a.756
b.936
c.1,008
d.1,080
HELLLPPPPP

Answer:

Step-by-step explanation:

Answer:

No, Tina is not correct since 3.4 × 105 = 357 and 8.25 × 104 = 858

Answer:

£460

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2300 × 0.05 × 4 = 460

I = £ 460.00

The simple interest accumulated

on a principal of £ 2,300.00

at a rate of 5% per year

for 4 years is £ 460.00.

Let's use Thales theorem

Answer:

See below ~

Step-by-step explanation:

Let's get started!

Part (a) :

Statement 1 : ∠A = ∠E = 90° (indicated in diagram)

Statement 2 : ∠C = ∠C (common angle)

⇒ ΔABC ~ ΔBDC (AA similarity)

Part (b) :

Now that we have proved the triangles to be similar, we can take their corresponding sides in proportion.

⇒ \(\frac{EC}{AC} = \frac{ED}{AB}\)

⇒ \(\frac{160}{160+50} = \frac{120}{AB}\)

⇒ \(\frac{16}{21} = \frac{120}{AB}\)

⇒ \(AB = \frac{120\times21}{16}\)

⇒ \(AB = \frac{2520}{16}\)

⇒ AB = 157.5

Answer:

k

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(Joseph = 33 \:years \:old\\ \\Let \: ann's \:age be x\\\\33-5 = 2x\\\\28 = 2x\\\\Divide \:both \:sides \:of \:the \:equation \: by \:2\\\\\frac{2x}{2} = \frac{28}{2} \\\\x = 14\\\\Ann's \:present \:age \:= 14\\\\In \:5 \:years \:time ; \\\\14+5 = 19\\\)

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

\(\implies \dfrac{a}{b}=\dfrac{2}{5}\)

\(\implies \dfrac{b}{c}=\dfrac{3}{8}\)

And we need to find out the value of a/c .For that Multiply both of them , we have ;

\(\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}\)

Hence the required answer is 3/20 .

The vertex of the graph is at (-2, 3).

This means the equation is of the form \(f(x)=a|x+2|+3\).

Substituting in the coordinates of one of the other points on the graph that is not the vertex, such as (-1, -1),

\(-1=a|-1+2|+3\\\\-1=a+3\\\\a=-4\)

So, the equation is \(\boxed{f(x)=-4|x+2|+3}\)

Answer:

6.5 yards

Step-by-step explanation:

1 yard = 36 inches

234/36 = 6.5

The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.

The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?

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We need to know about writing equations given conditions to solve this problem. The equation for C1 is C1=0.27t and for C2 is C2=34.95+0.12t , the number of talk minutes that would produce the same cost for both plans is 233.

For writing equations for a variable given certain conditions we need to first assume the unknown variable to be x or something. Here in this question we know that the phone plans charge a particular cost for every minute, we have to assume the number of talk minutes to be t, so the total cost for the talk minutes can be calculated by multiplying the number of minutes to the cost per minute, if there is any additional constant charge then we add the cost to the equation which will give us the final cost equation.

For C1, it charges 27 cents for a minute, so the equation for C1 is

C1=0.27t [1 cent =$0.01]

For C2, it charges $34.95 monthly fee which is constant and 12 cents per minute.

C2=34.95+0.12t

To find the number of talk minutes that produce same cost we have to equate the two equations

0.27t=34.95+0.12t

0.15t=34.95

t=233

Therefore the equation for C1 is C1=0.27t and for C2=34.95+0.12t and the number of talk minutes that produce the same cost is 233.

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Answer:

No.

Any number multiplied by a 0 is 0.

0 is not equal to 1.

