Answer:
-3
Step-by-step explanation:
Rise/Run is the basic formula for slope. The rise is 3 and the run is -1, making the answer -3.
Lori read the total of 48 pages over 3 hours
Answer:
16 pages per hour
Step-by-step explanation:
48 ÷ 2 = 16 pages per hour
A rectangle has a length of x and a width of 6x3 + 1 − x2. Find the perimeter of the rectangle when the length is 8 feet.
The polynomial that models the perimeter of the rectangle is ?????
The perimeter is
feet ???
Answer:
6035ft
Step-by-step explanation:
Given data
Length=x
WIdth= 6x^3 + 1 − x^2
The expression for the perimeter is given as
P= 2L+2W
substitute
P=2(x)+2(6x^3 + 1 − x^2)
open brackets
P=2x+12x^3+3-2x^2
rearrange, the polynomial that models the perimeter of the rectangle is
=12x^3-2x^2+2x+3
Also, the perimeter when length x= 8 is
P=12x^3-2x^2+2x+3
P=12(8)^3-2(8)^2+2(8)+3
P=12*512-2*64+16+3
P=6144-128+19
P=6016+19
P=6035 feet
Hence the perimeter of the rectangle is 6035ft
whats the mean and median of 13, 1, 17, 6, 2, 111, 3?
Answer:
111
Step-by-step explanation:
(i)If the circumference of the circle is 88 cm ; Find the diameter.
(Take π = 22/7 )
Circumference of the circle = 88 cm
π = 22/7
To Find:The Diameter of the circle.
Formula:Circumference of circle = 2πr
r = radius
Solution:Circumference of the circle = 2πr = 88 cm
Circumference of the circle = πr = 88/2 = 44 cm
Circumference of the circle = r = 44 × 7/22 = 14 cm
r (radius) = 14 cm
d (diameter) = 2r = 2(14) = 28 cm
Answer:Diameter of the circle = 28 cm
TREVISION AVAILABLE
In a shopping survey of 225 people, 60% said they preferred to shop online. How many people
said they shop online?
135
20% of those people who shop online said they always get their order delivered. How many
people have shopping delivered?
27
Of the 40% of people in the survey who said they went in store to shop, only 60% of them said
they had loyalty cards. How many people had the cards?
Out of the 225 people surveyed, 135 said they shop online, 27 said they always get their order delivered, and 54 said they had loyalty cards.
To calculate the number of people who said they shop online, we can use the percentage given. If 60% of the 225 people surveyed said they prefer to shop online, we can find the number by multiplying the total number of people surveyed by the percentage:
Number of people who shop online = 225 * 0.60
Number of people who shop online = 135
Therefore, 135 people said they shop online.
To find the number of people who have shopping delivered, we need to calculate 20% of the number of people who shop online:
Number of people with shopping delivered = 135 * 0.20
Number of people with shopping delivered = 27
Hence, 27 people said they always get their order delivered.
Now let's calculate the number of people who had loyalty cards. First, we need to find the number of people who said they go in-store to shop. This is 40% of the total surveyed:
Number of people who go in-store to shop = 225 * 0.40
Number of people who go in-store to shop = 90
Out of these 90 people, only 60% said they had loyalty cards:
Number of people with loyalty cards = 90 * 0.60
Number of people with loyalty cards = 54
Therefore, 54 people said they had loyalty cards.
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1
Merko has an 80-1 scale-drawing of the floor plan of her house. On the floor plan, the dimensions of
her rectangular living room are 17 inches by 23 inches
Weat is the area of her real living room in square inches?
Answer:you need use a scale and the numbers that are provided of the dimensions of the room
Step-by-step explanation:
A model rocket is launched with an initial upward velocity of 195 ft/S the Rockets height H (in feet) after T seconds is given by the following. H= 195T -16 T^2 find all values for t for which the Rockets height is 87 feet. Round your answer to the nearest hundredth
The height, H (in ft), is related to time, T (in seconds), by the next equation:
\(H=-16T^2+195T\)Substituting with H = 85 ft we get:
\(\begin{gathered} 85=-16T^2+195T \\ 0=-16T^2+195T-85 \end{gathered}\)Applying the quadratic formula:
\(\begin{gathered} T_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ T_{1,2}=\frac{-195\pm\sqrt[]{195^2-4\cdot(-16)\cdot(-85)}}{2\cdot(-16)} \\ T_{1,2}=\frac{-195\pm\sqrt[]{32585}}{-32} \\ T_1\approx\frac{-195+180.5}{-32}\approx0.45\text{ seconds} \\ T_2\approx\frac{-195-180.5}{-32}\approx11.73\text{ seconds} \end{gathered}\)Molly and Memo combined ate 12 pieces of the wedding cake. Molly ate 4 pieces of cake and Memo had 1/4 of the total cake.
Answer: 36 Pieces In The Entire Cake
Step-by-step explanation: Memo had 1/4 pieces of the total cake, so that means that there were four times the value of what Memo ate in the cake, plus what Molly ate. 12 - 4 = 8, 8 times 4 is 32, and 32 plus 4 (what Molly ate) is 36. Hope that helped!
Part B Find the minimum initial height hmin at which the car can be released that still allows the car to stay in contact with the track at the top of the loop: Express your answer numerically; in meters_
The minimum equation initial height at which the car can be released and still stay in contact with the track at the top of the loop is 8.90 m.
hmin = 8.90 m
We can use the equation for centripetal force to solve for the minimum initial height hmin at which the car can be released and still stay in contact with the track at the top of the loop.
Fc = mv2/r
where Fc is the centripetal force, m is the mass of the car, v is the speed of the car, and r is the radius of the loop.
We know that the mass of the car is 250 kg, the speed of the car is 14 m/s, and the radius of the loop is 20 m.
We can rearrange the equation to solve for hmin:
Fc * r = m * v2
hmin = (m * v2) / Fc
hmin = (250 kg * (14 m/s)2) / (25000 N)
hmin = 8.90 m
The minimum initial height at which the car can be released and still stay in contact with the track at the top of the loop is 8.90 m.
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The product of 46 and a number added to the reciprocal of a number squared
The required equation modeled as of the given condition is 46x + 1 / x².
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
Let the number be x, and its reciprocal is 1/x
According to the question, the product of 46 and a number added to the reciprocal of a number squared is given as,
= 46 × x + 1/x²
= 46x + 1/x²
Thus, the required equation modeled as of the given condition is 46x + 1 / x².
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Find the sum of the first 8 terms of the fallowing sequence?
3,15,75,375 …
Answer:
\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)
PLEASE HELP
Use Table A-3 to find the range of values for the P-value of a right-tailed test with n = 25 and a test statistic of t = 0.430.
0.05 < P-value < 0.10
0.10 < P-value < 0.20
P-value > 0.10
P-value > 0.20
The answer is P-value > 0.10
481+114=__-116 need help
Answer:
711
Step-by-step explanation:
595=x-116
x=711
Therefore, 711
I hope this helped and have a good rest of your day!
x + 2∕5 = 1∕3 for x.
Answer:
?
Step-by-step explanation:
?
A circle with center w is shown in the figure below .
Step-by-step explanation:
(a). Radius = WX, WY or WT as they are all points going from the centre of the circle.
(b). Diameter = TX or XT as it goes through the circle points.
(c). Chord = UV or TX as it is two points that originate from the centre of the circle.
(d). The diameter is two times the radius, as the radius (WY = 3) we can find out that the diameter is 3 * 2 so 6.
40 POINTS PLEASE HELP ASAP YOU CAN SAVE MY LIFE WILL GIVE BRANLIEST
Which expression is equivalent to 8\sqrt(6)
A.\sqrt(14)
B.\sqrt(48)
C.\sqrt(96)
D.\sqrt(384)
Answer:
D. \sqrt(384)
Step-by-step explanation:
All you have to do is to expand the root the way I have done. I hope you understand and rate this answer well.
Don't forget 8 is the same as root(8) * root(8) which will give root(64) and the square root of 64 is 8.
When you form general ideas and rules based on your experiences and
observations, you call that form of reasoning
O A. deduction
B. conduction
C. induction
D. conjunction
Answer:
C. Induction
Step-by-step explanation:
Induction is a form of reasoning, in which a person forms general ideas and rules based on his or her experiences and observations. It is simply, the process of arriving at a conclusion based on a set of observations, which is not a valid method of proof.
Therefore, when one forms general ideas and rules based on his or her experiences and observations, we call that form of reasoning, inductive reasoning.
If four times my age is
increased by 20, the result is 80.
How old am I?
