please help me 60 points please show all work this is due in 15 minutes
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

x/3-8=-2

3x – 6 = -12

x/-3=8

Answer:

none of the

Step-by-step explanation: none of them

Answer:

yes

Step-by-step explanation:

Answer:

It is C or t < 6

Step-by-step explanation:

The line starts at 6 and goes left. The way I remember which way it goes is the greater than or less than sign looks like the tip to the arrow

< ----   and  ---- >

It is an open circle so it will not be a greater than or equal to sign

The equation of the regression line for the given data can be determined by performing linear regression analysis.

The regression line represents the best-fit straight line that describes the relationship between the independent variable (number of years studied) and the dependent variable (proficiency exam grades). The equation of the regression line can be expressed as y = a + bx, where y is the predicted value of the dependent variable, x is the independent variable, a is the y-intercept, and b is the slope of the line.

To find the equation of the regression line, we first need to calculate the slope and y-intercept using the given data. We can use statistical software or a calculator to perform the regression analysis and obtain the values of a and b. Once we have these values, we can plug them into the equation of the regression line to get the final equation.

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Answer:

See below.

Step-by-step explanation:

The total distance traveled by the dust in 2.70 minutes is 345.96 m.

Given that the spin rate of the CD is 410 rpm and the piece of dust is 4.97 cm from the center. The first step in solving this problem is to determine the distance traveled by the dust in one revolution. It is known that the circumference of a circle is equal to 2πr, where r is the radius of the circle.

The circumference of the CD is given by: C = 2πr= 2π(4.97)= 31.27 cm The distance traveled by the dust in one revolution is equal to the circumference of the CD. It is, therefore, 31.27 cm. Next, we need to determine the total number of revolutions made by the dust in 2.70 minutes.

The number of revolutions per minute is given by the spin rate of the CD, which is 410 rpm. We can, therefore, calculate the total number of revolutions made by the dust in 2.70 minutes as follows: Number of revolutions in 2.70 minutes = 410 rpm × 2.70 min= 1107 revolutions Finally, we can calculate the total distance traveled by the dust in 2.70 minutes as follows: Total distance = Distance per revolution × Total number of revolutions= 31.27 cm/revolution × 1107 revolutions= 34595.89 cm= 345.96 m

Therefore, the total distance traveled by the dust in 2.70 minutes is 345.96 m.

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Check the picture below.

let's firstly find side "t"

\(\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ t = \sqrt{18^2+46^2~-~2(18)(46)\cos(158^o)} \implies t = \sqrt{ 2440 - 1371168 \cos(158^o) } \\\\\\ t \approx \sqrt{ 2440 - (-1535.42) } \implies t \approx \sqrt{ 3975.42 } \implies t \approx 63.05 \\\\[-0.35em] ~\dotfill\)

\(\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( R )}{18}\approx\cfrac{\sin( 158^o )}{63.05}\implies 63.05\sin(R)\approx18\sin(158^o) \\\\\\ \sin(R)\approx\cfrac{18\sin(158^o)}{63.05} \implies R\approx\sin^{-1}\left( ~~ \cfrac{18\sin( 158^o)}{63.05} ~~\right)\implies \boxed{R\approx 6.14^o}\)

Make sure your calculator is in Degree mode.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03)

To determine the margin of error for the 95% confidence interval, we need to use the formula:

Margin of Error = Critical value * Standard error

The critical value for a 95% confidence level can be obtained from the standard normal distribution table, which corresponds to 1.96. The standard error can be calculated using the following formula:

Standard error = \(\sqrt{(p * (1 - p) / n)}\)

Given that the proportion of North Carolina residents planning to set off fireworks is estimated to be 51% (0.51) based on the survey, we can substitute the values into the formula. However, the sample size (n) is not provided in the question, so we need to determine it in the next part.

To find the required sample size for a margin of error less than 3%, we can rearrange the formula for the margin of error:

\(n = (Z^2 * p * (1 - p)) / (E^2)\)

Here, Z represents the critical value, p is the estimated proportion (0.51), and E is the desired margin of error (0.03). Substituting these values into the formula, we can solve for the required sample size.

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The probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

The number of times Jack flips the coin = 10.

The number of outcome on each flip = 2 {viz. Heads and Tails}.

Thus, the number of outcomes after flipping the coin 10 times = 2¹⁰.

The number of outcomes of getting all heads or tails = 2.

Thus, the probability = 2/2¹⁰ = 1/2⁹.

This can make a binomial distribution when repeated for 365 days, with parameters, n = 365, and p = 1/2⁹, showing P(X = x) as,

P(X = x) = nCx.pˣ.qⁿ ⁻ ˣ, where q = 1 - p.

Thus, we can calculate the probability P(X > 1) as follows:

P(X > 1)

= 1 - P(X ≤ 1)

= \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\)

= 1 - {365C0.(1/2⁹)⁰.(1 - 1/2⁹)³⁶⁵ + 365C1.(1/2⁹)¹.(1 - 1/2⁹)³⁶⁴}

= 1 - {0.489883478 + 0.34991677}

= 0.160199752.

Thus, the probability of P(X > 1) can be shown as the expression \(1 - \sum_{x = 0}^{1} 365Cx(\frac {1} {2^9})^x(1 - \frac {1} {2^9})^{365 - x}\), which has the value, P(X > 1) = 0.160199752.

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Answer:

sin30: 1/2   cos30: (sqrt3)/2    tan60: (sqrt3)

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

hopes this helps

Answer: 4.6

Step-by-step explanation:

Answer:

= 4.600 or 4.6

Solution:

We have the equation:

78.2 ÷ 17 = 4.600

Calculated to 3 decimal places.

The minimum sample size required is 94 to obtain a margin of error of 0.04236.

To find the minimum sample size required to obtain a margin of error of 0.04236.

we need to use the formula for sample size determination for proportions:

n = (Z² × p × (1 - p)) / E²

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence (we'll assume a 95% confidence level, so Z ≈ 1.96)

p = estimated proportion (from the available data)

E = margin of error

Given:

Total adults in the town = 88

Adults with health insurance = 69

First, we calculate the estimated proportion (p) of adults with health insurance:

p = (69 / 88)

Next, we substitute the values into the formula and solve for n:

n = (1.96² × (69/88) × (1 - 69/88)) / (0.04236²)

n = 93.966

The minimum sample size required is 94 to obtain a margin of error of 0.04236 (or 4.236%).

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Answer:

1. \( log_{10} \: 35 - \: log_{10}17.5 \)

Answer: 0.331 \: aprox. \)

2. \( log_{3} \: 27 + 2 log_{3} \: 9 - log_{3} \: 54\)

Answer: -9 log_{3}

Explanation:

\( log_{10}35 - log_{10}17.5 \\ = log_ \frac{35}{17.5} \\ = log_{10}0.5 \\ = log_{5} - log_{10}10 \\ = log_{5 - 1} \\ = 0.669 - 1 \\ = 0.331 \: aprox. \)

Answer:

300 Backpacks each week]

Step-by-step explanation:

dont have an explanation srry but the answer is totally 300 backpacks a week

Answer:

30

Step-by-step explanation:

Hence, the answer to Katie's question is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is a mathematical expression consisting of variables (also called indeterminates) and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and exponentiation. The variables in a polynomial can only have non-negative integer exponents.

For example, the expression \(3x^2 + 2x - 5\)is a polynomial, where x is the variable, 3 and 2 are coefficients, and the exponents of x are 2 and 1, respectively.

he correct answer is "Yes, because the product of two polynomials is always a polynomial."

A polynomial is an expression that can be written as a sum of terms, where each term is a product of a coefficient and one or more variables raised to non-negative integer exponents.

In the given expression, 3a3b is a monomial (a polynomial with only one term) and (8ab + 4a³b+ +565) is a polynomial with three terms.

The product of a monomial and a polynomial is always a polynomial, as each term in the polynomial is multiplied by the same monomial. Therefore, the simplified product is a polynomial.

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Answer:

150

Step-by-step explanation:

300-150

Answer:

15

Step-by-step explanation:

1. 1/2(a+3)-b=-6  ⇒ a+3-2b= -12 ⇒ a-2b= -15

2. 3a-2b= -5

subtract the equations  to eliminate 2b:

then

then

The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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Answer:

The Pythagorean theorem is a form of equation when dealing with the 3 sides of a right triangle. The formula is a^2 + b^2 = c^2. c^2 would be the side that equals the same amount of the other sides combined. Or a hypotenuse.

Note:

Hope this helps! Good Luck!

-kiniwih426

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Answer:

1) 25

2) 2

3) f(g(1)) = 42

Step-by-step explanation:

1) Given that f(x) = 4x^2  + 9

If x = -2

f(-2) = 4(-2)^2 + 9

f(-2) = 4(4) + 9

f(-2) = 16 + 9

f(-2) = 25

2) Given that f(x) = 4x - 6

y = 4x - 6

Replace y  with x

x = 4y - 6

MAke y the subject of the forfmula

4y = x+ 6

y = (x+6)/4

SInce x = 2

f^(-1)(2) = (2+6)/4

f^(-1)(2) = 8/4 = 2

3) If f(x) = 6x and g(x) = x+6

f(g(x)) = f(x+6)

f(x+6) = 6(x+6)

Since x = 1

f(g(1)) = 6(1+6)

f(g(1)) = 6(7)

f(g(1)) = 42

The expressions are not equal and the explanation is wrong because the index forms have different exponential values.

The correct answer is  14^-1/3

Equivalent expressions are known as expressions that are the same solution but differ in the mode of their arrangement.

From the information given, we have the index forms;

(14^0/14^3)^1/3=14^-2/3

It is important to note that exponents with zero equals 1.

Then, we have that;

1/14^1/3 = 14 ^-2/3

Take the inverse of the exponent

14^-1/3 is not equal to 14^-2/3

Hence, the correct answer is 14^-1/3

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Answer:

CE..AE...Segment addition postulate

Step-by-step explanation:

i got these answers from the quiz

Answer:

1.A  

2.C

3.A

Step-by-step explanation:

Edgen2020

Answer:

19 dimes and 13 quarters

Step-by-step explanation:

Let's start by defining some variables:Let's call the number of dimes the man has "d".

Let's call the number of quarters the man has "q".We know that the man has 32 coins in total, so we can write:

d + q = 32We also know that the total value of the change is 515 cents. Since dimes are worth 10 cents and quarters are worth 25 cents, we can write an equation for the total value in cents:

10d + 25q = 515

We now have two equations with two variables, which we can solve simultaneously. Let's rearrange the first equation to solve for one of the variables:

d = 32 - q

We can substitute this expression for "d" into the second equation:

10(32 - q) + 25q = 515Simplifying and solving for "q", we get:

320 - 10q + 25q = 515

15q = 195

q = 13

So the man has 13 quarters. We can substitute this value into the first equation to find the number of dimes:

d + 13 = 32

d = 19

Therefore, the man has 19 dimes and 13 quarters.

There are 19 dimes and 13 quarters.

Let x represent the number of dimes and y represent the number of quarters.

There are a total of 32 coins, so:

x + y = 32

We know that the total value of the change is 515 cents

. The value of x dimes is 10x cents and the value of y quarters is 25y cents. So:

10x + 25y = 515

We can simplify the first equation by solving for one variable in terms of the other:

x + y = 32x = 32 - y

Now we can substitute this expression for x into the second equation:

10(32 - y) + 25y = 515

Simplify and solve for y:

320 - 10y + 25y = 515

15y = 195y

y = 13

So there are 13 quarters. We can find the number of dimes by substituting y = 13 into x + y = 32:x + 13 = 32x = 19So there are 19 dimes.

So, There are 19 dimes and 13 quarters.

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Answer:

i would say 42

Step-by-step explanation:

5^3 + 6[2 - 4(7-8)^2] = 125 + 6(-2)

= 125 - 12

= 113

The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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Answer:

B 11,250

Step-by-step explanation:

Answer:

11,250

Step-by-step explanation:

Answer:

y= -1/4x + 4

Step-by-step explanation:

4x-y = 12

4x - 12 = y

Slope = 4

Slope of the perpendicular line: -1/4

Point (8,2)

y-intercept: 2 - (-1/4)(8) = 2 + 2 = 4

Answer:

rate = 24*100/(400*2) = 3%

Step-by-step explanation: