100 Points! Algebra question. Photo attached. Find the exact value of the expression. Please show as much work as possible. Thank you!

Answer:

Beats me

Step-by-step explanation:

Answer:

this answer will be in your book

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2800\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ t=years\dotfill &12 \end{cases} \\\\\\ A=2800e^{0.055\cdot 12}\implies A=2800e^{0.66}\implies A\approx 5417.42\)

Answer:

\(8.3125\)pounds

Step-by-step explanation:

We are given that

Density of ethyl acetate at 25 degrees =\(0.902g/ml\)

We have to find the number of pounds in 133 ounces weigh.

To find the number of pounds in 133 ounces we will use unitary method

By using unitary method

We know that

1 ounce=0.0625 pounds

133 ounce=\(133\times 0.0625\)pounds

133 ounce=\(8.3125\)pounds

Hence,8.3125 pounds would 133 ounces weigh.

Answer:

Answer: (0, -4) and (6, 1)

• x(t) = 6t --- equation (a)

• y(t) = 3t - 2 --- equation (b)

→ From equation (a), make t the subject:

\(→ \: { \tt{x(t) = 6t }} \\ \\ → \: { \tt{t = \frac{x(t)}{6} }}\)

• substitute for t in equation (b)

\(→ \: { \tt{y(t) = 3(\frac{x(t)}{6}) - 2 }} \\ \\ → \: { \tt{y(t) = \frac{x(t)}{2} - 2 }}\)

• Assume t is 1:

\(→ \: { \tt{y = \frac{x}{2} - 2}} \\ \\ → \: { \boxed{ \tt{2y = x - 4}}}\)

• when x is zero, y is -4

\(→ \: { \tt{2y = 0 - 4 = - 4}} \\ \)

• when x is 6, y is 1

\(→ \: { \tt{2y = 6 - 4 = 2 }} \\ { \tt{y = 1}}\)

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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Answer:

3000

Step-by-step explanation:

30,000/10=3000

Hope this helps! :)

Answer:

The p-value for this test is 0.1375.

Step-by-step explanation:

A student believes that the average grade on the statistics final examination was 87. The student wants to test whether the average is different from 87 at 90% level of confidence.

At the null hypothesis, we test if the average is 87, that is:

\(H_0: \mu = 87\)

At the alternate hypothesis, we test if the average is different from 87, that is:

\(H_a: \mu \neq 87\)

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s\) is the standard deviation of the sample and n is the size of the sample.

87 is tested at the null hypothesis:

This means that \(\mu = 87\)

The average grade in the sample was 83.96 with a standard deviation of 12. Sample of 36

This means that \(X = 83.96, s = 12, n = 36\)

Value of the test-statistic:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{83.96 - 87}{\frac{12}{\sqrt{36}}}\)

\(t = -1.52\)

Pvalue:

Probability of the sample mean differing of 87, which means that we have a two-tailed test, with t = -1.52 and 36 - 1 = 35 degrees of freedom.

With the help of a calculator, the pvalue is of 0.1375.

The p-value for this test is 0.1375.

_________

\( \: \)

\( {8}^{ - 4} \times {8}^{6} x\)

\( {8}^{ - 4 + 6} = x\)

\( {8}^{6 - 4} = x\)

\( {8}^{2} = x\)

\(64 = x\)

Soo, answer for question \(8^(-4) × 8^6 = 8^2\)

According to the probability density function given, it is found that 0.2813 = 28.13% of steel plates have elongations greater than 25%.

Researching the problem on the internet, it is found that the elongation of steel plates treated with aluminum are random with probability density function given as follows:

\(p(x) = \frac{x}{400}, 15 \leq x \leq 30\)

The proportion of steel plates have elongations greater than 25% is given by:

\(p = \int_{25}^{30} p(x) dx\)

\(p = \int_{25}^{30} \frac{x}{400} dx\)

\(p = \frac{x^2}{800}|_{x = 25}^{x = 30}\)

Applying the Fundamental Theorem of Calculus:

\(p = \frac{30^2}{800} - \frac{25^2}{800}\)

\(p = 0.2813\)

0.2813 = 28.13% of steel plates have elongations greater than 25%.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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Answer: ty for the points

Step-by-step explanation:

x+-3(y+3)2+5

Answer:

42.95x + 21.95y

Step-by-step explanation:

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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Answer:

\(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Step-by-step explanation:

Notice that \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}\), which is in indeterminate form, so we must use L'Hôpital's rule which states that \(\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}\). Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:

\(\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}\)

Now, plug in the limit and evaluate:

\(\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}\)

Thus, \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by the distance;  0.000001 miles

Proportion word problems are simply ways of expressing proportion problems in words. For example we share oranges among three people each receiving 2, 3 and 4 respectively and as such the ratio of the proportion is 2:3:4.

Now, we are told that  after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This is comparable  to shooting an arrow at a target fifty feet away and missing the exact center.

Thus, if the comparable distance missed is x, then we can say that;

x/50 = 6/300000000

x = (6 * 50)/300000000

x = 3/3000000

x = 0.000001

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Answer:

Here you go

Step-by-step explanation:

The opposite is the same number but with the different sign ( -4 -> 4) or (12 -> -12)

Answer: jump off a cliff and shatter your bones

Step-by-step explanation:

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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The value of the vehicle 13 years after purchase is $13,695.24.

What is exponential decay?

Exponential decay is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decay also decreases.

We can use the formula for exponential decay to find the approximate value of the vehicle 13 years after the purchase:

\($V = V_0 e^{-rt}$\)

where V0 is the initial value of the vehicle, r is the annual depreciation rate (as a decimal), t is the number of years since purchase, and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

\($V \approx 29800 e^{-0.06*13}$\)

\($V \approx 29800 e^{-0.78}$\)

V ≈ 29800 x 0.4593

V ≈ 13695.24

Therefore, the approximate value of the vehicle 13 years after purchase is $13,695.24.

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There are 4 hundred billions in the number 432,845,979,484.

To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.

The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.

Let's break down the number:

4 hundred billions (4 x 100,000,000,000)

3 ten billions (3 x 10,000,000,000)

2 billions (2 x 1,000,000,000)

8 hundred millions (8 x 100,000,000)

4 ten millions (4 x 10,000,000)

5 millions (5 x 1,000,000)

9 hundred thousands (9 x 100,000)

7 ten thousands (7 x 10,000)

9 thousands (9 x 1,000)

4 hundreds (4 x 100)

8 tens (8 x 10)

4 units (4 x 1)

As we can see, there are 4 hundred billions in the number 432,845,979,484.

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Answer:

16 yellow marbles in total, because you subtract 2 from the 18 because then you just get the yellow marbles.

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:

Total number of flowers: 1,064

Number of centerpieces: 28

Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces

Number of flowers in each centerpiece = 1,064 / 28 = 38

Therefore, there will be 38 flowers in each centerpiece.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer: 38

Step-by-step explanation:

The question is asking you to divided.

1064 divided by 28 = 38

So there will be 38 flowers in each centerpiece

Answer:

y= -x²-4x+2

Step-by-step explanation:

write in vertex form

a(x-h)²+k

in our case h = -2 and k= 6

y=a(x+2)²+6

now we just need to solve for a. we know that when x= 1 y = -3. plug these values in and solve for a

-3= a(1+2)²+6

-9=9a

a= -1

thus the formula is -(x+2)²+6

generally, teachers want things in standard form, so expand the exponent and simplify.

-(x²+4x+4)+6

y= -x²-4x+2

Answer:

\(y = -x^2 - 4x + 2\)

Step-by-step explanation:

The equation of a parabola in vertex form is:

\(y = a(x - h)^2 + k\)

where (h, k) is the vertex of the parabola.

In this case, the vertex is (-2, 6), so h = -2 and k = 6.

We also know that the parabola passes through the point (1, -3).

Plugging these values into the equation, we get:

\(-3 = a(1 - (-2))^2 + 6\)

\(-3 = a(3)^2 + 6\)

-9 = 9a

a = -1

Substituting a = -1 into the equation for a parabola in vertex form, we get the equation of the parabola:

\(y = -1(x + 2)^2 + 6\)

This equation can also be written as:

\(y = -x^2 - 4x -4+6\\y=x^2-4x+2\)

Answer:

y + 3= -7(x + 2)

Step-by-step explanation:

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