Which expressions are equivalent to 8(3/4y -2)+6(-1/2+4)+1
Answer: 6y + 6
Step-by-step explanation:
To simplify the expression 8(3/4y -2) + 6(-1/2+4) + 1, we can follow the order of operations (PEMDAS):
First, we simplify the expression within parentheses, working from the inside out:
6(-1/2+4) = 6(7/2) = 21
Next, we distribute the coefficient of 8 to the terms within the first set of parentheses:
8(3/4y -2) = 6y - 16
Finally, we combine the simplified terms:
8(3/4y -2) + 6(-1/2+4) + 1 = 6y - 16 + 21 + 1 = 6y + 6
Therefore, the expression 8(3/4y -2) + 6(-1/2+4) + 1 is equivalent to 6y + 6.
PLEASE HELP!
A poll is given, showing 45% are in favor of a new building project.
If 4 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?
The probability that exactly 3 out of 4 people chosen at random favor the new building project is 0.2904.
This problem can be solved using the binomial probability formula. Let X be the number of people who favor the new building project out of the 4 chosen at random. Then X follows a binomial distribution with parameters n = 4 and p = 0.45.
The probability of having exactly k people who favor the new building project out of 4 is given by:
P(X = k) = (4 choose k) * \(0.45^{k}\) * \(0.55^{4-k}\)
where (4 choose k) is the binomial coefficient.
To find the probability that exactly 3 of the 4 people favor the new building project, we substitute k = 3 in the above formula and evaluate:
P(X = 3) = (4 choose 3) * \(0.45^{3}\) * \(0.55^{1}\)
= 0.290384375
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If a $159 appliance is marked down to $89 what is the precent decrease?
Answer:
It is marked down 44.02%
Find the volume of each shape. Round your answer to two decimal places.
Answer:
25
Step-by-step explanation:
25
There are 60 flowers in a bouquet, 24 of which are yellow. What percent of the flowers are yellow?
Answer:
40%
Step-by-step explanation:
How to divide 250 divided by the power of ten
Answer:
Hello Adam Here!
Step-by-step explanation:
When multiplying by powers of 10, move the decimal point one place to the right for each power of ten. 2. When dividing by powers of 10, move the decimal point one place to the left for each power of ten. The following diagram shows how to multiply and divide numbers by powers of 10.
Hope This Helps From, Adam :)
A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
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Which of the following is an example of continuous data?
• A. The number of marbles selected at random from a bag
• B. The wait time at a bus station
C. How many windows there are in a house
• D. The sum of the numbers when two number cubes are rolled
The example that is a continuous data is B. The wait time at a bus station
Which of the example is a continuous data?From the question, we have the following parameters that can be used in our computation:
The list of options
By definition, a continuous data is a data that can take any value including decimals
From the list of options, we have:
B. The wait time at a bus station
The wait time can be 1.25 hour and it can be 1 hour ie. decimal and integer
Hence, the continuous data is B. The wait time at a bus station
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Simplify this expression (7p+3)+(5p-4)
Answer:
12p -1
Step-by-step explanation:
(7p+3)+(5p-4)
Combine like terms
7p+5p +3-4
12p -1
please help me please i really need help please
Step-by-step explanation:
right answer
...... y= 1/2x²
Which graph shows the image of ∠B after a rotation of 180∘ about the origin
IS IT A B OR C
PICK THE LAST 3 BECAUSE ONE OF THEM IS THE ANSWER
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)
Explain about the angle rotation of 180°:The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.
The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.
It is demonstrated to rotate 180 degrees around the origin.
From the question:
The coordinates of B are - B(1, -8).
Thus, the formula is (x,y)→(−x,−y) for a 180° rotation of the origin.
B' - (-1 ,-(- 8))
B' - (-1, 8)
The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)
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Answer:b
Step-by-step explanation:
Find the magnitude and direction of the vector r=(-4 6)
Step-by-step explanation:
The given vector is :
r = (-4,6)
We can write in the form of vector as follows :
r = -4i+6j
The magnitude of vector r is :
\(|r|=\sqrt{-4^2+6^2} \\\\=\sqrt{16+36} \\\\=7.21\)
For direction,
\(\tan\theta=\dfrac{y}{x}\\\\\theta=\tan^{-1}(\dfrac{y}{x})\\\\=\tan^{-1}(\dfrac{6}{-4})\\\\=-56.3^{\circ}\)
So, the magnitude is 7.21 and the direction is \(-56.3^{\circ}\)
Answer:
A. |r|=2√13, 56.3° N of W
Step-by-step explanation:
got it on edge :)