Solve of the following equations for x: 2 − x = −3

Answer:

[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]

Step-by-step explanation:

The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:

[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]

The height of the cylinder is shown in the picture, it is equal to 16 cm.

Finally, the volume of the cylinder can be calculated as:

[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]

Where B is the base and h is the height of the cylinder.

Answer:

2.321428571%

Step-by-step explanation:

Given in the question,

P=$350

T=4years

I=$32.50

We know that

I=PTR/100

32.50=350*4*R/100

R=32.50*100/350*4

R=2.321428571%

So, the rate of interest is 2.321428571%

Answer:

i think it is E

Step-by-step explanation:

Answer:

9.40%

Step-by-step explanation:

Given:

Annual coupon rate = 11%

Time left to maturity = 11 years

Par value of bond = 1000

Present value of bond = 1153.60

Required: Find Yeild to Maturity (YTM)

To find the yield to maturity, use the formula below:

YTM = [Annual coupon+(Face value-Present value)/time to maturity]/(Face value+Present value)/2

where annual coupon = 1000 * 11% = 110

Thus,

[tex]YTM = \frac{\frac{110+(1000-1139.59}{9}}{\frac{(1000+1139.59)}{2}}[/tex]

YTM = 9.40%

Therefore the approximate YTM is 9.40%

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that

  The  Null Hypothesis  is  [tex]H_o : p = 0.45[/tex]

   The alternative hypothesis [tex]H_a : p > 0.45[/tex]

   The  level of significance is  [tex]\alpha = 0.05[/tex]

    The  p-value is  [tex]p-value = 0.025[/tex]

Now looking at the given data we see that the the p-value is less than [tex]\alpha[/tex]

Generally when this occurs in a hypothesis test we reject the null hypothesis which mean that the result which we obtain is statistically significant.

Hence the alternative hypothesis is correct, which means that,

  There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%. which is option A

Answer:

C. y-intercept: (0, -18); vertex point: ( [tex]-\frac{2}{3}[/tex], [tex]-20\frac{1}{4}[/tex]); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

Hope it helped

Answer:

C. y-intercept: (0, -18); vertex point: ( - 2/3, - 20 1/4); x-intercepts: (3, 0) and (-

6,0)

Step-by-step explanation:

It's a positive parabola, so that means it opens upward. Crossing the x-axis at -6 and 3 it's minimum is -20 and crosses the Y-axis at -18.

Answer:

The measure of each angle:

152.8°   and     27.2°

Step-by-step explanation:

Supplementary angles sum 180°

then:

a + b = 180°

a - b = 125.6°

then:

a = 180 - b

a = 125.6 + b

180 - b = 125.6 + b

180 - 125.6 = b + b

54.4 = 2b

b = 54.4/2

b = 27.2°

a = 180 - b

a = 180 - 27.2

a = 152.8°

Check:

152.8 + 27.2 = 180°

Answers:

Step-by-step explanation:

Let x and y be the measures of each angle.

x + y = 180°

x - y = 125.6°

180 - 125.6 = 54.4

Now we divide 54.4 evenly to get y.

y = 27.2°

To get x, we substitute y into the equation.

x = 27.2 + 125.6

x = 152.8°

To check, we plug these in to see if they equal 180°.

27.2 + 152.8 = 180° ✅

Answer:

it opens up

goes up 4 but doesn't move left or right

Answer: 245 cu. cm.

Step-by-step explanation:

4/7-2/5=20/35-14/35=6/35

42 cm3 represents 6/35 of the total volume

how many 6/35's are in 35/35 ? (the total volume)

(35/35)/(6/35)=(35/35)*(35/6)=35/6=5 5/6

(5 5/6)*(42)=(35/6)*(42)=35*7=245 cm3 is the total volume

Answer:

13

Step-by-step explanation:

10 + 16 = 26

26 divided by 2 = 13

The middle number is 13

Answer:

Where is the table

Step-by-step explanation:

I cant answer without it

Answer:

The standard form of the equation of y = -1/4x - 2 is x + 4y = -8 which is C

Answer:

Step-by-step explanation:

Given,

There are 8 seats in a row.

There are 8 seats in a row.4 seats are occupied.

Available seats = 8 - 4 = 4 seats

Fraction of seats available:

[tex] \frac{number \: of \: seats \: available}{total \: number \: of \: seats} [/tex]

[tex] = \frac{4}{8} [/tex]

Reduce the fraction with GCF 4

[tex] = \frac{1}{2} [/tex]

Hope this helps..

Best regards!!

Answer:

Your correct answer is that there are 4 seats available. The fraction version is 1/2

Step-by-step explanation:

Since there are 8 in a row and 4 are taken, subtract 8 by 4.