Answer:

yes i think

Step-by-step explanation:

Answer:

10 + 4i

Step-by-step explanation:

2 sqrt (25) + sqrt (-16) =

2 * 5     + 4i

10 + 4i

Answer:

\(10 + 4i\)

Step-by-step explanation:

Original Equation:

\(2\sqrt{25} + \sqrt{-16}\)

Simplify sqrt(25)

\(2*5+\sqrt{-16}\)

Simplify multiplication

\(10+\sqrt{-16}\)

Split the radical -16 into two, using the identity: \(\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}\)

\(10 + \sqrt{-1}*\sqrt{16}\)

Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number

\(10 + 4i\)

Answer:

35

Step-by-step explanation:

Given k=-5

Substitute into the equation given

-7(-5) = 35

The mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

To find the mean number of movies the students saw, you need to calculate the average of the given data. Here are the reported numbers of movies seen by the 6 students: 14, 11, 15, 19, 12, 10.

To calculate the mean, you sum up all the reported numbers and divide by the total number of students. In this case, the total number of students is 6.

So, let's calculate the mean:

(14 + 11 + 15 + 19 + 12 + 10) / 6 = 81 / 6 = 13.5

Therefore, the mean number of movies that the students saw is 13.5 (rounded to the nearest tenth).

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Answer:don’t know how to answer

Step-by-step explanation: by the looks of it ur just connecting dots there are three dots you have to connect

The number of houses are 180, and the number of flats are 100.

It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.

It is required to find the number of houses in the village if the number of bungalows is 30.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The ratio of the number of houses and the number of flats:

= 9:5   and

The ratio of the number of flats and the number of bungalows :

=10:3

It means we can write the ratio of the number of houses and the number of flats = 18:10

And the ratio of the number of:

Houses : Flats : Bungalows = 18:10:3

But the number of bungalows are 30.

Then the ratios are:

180:100:30

Thus, the number of houses are 180, and the number of flats are 100.

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(a) Extend the definition of f(x) to make it an even function f*(x),

\(f^*(x)=\begin{cases}0&\text{if }-2\le x<-1\\1&\text{if }0\le x\le1\\0&\text{if }1<x\le2\end{cases}\)

and we take f* to be periodic over an interval of length P = 4. We compute the coefficients of the cosine series:

\(a_n = \displaystyle\frac2P \int_{-2}^2 f^*(x)\cos\left(\frac{2n\pi}Px\right)\,\mathrm dx = \frac{2\sin\left(\frac{n\pi}2\right)}{n\pi}\)

Note that a₀ = 1 (you can compute the integral again without the cosine, or just take the limit as n -> 0). For all other even integers n, the numerator vanishes, so we split off the odd case for n = 2k - 1 :

\(a_{2k-1} = \dfrac{2\sin\left(\frac{(2k-1)\pi}2\right)}{(2k-1)\pi}\)

Then the cosine series of f(x) is

\(\displaystyle \frac{a_0}2 + \sum_{k=1}^\infty a_{2k-1}\cos\left(\frac{(2k-1)\pi}2x\right)\)

(b) For the sine series, you instead extend f(x) to an odd function f*(x),

\(f^*(x)=\begin{cases}-1&\text{if }-2\le x\le-1\\x&\text{if }-1<x<1\\1&\text{if }1\le x\le2\end{cases}\)

Again, P = 4, and the coefficient of the sine series are given by

\(b_n = \displaystyle\frac2P\int_{-2}^2f^*(x)\sin\left(\frac{2n\pi}Px\right)\,\mathrm dx\)

which we can again split into the even/odd cases,

\(b_{2k} = -\dfrac1{k\pi}\)

\(b_{2k-1} = \dfrac{4(-1)^{k+1}+2(2k-1)\pi}{(2k-1)^2\pi^2}\)

So the sine series is

\(\displaystyle \sum_{k=1}^\infty\left(b_{2k}\sin\left(k\pi x\right) + b_{2k-1}\sin\left(\frac{(2k-1)\pi}2x\right)\right)\)

I've attached plots of the extended versions of f(x) along with the corresponding series up to degree 4.

The cylinder has a volume of 150.796 in³. The cylinder has a surface area of 175.929 in².

The quantity of three-dimensional space that an object or closed surface occupies is referred to as volume in mathematics. The cubic units of volume are m³, cm³, in³, and so on.

The sum of all of an object's faces is its surface area in three dimensions. Wrapping, painting, and finally building things to achieve the best possible design are examples of real-world applications of the concept of surface areas.

Given that a volume of cylinder = h × r² × π

                         h = 12 in

                          r = 2 in

                       volume = ?

Volume of cylinder = h × r² ×π

                                 = =12 × 3.14×(2)²

                                       =37.68 × 4

                                       =150.796 in³

B). Surface area of cylinder= 2πr² + 2πrh

                                         =2× 3.14 × (2)²+2× 3.14× 2×12

                                          =175.929in²

The formula V=r²(h) can be used to determine a cylinder's volume. Simply multiplying the area of the circular base shape by the height is all that is required to determine a cylinder's volume.

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Answer:

88

Step-by-step explanation:

y=2cm h=7cm

CSA=22/7×4×7

the sevens get crossed out and then 22/1 ×4=88.

The number of 1/4 that can be found in 5/7 will be 2 6/7

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

The number of 1/4 that can be found on 5/7 will be:

= 5/7 ÷ 1/4

= 5/7 × 4

= 20/7

= 2 6/7

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The fractions 25/150, 28/154, or 27/62 aren't equivalent.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In order to know if they're equivalent fractions, we can convert them to percentage. This will be:

25/150 × 100 = 16.7%

28/154 × 100 = 18.2%

27/62 × 100 = 43.5%

In this case they're not equivalent.

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The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer:

Step-by-step explanation:

The least common denominator can be found as the product of the denominators, divided by their greatest common factor:

  LCD = (12)(18)/6 = 36

This is 3 times 12, so

  5/12 = (5/12)(3/3) = 15/36

and it is 2 times 18, so

  4/18 = (4/18)(2/2) = 8/36

The two fractions are ...

Answer:

10 cups of berry juice

Step-by-step explanation:

5 cups of apple juice = 5a

2 cups of berry juice = 2b

together = 7 cups

5a + 2b = 35

or

7c = 35

c = 5

this means that 5(5a + 2b) = 35

distribute the 5 to get

25a + 10b = 35

25 cups of apple juice and 10 cups of berry juice are needed to get 35 cups of punch

The z-score for x=69.5 is -0.47.

Standard deviation is a measure of how spread out a set of numbers is from the mean. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. In other words, it is a measure of how much the values in a dataset differ from the mean, or average, value. Standard deviation is a useful tool for understanding the distribution of data and can be used to identify outliers and compare data sets.

This is calculated by subtracting the sample mean, 70.1, from x, 69.5, and then dividing by the sample standard deviation, 3.2. The calculation is thus: (-69.5 - 70.1) / 3.2 = -0.47.

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40 dollars. Aunt sponsored me with 2 dollars per minute, and I walked for 20 minutes, so I have raised 40 dollars for charity.

My aunt is a very generous and kind person. She offered to sponser me for a charity walk, telling me that she would give me 2 dollars per minute I walked. I was really excited to get involved in this walk and help out a good cause. I decided to commit to walking 20 minutes, which meant I would be raising 40 dollars for charity. I was really proud of myself for being able to help out, and I was also really thankful for my aunt's generous sponsership. Over the 20 minutes, I was really motivated to keep going, knowing that I was helping out a charity and also earning money. After the 20 minutes were up, I had raised 40 dollars for charity, thanks to my aunt's sponsership. It was a really rewarding experience and I'm glad I got to take part.

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Answer:

12755 base-8

Step-by-step explanation:

You’re welcome :) please brainliest me btw.

Step-by-step explanation:

She decided to test this by 200 adults, so. Divide 6 by 500 = 0.012 (200)=2.4mins.

Answer: The 200 adults

Step-by-step explanation: