Which expressions are equivalent to (1/3x - 4x - 5/3x) - (-1/3x -3)?
Select all correct expressions.
-5x + 3
2x - 3 + 3x
-2x + 3 - 3x
-3 + 5x

Answer:

First numerator and second denominator

Answer:

a) 2400m on the 20th day for Charlie.

1) 728.41m of 20th day for Daniella.

Didn't find n, sorry.

Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness program.

It is given that Charlie and Daniella on day one both ran 500m on each subsequent day.

Charlie ran 100m more than the previous day.

Daniella increased her distance by 2% of the distance run on the previous day.

It is required to calculate how far Charlie and Daniella ran on day 20 and the value of n.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Charlie ran 500m on the first day:

[tex]\rm a_1 = 500[/tex]

[tex]\rm a_2 =600[/tex] ( because charlie ran 100m more than the previous day)

It is an arithmetic progression in which the difference between two consecutive terms:

d = 600 - 500 ⇒ 100

and [tex]\rm a_n = a+d(n-1)[/tex]

[tex]\rm a_2_0 = 500+100(20-1)\\\\\rm a_2_0 = 2400m[/tex]( ∵ n = 20 )

Daniella ran 500m on the first day:

[tex]\rm b_1 = 500[/tex]

[tex]\rm b_2 = 500+ 500\times2 \%[/tex]  (because Daniella increased her distance by 2% of the distance run on the previous day)

We can write [tex]\rm n^t^h[/tex] terms:

[tex]\rm b_n= 500(1+2\%)^n^-^1[/tex]

[tex]\rm b_2_0= 500(1+2\%)^2^0^-^1[/tex]

[tex]\rm b_2_0= 500(1+0.02)^1^9\\\\\rm b_2_0 = 500\times 1.02^1^9\\\\\rm b_2_0 = 500\times1.456 \Rightarrow 728.40 \approx 728 m[/tex]

[tex]\rm b_n > a_n[/tex]  (given in the question)

[tex]\rm500(1+2\%)^n^-^1 > 500+100(n-1) \ \ or \\\\\rm500(1+2\%)^n^-^1 > 100n+400[/tex]

The above expression is not true for all the values of 'n' ie. 'n' can not be determined.

Thus, Charlie ran 2400m on day 20 of his fitness program and Daniella ran 728m on day 20 of her fitness programme.

Learn more about the sequence here:

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Answer:

[tex]\huge\boxed{\dfrac{5}{12}x-5}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{3}{4}x-1\right)-\left(\dfrac{1}{3}x+4\right)=\dfrac{3}{4}x-1-\dfrac{1}{3}x-4=\left(\dfrac{3}{4}x-\dfrac{1}{3}x\right)+(-1-4)\\\\=\left(\dfrac{3\cdot3}{4\cdot3}x-\dfrac{1\cdot4}{3\cdot4}x\right)+(-5)=\left(\dfrac{9}{12}x-\dfrac{4}{12}x\right)-5=\dfrac{9-4}{12}x-5\\\\=\dfrac{5}{12}x-5[/tex]

Answer:

5+6= 11

78-11= 67

That is the final answer

Answer:

[tex] \frac{13}{50} to \: \frac{12}{25} [/tex]

Answer:

parallel

Step-by-step explanation:

maybe I guess it parallel, cause it not perpendicular

Answer:

Step-by-step explanation:

3x - 8y = 19

    -8y = -3x + 19

        y = (3/8)x - 19/8

32x + 12y = 19

         12y = -32x + 19

             y = (-32/12)x + 19/12

             y = (-8/3)x + 19/12

as the slopes of the lines are negative reciprocals of each other, the lines are PERPENDICULAR

Answer: 127.5

Step-by-step explanation:

Question: What is 34% of 375

Percentage solution with steps:

Step 1: Our output value is 375.

Step 2: We represent the unknown value with x​.

Step 3: From step 1 above, 375=100%

Step 4: Similarly, X=34%

Step 5: This results in a pair of simple equations:

375=100% (1)

X=34%(2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

375/X = 100%/34%

Step 7: Again, the reciprocal of both sides gives:

X/374=34/100

X=127.5

Therefore, 34% of 375 is 127.5

Answer:

[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]

Step-by-step explanation:

[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]

[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]

Answer:

10% of 95 is 9.5

So 95 - 9.5 = 85.5

Answer:

-37

Step-by-step explanation:

The answer is -37

Hope this is the answer u needed have a great rest of ur day

Answer:

the answer is -37

Step-by-step explanation:

hope this helps have a good rest of your night :)❤

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

[tex]H_0: \mu_S - \mu_N \geq 0[/tex]

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

[tex]H_1: \mu_S - \mu_N < 0[/tex]

Regarding each sample, the mean and standard deviation are found using a calculator.

[tex]\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32[/tex]

[tex]\mu_S = 1445132.3, s_S = 171355.8, n_S = 30[/tex]

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

[tex]Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1[/tex]

[tex]Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1[/tex]

The distribution of the difference has mean and standard error given by:

[tex]\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 [/tex]

[tex]Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

In which [tex]\mu[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{Se}[/tex]

[tex]t = \frac{-18206.9 - 0}{38348.7}[/tex]

[tex]t = -0.47[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is [tex]t^{\ast} = 2[/tex]

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

A similar problem is given at https://brainly.com/question/13873630

Answer:

0

Step-by-step explanation:

Answer:

B.15

Step-by-step explanation:

The answer is 15 because we can identify this shape as a quadrilateral kite

So, we know that a quadrilateral kite has two pairs of congruent adjacent sides

Therefore AB = AC and BD = DC

we know that the colony is doubling, namely the rate of growth is 100% of whatever is existent, thus

[tex]\textit{Amount of Population Growth} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &5000\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\\\ A = 5000e^{1\cdot t}\implies \boxed{A = 5000e^t}[/tex]

Answer:

B) A line with a positive slope increases as it is viewed from left to right.

Step-by-step explanation:

A line with a positive slope increases as it is viewed from left to right.

A positive slope means that as a line on the line graph moves from left to right, the line rises.

Hope this helps :)

Answer:

120

Step-by-step explanation:

If you graph out the two triangles, you can see that the rotation is close to an angle of 90 - 120 degrees. And the rotation is going counterclockwise into the positives (graph quadrant IV).

Answer:

A is correct good luck bud

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 127

y = 5

z = 31

Answer:

(4,5)

Step-by-step explanation:

Answer:

If they both sell half then Kyle would have 1.5:1 and Yasmine would have 18 pennants.

Step-by-step explanation:

It will change because if they both sell half, they would have to multiply by .05  or divide by 2 because that is half of something.

3/2 or 3*0.5 = 1.5

2/2 or 2*0.5 = 1

36/2 or 36*0.5 = 18

So Kyle would have 1.5:1 pennants left and Yasmine would have 18 pennants left.

308

This is the answer

The restaurant will need 28 meters of fencing to enclose their new patio.

Here, we have to calculate the amount of fencing needed to enclose the rectangular patio, we need to find the perimeter of the patio.

The perimeter of a rectangle is the sum of all its sides.

Given:

Width (W) = 8 meters

Length (L) = 6 meters

The formula for the perimeter (P) of a rectangle is:

P = 2 * (Width + Length)

Plug in the values:

P = 2 * (8 meters + 6 meters)

P = 2 * 14 meters

P = 28 meters

So, the restaurant will need 28 meters of fencing to enclose their new patio.

Learn more about perimeter here:

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Step-by-step explanation:

Eliminate the x:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by (-3)}\\\\\left\{\begin{array}{ccc}-3(x-2y)=(-3)(6)\\3x+y=4\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-3x+6y=-18\\3x+y=4\end{array}\right}\\.\qquad\qquad7y=-14\\.\qquad\qquad y=-2[/tex]

Eliminate the y:

[tex]\left\{\begin{array}{ccc}x-2y=6\\3x+y=4\end{array}\right\\\\\text{Multiply by 2}\\\\\left\{\begin{array}{ccc}x-2y=6\\2(3x+y)=(2)(4)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}x-2y=6\\6x+2y=8\end{array}\right}\\\\.\qquad7x=14\\.\qquad x=2[/tex]

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

Answer:

D) 1530

Step-by-step explanation:

I used Desmos :)

Answer:

y=5·3x

Step-by-step explanation:

x=0, y=5:

5=a·b↑0 a=5

x=1, y=15:

15=5·b↑1

b=15/5=3

The equation of the exponential function is y = 5(3)ˣ

An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

x: 0, 1, 2, 3

y: 5, 15, 45, 135

We have to find the exponential equation:

The exponential function in the form:

y = a × b ˣ

y value of x as 0 is 5.

This is the a value in the equation.

The ratio of values between x as 1 and x as 0 is 15/5 which is equal to 3. This is the value of b in the equation.

Therefore, the equation will become:

y = 5 × 3 ˣ

Hence the equation of the exponential function is y = 5(3)ˣ

Learn more about exponential function here:

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Answer:

C

GIVE ME THE POINTS YES

Answer:

d)fluid ounce may be right answer

Answer:

p = 0.07

p-hat = 0.035

p0 = 0.07

p-value = 0.003

Step-by-step explanation:

p = population parameter, in this case, the rate of infestations across all trees in the forest

p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard

p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%

p-value = the likelihood any difference between p and p-hat is down to chance

In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;

We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).