What are exponents and how do you evaluate them?

Answer:

X = 1

Y = -2

Step-by-step explanation:

Your welcome random person

Answer:

A and C

Step-by-step explanation:

The shapes that have 4 congruent sides are squares and rhombi.

In this country, the currency is called sirktian. If a person earns 0 to 26,400 sirktians, then they have to pay 0 sirktians in tax. If they earn more than that, then they have to pay a flat tax of 27% on everything over 26,400 sirktians.

Thus, for an individual earning 28,700 sirktians, the tax they owe would be:Tax on the first 26,400

sirktians = 0 sirktians Tax on the remaining 2,300 sirktians (28,700 - 26,400) = 27% of 2,300 sirktians = (27/100) × 2,300 sirktians = 621 sirktians

Therefore, the total tax owed by the individual earning 28,700 sirktians would be 0 + 621 = 621 sirktians.The piecewise function that describes the amount of taxes paid, T, as a function of sirktians earned, x, for individuals paying personal income tax in this country is:T

(x) = {0 if 0 ≤ x ≤ 26,400; 0.27(x - 26,400) if x > 26,400}

The graph of this function is shown below:

Therefore, the correct graph is (D).

For such more question on sirktians

https://brainly.com/question/8434128

#SPJ8

The equivalent expression of -6(b + 2) + 8 is -6b - 4

The expression is given as

-6(b + 2) + 8

Expand

-6b - 12 + 8

Evaluate the like terms

-6b - 4

Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

If someone gets ' T ' minutes of talk time for the cost $ D so the rate of getting talk time per dollar is given by = T / D.

Given that the Tiffany pays a sum of $ 40 for talking 160 minutes on her cell phone.

So for $ 40 Tiffany gets the talk time of 160 minutes on her cell phone.

For $ 1 Tiffany gets the talk time of = 160 / 40 = 16 / 4 = 4 minutes on her cell phone.

Hence, Tiffany gets 4 minutes of talk time on her cell phone per dollar cost.

To know more about talk time here

https://brainly.com/question/29297010

#SPJ4

Given:

The area model.

To find:

The area as a sum and area as a product.

Solution:

The four terms of the area model are \(2x^2,10x, 3x, 15\).

The area as a sum is the sum of all the terms of given area model.

Area as a sum = \(2x^2+10x+3x+15\)

                        = \(2x^2+13x+15\)

The area as a product is the factor form of sum of all the terms of given area model.

Area as a product = \(2x^2+10x+3x+15\)

                        = \(2x(x+5)+3(x+5)\)

                        = \((x+5)(2x+3)\)

Therefore, the area as a sum is \(2x^2+13x+15\) and the area as a product is \((x+5)(2x+3)\).

Answer: -1.9f - 21

Step-by-step explanation:

Combined the like terms.

Correct me if I am incorrect.

The scout troop will need 20 feet of binding tape to go around all four triangular pennants.

To find how much restricting tape expected to circumvent four three-sided flags, we want to initially find the edge of one flag and afterward duplicate that by four.

Since the different sides of every flag are both 2 feet in length and the third side is 1 foot long, the edge of one flag can be found by adding these three sides together: 2 + 2 + 1 = 5 feet.

To find the aggregate sum of restricting tape required for four flags, we duplicate the edge of one flag by four: 5 feet x 4 flags = 20 feet of restricting tape. In this manner, the scout troop will require 20 feet of restricting tape to circumvent each of the four three-sided flags.

To learn more about triangular geometry, refer:

https://brainly.com/question/13124942

#SPJ4

Answer:

d=r*2

πtimes the diameter

Step-by-step explanation:

diameter is twice the radius

there is nothing like that

Answer:

y = 33X^2 + 55

Step-by-step explanation:

by expanding the equation you provided, we will get the answer

be reminded, the general form of a quadratic equation us,

y =ax^2+bx+c

Answer: A

Step-by-step explanation:

I don't have anything to explain sorry :(

I hope this helps though!

Answer

A

I changed it so no one would be confused.

To find the sum of 305 and 84, proceed as follows:

The answer is 389.

Answer:

6

Step-by-step explanation:

Well first we need to tfraph the following equation,

2y - x = -6

Look at the image below

Thus,

by looking at the graph we can tell that the x-intercept is 6.

Hope this helps :)

Answer:

Step-by-step explanation:

Method 1

\(2y -x = -6\\Let ; y =0\\2(0) -x =-6\\-x =-6\\x = 6\\\\ (6 , 0 )\)

Method 2

\(x - interept = -c/a\\a = -1\\b =2\\c = 6\\\\x - intercept =\frac{ -(6)}{-1} \\\\x - intercept = 6\)

Answer: $160

35 + 25x

Step-by-step explanation:

Based on the information given, the equation that'll be used to calculate the amount that'll be paid when there's an over the limit will be:

= 35 + (25 × x)

= 35 + 25x

where x = data uses over the limit.

Since Aubrey used 5 GB over the limit, the amount that'll be paid will be:

= 35 + 25x

= 35 + 25(5)

= 35 + 125

= $160

Answer: 17

Because it is less than 18

Making the equation false

Answer:

a) \(\overrightarrow{PQ} = (8,8, 2)\) or \(\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k\), b) The magnitude of segment PQ is approximately 11.489, c) The two unit vectors associated to PQ are, respectively: \(\vec v_{1} = (0.696,0.696, 0.174)\) and \(\vec v_{2} = (-0.696,-0.696, -0.174)\)

Step-by-step explanation:

a) The vectorial form of segment PQ is determined as follows:

\(\overrightarrow {PQ} = \vec Q - \vec P\)

Where \(\vec Q\) and \(\vec P\) are the respective locations of points Q and P with respect to origin. If \(\vec Q = (13,13,3)\) and \(\vec P = (5,5,1)\), then:

\(\overrightarrow{PQ} = (13,13,3)-(5,5,1)\)

\(\overrightarrow {PQ} = (13-5, 13-5, 3 - 1)\)

\(\overrightarrow{PQ} = (8,8, 2)\)

Another form of the previous solution is \(\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k\).

b) The magnitude of the segment PQ is determined with the help of Pythagorean Theorem in terms of rectangular components:

\(\|\overrightarrow{PQ}\| =\sqrt{PQ_{x}^{2}+PQ_{y}^{2}+PQ_{z}^{2}}\)

\(\|\overrightarrow{PQ}\| = \sqrt{8^{2}+8^{2}+2^{2}}\)

\(\|\overrightarrow{PQ}\|\approx 11.489\)

The magnitude of segment PQ is approximately 11.489.

c) There are two unit vectors associated to PQ, one parallel and another antiparallel. That is:

\(\vec v_{1} = \vec u_{PQ}\) (parallel) and \(\vec v_{2} = -\vec u_{PQ}\) (antiparallel)

The unit vector is defined by the following equation:

\(\vec u_{PQ} = \frac{\overrightarrow{PQ}}{\|\overrightarrow{PQ}\|}\)

Given that \(\overrightarrow{PQ} = (8,8, 2)\) and \(\|\overrightarrow{PQ}\|\approx 11.489\), the unit vector is:

\(\vec u_{PQ} = \frac{(8,8,2)}{11.489}\)

\(\vec u_{PQ} = \left(\frac{8}{11.489},\frac{8}{11,489},\frac{2}{11.489} \right)\)

\(\vec u_{PQ} = \left(0.696, 0.696,0.174\right)\)

The two unit vectors associated to PQ are, respectively:

\(\vec v_{1} = (0.696,0.696, 0.174)\) and \(\vec v_{2} = (-0.696,-0.696, -0.174)\)

Answer:

C

Step-by-step explanation:

Use the definition of absolute value.

• If 4x + 3 ≥ 0, then

|4x + 3| = 15

4x + 3 = 15

4x = 12

x = 3

• Otherwise, if 4x + 3 < 0, then

|4x + 3| = 15

-(4x + 3) = 15

4x + 3 = -15

4x = -18

x = -9/2

Then the solutions are {-9/2, 3}.

Answer:

256

Step-by-step explanation:

Answer:

256 cm

Step-by-step explanation:

16 x 4 = 64

16 x 8 = 128

8 x 8 = 64

64 + 64 = 128  + 128 = 256

same answer as the one above

1810

Answer:

50°

Step-by-step explanation:

65 + 65 +C = 180

130+C = 180

C = 180 - 130 = 50

Hi there!

\(\large\boxed{C = 50^o}\)

A line contains an angle of 180°, so:

∠C = 180° - 65° - 65°

∠C = 180° - 130°

∠C = 50°

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

Answer:

If statement(1) holds true, it is correct that \(\small \frac{r}{s}\) is an integer.

If statement(2) holds true, it is not necessarily correct that \(\small \frac{r}{s}\) is an integer.

Step-by-step explanation:

Given two positive integers \(r\) and \(s\).

To check whether \(\small \frac{r}{s}\) is an integer:

Condition (1):

Every factor of \(s\) is also a factor of \(r\).

\(r \geq s\)

Let us consider an example:

\(s = 5^2 \cdot 2\\r = 5^3 \cdot 2^2\)

\(\dfrac{r}{s} = \dfrac{5^3\cdot2^2}{5^2\cdot2} = 10\)

which is an integer.

Actually, in this situation \(s\) is a factor of \(r\).

Condition 2:

Every prime factor of s is also a prime factor of r.

(But the powers of prime factors need not be equal as we are not given the conditions related to powers of prime factors.)

Let

\(r = 2^2\cdot 5\\s =2^4\cdot 5\)

\(\dfrac{r}{s} = \dfrac{2^3\cdot5}{2^4\cdot5} = \dfrac{1}{2}\)

which is not an integer.

So, the answer is:

If statement(1) holds true, it is correct that \(\small \frac{r}{s}\) is an integer.

If statement(2) holds true, it is not necessarily correct that \(\small \frac{r}{s}\) is an integer.

Since the p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that union efforts to organize have increased union membership.

We can use a one-sample proportion test to determine if the proportion of union members in the sample is significantly different from the population proportion of 11.3%.

The null hypothesis is that the population proportion is equal to 11.3%:

H0: p = 0.113

The alternative hypothesis is that the population proportion is greater than 11.3%:

Ha: p > 0.113

The sample proportion is P = 58/400

= 0.145

The standard error of the sample proportion is:

SE = √(p*(1-p)/n)

= √(0.113*(1-0.113)/400)

= 0.0197

The test statistic is:

z = (P - p) / SE

= (0.145 - 0.113) / 0.0197

= 1.6244

The p-value for this test is the probability of getting a z-score of 1.6244 or greater, assuming the null hypothesis is true:

p-value = P(Z > 1.6244)

= 0.0515 (using a standard normal distribution table)

To know more about hypothesis test,

https://brainly.com/question/30588452

#SPJ11

Answer:

If she ate 2 out of 6 pieces that is 1/3 because six can be broken up into 3 equal parts of 2 slices each.

Step-by-step explanation:

2/6 divide the top (numerator) and the bottom (denominator) by 2.

2 goes into 2 one time so the number at the top of the fraction becomes 1.

2 goes into 6 three times so the number at the bottom becomes 3.

That is how you get 1/3rd. She ate 1/3rd of the pizza.

1. How many fractions did she eat? What does that mean? She didn't eat fractions. She ate pizza. Check the question again.

2. He is wrong. She ate 1/3rd of the pizza.

3. It never tells you how many slices the pizza was cut into. If the pizza was cut into 8 slices then they ate 8/8 pieces which is 1/1 which is 1.

Step-by-step explanation:

that is quite a lot of failing TVs.

if 5% are failing, this means you have a "chance" of 5/100 = 1/20 that your TV is among them.

that means the expected costs for replacement in the next 3 years are

1750 × 1/20 = 175/2 = $87.50

minus the $200 replacement plan the expected value is of course negative :

87.5 - 200 = -$112.50

and if your TV breaks after more than 3 years, the expected value is actually -1750 - 200 = -$1,950

which is the principle of replacement plans, and why I never buy one.

but sure, for the 5% with broken TVs this pays off big time (it is kind of a lottery).

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

\(Ratio = \frac{B}{A}\)

\(Ratio = \frac{4}{2}\)

\(Ratio = 2\)

Considering Side of A = 3 and Side of B = 5

\(Ratio = \frac{B}{A}\)

\(Ratio = \frac{5}{3}\)

\(Ratio = 1.67\)

There's no need to check further, since the two ratios calculated so far do not have the same value;

Hence, one quadrilateral is not a scale of the other

Answer: 7

Explanation:

List out the factors of 120 until we hit a gap

1,2,3,4,5,6,8

Note that 7 is not shown above. We can see that 120/7 = 17.14 approximately meaning that 7 doesn't go evenly into 120. So this is why 7 isn't a factor. Something like 3 is a factor because 120/3 = 40 is a whole number result.

Also, 7 is prime. The only factors of 7 are 1 and itself. This means that 7 and 120 do not have any common factors other than 1. The GCF of 7 and 120 is 1, leading to the two numbers being relatively prime

Side note: The term "coprime" is sometimes used in place of "relatively prime"