Find the value of x and y in the diagram below.

Final answer:

To find the volume of the cylinder with a given radius of 10 units and height of 13 units, we use the formula V = πr²h, which yields an approximate volume of 4085.48 cubic units using π as 3.1416. The nearest given option is C (1300 cubic units), although the calculated volume does not exactly match any of the provided choices.

Explanation:

To calculate the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder. Given the radius r as 10 units and the height x (which likely represents the height h in this context) as 13 units, we plug these values into the formula:

V = π(10²)(13) = π(100)(13) = 1300π cubic units.

Since π is approximately 3.1416, the volume is approximately:

V ≈ 1300(3.1416) ≈ 4085.48 cubic units.

As none of the multiple-choice options provided exactly match this calculated volume, this could indicate a typo or error in the question or options. However, if we use a rounded value of π as 3.14, then:

V ≈ 1300(3.14) ≈ 4082 cubic units.

The closest match to this calculated volume is option C (1300 cubic units). However, the student should verify the precision of π used in their classroom or the context of the question to ensure this match is consistent with their requirements.

Answer:

D) 69.1 ft

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

.049 (2sf)

Step-by-step explanation:

[tex] \frac{2}{9} \times \frac{2}{9} = 0.4938[/tex]

Answer & explanation:

The correct answer is 4/81. The probability of each marble drawn being brown is 2/9 because there are two brown marbles in a bag of nine total marbles. So, the probability that both marbles drawn will be brown is 2/9 times 2/9 or 4/81!

Answer:

1.Robert borrowed  $ 5,500.00  

2.The amount Robert would repay next year is $ 11,576.69  

3.The interest rate on the loan is 7%

Step-by-step explanation:

The interest on the loan can be computed using compound annual growth

rate

CAGR=(EB/BB)^1/n-1

EB is ending balance of $8831.80 in year7

BB is the balance of year 5  $7714.03

n=7-5=2

CAGR=(8831.8/7714.03)^(1/2)-1

CAGR==1.070000427-1

CAGR=0.070000427

CAGR=7%

The amount borrowed can be computed using the PV formula

At year 0 year 5 amount of $7714.03 is the future value

rate of interest is 7%

number of years is 5

PV=$7714.03*(1+7%)^-5

PV=$ 5,500.00  

The amount Robert would pay next year is :

FV=$10,819.338(1+7%)^1

FV=$ 11,576.69  

Answer:

A) 207 cm3

Step-by-step explanation:

9 x 23 = 207

Answer:

u have the answer tho right

Step-by-step explanation:

In mathematical terms, a whole pie is considered as 1 (or 1/1). If half (1/2) of it is eaten, what remains is the other half (1/2). So, the fraction that remains of the pie is 1/2.

When we talk about a pie in mathematics, we usually refer to it as a whole. If you've eaten half of the pie, essentially, you've consumed 1/2 of the pie. If that amount is subtracted from the whole pie (which is always considered as 1 or 1/1), what remains is the other half of the pie. Meaning, if you subtract 1/2 from 1 (or 1/1), you're left with 1/2 of the pie. Hence, if half of the pie is eaten, the fraction that remains is 1/2.

https://brainly.com/question/33564650

#SPJ3

Answer:

See the explaination

Step-by-step explanation:

Total No. of rolling each side of the 12-sided die= 12 x 12= 144 outcomes

No. of outcomes equals 10 are: (1, 9), (9, 1), (2, 8), (8, 2), (3, 7), (7, 3), (4, 6), (6, 4), (5, 5) = 9 outcomes.

No. of outcomes of rolling a No. >10: 144–9 = 135 outcomes.

Probability, Pr, of rolling a No. >10= 135/144

Pr (No. >10) = 0.9375 (to 4 dec. pl.)

Answer: I think you’re missing something on your question. But I think what your asking is how many numbers greater than 10. It should 2/12 or

Step-by-step explanation:

Answer:

B. 87

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 98%) / 200 = 0.01

critical z factor for two sided alpha of .01 is calculated as follows:

critical z factor = z factor for (1 - .01) = z factor for (.99) which through the attached graph becomes:

critical z factor = 2.33

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 75, sd is the standard deviation which is 300 and the value of z is 2.33

N the sample size and we want to know it, replacing:

75 = 2.33 * (300 / (N) ^ (1/2))

solving for N we have:

N = (2.33 * 300/75) ^ 2

N = 86.86

Which means that the sample size was 87.

1. baseball + basketball = 240

2. tennisball + soccerball = 500

3. soccerball - basketball + tennisball = 455

4. baseball + tennisball = 215

Subtract 1 from 4

5. tennisball - basketball = -25

Rearrange 3

6. soccerball + tennisball - basketball = 455

Substitute 5 into 6

7. soccerball - 25 = 455

Solve

soccerball = 480

Answer:

4 chapters an hour

Step-by-step explanation:

24 / 6 = average of 4 chapters an hour

Answer:

4 chapters per hour

Step-by-step explanation:

[tex]rate \: of \: reading \\ = \frac{total \: chapters}{total \: time} \\ \\ = \frac{24}{6} \\ \\ = 4 \: chapters \: per \: hour[/tex]

Answer:

70 adults

Step-by-step explanation:

because there is 70 adults and 50 kids

Answer:

N78

Step-by-step explanation:

The explanation is in the picture

please rate and mark as brainliest

Answer:

(2x + 3)(x + 5)

Step-by-step explanation:

2x² + 3x + 15 = 0

(2x + 3)(x + 5)

2x + 3 = 0

2x = -3

x = -3/2

x + 5 = 0

x = -5

Answer:

Dimension of the Rectangle : 2W - 150 by W

Step-by-step explanation:

Given

Land Size = 150 metres

This land size represents the perimeter of the land

Let P = Perimeter

So, P = 150 m

To bisect the field into two equal halves means to divide length or width of the field into two equal halves

Let L = Length of the field

Let W = Width of the field

Assuming the length of the field is to be bisected., then the campground owner is left with 0.5L (i,e half of the length)

Perimeter of a rectangle is calculated by: 2(Length + Width)

P = 2(L + W) by substitution, becomes

150 = 2(0.5L + W) ----open bracket

150 = L + 2W ---- Male L the subject the formula

L = 2W - 150

The dimension of the largest area that can be enclosed id given by (L,W)

By substitution; the expression becomes

Dimension of the Rectangle : 2W - 150 by W

Answer:

a) reject H0

Step-by-step explanation:

The null and alternative hypotheses:

H0: the relative risk for moderate beer drinkers as compared to nondrinkers = 1

Ha: the relative risk for moderate beer drinkers as compared to nondrinkers ≠ 1

The level of significance, α = 0.1

Since the confidence interval for the relative risk of hypertension in moderate beer drinkers as compared to nondrinkers (0.47 to 0.90) does not contain the relative risk of 1,  the null hypothesis will be rejected at the specified level of significance, 0.1. Therefore, the conclusion is to reject H0.

Answer:

x = -16

Step-by-step explanation:

x + 7 = -9

x = -9 - 7

x = -16

Answer:

X=-16

Step-by-step explanation:

If you add -16 Then add a positive 7 you will end up with a -9

Have a great day

Answer:

6

Step-by-step explanation:

you have to multiply it by joe mama

Answer:

when x=1, y=6. etc.

Step-by-step explanation:

x       y

1       6

2      7

3      8

4      9

Answer:

16950

Step-by-step explanation:

Answer:

16950

PLEASE MARK BRAINLIEST IT TOOK A LING TIME TO FIGURE OUT!! THANK YOU!!

Answer:

x = 6

Well if there's one value of x that fits both of them your first step is to set them equal to each other.

26 - 2x = 3x - 4

Now lets solve it

      26 - 2x = 3x - 4

            +2x  +2x

              26 = 5x - 4

              +4          +4

              30 = 5x

           30/5 = 5x/5

                 6 = x

Answer:

The answer is 9 hours

Step-by-step explanation:

From the initial population of 180 cells, the number grows by 8% every hour for the first 9 hours.

This represents a increased population of 108% the previous population.

108% = 108/100 = 1.08

So the new population after n hours is

180 x 1.08^n

When population is 360

360 = 180 x 1.08^n

1.08^n = 2

Take log of both sides

n x Log1.08 = Log 2

n = Log 2/Log 1.08

n = 9

Answer:

y = five-thirds x

Step-by-step explanation:

y = mx + b       y intercept = 0

y = 5/3 x    slope = 5/3

Answer:

The answer is A

Step-by-step explanation:

its easy pls like

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

                                                         =(15-2x)(10-2x)x cubic inches

                                                         =(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

Apply quadratic formula [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], here a=12, b= -100 and c=15

[tex]x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}[/tex]

[tex]\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}[/tex]

[tex]\Rightarrow x=0.1528,8.18[/tex]

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

Now, [tex]V''|_{x=0.1528}=24(0.1528)-100<0[/tex]

∴At x=0.1528 inch, the volume of the metal box will be maximum.

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box  has largest volume.

Step-by-step explanation:

This is a cube

Formula surface area of a cube = s2 × 6

Where s is one side

Square of 8 = 64

64 × 6 = 384

Answer: (3)/(4)(3x+8), x^(2)-4, 3^(2+)x, -5(x-3)

Step-by-step explanation: Those are the right answers, trust me, this took a while.

Have a good day, brainliest wouldn't be bad :)

Answer:

a) 2

b) s₁    and   s₂

c)  First linear equation:     5*x₁  +  8*x₂ + 10*x₃ + s₁  = 173

   Second linear equation:   5*x₁  + 4*x₂  + 17*x₃  + s₂  = 254

Step-by-step explanation:

The problem statement, establishes two constraints, each one of them will need a slack variable to become a linear equation, so the answer for question

a) 2.

b)  The constraints are: s₁  and  s₂

c) First constraint

5*x₁  +  8*x₂ + 10*x₃ ≤ 173

We add slack variable  s₁   and the inequality becomes

5*x₁  +  8*x₂ + 10*x₃ + s₁  = 173

The second constraint is:

5*x₁  + 4*x₂  + 17*x₃ ≤ 254

We add slack variable  s₂   and the inequality becomes

5*x₁  + 4*x₂  + 17*x₃  + s₂  = 254

Answer:

A. Two slack variables are needed

B. S1 and s2 (option b)

C. Option d (5X1 + 8X2 + 10X3 + s1 = 173)

D. Option a (5X1 + 4X2 + 17X3 + s2 = 245)

E. Z is maximized at 173 when (X1, X2, X3) = (34.6, 0, 0)

Step-by-step explanation:

In a linear maximization problem like this, if we want to convert the inequality (constraint) into a linear equation, we add slack variables to the left hand side of each inequality.

Therefore we add s1 and s2 to the first and second inequality respectively.

[tex]5X1 + 8X2 + 10X3 \leq 173\\5X1 + 4X2 + 17X3 \leq 245[/tex]

Imputing the slack variables, we obtain as follows:

[tex]5X1 + 8X2 + 10X3 + s1 = 173\\5X1 + 4X2 + 17X3 + s2 = 245[/tex]

[tex]Maximize :\\Z = 5X1 + 3X2 + X3[/tex]

Subject to

[tex]5X1 + 8X2 + 10X3 \leq 173\\5X1 + 4X2 + 17X3 \leq 245\\With \\X1 \geq 0\\X2 \geq 0\\X3 > 0[/tex]

Solution :

[tex]5X1 + 8X2 + 10X3 + s1 = 173\\5X1 + 4X2 + 17X3 + s2 = 245\\-5X1 - 3X2 - X3 + Z = 0[/tex]

5X1 on the first equation is the pivot because the negative value of -5 is the highest and 173/5 is less than 245/5

We perform eq1 - eq2 on the first row and eq1 + eq3 on the third row to get X1 and clear the rest.

We

X1 = 173/5 = 34.6

X2 = 0 (inactive)

X3 = 0 (inactive)

s1 = 0 , s2 = -72/-1 = 72,

Z = 173/1 =173

Therefore the minimum value of Z is 173 when (X1, X2, X3) = (34.6, 0, 0)

Answer:

f(-9)= 243

Step-by-step explanation:

f(x) = 4x²+7x -18

f(-9) = 4(-9)²+7(-9)-18

= 4(81) -63-18

= 324- 81

= 243

Answer:279

Step-by-step explanation:

Bc

Answer:

B

Step-by-step explanation:

Answer:

(x+3)(2x+7)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (2x2 +  13x) +  21

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  2x2+13x+21

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +13x  its coefficient is  13 .

The last term, "the constant", is  +21

Step-1 : Multiply the coefficient of the first term by the constant   2 • 21 = 42

Step-2 : Find two factors of  42  whose sum equals the coefficient of the middle term, which is   13 .

      -42     +     -1     =     -43  

      -21     +     -2     =     -23  

      -14     +     -3     =     -17  

      -7     +     -6     =     -13  

      -6     +     -7     =     -13  

      -3     +     -14     =     -17  

      -2     +     -21     =     -23  

      -1     +     -42     =     -43  

      1     +     42     =     43  

      2     +     21     =     23  

      3     +     14     =     17  

      6     +     7     =     13     That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  6  and  7

                    2x2 + 6x + 7x + 21

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (x+3)

             Add up the last 2 terms, pulling out common factors :

                   7 • (x+3)

Step-5 : Add up the four terms of step 4 :

                   (2x+7)  •  (x+3)

            Which is the desired factorization

Final result :

 (x + 3) • (2x + 7)

- If you want this explained differently please let me know. Hope this helps!