Write the number in standard notation.5.8 × 10−3

We need to write an equation relating x (leg CD) to the given data.

The image shows the right triangle ACD, with legs, in ft, given by:

Also, angle DAC is 25.4º. Since CD is the opposite leg, and AC is the adjacent leg to this angle, we have:

Thus, option A is correct.

Also, we can multiply both sides of the above equation by 1600, to find the equivalent equation:

Thus, option C is also correct.

Notice that:

Therefore, only options A and C are correct.

Given that the buffet is to have 19 desserts for every 16 people.

Let's find the number of desserts they should have if they plan for 320 people.

19 desserts = 16 people

x desserts = 320 people

Therefore, we have:

Divide both sides by 16:

Thereore, they should have 380 desserts if they plan for 320 people.

ANSWER:

380 desserts

The linear equation that passes through (-2, 11) and (1, -4) is:

y = -5*x + 1

The general linear equation is:

y = a*x +b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through the points (-2, 11) and (1, -4), then the slope is:

a = (-4 - 11)/(1 + 2) = -15/3 = -5

y = -5*x + b

To find the value of b, we use one of the two given points, here i will use (1, -4), it gives:

-4 = -5*1 + b

-4 + 5 = b

1 = b

So the linear equation is:

y = -5*x + 1

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In order to determine the money Aisha need at the beginning, use the following formula for interest compound anually:

- Cf is the money obtained after n years = $800.00

- C is the initial amount of money = ?

- r is the annually rate interest = 4%

- n is the time = 2

Solve for C in the previous formula, and replace the values of the given parameters:

Then, Aisha will have to deposit $739.64

Therefore the answer is C.

Answer:

Since we are dividing by a negative number, we must reverse the inequality sign.

[tex] - 4x \leqslant 36[/tex]

[tex]x \geqslant - 9[/tex]

ANSWER :

0.529

EXPLANATION :

From the problem, Carl made 37 out of 70 free throws attempt.

Divide the number of free throws made by the total number of free throws attempt

When z = 9 and x = 4, and y = 360. then, with x = 4 and z = 9, we obtain the value of y = 600.

According to question, given that

x = 4, z = 9 , y = 360

The value of y varies jointly with the values of x and z then

Joint variation ⇒ y = k. x. z , where k is constant. In all cases when k ≠ 0

360 = k (4) (9)

360 = 36 k

k = 360/36

k = 10

y = k. x. z

y = 10 .x . z

when x = 5 and z = 12 then

y = 10 .x . z

y = 10 (5) (12)

y = 600

Therefore,  When x=4 and z=9, and the value of y is 360. then we get the value of y = 600, when x=4 and z=9 using joint variation.

Any number of issues involving rates, times, and work can be resolved rationally. Rational formulas include direct, inverse, and joint variation equations. In direct variation, the variables are directly related to one another; as one quantity rises, the other will as well.

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If a bus use 40 litres of fuel to travel 100km  27.2 liters fuel will be used on a journey of 68km​.

simplification to the amount of fuel needed-

Amount of fuel bus use to travel 100km = 40 liters

How much distance will travel with 1Liter of fuel  =

To find that  divide 100 by 40

That is total distance travelled by 40 liters of fuel

= 100/40 = 2.5

Bus will travel 2.5 km with 1L fuel.

The amount of fuel for 68KM = 68km /2.5km  = 27.2 Liter

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The number of cheeseburgers sold was three times the number of hamburgers sold then 79 hamburgers and 237 cheeseburgers were sold on Sunday.

Let h be the number of hamburgers

c be the number of cheeseburgers

A local hamburger shop sold a combined total of 316 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold.  

h + c = 316

c = 3h

h + 3h = 316

simplifying the above equation, we get

⇒ 4h = 316

Dividing both sides of the equation by 4, we get

⇒ 4h / 4 = 316 / 4

⇒ h = 79

Therefore, hamburgers were sold on Saturday is 79.

The number of cheeseburgers sold was three times the number of hamburgers sold then

c = 3h

substitute the value of h in the above equation, we get

⇒ c = 237

Therefore, 79 hamburgers and 237 cheeseburgers were sold on Sunday.

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The value of cos (A - B) will be 33/65.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

cos A = 24/25

And, sin B = 63/65

Now,

cos (A - B) = cos A cos B + sin A sin B

Since, cos A = 24/25

So, sin A = 7/25

And, sin B = 63/65

So, cos B = 16/65

Substitute all the values, we get;

cos (A - B) = cos A cos B + sin A sin B

               = 24/25 x 16/65 + 7/25 x 63/65

              = 384/1625 + 441 / 1625

              = 825 / 1625

              = 33/65

Thus, The value of cos (A - B) will be 33/65.

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The total amount of security deposits and other deposits received by or on behalf of the Obligors and retained by their originators and affiliates as of any date is referred to as the Deposit Balance (or any agent thereof on their behalf).

The written checks would be deducted from the balance and the paycheck would be added to it. Hand-doing the math for the realistic quantities in the question would take a lot of time, but the values may be typed into the calculator in a single continuous string as they are shown in the equation.

New Balance Deposited = Old Balance + Paycheck deposited - Check written  

New Balance = 1219.17 + 2425.66 + 235.89 - 418.37.

New Balance = 2140.57 .

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The equations given are,

Isolate 'x' in equation 1

Substitute 'x' is equal to (5-8y)/2 into equation 2

Substitute y = 3/4 into equation 3 and solve for x

Hence,

To find how much di the stock gain or lose in value after 5 days, we just have to sum the values of the Gain/Loss column from the first row to the fifth one, like this:

Total gain or loss = -2.25 + (-1.5) + 1.25 + (-0.75) + 2.25 = -1

Then, the stock lose $1 in value ($-1)

Since:

(8,3200) is a viable point

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

Since w is the number of copies of the school newsletter, the values of w must be whole numbers

Answer: bot eleum got it right

Step-by-step explanation:

Answer

Angle A = 19°

Explanation

Vertical angles are angles that are directly opposite each other at a point where two lines intersect or cross each other. Vertical angles are known to be equal to each other.

So, Angle A = Angle B

Angle A = 3x + 13

Angle B = 5x + 9

3x + 13 = 5x + 9

We can rewrite this as

5x + 9 = 3x + 13

5x - 3x = 13 - 9

2x = 4

Divide both sides by 2

(2x/2) = (4/2)

x = 2

Angle A = 3x + 13 = 3(2) + 13 = 6 + 13 = 19°

Hope this Helps!!!

F(x) = K• (b)^x

then find K, and b

6 = K• (b^0) = K

also

42= K•(b^1) = K• b

then

b= 42/K= 42/6= 7

Then answer formula is

F (x) = K• (b)^x

. = 6• (7^x)

The given expression is a quadratic expression. We would simplify by applying the factorisation method. We would determine two numbers whos sum or difference is 12 and whose product is - 28. These numbers are 14 and - 2. It becomes

The correct options are

A) (7x - 2)

B) ((x + 2)

Answer: The option is true.

Step-by-step explanation:

The value of x is greater than '-3' and less than '7'. And, the only option C is showing the interval rightly. In interval notation, we'll write it in small brackets like:

 (-3,7)

Answer:

196 = y

Step-by-step explanation:

If o is 140, the value of y is what? 28 ✕ o = 20 ✕ y

28 ✕ o = 20 ✕ y

28 ✕ 140 = 20 ✕ y

3,920 = 20✕ y

right side: 20 is multiplied by y and can be written back to back:

3,920 = 20y

divide both sides by 20:

3,920/20 = 20y/20

196 = y

First we need to look at the change of signal of the function (it changes from √x to -√x).

This change of signal means the function was reflected over the x-axis.

Then, the value of -3 was added to the function.

An addition of -3 in the function means a translation of 3 units down.

So the transformations from m(x) to p(x) are:

A reflection over the x-axis followed by a translation of 3 units down.

Solution:

We are required to determine which of the events given in the options are NOT independent?

Note: Not independent in another words means dependent.

Thus, the question is asking us to pick the option that is dependent.

Firstly, let us look at what dependent events are.

Events are dependent if the outcome of one event affects the outcome of another. For example, if you draw two colored balls from a bag and the first ball is not replaced before you draw the second ball then the outcome of the second draw will be affected by the outcome of the first draw.

Now that we understand what dependent events are, let us use that knowledge to select the correct option

(1) A coin is tossed twice in a row.

The outcome of the second throw is not affected by the first throw. Thus, these events are independent

(2) A red jelly bean is taken from one jar and a yellow jelly bean is taken from another jar:

The outcome of the yellow jelly bean taken from one jar is not affected by A red jelly bean is taken from another jar. Thus, these events are independent

(3) A card is drawn from a standard deck, and then another card is drawn without the first one being replaced.

Since the first card drawn is not replaced, the other cards drawn will be dependent on the type of card drawn in the first draw. Thus, these events are dependent

(4) A bag contains 2 red marbles, 5 blue marbles, and 3 green marbles. A marble is picked and then placed back in the bag. Then another marble is picked.

Since the first marble picked is replaced before picking the second one, the second draw will not be affected by the first draw. Hence, these events are independent

Conclusion:

The correct answer is the third option. That is "A card is drawn from a standard deck, and then another card is drawn without the first one being replaced"

Answer:

your answer is C

Step-by-step explanation:

by elimination B is not possible as the graph shows a cubic shape B has no cubic terms, D is not possible because the graph shows a translation on X axis and D represents a translation in Y axis, and A is not possible because when X=0 the value of Y must be -64 and A doesn't comply to that.

Answer:

C

Step-by-step explanation:

the graph has 3 zero solutions (values of x with y = 0).

therefore it has to be of 3rd degree (3 is the max. exponent of x).

that eliminates B, because it is only of 2nd degree.

when x = 0, y is a little bit below -60 but above -80.

but y is negative.

that eliminates A, because when x = 0, y = +64.

for x = -8, y has to be 0 too.

that eliminates D, because for x = -8, y = -8³ - 64 = -512 - 64 = -576

and not 0.

so, C must be correct.

for x = 0, y = -64

for x = -8, y = -8³ + 6×-8² - 24×-8 - 64 =

= -512 + 6×64 + 192 - 64 =

= -512 + 384 + 192 - 64 = 0

for x = -2, y = -2³ + 6×-2² - 24×-2 - 64 =

= -8 + 6×4 + 48 - 64 =

= -8 + 24 + 48 - 64 = 0

for x = 4, y = 4³ + 6×4² - 24×4 - 64 =

= 64 + 6×16 - 96 - 64 =

= 64 + 96 - 96 - 64 = 0

all fits.

The distance between the points where the points are given as [tex](5\frac 78, -\frac 12)[/tex] and [tex](9\frac 34, -\frac 12)[/tex] is 3.875 units

The points are given as

[tex](5\frac 78, -\frac 12)[/tex] and [tex](9\frac 34, -\frac 12)[/tex]

The distance between the points is calculated as

d  = √(x₁ - x₂)² + (y₁ - y₂)²

Where x and y are the coordinate points and d is the distance

Substitute the known values in the above equation

So, we have

[tex]d = \sqrt{(5\frac 78 - 9\frac 34)\² + (-1/2 + 1/2)\²[/tex]

Evaluate the sum in the above equation

So, we have

[tex]d = \sqrt{(5\frac 78 - 9\frac 34)\²[/tex]

Evaluate the exponents in the above equation

So, we have

[tex]d = (-5\frac 78 + 9\frac 34)[/tex]

Evaluate the difference  in the above equation

So, we have

d  = 3.875

Hence, the distance between the points is 3.875 units

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Answer: x^2+4x-45

Step-by-step explanation:

Multiply (x-5)(x+9)

Using the FOIL Method.

Multiply

x and x

x and -5

x and 9

-5 and 9

You should get x^2-5x+9x-45

Subtract -5x and 9 and you get your answer

x^2+4x-45

Since the lines a and b are parallel, the corresponding angles <1 and <5 are congruent, therefore angle <5 measures 80°.

Angles <6 and <7 are supplementary angles to angle <5, so we have:

So the sum of <6 and <7 is:

Therefore the answer is 200.

Answer:

the answer to your question is that of 17 1/4

The value of x in the equation is 4

Algebraic expressions are seen as expressions that consist of factors, variables, terms, coefficients, and certain constants.

These expressions are also known to be composed of some arithmetic operations, which includes;

Given the expression;

(2x-4)^2=16

√(2x-4)^2 = 16

Find the square root of the expression, we have;

√(2x -4)^2= √16

Find the values

2x - 4 = 4

collect like terms

2x = 4 + 4

Add like terms

2x = 8

Make 'x' the subject of formula

x = 8/2

x = 4

Hence, the value is 4

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Given:

The scale is 15 ft = 1 in

Height = 80 ft

Length = 200 ft

Find-:

The required dimensions of the paper

Explanation-:

The scale is:

The required dimension of paper is:

The length is:

So the demission is height 5.33 in and length 13.33 in

The sheet demission is

So, Adoncia's drawing will not fit on the sheet of paper.