI₂

⇒ 1920 = x(11%) + 1800 - x(10%)

⇒ 1920 - 1800 = x(11% - 10%)

⇒ 120 = x(1%)

⇒ \(\frac{x}{100}\) = 120

⇒ x = 120*100

⇒ x = 12000

y = 18000 - x

⇒ y = 18000 - 12000

⇒ y = 6000

$12000 was invested at 11% and $6000 was invested at 10%

Answer: $12,000 at 11%, $6,000 at 10%.

Step-by-step explanation:

Firstly, you would identify the two interest rates as variables.

Assign variable X to the amount invested at 11% and variable Y to the amount invested at 10%. Using those two variables assigned to our interest rates, equate those to the principle of $18,000. After that, multiply the variables by the given interest rates and equate that to the total interest.

x + y = $18,000
0.11x + 0.1y = $1,920

Solve the first equation for Y, multiplying by 100 to even out decimals.

x + y = $18,000
y = $18,000 - x
11x + 10y = $192,000
11x + 10($18,000 - x) = $192,000
11x + $180,000 - 10x = $192,000
x + $180,000 = $192,000
x = $12,000

With that, we now know that the original principle for the 11% interest rate is $12,000, which when subtracted from the total principle of $18,000 gives us the interest rate for the 10% investment as well

$18,000 - $12,000 = $6,000

So, with a total Principle of $18,000, two accounts with interest rates of 11% and 10% respectively, and a total interest accumulation of $1,920, we can gather that the account with an 11% interest rate originally had $12,000 and the account with the 10% interest rate originally had $6,000.