the hypotenuse of 68 and 51

Answer:

Step-by-step explanation:

is is (p+3)-2??

Answer:  Not proportional

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

Explanation:

Let's assume the two fractions are equal.

If so, then,

[tex]\frac{0.2}{2.6} = \frac{0.3}{3.6}\\\\0.2*3.6 = 2.6*0.3\\\\0.72 = 0.78[/tex]

The last equation is false, so the first equation is false.

Therefore, the two ratios are not proportional.

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Another approach:

Calculate the decimal value of each fraction

[tex]\frac{0.2}{2.6} \approx 0.07692\\\\\frac{0.3}{3.6} \approx 0.08333\\\\[/tex]

The two ratios result in different decimal values, so the two ratios are not equal, aka not proportional.

Answer:

Sale Price = 31$

Step-by-step explanation:

Sale price= originally price × (1- sale percentage /100)

=124× (1- 75/100)

=124× 0.25

=31 $

Polynomials are algebraic expressions that have variables and constants

The result of adding the polynomials is [tex]-10x^2+6xy+3y^2[/tex]

The sum of the polynomials is given as:

[tex]-4x^2+3xy-y^2 -7x^2-xy+6y^2 + x^2+4xy-2y^2[/tex]

Collect like terms

[tex]-7x^2-4x^2+ x^2+3xy -xy +4xy-2y^2-y^2+6y^2[/tex]

Evaluate the like terms

[tex]-10x^2+6xy+3y^2[/tex]

Hence, the result of adding the polynomials is [tex]-10x^2+6xy+3y^2[/tex]

Read more about polynomials at:

https://brainly.com/question/4142886

Answer:

70%

Step-by-step explanation:

divide 21 by 30 to get .70 multiply by 100 to make percent

70% (or just move decimal two places to the right)

Answer:

70%

Step-by-step explanation:

100 ÷ 30 = 3.3333333333333

21 x 3.3333333333333/30 x 3.3333333333333 = 70/100

21/30 = 0.7

0.7 x 100 = 70%

Answer:

765

Step-by-step explanation:

ad both side of the polygon which you will get 17 and 45 times those two and you'll [tex]765ft^2\\[/tex]

Answer:

13/8 or 1 1/2

Step-by-step explanation:

Step 1

Since our denominators match, we can add the numerators.

7 + 6 = 13

So what's the answer so far?

13/8

Step 2

Can this fraction be reduced?

First, we attempt to divide it by 2...

No good. So next you try the next prime number, which is 3...

No good. So next you try the next prime number, which is 5...

No good. So next you try the next prime number, which is 7...

No good. So next you try the next prime number, which is 11...

No good. 11 is larger than 8. So we're done reducing.

And we're done! Here's the final answer to 7/8 + 6/8

Step-by-step explanation:

refer the above attachment

Answer:

  (A)  46 seconds

Step-by-step explanation:

You can arrive at an answer to this question at least two ways:

Read the time from the graph.

Locate 144 on the vertical scale, just below halfway from 140 to 150. Locate the point on the graph that is at this vertical height. It is a little more than halfway between 40 and 50 on the horizontal scale.

The only answer choice in that neighborhood is t = 46 seconds.

__

Use the given formula, and solve it for the time.

  d = 1.5t +75

  144 = 1.5t +75 . . . the distance of interest is 144

  69 = 1.5t . . . . . . . .subtract 75

  69/1.5 = t = 46 . . . seconds

Answer:

I don't know if you still need an answer but- here ya go :)

a. -22 + 5 = -17

b. -22 - (-5) = -22 + 5 = -17

c. (-22)(-5) = 110

d. (-22) / 5 = -4.4

Using proportions, it is found that the fraction of students in the sample that were male is:

[tex]\frac{56}{100}[/tex]

A proportion is a fraction of total amount.

From the two-way table, we have that:

Thus, the fraction of students in the sample that were male is:

[tex]\frac{56}{100}[/tex]

You can learn more about proportions at https://brainly.com/question/24372153

Answer:

x=7 y=12.124

Step-by-step explanation:

hope this helps

Answer:

8 is the length, and 15 is the height.

8+7 =15

8*15 = 120

Answer:

0.43 yards is the answer

Step-by-step explanation:

Step-by-step explanation:

We have

[tex]125 - x {}^{3} [/tex]

First, 125 is a perfect cube because

[tex]5 \times 5 \times 5 = 125[/tex]

and

x^3 is a perfect cube because

[tex]x \times x \times x = x {}^{3} [/tex]

so we can use the difference of cubes identity

[tex]( {x}^{3} - {y}^{3} ) = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

Let say we have two perfect cubes:

64 because 8×8×8=64

and 27 because 3×3×3=27 and let subtract

[tex]64 - 27[/tex]

we know that

[tex]64 - 27 = 37[/tex]

but using the difference of cubes identity we should get the same thing.

Remeber cube root of 64 is 4 and cube root of 27 is 3 so we have

[tex](4 - 3)( {4}^{2} + 4(3) + 3 {}^{2} )[/tex]

[tex]1(16 + 12 + 9) = 1(37) = 37[/tex]

So the difference of cubes works for real numbers. This is a good way to help remeber the identity using real numbers.

Back on to the topic,

we know that 5 is cube root of 125 and x is the cube root of x^3 so we have

[tex](5 - x)( {5}^{2} + 5x + {x}^{2} ) = [/tex]

[tex](5 - x)(25 + 5x + {x}^{2} )[/tex]

First Image is the answer the second is the steps

Best of Luck

Answer:Petroleum = 15.32%

Drugs = 12.9%

Chemicals = 2.5%

Motor Vehicles = -56.5% (Negative)

Electrical = -18.8% (Negative)

Food = 3.7%

Step-by-step explanation:

Answer:

£11.40

Step-by-step explanation:

She spent £1.55 + £1.30 = £2.85.

Now she has 3/4 of the original amount.

That means she spent 1/4 of the original amount.

£2.85 is 1/4 of the original amount.

The original amount is 4 × £2.85.

She started with £11.40.

You can solve it by writing an equation.

She started with x.

x - 2.85 = 3x/4

x/4 = 2.85

x = 11.40

Answer:  23n (nickels)

16p + 11d + 20q = 47x

x = number of coins that aren't nickels

y = number of coins in all

n = nickels

so there are 74 coins in all

70y - 47x = 23n

there are 23 nickels

lets check: 23n + 16p + 11d + 20q = 70y

Answer:

The answer is x+3=4

x+3=4

x=4-3

x = 1

Answer:

4 weeks

Step-by-step explanation:

because 15x4=60

and 10x4=40+ 20 =60

Answer:

y > [tex]\frac{3}{4}[/tex] x - 2

Step-by-step explanation:

thats the answer rearranged your graph should look like this

Answer:

Sides: a = 46   b = 46   c = 49

Step-by-step explanation:

i think

Answer:

Yes

Step-by-step explanation:

Just like with fractions, 8:4 can be reduced to 2:1

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\large\text{2 : 1}\\\\\large\text{= 2}\times\large\text{4 : }\large\text{1}\times\large\text{4}\\\\\large\text{= 8 : 4}[/tex]

[tex]\large\textsf{8 : 4}\\\\\large\textsf{= 8}\div\large\textsf{4 : 4}\div\large\textsf{4}\\\\\large\textsf{= 2 : 1}[/tex]

[tex]\large\textbf{Thus, 2:1 \& 8:4 ARE equivalent.}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{YES!}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Inc:(-∞,0) and (6,∞) Dec: (0,6)

Step-by-step explanation:

You could also use derivatives or look at the graph:

f'(x)=3x^2-18x

3x^2-18x=0

x=0,6

These are your critical points.

To check if they are really critical points or if they are increasing or decreasing and to see if they aren't inflection points, plug the points back on the equation.

Answer:

≈5.099

Step-by-step explanation:

1) the rule is:

[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2};[/tex]

2) according to the rule above, the required distance is:

[tex]d=\sqrt{(-2-3)^2+(-2+3)^2}=\sqrt{26}[/tex]

d≈5.099

Answer:

0.62kg or 620g.

Step-by-step explanation:

If there are 25 newspapers in a stack that weighs 15.5kg, 15.5 divided by 25 would give you the weight of one newspaper, which is 0.62kg.

To convert kilograms to grams:

0.62kg x 1000 = 620g

Answer:

0.62 kg

Step-by-step explanation:

25 newspaper = 15.5kg

1  newspaper = ? Y

cress cross

25 newspaper Y = 15.5 kg × 1 newspaper

25 newspaper         25 newspaper

Y = 15.5 kg

     25

Y = 0.62 kg

Answer:

250*(0.96)^8=180 (rounded)

Step-by-step explanation:

The first year, we know there are 250. Moving on every year, we multiply the # from the previous year by 0.96, which is the same as taking 96 percent (excluding the decreasing 4%). This gives us a multiplication of 0.96 ^8, which we have to multiply by the original 250

a) The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex].

b) The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex].

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex].

a) In this case we need to separate each variable ([tex]y, t[/tex]) in each side of the identity:

[tex]6\cdot \frac{dy}{dt} = y^{4}\cdot \sin^{4} t[/tex] (1)

[tex]6\int {\frac{dy}{y^{4}} } = \int {\sin^{4}t} \, dt + C[/tex]

Where [tex]C[/tex] is the integration constant.

By table of integrals we find the solution for each integral:

[tex]-\frac{2}{y^{3}} = \frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32} + C[/tex]

If we know that [tex]x = 0[/tex] and [tex]y = 1[/tex], then the integration constant is [tex]C = -2[/tex].

The solution of this ordinary differential equation is [tex]y =\sqrt[3]{-\frac{2}{\frac{3\cdot t}{8}-\frac{\sin 2t}{4}+\frac{\sin 4t}{32}-2 } }[/tex]. [tex]\blacksquare[/tex]

b) In this case we need to solve a first order ordinary differential equation of the following form:

[tex]\frac{dy}{dx} + p(x) \cdot y = q(x)[/tex] (2)

Where:

Hence, the ordinary differential equation is equivalent to this form:

[tex]\frac{dy}{dx} -\frac{1}{x}\cdot y = x^{2}+\frac{1}{x}[/tex] (3)

The integrating factor for the ordinary differential equation is [tex]-\frac{1}{x}[/tex]. [tex]\blacksquare[/tex]

The solution for (2) is presented below:

[tex]y = e^{-\int {p(x)} \, dx }\cdot \int {e^{\int {p(x)} \, dx }}\cdot q(x) \, dx + C[/tex] (4)

Where [tex]C[/tex] is the integration constant.

If we know that [tex]p(x) = -\frac{1}{x}[/tex] and [tex]q(x) = x^{2} + \frac{1}{x}[/tex], then the solution of the ordinary differential equation is:

[tex]y = x \int {x^{-1}\cdot \left(x^{2}+\frac{1}{x} \right)} \, dx + C[/tex]

[tex]y = x\int {x} \, dx + x\int\, dx + C[/tex]

[tex]y = \frac{x^{3}}{2}+x^{2}+C[/tex]

If we know that [tex]x = 1[/tex] and [tex]y = -1[/tex], then the particular solution is:

[tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]

The particular solution of the ordinary differential equation is [tex]y = \frac{x^{3}}{2}+x^{2}-\frac{5}{2}[/tex]. [tex]\blacksquare[/tex]

To learn more on ordinary differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

Parallel lines have equal slopes, so the slope of the line we want to find is 3.

Substituting into point-slope form,

[tex]y+5=3(x-4)\\\\y+5=3x-12\\\\\boxed{y=3x-17}[/tex]