What is the simplest form of this expression? (x + 7)(3x − 8) A. 3x2 + 2x − 15 B. 3x2 + 29x − 1 C. 3x2 − 29x − 56 D. 3x2 + 13x – 56

Answer: 2398.72

Step-by-step explanation:

Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72

Hope it helps <3

Answer:

$2398.72( I cannot use your dollar sign).

Step-by-step explanation:

If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!

This can be factored into the product of two binomials.

We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.

The first term in each binomial will be a factor of the p² term.

Since p² breaks down into p · p, we use a p

as the first position in each binomial.

The second term in each binomial will be the factors of

our constant term that add to the coefficient of the middle term.

These factors are +16 and +2.

So our answer is (p + 16)(p + 2).

Check out the image provided.

I have showed the different pairs of factors of 32.

However, only +16 and +2 add to the coefficient of the middle term.

Answer:

The coordinates seem to be A(-2, -4), B(3, 4) and C (3, -4). The rule (2x, 2y) means that you multiply the coordinates of the points by 2 so you just have to plot the points A'(-4, -8), B'(6, 8), C'(6, -8) and then connect them.

Answer:

Step-by-step explanation:

To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.

From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°

65+55+∠EBD  = 180

∠EBD  = 180-120

∠EBD  = 60

Also ∠DBC = 90- ∠EBD

∠DBC = 90- 60

∠DBC = 30°

Applying sine rule on ΔBCD;

52/sin∠DBC = DB/sin115

52/sin30 = DB/sin115

DB = 52sin115/sin30

DB = 52sin115/0.5

DB = 104sin115

DB = 114.75 m

Also applying sine rule on ΔBED to get side BE;

BE/sin55 = 114.75/sin65

BEsin65 = 114.75sin55

BE =  114.75sin55/sin65

BE = 93.998/0.906

BE = 103.75m

Finally, applying the trigonometry identity SOH on  ΔABE

sinΔEAB = opp/hyp

sin70° = BE/AE

Since AE = x;

sin70° = 103.75/x

x = 103.75/sin70°

x = 110.41m

Hence, the value of x missing is approximately 110.41m

Answer:

The P-value you would use to test the claim that the population mean of  pencils produced in that factory have a mean length equal to 18.0 cm is 0.00736.

Step-by-step explanation:

We are given that a quality control specialist at a pencil manufacturer pulls a random sample of 45 pencils from the assembly line.

The pencils have a mean length of  17.9 cm. Given that the population standard deviation is 0.25 cm.

Let [tex]\mu[/tex] = population mean length of  pencils produced in that factory.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 18.0 cm     {means that the population mean of  pencils produced in that factory have a mean length equal to 18.0 cm}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu\neq[/tex] 18.0 cm     {means that the population mean of  pencils produced in that factory have a mean length different from 18.0 cm}

The test statistics that will be used here is One-sample z-test statistics because we know about the population standard deviation;

                           T.S.  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean length of pencils = 17.9 cm

           [tex]\sigma[/tex] = population standard deviation = 0.25 cm

           n = sample of pencils = 45

So, the test statistics =  [tex]\frac{17.9-18.0}{\frac{0.25}{\sqrt{45} } }[/tex]  

                                    =  -2.68

The value of z-test statistics is -2.68.

Now, the P-value of the test statistics is given by;

         P-value = P(Z < -2.68) = 1 - P(Z [tex]\leq[/tex] 2.68)

                      = 1- 0.99632 = 0.00368

For the two-tailed test, the P-value is calculated as = 2 [tex]\times[/tex] 0.00368 = 0.00736.

Answer: height = 1.16 ft

Step-by-step explanation:

14 inches = 1.17 feet

Height of the oven =

Height = volume / lw

H = 1.59 / 1.17*1.17

H = 1.16 feet

Answer:

a. 3.25 m

b.1.2 ft

Solution,

a. Let 'h' be the height of cylinder

Given,

Radius(r)=0.7 m

Volume(v)=5 m^3

Formula to find volume of cylinder

[tex]\pi {r}^{2} h[/tex]

where r= radius and h= height

so,

[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]

b.

[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]

hope this helps...

Good luck on your assignment...

Answer:

the solution to the inequality -2.4(x-6)>52.8 is A

The given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given inequality is:-

We will put the value of endpoints in the graph first and put the value of x = -16

-2.4  (  x  -  6   )   >  52.8

-2.4  (  -16  -  6 )  >  52.8

-2.4  (  -22  )    >   52.8

52.8   =  52.8

Now put the value of x =-18

-2.4(  -18  -  6 )  >  52.8

-2.4( -24 )  >  52.8

57.6   >    52.8

Therefore the given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.

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Answer:

36°

Step-by-step explanation:

Let m∠8 = x°

Therefore, m∠7 = 4x°

Since, ∠7 and ∠8 are linear angles.

Therefore,

m∠7 + m∠8= 180°

4x° + x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

x = 36

Hence,

m∠8 = 36°

Answer:

200=4hrs=10 of the machines

200=4hrs

300=xhrs

Cross multiply

200×xhrs = 300×4hrs

X=1200/200

X= 6 hours

Answer:

195 students voted for the blue and silver color combination.

Step-by-step explanation:

First, you have to convert 65% to a decimal ( You should get 0.65 ).

Next, you multiply 300 by the decimal ( 0.65 )

You should get 195, so that's how many people voted for the blue and silver color combination.

Answer:

195

Step-by-step explanation:

Answer:

the initial temperature is 22.5 atm

Step-by-step explanation:

The law describing pressure-temperature relationship is the Gay-Lussac's Law.

The Mathematical Form of which is:

=> [tex]\frac{P1}{T1} = \frac{P2}{T2}[/tex]

Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K

=> [tex]\frac{P1}{600} = \frac{30}{800}[/tex]

=> P1 = 0.0375 * 600

=> P1 = 22.5 atm

So, the initial temperature is 22.5 atm

Answer:

Step-by-step explanation:

x = dozen = 12

12x + 6 = 12•12 + 6 = 144 + 6 = 150

Answer:

B. 5

Step-by-step explanation:

[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]

Answer:

25 Students attended and 50 teachers and their family members attended

Step-by-step explanation:

50x30=1500

25x12=300

1500+300=1800

Hope this helped :)

The number of students attended the fun fair is 25 Students.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

It is given that During a college fun-fair, the entrance fee for students was $12 and for teachers (and their family members) it was $30.

Also, 75 people came to attend that event and a total of $1800 was gathered.

50 x 30 = 1500

25 x 12 = 300

1500 + 300 = 1800

So, The number of students attended the fun fair is 25 Students.

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Answer:

4x+11 = 39

x = 7

Step-by-step explanation:

4 times a number

4x

Eleven more than

4x+11

is means equals

4x+11 = 39

Subtract 11 from each side

4x+11-11 = 39-11

4x = 28

Divide each side by 4

4x/4 = 28/4

x=7

Answer:  NO. He had an increase of 25%

Step-by-step explanation:

To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.

[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]

Convert the decimal into percentage by moving the decimal point two places to the right.  0.25 = 25%

Evan spent 25% more time this week than last week.

It can also be stated that this week Evan did 125% of homework compared to last week.

If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.

Answer:

1/3, 3/5, 5/6

Step-by-step explanation:

There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.

3/5= .6

5/6= .83333

1/3= .333333

In this form it is much easier to put them from least to greatest.

1/3, 3/5, 5/6,

The result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6

The subtraction of the polynomials is given as:

(6x2 – X + 8) – (x2 + 2) =

Rewrite the above expression properly as:

(6x^2 – x + 8) – (x^2 + 2) =

The next step is to open the brackets.

Start by opening the first bracket (here the signs remain the same)

6x^2 – x + 8 – (x^2 + 2) =

Next, we open the second bracket (here the sign changes, because of the minus outside the bracket)

So, we have;

6x^2 – x + 8 – x^2 - 2 =

Next, we collect the like terms

6x^2 – x^2 – x + 8  - 2 =

Subtract x^2 from 6x^2

5x^2 – x + 8  - 2 =

Subtract 2 from 8

5x^2 – x + 6

Hence, the result of subtracting the polynomials (6x2 – X + 8) – (x2 + 2) is 5x^2 – x + 6

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Answer:

(1.4), because both lines pass through this point

Step-by-step explanation:

Answer:

715

Step-by-step explanation:

The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and  multiplication by a conversion factor.

