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3 years ago

Can someone please help me

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

Honestly you can just look these up

Step-by-step explanation:

Like for the first one, 53 cups in gallons is 3.3125, round that to 3.31, mixed number fraction would be 3 31/100

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A figure has an area of 64 unit square which describes the area of the figure after a dilation with a scale factor of 3/2

eduard

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

7 0

3 years ago

Match the key features of functions terms to their corresponding definitions.

kenny6666 [7]

The key features of the above given functions are correctly matched to their corresponding definition.

<h3>Definition of terms</h3>

Negative sections of the graph: They are the parts where the graph is below the x-axis. That is option C.

End behaviour: This is what happens to the graph on the far left or far right. That is option E.

Positive sections of the graph: This is the parts where the graph is above the x-axis. That is option D.

Intercepts: This is the points where the graph crosses an axis. That is option B

Relative extrema: This is the points of relative minimum or maximum in a graph. That is option A.

Learn more about graphs here:

brainly.com/question/25799000

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6 0

2 years ago

When as rate, 100 miles in 5 hours would be ????? miles per hour

koban [17]

Answer:

Step-by-step explanation:

5 divided by 100 = 20

3 0

3 years ago

Read 2 more answers

Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

If one root is the square of the other in the equation 8+mx+27x²=0,find the value of m

aleksklad [387]

Answer:

The value of $m$ is -30.

Step-by-step explanation:

Let $27\cdot x^{2}+m\cdot x +8 = 0$ , we notice that expression is a second order polynomials. We can rearrange the polynomial and use factorization to calculate all roots:

$x^{2}+\frac{m}{27}\cdot x + \frac{8}{27} = 0$ (1)

$-x^{2}-x = \frac{m}{27}$ (2)

$x^{3} = \frac{8}{27}$ (3)

From (3) we find the least root:

$x = \sqrt [3]{\frac{8}{27}}$

$x = \frac{2}{3}$

By (2) we have the value of $m$ :

$m = -27\cdot (x^{2}+x)$

$m = -30$

3 0

3 years ago