Measured in meters, the wavelength of red light is about 8*10^-7, and the wavelength of violet light is 4*10^-7. The wavelength of red light is how many times longer than the wavelength of violet light?

Answer:

The two triangles may be congruent, but additional information is needed about the third angle in each triangle

Answer:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

What is the inverse of the following statement? If two triangles are congruent, then their corresponding angles are congruent.

Inverse of a statement means its opposite or negating both the hypothesis and conclusion of a conditional statement.  

So, the inverse of the given statement will be :

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

To calculate the probability of an adult female's pulse rate being between 72 and 80 bpm, additional information like mean and standard deviation is necessary if using a normal distribution or population data for a simple probability.

To find the probability that an adult female's pulse rate is between 72 beats per minute and 80 beats per minute, we need additional information such as the mean and standard deviation if the pulse rates follow a normal distribution, or the percentage of females with pulse rates in that range if the data is available in simple probability form.

Without this information, it's not possible to provide an exact answer. However, we can reference typical heart rate data or use estimation techniques to provide a rough idea of the probability. Health organizations often provide guidelines on normal heart rates for adults that could be used as a proxy in the absence of specific data points.

Answer:

[tex]\log_b(\frac{x^3}{y^2} )=3\log_b(x)-2\log_b(y)[/tex]

Step-by-step explanation:

The given logarithmic expression is

[tex]\log_b(\frac{x^3}{y^2} )[/tex]

Recall and use the quotient rule of logarithms;

[tex]\log_b(MN)=\log_b(M)-\log_b(N)[/tex];

We apply this property to obtain;

[tex]\log_b(\frac{x^3}{y^2} )=\log_b(x^3)-\log_b(y^2)[/tex]

Recall again that;

[tex]\log_b(M^n)=n\log_b(M)[/tex]

We apply this property also to obtain;

[tex]\log_b(\frac{x^3}{y^2} )=3\log_b(x)-2\log_b(y)[/tex]

The last one does

in the first for the image (the letters with ') are on the smaller shape where as on the last one it is on the bigger shape meaning it is the enlargement of TYO

Answer:

the last one

Step-by-step explanation:

I did this assignment.

(X^3+2x^2) +(5x+10)

X^2(x+2) +5(x+2)

(X^2+5)(x+2)

Answer:

[tex](x+2)\text{ and }(x^2+5)[/tex] are the factors of given polynomial,    

Step-by-step explanation:

We are given the following information in the question:

We are given a polynomial:

[tex]x^3 + 2x^2 + 5x + 10[/tex]

We have to factor this polynomial with the help of grouping method.

Grouping can be dine with the help of taking the common factors.

Working:

[tex]\text{Taking } x^2 \text{ common from the first two terms and 5 from the other two terms, we have}\\\Rightarrow x^2(x + 2) +5(x + 2)\\\text{Aain taking the common term}\\\Rightarrow (x+2)(x^2+5)[/tex]

Hence, the two factors of the given polynomial are:

[tex](x+2)\text{ and }(x^2+5)[/tex]

Answer:

  2.34 grams

Step-by-step explanation:

The first 3 digits of the number are 2, 3, 3. The next digit is 5, which is more than 4, so 1 is added to the digit to its left and all digits to the right of the first three are dropped.

2.33 becomes 2.34 because of the 5 in the thousandths place.

Your rounded measurement is 2.34 grams.

The equation is V = PI x r^2 x h

r = 1/2 the diameter = 4.5

Volume = 3.14 x 4.5^2 x 5

Volume = 317.9 cm^3

Answer:

A. (x - 5)(x - 5)

Step-by-step explanation:

We will do this the old fashioned way...just plain old factoring.  

This polynomial is of the form

[tex]y=ax^2+bx+c[/tex]

The product of a and c have to add up to equal the "middle" term, -10.  

a = 1, b = -10, c = 25

a * c = 1 * 25 = 25

Now we need the factors of 25 to find the combination of factors that will result in a -10.  The factors of 25 are: 1, 25 and 5, 5

5 and 5 add up to be 10, but since we need a -10, we will use -5 and -5.  The product of -5 * -5 = 25, so we are not messing anything up by using the negative 5.

Putting them in order in standard form we have

[tex]x^2-5x-5x+25[/tex]

Factor by grouping:

[tex](x^2-5x)-(5x+25)[/tex]

There is an x common to both terms in the first set of parenthesis, so we will factor that out; there is a 5 common to both terms in the second set of parenthesis, so we will factor that out:

x(x - 5) - 5(x - 5)

NOW what's common in both terms is the (x - 5) so we factor THAT out, and what's left gets grouped together:

(x - 5)(x - 5)

Answer:

[tex]37.2\ m[/tex]

Step-by-step explanation:

Let

h-----> the height of the light pole

we know that

In the right triangle of the figure

[tex]sin(60\°)=\frac{h}{43}[/tex]

[tex]h=sin(60\°)(43)=37.2\ m[/tex]

Final answer:

To find the two numbers where their sum is 9 and their difference is 1, set up two equations x + y = 9 and x - y = 1. Solve these equations simultaneously to get the numbers 5 and 4.

Explanation:

The question asks to find two numbers where their sum is 9 and their difference is 1. The solution involves setting up two equations based on the information given:

Let the first number be x and the second number be y.

The sum of the two numbers is 9, so we have the equation x + y = 9.

The difference between the two numbers is 1, leading to the equation x - y = 1.

We can solve these two equations simultaneously to find the values of x and y. Adding the two equations together leads to 2x = 10, which simplifies to x = 5. Substituting x back into one of the original equations, for example, x + y = 9, we get 5 + y = 9, which simplifies to y = 4.

Therefore, the two numbers are 5 and 4.

Step-by-step explanation: usatestprep approved

The graph of the linear equation with m > 0 and b < 0 is in the image at the end.

For which line is it true that m > 0 and b < 0?

A general linear equation is written as:

y = mx + b

Where m is the slope and b is the y-intercept.

With this we can see that the correct option from the given ones is the second graph. You can see the image below.

Answer:

2√5

Step-by-step explanation:

Use a factor tree to break down 20 into it's prime roots.

20 = 2 x 10

20 =  2 x 2 x 5

These are the prime factors of 20, so we can rewrite √20 as

(√2)(√2)(√5)

         (√2)(√2) = √(2x2) = √4 = 2, so we have

2√5

Answer:

[tex]5,500\ g[/tex]

Step-by-step explanation:

we know that

[tex]1\ kg=1,000\ g[/tex]

step 1

Find the difference between the kilograms of apples and the kilograms of pears

[tex]8-2.5=5.5\ kg[/tex]

step 2

Convert to grams

[tex]5.5\ kg=5.5*1,000=5,500\ g[/tex]

The length of the rectangular room is 12 ft

To find the length of the rectangular room by using the formula for the area of a rectangle:

Area = Length * Width

Given that Area of a rectangular room = 120 [tex]ft^{2}[/tex]

Width = 10 ft

Length = ?

To calculate the length of the rectangular room,

Length = Area/Width

Length = 120/10

Length = 12 ft

Therefore, the length of the rectangular room is 12 ft

Answer:The domain: x > -2\to x\in(-2;\ \infty)

Step-by-step explanation:

y = ln(x + 2)

D:

x + 2 > 0    |subtract 2 from both sides

x > -2

Answer: The domain: x > -2\to x\in(-2;\ \infty)

Answer:

[tex]\large\boxed{x>-2\to x\in(-2,\ \infty)}[/tex]

Step-by-step explanation:

[tex]\text{The domain of}\ \log_ax:\\\\a>0\ \wedge\ a\neq1\ \vedge\ x>0\\=========================\\\\y=\ln(x+2)\\\\\text{The domain:}\\\\x+2>0\qquad\text{subtract 2 from both sides}\\\\x+2-2>0-2\\\\x>-2\to x\in(-2,\ \infty)[/tex]

Answer:

If 2/5 is 240 then 1/5 is 120..multiply 120 by 5 which is 600 so...

600=total

Then..multiply 120 by 3 which will give the 3/5 boys which is 360 so...

360 boys

Step-by-step explanation:

Answer:

The correct option is

Option d. Sin θ = -√65/9 and Tan θ  =  -√65/4

Step-by-step explanation:

Points to remeber

Sin θ = Opposit side/ Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ= Opposite side /Adjacent side

To find opposite side

It is given that,

Cos θ = -4/9 = Adjacent side/Hypotenuse

We can find opposite  side of angle θ

opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²

    = 81 - 16 = 65

Opposite side = √65

To find sinθ and tanθ

Sin θ = Opposit side/ Hypotenuse = -√65/9

Tan θ = Opposite side /Adjacent side = -√65/4

Therefore the correct option is

Option d. Sin θ = -√65/9 and Tan θ  =  -√65/4

Answer:

the length of flower at the end of week is 10 7/8 inches.

Step-by-step explanation:

Original height = 9 3/4 inches

=> 39/4 inches

Growth in one week = 1 1/8 inches

=> 9/8  inches

The height by the end of week = Original height +  growth

=> 39/4 + 9/8

=> (39*2)/4*2 + 9/8

=> 78/8 + 9/8

=> 87/8 inches

=> 10 7/8 inches

Therefore, the length of flower at the end of week is 10 7/8 inches.

Final answer:

To find the height of the flower at the end of the week, add the initial height of 9 3/4 inches to the growth of 1 1/8 inches, resulting in a new height of 10 7/8 inches.

Explanation:

The question asks how tall the flower will be at the end of the week after growing an additional 1 1/8 inches from its original height of 9 3/4 inches. To find the answer, you simply add these two measurements.

First, convert the mixed numbers to improper fractions to make them easier to add:

Now, add the two improper fractions together:
(39/4) + (9/8) = (39/4) × (2/2) + (9/8) = (78/8) + (9/8) = 87/8

Convert 87/8 back to a mixed number:

87 divided by 8 is 10 with a remainder of 7, so the mixed number is 10 7/8 inches.

So, the flower will be 10 7/8 inches tall at the end of the week.

Answer:

this is basic math area and primeemator

so take the triangles and put them together then add it up so it would look like this 9+9+11.75+11.75 = 41.5 them times 41.5 times the price per foot like this

41.5 X 4.25 = 176.38 thats how mush he would have to pay

Answer: $449.44

Step-by-step explanation: please see images below!

First find the value of the two vertical angles which have x in them.

Vertical angles are the same so you have:

4x = x +36

subtract 1x from each side:

3x = 36

Divide both sides by 3:

x = 36/3

x = 12

Now replace x with 12 to solve for the angles:

4x = 4(12) = 48 degrees.

All 4 angles need to equal 360 degrees, so now subtract 48 +48 from 360:

360 - 96 = 264

Y and the angle above it are vertical angles, so you can divide 264 by 2 to find y:

Y = 264 /2

Y = 132 degrees.

Answer:

87.5

Step-by-step explanation:

35*2.5=  87.5

since you are finding distance you have to multiply speed and time

hope this helps :)

Answer: The price of a book increased from $20 to $25. What is the markup rate?

Final answer:

The random variable X represents claim amounts for wind damage to insured homes. The probability that a claim is below average is 19/27. The expected value of the largest claim is 2.025 and the expected value of the smallest claim is 1.125.

Explanation:

a. The random variable X represents the claim amounts for wind damage to insured homes.

b. To find the probability that a claim is below average, we first need to calculate the average claim amount. We can do this by finding the expected value of X, which is given by E(X) = ∫[10,∞]x * f(x) dx, where f(x) is the density function of X. Evaluating this integral, we get E(X) = 19/27. Therefore, the probability that a claim is below average is P(X < E(X)) = P(X < 19/27) = 19/27.

c. The expected value of the largest of the three claims can be calculated by finding the maximum of three independent random variables with density f(x). Since the density is continuous, the probability that the maximum claim amount is less than or equal to x is given by P(X₁ ≤ x, X₂ ≤ x, X₃ ≤ x) = [F(x)]³, where F(x) is the cumulative distribution function of X. To find the expected value, we need to find the maximum amount x such that [F(x)]³ = 1/2. Solving this equation, we get x ≈ 2.025.

d. Similarly, the expected value of the smallest of the three claims can be calculated by finding the minimum of three independent random variables with density f(x). The probability that the minimum claim amount is greater than or equal to x is given by P(X₁ ≥ x, X₂ ≥ x, X₃ ≥ x) = [1 - F(x)]³. To find the expected value, we need to find the minimum amount x such that [1 - F(x)]³ = 1/2. Solving this equation, we get x ≈ 1.125.

Answer:

N is a population parameter; the estimate of N is a statistic.

Step-by-step explanation:

A measure of a population is called a parameter.  The population is the entire set we are measuring.  In this problem, N is the total number of warplanes fielded by the Germans.  Since it is the total, it is a population, making it a parameter.

A measure of a sample is a statistic.  This means an estimate of N based on a sample would be a statistic.

In the context of the RAF's scenario, N is a population parameter representing the number of German warplanes in World War II. However, using the observed serial numbers to estimate N would produce a statistic, which may not be accurate as it corresponds to a sample rather than the total population.

In the given scenario, N is a population parameter. It represents the total number of warplanes built by Germany. A parameter represents a factual characteristic about a population. Estimating N from the observed serial numbers on the warplanes is a statistic. A statistic is derived from a sample, and it is used to estimate a population parameter when we don't have access to the full population.

For instance, suppose the RAF captures some German warplanes, and the highest observed serial number is 5000. They might then estimate that the Germans produced around 5000 planes (which would be a statistic). But this estimate could be incorrect since they're basing it on a sample rather than the total population of German warplanes (i.e., all the planes built by Germany).

This method for estimating N is similar to a technique called mark and recapture in biology, where scientists mark a number of individuals in a population, release them back into their natural environment, and later recapture a number of individuals. Using the ratio of marked to unmarked individuals in the recaptured sample, scientists can estimate the total population size.

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Answer:

  correct

Step-by-step explanation:

The asymptotes of the cotangent function are at multiples of π. The cosine function has no asymptotes.

sec(x)² = 1 + tan(x)² so both functions have their vertical asymptotes in the same places.

(6•4m) + (6•5)= 24m + 30

The correct answer is 30

Here’s how you solve it!

First multiply what’s in the parentheses

6✖️4m➕6✖️5

Now calculate the produce

24m➕6✖️5

Now multiply 6 and 5 then add the number to 24m

Then you are left with your answer:

24m➕30

Hope this helps! :3

Answer:

The answer is A for sure

Step-by-step explanation:

And this is why

n ≥ 20

n + 5 ≥ 25

n + 5 − 5 ≥ 25 − 5

n ≥ 20

Inequality shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequality that represents the solutions set is

n ≥ 20.

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Jim wants to collect at least 25 coins for his coin collection. He has already collected 5 coins.

The inequality shows the above situation.

n + 5 ≥ 25

Subtract 5 on both sides.

n ≥ 25 - 5

n ≥ 20

Thus,

The inequality that represents the solutions set is

n ≥ 20.

Option A is the correct answer.

Learn more about inequalities here:

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Answer: transformation 5 units right

Step-by-step explanation: the preimage mapped to the image is moved 5 units to the right.

the algebraic expression is (x,y)-->(x+5,y)

Answer: M.A.T.H was translated (-5, 0) units; or five units to the left

Step-by-step explanation:

Point A is moved to the left to become A'.

Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.

This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).

Each point has moved five units to the left.

Answer:

c. 4.9713

That's the answer

Answer:

x=18

Step-by-step explanation:

First, using the Pythagorean theorem, you can make the equation 10^2+y^2=26^2. You can solve this to get y=24. Another way to solve for the value of y is to use your Pythagorean triples! (in this case, all the values are double the values of the Pythagorean triple 5, 12, 13).

Next, you can use the Pythagorean theorem again to get the equation 24^2+x^2=30^2. Solving it, you would get x=18.

Hope this helps!