What is the approximate area of the triangle?

A)12.5
B)18
C)21.5
D)31

Answer:

The quantity of the first model is 150 and the second model is 100 that maximize the profit.

Step-by-step explanation:

Let the quantity of first model = x

Let the quantity of second model = y

The cost of the first model = $100

The cost of the second model = $150

Total number of models = 250 units

Total amount to spend on units = $30000

Now form the equations.

x  +  y  = 250

100x + 150y = 30000

Now solve for the x and y.

x = 250 – y

Now insert this value in the 100x + 150y = 30000.

100(250 –y) + 150y = 30000

25000 – 100y + 150y = 30000

50y = 30000 – 25000

50y = 5000

Y = 100

Now insert the Y in x + y = 250

x = 250 – y

x = 250 – 100

x = 150

Therefore, the first model is 150 units and the second model is 100 units that maximize the profit.

Answer:

the answer should be c

you move the 5 to the radical then put the 2 i under it then get rid of the i

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Step 1: Use Cosine to find ∅

Cos∅=[tex]\frac{4}{5}[/tex]

∅=Cos[tex]^{-1}[/tex]([tex]\frac{4}{5}[/tex])

Therefore the answer is A

Answer: a constant

Step-by-step explanation:

A constant is a numerical expression like 2, 0,78 etc .

A variable is a alphabetical expression that vary like a,b,c,d,x,y,z.

An expression can consists of both numerical and alphabets and also any arithmetic expression like x, 2abc, 6a+2c etc

A term consist of either numbers and variables multiplied together or only numbers or variable like 2xy, x, 2ab etc.

X is all (a term, a variable , an expression) except a constant because a constant is a numerical expression.

Answer: D, a constant

Step-by-step explanation: A constant is an expression without variables.

Answer:

1

Step-by-step explanation:

i²⁵⁶ is the equivalent of (i²)¹²⁸.

(i²)¹²⁸ = (-1)¹²⁸ = 1.

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]i^{256}[/tex]

[tex](i^4)^{64}[/tex]

Apply identity : [tex]i^4 =1[/tex]

[tex]1^{64}=1[/tex]

Answer:

Should be 10- (-2) lemme know if im wrong

Step-by-step explanation:

The answer is 10-(-2)

2 answers:

B) integer

C) Rational

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

The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}

We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.

Because it's rational, it cannot be irrational.

The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.

Answer:

It will have no solution.

Step-by-step explanation:

If this will be solved algebrically , then the the variables will get cancelled .... If this will be solved graphically , then the graphs of both eqns will be parallel to each other....

Answer:

there is no solution

Step-by-step explanation:

4x-1=4x+7

4x - 1 - 4x = 4x + 7 - 4x

-1 = 7

there is no solution .

Answer:

See below

Step-by-step explanation:

a) line marked a is tangent

b) line marked b is radius

c) line marked c is diameter

d) line marked d is chord

Answer:

Cups of water she needs to make the punch is 12.

Step-by-step explanation:

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups which equals 12 cups.

So it is 12 cups.

Cups of water she needs to make the punch is 12.

A unit conversion expresses the same property as a different unit of measurement.

Given that, Carson needs 3 quarts of water to make fruit punch, but has only an l-cup measuring cup.

She knows there are 2 cups in 1 pint, and 2 pints in 1 quart.

Amount of water Carson need to make fruit punch = 3 quarts

2 cups is 1 pint

2  pints is 1 quart

1 pint = 1/2 quarts

2 cups is 1 pint which is 1/2 quarts

So, 1 cup:

1 cup is 1/2 times 2 quarts

1 quart is 1 times 2 times 2 cups equals 4 cups

So, 3 quarts equals 3 times 4 cups, which equals 12 cups.

Hence, she need 12 cups.

For more references on unit conversion, click;

https://brainly.com/question/19420601

#SPJ2

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 90 inches

The statement

The length of a rectangle is five inches more than four times it’s width is written as

l = 5 + 4w

Substitute this expression into the above formula and solve for the width

That's

90 = 2(5 + 4w) + 2w

90 = 10 + 8w + 2w

10w = 90 - 10

10w = 80

Divide both sides by 10

w = 8

Substitute this value into l = 5 + 4w

That's

l = 5 + 4(8)

l = 5 + 32

l = 37

Therefore we have

Hope this helps you

Answer:

His total pay= $4,630

Step-by-step explanation:

Larry pickett earns:

commission=6% on all sales

He also received a $700 bonuses if his commission exceeds $3000

His total sales were 65500 what was Total pay

Commission= 6% of all sales $65,500

=6/100 × 65,500

=0.06 × 65,500

=3,930

His commission =$3,930

His commission exceeds $3000

Therefore,

His Total pay= Commission + bonus of $700 if his commission exceeds $3,000

=3,930 + 700

=4,630

His total pay= $4,630

Answer:

Linear relationship.

Step-by-step explanation:

Given that:

Cleansing solution 1 uses 1 part of vinegar with 2 parts water.

Ratio of vinegar to water = 1:2

Cleansing solution 2 uses 2 part of vinegar with 3 parts water.

Ratio of vinegar to water = 2:3

As per a student, the relationship is proportional.

First of all, let us learn about a proportional relationship.

A proportional relationship is the relationship in which the ratios are equal.

OR

In other words, one variable is always a constant value times higher than the other variable.

Here, we have the ratios as 1:2 and 2:3.

One ratio is 0.5 and other ratio is 0.67 which are not equal.

So, it is not proportional relationship.

As we see there is difference of 1 in each ratio.

i.e. Difference in First solution = 2 - 1 = 1

Difference in Second solution = 3 - 2 = 1

So, there is only a constant value change([tex]y = x+c[/tex])  in the other variable when one variable changes by 1.

So, it can be called Linear relationship and this constant is 1.

The equation can be represented as.

[tex]y = x+1[/tex]

where [tex]y[/tex] represents the parts of water in the solution and

[tex]x[/tex] represents the parts of vinegar in the solution.

The domain is the input value of x, which can be any real number.

There is no inequality.

Set notation x | E R. ( all real nUmbers)

Interval. Oration (-infinity, infinity)

Range: set x to 0 and solve:

3(0)^2 + 2 = 2

The lowest value is 2 and goes to infinity.

Inequality is >=

Set notation Y | >= 2

Interval notation : [2, infinity)

End behavior they both go to infinity .

Answer:

y = 2( x-3)^2 +5

Step-by-step explanation:

The vertex form of a parabolic functions is

y = a( x-h)^2 +k

where (h,k) is the vertex

y = a( x-3)^2 +5

Substituting the point into the equation

13 = a( 1-3)^2 +5

13 = a*( -2)^2 +5

13 = 4a +5

Subtract 5

8 = 4a

Divide by 4

8/4 =a

2=a

y = 2( x-3)^2 +5

Answer:

D. 15x10^20

Step-by-step explanation:

The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.

Answer:

Hey there!

e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.

Let me know if this helps :)

Answer:2y

Step-by-step explanation:

!!!

Answer:

Answer: h(x) = 1/5x

Step-by-step explanation:

6x + y = 4x + 11y

    -y            -y  

6x       = 4x + 10y

-4x        -4x        

2x       =         10y

÷10               ÷10  

1/5x =     y

Since "y" represents h(x), then h(x) =

Step-by-step explanation:

la 6 es la mejor rspuesta

Answer:

-2

Step-by-step explanation:

3( x+ 2)=2(x+2)​

=>3x+6=2x+4

=>3x-2x=4-6

=>x=-2

-2  is the value of x

Answer:

The answer is

Step-by-step explanation:

3( x+ 2)=2(x+2)

First expand the terms in the bracket

That's

3x + 6 = 2x + 4

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

3x - 2x = 4 - 6

Simplify

We have the final answer as

Hope this helps you

Your question has been heard loud and clear.

2x^2+5x-3=0

Splitting the middle term (5x) we get , -1x+6x

So , 2x^2-1x+6x-3=0

2x^2-1x+6x-3=0

(2x^2-1x)+(6x-3)=0

taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get

x(2x-1)+3(2x-1)=0

So , solution that we get is

(x+3)   and  (2x-1)  

Thank you.

Step-by-step explanation:

2x^2+5x-3=0.

which will be 2x^2+2x+3x-3=0.

2x(x+1)+3(x+1)=0.

2x+3=0,x+1=0.

x=-3/2,x=-1..

I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question

Answer:

[tex]\huge \boxed{8\sqrt{3}}[/tex]

Step-by-step explanation:

[tex]2\sqrt{48}[/tex]

Simplify [tex]\sqrt{48}[/tex].

[tex]2\sqrt{16} \sqrt{3}[/tex]

[tex]\sqrt{16}=4[/tex]

[tex]2 \times 4\sqrt{3}[/tex]

Apply rule : [tex]a \times b\sqrt{c} =ab\sqrt{c}[/tex]

[tex]8\sqrt{3}[/tex]

Answer:

The government paid an interest of $41.9, which is 4.19%

Step-by-step explanation:

Given the 189-day, $1,000 U.S Treasury bill is purchased at a discount of 4.19%, this means that:

It was purchased at a discount of:

4.19% of $1000

= (4.19/100) × 1000

= $41.9

Purchase price = $1000 - $41.9 = $958.1

Because the treasure is sold for $1000 on maturity day, that means the government paid an interest of $41.9, which is 4.19%

Answer:

The correct option is;

69 cm

Step-by-step explanation:

The z-score, or standard score is a measure of how far a data is from the mean

The z-score, is given by the relation;

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

Z = Standard score

x = Value observed

μ = The mean height of the plants = 52.5 cm

σ = Standard deviation = 7.2 cm

Given that the z-score = 2.25, we have;

[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]

Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm

Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.

Answer:

B

Step-by-step explanation:

seeing input/ output boxes= function

y is proportional to some constant (k)(constant of proportionality) times x

y=kx

y=0.9(x)

plug and chug...

4(.9)=3.6

6(.9)= 5.4

12(.9)= 10.8

Answer: Hi!

The equation given is 5.29 * 10^4.

First, we need to solve the exponent.

10^4 = 10,000

Next, we multiply 10,000 by 5.29.

10,000 * 5.29 = 52,900

Therefore, your answer is a), 52,900.

Hope this helps!

Answer:

A.

Step-by-step explanation:

It is 5.29 x 10,000

= 52,900.

Answer:

C) Both

Step-by-step explanation:

The given equation is:

[tex]0=(3x+2)(x-4)[/tex]

To solve the given equation, we can use the Zero Product Property according to which if the product A.B = 0, then either A = 0 OR B = 0.

Using this property:

[tex](3x+2) = 0 \Rightarrow \bold{x = -\frac{2}{3}}\\(x-4) = 0 \Rightarrow \bold{x = 4}[/tex]

So, Erik's solution strategy would work.

Now, let us discuss about Caleb's solution strategy:

Multiply [tex](3x+2)(x-4)[/tex] i.e. [tex]3x^2-12x+2x-8[/tex] = [tex]3x^2-10x-8[/tex]

So, the equation becomes:

[tex]0=3x^2-10x-8[/tex]

Comparing this equation to standard quadratic equation:

[tex]ax^2+bx+c=0[/tex]

a = 3, b = -10, c = -8

So, this can be solved using the quadratic formula.

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(-10)\pm\sqrt{(-10)^2-4\times3 \times (-8)}}{2\times 3}\\x=\dfrac{-(-10)\pm\sqrt{196}}{6}\\x=\dfrac{10\pm14}{6} \\\Rightarrow x= 4, -\dfrac{2}{3}[/tex]

The answer is same from both the approaches.

So, the correct answer is:

C) Both

Answer:

Both

Step-by-step explanation:

Answer:

y = -x + 10

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (11 - 9)/(-1 - 1)

m = 2/-2

m = -1

y = -x + b

Step 2: Find y-intercept b

9 = -(1) + b

9 = -1 + b

b = 10

Step 3: Rewrite linear equation

y = -x + 10

Answer:

[tex]y=\frac{5}{3}x-5[/tex]

Step-by-step explanation:

Slope-intercept:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept. We know that the line passes through the y-axis at -5, so this is the y-intercept (where x is equal to 0). Insert this into the equation:

[tex]y=mx-5[/tex]

With the given information, we can form two points:

[tex](3,0)(0,-5)[/tex]

The first one is the x-intercept and the second the y-intercept. Use these to find the slope:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis, otherwise known as the slope. Insert the appropriate values:

[tex](3_{x1},0_{y1})\\(0_{x2},-5_{y2})\\\\\frac{-5-0}{0-3}[/tex]

Solve:

[tex]\frac{-5-0}{0-3}=\frac{-5}{-3}[/tex]

Note that both the numerator and denominator are negatives. Two negatives make a positive, so:

[tex]\frac{5}{3}[/tex]

The slope is [tex]\frac{5}{3}[/tex]

Insert into the equation:

[tex]y=\frac{5}{3}x-5[/tex]

:Done

Answer

the second value is ten times higher then the refference one

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

Answer:

2 in 32000 is in the thousands place

2 in 26000 is in the ten thousands place

Step-by-step explanation: