Is 1 considered a prime number??

Answer:

3 × 5 ^ n

Step-by-step explanation:

since the series is exponential, the ratio between adjacent terms is 5.

nth term of geometric/exponential series is given by:

nth term = first term × (ratio)^(n-1)

= 15 × 5^ (n-1)

= 15 × 5^n × 5^-1

= 3× 5^n

Answer: ? = 72

Step-by-step explanation:

   We will set up a proportion to solve.

\(\displaystyle \frac{?}{56} =\frac{45}{35}\)

   Now, we will cross-multiply.

? * 35 = 56 * 45

35? = 2,520

? = 72

Answer:

Step-by-step explanation:

Comment

This is a question that needs choices. I will go by sig digits.

Givens

1 gallon =  3.8 liters.

685 gallons were used.

Formula

1 gallon         685 gallons            

======   =      ==========

3.8 liters               x

Solution

1/3.8 = 685/x                    Cross multiply

1*x = 685*3.8

x =  2603 liters.                There are 2 significant digits in 3.8. So round to 2 places.

Answer

Liters = 2600 Liters

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The sides in order from smallest to largest are ...

  AC, BC, AB

Then the opposite angles in order from smallest to largest are ...

  B, A, C

Let's consider the choices:

A. m∠A < m∠C --- true

B. m∠B = m∠C --- true

C. m∠A < m∠B --- false

D. m∠B < m∠A < m∠C --- true

The true statement about the rates is that (b) Jade paid more per gallon than Carly.

From the question, we have the following parameters that can be used in our computation:

Carly:

Paid $17.50 for 7 gallons

Jade:

Paid $45 for 15 gallons

The rate per gallon can be calculated using the following equation

Rate per gallon = Amount/Number of gallons

Substitute the known values in the above equation, so, we have the following representation

Carly = 17.50/7 = $2.5 per gallon

Jade = 45/15 = $3 per gallon

By comparison.

3 is greater than 2.5

Hence, Jade paid more per gallon than Carly.

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Complete question

Carly paid $17.50 for 7 gallons of gas and Jade paid $45 for 15 gallons of gas. Which of the following statements is true?

Carly paid more per gallon than Jade.

Jade paid more per gallon than Carly.

Carly and Jade paid the same amount per gallon.

Answer:

\frac{\left(x+5\right);p}{\left(x+5\right);}=\frac{2x^2}{\left(x+5\right);}-\frac{6x}{\left(x+5\right);}-\frac{1}{\left(x+5\right);};\quad \:x\ne \:-5p=\frac{2x^2-6x-1}{;\left(5+x\right)};\quad \:x\ne \:-5

Step-by-step explanation:

Step-by-step explanation:

The diagonal is the hypotenuse of a right triangle with legs 40 in and ? inches.    Use Pythagorean Theorem

54^2 = 40^2 + ? ^2

?^2 = 54^2 - 40^2

?^2 = 1316

? = 36.3 in

Answer: 36.3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

The top answer is right! Took the test.

The graphs that represents the equation ; graph Y is the correct one.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We have given a function;

y = 2/5x + 2

If we put x = 0 then we get y = 2

The point (0, 2) lies in the Graph Y.

From the given options in graph we can see that graph Y is the correct one.

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Answer: 100 pi, or 314.15926...

Step-by-step explanation:

The circumference is 2r pi. r is 10. The area is r squared pi. 10 squared in 100, so 100 pi.

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

The mean of the number of free throws made is 79.9

The standard deviation of throws is 3.46

Karissa is a college basketball player who makes 85% of her free throws. If Karissa takes 94 free throws then,

For binomial distribution B(94,0.85)

n  = no. of throws

P = probability of the success

mean = np

         = 94*0.85

         = 79.9

standard normal = (npq)^0.5

                            = (94*0.85*0.15)^0.5

                            = 3.46

the mean of the number of free throws made is 79.9

and standard devation of trows is 3.46

mean = np

standard deviation = (npq)^0.5

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Answer:

379-68=p

Step-by-step explanation:

379 is the total number of tissues. If you take away the single pack tissues then you will have the amount of three pack tissues

The correct equation that shows the number of tissue three-packs, p, Johnson's sold in January is, p = 379 - 68.

Use the concept of subtraction defined as:

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that,

At Johnson's Pharmacy, tissue boxes can be purchased as single boxes or in packs of three boxes.

Here, During January, Johnson's sells a total of 379 boxes of tissues, 68 as single boxes, and the rest in three-packs.

Let us assume that, the number of tissue three-packs = p

Hence we get;

p = 379 - 68

p = 311

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The estimated 95% confidence interval for the mean is [10.4, 13.6], making answer choice (a) correct.

To estimate the 95% confidence interval for the mean, we can use the formula

CI = X ± t(α/2, n-1) * (s/√n)

where X is the sample mean, s is the sample standard deviation, n is the sample size, t(α/2, n-1) is the t-value for the given confidence level and degrees of freedom, and α is the significance level (1 - confidence level).

For a 95% confidence interval with 15 degrees of freedom (n-1), the t-value is approximately 2.131.

Plugging in the values, we get

CI = 12 ± 2.131 * (3/√16)

CI = 12 ± 1.598

CI = [10.402, 13.598]

Therefore, the closest answer choice is (a) [10.4, 13.6].

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Answer:

I am going to solve the question you have given without the use of the chemical equation.

The chemical formula of sodium chloride is NaOH

Molar mass: 40.0 g/mol

Molar mass of sodium: 23 g/mol

The mass of NaOH we have is 400kg which would be 400000g

Recall n = m/M (where n is the number of moles, m is the given mass, M is the molar mass):

Step-by-step explanation:

Using the given information, the expression for f(x) is 3x - 2

From the question, we are to determine the the value of f(x)

The given expression is

36^x•6^(x-2)

That is

\(36^{x} \times 6^{x-2}\)

This can be expressed as

\(6^{2x} \times 6^{x-2}\)

Applying one of the laws of indices, we get

\(6^{2x+x-2}\)

= \(6^{3x-2}\)

Since the expression was rewritten as

\(6^{f(x)}\)

By comparison,

f(x) = 3x - 2

Hence, the expression for f(x) is 3x - 2

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If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

If you conduct a two-way between-subjects ANOVA and discover that the interaction F-test is important, the next thing to do is to interpret the results.

You may be interested in estimating the main effects of each variable and the interaction effect.

In a two-way ANOVA, a statistical method is employed to identify the interactions between two variables.

ANOVA stands for analysis of variance.

It is a statistical method used to compare two or more populations by analyzing the variance between them.

F-test is a statistical method used to compare two variances or to test hypotheses about whether two population variances are equal.

It can be used to compare more than two variances in ANOVA.

When the interaction effect in a two-way between-subjects ANOVA is important, the interpretation of the main effects of each variable and the interaction effect must be done.

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

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Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

Answer:

d and b

Step-by-step explanation:

Answer:

100 cm^2.

Step-by-step explanation:

Area of shaded part = area of the whole rectangle - area of the triangle

Area of rectangle = 14 * 10 = 140.

Area of the triangle = 1/2 * base * height

= 1/2 * 10 * (14-6)

= 5 * 8

= 40

So required area = 140 - 40 = 100 cm^2.

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

P (A)  = desired/total

P(A) = 15

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P (B) = 1/4

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

P (AandB) = (1/5) ( 1/4 )

P (AandB) = 1/20

so the probability is 5%

Answer:

The inequality is;

p≤ 10.53

where 10.53 is the highest value she can spend on other stationery

Step-by-step explanation:

Here, we want to write an inequality

The amount she has to spend is 33

This means she can spend less than or equal to this amount

she has spent 22.47 and still has p to spend

Mathematically;

p + 22.47 ≤ 33

p ≤ 33-22.47

p ≤ 10.53

Step-by-step explanation:

large is 3 times larger than medium.

2 1/4 × 3 = 6 3/4

large is 6 times larger than small.

1 1/8 × 6 = 6 6/8 = 6 3/4

medium is 2 times larger than small.

1 1/8 × 2 = 2 2/8 = 2 1/4

In the second step of solving the inequality 5x - 9 < 91, the property used is the addition property of inequalities.

This property states that adding the same value to both sides of an inequality does not change the inequality's direction. By adding 9 to both sides of the inequality, we aim to isolate the variable term. The inequality becomes 5x < 100.

The addition property allows us to perform this operation and maintain the validity of the inequality. It is a fundamental property in solving inequalities, enabling us to simplify and manipulate expressions.

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The number of  α-helix and the number of β-pleated sheet are part of the secondary structure of proteins.

The secondary structure of proteins consists of recurring patterns of amino acids, such as the number of α-helix and the β-pleated sheet, which form the backbone of the protein. The α-helix is a spiral structure which is formed when the amino acids hydrogen-bond with one another. The β-pleated sheet is a flat structure which is formed when the amino acids form hydrogen bonds with one another in an alternating pattern. Together, the α-helix and the β-pleated sheet form the secondary structure of proteins.

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Answer:

11sqrt(2)

Step-by-step explanation:

Using pythagoras theorem

Answer:

\(7 - 9 i\)

Step-by-step explanation:

1) Remove parentheses.

\(2-8i+5-i\)

2) Collect like terms.

\((2+5)+(-8i-i)\)

3) Simplify.

\(7-9i\)

Right angled triangle is formed by the points (3, 2), (-2, -3) and (2,3).

Let the given points be,

A = (3, 2), B = (-2, -3) and C = (2, 3)

The formula for the distance between two points:

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by \(D = $$\sqrt{\left(X_2-X_1\right)^2+\left(Y_2-Y_1\right)^2}$$\).

Therefore,

A = \((x_{1} , y_{1} )\) = (3, 2), B = \((x_{2} , y_{2} )\) = (-2, -3)

\(& \mathrm{AB}=\sqrt{(3+2)^2+(2+3)^2}=\sqrt{50}=5 \sqrt{2}\)  units

B = \((x_{1} , y_{1} )\) = (-2, -3), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{BC}=\sqrt{(-2-2)^2+(-3-3)^2}=\sqrt{52}=2 \sqrt{13}\)  units

A = \((x_{1} , y_{1} )\) = (3, 2), C = \((x_{2} , y_{2} )\) = (2, 3)

\(& \mathrm{AC}=\sqrt{(3-2)^2+(2-3)^2}=\sqrt{2}\)  units

By using the Pythagorean theorem:

According to Pythagoras's Theorem in a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Now, we can see that,

\(& (2 \sqrt{13})^2=(5 \sqrt{2})^2+(\sqrt{2})^2 \\\)

\(& \mathrm{BC}^2=\mathrm{AB}^2+\mathrm{AC}^2\)

Therefore, the given triangle is a right angled triangle.

Therefore, option(A) s correct.

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What type of triangle do the points (3, 2), (-2, -3) and (2,3) form a triangle? If so, name the type.

A. right triangle

B. equilateral triangle

C. isosceles triangle

D. none of these