8 - 4 = 4 seats that are available.

Answer:

N(n+1) = N(n)^2 - 1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2 - 1, n>0, N(0) = 2

Step-by-step explanation:

Year 0 = 2 trees

year 1 = 2^2-1 = 3

year 2 = 3^2-1 =8

year 2 = 8^2-1 =63

...

Recursive formula

Let

n = integer year number

N(n) = number of trees to plant in year n

N(n+1) = N(n)^2-1, n>=0, N(0) = 2

or equivalently

N(n) = N(n-1)^2, n>0, N(0) = 2

Whats the options???

Answer:

Step-by-step explanation:

Substitute x = 1 and y = 1 to the both inequalities:

[tex]x-8y\leq9\\\\1-8(1)\leq9\\1-8\leq9\\-7\leq9\qquad\bold{TRUE}\\==================\\-7x+5y<4\\\\-7(1)+5(1)<4\\-7+5<4\\-2<4\qquad\bold{TRUE}[/tex]

Answer:

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4

Step-by-step explanation:

Well, first we need to plug in (1,1) into,

x - 8y ≤ 9

- 7x + 5y < 4

→ 1 - 8(1) ≤ 9

- 7(1) + 5(1) < 4

1 - 8 ≤ 9

-7 + 5 < 4

-7 ≤ 9

-2 < 4

Thus,

(1,1) does satisfy

x - 8y ≤ 9

- 7x + 5y < 4.

Hope this helps :)

Answer:

y = -4

Step-by-step explanation:

4x + 5y = -12 ....eq1

-2x + 3y = -16 ...eq2

From eq1, solve for x:

4x + 5y = -12

4x = -12 - 5y

x = -12 - 5y/4

From eq2, substitute value of x:

-2(-12-5y/4) + 3y = -16

3y - 2 (-5y-12/4) = -16

3y - 2(-5y-12)/4 = -16

12y - 2(-5y - 12) = -16

4*3y - 4*2(-5y-12)/4 = 4*(-16)

12y - 2(-5y-12) = -64

12y + 10y + 24 = -64 (divide both sides by common factor 2)

6y + 5y + 12 = -32

11y = -32 - 12

11y = -44

Divide both sides by 11

11y/11 = -44/11

y = -4

Answer:

7

Step-by-step explanation:

2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b

-3b + 3b cancells out to 0 so it leaves the final answer to 7

Answer:

[tex]\large \boxed{\sf \ \ \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }=4 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to find the following limit.

[tex]\displaystyle \lim_{x\to \ 4} \dfrac{x-4}{\sqrt{x}-\sqrt{4} }[/tex]

First of all, for any x real number different from 4 and positive, we can write

[tex]\dfrac{x-4}{\sqrt{x}-\sqrt{4}} = \dfrac{(x-4)(\sqrt{x}+\sqrt{4})} {(\sqrt{x}-\sqrt{4})(\sqrt{x}+\sqrt{4})}} ==\dfrac{(x-4)(\sqrt{x}+\sqrt{4})}{x-4}=\sqrt{x}+\sqrt{4}[/tex]

so the limit is

[tex]\sqrt{4}+\sqrt{4}=2+2=4[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

a. dilation.

Step-by-step explanation:

In this problem, the triangle has been neither reflected nor rotated. Although you could say the triangle has been translated, translation will preserve the lengths of the legs of the triangle.

Since all the angles are still congruent, we can say that the triangle has been dilated. It has been enlarged.

Hope this helps!

The dilation is a transformation that transfers the pre-image to the final image. The correct answer is A.

When a point is relocated from its original place to a new location, it is changed. Different transformations include translation, rotation, reflection, and dilation.

As per the given figure, ΔKLM is transformed into ΔK'L'M'.

Here, the triangle hasn't been reflected or rotated.

Although we cannot claim the triangle has been translated, translation maintains the lengths of the triangle's legs.

We conclude that the triangle has been dilated because all of the angles are still congruent. It has grown in size.

Therefore, dilation is a transformation that transfers the pre-image to the final image.

To learn more about the transformations click here :

https://brainly.com/question/11352944

#SPJ2

Answer:A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. Note that (−4) × (−4) = 16 too, so −4 is also a square root of 16. The symbol is √ which always means the positive square root. Example: √36 = 6 (because 6 x 6 = 36)

The correct answer is 45.5 km

Explanation:

The total distance from the locksmith to the hotel, located in the east of the graph is not directly given; however, this distance can be calculated by considering the partial distances given. This includes the distance from the locksmith to the furniture store (18.3 km), and the distance between the furniture and the hotel (27.2) as the total distance = distance from the locksmith to the furniture store + distance from the furniture store to the hotel. Thus, the total distance is 18.3 km + 27.2 km which is equal to 45.5 km.

Answer:

12

Step-by-step explanation:

let

x= no. for English

y= no. for maths

z= no. for fine arts

a= no. for all subjects

x= 22

y= 21

z= 17

x+y+z= 39

x intersect y= 11

y intersect z= 8

x intersect z= 7

(4+a)+ (11-a)+ (7-a)+ (8-a)+ (2+a)+ (2+a)+ a= 39

34+a =39

a= 5

no.of teachers who teaches all & fine art only

= a + (2+a)

= 5+7

= 12

Answer:

Step-by-step explanation:

Hello!

Out of 846 patients taking a prescription drug daily, 18 complained of flulike symptoms.

It is known that the population proportion of patients that take the drug of the competition and complain of flulike is 1.8%

Be the variable of interest:

X: number of patients that complained of flulike symptoms after taking the prescription drug, out of 846.

sample proportion p'= 18/846= 0.02

You have to test if the population proportion of patients that experienced flulike symptoms as a side effect is greater than 1.8% (p>0.018)

Assuming that the patients for the clinical trial were randomly selected.

The expected value for this  sample is np=846*0.02= 1658 (the expected value of successes is greater than 10) and the sample is less than 10% of the population, you can apply the test for the proportion:

The hypotheses are:

H₀: p ≤ 0.018

H₁: p > 0.018

α: 0.01

[tex]Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]≈N(0;1)

[tex]Z_{H_0}= \frac{0.02-0.018}{\sqrt{\frac{0.018*0.982}{846} } }= 0.437[/tex]

The p-value for this test is  0.331056

The decision rule is

If p-value ≤ α, reject the null hypothesis

If p-value > α, do not reject the null hypothesis

The p-value is greater than α, the decision is to reject the null hypothesis.

So at 1% significance level there is no significant evidence to reject the null hypothesis, you can conclude that the population proportion of patients that took the prescription drug daily and experienced flulike symptoms as a side effect is less or equal to 1.8%

I hope this helps!

Answer:

S(min) = 59,66 cm²

Step-by-step explanation:

The volume of a cylindrical can is:

V(c) = π*x²*h         where   x is radius of the base and h the height

V(c) = 50 cm³

50 =  π*x²*h      (1)

The surface area of the can (Sc) is  Surface area of the base (Sb) plus surface lateral area (Sl)

S(b) =  π*x²  

And  S(l) = 2*π*x*h

Then

S(c) =  π*x²  +  2*π*x*h

And  surface area as a function of x is

From equation (1)

h = 50 /π*x²   and plugging this value in the previous expression

S(x) =  π*x²  +  2*π*x*(50/π*x²)

S(x) =  π*x²  + 100/x

Taking derivatives on both sides of the equation

S´(x) = 2*π*x - 100/x²

S´(x) = 0     means       2*π*x - 100/x² = 0

π*x - 50/x²  = 0

π*x³ - 50  = 0

π*x³  = 50

x³ = 50 / 3,14

x³ = 15,92

x  = 2,51 cm

And  h =  50 / π* (2,51)²

h = 2,53 cm

Then minimum surface area of the can is:

S(min) = 19,78 + 39,88

S(min) = 59,66 cm²

Answer:

A

Step-by-step explanation:

That is the radius. Since its half of the diameter.

Answer:

A.  Radius of the circle

Step-by-step explanation:

A line segment that has as endpoints the center of a circle and a point on the circle is called a radius.

Answer: A.  Radius of the circle

Answer:

60 ounces

Step-by-step explanation:

A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint, that is, the white paint (w) to blue paint (b) ratio is 5:4. We can apply this ratio to different units such as ounces. This means that the mixture has 5 ounces of white paint to 4 ounces of blue paint. If a can of paint contains 75 ounces of white paint, the ounces of blue paint in the can are:

75 oz w × (4 oz b/5 oz w) = 60 oz b

Answer:

x = 25

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

That is ∠ D and ∠ B are corresponding angles and congruent, thus

4x - 20 = 2x + 30 ( subtract 2x from both sides )

2x - 20 = 30 ( add 20 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

Answer:

Step-by-step explanation:

You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.

  c + b + s = 170000 . . . . . . total invested

  0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income

  -c + b = 60000

You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...

  c = 30,000

  b = 90,000

  s = 50,000

Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.

Answer:

352.8 ft

Step-by-step explanation:

m∠A = 180° − 102.9° − 18.6° = 58.5°

AB = c and BC = a.

Use law of sines:

c / sin C = a / sin A

c / sin 18.6° = 943 / sin 58.5°

c = 352.8