Mathematics College

On monday Mia spent 4 1/2 hrs. studying . on tuesday she spent another 2 4/5 hrs. studying what is the combined time she spent studying

Answers

Answer 1

4 1/2 + 2 4/5

4 + 2 = 6
1/2 + 4/5 = 5/10 + 8/10 = 13/10 = 1 3/10

6 + 1 3/10 =

7 3/10 <===

Related Questions

Estimate sin pi/3 if sin pi/2 = 1 and sin 0 = 0 and sin pi = 0

Answers

hello :
sin(π/3) = √3 / 2

Final answer:

To estimate the value of sin pi/3, which is roughly 1.047 or 60 degrees, we can use standard trigonometric values. Since pi/3 is closer to pi/2 than pi, where sin achieves its maximum of 1, the value of sin pi/3 should be closer to 1 than 0. Standard trigonometric values confirm that sin pi/3 = sqrt(3)/2 = 0.866.

Explanation:

To estimate sin pi/3, we can make use of some standard values in trigonometry. Pi is roughly 3.14, hence pi/3 is roughly 1.047. The sin function gives a result of 1 at pi/2 (or 90 degrees), 0 at 0, and again 0 at pi (or 180 degrees). Thus, it achieves its maximum at pi/2 and then decreases to 0 at pi. Intuitively, since pi/3 (or 60 degrees) is closer to pi/2 than to pi, the sin value at pi/3 should be closer to 1 than to 0. From the standard trigonometric values, we know that sin pi/3 = sqrt(3)/2 which is roughly 0.866.

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what are two practical products you could add to find 990 x 37 ; 297 693 2970 6930 69300 6330 29700

Answers

First evaluate 990 x 37.
990 x 37 = 36630

Test the given numbers to find the pair that adds up to 36630.
Test 297.
The missing pair will be
36630 - 297 = 36333
Will not work

Test 693.
36630 - 693 = 35937
Will not work

Test 2970.
36630 - 2970 = 33660
Will not work

Test 6930
36630 - 6930 = 29700
This works, because 6930 + 29700 = 36630.

Answer: 6930 and 29700.

how many gallons will it take to mow a lawn if you maintain the rate of 1/2 gallon of gasoline per 1/4 mowed

Answers

recall that one whole is 1, or in this case since the denominator is 4, then 4/4 is 1 whole, so the whole lawn is 4/4.

[tex]\bf \begin{array}{ccll} gallons&mowed\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \frac{1}{2}&\frac{1}{4}\\\\ g&\frac{4}{4} \end{array}\implies \cfrac{\frac{1}{2}}{g}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{\frac{1}{2}}{\frac{g}{1}}=\cfrac{\frac{1}{4}}{\frac{4}{4}}\implies \cfrac{1}{2}\cdot \cfrac{1}{g}=\cfrac{1}{4}\cdot \cfrac{4}{4} \\\\\\ \cfrac{1}{2g}=\cfrac{1}{4}\implies 4=2g\implies \cfrac{4}{2}=g\implies 2=g[/tex]

Why is it impossible to list the set of rational numbers using the roster method?

Answers

It is impossible to list the set of rational numbers using the roster method because the set of rational numbers is uncountable/inumerable.

There is no way to list all the members of the set of rational numbers.

Suppose John opens a savings account with $1,000 that compounds interest daily. The APR at the time John deposits the account is 3.5%. He makes no withdrawals or deposits. What is his APY to the nearest hundredth of a percent after 1 year?

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[tex]\bf \qquad \qquad \textit{Annual Yield Formula} \\\\ \left. \qquad \qquad \right.\left(1+\frac{r}{n}\right)^{n}-1 \\\\ \begin{cases} r=rate\to 3.5\%\to \frac{3.5}{100}\to &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\to &365 \end{cases} \\\\\\ \left(1+\frac{0.035}{365}\right)^{365}-1[/tex]

Find the equation of the curve that passes through the point 0, 1 6 and whose slope at each point (x, y) is − x 12y .

Answers

The equation is [tex]$x^2 + 12y^2 - 3072 = 0$,[/tex] obtained from integrating [tex]$12y \, dy = -x \, dx$[/tex] with the initial condition.

To find the equation of the curve passing through the point (0, 16) with a slope given by [tex]$ \frac{{dy}}{{dx}} = -\frac{x}{12y} $,[/tex] you can use separation of variables.

Given that [tex]$ \frac{{dy}}{{dx}} = -\frac{x}{12y} $[/tex], we can rewrite it as:

[tex]\[ 12y \, dy = -x \, dx \][/tex]

Now, integrate both sides:

[tex]\[ \int 12y \, dy = \int -x \, dx \]\[ 6y^2 = -\frac{1}{2}x^2 + C \][/tex]

Given that the curve passes through the point (0, 16), substitute these values into the equation:

[tex]\[ 6(16)^2 = -\frac{1}{2}(0)^2 + C \]\[ 6(256) = C \]\[ C = 1536 \][/tex]

Therefore, the equation of the curve is:

[tex]\[ 6y^2 = -\frac{1}{2}x^2 + 1536 \][/tex]

This can also be written in standard form as:

[tex]\[ x^2 + 12y^2 - 3072 = 0 \][/tex]

So, the equation of the curve is [tex]$ x^2 + 12y^2 - 3072 = 0 $.[/tex]

Solve for W

A=2Lw+2Lh+2wh

Answers

A = 2LW + 2LH + 2WH....subtract 2LH from both sides
A - 2LH = 2LW + 2WH...factor out w on the left side
A - 2LH = W(2L + 2H) ....divide both sides by (2L + 2H)
(A - 2LH) / (2L + 2H) = W

Find the degree of the term -5x squared

Answers

The polynomial degree is 33, the leading term is 4x34x3, and the leading coefficient is 44.Polynomial Degree: 33Leading Term: 4x34x3Leading Coefficient: 4

-5x²

The degree of the term is 2, or quadratic

hope this helps

translate into an algebraic expression: the difference of six times a number and 8

Answers

6x-8 is the answer to the question

Between 2004 and 2010, the growth rate of the Florida Panther population was approximately 4%. What was the average annual growth rate?

Answers

Hello! So in order to find the annual growth rate, we have to divide the percentage by the number of years. 2004 and 2010 poses a gap of 6 years. We would have to set it up as 4/6. When you divide them, you would get 0.666 or 0.67 when rounded to the nearest hundredth. The average annual growth rate is about 0.67%.

is a integer a rational number

Answers

yes. it is. a rational number includes whole,natural and integers

Yes, it is. Integers, whole numbers, and natural numbers are all rational numbers.

A restaurant uses 44 pounds of potatoes for a party of 1212 people. If they are cooking potatoes for a party of 60 people, what should they do?

Answers

use 5 times more potatoes

What is the standard form of 14 ten thousands + 12 thousands

Answers

140000 + 12000 = 152000

hope this helps

Can the sum of two negative numbers ever be positive?

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no
two negatives equal positive, and one negative and one positive is i think negative

there can be a negative sum

Find y'' by implicit differentiation. 5x3 + 2y3 = 1

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[tex]\bf 5x^3+2y^3=1\implies 15x^2+\stackrel{chain-rule}{6y^2\cfrac{dy}{dx}}=0\implies 6y^2\cfrac{dy}{dx}=-15x^2 \\\\\\ \cfrac{dy}{dx}=\cfrac{-15x^2}{6y^2}\implies \cfrac{dy}{dx}=\cfrac{-5x^2}{2y^2}[/tex]

The value of y'' will be (- 5x/y² - 25x⁴/2y⁵).

What is implicit differentiation?

In implicit differentiation, we differentiate each side of an equation with two variables by treating one of the variable as a function of other.

Given that;

The equation is;

5x³ + 2y³ = 1

Now, Apply implicit differentiation rule we get;

5x³ + 2y³ = 1

After differentiation;

15x² + 6y² dy/dx = 0

dy/dx = - 15x² / 6y²

dy/dx = -5x²/2y²

Again differentiation;

d²y/dx² = -5/2 (y² × 2x - x² × 2y dy/dx) / y⁴

d²y/dx² = -5/2 (2xy² - 2x²y dy/dx) / y⁴

Substitute value of dy/dx;

d²y/dx² = - 5/2 (2xy² - 2x²y × -5x²/2y²) / y⁴

d²y/dx² = - 5/2 (2xy² + 5x⁴/y) / y⁴

d²y/dx² = - 5x/y² - 25x⁴/2y⁵

y'' = - 5x/y² - 25x⁴/2y⁵

Thus, The value of y'' will be (- 5x/y² - 25x⁴/2y⁵).

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How many gallons of a 80% antifreeze solution must be mixed with 60 gallons of 30% antifreeze to get a mixture that is 70% antifreeze?

Answers

Let x be the number of gallons.

(x)(80%) + (60)(30%) = (x+60)((70%)

0.8x + 18 = 0.7x +42

0.8x - 0.7x = 42-18

0.1x = 24

and x = 240 Gal.

Is a measure of dispersion that indicates how much scores in a sample vary around the mean of the sample?

Answers

The measure of dispersion that indicates how much scores in a sample vary around the mean of the sample is the standard deviation.

The measure is called STANDARD DEVIATION.
Standard deviation is a mathematical measure that is used to evaluate the difference between the mean value of a set of number and each value in the group. It is calculated as the square root of variance by determining the variation between each data point relative to the mean.

Lean wants to giftwrap a present she got for her little brother. how many square inches of giftwrap will be needed to cover a box that is 5in × 7in × 3in?

Answers

check the picture below.

so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.

the front and back are two 5x3 rectangles

the left and right are just two 3x7 rectangles

and the top and bottom are just two 5x7 rectangles

so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.

write each rate as a fraction in lowest terms.

4.20 for 36 potatoes

Answers

$4.20 / 36 = $0.11667 per potato

Something appears to be missing here. Did you mean $4.20 for 36 potatoes?

If so, write the fraction

$4.20
----------------
36 potatoes

and reduce it. 6 divides into both $4.20 and 36 without a remainder:

$0.70 and 6

Thus, the "rate" is 0.70 dollar for 6 potatoes, or 0.35 dollar for three.

If you wish you could rewrite this partially in words:

"Potatoes sell for $0.35/(3 potatoes)," or $0.1166 per potato, or about 12 cents per potato.

How many elements are in the set (A,B,C)

Answers

The answer is:
A has 25 elements
B has 30 elements
C has 35 elements

the answer to this question is 1 I believe

One book cost £1.99 how much do four books cost

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if 1 book costs 1.99.....then 4 books cost : (4 * 1.99) = $ 7.96 <==

[tex]1.99(4) = 4(2-0.01)[/tex]
[tex]4(2-0.01) = 8 - 0.04 = 7.96[/tex]

720,808 in expanded form with exponents

Answers

Wow! Lot of figuring for us to do here!
You'll need to determine how many times 2 is a factor of 720808, how many times 3 is a factor, and so on.

Suppose that 2 were a factor 6 times (just an example).

You'd write this particular factor of 720808 as 2^6.

The number 720,808 in expanded form with exponents is written as:

[tex]\[ 7 \times 10^5 + 2 \times 10^4 + 8 \times 10^2 + 8 \times 10^0 \][/tex]

To express 720,808 in expanded form with exponents, We break it down by place value and then represent each term using powers of 10. The breakdown is as follows:

700,000 : [tex]7 \times 10^5 \\[/tex]

20,000 : [tex]2 \times 10^4 \\[/tex]

800 : [tex]8 \times 10^2 \\[/tex]

8 : [tex]8 \times 10^0[/tex]

When we combine these, we get the expanded form:

[tex]\[ 7 \times 10^5 + 2 \times 10^4 + 8 \times 10^2 + 8 \times 10^0 \][/tex]

This representation helps in understanding the value of each digit based on its position in the number.

SIMPLIFY the expression! Please!

Answers

1+3^2 = 1+9 = 10

10/5 = 2

2-6+2 = -4+2

answer is -2

Your answer is -2 hope this helps!

caryssa makes bracelets to sell at craft fairs. The supplies she needed to start her business cost $45. In addition, the supplies for each bracelet cost her $3. She sells her bracelets for $5. What is the minimum number of braclets she must sell to make a profit?

Answers

at least 10 bracelets

23 because she makes $2 profit by selling bracelets. So she needs to get up to $46 in order to gain a profit. 2 x 23 bracelets = 46$

Shantel is studying for her history test. After 20 minutes she is 1/4 of the way done. How much longer will she study?

Answers

Shantel will need to study for 60 minutes more to complete her history review.

Shantel is studying history and after 20 minutes, she is [tex]\frac{1}{4}[/tex] of the way done.

To determine how much longer she will study, we need to calculate how much time is needed to complete the remaining [tex]\frac{3}{4}[/tex] of her study time.

[tex]\frac{1}{4}[/tex] of the study done in 20 minutes means she will study for 4 * 20 = 80 minutes in total.

To find out how much longer she needs to study, subtract the time she has already studied (20 minutes) from the total study time (80 minutes): 80 - 20 = 60 minutes.

Therefore, Shantel will need to study for 60 minutes more to complete her history review.

Generate a process that would generate random numbers between –1 and 1 for x and y positions of 10000 points and count how many points fall with the circle, then determine an estimated version of π. (see below to generate floating point random numbers. this generation is not needed to describe the process, but to implement the process)

Answers

#!/usr/bin/env python

import random
import math
count_inside = 0
for count in range(0, 10000): d = math.hypot(random.random(), random.random())
if d < 1: count_inside += 1
count += 1
print 4.0 * count_inside / count

Final answer:

The question is about using the Monte Carlo method to estimate the value of π, by generating random points in a square, counting how many fall inside a unit circle, and finally using this count to calculate π.

Explanation:

This question involves the implementation of a famous problem in computational mathematics known as the Monte Carlo method for estimating the value of π:

First, initialize a variable, say 'count', to 0. This variable will keep track of the number of points falling within the circle.Next, carry out a 'for' loop to generate 10000 points. Each point will have x and y coordinates, each a random floating point number between -1 and 1.For each generated point (x, y), calculate the distance from the point to the origin (0,0), which is sqrt(x^2 + y^2). If this distance is less than or equal to 1, it means that the point lies within the unit circle, so increment the 'count' variable by one.After all 10000 points have been generated and tested, 'count' will hold the total number of points lying within the circle. To determine an estimation of π, use the formula 4 * (count / total_number_of_points).

This process is based on the mathematical fact that the ratio of the area of a unit circle to the square it is inscribed in is π/4.

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The equation 22 + 0.15p =c

Answers

You have inadvertently left out some of the instructions for this problem.

22 + 0.15p =c could be solved for p; that's one thing you could do now.

Subtracting 22 from both sides, 0.15p = c - 22

Dividing both sides by 0.15, p = (c-22)/0.15 , or p = (20/3)(c-22).

Let a be a rational number and b be an irrational number. Which of the following are true statements?

A. The sum of a and b is never rational
B. The product of a and b is rational
C. b^2 is sometimes rational
D. a^2 is always rational
E. √a is never rational
F. √b is never rational

Answers

a and b would be correct

A car travels 182 miles in 3 hours and 15 minutes. How many miles does it travel per hour?

Answers

To solve this, we'll use the formula distance=rate*time. There's just one problem here: we need all of our time to be in the same units. Let's convert the 15 minutes into hours:
[tex]15min*\frac{1hour}{60min}=0.25hr[/tex]

Then we just use the formula:
[tex]d=182*0.25[/tex]

15 minutes = 15/60 = 0.25 hrs + the 3 hrs = 3.25 hrs

182 / 3.25 = 56 miles per hr

Find the quotient of 5/68

Answers

Use a calculator 5/68 = 5 ÷ 68 = ______

The answer for 5 divided by 68 is 0.073529411764706

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