We have:

A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

1/2 liters = 0.5 liters

We know,

1 lter = 1000 ml

0.5 liters = 0.5×1000 = 500 ml

Total water = 215 ml + 500 ml = 715 ml

Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.

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Answer:

6n(n³ - 4n² + 3)

Step-by-step explanation:

Given

6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term

= 6n(n³ - 4n² + 3) ← which may be factored further if required

6n(n³ - 4n² + 3)  is the factored form.

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given that,

⇒6n⁴ - 24n³ + 18n

factor out 6n from each term

⇒6n(n³ - 4n² + 3)

There are two factors 6n and (n³ - 4n² + 3) of given expression.

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Answer:  137.25π ≈ 431.18 cm³

Step-by-step explanation:

Entire Cone - Tip of Cone = Frustrum

[tex]V_{cone}=\dfrac{1}{3}\pi r^2h\\\\\\V_{Entire}=\dfrac{1}{3}\pi (6)^2(12)\quad =\quad 144\pi\\\\V_{Tip}=\dfrac{1}{3}\pi \bigg(\dfrac{6}{4}\bigg)^2\bigg(\dfrac{12}{4}\bigg)\quad =\quad \dfrac{27}{4}\pi\\\\\\\\V_{Frustrum}=V_{Entire}-V_{Tip}\\\\.\qquad \qquad =144\pi-\dfrac{27}{4}\pi\\\\.\qquad \qquad =\dfrac{549}{4}\pi\\\\.\qquad \qquad =137.25\pi\\\\.\qquad \qquad=\large\boxed{431.18}[/tex]

Answer: 137.25π ≈ 431.18 cm³

Step-by-step explanation:

Entire Cone - Tip of Cone = Frustrum

Answer:

a)(140,57)

b)positive correlation

c)155cm (Give or take)

Step-by-step explanation:

a) find the outlier which doesn't follow the pattern as the rest

find the coordinates.(140,57)

b)all of the results follow a positive pattern when weight increases so does the height.

c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.

hope this helps

The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm

This is the point that is far from other points in the scatter plot.

From the given graph, the point (140,57) is far from others.

Hence, the outlier point is (140,57)

From the graph, we can see that the points increase towards the right.

This represents a positive correlation

Hence, the correlation type is a positive correlation

The weight is given as:

Weight = 45 kg

From the graph, the closest points to y = 45 are

x = 148, 153, 156 and 158

The mean of these values is 154.

Hence, the estimated height of the student is 154 cm

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Answer:

I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.

Step-by-step explanation:

It just seems the most plausible. I am also taking the Quiz right now.

Answer:

Its A

Step-by-step explanation:

The Triangle is 2x bigger

Got it right on edg

Answer:

a.) 7/20

b.) 0.375

c.) 1/15

Step-by-step explanation:

a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.

Simplify that down by dividing both top-bottom by 5 and you get 7/20

b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.

c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m

Find the fraction: 4/60

Simplify by dividing top-bottom by 4 and you get 1/15

Answer:

The correct answer is 260

Step-by-step explanation:

Also known as B

Answer:

260 so Answer B

Step-by-step explanation:

Answer:

2.24/0.16

736.434 × 0.019011

Step-by-step explanation:

The above questions have a solution of 14.

Answer: 15π m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

where,

r = radius = 3 meters

h = height = 5 meters

Volume = 1/3πr²h

Volume = 1/3 × π × 3² × 5

Volume = 1/3 × π × 9 × 5

Volume = 1/3 × π × 45

Volume = 45π/3

Volume = 15π m³

Answer:

54

Step-by-step explanation:

x=6

3*3=9*6=54

Answer:

5832

Step-by-step explanation:

Note:

(x^a)^b = X^(ab)

Cube both sides of the equation to obtain the answer.

[tex]3^{x} = 18\\(3^{x} )^{3} =18^{3} \\3^{3x} =5832[/tex]