The current l in an electrical conductor varies inversely as the resistance R of the conductor. The current is 1/6 ampere when the resistance is 32400 ohms. What is the current when the resistance is 22500 ohms

Answer:

Sydney's age is 28

Step-by-step explanation:

Let Devaughn be D

And Sydney be S

D=S+8..... equation 1

D+S=64...... equation 2

Substitute equation 1 to equation 2

S+8+S=64

2S+8=64

2S=64-8

2S=56

S=56/2

S=28

Hope it helps

Good luck

The answer is (180,80)

To solve this problem, we have to plot the graph, using a tool. This question relates to an inequality and graphical method is a reliable approach to solve inequality problem.

The given question is an inequality situation where we are asked to use graph to solve.

The data given are

The inequality for this problem is given is as

[tex]12x + 8y > 2500\\x + y < 280[/tex]

Kindly find the attached image as the graph and solution to this problem.

Learn more on graphically solution for inequality here;

https://brainly.com/question/24372553

#SPJ2

Answer:

Option d: n = 36, p = 0.97, x = 36.

Step-by-step explanation:

We are given that a soup company puts 12 ounces of soup in each can. The company has determined that 97% of can have the correct amount.

We have to describe a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled.

Let X = Number of cans that are properly filled

The above situation can be represented through binomial distribution;

[tex]P(X = x) = \binom{n}{x} \times p^{x} \times (1-p)^{n-x} ; x = 0,1,2,........[/tex]

where, n = number of trials (samples) taken = 36 cans

            x = number of success = all cans are properly filled = 36

            p = probabilitiy of success which in our question is probability that

                  can have the correct amount, i.e. p = 97%

So, X ~ Binom (n = 36, p = 0.97)

Hence, from the options given the correct option which describes a binomial experiment that would determine the probability that a case of 36 cans has all cans that are properly filled is n = 36, p = 0.97, x = 36.

Answer:

The answer is option A.

Step-by-step explanation:

here, 5x^2-18x+9

=5x^2-(15+3)x+9

=5x^2-15x-3x+9

=5x(x-3)-3(x-3)

=(5x-3)(x-3)

so, the answer from the above options is (5x-3).

hope it helps..

Answer:

A. x <= 2

Step-by-step explanation:

The domain of a real function should be all real numbers. In

f(x) = sqrt(2-x)

we need 2-x to be non-negative, therefore

2-x >= 0

which implies

x <= 2

Answer:

[tex]\Huge \boxed{{x\leq 2}}[/tex]

Step-by-step explanation:

The function is given,

[tex]f(x)=\sqrt{2-x}[/tex]

The domain of a function are all possible values of x.

There are restrictions for the value of x.

2 - x cannot be equal to a negative number, because the square root of a negative number is undefined. 2 - x has to equal to 0 or be greater than 0.

[tex]2-x\geq 0[/tex]

[tex]-x\geq -2[/tex]

[tex]x\leq 2[/tex]

The domain of the function is x ≤ 2.

Answer:

3/8

Step-by-step explanation:

There are 72 students.  27 students choose football, and 18 choose tennis, which means 27 choose running.

So the probability that a student chooses running is 27/72, which reduces to 3/8.

Answer:

z > -9

Step-by-step explanation:

Combine like factors.

18 - 5z + 6z > 3 + 6

18 - 5z + 6z > 9

18 + z > 9

Solve for z.

18 + z > 9

(18 + z) - 18 > 9 - 18

z > -9

Answer:

The answer is B. 40 inches.

Step-by-step explanation:

The question starts by telling you that line VW is equal to 40 in. If you look at the picture you can see it is divided into 2 equal parts of 20 in each. If you look at line CT, you can see that there are the same marks meaning that those segments are also 20 in. That means that line CT and line VW are equal and that line CT is equal to 40 in.

Answer:

[tex]f(x)=(x-1)\,(x-3)\.(x+2)[/tex]

which agrees with the first answer shown in the list of possible options.

Step-by-step explanation:

Notice that there are three roots for this polynomial clearly shown on the graph's crossings of the x axis: x = 1, x = 3, and x = -2.

Therefore, based on such, we can write three binomial factors of the form [tex](x-root)[/tex]  for the polynomial:

[tex]f(x)=(x-1)\,(x-3)\.(x-(-2))=(x-1)\,(x-3)\.(x+2)[/tex]

Answer:

Congruent

Step-by-step explanation:

I am not 100% sure because there are no measurements but it looks like the two shapes are the same size.

If this helped, please consider giving me brainliest, it will help me a lot :)

Have a good day.

Answer:

4611/11515

Step-by-step explanation:

1/(1×3)- 1 times 3 simply equals 3. so the answer would be 1/3.

1/(3×5)- 3 times 5 simply equals 15. so the answer would be 1/15.

1/(47×49)- 47 times 49 is 2303. so the answer would be 1/2303.

after all this you find the common deonomator. The common denominator is 34545. 34545 divided by 3 equals to 11515 so you  muliplty that number by 1/3.  34545 divided by 15 equals to 2303 so you  muliplty that number by  1/15.

34545 divided by 2303 equals to 15 so you multiply that number by 1/2303. After adding all that together you get 13833/34545. However after you simplify that number you get 4611/11515

Answer:

[tex]\boxed{D = 6.4 units}[/tex]

Step-by-step explanation:

She stops by (0,0)

She further needs to travel to (5,-4)

Let's calculate the distance using the Distance Formula:

Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

D = [tex]\sqrt{(5-0)^2+(-4-0)^2}[/tex]

D = [tex]\sqrt{(5)^2+(-4)^2}[/tex]

D = [tex]\sqrt{25+16}[/tex]

D = [tex]\sqrt{41}[/tex]

D = 6.4 units

She needs to travel 6.4 units more.

Answer:

2sqrt41

Step-by-step explanation:

Origin=(0,0)

Brenda wants to go from (-4,5) to (0,0) and then to (5,-4). So we need to calculate the distance from (-4,5) to (0,0), and the distance of (0,0) to (5,-4).

The distance formula is sqrt (x2-xs1)^2+(y2-y1`)^2.

So: sqrt (5-0)^2+(-4-0)^2

sqrt (5^2+-4^2)

sqrt 25+16

sqrt 41

Now we need to figure out the distance from (0,0) to (5,-4)

sqrt(0-5)^2+(0-(-4))^2

sqrt(-5^2+4^2)

sqrt 25+16

sqrt 41

sqrt 41+sqrt 41

2sqrt41

Answer:

The slope of the given line is 2

Answer -1/2 is the line perpendicular

Step-by-step explanation:

This can be rewritten in fraction form as 2/1 since x/1 = x.

Explanation:

The given equation is False, so cannot be proven to be true.

__

Perhaps you want to prove ...

  [tex]2\tan{x}=\dfrac{\cos{x}}{\csc{(x)}-1}+\dfrac{\cos{x}}{\csc{(x)}+1}[/tex]

This is one way to show it:

  [tex]2\tan{x}=\cos{(x)}\dfrac{(\csc{(x)}+1)+(\csc{(x)}-1)}{(\csc{(x)}-1)(\csc{(x)}+1)}\\\\=\cos{(x)}\dfrac{2\csc{(x)}}{\csc{(x)}^2-1}=2\cos{(x)}\dfrac{\csc{x}}{\cot{(x)}^2}=2\dfrac{\cos{(x)}\sin{(x)}^2}{\cos{(x)}^2\sin{(x)}}\\\\=2\dfrac{\sin{x}}{\cos{x}}\\\\2\tan{x}=2\tan{x}\qquad\text{QED}[/tex]

__

We have used the identities ...

  csc = 1/sin

  cot = cos/sin

  csc^2 -1 = cot^2

  tan = sin/cos

Answer: a- steve

Step-by-step explanation:

Answer:

B Emma is correct

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

2 − x = −3

Subtract 2 from each side

2-2 − x = −3-2

-x = -5

Multiply by -1

x = 5

Answer:

We conclude that the population means checkout times of the two new systems differ.

Step-by-step explanation:

We are given the result in the following summary of the data;

System          System B

n1=120             n2=100

x1=4.1 min       x2=3.4 min

σ1=2.2 min     σ2= 1.5 min

Let [tex]\mu_1[/tex] = population mean checkout time of the first new system

[tex]\mu_2[/tex] = population mean checkout time of the second new system

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that the population mean checkout times of the two new systems are equal}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1\neq \mu_2[/tex]      {means that the population mean checkout times of the two new systems differ}

The test statistics that will be used here is Two-sample z-test statistics because we know about population standard deviations;

                          T.S.  =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{\sqrt{\frac{\sigma_1^{2} }{n_1} + \frac{\sigma_2^{2} }{n_2}} }[/tex]  ~ N(0,1)

where, [tex]\bar X_1[/tex] = sample mean checkout time of the first new systems = 4.1 min

[tex]\bar X_2[/tex] = sample mean checkout time of the second new systems = 3.4 min

[tex]\sigma_1[/tex] = population standard deviation of the first new systems = 2.2 min

[tex]\sigma_2[/tex] = population standard deviation of the second new systems = 1.5 min

[tex]n_1[/tex] = sample of the first new systems = 120

[tex]n_2[/tex] = sample of the second new systems = 100

So, the test statistics =  [tex]\frac{(4.1-3.4)-(0)}{\sqrt{\frac{2.2^{2} }{120} + \frac{1.5^{2} }{100}} }[/tex]  

                                    =  2.792

The value of z-test statistics is 2.792.

Now, at 0.05 level of significance, the z table gives a critical value of -1.96 and 1.96 for the two-tailed test.

Since the value of our test statistics does not lie within the range of critical values of z, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the population mean checkout times of the two new systems differ.

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

Answer:

x=8 i got it right on my homework on khan academy

Step-by-step explanation:

Answer: Using logarithms to solve you will get x = 8

Answer:

13 and -13

Step-by-step explanation:

The only factors of 169 are 1, 13, and 169.

Since the product is negative, you have to use 13 and -13. These numbers have a difference to 26. And when multiplied they equals -169

Answer:

Step-by-step explanation:

Given the system of equation  x−3y=−3 and x+y=5, we can solve for x and y by solving the equation simultaneously using the substitution method.

x−3y=−3_____________ 1

x+y=5 ______________2

From equation 2; x = 5- y ________ 3

Substitute equation 3 into equation 1

Since x - 3y = -3

(5-y)-3y = -3

5-y-3y = -3

5-4y = -3

Subtract 5 from both sides of the equation

5-4y-5 = -3-5

-4y = -8

Divide both sides by -4

-4y/-4 = -8/-4

y = 2

Substitute y = 2 into equation 2 to get the value of y;

From equation 2, x+y = 5

x+2 = 5

Subtract 2 from both sides of the equation

x+2-2 = 5-2

x = 3

Hence the value of x and y from the graph will be 3 and 2 respectively.

Answer:

B. The problem involves a combination because the order in which the letters are selected does not matter.

Step-by-step explanation:

Computation technique is a method of statistics to find possible ways of combination. In computation technique it is assumed that order does not matter and letters will be selected at random. Permutation is a statistics technique to find possible ways of combination when the order does matter. Permutation technique cannot be used when order does not matter.

Answer:

[tex]y=\frac{x^2}{100}+2500[/tex]

Step-by-step explanation:

Given that the satellite is in the shape of parabola and will be positioned above the ground such that its focus is 50 ft, above ground.

let the point at the ground be (0,0) and focus (0,50). Thus, The base is at equal distance from the ground and focus that the vertex is at

(h,k) =(0,25).

Obtain the equation that describes the equation of the satellite as,

[tex](x-h)^2 =4a(y-k)\\

\Rightarrow (x-0)^2=4(25)(y-25)\\

\Rightarrow x^2=100(y-25)\\

\Rightarrow x^2 =100y-2500\\

\Rightarrow y=\frac{x^2}{100}+2500[/tex]

Thus, the equation of satellite is  [tex]y=\frac{x^2}{100}+2500[/tex]

Answer:

(0, 25); y = one over one hundred x2 + 25

Step-by-step explanation:

If your on question 7 of (04.04 MC)

It should be the third option. (C)

Answer:

Discount : $34.25 off. Percent of the discount : 25%

Step-by-step explanation:

137 - 102.75 = 34.25.

34.25/137 x 100 = 25%

Answer:

Area of rectangle is 100 square inches.

Step-by-step explanation:

Area of rectangle = length * width

a=l*w

a=4w*w

a=4w^2............(1)

Put the value of w in (1)

a=4(5)^2

a=4(25)

a=100in^2

Answer:

100 yards

Step-by-step explanation:

the length is 4 times the width of the rectangle, so I used guess and check and figured 20 is four times greater than 5 and plugged those two numbers in and it worked.

Answer:

d. 38

Step-by-step explanation:

AB = AD - BD = 54 - 36 = 18

AC = AB + BC = 18 + 20 = 38

Answer:

The  probability is   [tex]P(A') = 0.485[/tex]

Step-by-step explanation:

Let assume that the number of computer produced by factory C is  k = 1  

 So  From the  question we are told that

       The number produced by  factory A is  4k =  4

        The  number produced by factory B is  7k  = 7

        The  probability of defective computers from A is  [tex]P(A) = 0.04[/tex]

        The  probability of defective computers from B is  [tex]P(B) = 0.02[/tex]

        The  probability of defective computers from C is [tex]P(C) = 0.03[/tex]

Now the probability of factory A producing a defective computer out of the 4 computers produced is  

       [tex]P(a) = 4 * P(A)[/tex]

substituting values

        [tex]P(a) = 4 * 0.04[/tex]

        [tex]P(a) = 0.16[/tex]

The probability of factory B producing a defective computer out of the 7 computers produced is  

       [tex]P(b) = 7 * P(B)[/tex]

substituting values

        [tex]P(b) = 7 * 0.02[/tex]

        [tex]P(b) = 0.14[/tex]

The probability of factory C producing a defective computer out of the 1 computer produced is  

       [tex]P(c) = 1 * P(C)[/tex]

substituting values

        [tex]P(c) = 1 * 0.03[/tex]

        [tex]P(b) = 0.03[/tex]

So the probability that the a computer produced from the three factory will be defective is  

     [tex]P(t) = P(a) + P(b) + P(c)[/tex]

substituting values

     [tex]P(t) = 0.16 + 0.14 + 0.03[/tex]

     [tex]P(t) = 0.33[/tex]

Now the probability that the defective computer is produced from factory A is

      [tex]P(A') = \frac{P(a)}{P(t)}[/tex]

       [tex]P(A') = \frac{ 0.16}{0.33}[/tex]

        [tex]P(A') = 0.485[/tex]

Answer:

0

Step-by-step explanation:

the answer is 0

Have a great day

option A is correct answer.

because angle JKL is half of of arc JL .

so, angle JK is equal to 64°.

hope it helps...