Mathematics College

Need help ASAP!!

At the beginning of a snowstorm, Hassan had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow was melting, how much snow would Hassan have on his lawn 5 hours after the snow began to fall? How much snow would Hassan have on his lawn after t hours of snow falling?

Answers

Answer 1

Answer:

14.5 inches of snow, S=T(H)+B

Step-by-step explanation:

This question is a linear equation. First, we will extract the important numbers

amount of snow at beginning=2

snow falling per hour=2.5

trying to find how much snow has fallen after 5 hours.

First, lets put this into an equation, variables will go as follows

total amount of snow=S

hours=H

snow at beginning=B

Rate of snow fall=T

Now, we make an equation

S=T(H)+B

Now, substitute the variables out

S=2.5(5)+2

Then, solve

S=12.5+2

S=14.5

For the second question, just put the equation you made as the answer

Related Questions

Find the first five terms of the following sequence, starting with n=1. tn=(−1)n+1(n2−9) Give your answer as a list, separated by commas. For example, if tn=n, you would give your answer as 1,2,3,4,5.

Answers

Answer:

-8, 5 , 0 , -7 , 16

Step-by-step explanation:

Given

$t_n = (-1)^{n+1}(n^2 - 9)$

Required

The first five terms

When $n = 1$

$t_1 = (-1)^{1+1}(1^2 - 9)$

$t_1 = (-1)^{2}(1 - 9)$

$t_1 = -8$

When $n =2$

$t_2 = (-1)^{2+1}(2^2 - 9)$

$t_2 = (-1)^3 * (4 - 9)$

$t_2 = 5$

$t_3 = (-1)^{3+1}(3^2 - 9)$

$t_3 = (-1)^{4}(9 - 9)$

$t_3 = 0$

$t_4 = (-1)^{4+1}(4^2 - 9)$

$t_4 = (-1)^5(16 - 9)$

$t_4 = -7$

$t_5 = (-1)^{5+1}(5^2 - 9)$

$t_5 = (-1)^{6}(25 - 9)$

$t_5 = 16$

So, the first five terms are: -8, 5 , 0 , -7 , 16

I NEED HELP ASAP PLEASE

Answers

Answer:

imma just take these points rq thx

Step-by-step explanation:

Use the partial quotients method to find 1032/32 division Upload a photo of your work

Answers

By using the partial quotients method 1032/32 = 32 R8.

What is expression?

In mathematics, an expression is a combination of numbers, symbols, and operators that represents a mathematical quantity or relationship. It can be a single number, a variable, or a combination of both, and can also include mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. Expressions can be evaluated or simplified using mathematical rules and formulas.

According to the given information:

Step 1: Estimate how many times 32 goes into 1032. It's helpful to find a multiple of 32 that is close to 1032. In this case, 32 x 30 = 960, which is less than 1032, and 32 x 31 = 992, which is greater than 1032. So we can estimate that 32 goes into 1032 around 30 to 31 times.

Step 2: Write 30 on top of a division symbol, and multiply 30 by 32. Write the result, 960, under 1032, and subtract.

-------

32|1032

960

------

Step 3: Write 72 next to the 30 on top of the division symbol. Then, add 72 to the partial quotient (30) to get 102. Write 102 under the partial difference (72) and bring down the next digit, which is 2.

30 72

-------

32|1032

960

------

step 4: Estimate again how many times 32 goes into the new partial difference, 82. Since 32 x 2 = 64 is less than 82 and 32 x 3 = 96 is greater than 82, we estimate 32 goes into 82 two to three times.

Step 5: Write 2 on top of the division symbol, and multiply 32 by 2. Write the result, 64, under 82, and subtract.

30 72 2

------------

32|1032

960

------

tep 6: Write 2 next to the 30 and 72 on top of the division symbol, and add 2 to the partial quotient to get 32. Write 32 under the partial difference and bring down the next digit, which is 0.

30 72 2

------------

32|1032

960

------

Step 7: Since there are no more digits to bring down, we have the final answer. The quotient is 32 with a remainder of 8. Therefore, 1032 divided by 32 is equal to 32 with a remainder of 8.

Therefore, by using the partial quotients method 1032/32 = 32 R8 .

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Which compound has the greatest difference between its boiling point and its melting point? What is the difference? Explain your reasoning?

Answers

Answer: Proponal. Difference is 224.7

Step-by-step explanation:

Evaluate the expression. 8+12x7

Answers

Answer:

Step-by-step explanation:

We first do 12x7 which equals to 84

Then we add 8 which equals to 92

What is the distance between the points (15,-17) and (-10,-17) in the coordinate plane?
A. 12.5 units
B. 25 units
C. 32 units
D. 5 units

Answers

Hello and Regards zoecenters91522.

Therefore, the distance between the points (15,-17) and (-10,-17) is 25 units.

Step-by-step explanation:

The distance between two points is the measure of the length of the straight line that joins them. On a Cartesian plane, the distance between two points is calculated using the Euclidean distance formula, which states that the distance between two points (x₁, y₁) and (x₂, y₂) is equal to the square root of the sum of the squares of the differences of their coordinates:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

This formula can be used to calculate the distance between two points on any plane, such as a three-dimensional plane or Euclidean space of any dimension.

Now we locate the points of x and y.

x₁ = 15, y₁ = -17x₂ = -10, y₂ = -17

We substitute the points in the formula and solve:

$\huge \boxed{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} }$

$\huge \boxed{d=\sqrt{(-10-15)^2+(-17-(-17))^2 } }$

$\huge \boxed{d=\sqrt{(-25)^2+0^2}=\sqrt{625+0} }$

$\huge \boxed{d=\sqrt{625}=25 \ units }$

Therefore, the distance between the points (15,-17) and (-10,-17) is 25 units.

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The sum of 7 and the cube of a number.

Answers

Answer:

7+x3

Step-by-step explanation:

Sum means to add the addends together. A number is a word form of a variable, and you are cubing that number which is multiplying that number by itself three times.

please help I don't know how to do

Answers

Answer:

9y+7=2y+98

5y=91

y=91\5

Please help me please

Answers

Step-by-step explanation:

T = (1,7) → T' = (1-5,7-10) = (-4,-3)

S = (1,0) → S' = (1-5,0-10) = (-4,-10)

U = (8,7) → U' = (8-5,7-10) = (3,-3)

V = (8,0) → V' = (8-5,0-10) = (3,-10)

Find each missing measure.

PLSS help

Answers

Step-by-step explanation:

180-68-41= 71°

180-47-16=117

m<1= 180-68-77= 35°

m<2= 77°

m<3 = 180-90-41= 49°

m<4 = 180-41-62= 77°

m<5= 90-28= 62°

m<6= 180-49-103= 28°

Suppose that a particle moving along the x-axis encounters a resisting force that results in an acceleration of a =-=-0.10 V v. Given that x = 0 cm and v = 36 cm/s at time t = 0, find the velocity v and position x as a function of t for t 2 0. v= 2 cm/s Edit C x= 2 cm

Answers

The velocity of the particle v as a function of time t is given by v(t) = 36 - 0.10 * t^2 cm/s and the position x as a function of time t is given by x(t) = 36 * t - 0.05 * t^3 cm.

The problem states that at time t = 0, the particle has an initial velocity of v = 36 cm/s and is located at x = 0 cm. The particle is accelerating with a=-0.10 V v. This means that the velocity of the particle is changing by -0.10 V v each second. This can be expressed in terms of the time t as v(t) = 36 - 0.10 * t^2 cm/s. The position of the particle at any time t can be expressed as x(t) = x0 + v0 * t + 1/2 * a * t^2, where x0 is the initial position and v0 is the initial velocity. In this case, x0 = 0 and v0 = 36, so the position of the particle at any time t can be expressed as x(t) = 36 * t - 0.05 * t^3 cm. This means that the particle will move away from the origin (x=0) and its velocity will decrease each second.

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The students in Mrs. Mangione's class attempt to guess the number of marbles in a jar to earn 2 extra credit points on their next exam. Suppose there are 1206 marbles in a jar and a student makes a guess of m marbles. Which expression represents the difference between the student's guess and the actual number of marbles.

Answers

The expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.

Given that there are 1206 marbles in the jar and student makes a guess of m marbles.

