Step-by-step explanation:
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a foot ball team lost 4 yards, lost 3 yards and then gained 10 yards in three subsequent plays. what was their net change in yards after those three plays
PLISS HELP
what is -3 < p/2 < 0
Answer:
\(-6 \le p < 0\)
In interval notation, the solution is [-6, 0).
Step-by-step explanation:
\(-3 \le \dfrac{p}{2} < 0\)
Multiply the three sides by 2.
\(-3 \times 2 \le \dfrac{p}{2} \times 2 < 0 \times 2\)
\(-6 \le p < 0\)
In interval notation, the solution is [-6, 0).
Mr. Lopez wrote the equation 32 g + 8 g minus 10 g = 150 on the board. Four students explained how to solve for g.
Alyssa: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then subtracted 30 from 150 to find the value of g, which is 120.”
Rahul: “I added 32, 8, and 10 to get 50, and then I subtracted 150 to find the value of g, which is –100.”
Toni: “I subtracted 18 from 32 to get 14, which I then divided into 150 to find the value of g, which is 10 and StartFraction 5 Over 7 EndFraction.”
Wilhem: “I added 32 and 8 to get 40, subtracted 10 to get 30, and then divided both sides by 30 to find the value of g, which is 5.”
Which student’s work is correct?
Alyssa
Rahul
Toni
Wilhem
Mark this and return Save and Exit Next
Answer:
Willhem
Step-by-step explanation:
The given equation is
Step 1 : Add 32g and 8g.
Step 2: Subtract 10 from 40.
Step 3: Divide both sides by 30, find the value of g.
The value of g is 5.
Therefore, Wilhem is correct.
Answer:
Wilhem
Step-by-step explanation:
Factorise: 8x^3 + 27y^3 + 36x^2y + 54xy^2
Answer:
=(2x−3y)(2x−3y)(2x−3y)
Step-by-step explanation:
8x
3
−27y
3
−36x
2
y+54xy
2
=(2x)
3
−(3y)
3
−3×(2x)
2
×3y+3×2x×(3y)
2
Using,(a−b)
3
=a
3
−b
3
−3a
2
b+3ab
2
=(2x−3y)
3
=(2x−3y)(2x−3y)(2x−3y)
The proportional relationship between the numbers of ours, brooklyn works h and her total earnings in dollars and cents e can be represented by the equation e equals 22h how do how much does she make in dollars and cents per hour
The amount that she makes in dollars and cents per hour is $22 .
In the question ,
it is given that
there is a proportional relation ship between that number of hours Brooklyn worked and her total earning .
the equation that represents the relation ship is
e = 22 * h
where e is the total earning
and h is the number of hours Brooklyn worked .
to find , how much Brooklyn earns per hour , we substitute the h = 1.
On substituting h = 1 ,
we get
e = 22*(1)
e = 22
Therefore , The amount that Brooklyn makes in dollars and cents per hour is $22 .
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Jason's square bedroom has an area of 112 square feet. The length of one
of his room is between what two whole numbers?
Multiplying Radicals.
catori started biking to the mall traveling 15 mph, after some time the bike got a flat so catori walked the rest of the way, traveling 4 mph. if the total trip to the mall took 7 hours and it was 72 miles away, how long did catori travel at each speed?
Catori traveled for 7/2 hours at 15 mph and 4 hours at 4 mph.
Catori started biking to the mall at 15 mph and it took her x hours to travel y miles.
After x hours, her bike got a flat, so she had to walk the rest of the way. She walked at 4 mph, and it took her z hours to travel the remaining 72 miles to the mall.
Since the total trip to the mall took 7 hours, we can calculate that x + z = 7.
We can also calculate that y + 72 = 72.
Using these two equations, we can solve for x and z.
x + z = 7
y + 72 = 72
Subtract 72 from both sides of the second equation to get:
y = 0
Substitute 0 for y in the first equation to get:
x + z = 7
Solve for z:
z = 7 - x
Substitute 7 - x for z in the second equation to get:
y + (7 - x) = 72
Simplify the equation to get:
y = 72 - 7 + x
Substitute 72 - 7 + x for y in the first equation to get:
x + (7 - x) = 7
Simplify the equation to get:
2x = 7
Divide both sides of the equation by 2 to get:
x = 7/2
Substitute 7/2 for x in the equation y = 72 - 7 + x to get:
y = 72 - 7 + (7/2)
Simplify the equation to get:
y = 72 - (7/2)
Therefore, Catori traveled for 7/2 hours at 15 mph and 4 hours at 4 mph.
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Multiply the following polynomials
The product of (t + 5) and (t² + 3t + 10) is t³ + 8t² + 25t + 50.
What is polynomial?
A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.
We can use the distributive property to multiply these two polynomials:
(t + 5)(t² + 3t + 10) = t(t² + 3t + 10) + 5(t² + 3t + 10)
Now we need to simplify each of these terms:
t(t² + 3t + 10) = t³ + 3t² + 10t
5(t² + 3t + 10) = 5t² + 15t + 50
Putting them together, we have:
(t + 5)(t² + 3t + 10) = t³ + 3t² + 10t + 5t² + 15t + 50
Now we can combine like terms:
t³ + 8t² + 25t + 50
Therefore, the product of (t + 5) and (t² + 3t + 10) is t³ + 8t² + 25t + 50.
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Alli has $382.45 in her checking account and $450 in her savings account. She writes a check for $400. Alli’s bank automatically takes money from her savings to cover the amount of a check if the money in the checking account is not sufficient. Unfortunately for Alli, the bank also withdraws $25 from her savings account for this service.
Once the check has cleared, how much money does Alli have in her savings account?
$17.55
$17.55
$42.55
$42.55
$407.45
$407.45
$442.55
$442.55
Answer:
$407.45
Step-by-step explanation:
$382.45 $832.45 $432.45
+$450.00 -$400.00 -$ 25.00
$ 832.45 $432.45 $407.45
pleasee helpp mee asap
Answer:
a. Ans;
\((4a {b}^{5} )^{4} = ({4})^{4} ( {a})^{4} ({b}^{5} )^{4} = 256 {a}^{4} {b}^{20} \)
__o__o__
b. Ans;
\(2 {p}^{ \frac{1}{3} } = 6 \\ 2 \sqrt[3]{p} = 6 \\ \\ \sqrt[3]{p} = \frac{6}{2} \\ \\ \sqrt[3]{p} = 3 \\ \\( {p}^{ \frac{1}{3} }) ^{3} = {(3)}^{3} \\ \\ p = {3}^{3} \\ \\ p = 27\)
I hope I helped you^_^
About how many blocks are there per pound? round to the nearest block. 10 20 30 40
To estimate the number of blocks per pound, we need to divide the weight in pounds by the average weight of each block.
Given the options of 10, 20, 30, and 40 blocks, let's calculate the number of blocks per pound for each option:
10 blocks per pound: Each block would weigh approximately 1/10th of a pound.
20 blocks per pound: Each block would weigh approximately 1/20th of a pound.
30 blocks per pound: Each block would weigh approximately 1/30th of a pound.
40 blocks per pound: Each block would weigh approximately 1/40th of a pound.
Please note that the actual weight of each block may vary, and we are making estimates here.
Now, depending on the weight of each block, we can determine which option rounds to the nearest block.
For example, if the average weight of each block is 0.06 pounds, then:
10 blocks per pound would be closest to the actual weight, rounding to the nearest block.
Keep in mind that the actual weight of each block may differ, so this is just an example to demonstrate the calculation.
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I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answer:
See image
Step-by-step explanation:
Use Pythagorean Theorem
a^2 + b^2 = c^2
See image
In this activity, you will find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75 setting up the car wash, and they are charging $5 per car for a wash.
Answer:
16
Step-by-step explanation:
75/5 is 15 and in order to start making a profit than you have to wash 16 cars
hope this helps
Answer:
Step-by-step explanation:
The idea is to find out after what number car washed will they begin to make money. That means that this is an inequality. If they charge $5 per car, and the number of cars is our uknown, then the expression for that charge is 5x. If they need to make more than what they spent on setting up, they want to make more than $75, which looks like this: > 75. Putting that together:
5x > 75 and solving for x,
x > 15.
That means that they have to wash 15 cars to just break even and starting on the 16th car on up, they will see a profit.
Lance has 3 time as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?
Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
Lance is said to have 3 times the pencils Nick has.Let's keep the number of pencils Nick has as x.If Nick has x pencils that means Lance has 3x pencils. The total number of pencils present is 84.Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
The product of six and a number increased by six?
Answer: 6•(n+6)
Step-by-step explanation:
n is number
can be any letter
Answer:
6(n+6)
Step-by-step explanation:
the product means multiplication so you're going to need to multiply 6 by the number increased by 6. n represents the number, so n increased by 6 would be n+6. the parentheses represent the multiplication. put it together and you get the answer 6(n+6)
what is the difference in perimeters of one square that has a side length of 3/4 of an inch and another square that has a side length of 1/4 of an inch?
The difference in perimeters between the two squares is 2 inches.
Here, we have,
To find the difference in perimeters between two squares, we subtract the perimeter of the smaller square from the perimeter of the larger square.
Let's denote the side length of the larger square as S = 3/4 inch and the side length of the smaller square as s = 1/4 inch.
The perimeter of a square is given by the formula: P=4s, where s is the side length.
For the larger square with side length S = 3/4 inch, the perimeter P is:
P = 4 × 3/4
=3 inches
For the smaller square with side length s = 1/4 inch, the perimeter p is:
p = 4 × 1/4 =1 inch
The difference in perimeters is then:
Difference = P - p
so, we get,
Difference
=P - p
=3−1
=2 inches
Therefore, the difference in perimeters between the two squares is 2 inches.
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Regina spent $45.50 over 61/2 months on music downloads. If she spent the same amount of money each month, how much money, in dollars, did Regina spend per month on music downlo
Answer:
She spend $7 a month on downloads.
Step-by-step explanation:
y = the total spent on downloads
x = number of months
m = the amount spent each month
y = mx
45.50 = m(6.5) Divide both sides by 6.5
7 = m
This system is a flexible tool for data analysis, since its reports do not have a fixed format.
A. Management information system
B. Decision support system
C. Transaction processing system
D. Executive support system
Option - B : Decision support system is a flexible tool for data analysis, since its reports do not have a fixed format.
Decision support systems, a subset of business intelligence, are created to help organisations make sensible business decisions based on vast volumes of analysed data. Huge volumes of data are analysed using an interactive information system called a decision support system (DSS) to aid in the direction of business choices. A DSS aids management, operations, and planning levels of an organisation in making better decisions by assessing the importance of uncertainties and the tradeoffs involved in selecting one option over another. A DSS uses a variety of raw data, papers, personal knowledge, and/or business models to aid users in making decisions. A DSS may make use of relational data sources, cubes, data warehouses, electronic health records (EHRs), income projections, sales projections, and other sources.
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Help Please with these 2!
Thank you!
Answer:
if you multiply the denominator by the AB^3 by 7 you wll get your common factor
Step-by-step explanation:
Step-by-step explanation:
Question 15:
5(x - 9) - 2(x + 3)
= (5)(x) + (5)(-9) - (2)(x) - (2)(3)
= 5x - 45 - 2x - 6
= 3x - 51
= 3(x - 17).
Question 16:
The terms 36x, 18y and 9 have GCF of 9.
Hence 36x - 18y + 9 = 9(4x - 2y + 1).
h(-1) means that x is...
Answer:
-1
Step-by-step explanation:
h(x) is another way to say y. the "x" inside h(x) IS the x value
Need help please!!!!!!!
Answer:
First Option {-2 , 0 , 2}
Step-by-step explanation:
A critical point occurs when the derivative is 0 or undefined.
The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are
{-2 , 0 , 2}
Use the quotient rule to find the derivative of the function then equal it to zero
\(y=\frac{x^2-1}{x^2-4}\\\\\frac{dy}{dx}=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=\frac{(x^2-4)(2x)-(x^2-1)(2x)}{(x^2-4)^2}\\\\0=2x^3-8x-2x^3+2x\\0=-6x\\x=0\)
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Which statements describe the end behavior of f(x)?
Select two answers.
As x approaches ∞, y approaches −∞.As x approaches ∞, y approaches −∞.
As x approaches −2.5, y approaches ∞.As x approaches negative 2 point 5 textsf comma y approaches ∞.
As x approaches −∞, y approaches −2.5.As x approaches −∞, y approaches
As x approaches −2.5, y approaches −∞.As x approaches negative 2 point 5 textsf comma y approaches −∞.
As x approaches ∞, y approaches ∞.As x approaches ∞, y approaches ∞.
As x approaches ∞, y approaches −2.5.
A rectangular room is 20 feet by 12 feet. A scale drawing of the room has a perimeter of 16 inches. How many feet in the actual room is a distance of 2 inches in the scale drawing?
A distance of 2 inches in the scale drawing represents 8 feet in the actual room.
let's first find the scale factor of the scale drawing. The actual room has a perimeter of 2(20 ft + 12 ft) = 64 feet. The scale drawing has a perimeter of 16 inches. Since there are 12 inches in a foot, we convert the perimeter of the actual room to inches: 64 ft × 12 in/ft = 768 inches.
Now, we find the scale factor by dividing the scale drawing's perimeter by the actual room's perimeter in inches: 16 in / 768 in = 1/48. This means that each inch in the scale drawing represents 48 inches (or 4 feet) in the actual room.
Since 2 inches on the scale drawing represents a certain distance in the room, we multiply 2 in by the scale factor (1/48) and convert to feet: 2 in × (1/48) × 12 in/ft = 8 ft.
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Simplify the radical expression.
\(\sqrt[3]{-64a^{3} }\)
Answer:
Step-by-step explanation:
factor - 64 : -4 * -4 * -4
factor a^3: a * a * a
Cube root (-64*a^3) =
Cube root (-4*-4*-4 * a * a * a)
Answer: -4 * a
Reason. You are taking the cube root of a number. For every number under the root sign, number by 3 equal factors. Take one outside the root sign. Throw the other two away.
Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
Please help..this is due tomorrow morning.
Find the curvature of the curve r(t) = (5 cos(3t), 5 sin(3t), t) at the point t = 0 Give your answer to two decimal places
Given the curve $r(t) = (5 cos(3t), 5 sin(3t), t)$ and we need to find its curvature at the point $t = 0$.
Curvature is the measure of how quickly a curve changes its direction as compared to a unit tangent vector. A curve has curvature $\kappa$ at a point if its tangent vector is rotating at a rate of $\kappa$ about that point.The formula for the curvature $\kappa$ of a curve $r(t)$ is$$\kappa = \frac{\|r'(t) \times r''(t)\|}{\|r'(t)\|^3}$$Now, let's find the tangent and normal vectors and the radius of curvature.
The tangent vector to the curve is given by$$\mathbf{T}(t) = \frac{r'(t)}{\|r'(t)\|}$$Substitute $r(t) = (5 \cos 3t, 5 \sin 3t, t)$ and simplify to find the unit tangent vector,$$\mathbf{T}(t) = \frac{r'(t)}{\|r'(t)\|} = \frac{(-15 \sin 3t, 15 \cos 3t, 1)}{\sqrt{225 \sin^2 3t + 225 \cos^2 3t + 1}} = (-3 \sin 3t, 3 \cos 3t, 1/\sqrt{225})$$
The normal vector to the curve is given by$$\mathbf{N}(t) = \frac{\mathbf{T}'(t)}{\|\mathbf{T}'(t)\|}$$Differentiate the tangent vector and simplify,$$\mathbf{T}'(t) = (-9 \cos 3t, -9 \sin 3t, 0)$$Substitute $\mathbf{T}'(t)$ and simplify to find the unit normal vector,$$\mathbf{N}(t) = \frac{\mathbf{T}'(t)}{\|\mathbf{T}'(t)\|} = (-\cos 3t, -\sin 3t, 0)$$
The binormal vector is given by$$\mathbf{B}(t) = \mathbf{T}(t) \times \mathbf{N}(t)$$Substitute $\mathbf{T}(t)$ and $\mathbf{N}(t)$ and simplify to find the unit binormal vector,$$\mathbf{B}(t) = \mathbf{T}(t) \times \mathbf{N}(t) = (-1/\sqrt{225}, 0, -3/\sqrt{225})$$The radius of curvature is given by$$\rho = \frac{1}{\kappa} = \left\|\frac{d\mathbf{T}/dt}{\kappa}\right\| = \left\|\frac{\mathbf{N}'(t)}{\kappa}\right\|$$
Differentiate the normal vector and substitute it to find the radius of curvature,$$\mathbf{N}'(t) = (-3 \sin 3t, 3 \cos 3t, 0)$$$$\left\|\frac{\mathbf{N}'(t)}{\kappa}\right\| = \left\|\frac{(-3 \sin 3t, 3 \cos 3t, 0)}{\frac{\|r'(t) \times r''(t)\|}{\|r'(t)\|^3}}\right\| = \frac{225}{14}$$Finally, we get the curvature at $t=0$,$$\kappa = \frac{\|r'(0) \times r''(0)\|}{\|r'(0)\|^3} = \frac{\|(-15, 0, 1)\times(-45, -45, 0)\|}{\|(-15, 0, 1)\|^3} = \frac{15}{\sqrt{226}}$$
Thus, the curvature of the curve $r(t) = (5 cos(3t), 5 sin(3t), t)$ at the point $t=0$ is approximately 1.18 (rounded to two decimal places).
Here, the given curve is $r(t) = (5 cos(3t), 5 sin(3t), t)$. To find the curvature of the curve, first we have to find the unit tangent vector to the curve. From the definition, we have $\mathbf{T}(t) = \frac{r'(t)}{\|r'(t)\|}$. We have to differentiate the unit tangent vector and the derivative of $\mathbf{T}(t)$ is called the principal normal vector $\mathbf{N}(t)$, which is given by $\mathbf{N}(t) = \frac{\mathbf{T}'(t)}{\|\mathbf{T}'(t)\|}$.
Finally, the curvature of the curve is given by $\kappa = \frac{\|r'(t) \times r''(t)\|}{\|r'(t)\|^3}$ and the radius of curvature is $\rho = \frac{1}{\kappa} = \left\|\frac{d\mathbf{T}/dt}{\kappa}\right\| = \left\|\frac{\mathbf{N}'(t)}{\kappa}\right\|$.
By substituting the value $t=0$ in the formula for curvature we get, $\kappa = \frac{\|r'(0) \times r''(0)\|}{\|r'(0)\|^3} = \frac{\|(-15, 0, 1)\times(-45, -45, 0)\|}{\|(-15, 0, 1)\|^3} = \frac{15}{\sqrt{226}}$. Thus, the curvature of the curve $r(t) = (5 cos(3t), 5 sin(3t), t)$ at the point $t=0$ is approximately 1.18 (rounded to two decimal places).
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What is the difference between a population characteristic and a sample statistic?
engage
Answer: SEE EXPLANATION!
Step-by-step explanation:
Population Parameters versus Sample Statistics
A parameter is a value that describes a characteristic of an entire population, such as the population mean. ... A statistic is a characteristic of a sample. If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
The difference between Population characteristic and Sample statistic is discussed below.
What is Statistic?Statistics is a branch of applied mathematics that allows us to collect, describe and analyze the given set of data in order to make inference of conclusions on the given data set.
Given are two terms as population characteristic and a sample statistic.
Population characteristic refers to the characterization of various types of populations within a social or geographic group, with emphasis on demography, health status, and socio-economic factors. There are various characteristics of a population such as population size and density, populace spatial dissemination, age structures, birth rate or Natality and mortality rate.
Sample statistic represents the calculation that you measure from a subset of a larger group (the population).There are 5 types of sampling - Systematic, random, convenience, cluster and stratified.
Therefore, the difference between Population characteristic and Sample statistic is discussed above.
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△VEG≅△CHM. If VE = 18VE=18, find CHCH.
Answer:
girl what SOBS
Step-by-step explanation:
i dont know what language u speaking bur pop off girl
Dos hermanos , Juan de 12 años y Rafael de 15, reciben como herencia de su padre un terreno de cultivo de 36 hectáreas (ha).Si la repartición fue de forma proporcional a sus edades , ¿Cuantas hectáreas le tocará a cada uno?
Answer:
16 hectáreas y 20 hectáreas
Step-by-step explanation:
Aquí, debemos compartir las 36 hectáreas con respecto a la proporción de sus edades.
Lo primero que debe hacer aquí es colocar su edad de lado a lado y encontrar la relación con el término más bajo.
Por lo tanto; 12:15 al término más bajo es 4: 5 Entonces debemos compartir 36 hectáreas en la proporción 4: 5
Primero, sumamos ambos y tenemos 4 + 5 = 9
Entonces; 4/9 * 36 = 16 hectáreas
5/9 * 36 = 20 hectáreas