Asher reads 2 books a week. Kyla reads 7 books a month. Sawyer reads 90 book a year. Who
reads more books?

Answer:

307

Step-by-step explanation:

Use the percent proportion to solve:

Percent/100 = Part/Whole

In this case:

62/100 = 190.5/W    (W for whole, we are trying to find the whole)

Cross multiply:

62w = 100(190.5)

Multiply 100 by 190.5:

62w = 19,050

Solve for w:

Divide both sides by 19,050 to isolate the variable and get the answer

19,050/62 = 307.25.....

~ After rounding to the nearest percent, the answer is 307

\(c = \sqrt{a2 + b2} \)

6²-- 8²

18--16

2

Hence the third value 2

Step-by-step explanation:

I think this is a helpful for you

Answer:

1) 12*12 = 144 ft

2) (8*12)/2 = 48 in

3) 3.14*9^2 = 254.34 in

4) 180 - 105 = 75

5) 180 - 70 - 52 = 58

6) x = 8 in (Properties of 3-4-5 triangles)

7) 3/8 or 0.375

8) 1/8 or 0.125

9) 10*5*6 = 300 in^3

10) 16*16*16 = 4096 in^3

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

Answer:

60 math problems.

Step-by-step explanation:

30/2.5=12

12*5=60

Answer:

m divided by three equals 3 times two m plus 1.

Step-by-step explanation:

Answer:

The term completes the product so that it is the difference of squares for (−5x−3)(−5x+__) is 3.

To make the product of (−5x−3)(−5x+___) the difference of squares, we need to find a term that, when multiplied by −5x, gives a square term and when multiplied by −3, gives a square term as well.

The difference of squares is a special case of a polynomial product where we have two terms that are each perfect squares, and their product can be simplified by using the formula a^2 - b^2 = (a + b)(a - b).

In this case, we have a binomial with two terms that are not perfect squares, but we can still use the difference of squares formula if we can find the two terms that differ only by a sign. Here 3 is the term that can be used to complete the product

To learn more about squares click on,

https://brainly.com/question/24740734

#SPJ4

Complete question is:

Which term completes the product so that it is the difference of squares?

(−5x−3)(−5x+________)

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

Learn more about statistic here

https://brainly.com/question/15525560

#SPJ11

There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

https://brainly.com/question/32386318

#SPJ11

Teen awareness refers to the level of knowledge, understanding, and consciousness that teenagers have about various issues, including but not limited to social, environmental, health-related, and global concerns.

1) In Colorado, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

2) In Nevada, teens' awareness of seat belt messages increased by __ percentage points.
The answer choices provided are a.) 6 b.) 14 c.) 17 d.) 23.

3) The result of changes in teen seat belt use is unclear as you did not provide any specific information or data to analyze.

To know more about Awareness VISIT:

https://brainly.com/question/32640467

#SPJ11

The solution for R2 is:

R2 = (R1*R)/(R1+R)

We can begin by multiplying both sides of the equation by the product of R2 and R1 to eliminate the denominators:

1/R = 1/R1 + 1/R2

Multiplying both sides by R1*R2:

R1R2(1/R) = R1R2(1/R1) + R1R2(1/R2)

Simplifying:

R2 = (R1*R)/((R1+R))

Therefore, the solution for R2 is:

R2 = (R1*R)/(R1+R)

Learn more about equation  here:

https://brainly.com/question/29657983

#SPJ11

The given system of equations can be written as a vector equation (7x1 + x2 - 3x3) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

An equation is a mathematical statement that expresses the equality of two expressions. It usually consists of two expressions separated by an equals sign (=). The expressions may contain numbers, variables, and operations, such as addition, subtraction, multiplication, and division. The solution of an equation is the value of the variable that makes the equation true.

Vector equation:

(7x1 + x2 - 3x3) = 7

Part 2
Write the system as a matrix equation. Select the correct choice below and fill in any answer boxes to complete your choice.

Matrix equation:

=

A =

[7 1 -3
3 2 2]

B =

[7
0]

Conclusion:

The given system of equations can be written as a vector equation (7x1 + x2 - 3x3) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

To know more about equation click-
http://brainly.com/question/2972832
#SPJ1

The value of the expression  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  is 1/9.

Exponent rules are a set of mathematical properties that help simplify expressions with exponents and make it easier to manipulate them in algebraic operations.

The fractional exponent or power rule:

The rule states that for any real numbers a and b, and any positive integer n, the expression \(a^{\frac{1}{n} }\) is equal to the nth root of the fraction a/b. That is:   \(a^{\frac{1}{n} }\)  = \(\sqrt[n]{a}\)

Here we have

=>  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  

Using the fomrula, \(a^{\frac{1}{n} }\)  = \(\sqrt[n]{a}\)

=> \(27^{ \frac{1}{3} b} = (\sqrt[3]{27})^{b}\)  

As we know 27 = 3³  

=> \((\sqrt[3]{27})^{b} = (\sqrt[3]{3^{3} })^{b} = 3^{b}\)  

=> \(9^{ \frac{1}{2} a} = (\sqrt {9})^{a}\)    

As we know 9 = 3²

=> \((\sqrt {9})^{a} = [\sqrt{3^{2} } ]^{a} = 3^{a}\)    

Hence the expression will be

=>  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} } = \frac{3^{b} }{3^{a} }\)

=>  \(\frac{3^{b} }{3^{a} } = \frac{1}{3^{a-b} }\)

=>  \(\frac{1}{3^{a-b} } = \frac{1}{3^{2} }\)

=>  \(\frac{1}{3^{2} } = \frac{1}{9}\)

Therefore,

The value of the expression  \(\frac{27^{\frac{1}{3}b} }{9^{ \frac{1}{2} a} }\)  is 1/9.

Learn more about Exponent rules at

https://brainly.com/question/5497425

#SPJ1

a) The graph of the object's velocity versus time can be seen below. The x-axis is labelled "time (s)" and the y-axis is labelled "velocity (m/s)". The important points on the graph are when the velocity is 0 (t = 0, 3, and 10 s) and the maximum velocity (t = 5 s).
b) The object's change in velocity over the first 3 seconds of its motion is 20 m/s.
c) The object is instantaneously at rest at t = 0, 3, and 10 s.
d) The object's total displacement over the first 10 seconds of its motion is 100 m.

Learn more about velocity

brainly.com/question/17127206

#SPJ11

The maximum area that the farmer can enclose for the rectangular garden is 488 sq ft and the dimensions of the rectangular garden are 24ft and 12 ft respectively.

It is given that a farmer decided to enclose a rectangular garden with one side using the barn of a tree and other 3 sides with 48 ft of fencing.

Let the length of the rectangle be y and the breadth of the rectangle be u.

So perimeter of the fencing needed = y + 2u (as one side is barn)

∴ y + 2u = 48

⇒ y = 48 - 2u (equation 1)

Area = yu (equation 2)

Putting the value of variable y from equation 1 in equation 2 we have,

Area = (48-2u)u

∴ Area = 48u - 2\(u^{2}\)

⇒ Area = -2\(u^{2}\) + 48u

⇒ Area = -2(\(u^{2}\) - 24u)

⇒ Area = -2(\(u^{2}\) - 24u + 144) + 288   (using completing the square method)

⇒ Area = -2\((u-12)^{2}\) + 288

So the maximum area is 288 sq units as for any value of u the area value will decrease as seen from the above equation.

So if Area = 288

Then yu = 288

⇒ u = 288/y equation 3

Putting this value in Perimeter equation 1 we have,

y = 48 - 2u

⇒ y = 48 - 2 x \(\frac{288}{y}\)

⇒ \(y^{2} = 48y - 576\)

⇒ \(y^{2} - 48y + 576 = 0\)

⇒ \((y-24)^{2}\) = 0

Solving we get y = 24 ft

Hence the value of u is calculated as follows:

⇒ u = 288 / y

⇒ u = 288/ 24 = 12 ft

The maximum area that the farmer can enclose is 488 sq ft and the dimensions of the rectangle are 24ft and 12 ft respectively.

To learn more about perimeter click here:

https://brainly.com/question/2142493

#SPJ4

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

Learn more about set in math at

https://brainly.com/question/30339736

#SPJ11

Answer:

1/81

Step-by-step explanation:

P(H,H,H,H)=16/81

fourth root of 16/81= 2/3

so the probability of getting tails would be 1/3

probability of getting 4 tails would be:

P(T,T,T,T)=(1/3)^4

=1/81

The probability of getting 4 tails when the coin is thrown 4 times is 1/81

We have:

P(Head 4 times) = 16/81

This means that:

P(Head)^4 =  16/81

Take the 4th root of both sides

P(head) = 2/3

The probability of a tail is calculated as:

P(tail) = 1 - P(Head)

This gives

P(tail) = 1 - 2/3

P(tail) = 1/3

When thrown 4 times, we have:

P(tail)^4 = (1/3)^4

P(tail) = 1/81

Hence, the probability of getting 4 tails when the coin is thrown 4 times is 1/81

Read more about probability at:

https://brainly.com/question/25870256

#SPJ6

Answer:

-7=11*-8+b

-7=-88+b

+88 both sides

81=b

y=11x+81

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

To know more about voltage , visit:

https://brainly.com/question/26446532

#SPJ4

Answer:

In other words, x = r x = r is a root or zero of a polynomial if it is a solution to the equation P (x) =0 P ( x) = 0.

Step-by-step explanation:

Answer:

15.1feet

Step-by-step explanation:

From the triangle, we are given the following

<S = 25 degree

US = 15 feet = Adjacent

Required

ST = Hypotenuse

Using the trig identity

Cos theta = adj/Hyp

Cos 25 = 15/ST

ST = 15/cos25

ST = 15/0.9912

ST = 15.13feet

Hence the measure of ST is 15.1feet

Answer:

the correct answer is acually 16.6

Step-by-step explanation: