Which statement is true about the following expression?
(2 – 7)(y + 15)
O A.
The expression has 3 factors.
B.
The expression contains no factors.
С.
The expression has 1 factor.
D.
The expression has 5 factors.

It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

Learn more about the volume of cuboid here:

https://brainly.com/question/29568631

#SPJ4

We need to multiply the numerator and denominator by 3-√5 to rationalize the denominator of the fraction. Therefore, the correct answer is option B

To rationalize the denominator of the fraction 6−2√3+√5, we need to eliminate any radicals present in the denominator. We can do this by multiplying both the numerator and denominator by an expression that will cancel out the radicals in the denominator.

In this case, we can observe that the denominator contains two terms with radicals: -2√3 and √5. To eliminate these radicals, we need to multiply both the numerator and denominator by an expression that contains the conjugate of the denominator.

The conjugate of the denominator is 6+2√3-√5, so we can multiply both the numerator and denominator by this expression, giving us:

(6−2√3+√5)(6+2√3-√5) / (6+2√3-√5)(6+2√3-√5)

Simplifying the numerator and denominator, we get:

(6 * 6) + (6 * 2√3) - (6 * √5) - (2√3 * 6) - (2√3 * 2√3) + (2√3 * √5) + (√5 * 6) - (√5 * 2√3) + (√5 * -√5) / ((6^2) - (2√3)^2 - (√5)^2)

This simplifies to:

24 + 3√3 - 7√5 / 20

Therefore, the correct answer is option B.

To learn more about numerator and denominator click on,

https://brainly.com/question/7067665

#SPJ1

Answer:

\(\angle BAC = 141\frac{3}{7} ^{\circ}\)

Step-by-step explanation:

The interior angle of a regular heptagon = = 900/7° = 128.57°

Therefore, angle DAB = 128.57°

The interior angle of the square = 90°

Therefore, angle DAC = 90°

Therefore, we have

angle DAB+ angle DAC + angle BAC = 360° (sum of angles at a point (A))

Angle BAC = 360° - angle DAB - angle DAC =  360° - 900/7° - 90° = 990/7°

Angle BAC = 141.43°

Expressing 141.43° as a common fraction gives;

\(141.43 ^{\circ}= \dfrac{990}{7} ^{\circ}=141\frac{3}{7} ^{\circ}\)

\(\angle BAC = 141\frac{3}{7} ^{\circ}\)

 The degree measure of exterior angle BAC is \(141\frac{3}{7}^\circ\)

Given, A square and a regular heptagon are coplanar as shown in below figure attached.

We have find the exterior angle of BAC.

We know that, The formula that gives the interior angle measure for a regular polygon with any number of sides is,

\(\frac{180(n-2)}{n}\)  where n is the number of sides.  

Since the heptagon has 7 no. of sides.

So regular heptagon's interior angle measures,

\(\frac{180(7-2)}{7}=128\frac{4}{7}\)

Hence \(\angle A\) will be\(128\frac{4}{7}\) degrees.

We know that a square's interior angle is 90 degrees and a heptagon's interior angle is  128.57 degrees. We will subtract those from 360 degrees to find angle BAC.

\(\angle BAC = 360 - (\angle A + 90)\\\)

\(\angle BAC = 360 - (128\frac{4}{7} + 90)\\\angle BAC=141\frac{3}{7} ^\circ\)

Hence the degree measure of exterior angle BAC is \(141\frac{3}{7}^\circ\).

For more details on Exterior angle follow the link:

https://brainly.com/question/2125016            

Answer: X will be -20 + 3/20f

The value of x is -7 if the equation is 3/4(x+21)=10 1/2 which is a linear equation in one variable.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

3/4(x+21) = 10 1/2

The equation can be written as:

3/4(x+21) = 21/2

Cross multiplication:

6(x + 21) = 84

x + 21 = 84/6

x + 21 = 14

x = 14 - 21

x = -7

Thus, the value of x is -7 if the equation is 3/4(x+21)=10 1/2 which is a linear equation in one variable.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

13/20 Hours

Step-by-step explanation:

you have to find a common denominator. (20) You do 4x5 and 5x4 both equal 20. Then you do 1x5=5 and 2x4=8 then 8+5=13  then you make your fraction which is 13/20.

Answer:

0.3%

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Divide 6 by 2000

6/2000 = 0.003

One Way to Solve:

To convert any percentage to a decimal, move the decimal point two spaces back from the percentage

0.003 = 000.3%

Answer:

when X=1 y = -9/2

Step-by-step explanation:

\( - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} \)

The car is about a year old if it depreciates exponentially at a rate of 9% per year 0.62

In order to know how old the car is, we will use the depreciation formula expressed below:

\(P_{t}=P_{0}e^{rt}\)

\(P_t\) is the final price = 16000

\(P_0\)  is the initial price = 28000

Given the rate of 0.09

Substitute the given parameters into the formula to get the time "t"

\(16000 = 28000e^{0.09t}\)

\(\frac{16000}{28000} = e^{0.09t}\)

t=0.5714/0.9139

This shows that the car is about a year old if it depreciates exponentially at a rate of 9% per year

To learn more about exponential-related problems here: https://brainly.com/question/476749

#SPJ4

The given statement "The slope of a regression line measures how steeply the cost line rises as activity increases." is true because  the slope of a regression line represents the change in cost for each unit increase in activity.

True. The slope of a regression line is a measure of the relationship between two variables, and it represents the change in the response variable (y-axis) for each unit increase in the predictor variable (x-axis). In the context of cost and activity, the slope of a regression line represents the change in cost for each unit increase in activity.

A steeper slope indicates that costs are increasing more rapidly as activity increases, while a flatter slope indicates a less rapid increase in costs with increasing activity.

Learn more about slope of regression line at https://brainly.com/question/29753986

#SPJ11

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

x=0

Step-by-step explanation:

Answer:

dont have question

Step-by-step explanation:

Answer:

161.557- so the second one

Step-by-step explanation:

The cost of carpeting its floor at Rs 50 per sq. metre. is Rs. 9000.

Let the length of the rectangle be 'L'.

Let the breadth of the rectangle be 'B' = 12 m.

The perimeter if given as 54 m.

P = 2(l + b)

54 = 2(l + 12)

l + 12 = 27

l = 15 m

Now, find the area.

Area = l×b

Area = 15 × 12

Area = 180 m²

The cost of floor carpeting is at Rs 50 per sq. metre.

Thus, for 180  m²

Total cost  = 50  × 180

Total cost  = Rs. 9000

Thus, the total cost of floor carpeting is Rs. 9000.

To know more about the perimeter of rectangle, here

https://brainly.com/question/17297081

#SPJ9

If you want to have $293,000 in 28 years, you would need to put $267.72 into an investment plan that pays 4.4% compounded monthly.

We can use the formula for the future value :

\(FV = PMT * (1 + r/n)^n * nt\)

Where

In this case, FV = $293,000.00, PMT = ?, r = 0.044/12 = 0.00367, n = 12, and t = 28.

Solving for PMT, we get:

\(PMT = FV / (1 + r/n)^n * nt = $293,000.00 / (1 + 0.00367)^1^2 * 12 * 28 = $267.72\)

Therefore, If you want to have $293,000 in 28 years, you would need to put $267.72 into an investment plan that pays 4.4% compounded monthly.

Learn more about  future value here : brainly.com/question/30548878

#SPJ1

The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.

To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.

In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.

Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.

Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.

Learn more about LP model here : brainly.com/question/33051152

#SPJ11

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

They will both have paid the same amount after 4 months

Step-by-step explanation:

Assume that they will pay the same amount after x months

∵ Billy pays $30 for his new phone

∵ He only pays $12.50 each month

→ Find how much he will pay in x month

∴ He will pay → 30 + 12.50x

∵ Annie got her new phone for free

∵ She only pays $20 a month

→ Find how much she will pay in x month

∴ She will pay → 20x

∵ They will pay the same amount

→ Equate their expressions above

∴ 20x = 30 + 12.50x

→ Subtract 12.50x from both sides

∵ 20x - 12.50x = 30 + 12.50x - 12.50x

∴ 7.50x = 30

→ Divide both sides by 7.50

∴ x = 4

∴ They will both have paid the same amount after 4 months

Answer:      -7°F

Step-by-step explanation:

if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.

The p value for your hypothesis test is 0.0832.

To calculate the p-value for a hypothesis test, we need to know the null hypothesis, the alternative hypothesis, the test statistic, and the level of significance (alpha). Let's assume that the null hypothesis is that the percentage of American families owning stocks or stock funds is equal to 50%, and the alternative hypothesis is that it is not equal to 50%.

The test statistic for a hypothesis test of a proportion is given by:

z =   \(\frac{p-P}{\sqrt{\frac{P(1-P)}{n} } }\)

where p is the sample proportion (0.46), P is the hypothesized population proportion under the null hypothesis (0.5), n is the sample size (300), and sqrt denotes the square root function.

Plugging in the values, we get:

z =   \(\frac{0.46-0.5}{\sqrt{\frac{0.5*0.5}{300} } }\)    = -1.732

To find the p-value, we need to find the area under the standard normal curve to the left and right of the test statistic (since this is a two-tailed test). Using a standard normal table or calculator, we find that the area to the left of -1.732 is 0.0416, and the area to the right is also 0.0416 (since the standard normal curve is symmetric).

Therefore, the p-value for this hypothesis test is the sum of the areas in both tails:

p-value = 0.0416 + 0.0416 = 0.0832

Rounding to four decimal places, the p-value is 0.0832.

To learn more about hypothesis test here:

https://brainly.com/question/30588452

#SPJ4

Step-by-step explanation:

Greetings !

given expression

\(yz - x\)

where x=6,y=8 and z=3

Thus, follow the PEMDAS order of operation

Multiply and divide (left to right)

plug in the values in,the places of the variables and solve.

\(8.3 = 24\)

\(24 - 6\)

add and subtract (left to right)

\(24 - 6 \\ = 18\)

Hope it helps!

Answer: A. 1+8i

Step-by-step explanation:

edge

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

More can be learned about the interquartile range of a data-set at https://brainly.com/question/17083142

#SPJ1

Answer:

x+6

Hope this helps! :)

Answer:

The sum of a # and 6 is...

Step-by-step explanation:

It’s at 15??

Answer:

The answer is 49.

Step-by-step explanation:

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}

sinK=

hypotenuse

opposite

​

=

5.8

4.4

​

\sin K = \frac{4.4}{5.8}

sinK=

5.8

4.4

​

K=\sin^{-1}(\frac{4.4}{5.8})

K=sin

−1

(

5.8

4.4

​

)

K=49.343\approx 49^{\circ}

K=49.343≈49

Answer:

Step-by-step explanation:

Use ratios:

Find x by cross multiplication:

Answer:157.47722557

Step-by-step explanation:

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

The answer to the above graphing problem is that we can easily infer that the graph will initially begin to decline before quickly increasing.

A graph is a mathematical structure that joins a number of points together to represent a certain function. It establishes a pairwise link between the things. The vertices of a network, also known as its nodes, are the edges that link them (lines).

The graph's objective is to graphically portray numerical data for rapid, easy, and clear comprehension. Consequently, graphs are visual representations of data. Data can also be presented as a table, despite the fact that a graphical depiction is simpler to grasp.

Here,

If she first moves in the direction of the petrol station, the graph will be lowering.

As she fills her tank at the gas station, the graph moves upward.

As she approaches the market, the graph will eventually start to decline.

In light of the information,

We can easily deduce that the graph will start out falling, quickly climb, and then keep falling until we reach our target.

As a result, we can quickly deduce that the graph will rapidly increase after initially dropping as the answer to the given graph problem.

Learn more about Graph click here:

brainly.com/question/26865

#SPJ1

Answer:

3 (i think, for now)

Step-by-step explanation:

0.3 ÷ 0.9 = 3  

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

0    

9  3 .    

− 0    

3    

Divide 3 by 9. Write the remainder after subtracting the bottom number from the top number.

2. Put the decimal point.

3.

0 . 3  

9  3 . 0  

− 0    

3  0  

− 2  7  

3  

−      

Answer:1/3 or 0.333

Step-by-step explanation:

0.3/x=0.9(when you cross multiply you get)

9/10x=3/10, 3/10*10/9=3/9 or 1/3 or 0.333