6^2 - (3 * -4) + 20
please help meeee

6^2 = six to the second power

\( \huge \fbox \orange{♧Answer♧}\)

\( \mathcal\blue{METHOD\:1} \)

\( \mathsf \purple{ - ( \frac{y}{x} )}\)

\( \mathsf \purple{ - ( \frac{ - 4}{5})} \)

\( \mathsf \purple{( \frac{4}{5} )}\)

\( \mathcal\blue{METHOD\:2} \)

\( \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} \)

\( \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} \)

\( \mathsf\purple{( \frac{4}{5})} \)

\( \mathcal\blue{METHOD\:3} \)

\( \mathsf\purple{m\:=\:rise\:÷\:run} \)

\( \mathsf\purple{m\:=\:( \frac{4}{5})} \)

\( \mathbb\pink{NOTE:} \)

Answer:

\(2x + 7 + 8x + 12 \\ collecting \: like \: terms \: \\ 2x + 8x + 7 + 12 \\ 10x + 19\)

Which of the following tests would be administered to see if the percentage of votes in a city’s mayoral election matches what is being reported by the local newspaper?

Two-tailed hypothesis tests are also known as nondirectional and two-sided tests because you can test for effects in both directions

Answer:

a=d-c/b

Step-by-step explanation:

Answer:

a=25

Step-by-step explanation:

Solve by subtracting 3 from both sides.

a/5=5

Multiply both sides by 5.

a=25

Answer:

Step-by-step explanation:

a/5+3=8

Subtract 3 from both sides:

a/5+3 -3=8 -3

a/5=5

Multiply both sides by 5:

5×a/5=5×5

a=25

Hope it helps!

Answer:

464

Step-by-step explanation:

the number has one, zero at the end. same for the ten.

just take zero for zero and you end up with 464

The simplified expression is  \(\frac{3\sqrt{3x}}{7x}\).

Given that an expression, 3√(6) / 7 √(2x), we need to simplify it,

So,

√(6) = √2 × √3

√(2x) = √2 × √x

So, we can solve the expression by putting the above simplified terms,

= 3√(6) / 7 √(2x)

= [3 × √2 × √3] / [7 × √2 × √x]

Canceling the common terms,

= 3√3 / 7√x

Rationalizing the denominator,

= \(\frac{3\sqrt 3}{7\sqrt{x} } \times \frac{\sqrt{x}}{\sqrt{x}}\)

= \(\frac{3\sqrt{3x}}{7x}\)

Hence the simplified expression is  \(\frac{3\sqrt{3x}}{7x}\).

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\(\bold{\huge{\blue{\underline{ Solution }}}}\)

Here, We have,

\(\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}\)

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

\(\sf{√(a - b - c)(b-c-d) }\)

\(\sf{√(dk³ - dk² - dk) (dk² - dk - d) }\)

\(\sf{√d(k³- k² - k) d(k² - k - 1)}\)

\(\sf{d√(k³- k² - k) d(k² - k - 1)}\)

\(\sf{d√k(k²- k - 1)(k² - k - 1)}\)

\(\sf{d(k²- k - 1)√k ...eq(1)}\)

By solving LHS :-

\(\sf{√ab - √bc - √cd}\)

\(\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}\)

\(\sf{√d²k^5 - √ d²k³ - √d²k}\)

\(\sf{dk²√k - dk√k - d√k}\)

\(\sf{(dk² - dk - d)√k}\)

\(\sf{d(k²- k - 1)√k...eq(2)}\)

From eq(1) and eq(2)

\(\bold{\red{ LHS = RHS }}\)

That is,

\(\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}\)

Yes, the RHS and the LHS are equal/

Given:

\(a/b= b/c = c/d\)

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

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Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

Answer:

(5,-1)

Step-by-step explanation:

Got it right on edge cause of the guy above me

Answer:

The correct option is (D).

Step-by-step explanation:

A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.

That is:

x₁ → y₁

x₂ → y₂

x₃ → y₃

.

.

.

and so on.

Consider the graph.

From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.

So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Given :

Draw the graph of the three lines in order to determine the function is one-one function or not.

The equation of the line passing through (-5,6) and (-2,0) is given by:

\(\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}\)

\(\dfrac{y-6}{x+5}=\dfrac{-6}{3}\)

\(y-6=-2(x+5)\)

y + 2x + 4 = 0    --- (1)

The equation of the line passing through (-2,0) and (2,2) is given by:

\(\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}\)

2y = x + 2   ---- (2)

The equation of the line passing through (2,2) and (4,-2) is given by:

\(\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}\)

y - 2 = -2(x - 2)

y + 2x = 6   ---- (3)

Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.

So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.

Therefore, the correct option is D).

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Answer: Anything less than for ft.

Step-by-step explanation:

Draw a number line I dunno.

Answer:

Wait,

Step-by-step explanation:

Answer:

15 students celebrate both holidays

Step-by-step explanation:

Let the number of students that celebrate both be x

By set notation, we add up individual sides as follows to give the number of values on the universal set

Mathematically, that will be;

50 = (29-x) + (36-x) + x

50 = 29-x + 36-x + x

50 = 65-x

x = 65-50

x = 15

Answer:

37.5%

Step-by-step explanation:

40÷100=0.4

15÷0.4=37.5

Answer:

the answer is 37.5%

Step-by-step explanation:

because thats what

As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

Formula for standard deviation calculation is:

\(\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}\) (Population Standard Deviation)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}\) (Sample Standard Deviation)

\(\bar x= 19.1\)

\(\sum {(X - \bar x) ^ {2}} = 162\)

\(n-1 = 6\)

\(s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}\)

\(s= \sqrt 27\)

\(s= 5.196\)

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All the parts shown in the figure are solved.

A mathematical technique that is used to determine the possible arrangement of the objects when the sequence of selection does not matter.

Part 1

(a) When two dices are rolled the basic outcomes will be =?

Each dice has 6 outcomes and therefore 6* 6 =36

Therefore total 36 basic outcomes.

(b) Yes both the events are equally likely .

Part 2

(a) There can be 11 types of sum from 2 -12 obtained when two dices are rolled

Sum

2 1+1                                                  

3 1+2, 2+1                                          

4 1+3, 2+2, 3+1                                  

5 1+4, 2+3, 3+2, 4+1                            

6 1+5, 2+4, 3+3, 4+2, 5+1                    

7 1+6, 2+5, 3+4, 4+3, 5+2, 6+1          

8 2+6, 3+5, 4+4, 5+3, 6+2          

9 3+6, 4+5, 5+4, 6+3                          

10 4+6, 5+5, 6+4                                  

11 5+6, 6+5                                          

12 6+6    

(b) They are not equally likely as the sum obtained is dependent on both the dice rolling.

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The value of arc EFC is 253 degree.

We have the arc :

Arc EFC

Arc CD

Arc DE

And, we know that sum of circular angle is 360 degree.

Arc EFC + Arc CD + Arc DE = 360

If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.

Arc CD is 90 degrees since the central angle is 90 degrees given

Arc DE is 17 degrees

Arc EFC + Arc CD + Arc DE = 360

If we input all the figures

Arc EFC + 90 + 17 = 360

Arc EFC + 107 = 360

Arc EFC = 360 - 107

Arc EFC = 253

Therefore, Arc EFC = 253°

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The correct questions is:

Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°

Answer:

8 trips

Step-by-step explanation:

You can solve this by unitary method.

15 kilometers in 5 trips means 1 trip consist of 3 kilometers

Therefore, 24/3 = 8

So the required answer is 8 trips.

Thank you!!

Calibrations errors.

Systematic error.

The principal explanation or reason for anomalies (deviations from theory) found in your mapped electric fields is related to the equipment used.

Two sources of random (statistical) error could include inaccuracies in the measurement device and fluctuations in the environment.

Two sources of systematic error could include calibrations errors of the equipment and interference from external sources.

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We will have the following:

We can see that the function follows a path of exponential decay, so the expression that models it is:

The number of ounces of apple sauce each person gets is given by option (B) 2 2/5 ounces.

Total amount of applesauce jar = 12 ounces

Number of friends = 4

If Trey and his four friends equally share a 12 ounce jar of apple sauce.

Then the total amount of apple sauce will be divided into 5 equal parts (Trey + 4 friends).

The amount of apple sauce that each person receives,

Divide the total amount of apple sauce by the number of people,

⇒Amount of apple sauce per person

= Total amount of apple sauce / Number of people

= 12 ounces / 5 people

= 2.4 ounces

In mixed number form it is written as ,

2.4 ounces = 2 2/5 ounces

Therefore, each person receives ounces of apple sauce, is equal to option (B) 2 2/5 ounces .

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The above question is incomplete , the complete question is:

Trey and his four friends equally share a 12 ounce jar of apple sauce. how much applesauce, in ounces, does each person receive?

A. 5/12

B. 2 2/5

C. 17

D. 60

Answer:

-x-3 = y

Step-by-step explanation:

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

DF=12√2

FG=12√2

DG=24

Step-by-step explanation:

Ratio of special Right Triangle (45:45:90): x:x:x√2

Triangle DEF: x:x:x√2

x=12

12: 12: 12√2

So, DF= 12√2

Opposite (if q, then p) Base angle theorem. So, FD≅FG.

