What is the square root of -1?

Answer:

length = 12

width = 15

Step-by-step explanation:

if you foil (x+7)(x+10) you get:

x²+17x-110 = 0

the factors are:

(x+22)(x-5) = 0

x = -22 and 5

we can dismiss the negative as irrelevant for a measure; therefore, x = 5

length = 5+7, or 12

width = 5+10, or 15

Answer:

the answer is 1.7 litres

to compare we must have all quantities in the same unit

1.7 × 1000 = 1700 ml

hence, 1700 ml is the largest capacity from the given options

Answer:

A = $5,984.74

A = P + I where

P (principal) = $5,000.00

I (interest) = $984.74

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.03/12)(12)(6)

A = 5,000.00(1 + 0.0025)(72)

A = $5,984.74

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 3% per year compounded 12 times per year over 6 years is $5,984.74.

Answer:

the answer is 4

Step-by-step explanation:

9514 1404 393

Answer:

  38.63 m

Step-by-step explanation:

The definition of the perimeter tells you that you need to find the lengths of each of the edges of the figure.

The diagonal edge at left is the hypotenuse of a right triangle with legs 4 and 6. They Pythagorean theorem tells you that length is ...

  d = √(4² +6²) = √52 ≈ 7.21 . . . meters

The straight line across the top is marked 9 meters.

The semicircle length is half the circumference of a circle with diameter 6 m. That semicircle length is ...

  semicircle length = (1/2)πd = (1/2)(3.14)(6 m) = 9.42 m

The straight bottom edge of the figure is 4+9 = 13 m.

Then the sum of lengths around the figure is ...

  7.21 m + 9 m + 9.42 m + 13 m = 38.63 m

The perimeter of the figure rounded to 2 decimal places is 38.63 meters.

Answer:

See explanation

Step-by-step explanation:

Given

The attached triangle

Required

Complete the ratios

(a) sin B

[tex]\sin(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin(B) = \frac{b}{c}[/tex]

(b) cos B

[tex]\cos(B)[/tex] is calculated as:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(B) = \frac{a}{c}[/tex]

(c) tan B

[tex]\tan(B)[/tex] is calculated as:

[tex]\tan(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(B) = \frac{b}{a}[/tex]

(d) tan A

[tex]\tan(A)[/tex] is calculated as:

[tex]\tan(A)= \frac{Opposite}{Adjacent}[/tex]

[tex]\tan(A) = \frac{a}{b}[/tex]

(e) cos A

[tex]\cos(A)[/tex] is calculated as:

[tex]\cos(A) = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos(A) = \frac{b}{c}[/tex]

(f) sin A

[tex]\ain(B)[/tex] is calculated as:

[tex]\sin(B) = \frac{Opposite}{Adjacent}[/tex]

[tex]\sin(B) = \frac{a}{c}[/tex]

Answer:

I believe it is 761 is the cost the roofer will charge.

Step-by-step explanation:

First: Multiply 32 with 19.25 (standing for h), which equals to 616.

Second: Add 616 with 145, which adds up to 761.

Answer:

29.54

Step-by-step explanation:

29.54. is your answer to this problem

Answer:

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Step-by-step explanation:

V = l*w*h

32 = l*w*4

32/4 = l*w*4/4

8 = l*w

We could have 1*8

We could have 2*4

It must be a rectangle

It must be a rectangle with dimension of either 1 by 8  or 2 by 4

Check the picture below.

Answer:

V:  x= -3

H:  y= -3

Step-by-step explanation:

Answer:

5(x+2)

Step-by-step explanation:

5x + 10=

Factor out 5

5(x+2)

Answer:

[tex]5(x + 2)[/tex]

Step-by-step explanation:

Get 5 out

[tex]5x + 10 \\ 5(x + 2)[/tex]

Answer:

a)  0.2347, 0.0007

b) 1.30

c) 0.63

Step-by-step explanation:

Given –  

Mean = 73.4

Sigma = 4.7

Probability that the speed is greater than 70 is  

P (X>70) = P (z> (70-73.4)/4.7) = P (z>-0.72) = 0.7653

a) The probability that a car is not speeding = 1 - 0.7653 = 0.2347

The probability that all 5 cars are not speeding = (0.2347)5 = 0.0007

b) E (X) = 1/p = 1/0.7653 = 1.30  

c) Standard deviation = Sqrt (1-p/p) = (1-0.7653)/0.7653 = 0.63

Answer:

Step-by-step explanation:

let  the missing side be x

a^2+b^2=c^2

6^2+12^2=x^2

36+144=x^2

180=x^2

[tex]\sqrt{180[/tex] =x

6[tex]\sqrt{5[/tex] =x

for angle C

take angle C as reference angle

using tan rule

tan C=opposite/adjacent

tan C=6/12

tan C=0.5

C=[tex]tan^{-1}[/tex]0.5

C=26.6 degree

Answer:

I’m pretty sure it’d be 17 because 15 is the lower extreme.

Step-by-step explanation:

I just learned this. 17 would be the Q1, 20 would be Q2, and 23 would be Q3. I hope this helped you out :)

Answer:

Depends. See below.

Step-by-step explanation:

Let's take 1*-2 for example. If we multiplied 1 with -2, the resulting product will be negative since it's -2. Now if we did -1*-2, then the resulting product will be positive since it's 2.

Answer:

A mixed number is a whole number plus a fractional part. An improper fraction is a fraction where the numerator (top number) is larger than the denominator (bottom number). You can convert between mixed numbers and improper fractions without changing the value of the figure.

Step-by-step explanation:

i did it before

Answer:

Jose's father weighs 70 kilograms.

Step-by-step explanation:

Given that Jose weighs 25 kg, while his father is 5 kg less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:

Jose = 25

Father = 3J - 5

3 x 25 - 5 = Father

75 - 5 = X

70 = X

Therefore, Jose's father weighs 70 kilograms.

Answer:

You saved $30

Step-by-step explanation:

20% + 10% = 30%

30% = 0.30

$100 * 0.30 = $30

$100 - $30 = $70

Hope this is helpful

Answer:

x = 43

Step-by-step explanation:

The two angles add to 93

x+ 50 = 93

Subtract 50 from each side

x+50-50 = 93-50

x = 43

Answer:

x = 43 °

Step-by-step explanation:

sum of two angles is equal to 93°,

50 ° + x = 93 °

Subtract 50° from each side

50° - 50° + x = 93° - 50°

x = 43°

Answer:

Area=120 cm

Step-by-step explanation:

I think for each separate figure you find the area and then add them up to find the total area. The formula to find the area here is length times width or base times height.

First figure: 12 times 5= 60 cm

Second figure=8 times 5=40cm

Together we have 100cm as our area, that might be wrong, look in the comments, thanks for correcting me :)

Answer:

Incomplete question, but the binomial distribution with [tex]p = 0.9[/tex] and [tex]n = 4[/tex] is used to solve the questions.

Step-by-step explanation:

For each disk, there are only two possible outcomes. Either it passes the first test, or it does not. The probability of a disk passing the first test is independent of any other disk. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Suppose that past data indicate that the probability that a compact-disk player passes the first test is 0.9.

This means that [tex]p = 0.9[/tex]

4 compact-disk players are randomly selected

This means that [tex]n = 4[/tex]

Answer:

4

Step-by-step explanation:

BCD is a right triangle. The Pythagorean Theorem applies; a^2 + b^2 = c^2, with c being the hypotenuse. a^2 + 9 = 25, so a^2 = 16, so a = 4

Answer:

The answer is C. Depression.

Step-by-step explanation:

Depression is defined as a severe and prolonged recession. Declining economic activity is characterized by falling output and employment levels. Generally, when an economy continues to suffer recession for two or more quarters, it is called depression.

The level of productivity in an economy falls significantly during a depression. Both the GDP (gross domestic product) and GNP (gross national product) show a negative growth along with greater business failures and unemployment. Depressions are relatively less frequent than milder recessions, and tend to be accompanied by high unemployment and low inflation.

Answer:

You did not finish the question. If you were to finish it, we might be able to help you.

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

Answer:

0.1733 = 17.33% probability the first stack was selected.

Step-by-step explanation:

To solve this question, it is needed to understand conditional probability, and the hypergeometric distribution.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Conditional probability:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Probability of all red cards for the first stack:

For this, we use the hypergeometric distribution, as the cards all chosen without replacement.

7 + 4 = 11 cards, which means that [tex]N = 11[/tex].

7 red, which means that [tex]k = 7[/tex]

3 are chosen, which means that [tex]n = 3[/tex]

We want all red, so we find P(X = 3).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,11,3,7) = \frac{C_{7,3}*C_{4,0}}{C_{11,3}} = 0.2121[/tex]

Conditional probability:

Event A: All red

Event B: From the first stack.

Probability of all red cards:

0.2121 of 50%(first stack)

1 of 50%(second stack). So

[tex]P(A) = 0.2121*0.5 + 1*0.5 = 0.60605[/tex]

Probability of all red cards and from the first stack:

0.21 of 0.5. So

[tex]P(A \cap B) = 0.21*0.5 = 0.105[/tex]

What is the probability the first stack was selected?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.105}{0.60605} = 0.1733[/tex]

0.1733 = 17.33% probability the first stack was selected.

Answer:2100g

Step-by-step explanation:

We can use ratios to solve this:

100 pie : 3000g

1 pie : 30g

70 pie : 2100g