Pls can some help me

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:

[tex]\frac{-5-i\sqrt{139}}{6},\ \frac{-5+i\sqrt{139}}{6}}[/tex]

Step-by-step explanation:

When given the following function,

[tex]F(x)=x+3x^2+4x+12[/tex]

One is asked to find the roots. The roots of the equation are the zeros, where the graph of the equation intersects the (x) axis. To find these points on a quadratic equation (equation to the second degree -> the largest exponent in this equation is (2)), one should simplify the equation. Remember, during simplification, one is trying to get the equation of the parabola closets to the quadratic equation in standard form, this form is the following,

[tex]y=ax^2+bx+c[/tex]

After simplifying the equation, one should use the quadratic formula to find the roots of the equation.

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

[tex]F(x)=x+3x^2+4x+12[/tex]

Simplify, combine like terms, terms with the same variable to the same degree;

[tex]F(x)=3x^2+5x+12[/tex]

Now use the quadratic formula, the quadratic formula states the following,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Where the parameters (a), (b, and (c) represent the coefficients of the terms in the quadratic formula in standard form. Substitute in the respective coefficients in the given equation and solve for the roots,

[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}[/tex]

Simplify,

[tex]\frac{-(5)(+-)\sqrt{(5)^2-4(3)(12)}}{2(3)}\\\\=\frac{-5(+-)\sqrt{25-144}}{6}\\\\=\frac{-5(+-)\sqrt{-139}}{6}\\\\=\frac{-5(+-)i\sqrt{139}}{6}[/tex]

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:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Step-by-step explanation:

Independent events:

If two events, A and B are independent, the probability of both A and B happening is the same as the probability of A happening multiplied by the probability of B happenings, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question:

The statement is [tex]P(A \cap B) = P(A)P(B)[/tex]

Answer:

20 cashiers

Step-by-step explanation:

There is 10 boxes. Each cashier is given 1/2 of one box.

10 multiplied by 2 (which is 20) gives you the amount of cashiers since each one is given one half and there is 20 one halfs in 10.

Answer:

360 Meters squared

Step-by-step explanation:

60 + 120 + 130 + 50

Answer:

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

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:

4.37 inches.

Step-by-step explanation:

4 2/5 = 4.4

4.4 - 0.03 = 4.37

Therefore, it rained 4.37 inches on Tuesday.

Answer: the answer is A (I think but it should be correct)

Answer:-2, 0, 2, 3, 4

Step-by-step explanation:

-2 is smaller than 0, 0 is smaller than 2, 2 is smaller than 3, and 3 is smaller than 4.

Answer:

4, 3, 2, 0, -2

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:

35

Step-by-step explanation:

In a two-digit number, the units digit is two more than the tens

digit.

(10x) + (x + 2)

If you add the digits together and multiply the result by 6,

you will get five less than the number with the digits reversed.

(x + (x + 2))(6) = 10(x + 2) + x - 5

(2x + 2)(6) = (10x + 20)+ x - 5

12x + 12 = 11x + 15

x = 3

Original number

(10x) + (x + 2)

(10 * 3) + (3 + 2)

30 + 5

35

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

[tex]\pmb{\qquad{\qquad{\qquad{\underline{\green{\underline{\sf{Filtration}}}}}}}}[/tex]

Filtration is a physical or chemical separation process that separates solid matter and flu.id from a mixture using a filter medium that has a complex structure through which only the flu.id can pa.ss.

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓

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]

Check the picture below.

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

Answer:

The speed of plane B relative to plane A is 392.25 mph.

Step-by-step explanation:

Speed of plane A = 440 mph north east

speed of plane B = 550 mph north

speed of plane A = [tex]440(cos 45 \widehat{i} + sin 45 \widehat{j})=311.1 \widehat{i} + 311.1 \widehat{j}[/tex]

speed of plane B = [tex]550 \widehat{j}[/tex]

Speed  of plane B with respect to plane A is

= speed of plane B - speed of plane A

[tex]=550 \widehat{j} - 311.1 \widehat{i} - 311.1 \widehat{j}\\\\=-311.1 \widehat{i} + 238.9 \widehat{j}\\\\= \sqrt{311.1^2 + 238.9^2 }\\\\=392.25 mph[/tex]

Answer:

d

Step-by-step explanation:

Answer:

3250

Step-by-step explanation:

Answer:

I believe the answer is 3,250

78,000 x 8 = 624,000

624,000 / 192 = 3,250

Answer:

a) 1/2

b) 9/40

Step-by-step explanation:

Given

Total number of families living in Willbrook Farms Development = 20

Number of families preparing their own federal income taxes for last year = 10

Number of families for which taxes were prepared by a local professional = 7

Number of families for which taxes were prepared by H&R Block = 3

a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2

b) The probability of selecting two families, both of which prepared their own taxes

10/20 * 9/20 = 9/40

Answer:

oof

Step-by-step explanation:

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:

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:

$82.875

Step-by-step explanation:

From the given information:

Assume F is used to denote the two cards;

If there are four aces among 52 playing cards, the chance of selecting the first ace is =  [tex]\dfrac{4}{52}[/tex]

After selecting the first ace, we have only 3 aces remaining and a total of 51 playing cards. Thus, the chance of selecting the second ace will be [tex]\dfrac{3}{51}[/tex]

By applying product rule, we can determine the chance of selecting two aces without replacement as follows:

i.e.

[tex]P(F=22)=\dfrac{4}{52}\times \dfrac{3}{51}[/tex]

[tex]= \dfrac{1}{221}[/tex]

The probability of getting one ace, one face is:

[tex]P(F=21) =( \dfrac{4}{52}\times \dfrac{12}{51})+( \dfrac{12}{52}\times \dfrac{4}{51})[/tex]

[tex]P(F=21) = \dfrac{4}{221}\times\dfrac{4}{221}[/tex]

[tex]P(F=21) = \dfrac{8}{221}[/tex]

Since there are 4 aces, 4 nine, and 12 faces in a card deck

The probability of getting one ace, one nine, or two faces now will be:

[tex]P(F=20) = (\dfrac{4}{52} \times \dfrac{4}{51})+ (\dfrac{4}{52} \times \dfrac{4}{51}) + (\dfrac{12}{52} \times \dfrac{11}{51})[/tex]

[tex]P(F=20) = (\dfrac{53}{663} )[/tex]

Now, the probability  of at least 20 now is:

[tex]\text{P(F at least 20)} = \dfrac{1}{221}+\dfrac{8}{221}+\dfrac{53}{663}[/tex]

[tex]\text{P(F at least 20)} = \dfrac{80}{663}[/tex]

If H represents the amount of prize of the expected winnings:

Then;

[tex](H - 10) (\dfrac{80}{663}) + (-10)(\dfrac{663-80}{663}) = 0[/tex]

[tex]\dfrac{80(H-10)}{663}-\dfrac{5830}{663}=0[/tex]

[tex]\dfrac{80(H-10)}{663}=\dfrac{5830}{663}[/tex]

80H - 800 = 5830

80H = 5830 +800

80H = 6630

H = 6630/80

H = $82.875

The prize should be $82.875 to make a winning positive.

Answer:2100g

Step-by-step explanation:

We can use ratios to solve this:

100 pie : 3000g

1 pie : 30g

70 pie : 2100g

Answer:

[tex]x\geq 7\\[/tex]

[tex]x[/tex] ∈ [tex][7,[/tex] ∞ [tex])[/tex]

Step-by-step explanation:

In this problem, one is given the following function,

[tex]f(x)=(x-7)^2[/tex]

The problem asks one to find the interval for which the function is one-to-one and non-decreasing.

A one-to-one function is when every element in the range corresponds to every element in the range. Moreover, no element in the range will correspond to more than one element in the domain. In essence, every input pairs to only one output, and every output pairs to only one input. In a quadratic equation (an equation with a term to the second degree (exponent of (2)), half of the graph will form a one-to-one function. This is because when one has the full graph, for every output there are two inputs. However, with half of the graph, there is only one input for every output. Therefore, a function with a domain of all values less than the (x-coordinate) of the vertex will form a one-to-one function. The same conclusion can be drawn for any value greater than the (x-coordinate) of the vertex.

The given function is in vertex form. This means that one can find the vertex using the given information. The general format for the vertex form of a quadratic equation is as follows,

[tex]y=k(x-h)^2+k[/tex]

Where vertex is the following,

[tex](h,k)[/tex]

Applying this logic here, one can state that the vertex of the given equation ([tex]f(x)=(x-7)^2[/tex]) is as follows,

[tex](7, 0)[/tex]

Since the coefficient of this equation is positive (no coefficient means that it is (1)) outside of it, one can conclude that the graph of the equation is increasing after the (x) value of (7). Therefore, the function is one-to-one and increasing on the interval ([tex]x\geq 7\\[/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:

[tex]Width = 36in[/tex]

[tex]Size = 42.02[/tex]

Step-by-step explanation:

Given

[tex]x \to width[/tex]

[tex]y \to height[/tex]

[tex]x : y = 16 : 9[/tex]

Required

The size of [tex]screen[/tex] of height [tex]20,6in[/tex]

First, we calculate the width using the following equivalent ratios

[tex]16: 9 = x : 20.6[/tex]

Express as fraction

[tex]\frac{16}{ 9} = \frac{x }{ 20.6}[/tex]

Solve for x

[tex]x = 20.6 * \frac{16}{ 9}[/tex]

[tex]x = 36.62[/tex]

Hence:

[tex]Width = 36in[/tex] --- approximated

So, we have:

[tex]x = 36.62[/tex]

[tex]y =20.6[/tex]

The size (diagonal) is then calculated using:

[tex]Size = \sqrt{x^2 + y^2[/tex]

[tex]Size = \sqrt{36.62^2 + 20.6^2[/tex]

[tex]Size = \sqrt{1765.3844[/tex]

[tex]Size = 42.02[/tex]

[tex]Size =42in[/tex] --- approximated

Answer:

b

Step-by-step explanation:

h