FD=12√2

FG=12√2

Ratio of 45:45:90 Triangle: x:x::x√2

x in triangle FDG= 12√2

12√2:12√2:12√2(√2)

12√2*√2=24

=12√2: 12√2: 24

DG=24

The particle's velocity vector at t = 4 is (1, 0), and the acceleration vector is (0, 0).

To find the particle's velocity and acceleration vectors at t = 4, and sketch them as vectors in the curve y = x^2. Here are the steps:

Identify the given path equation: r(t) = (t, 0) + (3, 6). Simplify the equation:

r(t) = (t + 3, 6)

Find the derivative with respect to t (velocity vector): v(t) = dr/dt = (1, 0). Find the second derivative with respect to t (acceleration vector): a(t) = dv/dt = (0, 0)

Substitute t = 4 to find the velocity and acceleration vectors at t = 4:
  v(4) = (1, 0)
  a(4) = (0, 0)

So, the particle's velocity vector at t = 4 is (1, 0), and the acceleration vector is (0, 0).

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Step-by-step explanation:

Did you mean

h(x) = x² + 11

g(x) = √(x - 2)

= (hog)(x)

= h( g(x) )

= (√(x - 2) )² + 11

= x - 2 + 11

= x + 9

(hog)(x) = x + 9

The value(s) of k that make the function continuous over the given interval are k ≥ 0.

To determine the values of k that make the function f(x) continuous over the interval [0, 5] and (5, 10], we need to ensure that the function is defined and has no discontinuities at the endpoints and the transition point.

For the function f(x) = √(kx), the square root function is defined for non-negative values of its argument. Therefore, for the interval [0, 5], we require that kx ≥ 0 for all x in the interval. Since x is non-negative, it follows that k must also be non-negative or k ≥ 0.

For the interval (5, 10], the function is given by f(x) = x + 2, which is a linear function and is continuous for all real values of x. In this case, the value of k does not affect the continuity of the function.

In summary, for the function f(x) = √(kx) to be continuous over the interval [0, 5] and (5, 10], we need k to be non-negative or k ≥ 0.

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If he makes the cubes as large as possible, the maximum number of cubes is equal to 900 cubes.

In order to determine the number of cubes that would be produced by Richard when the rectangular prism is cut into congruent cubes without any part of the rectangular prism leftover, we would make the edges of the cube 100 times larger and then evaluate:

Note: The greatest common factor (GCF) of the dimensions above is 75.

Next, we would divide each of the dimension by 75:

Length of cube = = 450/75 = 6 feet.

Breadth of cube = 750/75 = 10 feet.

Height of cube = 1125/75 = 15 feet.

Therefore, the maximum number of cubes is given by:

Maximum number of cubes = 6 × 10 × 15

Maximum number of cubes = 900 cubes.

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Complete Question:

Richard cuts a 4 1/2 ft × 7 1/2 ft × 11 1/4 ft rectangular prism into congruent cubes without any part of the prism leftover. If he makes the cubes as large as possible, how many will he produce?

The price of new car is reduced by $825 from the original price $12,500 which implies the price of car after reduction is $11,625 i.e

The percentage reduction is 7 .

Percentage is calculated by dividing the value by total value and then multiply with 100.

We have given that,

The price of a new car = $12,500

After the some reduction in price

then the price of car = $11,625

The reduction in total price of car = original price - price after reduction

= $12,500 - $11,625

= $875

Now, we have to calculate the reduction of price in percentage.

Using the percentage reduction formula,

P% = (original price - price after reduction )× 100 /original price

=> percentage reduction = ( 875/12500)×100

=> percentage reduction = 875/125 = 7

Hence, the reduction is 7% .

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The electric field for a nonconducting plate with a charge per unit area of 9 located at z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

When z < 0, the plate is located below the second plate, resulting in the cancellation of electric field contributions due to the opposite charges on the plates. Therefore, the electric field is zero in this region.

For 0 < z < 4.75 cm, the electric field can be calculated using the formula E = σ / (2ε₀), where σ is the charge per unit area and ε₀ is the permittivity of free space. Substituting the given values, we find the electric field to be \(2.16 \times 10^4 N/C\) directed in the positive z-direction.

For z > 4.75 cm, the electric field is again given by E = σ / (2ε₀), but this time the charge per unit area is negative. Therefore, the electric field is \(2.16 \times 10^4 N/C\) directed in the negative z-direction.

In summary, the electric field for z < 0 is zero, for 0 < z < 4.75 cm is \(2.16 \times 10^4 N/C\) in the positive z-direction, and for z > 4.75 cm is \(2.16 \times 10^4 N/C\) in the negative z-direction.

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