What is the solution to the system of linear equations graphed below?

Answer:

Base = 4 m

Height = 8 m

Step-by-step explanation:

For triangle:

[tex]Base\: (b) = x^{\frac{1}{2}}\: m\\\\Height \:(h) = x^{\frac{3}{4}}\: m\\\\ A(\triangle)= 16\:m^2\\\\A(\triangle)= {\frac{1}{2}}(b)(h)\\\\\implies 16=\frac{1}{2}(x^{\frac{1}{2}})(x^{\frac{3}{4}})\\\\\implies 32= (x^{\frac{2}{4}})(x^{\frac{3}{4}})\\\\\implies 2^5=x^{\frac{3+2}{4}}\\\\\implies 2^5=x^{\frac{5}{4}}\\\\\implies 2=x^{\frac{1}{4}}\\\\\implies 2^4=x\\\\\implies x=16\:m[/tex]

[tex]Base\: (b) = x^{\frac{1}{2}}={16}^{\frac{1}{2}}={(4^2)}^{\frac{1}{2}}=4\: m[/tex]

[tex] Height\: (h) = x^{\frac{3}{4}}={16}^{\frac{3}{4}}={(2^4)}^{\frac{3}{4}}=(2)^3=8\: m[/tex]

Answer:

Slope: 1

Y-Intercept: 3

Equation of the line: y=x+3

Step-by-step explanation:

1. Slope

Get two random points (eg. 0,3; -3,0)

x1-x2/y1-y2

0-(-3)/3-0

0+3/3

3/3=1

2. Y-intercept

The value of x when y=0

3. Equation of the line

y= mx+b

m= slope

b= y-intercept

y=1x+3

y=x+3

Answer:

150in²

Step-by-step explanation:

area of traingle = (base x height)/2

here base = 25in and height = 12in

therefore area = (25 x 12)/2

150in²

Answer:

150in2

Step-by-step explanation:

The Formula is A= 1/2 bh

You multiply 25 x 12

300

Then you divide it by 2

Answer:

Her mistake is that she should plot the point (0, 5) first, not (1, -3)

Step-by-step explanation:

First I simplified the equation given.

y - 3 = 2 (x + 1)

y - 3 = 2x + 2

  +3         +3

y = 2x + 5

Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.

Hope this helps!

The perimeter of the triangle RON is the sum of the side lengths

The perimeter of the triangle is 15 units

From the question, we have:

ON = 5 units

Side lengths ON and OR are radii of the circle O.

So, we have:

OR = ON = 5 units

The chord RN has a length of 5 units.

So, the perimeter of the triangle is:

P = OR + ON + RN

This gives

P = 5 + 5 + 5

Evaluate

P = 15 units

Hence, the perimeter of the triangle is 15 units

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Answer:

RON = 15.0

Step-by-step explanation:

Just did the test and got it right.

But question was I the only one who thought of Ron Weasley

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

[tex]\cfrac{h}{0.3}~~ = ~~\cfrac{0.4}{0.5}\implies \cfrac{h}{~~ \frac{3}{10}~~}~~ = ~~\cfrac{~~ \frac{4}{10}~~}{\frac{5}{10}}\implies \cfrac{10h}{3}~~ = ~~\cfrac{4}{5} \\\\\\ 50h=12\implies h=\cfrac{12}{50}\implies h=\cfrac{6}{25}\implies h=0.24[/tex]

Answer:

10.14π

Step-by-step explanation:

First we have to work backwards. We know the forumla for circumference is pi x diameter. So we have to work backwards. 20 divided by pi is 6.37. So thats our diameter. Now that we that we can put it into our forumla for area. A= π x R^2.

The raidus is half of the diamater so 6.37/2. Which equals 3.185. Now we that into our formula. A= π x 3.185^2. Now we keep simplyifying the equation. 3.185^2=10.14. So now we have A=10.14π

The type of error that occurs  if you fail to reject h0 when, in fact, it is not true is a type 2 error.

Type 2 error is when the null hypothesis is not rejected even though it is not false. Type 1 error is when the null hypothesis is rejected when it is true. A type 2 error leads to a false negative which is also known as an error of omission.

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Answer:

the anwer is a triangle as it is shown below.

Answer:

The situation best for the equation 3x=288 Is by dividing both sides by the coefficient of x to single out the variable

Step-by-step explanation:

=> 3x/3=288/3

=> x = 96

Step-by-step explanation:

Step 1:  Determine a situation best for the equation

We walk into the store and see an amazing drone and the store has 3 of them.  The total price for them is 288 dollars.  Determine the individual price of each drone.

Hope this helps!

Answer:

A: Second option

B: 18%

Step-by-step explanation:

PART A

The second option

0.40c(0.15) + 0.60c(0.20)

If we have 40% men, and 15% of them are advanced

we can say 40% x 15% x c which is the same as 0.40 x 0.15 x c

Same thing for the women

0.60 x 0.20 x c

PART B

0.40c(0.15) + 0.60c(0.20)

= 0.06c + 0.12c

= 0.18c  which is the same as  18% of c

The first digit may be 1 or 8.

The second digit may be 1, 2, 4, 8.

The third digit may be 1, 3, 5, 7, 9.

There are [tex]2\times4\times5=40\:variants[/tex]

The probability that this is the correct code is [tex]\frac{1}{40}[/tex]

1/40 is the probability that this is the correct code.

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Liam is trying to remember a 3-digit code.

the first digit is a cube number so the first digit may be 1 or 8.

the second digit is a factor of 16.

The factor of 16 are 1, 2, 4 , 8.

