Which of the following are true statemetns about a 30-60-90 triangle?

I think it is a and b but I'm not sure

Answer:

48

Step-by-step explanation:

[tex] y = \frac{96}{2} = 48 \\ [/tex]

Answer:

The right answer for the question that is being asked and shown above is that: "f(x), because an increasing exponential function will always exceeds an increasing quadratic function until their graphs intersect."  The points of f(x) compared to g(x) is more increasing.

hope this help

The graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

A quadratic function is the function in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic function is,

f(x)=ax²+bx+c

Here,(a,b, c) is the real numbers and (x) is the variable.

Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.

An increasing exponential function is eventually exceed an increasing quadratic function.

Thus, the graph which most likely represents the quadratic function is f(x), because an increasing exponential function will eventually exceed an increasing quadratic function.

Learn more about the quadratic Function here;

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[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2250\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=2250(1-0.35)^3\implies A=2250(0.65)^3\implies A\approx 617.91[/tex]

Answer:

D. 68%

Step-by-step explanation:

The following statistics are given;

sample mean = 47%

s = 5% ; the sample standard deviation

n = 625 ; the sample size

The confidence interval for a population mean is given as;

sample mean ± z-score*[tex]\frac{s}{\sqrt{n} }[/tex]

Substituting the above values we have;

47 ± z-score*[tex]\frac{5}{\sqrt{625} }[/tex]

47 ± z-score*0.2

The confidence interval has been given as;

lower limit = 46.8%

upper limit = 47.2%

We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;

47 - z-score*0.2 = 46.8

-z-score*0.2 = 46.8 - 47

-z-score*0.2 = -0.2

z-score = 1

The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.

Pr( -1<Z<1 ) = 0.68 = 68%

From the Empirical rule

Answer:D. 68

Step-by-step explanation:

Answer:

the solution is (5, -6)

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = -1 (meaning that either x or y is negative), and x - y = 11.

Solve the system:

x + y = -1

x - y = 11

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

2x    = 10, or x = 5.  If x = 5, then x - y = 11 becomes 5 - y = 11, or y = -6.

Then the solution is (5, -6).

Is the sum of 5 and -6 equal to -1?  YES.

If -6 is subtracted from +5, is the difference 11?  Yes.

Final answer:

The two numbers in the system of equations are 5 and -6. By adding the equations x + y = -1 and x - y = 11, we find x = 5, and substituting back, we find y = -6.

Explanation:

Let's define the two unknown numbers as x and y. According to the question, we have two equations. The first one, x + y = -1, tells us the sum of the two numbers is -1. The second one, x - y = 11, tells us the difference between the two numbers is 11.

To solve this system of linear equations, we can use the method of substitution or elimination. However, adding both equations is the simplest approach here:

Adding both equations, we get:

2x = 10

Now we can solve for x by dividing both sides by 2:

x = 5

Substituting the value of x into one of the original equations to find y:

5 + y = -1

Solving for y gives us:

y = -1 - 5

y = -6

So the two numbers are 5 and -6.

Have you found the answer to this??

Answer:

[tex]cos(30)= \frac{4}{x}[/tex]

Step-by-step explanation:

WE use the given triangle to solve for x

Given triangle is right angle triangle , so we use trigonometric rations

WE know

sin = opposite side / hypotenuse

cos = adjacent side / hypotenuse

tan= opposite side / adjacent side

For angle 30 degree, the hypotenuse is x

adjacent side have side length 4

we know the hypotenuse and adjacent side so we use cos

[tex]cos(30)= \frac{adjacent}{hypotenuse}[/tex]

[tex]cos(30)= \frac{4}{x}[/tex]

Answer:

A. 4.5%; November 25

Step-by-step explanation:

4.5/10 EOM is a type of payment term you will see on an invoice. The 4.5 stands for discount percentage and the 10 is a number of days. 4.5/10 means the payment on the invoice is due in 10 days. EOM stands for end of the month. So if the amount is paid within 10 days, the customer gets a discount of 4.5%. Which means the last day to pay in full is November 25. After that there is no discount.

<---------------------------||----------------------------------------->

           A                                         B

          50 mph                               60 mph

so let's recall that d = rt, distance = rate * time.

both cars start out at the same time, say "t" hours.

after "t" hours car A has covered say "d" miles, since there's a total of 1320, then car B must surely had covered the slack, or 1320 - d.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ A&d&50&t\\ B&1320-d&60&t \end{array}\qquad \implies \begin{cases} ~\hfill \boxed{d}=50t\\ 1320-d=60t \end{cases} \\\\\\ 1320-\boxed{50t}=60t\implies 1320=110t\implies \cfrac{1320}{110}=t\implies 12=t[/tex]

Answer:

[tex]f(x)=\frac{1}{2}x-1[/tex]

Step-by-step explanation:

The equation of the graph can be obtained using the formula:

[tex]\frac{x}{x-intercept}+\frac{y}{y-intercept}=1[/tex]

From the graph, the y-intercept is -1 and the x-intercept is 2

We substitute these values to get:

[tex]\frac{x}{2}+\frac{y}{-1}=1[/tex]

[tex]\frac{x}{2}-y=1[/tex]

This implies that;

[tex]\frac{x}{2}-1=y[/tex]

Or

[tex]y=\frac{1}{2}x-1[/tex]

The function notation is

[tex]f(x)=\frac{1}{2}x-1[/tex]

Answer:

Option B. $10.00

Step-by-step explanation:

Market value of a mutual fund = $40,000,000

Total outstanding shares = 4,000,000  

To find out per share value we use this formula  

[tex]\frac{\text{Market value of the shares}}{\text{total number of shares}}[/tex]

[tex]\frac{40,000,000}{4,000,000}[/tex]  = $10/share

The value of per share is $10.00

Answer: the difference in yearly median income for a female vs male at a masters degree level is

$15,642.90/year

Step-by-step explanation:

there are roughly 52.143 week in a year.

the median weekly income for a female with a masters degree is : $901.00

the median weekly income for a male with a masters degree is :

$1,201

so if you multiply $901 x 52.143 you get :

$46,980.84, which is what a female makes in a year with a md

and if you multiply $1,201 x 52.143 you get :

$62,623.74, which is what a male makes in a year with a md

subtract $62,623.74 - $46,980.84 you get :

$15,642.90 / year

Final answer:

The difference in yearly median income for a female versus male at a master's degree level is $89,804.

Explanation:

The difference in yearly median income for a female versus male at a master's degree level is $2,951 per week. To find the yearly difference, we can multiply this average by 52 weeks, which equals $153,452 per year.

Comparing this to the median yearly earnings for a full-time worker over 25 with no higher than a bachelor's degree, which is $63,648, we can see that having a master's degree more than doubles the earning potential.

Therefore, the difference in yearly median income for a female versus male at a master's degree level is approximately $89,804.

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

              L      *      % juice    =         %L

That is the main set up for the table.  We will put in values for the percent juice right away, because they were given to us.  Remember that percentages need to be expressed as decimals in order to use them in equations.

              L     *       % juice       =        %L

15%                          .15

10%                          .10

___________________________________

13%                           .13

Easy enough so far.  We know that the 15% juice canned juice contains 15% juice.  No secrets there at all.  We also made a row for the mixture that needs to be 13% juice.  Next we know that the total amount of the mixture has to be 5 liters.  If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice.  Filling in we have:

             L      *      % juice       =       %L

15%        x                   .15

10%      5 - x                .10

______________________________

13%         5                   .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

             L      *      % juice      =       %L

15%        x     *          .15           =      .15x

10%      5-x    *          .10          =     .10(5 - x)

__________________________________

13%         5      *        .13           =     .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

The question is to determine the volumes of two types of orange juice with different concentration percentages required to mix to get another juice with a specified concentration. Using the concept of weighted averages, a mathematical equation can be set up and solved to get the desired volumes.

To solve this problem, we'll use the concept of weighted averages in mathematics. The method is to set up an equation based on the volume and percentage of orange juice. We'd consider the volume of the 15% juice as 'x' liters and that of the 10% juice as '5 - x' liters (since the total volume must be 5 liters).

The equation would be: 0.15x + 0.10(5 - x) = 0.13 * 5

Solving this equation gives the volume of the 15% juice (x) and 5 - x gives the volume of the 10% juice.

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Answer:

Step-by-step explanation:

To start with a = 12 (given)

Tan(50) = b / 12

Tan(50) = 1.192

1.192 = b / 12             Multiply both sides by 12

1.192 * 12 = b

b = 14.301

=================

Cos(50) = 12/c

Cos(50) = 0.4628

0.4628 = 12 / c                 Multiply both sides by c

0.4628 * c = 12                 Divide by 0.4628

c = 12/ 0.4628

c = 18.67

ANSWER

C. II, III

EXPLANATION

The secant ratio is negative in the second and third quadrants but positive in the first and fourth quadrants.

The given secant ratio is

[tex] \sec(x) = - 2 = - \frac{2}{1} [/tex]

Since the secant ratio is negative, its solution must lie in the third and second quadrant.

The correct answer is C

Answer:

A. José, Huang, Sam

Explanation:

José’s time is faster than the oldest boy, so he came in 1st or 2nd. It is given that José did not come in second, so he came in first. The remaining places are second and third. It is stated that Huang did not come in third, so Huang came second and Sam came third. The order is José, Huang, and then Sam.

A. josé ,Huang ,Sam

For this case we have that by definition, the point-slope equation is of the form:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passes

We find the slope of the line according to the given points:

[tex](x1, y1) :( 7, -21)\\(x2, y2): (- 4,23)[/tex]

[tex]m = \frac {y2-y1} {x2-x1} = \frac {23 - (- 21)} {- 4-7} = \frac {44} {- 11} = - 4[/tex]

So:

[tex]m = -4\\(x_ {0}, y_ {0}) :( 7, -21)[/tex]

Substituting:

[tex]y - (- 21) = - 4 (x-7)\\y + 21 = -4x + 28[/tex]

Answer:

[tex]y + 21 = -4x + 28[/tex]

Answer:

y = - 4x + 28

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)

m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4

Using m = - 4 and (a, b ) = (7, - 21), then

y + 21 = - 4(x - 7) ← in point- slope form

Distribute right side and simplify

y + 21 = - 4x + 28 ← in slope- intercept form

Answer:

90 maube

Step-by-step explanation:

Answer:

  B)  6.9 cm

Step-by-step explanation:

The remaining angle is the smallest, 180° -48° -97° = 35°. The shortest side is opposite this angle. The Law of Sines tells you its length is ...

  short side = (longest side)·(sin(smallest angle)/sin(largest angle))

  = (12 cm)sin(35°)/sin(97°) ≈ 6.9 cm

The shortest side is about 6.9 cm.

Answer:

Step-by-step explanation:

The study doesn't prove any causation.  The only conclusion is that people with lower cholesterol levels are more likely to eat blueberries.

Answer:

There may be a correlation between eating blueberries and a lower cholesterol level.

Step-by-step explanation:

An organization of berry farmers releases a study reporting that people who eat blueberries every day have a lower cholesterol level.

The statement that describes the best conclusion to draw from the study is :

I would say that the study reveals that there may be a correlation between eating blueberries and a lower cholesterol level.

I think the answer should be 6,I just added the two fractions

Answer:

f(x) = 2x+3

g(x) = 1/x^2

Step-by-step explanation:

There are many ways you can write the given expression as a function of a function. In general, you want to think about the operations that are performed on the variable, then consider which operations might be performed first, and what operations might be performed on the results of the first ones.

When the given expression is evaluated, you ...

• square the variable

• divide 2 by the result

• add 3 to that result

It is reasonable to divide this list into two parts, then make one function do one part of the list and the other function do the other part.

In our selection of f() and g() above, we have chosen to make g(x) be ...

• square the variable

• find the reciprocal of that result

and we have defined f(x) to be

• multiply that result by 2

• add 3.

__

You will note that multiplying the reciprocal by 2 is the same as dividing 2 by the result.

_____

Our f(x) and g(x) are ...

g(x) = 1/x^2

f(x) = 2x +3

Answer:

Step-by-step explanation:

B.

There is a 100% chance that the event will occur.

There is a 100% chance that the event will occur is the correct answer.

Think that you have 6 blue balls in a bags what is the odd of you getting a blue ball when you take one out of the bag?

6/6 easy right.

What does 6/6 equal to?

1 that means if something has a probability of 1 it will always happen

if something has a probability of 0 it is impossible

64x^4+1408x^3+11616x^2+ 42592x+ 58549

Answer:

Valid

Step-by-step explanation:

If you draw a square with a side length of 3, that means all the other sides are also 3. So, we can conclude that the area is 9, and that is valid.

Hope... yeah you know the drill.

I'm STILL gonna copyright it.

Copyright Potato 2019.

if the amount doubles, that means the rate of change is 100%, whatever the current amount + 100% of that amount, so it doubles, rate of increase is 100%.

[tex]\bf \textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2808\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1.0\\ t=\textit{elapsed time}\dotfill &8\\ c=period\to &10 \end{cases} \\\\\\ A=2808(1 + 1)^{\frac{8}{10}}\implies A=2808(2)^{\frac{4}{5}}\\\\\\ A\approx 2808(1.74)\implies A\approx 4889[/tex]

Answer:

c

Step-by-step explanation:

The equation which represents the total distance is x + 20 = 120. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick is driving to his uncle's house in Greenville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away.

The expression will be written as,

x + 20 = 120

Therefore, the equation which represents the total distance is x + 20 = 120. The correct option is C.

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Hello There!

1 bag = 3.5 cups, then 8 bags = 8 x 3.5 = 28 cups of trail mix

28 cups/12 people = 2.33 cups/person

Answer:202.5 ft

Step-by-step explanation: 1 pace is 2.5 feet so 81 paces are 202.5 feet

Answer:

The answer is C.

Step-by-step explanation:

1/2 x 4/1 = ?

We begin by multiplying the numerators:

1 x 4 = 4

And then we multiply the denominators:

2 x 1 = 2

The answer has a numerator of 4 and a denominator of 2. In other words:

1 x 4/2 x 1 =4/2

This fraction can be reduced to lowest terms:

4 ÷ 2/2 ÷ 2 =2/1 = 2

ANSWER

[tex]f(1) = - 34[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

[tex]f(1) = - 34[/tex]

The common difference is

[tex]d = 5 - - 8[/tex]

[tex]d = 5 + 8 = 13[/tex]

The recursive definition is given by;

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

for n=2,3,4,...

Answer:

I just took the test and got it right.

Step-by-step explanation: