Help! Question with simplifying square root

Answer:

[tex]18.4\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=?\ years\\ P=\$2,000\\ r=0.06\\n=4\\A=\$6,000[/tex]  

substitute in the formula above  

[tex]\$6,000=\$2,000(1+\frac{0.06}{4})^{4t}[/tex]  

[tex]3=(1.015)^{4t}[/tex]  

Applying log both sides

[tex]log(3)=4tlog(1.015)[/tex]  

[tex]t=log(3)/[4log(1.015)][/tex]  

[tex]t=18.4\ years[/tex]  

Answer:

19

Step-by-step explanation:

Answer:

They earned $9.60 they will each get $4.80. Give or take.

Step-by-step explanation:

9.60÷2=4.80

There is nothing here, but I do know that the answer is 6⃣.

Answer:

It represents the product of two irrational numbers and is equivalent to a rational number.

The answer to this question is 10. The working out is shown in the image attached.

*** Sorry instead of writing 170 I wrote 270 for the big angle.. other than that it's correct

or another way to solve this is....

we know that a straight line is 180 degrees and the angle APD is 170 all we need to do is subtract 170 from 180 to get the answer of DPB

Hope this helped

D

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Answer:

There are exactly 4 solutions

Step-by-step explanation

Given the two equation

y = x² + 3x – 7 ... (1)

y – 5x + 8 = 0 ...(2)

From equation 2,

y - 5x = -8

y = -8+5x ...(3)

Substituting equation 3 into 1

-8+5x = x²+3x-7

Moving -8+5x to the other side of the equation, we have:

x²+3x-7+8-5x = 0

x²+3x-8x-7+8= 0

x²-5x+1 = 0

Since the resulting equation is quadratic, we will get two solutions as our x and substituting both value of x in equation 2 to get y will give us two solutions for our y variable making a total of 4 solutions.

Therefore in the system of equation given, there are exactly 4 solutions

Answer: the total number is 1

Step-by-step explanation:

Counting by 1's from any integer involves enumerating individual units, making use of discrete data in our powers-of-ten notation system. Counting is a precise method of measurement, yielding an exact number. However, not all quantities derived from measurements are exact.

When you count by 1's from any integer, you are essentially enumerating individual units. This is related to the concept of quantitative discrete data in mathematics. Discrete data take on only certain numerical values. For example, if you count the number of fingers on your hand, you get integer values such as one, two, three, up to five.

In our powers-of-ten notation system, each place in our numbering is ten times greater than the place to its right. This system got started because we humans have ten fingers and began counting with them. So when you count by 1's, you are in fact moving from one place to another in this system, starting from the given integer.

Also, counting is a precise method of measurement. The number of items being counted does not change while the process is underway, producing an exact number. Even with counting, however, some quantities can be derived from measurements, which are not exact due to practical limitations.

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The answer should be function

The measure of PY is 24 centimeters, found using the properties of similar triangles and the correct option is C.

To solve this problem, we can use the following steps:

Identify the corresponding sides of the two similar triangles.

Write down the proportion for the corresponding sides of the two triangles.

Cross-multiply to solve for the unknown side.

In this case, the corresponding sides of the two triangles are:

AD = AP

DE = PR

EF = RY

We can write down the following proportion:

AD/DE = AP/PR

We know that AD = 6 cm and AP = 16 cm. We also know that PR = 8 cm. We can substitute these values into the proportion and solve for DE:

6/DE = 16/8

DE = 6 * 8 / 16

DE = 3 cm

Now that we know the length of DE, we can use the following proportion to solve for PY:

DE/EF = PR/PY

3/9 = 8/PY

PY = 8 * 9 / 3

PY = 24 cm

Therefore, the measure of PY is 24 centimeters.
So, the correct option is C.

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Answer:

D

Step-by-step explanation:

A is wrong because on the point -4, the function is equal to -12 and a states the local minimum on [-4, -2] is equal to zero. Since -12 < 0, A is wrong.

B is wrong because the function never even reaches 25 on the interval [-2, -2]

C is wrong because we can see that 3.9 is zero and the function is decreasing there. fro this we can determine the functions value at x = 4 is less than 0, meaning the minimum value is also less than 0.

Lastly, we can see that the lowest point fro 4 to 7 is at -7, meaning that D is correct.

D should be your answer

Answer:

5:3

Step-by-step explanation:

it would be 5:3 because it is the ratio of consonant to vowels

Your answer is A) (x+2)2=4

would it be this? eeek

Answer:

86.079

Step-by-step explanation:

40.99*2.1

The Answer Is 86.079.

Answer:

yes

Step-by-step explanation:

Weight appears to be the independent variable, so will be graphed on the horizontal axis. Cost is the dependent variable, so will be graphed on the vertical axis.

Answer:

I think they want you to put a closed circle on top of far going to the left. I'm not sure though :)

Answer:

that is not the correct graph of the solution

It would be 5 with an arrow pointing to the right. With an open circle

Step-by-step explanation:

It would not be filled in because 4 is not greater than or equal to x it is greater than. The arrow would point to the right because those are all the options for the solution, there are multiple.

Answer: 80

Step-by-step explanation:

Answer:

y = 1/5k

Step-by-step explanation:

y = kx

1= k(5)

1/5 = l

The answer is the third one

The answer is C it’s pretty easy

Answer:

a) T(3,0)

b) |CT|=2.83

c) |DT|=4.47

Step-by-step explanation:

The given parallelogram CARD has vertices (5, -2), (-1, -2), (1, 2), and (7, 2)

The diagonals of a parallelogram bisect each other.

Find the midpoint of one diagonal, that gives us the point of intersection of the diagonals T.

The midpoint of C(5,-2) and (1,2) is

[tex]T(\frac{5+1}{2},\frac{-2+2}{2}  )[/tex]

[tex]T(3,0)[/tex]

b) To find the length of CT, we use the distance formula; where C(5,-2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-5)^2+(-2-0)^2}[/tex]

[tex]d=\sqrt{4+4}[/tex]

[tex]d=\sqrt{8}[/tex]

[tex]d=2\sqrt{2}=2.83[/tex]

The length of CT is 2.83 to the nearest hundredth

c) To find the length of DT, we use the distance formula; where D(7,2) ahd T(3,0).

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(3-7)^2+(2-0)^2}[/tex]

[tex]d=\sqrt{16+4}[/tex]

[tex]d=\sqrt{20}[/tex]

[tex]d=2\sqrt{5}=4.47[/tex]

The length of DT is 4.47 to the nearest hundredth

ANSWER

[tex] 10011_{2} \times 11_{2}= 111001_{2}[/tex]

EXPLANATION

We want to multiply:

[tex] 10011_{2} \times 11_{2}[/tex]

in base 2

One can choose to convert everything to base 10

This gives 19×3=57

We then convert 57 to base two to get

[tex]57 = 111001_{2}[/tex]

Or perform the multiplication in base 2 straight forward.

10011

× 11

10011

+10011

111001

------------

[tex]10011_{2} \times 11_{2} = 111001_{2}[/tex]

Answer:

Changing value of "d" changes the vertical shift of the cosine graph.

Step-by-step explanation:

Question says to find about how does your cosine graph change when including the d-value.

General equation of cosine function can be given as:

[tex]y=a\cdot\cos\left(bx-c)\right)+d[/tex]

In that formula, value of  "d" gives vertical shift.

So changing value of "d" changes the vertical shift of the cosine graph.

Answer:

Step-by-step explanation:

7056

$7

30 divided by 6 is 5, then you take that 35 and divide it by the 5and you will end up with $7

Answer:

You can alternatively apply PEMDAS as schools do today: Simplify everything inside the parentheses first, then exponents, then all multiplication and division from left to right in the order both operations appear, then all addition and subtraction from left to right in the order both operations appear.

Step-by-step explanation:

PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete.

so 8+4 =12 12-3=9

the correct answer would be 9

Answer:

y=2/3x+5/3

Step-by-step explanation:

The equation written in slope intercept form will be y = (2/3)x + 5/3.

When you know the slope of the line (m) to be investigated and the point of y-intercept (0,c) is also given, you utilize the slope intercept formula.

Slope intercept formula:

y = mx + c

m is the slope

c is the y intercept

Given equation in the question is

2x = 3y - 5

3y = 2x + 5

y = (2/3)x + (5/3)

Now if we compare this equation to slope intercept form we will get m = 2/3 and c = 5/3.

Hence the slope intercept form of the equation is y = (2/3)x + (5/3).

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Answer: Option B

[tex](f + g)(x)=x^2 - x - 3[/tex]

Step-by-step explanation:

In this problem we have the function

[tex]f(x) = 2x - 1[/tex]

and the function

[tex]g(x) = x^2 - 3x - 2[/tex]

They ask us to perform the operation:

[tex](f + g)(x)[/tex]

Therefore we must perform the algebaic summa of the function f plus the function g

[tex](f + g)(x)=f(x) + g(x)[/tex]

[tex](f + g)(x)=2x - 1 + x^2 - 3x - 2[/tex]

Now we siplify the expression

[tex](f + g)(x)=x^2 - x - 3[/tex]

Answer:

B)(x - 2)

Step-by-step explanation:

Given that the area of a rectangle is [tex]x^2-5x+6[/tex].

Now we need to find about which of the given choices could be one of the dimensions. Where given choices are:

A)(x + 3)

B)(x - 2)

C)(x - 1)

D)(x + 6)

We know that area of rectangle = (length) x (width)

So basically we need to factor the given area of rectangle to find the corresponding dimensions.

[tex]x^2-5x+6[/tex]

[tex]=x^2-2x-3x+6[/tex]

[tex]=(x-2)(x-3)[/tex]

Hence B)(x - 2) is the correct choice.

Answer:

x-2

Step-by-step explanation:

Answer:

I think it is C. If im wrong, then it is A because I know that it is random sampling.

Step-by-step explanation:

Answer:

C: Simple Random Sampling

Answer:

The reaction that takes place in a nuclear fission reactor is answer D.

Step-by-step explanation:

Nuclear fission reactions involves the process by which large atomic nuclei are bombarded with energetic particles and release of an enormous amount of nuclear energy, which  mainly ends up as heat energy.

So now, consider the nuclear reaction from D, after the uranium nucleus absorbs the neutron its split into two smaller nuclei (often radioactive themselves), Krypton and Barium and releases more neutrons (or energy).