Third digit is an odd number so the third digit may be 1, 3, 5, 7, 9.

There are 2×4×5 possibilities of Liam code.

40 possibilities

the probability that this is the correct code is 1/40

Hence, 1/40 is the probability that this is the correct code.

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Answer:

1Step-by-step explanation:

1 + IS 1 AND ITS 1

Answer:

See below

Step-by-step explanation:

E means exponent of 10

8.50246E6   means   8.50246 x 10^6   = 8502460

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

[tex]4 * \dfrac{-1}{4}=-1[/tex]

I FARTED HEHE

Step-by-step explanation:

IM 54

Answer:

B

Step-by-step explanation:

[tex]3(12-10)=3\cdot 2 = 6[/tex]

The inequality x -4 > 2 uses a greater than symbol

All numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

The inequality is given as:

x -4 > 2

Add 4 to both sides of the inequality

x - 4 + 4 > 2 + 4

Evaluate the sum

x > 6

The above means that only numbers greater than 6 are in the solution of the inequality.

Since the options are not given, I will give a general solution that all numbers lesser or equal to 6 are not a solution of the inequality x -4 > 2

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Answer:

The bottom left one

Step-by-step explanation:

They are the only graph that has one output for each x value

Answer:

2.44 ounces

Step-by-step explanation:

100% - 14% = 86%

2.1 ÷ 0.86 = 2.44  

Answer:

see below

Step-by-step explanation:

y = a ( x-0)^2 + 5     sub in the point given to calculate 'a'

1 = a (4)^2 + 5

-4 = 16a

a = - 1/4

y = -1/4 x^2 + 5

well, your observation is correct, for the form

if the coefficients are the of x² and y² are different and the same sign then we have an ellipse, hmmm I usually see a circle as an ellipse with equal major and minor axes, because is basically just that.

However, the rational form you have is that of an ellipse indeed, we can change it about to the form above and you'll see it so.

Just bear in mind that for the rational form for conics

if both fractions are positive and their denominator different, is an ellipse

if both fractions are positive and their denominator equal, is a circle

if one of the fractions is negative, then we have a hyperbola, and on a hyperbola the traverse axis is always the denominator with the positive fraction, so if the denominator is under the "x" fraction, then the traverse axis is horizontal, if under the "y" fraction, then vertical.

based on that fraction, is an ellipse with a center at (2 , -5).

now, the larger denominator is 29 and it's under the "y" variable, that means the major axis is in the direction of the y-axis, so is a vertical ellipse if you wish.     Check the picture below.

Answer:

last one

Step-by-step explanation:

Answer:

(-3,-2)

Step-by-step explanation:

(x,y)

Answer:

Step-by-step explanation:

Let the power is x, then we have the following inequality

Solving we get

Answer:

An answer is twenty.

Step-by-step explanation:

0.35^20 is the expression the equation would be 0.35^20=7.609

or: 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times 0.35 times... until you multiply 0.35 times 0.35 twenty times. Not 0.35 times 20, 0.35 times 0.35 twenty times, don't forget to move the decimal! An exponent is 20.

hope this helps!

301.6 cubic meters

A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description. 

Volume Formula

A circular cylinder has a volume of [tex]V=\pi r^2h[/tex]. In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.

Solving for Volume

To solve plug the values into the formula and rewrite the equation.

Next, apply the exponents.

Then, multiply the constants.

Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.

Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.

The objective function Z = 2x + 3y cannot be maximized, while the maximum value of the objective function Z = 2x + 5y is 19

The objective function is given as:

Z = 2x + 3y

The constraints are given as:

3x+2y≤15

4x+y≤0

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (-3,12)

Because x≥0 & y≥0, and x is negative in (-3,12), then

The function cannot be maximized.

The objective function is given as:

Z = 2x + 5y

The constraints are given as:

x + y ≤ 5

y - x ≤ 1

x≥0; y≥0

See attachment for the graph of the constraints

From the attached graph, we have the optimal solution to be:

(x,y) = (2,3)

Substitute 2 and 3 for x and y in the objective function.

Z = 2 * 2 + 5 * 3

Evaluate

Z = 19

Hence, the maximum value of the objective function is 19

The questions 21, 22, 23 and 25 are not included in the attachment

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Step-by-step explanation:

you have to be careful with the precise notation of terms and expressions.

you keep using only -7 for everything.

i suspect you mean 7 and -7, right ?

if that is correct, then just remember this :

on a number line the positive values are on the right, and the negative values on the left.

in fact, the further right you go, the larger the number gets. and the further left you go, the smaller (or lower) the number gets.

e.g. -7 is smaller than -6.

and so, -7 would be to the left of 7, because -7 < 7.

or vice versa :

7 would be to the right of -7, because 7 > -7

Answer:

10(7 + 6s) = 70 + 60s

Step-by-step explanation:

10(7 + 6s)

Distribute the 10 in the parenthesis. When distributing, multiply the number by every term in the parenthesis.

10 * 7 + 10 * 6s

Multiply.

70 + 60s

Answer:

10(7)+10(6s) which equals 70+60s

Answer:

5.5

Step-by-step explanation:

firrst arrange them from least to greatest:

1,8,9,2,-5,-7

then cross out each side one by one until its in the middle

which leaves with 9 and 2

add both together

and get 11

divide by 2 which is 5.5

Answer:

27/125

Step-by-step explanation:

Clearly, 27 and 125 are perfect cubes as:

Thus, this can be written as:

Given options:

Choice A

Answer:

it took the plane 5 hours to get there and now that you know the time it took for the plane to get there divide it by the miles which equals 300 miles per hour