Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answer:

SAS (side, angle, side)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Answer: Second picture, B

Step-by-step explanation:

Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.

We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.

The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).

The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.

Answer:

C

Step-by-step explanation:

[tex]sin^{-1} x = csc x\\[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

[tex]csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}[/tex]

hypotenuse is 5 and opposite is 8,3 -----> third option

Answer:

Option D

Step-by-step explanation:

Out of all given options, Option D (the parallelogram) will tessellate the easiest.

Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.

Option A and Option C's shape wouldn't tessellate because it would leave a gap.  To add, Option C's shape is nearly impossible to tessellate.

Answer: B, C, D

step by step explaniation

Answer:

1.332 × 10-3

Step-by-step explanation:

you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)

Answer

[tex]\sqrt[7]{a^{5} }[/tex] is the correct answer to the given question.

Step-by-step explanation:

The given question is incomplete the options are missing also the question is also not well described the question is  [tex]a^{5/7}[/tex].

[tex]a^{5/7}[/tex]

So it can be written as    [tex]\sqrt[7]{a^{5} }[/tex] is the correct answer.

Answer:

D

Step-by-step explanation:

0.0000058102 can be rounded to 0.000006.

5 x 10^-5 = 0.00005

6 x 10^-5 = 0.00006

5 x 10^-6 = 0.000006

6 x 10^-6​ = 0.000006

The closest answer to the estimate is option D.

Answer:

ggttttttttttttt

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

Learn more about Isosceles Triangle:

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Answer:

you can do 4/3 x 1 if I get it wrong im sorry

Answer:

"Perfect square trinomials" are quadratics which are the results of squaring binomials. (Remember that "trinomial" means "three-term polynomial".)

For instance:

(x + 3)2

= (x + 3)(x + 3)

= x2 + 6x + 9

...so x2 + 6x + 9 is a perfect square trinomial.

Answer:

C

Step-by-step explanation:

The answer is X+4

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

Cylinder Volume   =   π • r² • height

Volume = PI * .210 m^2 * 5

Volume = 0.6927211801 cubic meters

Wood has a mass of 693 / cubic meter

mass = 0.6927211801 * 693 = 480.06 kilograms

Step-by-step explanation:

Answer:

A, C

Step-by-step explanation:

10x+ 4y = -2

5x -2y = 2

We can multiply the first equation by 1/2

5x+2y = -1

And then add the equations to eliminate y

5x+2y = -1

5x -2y = 2

--------------------

10x +0y = 1

Adding the equations will not eliminate any variables

15x +2y =0

Multiply the bottom equation by 2 and then subtract

10x -4y = 4

10x+ 4y = -2

-10x +4y = -4

------------------

0x +8y = -6  will eliminate x

Answer:

Answer A, C

Step-by-step explanation:

When multiplying the bottom equation by two, you get 10x-4y=4

After subtracting 10x-4y=4 and the top equation you will be able to eliminate the variable x.

You can also also get the same result and eliminate a variable with answer A.

Answer:

x = 15/11

Step-by-step explanation:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

(x+3) *x = 2x*(6x-6)

Divide each side by x

x+3 = 2(6x-6)

Distribute

x+3 = 12x-12

Subtract x from each side

x+3-x = 12x-x-12

3  = 11x-12

Add 12 to each side

3+12 = 11x-12+12

15 = 11x

Divide each side by 11

15/11 =x

Answer:

15/11

Step-by-step explanation:

(x + 3) *x = 2x * (6x - 6)

x^2 + 3x = 12x^2 - 12x

x^2 - 12x^2 = - 12x - 3x

- 11x^2 = - 15x

11 x * x = 15 * x

Like terms cancel out

11x = 15

= 15/11

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

82 degrees

Step-by-step explanation:

sum of the angles of the triangle = 180 °

first angle is 41°

second one is : 180-123 = 57°

then the measure of the missing angle(x)  is : 57+41 +x = 180

x= 180-98 = 82°

Answer:

I think that it is 39.2 but i'm not 100% sure

Step-by-step explanation:

Hope this helps!

Answer:

sorry I don't know understand

Answer:

D.

Step-by-step explanation:

Because its three times as much as 42 so its opposite of multiplication so its division with is also 3x=42 and to solve that you divide 3x by 3 and just get x then you divide 42 and 3 and u get your answer( im not gonna do the math lol)

2: V = 330 m^2

3: V = 144 m^2

Step-by-step explanation:

All the figures shown are rectangular prisms.

You can find the volume of a rectangular prism through this formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height.

To find the volume of a composite figure, find the volume of each smaller figure, then add them together.

Question 2: 330 m^2

V = 3 * 5 * 6 (smaller prism)

V = 8 * 5 * 6 (larger prism)

smaller prism = 90 m^2

larger prism = 240 m^2

240 + 90 = 330 m^2

Question 3: 144 m^2

V = 3 * 4 * 2 (small prism 1)

V = 3 * 4 * 2 (small prism 2)

V = 12 * 4 * 2 (large prism)

small prisms: 24 m^2

large prism: 96 m^2

24 + 24 + 96 = 144 m^2

Answer: $3.20

Step-by-step explanation:

SI = p *r * t

= 5.93 * 0.06 * 9

= 3.20

Answer:

$3.20

Step-by-step explanation:

Using Simple Interest = (principal) * (rate) * (time), we get:

= 5.93 * 0.06 * 9

= $3.20

Hope this helps!

Answer:

Your correct answer is 3,000

Step-by-step explanation:

                 25

             x 120

             -------------

                3,000

25 * 12 = 300

Now, you add an extra zero to get your answer.

Answer:

3000

Step-by-step explanation:

25 * 120

120

25

-------

600

240

3000

25 * 12 = 300

then add zero to end

3000

Complete Question:

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).

Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

NOTE: The pmf is shown in the file attached

Answer:

Expected number of batches, E(X) = 2.0 batches

Variance of batches, V(X) = 0.8 batches²

Expected number of pounds left, E(Y) = 90 lb

Variance of pounds left, V(Y) = 20 lb²

Step-by-step explanation:

The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X

The expected value of X, E(X) can be calculated using the formula:

[tex]E(X) = \sum x p(x)[/tex]

E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)

E(X) = 0.3 + 1 + 0.3 + 0.4

E(X) = 2.0

Expected number of batches, E(X) = 2.0 batches

The variance of X, V(X) can be calculated using the formula:

[tex]V(X) = E(X^2) - [E(X)]^2\\ E(X^2) = \sum x^2 p(x)\\ E(X^2) = (1^2 *0.3) + (2^2 * 0.5) + (3^2 * 0.1) + (4^2 * 0.1)\\ E(X^2) = 0.3 + 2 + 0.9 + 1.6\\ E(X^2) = 4.8\\V(X) = 4.8 - 2^2\\V(X) = 0.8[/tex]

Variance of batches, V(X) = 0.8 batches²

Y = 100 - 5X

E(Y) = E(100 - 5X)

E(Y) = 100 - 5E(X)

E(Y) = 100 - 5(2)

E(Y) = 90 lb

Expected number of pounds left, E(Y) = 90 lb

Variance of the number of pounds left:

V(Y) = V(100 - 5X)

V(Y) = V(100) + V(-5X)

V(100) = 0

V(Y) = (-5)² V(X)

V(Y) = 25 * 0.8

V(Y) = 20

Variance of pounds left, V(Y) = 20 lb²

The question is incomplete. Here is the complete question.

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.

 x      1         2        3       4

P(x)  0.3     0.5     0.1     0.1

Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

Answer: E(X) = 2

V(X) = 0.8

Expected number of pounds left = 90

Variance of the number of pounds left = 20

Step-by-step explanation: Since this is a probability distribution, to determine E(X), which is a measure of central tendency:

E(X) = ∑[x*P(x)]

E(X) = 1*0.3+2*0.5+3*0.1+4*0.1

E(X) = 2

V(X) is the variance for this type of distribution and is calculated as:

V(X) = ∑{[x - E(x)]²*P(x)} = (1-2)²*0.3+(2-2)²*0.5+(3-2)²*0.1+(4-2)²*0.1

V(X) = 0.8

The number of pounds left after the next costumer's order is shipped is given by the equation: Y = 100 - 5X

The expected number is equal to E(Y), which is this case is:

E(Y) = E(100 - 5X)

One property of E(X) is that if a and b are constants:

E(aX+b) = aE(X) + b

Taking that a = - 5 and b = 100:

E(100 - 5X) =  (-5).2 + 100

E(Y) = 90

The variance of the number of pounds left is given by:

V(Y) = V(100 - 5X)

For variance, the property is: if a and b are constants:

V(aX+b) = a²V(X)

V(100 - 5X) = (-5)²*0.8

V(Y) = 20

Answer:

12pi

Step-by-step explanation:

The area of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case:

[tex]\dfrac{1}{3}\pi \cdot 3^2 \cdot 4=12\pi[/tex]

Hope this helps!

Answer:

B. Tamar is correct.

Step-by-step explanation:

A triangle can be proven as a right angle triangle if  it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as

c² = a² + b²

where

c = hypotenuse sides

a and b can be any of the opposite or adjacent sides.

The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides

c² = a² + b²

58² = 40 ² + 42²

3364 = 1600 + 1764

3364 = 3364

Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.

Answer:

B

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

For this problem, the negative sign on the 38 stays.  You can remove the parentheses and addition sign and subtract 38 from 12.

12 + (-38) + 27

12 - 38 + 27

-26 + 27

1

If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).

Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

The full form of BODAMAS is" bracket, orders, divisions, multiplication, addition, subtraction. Any calculation follows the order of BODAMAS rule".

According to the question,

12 + (-38) + 27

= 12 - 38 + 27           [Removing the Parentheses]

= 26.

Hence, Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

Learn more about  BODAMAS here

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Answer:

a) [tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]

[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]

b) [tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]

[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]

c) [tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]

[tex]P(z<2.375)= 0.991[/tex]

Step-by-step explanation:

Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:

[tex]X \sim N(160,8)[/tex]  

Where [tex]\mu=160[/tex] and [tex]\sigma=8[/tex]

Part a

We are interested on this probability

[tex]P(148<X<175)[/tex]

We can ue the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]

Part b

[tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]

Part c

[tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]

And we can find this probability with this difference using the normal standard distribution or excel:

[tex]P(z<2.375)= 0.991[/tex]

The generally accepted parts of modern cell theory include: All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.

hope it helps!!!! :]

Answer:

El angulo mide 150 grados.

Step-by-step explanation:

I have attached the work to your problem // Agregué una foto con tu trabajo.

Please see the attachment below // Mirala abajo.

I hope this helps! // Espero que te ayude mi foto. Saludos de Colombia.

Answer:

A =101.956 cm^2

Step-by-step explanation:

The area of the parallelogram is given by

A = bh

A = 14.2 * 7.18

A =101.956 cm^2

Answer:

101.956

Step-by-step explanation:

Area equals bh

7.18(14.2)

Answer:

The answer is actually not an option here. The answer is y=-1/3x+16