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3 years ago

Which of the following expressions is correctly written in scientific notation?

Mathematics

1 answer:

Romashka [77]3 years ago

6 0

Answer:

It's

5.29 x 10^-5

Bcs the scientific notation number has to be around the numbers 1-9 and not more than that.

hope it helps :)

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

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

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

How do you do this ? Please step by step explanation due tom

inna [77]

Answer: C im pretty sure

Step-by-step explanation:

Use this link it explains it pretty well

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Just copy and paste the link

6 0

3 years ago

Suppose a linear transformation Upper T : Bold Upper R squared right arrow Bold Upper R squared is formed by taking a rotation c

kotykmax [81]

Answer:

All points on line x+y = 0 or x-y=0 will satisfy the transformation.

Step-by-step explanation:

Let (x, y) be the general such point.

Hence rotating it by 180 deg. counterclockwise will give us (-y,-x).

Reflecting (-y,-x) on x axis gives us (-y,x).

Hence if (x,y) = (-y,x) then all ( x, y) where x = -y or x+y = 0 or x=y or x-y=0 will satisfy this condition.

All points on line x+y = 0 or x-y=0 will satisfy the transformation.

8 0

2 years ago

Please help it is multiple choice. Just read the question then answer it correctly

Korvikt [17]

First question, answer is A, the starting point in the graph shows it’s (0,150) while the slope is 30, look at the labeled axis.

second question, i have to do work for it, i can answer it later. remind me. but in order to find the slope, the formula is delta y over delta x. then to find the y intercept, do what’s called “collect the evidence”. this is when you fill out all needed info, it will look like this- y= x= m= b= ??

idk ab the third question, they would all make the function fine?? idk i’m confused, it doesn’t make sense

fourth question, the answer would be B

3 0

2 years ago

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Write a system of equations tha

olganol [36]

Answer:

7 horses and 8 chickens

Step-by-step explanation:

To solve this, first you would need to list out all of the available ratios. Then, find out how many legs are in each option.:

14 horses and 1 chicken = 58 legs

13 horses and 2 chickens = 56 legs

12 horses and 3 chickens = etc.

11 horses and 4 chickens

10 horses and 5 chickens

9 horses and 6 chickens

8 horses and 7 chickens

7 horses and 8 chickens = 44 legs!

6 horses and 9 chickens

5 horses and 10 chickens

4 horses and 11 chickens

3 horses and 12 chickens

2 horses and 13 chickens

1 horses and 14 chickens

5 0

2 years ago