What is the measure, in degrees, of angle b?

Answer:

1) 2/1

2) 13/1

Step-by-step explanation:

9514 1404 393

Answer:

  xy ≈ 2.3

Step-by-step explanation:

Logarithms can be used to find x and y.

  3^x = 4

  x·log(3) = log(4)

  x = log(4)/log(3)

__

 4^y = 12

  y = log(12)/log(4)

__

Then xy is ...

  xy = log(4)/log(3) × log(12)/log(4) = log(12)/log(3)

  xy ≈ 1.079/0.477

  xy ≈ 2.26

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

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.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that [tex]\mu = 1200, \sigma = 900[/tex]

Sample of 10.

This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.

Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.

So here the mean should be $1,200

And, the standard deviation should be

[tex]= 900 \div \sqrt10[/tex]

= $284.6

learn more about mean here: https://brainly.com/question/9588526

Answer:

A) A(t)  =  4500*π  -  1600*t

B) A(4)  =  7730 in³

C) t  =  8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max  =  30   r max  =  15 in

V(s) =  (4/3)*π*r³      V(s)  =   (4/3)*π* (15)³

V(s) = 4500*π

A)  Amount of air needed to fill the ball A(t)

A(t)  = Total max. volume of the sphere - rate of flux of air * time

A(t)  =  4500*π  -  1600*t    in³

B) After 4 minutes

A(4)  =  4500*π  - 6400

A(4)  =  14130 - 6400

A(4)  =  7730 in³

C)  A(t)  =  4500*π  -  1600*t  

when  A(t) = 0   the ball got its maximum volume then:

4500*π -  1600*t  =  0

t  =   14130/1600

t  =  8,8 sec

Answer:

Option C.

Step-by-step explanation:

If we have two functions:

f(x) and g(x)

the product is given by:

(f*g)(x) = f(x)*g(x)

So, if here we have

f(x) = √(3*x)

g(x) = √(48*x)

And remembering that the square root is distributive, so:

√a*√b = √(a*b)

We can write:

(f*g)(x) = f(x)*g(x) = √(3*x)*√(48*x) = √(3*x*48*x)

          = √(3*48*x*x) = √(144*x^2) = √(144)*√(x^2)

And here we can use that:

12*12 = 144, then √144 = 12

and

x*x = x^2, then √x^2 = x

So:

√(144)*√(x^2) = 12*x

Then the correct option is C.

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

(k+1)(x2)−8kx+3k+5

Distribute:

=(k)(x2)+(1)(x2)+−8kx+3k+5

=kx2+x2+−8kx+3k+5

Answer:

=kx2−8kx+x2+3k+5

Answer:

Step-by-step explanation:3/5 of the pizza

Answer:

79

Step-by-step explanation:

Answer:

edge 2021

Step-by-step explanation:

The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.

Answer:

[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]

Step-by-step explanation:

Given

[tex]180\ lb 12\ oz - 79.3kg[/tex]

Required

Solve

First, convert 180lb to kg

[tex]1lb \to 0.454kg[/tex]

[tex]180lb \to 180 *0.454kg[/tex]

[tex]180lb \to 81.7kg[/tex] -- to 1dp

Next, convert 12oz to kg

[tex]1oz \to 0.03kg[/tex]

[tex]12oz \to 12 * 0.03kg[/tex]

[tex]12oz \to 0.4kg[/tex] --- to 1 dp

So, the expression becomes:

[tex]180\ lb 12\ oz - 79.3kg[/tex]

[tex]81.7kg + 0.4kg - 79.3kg[/tex]

[tex]= 2.8kg[/tex]

Hence:

[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]

Answer:

The answer to this question is x=2

Answer:

Solid A

Step-by-step explanation:

Answer:

#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats

#7. 1 - 40 pounds #8. 11 - 20 pounds

Answer:

D

Step-by-step explanation:

1/2 ×4 =2

9514 1404 393

Answer:

   625 square feet

Step-by-step explanation:

The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is

  A = (25 ft)² = 625 ft²

The maximum possible area is 625 ft².

__

In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.

Answer:

Step-by-step explanation:

All other things being equal (and there are a lot of other things) the 50 gram mass will show a larger temperature

increase than the 100 gram mass.

Why?

The formula is the same from both masses of water (50 grams and 100 grams)

The amount of heat added is the same. (Instead of using hot water, we'll a hot plate on a very low temperature but above what they are now.).

We'll leave it on until we see a rise in temperature  delta(t1) = 10 degrees

mc delta(t) = m1 * c * delta(t1)

m = 100

m1 = 50 grams.

c is going to be divided out

we'll solve for the ratio of delta(t) / delta(t1)

100 * delta(t) = 50 (delta(t1)

100 * delta(t) = 50*10

delta(t) = 50*10/100

delta(t) = 5 degrees.

Though this may look rather convoluted, the result is telling us is that delta(t1) for the 50 gram mass is twice as big as as for the 100 gram mass.

The 100 gram mass only rises 5 degrees.

The 50   gram mass rises 10 degrees.

Answer:

50 gram mass will show a larger temperature

increase than the 100 gram mass.

Step-by-step explanation:

50 gms water at 20 ⁰ C and 50 gms of water at 40⁰ C are mixed.  Since the masses of the liquid at different temperatures are same, the answer is very easy and simple :  average of 20⁰C and 40⁰C.  that is:  30⁰C.

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Step-by-step explanation:

sinB=p/h

cosB=b/h

tan B= p/b

Answer:

x= -11

Step-by-step explanation:

Answer:

Solution given:

1.

diameter(d)=6mm

base(b)=8mm

height (h)=5mm

Area of figure=area of parallelogram +area of semi circle

2.

for triangle

base[b]=6ft

height(h)=9ft

for square

length[l]=9ft

Area of figure=area of square +area of triangle

Answer:

plug it into a calculator and you get 0.001

Step-by-step explanation:

50/50=1

then put in the decimal places to get 0.001

Answer:

27 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

since it is a cuboid use this formula

volume of a cuboid=l*w*h

=2*8*3

Answer:

112

Step-by-step explanation:

14.96-6 = 8.96, divide 8.96 by 0.08 and it comes out to 112 which would be how much minutes in total Lamar used.

0.08 being cents per minute

8.96 being the total amount used after the initial $6 monthly fee

Answer:

3x²+9x+8

Step-by-step explanation:

x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)

x²+x+x²+2x+x+2+x²+3x+2x+6

x²+x²+x²+x+2x+x+3x+2x+2+6

3x²+9x+8

Answer:

[tex]3 x^{2}[/tex] + 9[tex]x[/tex] + 8

(This is an expression, not an equation so you can't find x with this expression. Equations have an = sign which can help isolate x on one side to find the value of x. This is the closest thing you could do for an answer for this expression.)

Step-by-step explanation:

x(x+1)+(x+1)(x+2)+(x+2)(x+3)

= (x)(x) + (x)(1) + (x)(x) + (x)(2) + (1)(x) + (1)(2) + (x)(x) + (x)(3) + (2)(x) + (2)(3)

= x^2 + x + x^2 + 2x + x+ 2 + x^2 + 3x + 2x + 6

= (x^2+x^2+x^2) + (x+2x+x+3x+2x) + (2+6)

= [tex]3x^{2}[/tex] + 9[tex]x[/tex] + 8

So first you expand the brackets and then you combine like terms.

Answer:

Wat does that mean?

Step-by-step explanation: