solve all for brainiest

[tex]\\ \tt\hookrightarrow 12x^3+16x^2+21k+28[/tex]

[tex]\\ \tt\hookrightarrow 4x^2(3x+4)+7(3k+4)[/tex]

[tex]\\ \tt\hookrightarrow (4x^2+7)(3x+4)(3k+4)[/tex]

Done

Answer:

There are 154,440 ways.

Step-by-step explanation:

The word arrange means that the order in which the books are placed is important, which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

5 books from a set of 13. So

[tex]P_{(13,5)} = \frac{13!}{(13-5)!} = 154440[/tex]

There are 154,440 ways.

Answer:

g(x)=-(x+2)(x-1)

g(x)=6-3x-3x^2

Step-by-step explanation:

Use desmos to graph each function and then just see which ones are equal to zero when x=-2 and x=1

Answer:

Solution given:

cscθ -cscθcos²θ

taking common

cscθ(1-cos²θ)

we have

1-cos²θ=sin²θ and cscθ=1/sinθ

now

1/sinθ*sin²θ

=sinθ

so

D)

sin θ is a required answer.

Answer:

x  =  0,41 m    or    x  =  41 cm

r  =  2,18 m

Step-by-step explanation:

Window which allow most light is that with maximum area

The perimeter of the window is the perimeter of the semicircle  (psc ) plus the perimeter of the three sides of the rectangle, sides of the rectangle are  2*x  and 2*r  then:

pt  =  12  =  psc  + pr

psc = π*r       pr  =  2*x  + 2*r

pt  =  π*r  + 2*x  + 2*r      

pt  =  12  = π*r  + 2*x  + 2*r  (1)

The area of the window is:

A(w)  = area of the semicircle  ( π*r²/2 )  +  area of the rectangle (x*2*r)

A(w) =  ( π*r²/2 )   +  2*x*r

Using (1)  we get:   12  =  r* ( π + 2 ) + 2*x

r  =  ( 12 - 2*x ) / ( π + 2 )

Plugging that value in A(w) we find total area A(w) as a function of x

A(x)  =   π* [  (12 - 2*x ) / ( π + 2 )]²/ 2  +  2*x*( 12 - 2*x ) / ( π + 2 )

A(x)  =   π* [ 144 + 4*x² - 48*x/ ( π + 2 )² +  24*x  + 4*x²/  ( π + 2 )

A(x)  =  [  π*/  ( π + 2 )² ] * (144 + 4*x² - 48*x ) +  24*x  + 4*x²/  ( π + 2 )

Tacking derivatives on both sides of the equation:

A´(x)  =  [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 )

A´(x)  = 0       [  π*/  ( π + 2 )² ]* 8*x - 48  + (  24 + 8*x )/ ( π + 2 ) = 0

π* (8*x - 48) /  ( π + 2 )    +  24  +  8*x  =  0

8*π*x  - 48*π  + ( 24  +  8*x ) *( π + 2 ) = 0

8*π*x  - 48*π  + 24*π  +  48  + 8*π*x + 16*x = 0

16*π*x  - 24*π + 16*x  + 48  = 0

x ( 16*π + 16 ) - 24*π + 48  = 0

66,24 * x   =  75,36 - 48

x  =  27,36 / 66,24 m

x  =  0,41 m    or    x  =  41 cm

r  =  ( 12 - 2*x ) / ( π + 2 )

r  =  12 - 2* 0,41 / 3,14 + 2

r  =  11,18 / 5,14

r  =  2,18 m

Answer:

[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]

[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]

[tex] \large{ \tt{ ↦ AREA\: OF \: SMALL \: RECTANGLE= L \times W = 14 \times 12 = \boxed{ \tt{168 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{↦AREA \: OF \: BIG \: RECTANGLE = L \times W = 20 \times 19 = \boxed{ \tt{380 \: {ft}^{2} }}}}[/tex]

[tex] \large{ \tt{☄ \:TOTAL \: AREA = AREA \: OF \: SMALL \: RECTANGLE + AREA \: OF \: BIG \: RECTANGLE}}[/tex]

[tex] \large{ \tt{⇢168 \: {ft}^{2} + 380 \: {ft}^{2} }}[/tex]

[tex]⇢ \boxed {\boxed{ \large{ \tt{548 \: {ft}^{2} }}}}[/tex]

♡Hope I helped! ツ

☼Have a wonderful day / evening !☃

# StayInAndExplore !☂

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

C) It is often difficult to solve complicated problems with tables alone.

Step-by-step explanation:

Tables can be regarded mathematical tools used in representation of data in very organised form. The arrangements is in form of rows and columns which often gives description of an array of data in table format. Tables are best use in solving simple problems. Tables helps to show results for calculation that has varying arguments. It should be noted that the disadvantage to using tables is that It is often difficult to solve complicated problems with tables alone.

Answer:

lb of apples for $1.98

Answer:

-8

Step-by-step explanation:

-3x + 7x - 8 = 34 + 9x - 2

-3x + 7x - 9x = 34 - 2 + 8

-5x = 40|: (-5)

x = -8

[tex]{ \bf{ \underbrace{ The\:value\:of\:x\:is\:-8.}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ 4x - 9x = 32 + 8 \\ ⇢  - 5x = 40 \\ ⇢ x = \frac{40}{ - 5} \\ ⇢ x = - 8[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] - 3x + 7x - 8 = 34 + 9x - 2 \\ ⇢ - 3 \times - 8 + 7 \times - 8 - 8 = 34 + 9 \times - 8 - 2 \\ ⇢24 - 56 - 8 = 34 - 72 - 2 \\ ⇢24 - 64 = 34 - 74 \\ ⇢ - 40 = - 40 \\ ⇢L.H.S.=R. H. S[/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

-0.7

Step-by-step explanation:

just solve it.....

Answer:

±3/5

Step-by-step explanation:

±sqrt(9/25)

We can separate this into

± sqrt(9) / sqrt(25)

Since these are perfect squares

±3/5

Answer: rewrite it in the form y=mx+b

Step-by-step explanation:

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula, a² - b² =(a+b)(a−b)  where a=x and  b=3.

(x+3)(x-3)(x+1)(x-1)

Answer:

It is a Cuboid

Area of the base = 12x9

Area of the top = 12x9

Area of the right lateral faces = 9x7

Area of the left lateral faces = 9x7

Area of the front face = 12x7

Area of the rear face = 12x7

Total surface area is the sum of above (please do it yourself)

The volume = base surface Area x height

= 12x9x7 = 756

Be reminded to put in the right unit for Area and volumn

Answer:

its a prism

Step-by-step explanation:

to find area of all the sides, you multiply the bottom and top measurements.

12 x 7 is 84cm[tex]^{2}[/tex]

12 x 9 is 108[tex]cm^{2}[/tex]

9 x 7 is 63[tex]cm^{2}[/tex]

for surface area, add the area of all the faces

63x2+108x2+84X2=510

volume is length x width x hight

12 x 9 x 7 = 756 [tex]cm^{3}[/tex]

Answer:

[tex]\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0[/tex]

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

[tex]\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},[/tex]

[tex]\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}[/tex]

Answer:

Gary spends a total of $166.05

Step-by-step explanation:

15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax

8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8

Then we add $20.25+$10.8+$135= $166.05

Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.

Answer:

56 but i could be wrong

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The top and bottom edges are parallel, and the shape has 4 sides. That means it is a trapezoid. The area can be found using the formula for the area of a trapezoid:

  A = 1/2(b1 +b2)h

  A = 1/2(85 mm + 218 mm)(322 mm) = 1/2(303)(322) mm² = 48783 mm²

Answer:Hence.the answer is 14.

Step-by-step explanation:

Got it right on my test

Answer:

its 4 or B for the value of X

Answer:

I think n=4 hope this helps :)

Step-by-step explanation:

Answer:

N = 4

Step-by-step explanation:

Answer:

D. merit pay

An increase in pay because of how well you do a job is called merit pay.

Explanation:

Merit pay refers to performance-related pay which provides bonuses or base pay increases for employees who hit the target or perform their jobs effectively, according to measurable criteria over a predetermined period of time.

Answer: 16^2 + 12^2

Step-by-step explanation:

20^2 = 400

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400

Answer:

[tex]y=\frac{3}{4}x^2[/tex]

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

[tex]y=a(x-h)^2+k[/tex] where the vertex is [tex](h,k)[/tex]

Plug in the vertex (0,0)

[tex]y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2[/tex]

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

[tex]3=a(-2)^2\\3=4a\\\frac{3}{4} =a[/tex]

Therefore, the value of a is [tex]\frac{3}{4}[/tex]. Plug this back into [tex]y=ax^2[/tex]:

[tex]y=\frac{3}{4}x^2[/tex]

I hope this helps!

Answer:

Area = 52.81 square inches

Step-by-step explanation:

[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]

Answer:

.321428571

Step-by-step explanation:

P(blue shirt | girl)

This means what is the probability of a blue shirt given that we have a girl

There are 56 girls and 18 girls wearing blue shirts

P(blue shirt | girl) = girls in blue shirts / girls

                            = 18/56

                               =.321428571

Answer:

It would be 180 - 45

Step-by-step explanation:

This is because angles on a straight line add to 180,

So to find the missing angle, you would have to take 45 from 180.

Answer:

I think it's a square or maybe a rhombus?

Step-by-step explanation:

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM