An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and Fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes this situation.

Answer:

169=169

Step-by-step explanation:

The pythagoras theorem states that if

[tex] {a}^{2} + {b}^{2} = {c }^{2} [/tex]

Then the triangle is a right triangle

So

[tex]{5}^{2} + {12}^{2} = {13}^{2} [/tex]

[tex]25 + 144 = 169[/tex]

[tex]169 = 169[/tex]

Therefore A is a right triangle

Answer:

Step-by-step explanation:

now the longest edge is 13 cm so : 13²must be equal to 5²+12²

so this triangle must be right angled

Answer:

c  ≥ -5

Step-by-step explanation:

-5c +2 ≤ 27

Subtract 2 from each side

-5c +2-2 ≤ 27-2

-5c ≤25

Divide by -5, remembering to flip the inequality

-5c/-5 ≥25/-5

c  ≥ -5

Answer: [tex]x\geq 5[/tex]

Step-by-step explanation:

[tex]-5x+2\leq 27\\Subtract\\-5x\leq 25\\Divide\\x\geq 5[/tex]

It's important to remember that when you divide both sides of an inequality by a negative number to flip the sign.

Hope it helps <3

Answer: $27.825

Step-by-step explanation:

From the question, we are informed that Robert want to buy a sports cap that is on sale for 25% off and the original price is 35$. This means the price of the sports car will be:

= Original price - Discount

= $35 - (25% × $35)

= $35 - (0.25 × $35)

= $35 - $8.75

= $26.25

We are further told that there is a sales tax of 6%. The amount that Robert will need to pay for the cap will be:

= $26.25 + (6% × $26.25)

= $26.25 + (0.06 × $26.25)

= $26.25 + $1.575

= $27.825

Answer:

27.83

Step-by-step explanation:

Answer :

Answer:

n² - 2n + 2

Step-by-step explanation:

The difference in the pattern are odd numbers.

2 - 1 = 1

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

So there is a -2n in the nth term.

If we subtract 1 on each term.

0, 1, 4, 9, 16

We get whole squares.

So there is a n² in the nth term.

(1)² - 2(1)+ c = 1

1 - 2 + c = 1

-1 + c = 1

c = 2

The nth term is:

n²-2n+2

Answer:

To simplify the ratio make sure that the units are the same

5m:240cm

Change the meters into centimeters

That's

1m = 100cm

5m = 500cm

So we have

500cm:240cm

500/240

= 25/12

= 25:12

Hope this helps

Answer:

25:12

Step-by-step explanation:

First you have to convert both amounts into the same unit. So;

5m × 100 = 500 cm

We're multiplying by 100 because a metre is 100 times bigger than 1 cm.

This changes the ratio from 5:240 to 500:240, which makes it easier to get to your end result.

Now, find the Highest Common Factor of both 500 and 240 - much like you do when simplifying fractions.

Factors of 240 = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

Factors of 500 = 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250 and 500.

We then divide both numbers by the HCF, which we've just figured out is 20;

240 ÷ 20 = 12

500 ÷ 20 = 25

Answer:

8 inches.

Step-by-step explanation:

From the statement we have that they first made two identical square pyramids, each with a base area of 100 square inches.

Ab = s ^ 2 = 100

Therefore each side would be:

s = (100) ^ (1/2)

s = 10

So, side of the square base = 10 inches

Then they tell us that they glued the bases of the pyramids together to form the precious stone. The surface area of the gemstone is 520 square inches, so for a single pyramid it would be:

Ap = 520/2 = 260

For an area of the square pyramid we have the following equation:

Ap = 2 * x * s + s ^ 2

Where x is the height of each triangular surface and s is the side of the square base

Replacing we have:

260 = 2 * x * 10 + 10 ^ 2

20 * x + 100 = 260

20 * x = 160

x = 160/20

x = 8

Therefore, the value of x is 8 inches.

Answer:

x = 5/3 or x = -3

Step-by-step explanation:

3x² + 4x - 15 = 0

Factor left side.

(3x - 5)(x + 3) = 0

Set factors equal to 0.

3x - 5 = 0

3x = 5

x = 5/3

x + 3 = 0

x = -3

Answer:

x = -3             OR         x = 5/3

Step-by-step explanation:

=> [tex]3x^2+4x-15 = 0[/tex]

Using mid term break formula

=> [tex]3x^2+9x-5x-15 = 0[/tex]

=> 3x(x+3)-5(x+3) = 0

Taking x-3 common

=> (x+3)(3x-5) = 0

Either

x+3 = 0         OR       3x-5 = 0

x = -3             OR         x = 5/3

Answer:

C. x>4

Step-by-step explanation:

3/(x-4) > 0

3>0, so

x-4 >0

x > 4

Answer:

(6,2)

Step-by-step explanation:

y=-1/2x+5

y=2x-10​

-1/2 x+5 =2x-10  to find the solution y=y ( point of intersection of two lines)

-1/2 x-2x = -10-5 solve for x

-5/2 x=-15

x=-30/-5=6

y=2x- 10 substitute  x in the equation to get y

y=2(6)-10

y=2

(2,3)

Dont put the other answer, it’s wrong I

did the math.

Answer:

[tex] \frac{105}{4} [/tex]

please see the attached picture for full solution..

hope it helps...

Good luck on your assignment..

Answer:

y = -31x^6 - 87^3 +46x +12

Step-by-step explanation:

Place the numbers with the highest degree first (-31 x ^ 6) and go in order until you reach the number with the lowest degree (12). When you do that, you get:

y = - 31x^6 - 87x^3 + 23x^2 - 23x^2 + 46x +12

As you can see, the numbers based on the amount of their exponent were placed in order, no matter what the coefficient is. But, there are two numbers with ^2, so we have to cancel them out. In order to do that, you have to add/ subtract the two numbers with the same exponent.

23x^2 - 23x^2 = 0

Since the answer is 0, we canceled both of the numbers out, so the final polynomial in its standard form is:

y = -31x^6 - 87^3 +46x +12

Hope this helps :)

Answer:

y = -31x^6-87^3+46x+12

Step-by-step explanation:

put the exponents in order and cancel out the 23x^2s.

Answer:

B

Step-by-step explanation:

dashed line above the shaded area, shaded area below dashed boundary line

Answer:

For the drop down menu:

i) x + y

ii) z²

iii) ½ xy

The complete question related to this found on brainly (ID:16485977) is stated below:

Mario writes the equation (x+y)² = z² +4( 1/2 xy) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

_____finds the area of the outer square by squaring its side length.

_____finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

Find attached the diagram of the question.

Step-by-step explanation:

Pythagoras theorem is a formula that shows the relationship between the sides of a right angled triangle.

Pythagoras theorem

Hypotenuse ² = opposite ² + adjacent ²

From the diagram of the question.

Hypotenuse = z

Opposite = y

Adjacent = x

z² = x² + y²

Area of outer square = area of inner square + 4(area of triangles)

area of inner square = length² = (x+y)²

Expanding area of the outer square:

(x+y)² = (x+y)(x+y) = x²+xy+xy+y²

(x+y)² = x²+y²+2xy

= z² + 2xy

Area of inner square = length² = z²

Area of triangle = ½ base × height

= ½ × x × y = ½ xy

Area of outer square = area of inner square + 4(area of triangles)

(x + y)² = z² + 4(½xy )

Therefore, it is a true equation.

( x + y )² finds the area of the outer square by squaring its side length.

z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.

These expressions are equal because they both give the areas of outer space.

So for the drop down menu:

i) x + y

ii) z²

iii) ½ xy

Answer:

this is ur answer so memories

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

In function f(5), f(5) means the value of the function at x = 5.

Answer:

The first choice: The expression h(-7) represents the output of h corresponding to the input of -7.

Answer:

The expression h(-7) represents the output of h corresponding to the input of -7.

Step-by-step explanation:

...

Answer:

Answer: 1) 155.65 kJ; 2) -59.0 kJ/mol; 3) a)

Step-by-step explanation:

Answer on Question # 55533 - Chemistry - General chemistry

Question:

1. Given the data. N2(g) + O2(g) = 2 NO(g) ΔH = +180.7 kJ; 2 NO(g) + O2(g) = 2 NO2(g) ΔH = −113.1

kJ; 2 N2O(g) = 2 N2(g) + O2(g) ΔH = − 163.2 kJ; Use Hess’s Law to calculate ΔH for the reaction

N2O(g) + NO2(g) = 3 NO(g); Show your work.

2. Calcium carbide (CaC2) reacts with water to form acetylene (C2H2) and Ca(OH)2. From the

following enthalpy of reaction data and data in Appendix C in textbook, calculate ΔHf° for CaC2(s):

CaC2(s) + 2 H2O(l) Ca(OH)2(s) + C2H2 (g) ΔH = −127.2kJ

3. Using average bond enthalpies, predict which of the following reactions will be most

exothermic: a) C(g) + 2 F2(g) CF4(g) b) CO(g) +3 F2(g) CF4(g) + OF2(g) c) CO2(g) + 4 F2(g) CF4(g) +

2 OF2(g)

Solution

1)

N2(g) + O2(g) = 2 NO(g) ΔH1 = +180.7 kJ x(+2)

2 NO(g) + O2(g) = 2 NO2(g) ΔH2 = −113.1 kJ x(-1)

2 N2O(g) = 2 N2(g) + O2(g) ΔH3 = − 163.2 kJ x(+1)

2N2O(g) + 2NO2(g) = 6 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)

N2O(g) + NO2(g) = 3 NO(g) ΔH = (ΔH3 + 2ΔH1 – ΔH2)/2 = 155.65 kJ

2)

CaC2(s) + 2 H2O(l) = Ca(OH)2(s) + C2H2 (g) ΔHrxn = −127.2kJ

ΔHrxn = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) - ΔHf°(CaC2);

ΔHf°(CaC2) = ΔHf°(C2H2) + ΔHf°(Ca(OH)2) - 2ΔHf°(H2O) – ΔHrxn

ΔHf°(C2H2) = 227.4 kJ/mol

ΔHf°(Ca(OH)2) = -985.2 kJ/mol

ΔHf°(H2O) = -285.8 kJ/mol

ΔHf°(CaC2) =227.4 - 985.2 + 2x285.8 + 127.2 = -59.0 kJ/mol

3)

a) C(g) + 2 F2(g) = CF4(g)

b) CO(g) +3 F2(g) = CF4(g) + OF2(g)

c) CO2(g) + 4 F2(g) = CF4(g) + 2 OF2(g)

C-F bond enthalpy 440 kJ/mol

C=O bond enthalpy in carbon dioxide 805 kJ/mol

C=O bond enthalpy in carbon monoxide 1077 kJ/mol

O-F bond enthalpy 184 kJ/mol

F-F bond enthalpy 153 kJ/mol

a) ΔHrxn = 2x153 - 4x440 = -1454 kJ – the most exothermic

b) ΔHrxn = 1077 + 3x152 - 2x184 - 4x440 = -595 kJ

c) ΔHrxn =805x2 + 4x153 - 4x440 – 2x2x184 = -274 kJ

Answer:

see explanation

Step-by-step explanation:

(b)

The roots of f(x) = 0 are the values of x on the x- axis at the points where the graph crosses, that is

x = - 1 and x = 3

(c)

f(0) is the point on the y- axis where the graph crosses, that is 3, thus

f(0) = 3

Step-by-step explanation:

The formula of a volume of a cone:

[tex]V=\dfrac{1}{3}\pi r^2H[/tex]

r - radius

H - height

We have

[tex]H=4m;\ 2r=3m\to r=1.5m[/tex]

We have everything we need to calculate the volume of the cone.

[tex]V=\dfrac{1}{3}\pi(1.5)^2(4)[/tex]

If we want to get the approximate volume, we must use the approximation of the number π.

[tex]\pi\approx3.14;\ \pi\approx\dfrac{22}{7}[/tex]

[tex]V=\dfrac{1}{3}\pi(2.25)(4)=\dfrac{9\pi}{3}=3\pi\approx(3)(3.14)=9.42\ (m^3)[/tex]

Answer:

The person above me is wrong, the answer is 3

Step-by-step explanation:

I got it right on the test

Answer:

(3.26795, 6.73205)

(6.73205, 3.26795)

Step-by-step explanation:

Easiest and fastest way to get your solutions is to graph the systems of equations and analyze the graph for where they intersect.

Answer:

a) 0.3.

b) 1.

Step-by-step explanation:

Note: The scale of probability is not given properly. So, the probability of following events are given below:

It is given that,

Total number of sweets in a bag = 10

Red sweets = 4

Green sweets = 2

Yellow sweets = 3

Purple sweet = 1

a)

We need to find the probability of choosing a yellow sweet.

[tex]P(Y)=\dfrac{\text{Yellow sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(Y)=\dfrac{3}{10}[/tex]

[tex]P(Y)=0.3[/tex]

Therefore, the probability of choosing a yellow sweet is 0.3.

b)

We need to find the probability of choosing a sweet that is not orange.

[tex]P(O')=1-\dfrac{\text{Orange sweets}}{\text{Total number of sweets in a bag}}[/tex]

[tex]P(O')=1-\dfrac{0}{10}[/tex]

[tex]P(O')=1[/tex]

Therefore, the probability of choosing a sweet that is not orange is 1.

Probabilities are used to determine the chances of events.

The probability scale is not given; so, I will give a general explanation.

The given parameters are:

[tex]Red = 4[/tex]

[tex]Green = 2[/tex]

[tex]Yellow= 3[/tex]

[tex]Purple = 1[/tex]

[tex]Total = 10[/tex]

(a) The probability of choosing a yellow sweet

This is calculated using:

[tex]P(Yellow) = \frac{Yellow}{Total}[/tex]

So, we have:

[tex]P(Yellow) = \frac{3}{10}[/tex]

Divide 3 by 10

[tex]P(Yellow) =0.3[/tex]

Hence, the probability of choosing a yellow sweet is 0.3

(b) The probability of choosing a sweet that is not orange

This is calculated using:

[tex]P(Not\ Orange) = 1 - \frac{Orange}{Total}[/tex]

So, we have:

[tex]P(Not\ Orange) = 1 - \frac{0}{10}[/tex]

Divide 0 by 10

[tex]P(Not\ Orange) = 1 - 0[/tex]

[tex]P(Not\ Orange) = 1[/tex]

Hence, the probability of choosing a sweet that is not orange is 0

Read more about probabilities at:

https://brainly.com/question/251701

Answer:

58 inches

Step-by-step explanation:

This is a right angled triangle. We would use Trigonometric function of Sine to solve the question

θ = 60°

From the above question, the following values were obtained:

Hypotenuse = 67 inches long

The height in the upper edge above the ground = Opposite side

Sin θ = Opposite/ Hypotenuse

Sin 60° = Opposite/67 inches

Cross Multiply = Sin 60° × 67 inches

= 58.023702054 inches

≈ 58 inches

Therefore, the height in inches of the upper edge is 58 inches

Answer:

She will save 62.40

Step-by-step explanation:

First find the total amount she makes

hours times hourly rate

19.5 * 12.80

249.60

She saves 1/4 of this, so multiply by 1/4

1/4 * 249.60

62.40

She will save 62.40

Answer:

62.40

Step-by-step explanation:

Answer: Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Given the following :

DETERGENT A:

48 fluid ounces

Cleans 16 loads of dishes

DETERGENT B:

76 fluid ounces

Cleans 38 loads of dishes

DETERGENT A:

Fluid ounces per load :

48 / 16 = 3 (3 fluid ounce per load)

DETERGENT B:

Fluid ounce per load :

76 / 38 = 2 ( 2 fluid ounce per load)

3 - 2 = 1 fluid ounce per load.

Answer:

Detergent A uses exactly 1 fluid ounce per load more than detergent B

Step-by-step explanation:

Answer:

2.95x+39.95(12).

Step-by-step explanation:

Hope this helps!

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

y = 5  1/4

Step-by-step explanation:

For direct or inverse variation relation

relation between two variable and y can be expresses in form of

y = kx  where k is constant of proportionality .

Only thing happens in inverse relation is that when x increases then y decreases and vice versa. That is care by constant of proportionality

__________________________________

Thus, let the inverse relation be

y = kx

given

when y = 6 then x = 8

we will plug this value in y = kx

6 = k*8

=>k = 6/8 = 3/4

Thus,

relation is

y = 3/4 x

we have to find y when x = 7 ,

lets put x = 7 in y = 3/4 x

y = 3/4 *7 = 21/4 = 5 1/4

Thus, when x = 7 then y = 5 1/4

Answer: 32 parts red

Step-by-step explanation:

3 parts white : 8 parts red

12 parts white : ?

12/3 x 8 = 32 parts red

Answer:

32 parts

Step-by-step explanation:

We can use ratios to solve

3 white           12 white

---------------- = -----------------

8 red              x red

Using cross products

3x = 8*12

3x = 96

Divide each side by 3

3x/3 =96/3

x= 32

Answer:

m∠L = 78°

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides are equal and parallel.

2). Diagonals are equal in measure .

3). Opposite angles are equal in measure.

4). Consecutive angles are supplementary

5). Diagonals bisect each other.

By the property number (3),

m∠J ≅ m∠L

(8x - 2) = (6x + 18)

8x - 6x = 18 + 2

2x = 20

x = 10

Therefore, m∠L = (6x + 18)

                          = 60 + 18

                          = 78°

Answer:

2x⁴ - 20x² - 78

To factor the expression look for the LCM of the numbers

LCM of the numbers is 2

Factorize that one out

That's

2( x⁴ - 10x² - 39)

Hope this helps

Answer:

2(x² + 3)(x² - 13)

Step-by-step explanation:

2x⁴ - 20x² - 78

Factor out 2.

2(x⁴ - 10x² - 39)

Find 2 numbers that multiply to get -39 and add to get -10. Those numbers are -13 and 3.

2(x⁴ - 13x² + 3x² - 39)

2(x² + 3)(x² - 13)