We are required to find the expression that represents the difference between the student's guess and the actual number of marbles.

Expression is the combination of numbers, symbols, fraction, coefficients and are found to be without the equal to sign.

Total number of marbles in the jar=1206

Number of marbles that student guesses=m

The expression that shows the difference between the student's guess and the actual number of marbles is m-1206.

Hence the expression which reflects the difference between the student's guess and the actual number of marbles is m-1206.

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The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.

Answers

Answer:

Step-by-step explanation:

The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have

A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

What is Ratio?

Ratio is a concept in mathematics used to compare two things.

It is denoted by a : b.

A ratio can be represented as fractions also like a/b.

In the question, it is given that the ratio of boys to girls is 3 to 4.

A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4

Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.

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The profit a company makes from producing x tabletops is modeled by the equation P(x) = 480% - 2x For what
number of tabletops does the company make a profit of $0?

Answers

Answer: 240 tabletops

100 POINTS
Solve x4 - 10x² + 9 = 0.

Answers

Answer:

$x=\pm1 \:\textsf{or}\:x=\pm3$

Step-by-step explanation:

$x^4-10x^2+9=0$

$\textsf{let}\:x^2=y$

$\implies y^2-10y+9=0$

To factor a quadratic in the form $ax^2+bx+c$, find 2 two numbers that multiply to $ac$ and sum to $b$.

⇒ two numbers that multiply to 9 and sum to -10: -9 and -1

Rewrite $b$ as the sum of these 2 numbers:

$\implies y^2-y-9y+9=0$

Factorize the first two terms and the last two terms separately:

$\implies y(y-1)-9(y-1)=0$

Factor out the common term $(y-1)$:

$\implies (y-9)(y-1)=0$

$\implies (y-9)=0 \implies y=9$

$\implies (y-1)=0 \implies y=1$

Change $y$ back to $x^2$:

$\implies x^2=9\implies x=\pm3$

$\implies x^2=1\implies x=\pm 1$

$\textsf{So}\: x=\pm1 \:\textsf{or}\:x=\pm3$

Answer:

$$x=\pm1\;\textrm{or}\;x=\pm3$$

Step-by-step explanation:

Substitute $u = x^2$ into the equation. This will make the quadratic formula easy to use.

$\implies u^2 - 10u + 9 = 0$

Consider the form $x^2 + bx + c = 0$. Find a pair of integers whose product is $c$ and whose sum is $c$. In this case, whose product is $9$and whose sum is $10$. And write the factored form using the integers.

$\implies (u - 9)(u - 1) = 0$

If any individual factor on the left side of the equation is equal to $0$, the entire expression will be equal to $0$.

$\implies \begin{cases}u - 9 = 0 \\ \\ u - 1 = 0\end{cases}$

Set $u - 9$ equal to $0$ and solve for $u$. Similarly, Set $u - 1$ equal to $0$ and solve for $u$.

$\implies \begin{cases}u = 9 \\ \\ u = 1\end{cases}$

Substitute the real value of $u = x^2$ back into the solved equation.

$\implies \begin{cases}x^2 = 9 \\ \\ x^2 = 1\end{cases}$

Take the square root of both sides of the equations to eliminate the exponent on the left side.

$\implies \begin{cases}x = \sqrt{9} \\ \\ x = \sqrt{1}\end{cases}$

Solve both the equations for the value of $x$.

$\implies \begin{cases}x = \pm3 \\ \\ x = \pm1\end{cases}$

Hence, this is our required solution for this question.

$\rule{300}{1}$

Additional information:

There are three ways to solve a quadratic equation:

FactoringComplete the SquareQuadratic Formula

Factoring uses the logic that the product of any number and zero is zero. Complete the square method uses square root, and the quadratic formula is the simpler method of it.

Quadratic Formula $x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}$

3. The Shortest Side of a triangle with Perimeter 35cm is 5cm Calculate the length of the other two sides of the triangle if they are in GP

Answers

Step-by-step explanation:

a,ar,ar

shortest side is 9cm.

1kg apple =100 rupee so 200gm apple =?

Answers

Answer:

20,000 rupee or 20 rupee

Step-by-step explanation:

if you saying grams then its 20 rupee if your talking about kgs then its 20,000

Cómo saber el valor de caja en un balance general, cuando desconozco ese valor, pero si tengo los demás valores?

Cmo saber el valor de caja en un balance general, cuando desconozco ese valor, pero si tengo los dems

Answers

Based on the business information, we can establish that the cash value in a balance sheet is Bs. 33,500.

How to find cash value on a balance sheet?

To find the cash value in a balance sheet we must perform the following procedure:

We must find the difference between the passives and assets of the business as shown below:

Assets

Furniture and fixtures = Bs. 7,000 Computer equipment = Bs. 2,500Initial inventory = Bs. 4,000 Capital = BS. 30000

Passives

Documents payable Bs. 10000

According to the above, the operation is as follows:

7000 + 2500 + 4000 + 30000 = 4350043500 - 10000 = 33500

According to the above, the cash value in a balance sheet would be Bs. 33,500.

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What is the answer

10(4 - 3i) =

Answers

Answer:

40-30i

Step-by-step explanation:

Use distributive property.

Answer:

40-30i

Step-by-step explanation:

10x4–10x3i 40–10x3i 40–30ians: 40–30i

I. NEED. HELP. NOW. PLEASE.

THIS IS DUE IN 3 HOURS

Answers

Answer:

1. $670

2.$920

3.$1500

4.$2100

Step-by-step explanation:

Hope it was fast enough & helpful .

Good luck ^^

The quotient of a number and -2/3 is -9/10. What is the number?

Answers

Answer:

It's 0.6

Step-by-step explanation:

the level of confidence of a test of hypothesis is denoted by

Answers

The level of confidence of a test of hypothesis is denoted by a percentage value, usually denoted by α, which is also known as the significance level or alpha level. The confidence level represents the probability that the null hypothesis will be rejected when it is actually true. For example, if the significance level is set at 5%, then there is a 5% chance of rejecting the null hypothesis when it is actually true. Generally, the confidence level is set at 95% or 99%, which means that there is a 5% or 1% chance, respectively, of rejecting the null hypothesis when it is actually true.

if 25 articles cost $43.75 how much does each cost?

Answers

Answer:

$1.75

Step-by-step explanation:

I had this question and got it right!

PLEASE HELP I WILL GIVE BRAINLIEST!!
Mike and his sister did some laundry at the laundromat. To wash a load costs $2 and to dry a load costs another $2. Mike and his sister washed and dried 4 loads of laundry. They also had to buy 4 packets of detergent for $1 per packet. How much money did Mike and his sister spend to do their laundry?

a) $16

b) $28

c) $12

d) $20

Answers

Answer:

answer is d) $20

Step-by-step explanation:

because 2x4=8 + 2x4=8 = $16 then 4 packets for $1 is $4 16+4= $20

Answer:

D) $20

Step-by-step explanation:

Wash plus dry = $4

$4 times 4 times = $16

$1 for one detergent times the four packets = $4

Total is $20

Subtract the equation
-7 - 12 =

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

Step-by-step explanation:

At an arcade, a book of 20 tickets costs $5, a book of 30 tickets costs $7, and a book of 50 tickets costs $10. Would a graph of the relationship between price and number of tickets in a book be a straight line? Explain.

Answers

Answer:

yes

Step-by-step explanation:

Find the lateral area of the given figure.

Answers

Answer:

About 219.82

Step-by-step explanation:

Sorry to ask but can I have brainliest

Match each pair of points a and B to point C such that ABC equals 90°

Answers

I don't really get what you mean

grace thought of a number, added 7, multiflied by 3, took away 5 and divided by 4 to give an answer of 7

Answers

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

What is the point-slope form of the line with slope

2
5
that passes through the point
-
4
,

-
7
?

Answers

The equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)

How to determine what equation, in point-slope form, matches the graphed line?

The point on the line is given as

Point = (4, -7)

The slope (m) of the line is given as

m = 2/5

The linear equation is then represented as

y - y1 = m(x - x1)

So, we have

y + 7= 2/5(x - 4)

Hence, the equation, in point-slope form, matches the graphed line is y + 7= 2/5(x - 4)