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bogdanovich [222]
3 years ago
14

Estimate V17 to the nearest tenth.

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

20

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

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Coral beef grew 19.5 mm taller. how much did it grow in meters?
Serggg [28]

1 meter = 1,000 millimeter

We can solve this by making two proportion or millimeter over meter:  \frac{millimeter}{meter}

\frac{19.5 mm}{x meter}  = \frac{1,000 mm}{1 m}

Now you must solve for the unknown meter under the first proportion:

(1,000)(x meter) = 19.5 * 1

1,000(x meter) = 19.5

x meter = 0.0195 m

19.5 mm = 0.0195 m

Hope this helped! Let me know if you have any further questions

~ Just a girl in love with Shawn Mendes

6 0
3 years ago
A trapezoid has an area of 30 in2. If the lenghts of the bases are 4.8 and 5.2 in, what is the lenght?
harkovskaia [24]
Looking for the height, if trapezoid area equals (a+b)/2 x h then h = 2A/(a+b)
so h = 2(30)/(4.8+5.2) = 6
3 0
3 years ago
What would y=x^2 +x+ 2 be in vertex form
balu736 [363]

Answer:

y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

Step-by-step explanation:

y =  {x}^{2}  + x + 2

We can covert the standard form into the vertex form by either using the formula, completing the square or with calculus.

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

The following equation above is the vertex form of Quadratic Function.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Formula</u>

h =  -  \frac{b}{2a}  \\ k =  \frac{4ac -  {b}^{2} }{4a}

We substitute the value of these terms from the standard form.

y = a {x}^{2}  + bx + c

h =  -  \frac{1}{2(1)}  \\ h =  -  \frac{ 1}{2}

Our h is - 1/2

k =  \frac{4(1)(2) - ( {1})^{2} }{4(1)}  \\ k =  \frac{8 - 1}{4}  \\ k =  \frac{7}{4}

Our k is 7/4.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Calculus</u>

We can use differential or derivative to find the vertex as well.

f(x) = a {x}^{n}

Therefore our derivative of f(x) —

f'(x) = n \times a {x}^{n - 1}

From the standard form of the given equation.

y =  {x}^{2}  +  x + 2

Differentiate the following equation. We can use the dy/dx symbol instead of f'(x) or y'

f'(x) = (2 \times 1 {x}^{2 - 1} ) + (1 \times  {x}^{1 - 1} ) + 0

Any constants that are differentiated will automatically become 0.

f'(x) = 2 {x}+ 1

Then we substitute f'(x) = 0

0 =2x + 1 \\ 2x + 1 = 0 \\ 2x =  - 1 \\x =  -  \frac{1}{2}

Because x = h. Therefore, h = - 1/2

Then substitute x = -1/2 in the function (not differentiated function)

y =  {x}^{2}  + x + 2

y = ( -  \frac{1}{2} )^{2}  + ( -  \frac{1}{2} ) + 2 \\ y =  \frac{1}{4}  -  \frac{1}{2}  + 2 \\ y =  \frac{1}{4}  -  \frac{2}{4}  +  \frac{8}{4}  \\ y =  \frac{7}{4}

Because y = k. Our k is 7/4.

From the vertex form, our vertex is at (h,k)

Therefore, substitute h = -1/2 and k = 7/4 in the equation.

y = a {(x - h)}^{2}  + k \\ y = (x - ( -  \frac{1}{2} ))^{2}  +  \frac{7}{4}  \\ y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

7 0
3 years ago
Solve the system of equations. 2x + 7y =3 <br>x = -4y <br>x = <br>y =​
dimaraw [331]

Answer:

x = 3/2−7y/2

Step-by-step explanation:

hope this is correct

8 0
2 years ago
Solve for z. z−49−13=59 Enter your answer in the box. z=
REY [17]

Hello there!

Solve for z.

z-49-13=59

Explanation

↓↓↓↓↓↓↓↓↓↓↓

First you had to subtract by the numbers.

-49-13=-62

z-62=59

Then you add by 62 from both sides of the equation.

z-62+62=59+62

Simplify it should be the correct answer.

z=121

Answer⇒⇒⇒⇒z=121

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

3 0
3 years ago
Read 2 more answers
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