Solve for X and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.
2x-7=1
Look at picture to see full equation
HELP PLEASE!!

Answer: 4 exercises

Step-by-step explanation:

If we completed 87.5% of the math exercises before dinner, then we have completed 0.875 × total number of exercises.

Let "\(x\)" be the total number of exercises.

\(0.875x = 28\)

Solving for \(x\), we get:

\(\boxed{\begin{minipage}{4 cm}\text{\LARGE 0.875x = 28 } \\\\\\ \large $\Rightarrow$ $\frac{0.875x}{0.875}$ = $\frac{28}{0.875}$\\\\$\Rightarrow$x = 32\end{minipage}}\)

Therefore, the total number of exercises is 32.

We completed 28 exercises before dinner, so we have:  32 - 28 = 4 exercises left to do after dinner.

________________________________________________________

Answer:

64

........................

Answer:

\(d=\sqrt{73}\approx8.54\)

Step-by-step explanation:

So we have the two points (10,-4) and (2,-7).

And we want to find the distance between them using the Distance Formula and the Pythagorean Theorem. Let's do each one individually.

1) Distance Formula.

The distance formula is:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

Let's let (10,-4) be (x₁, y₁) and let's let (2,-7) be (x₂, y₂). So:

\(d=\sqrt{((2)-(10))+((-7)-(-4))^2\)

Simplify:

\(d=\sqrt{(2-10)^2+(-7+4)^2\)

Subtract:

\(d=\sqrt{(-8)^2+(-3)^2\)

Square:

\(d=\sqrt{64+9}\)

Add:

\(d=\sqrt{73}\)

Approximate:

\(d\approx8.54\)

So, the distance between (10,-4) and (2,-7) is approximately 8.54 units.

2) Pythagorean Theorem

Please refer to the graph.

So, we want to find the distance. This will be the length of the red line, or the hypotenuse.

First, let's find the length of the two legs.

The longer leg will be the difference between the two x-coordinates. So, the length of the longer leg is:

\((10-2)=8\)

Note: It doesn't matter if we do 2-10, which gives -8, since we are going to square anyways. Also, distance is always positive, so 8 would be our answer.

And the shorter leg is the difference between the two y-coordinates. Namely:

\((-7-(-4))=-3=3\)

So, the shorter leg is 3 units.

So now, we can use the Pythagorean Theorem, which is:

\(a^2+b^2=c^2\)

Substitute 8 for a and 3 for b. So:

\((8)^2+(3)^2=c^2\)

Square:

\(64+9=c^2\)

Add:

\(c^2=73\)

Take the square root:

\(c=\sqrt{73}\approx8.54\)

This is the same as our previous answer, so we can confirm that it's correct.

So, using both the distance formula and the Pythagorean Theorem, the distance between the two points is approximately 8.54.

And we're done!

Distance formula: d = √(x2-x1)²+(y2-y1)²

= √(2-10)²+(-7-(-4))²

= √-8²+(-3)²

= √64+9

= √73

≈ 8.54

Best of Luck!

The correct answer is a)True  c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order

a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.

c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.

a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.

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Answer:

19 my friends

have a good day

Step-by-step explanation:

Answer:

25 and 54

Step-by-step explanation:

(a)

6z² - 2z + 5 ← substitute z = 2

= 6(2)² - 2(2) + 5

= 6(4) - 4 + 5

= 24 - 4 + 5

= 20 + 5

= 25

(b)

64 - 5z ← substitute z = 2

= 64 - 5(2)

= 64 - 10

= 54

The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

H0: u = 24000

H1: u > 24000

we have n = 84 homes

bar x = 27500

s = 2400

Next we have to find the test statistic

The formula for this is given as

\(t = \frac{x-u}{s/\sqrt{n} }\)

When we out in the values we would have

\(t = \frac{27500-24000}{2400/\sqrt{84} }\)

This would give us the answeer of the t test as

t test = 13. 3658

We have alpha = 0.02

the degree of freedom = 84 - 1 = 83

we have to find tα/2, df

=  ±2.0865

Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.

Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

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Answer:

B

Step-by-step explanation:

4 would be negative (or less than), and 2 times a number is the 2n

Answer            

It's b, but i need extra characters to add this answer rip so ignore this part                                        

The line integral of $2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486 according to the given information.

To calculate the line integral $\int_C 2x^2 \mathrm{~d}y$, we need to parameterize the curve $C$ and express $x$ and $y$ in terms of the parameter $t$. The given curve is defined as $\mathbf{r}(t) = \langle 3t-3, 3t \rangle$, where $0 \leq t \leq 4$.

Differentiating $\mathbf{r}(t)$ with respect to $t$, we have $\mathbf{r}'(t) = \langle 3, 3 \rangle$. Integrating $2x^2$ with respect to $y$ along the curve $C$ gives us:

$\int_C 2x^2 \mathrm{~d}y = \int_0^4 2(3t-3)^2 (3 \mathrm{~d}t) = 2 \int_0^4 (27t^2 - 54t + 27) \mathrm{~d}t$.

Evaluating the integral, we get $\int_C 2x^2 \mathrm{~d}y = [9t^3 - 27t^2 + 27t]_0^4 = 486$.

Therefore, the line integral $\int_C 2x^2 \mathrm{~d}y$ along the curve $C$ is equal to 486.

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Answer:

C. $42.00

Step-by-step explanation:

You use the equation:  amount earned × hours worked

So you will do $8.50 × 5 and you should get $42.00

So therefore, Katie's total earnings for the day is C. $42.00

To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.

By calculating,

600/10=60 and 59 students which is less than 10% of the population.

A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.

Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values

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Step-by-step explanation:

Change into improper fraction

-23/3+(-11/2)+35/4

Open the bracket

-23/3-11/2+35/4

Using BODMAS

-23/3-57/4

Find the LCM

-92-171/12

-263/12

-21*11/12

The grounded ends of the guy wires are 15 meters apart.

Using the Pythagorean theorem, we can calculate the length of the base (distance between the grounded ends of the guy wires).

Let's denote the length of the base as 'x.'

According to the problem, the height of the tower is 20 meters, and the length of each guy wire is 25 meters. Thus, we have a right triangle where the vertical leg is 20 meters and the hypotenuse is 25 meters.

Applying the Pythagorean theorem:

x² + 20² = 25²

x² + 400 = 625

x² = 225

x = √225

x = 15

Therefore, the grounded ends of the guy wires are 15 meters apart.

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The equivalent expression to 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a is 6/5a + 2/3b - 7/6b + 1/8.

Expression is a mathematical phrase that can contain numbers, variables, and operators.

An equivalent expression is a different expression that has the same value as the original expression. In this question, we need to find an equivalent expression to 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a.

Let's start by simplifying the fractions in the expression. We can see that 4/5a and 2/5a have a common denominator of 5a. We can add these two fractions by finding a common denominator and then adding the numerators. The equivalent fraction to 4/5a + 2/5a is 6/5a.

Next, we can simplify the expression by combining like terms, which are terms that have the same variable and coefficient.

The equivalent expression to

=> 4/5a + 2/3b + 1/8 - 7/6b - 3/4 - 2/5a = 6/5a + 2/3b - 7/6b - 3/4 + 1/8.

Finally, we can simplify the expression by combining the constants, which are terms without variables. The equivalent expression to

=> 6/5a + 2/3b - 7/6b - 3/4 + 1/8

after combining constants is

=> 6/5a + 2/3b - 7/6b + 1/8.

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The probability that the first ball is blue given that the second ball is blue is 120/889, or approximately 0.135.

To solve this problem, we can use Bayes' theorem, which states that:

P(A|B) = P(B|A) x P(A) / P(B)

where A and B are events,

P(A|B) is the conditional probability of A given that B has occurred,

P(B|A) is the conditional probability of B given that A has occurred,

P(A) is the probability of A,

P(B) is the probability of B.

Let's define the events as follows:

A = the event that the first ball is blue

B = the event that the second ball is blue

We want to find P(A|B), the probability that the first ball is blue given that the second ball is blue.

We can first calculate the individual probabilities:

P(A) = 10/17 (the probability of drawing a blue ball on the first draw)

P(B) = P(B|A) x P(A) + P(B|not A) x P(not A)

= (9/16 x 10/17) + (10/16 x 7/17)

= 89/272 (the probability of drawing a blue ball on the second draw)

To find P(B|A), the probability of drawing a blue ball on the second draw given that the first ball was blue, we know that there are 9 blue balls left out of 16 total balls remaining:

P(B|A) = 9/16

Now we can plug these values into Bayes' theorem:

P(A|B) = P(B|A) x P(A) / P(B)

= (9/16 x 10/17) / (89/272)

= 120/889

Therefore, the probability that the first ball is blue given that the second ball is blue is 120/889, or approximately 0.135.

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Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

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There will be 165,001 Bacteria after 12 hours.

Given: initial number of bacteria = 200

Growing rate of bacteria = 75% per hour = 1.75 per hour

Now, number of bacteria after one hour = 200 + 200 x 1.75 = 350

Again the number of bacteria after two hours = 350 + 350 x 1.75 = 612.5

Similarly,

The number of bacteria after 12 hours = 200 x \(1.75^{2}\) = 165,001 (approx.)

Hence, Approximately there will be 165,001 bacteria will be there after 12 hours.

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Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

Answer:

4

Explanation:

Answer:

Step-by-step explanation:

Vertical angles:

∠1  and ∠3;

∠2 & ∠4

∠5 and ∠7;

∠6 & ∠8

Corresponding angles: angles that are on the same side of the transversal and in same position.

∠1 & 5 ;   ∠2 & ∠6  ; ∠3 & ∠7   ; ∠4 & ∠8

Alternate exterior angles:

∠1 & ∠7 ;

∠2 & ∠8

Same side interior angles:

∠4 & ∠5 ;

∠3 & ∠6

Vertical Angles are :

<4,<5

<3,<6

Corresponding angles :

<1,<5

<2,<6

<4,<8

<3,<7

Alternate exterior angles:

<1,<7

<2,<8

Same side interior angles:

<4,<5

<3,<6

Answer:

$13087.92

Step-by-step explanation:

formula: ab^x

a= starting  amount

a= 5072

b= 1+r

r=rate

r=9%=0.09

b=1+0.09 =1.09

x= 11 (years)

account after 11 years:

= 5072(1.09)^11

=13087.9227277

= 13087.92

Answer:

12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so..  144 + 1225 = 1369. SO 12 would fit!

The area of the shape is 59.1 ft² ( nearest tenth)

The area of shape is the space enclosed within the perimeter or the boundary of a given shape. The shape consist of a parallelogram and a rectangle.

For us to get the area of the shape , we calculate the area of parallelogram and add it to the area of the rectangle.

Area of parallelogram = b×h

height of the parallelogram is calculated as;

sin60 = h/4

√3/2 = h/4

4√3 = 2h

h = 4√3/2 = 2√3 ft

Area = 5.5 × 2√3

= 11√3 ft² = 19.1ft²

Area of rectangle = l×w

width of the rectangle is calculated as;

cos60 = w/4

1/2 = w/4

2w = 4

w = 4/2 = 2

Area = 2 × 20 = 40ft²

Area of the shape = 40+ 19.1

= 59.1ft²

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Answer:

b is the answer

Step-by-step explanation:

4 is hours and 60 m

Answer:

The answer is B

Step-by-step explanation:

"The point shows (4,60) shows that it takes 4 hours to install 60m of fencing"

I did this on khan too

hope this helps :)

Inferential statistics is one of the three basic ways of explaining the results of a research investigation. Group of answer choices Comparing variable quantities Graphing relationships between variables Comparing group percentages Making precise statements about data by correlating the scores of individuals on two variables.

Making precise statements about data by correlating the scores of individuals on two variables is one of the three basic ways of explaining the results of a research investigation.

This is also known as inferential statistics, which involves making predictions or generalizations about a larger population based on sample data.

The other two basic ways of explaining research results are descriptive statistics, which involves summarizing and describing the characteristics of a sample, and graphical representation, which involves using visual aids to display data and relationships between variables.

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Answer:

Not a solution.

Step-by-step explanation:

(x, y)

(-1, 2)

Substitute the x and y values in the expression with the point given.

8x + y > -6

8(-1) + 2 > -6

-8 + 2 > -6

-6 > -6

Since our final value has to be greater than -6 but is instead equal to -6, the solution is not true.

Answer:

1) 0.9 = 9/10

2) 2 x (4² - 5) = 2 x (16-5) = 2 x 11= 22

3)  t/4=16 16*4=t 64=t t=64

4) 2.4p=7.56  p=7.56/2.4  p=3.15

5) 8*5=40m² 40*4=160m³ v=160m³

6) 3x=27  x=27/3  x=9

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12