determine if the equation is true x = 8
2x - 6 = 9

Answer:

a

Step-by-step explanation:

Answer:

Aa

Step-by-step explanation:

Answer:

79.38 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

TO=√((4²+(8+4)²)=√(16+144)=√160=√(16×10)=4√10

OU=√(2²+(4+2)²)=√(4+36)=√40=√(4×10)=2√10

area of triangle TOUR=lw=4√10×2√10=8×10=80 units²

The perimeter of the new rectangle is given by the expression 2l + 4b - 40 cm.

Given that a rectangle is of length l​ cm and breadth b​ cm.

The length of the rectangle is decreased by 10​ cm, therefore the new length of the rectangle = l - 10 cm.

The breadth is doubled, therefore the new breadth of the rectangle = 2b cm.

The perimeter of the rectangle is given by;

Perimeter = 2(l+b)

Let's substitute l - 10 for the new length and 2b for the new breadth to get;

Perimeter = 2(l-10+2b)

Perimeter = 2(l+2b-20)

Perimeter = 2l+4b-40

Therefore the perimeter of the new rectangle is 2l + 4b - 40.

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Answer:

-12  ??

Step-by-step explanation:

12-5x2+6-4x2

12-10+6-8

12-16-8

-12

Not really sure if that is correct, since the symbols look a little confusing with my glasses but ya.

Also, just in case yall forget:

P - parenthesis

E - exponents

M- multiply

D - divide

A - add

S - subtract

Answer:

Step-by-step explanation:

If we are to find f(x) + g(x) that we means that we are to add the functions together by combining like terms, if any, and put it all together into one function. Adding them looks like this:

\(-3x+7+2x^2-8\) and combining like terms gives us

\(2x^2-3x-1\)

Answer:

Well I think its less then

Step-by-step explanation:

Given:

The sequence is 29, 22,​ 15, 8,​ 1, ...

To find:

The common difference.

Solution:

We have,

29, 22,​ 15, 8,​ 1, ...

It is an AP.

First term : \(a_1=29\)

Second term : \(a_2=22\)

Now,

Common difference : \(d=a_2-a_1\)

\(d=22-29\)

\(d=-7\)

Therefore, the correct common difference is -7.

Note: Here calculation by student is not given, so we cannot find the error of the student.

Answer:

b

Step-by-step explanation:

Answer:

The guy above me its right its B.

Step-by-step explanation:

Just did the quiz and got it right

Answer:

2,000,000

Step-by-step explanation:

Simple maths, really.

65 times 2 is 130, and the population is already 500,000 with no time passing. 65 years later, the population would be 1,000,000. 65 years after that, the population would double again, so the answer would be 2 million.

Hope this helped!

Answer:

3rd option

Step-by-step explanation:

the denominator cannot be zero as this would make the expression undefined.

equating the denominator to zero and solving gives the values that x cannot be.

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

then

x = - 2, x = 9 ← are the excluded values

As per the unitary method, the original price of the watch is 217.11

The term unitary method is defined as a basic concept to find the value of a single unit and then using that value to find the value of multiple units.

Here we have given that the price of a watch was decreased by 35% and sold for $75. 99.

Let us consider that x be the original price of watch.

Here we have given that the amount of discount is calculated as,

=> 35% of x = 75.99

=> 35/100 of x = 75.99

When we simplify this then we get,

=> 0.35 of x = 75.99

Then the value of x is calculated as,

=> x = 75.99/0.35

=> x = 217.11

Therefore, the correct option is (D).

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Answer:

126m

Step-by-step explanation:

The circumference of the circle would be the amount of fencing required for the circular garden.

Circumference, C = 2πr

π = \(\frac{22}{7}\)

C = 2*20*\(\frac{22}{7}\)

C = 125.71 m

We need 125.71 meters to fence the garden.

Answer:

132

Step-by-step explanation:

1. -3(2z-8d) Solve within the parenthesis.

2. 2(6)=12, 8(7)=56

3. Do the math within the parenthesis with our new integers. 12-56=-44

4. multiply both integers now. -3(-44) = 132

*a negative times a negative wil give you a positive answer.

Answer:

12

Step-by-step explanation:

If z = 6 and d = 7, we can fill them in the variables. Let's rewrite the expression:

-3([ 2 × 6 ] - [ 8 × 7])

Let's start with the stuff inside the brackets. 2 × 6 minus 8 × 7. We know 2 × 6 = 12, and 8 × 7 = 56.

Then we have -3( 12 - 56 )

We then have to do 12 - 56, which gets us -44.

We now have -3( -44 ) or -3 × (-44)

-3 × (-44) = 12

Thus, we get our final answer of 12.

Hope this helped!

Answer:

4.76 g/cm³

Step-by-step explanation:

Density formula = mass / volume

1. Set up the equation and solve

50.0 / 10.5 = 4.76

To determine the time required to produce 9.59 mol of H2 in the electrolysis of water, we need to calculate the total charge (Q) required using Faraday's law of electrolysis. The equation relating charge (Q), current (I), time (t), and Faraday's constant (F) is:

Q = I * t

The charge (Q) can be determined by multiplying the current (I) by the time (t). Rearranging the equation to solve for time:

t = Q / I

We also need to consider the relationship between the charge (Q) and the moles of hydrogen gas (H2) produced during electrolysis. From the balanced chemical equation of water electrolysis:

2 H2O → 2 H2 + O2

We can see that 2 moles of H2 are produced for every 2 moles of water, or 1 mole of H2 for every mole of water.

Given that 9.59 mol of H2 will be produced, we know that the same number of moles of water (9.59 mol) will be electrolyzed. This implies that 9.59 mol of water will require 9.59 moles of electrons.

One mole of electrons corresponds to a charge of 1 Faraday (F), which is approximately equal to 96,485 C.

Using the given current of 126.0 mA (0.126 A) and Faraday's constant:

Q = (9.59 mol H2) * (2 mol e^- / 1 mol H2) * (96,485 C / 1 mol e^-)

Q ≈ 1,846,153 C

Now we can calculate the time required using the equation:

t = Q / I

t = (1,846,153 C) / (0.126 A)

t ≈ 14,639,622 seconds

Therefore, it will take approximately 14,639,622 seconds to produce 9.59 mol of H2 in the electrolysis of water with a current of 126.0 mA.

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The best prediction of the population in the year 2015 will be 4150

rate of decrease involves The rate of reduction expressing a decrease as a percentage of the initial value.To compute a percentage drop, first determine the difference (decrease) between the two values being compared. Then, divide the reduction by the original number and multiply the result by 100.

Given that an island's peasant population is falling at a rate of 1.7% per year,

A 1.7% decrease means that 98.3% will remain.

as a result, decrease = 0.983/year

A(t) = A(original) multiplied by (0.983)^t

As a result, after 6 years, A(6) = 4600 x (0.983)6 = 4150

As a result, the population in 2009 will be 4150.

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Answer:

\(9n - 12 \rightarrow \frac{1}{3} (9n - 12) \\ = \frac{3}{3} (3n - 4) \\ l = 3n - 4\)

The perimeter of an equilateral triangle is 9n - 12. Write an expression to represent the length of each side.

\( = \frac{9n-12}{3} \\ = \frac{3(3n - 4)}{3} \\ = 3n - 4\)

The length of each side of the triangle is 3n-4.

Hope it helps!!

Therefore, the correct option is G(10)-73, which represents a wage gap of 73% in the year 1990. This statement is false since the wage gap is 64% and not 73% in 1990.

a. We are given that G(x) = -0.01x²+x+65 represents the wage gap as a percent x years after 1980.

We are to find and interpret G(10).G(10) = -0.01(10)²+10+65

= 64

The wage gap 10 years after 1980 is 64%.

Therefore, the correct option is OA.G(10)-74, which represents a wage gap of 74% in the year 1990.

This statement is false since the wage gap is 64% and not 74% in 1990.

b. We are asked to determine the wage gap of the year 1990 from the given graph and function.

From the graph, we can see that the wage gap is approximately 65% in 1990.To confirm this using the function G, we will calculate G(10).G(10) = -0.01(10)²+10+65 = 64%

Option OB and OD are false since they don't represent the wage gap values for 1990. Thus, the correct option is OA G(10)-74, which represents a wage gap of 74% in the year 1990.

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Answer:

400 inches

Step-by-step explanation:

Area of all sides and add them

Answer: x+1 = y/2

Step-by-step explanation:

X is increasing by 1

(Adding 1 to each number)

For Y, divide it by 2

-4/2 = -2

-2/2 = -1, etc.

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

The cοffee shοp that typically sells the mοst amοunt οf cοffee per hοur is Perks A Lοt, with a mean value οf 5.75 gallοns. Sο cοrrect οptiοn is C.

The median is a measure οf central tendency in statistics that represents the middle value οf a dataset when the data is arranged in οrder frοm least tο greatest.

Tο find the median οf a dataset, yοu first arrange the values in οrder. If the dataset has an οdd number οf values, the median is the middle value. Fοr example, in the dataset {2, 3, 5, 6, 8}, the median is 5 because it is the middle value.

If the dataset has an even number οf values, the median is the average οf the twο middle values. Fοr example, in the dataset {2, 3, 5, 6, 8, 10}, the median is (5+6)/2 = 5.5 because it is the average οf the twο middle values.

Tο determine which cοffee shοp typically sells the mοst amοunt οf cοffee per hοur, we need tο cοmpare the central tendency οf the data fοr bοth shοps.

The measure οf center that we can use here is either the mean οr the median. The mean is the average value οf the data, while the median is the middle value οf the data when it is arranged in οrder.

Tο calculate the mean, we can add up all the values and divide by the number οf values. Tο calculate the median, we can arrange the values in οrder and find the middle value.

Fοr Perks A Lοt:

Mean = (10 + 3.5 + 3 + 5 + 2.5 + 7 + 8 + 5.5 + 9.5 + 6 + 9 + 4.5) / 12 = 5.75 gallοns

Median = (3 + 3.5 + 5 + 5.5 + 6 + 7 + 8 + 9 + 9.5) / 9 = 5.75 gallοns

Fοr Wide Awake:

Mean = (2.5 + 10 + 4 + 18 + 4 + 3 + 6.5 + 15 + 6 + 5 + 2.5) / 11 = 6.36 gallοns

Median = (3 + 4 + 4 + 5 + 6.5 + 6 + 10 + 15 + 18) / 9 = 4.5 gallοns

Cοmparing the mean and median values, we can see that Perks A Lοt has bοth a mean and median value οf 5.75 gallοns, while Wide Awake has a mean value οf 6.36 gallοns and a median value οf 4.5 gallοns.

Therefοre, the cοrrect measure οf center tο determine which shοp typically sells the mοst amοunt οf cοffee per hοur is the mean, and the cοffee shοp that typically sells the mοst amοunt οf cοffee per hοur is Perks A Lοt, with a mean value οf 5.75 gallοns.

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Answer:

Step-by-step explanation:

You want the value of the piecewise function for various values of x.

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

For x = -5, the applicable domain is x < -3, so the function is ...

  h(-5) = -4(-5) -18 = 20 -18

  h(-5) = 2

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

  h(0) = 1

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

  h(1) = 1 +2 = 3

  h(4) = 4 +2 = 6

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Answer:

C) 240ma

Step-by-step explanation:

Answer: 25.00$

Step-by-step explanation:50.00 take away 50% from it you have 25$

Answer:

$25

Step-by-step explanation:

It would be 25 because half of 50 is 25.

The formula connecting E and F is E = k/F3, where k is a constant. This formula states that the value of E is inversely proportional to the cube of F.

That is, as F increases, the value of E decreases. For example, if F increases from 3 to 4, then the value of E decreases by a factor of 8.

This inverse proportionality between E and F3 is due to the fact that, as F increases, the cube of F increases at a faster rate. In other words, when F doubles, the cube of F increases by a factor of 8. This causes the value of E to decrease by the same factor of 8.

The formula is useful in many applications, such as in physics and engineering. For example, in physics, the formula can be used to calculate the force of an object in a gravitational field. The force is inversely proportional to the cube of the distance between the object and the center of gravity, where the constant k is equal to the gravitational constant. In engineering, the formula can be used to calculate the power of a motor, where the power is inversely proportional to the cube of the speed of the motor.

Overall, the formula E = k/F3 expresses the inverse proportionality between E and F3, and is used in various applications to calculate the value of E given the value of F.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Cluster Sample is the sampling method used in this type of data collection.

Cluster sampling is a sampling technique used in statistics that divides the total population under consideration into externally homogeneous but internally heterogeneous groupings known as clusters. Each cluster essentially serves as a miniature representation of the overall population.

Using simple random sampling, some clusters are picked after the clusters have been identified, while the remaining clusters are left out of the study. A researcher must determine the right sampling strategy for each cluster after identifying the clusters.

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The required bearing angle of town B from Thomas is 75°.

We have,

Bearing is basically an angle that is measured clockwise from the north. Bearing are generally written in three figure.

Given that

Thomas is facing towards town A, which is at a bearing of 300°.

Implies that town A is 300° from north.

If Thomas turns 135° clockwise, then he faces towards town B,

The bearing angle will be 300+135 = 435°

Since, one complete round makes angle 360°, therefore

The required bearing angle = 435 - 360 = 75

The bearing angle of town B from Thomas is 75°.

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