Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
yis inversely proportional to the square of x.
A table of values for x and y is shown.
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
(a) [tex]y = \frac{4}{x^2}[/tex]
(b) [tex]x = \frac{2}{5}[/tex]
Step-by-step explanation:
Given
Variation: Inverse proportional.
This is represented as:
[tex]y\ \alpha\ \frac{1}{x^2}[/tex]
See attachment for table
Solving (a):
First convert variation to equation
[tex]y = k\frac{1}{x^2}[/tex]
From the table:
[tex](x,y) = (1,4)[/tex]
So, we have:
[tex]4 = k * \frac{1}{1^2}[/tex]
[tex]4 = k * \frac{1}{1}[/tex]
[tex]4 = k * 1[/tex]
[tex]4 = k[/tex]
[tex]k = 4[/tex]
Substitute 4 for k in [tex]y = k\frac{1}{x^2}[/tex]
[tex]y = 4 * \frac{1}{x^2}[/tex]
[tex]y = \frac{4}{x^2}[/tex]
Solving (b): x when y = 25.
Substitute 25 for y in [tex]y = \frac{4}{x^2}[/tex]
[tex]25 = \frac{4}{x^2}[/tex]
Cross Multiply
[tex]25 * x^2 = 4[/tex]
Divide through by 25
[tex]x^2 = \frac{4}{25}[/tex]
Take positive square roots of both sides
[tex]x = \sqrt{\frac{4}{25}[/tex]
[tex]x = \frac{2}{5}[/tex]
At Soap and Suds there are
16 washing machines in a single row
with no space between each one. Each
washing machine is 2 feet 5 inches
across. What is the total length of
the 16 washing machines?
Answer
112
Step-by-step explanation:
The half-life of helium-5 is 7.6 × 10-22 seconds, and the half-life of helium-9 is 7 × 10-21 seconds. Approximately how many times greater is the half-life of helium-9 than that of helium-5?
Answer:
Step-by-step explanation:
If 10-22 means 10⁻²², you need to use a ^ to indicate the exponent: 10^(-22)
(7×10⁻²¹)/(7.6×10⁻²²) = (7×10⁻²¹)/(0.76×10⁻²¹) = 7/0.76 ≅ 9.2
When you run your average step length is 42 inches how many steps would you have to take to run 1 mile run to the nearest 10th
Answer:
1508.6 steps
Step-by-step explanation:
one mile = 5280 feet
42 inches = 3.5 feet
5280 / 3.5 = 1508.57
How do you find the volume of a shape with 2 different heights and 1 extra block on the width??
PLEASE HELP THIS ASSIGNMENT IS DUE TOMORROW!!
Question unclear
Step-by-step explanation:
If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape. Please add a picture of the shape.
Answer:
If it is a trapezoid, you can simply find the average of the two base lengths, but I can't help much without seeing the shape. Please add a picture of the shape.
Step-by-step explanation:
Arionna needed to graph triangle PQR reflected across the y-axis. Her work is shown below. Arionna’s Work: Blue right-arrow red. P (3,7) right arrow P prime (3, negative 7). Q (0, 4) right-arrow Q prime (0, 4). R (5, 8) right-arrow R prime (negative 5, 8). Arionna’s Graph On a coordinate plane, a red triangle has points (negative 7, 3), (negative 5, 8), (0, 4). A blue triangle has points (0, 4), (3, 7), (5, 8). Which statements identify her errors? Check all that apply. Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value. Arionna did not find the correct value for Q’. All points in a reflection will move. Arionna did not find the correct value for R’. She should have negated the y-value, not the x-value. Arionna’s red triangle should be reflected below the horizontal axis rather than across the vertical axis. Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.
Answer:
A and E
Step-by-step explanation:
...
Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.
What is cartesian plane?A two-dimensional coordinate plane called the cartesian plane is what is created when the x- and y-axes cross. The origin is the place where the x-axis and y-axis meet perpendicularly.
A pair of perpendicular lines connect to create the cartesian plane, a two-dimensional coordinate plane. The term "Y-axis" refers to the vertical line, whereas "X-axis" refers to the horizontal line. The Cartesian coordinate point (x, y) indicates that the point's horizontal and vertical distances from the origin, respectively, are x and y, respectively. If x has a positive sign, the point will be to the right of the origin.
Given, Arionna needed to graph triangle PQR reflected across the y-axis.
Arionna’s Work:
Blue right-arrow red. P (3,7) right arrow P prime (3, negative 7). Q (0, 4) right-arrow Q prime (0, 4). R (5, 8) right-arrow R prime (negative 5, 8).
Reflection across y axis
(x , y) becomes ( - x , y)
P ( 3 , 7) P ' ( 3 , -7) The correct solution should have been ( -3 , 7),
Q ( 0 , 4) Q' ( 0 , 4) This is correct,
R (5 , 8) R' (-5 , 8) This is correct,
Arionna was unable to determine P's proper point. Not the y-value, but the x-value should have been negated instead.
The graph of Arionna
The points of a red triangle on a coordinate plane are (-7, 3), (-5, 8), and (0, 4).
When graphing P"s coordinates (3, -7), Arionna reversed their order.
A blue triangle has points (0, 4), (3, 7), (5, 8).
Hence Arionna Graph is attested in image.
Learn more about cartesian plane;
https://brainly.com/question/28574364
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Use complete sentences to describe the relationship between the two sets A and B if ACB.
Answer:
The relationship between the two sets A and B if A ⊆ B is A is subset of B
Step-by-step explanation:
A = {1,2,3,4,5}
B = {1,2,3,4,5,6,7,8}
All Elements of set A {1,2,3,4,5} are present in set B
we relate set A and set B as A ⊆ B,which means set A is subset of set B. Symbol “⊆” is used to denote subset
So set A is subset of set B (A ⊆ B)
Write an equation in standard form that has a slope of –5/2 and a y-intercept of –2.
Answer:
-5/2+-2
Step-by-step explanation:
Solve 2x2 + 20x = -8
Answer:x=-5/11
Step-by-step explanation:
2x+2+20x=−8
Step 1: Simplify both sides of the equation.
2x+2+20x=−8
(2x+20x)+(2)=−8(Combine Like Terms)
22x+2=−8
22x+2=−8
Step 2: Subtract 2 from both sides.
22x+2−2=−8−2
22x=−10
Step 3: Divide both sides by 22.
22x/22=-10/22
evaluate the expression 6^2 + x-x^2 for x=3
Answer:
30
Step-by-step explanation:
Given the following mathematical expression;
6² + x - x²
When x = 3
Thus, we would substitute the value of "x" into the expression;
36 + 3 - (3)²
Applying BODMAS (Bracket of Division, Multiplication, Addition and Subtraction).
36 + 3 - 9
39 - 9
30.
what's the area of a triangle, rectangle, parallelogram
Answer:
Triangle Area = ½ × b × h b = base h = vertical height
Rectangle Area = w × h w = width h = height
Parallelogram Area = b × h b = base h = vertical height
Step-by-step explanation:
:)
Answer:
area
triangle = 1/2 x base x height
rectangle = base x height
parallelogram = base x height
Step-by-step explanation:
A lacrosse coach has $275 to spend on equipment. He buys 3 goals for $75 each. Mouth guards cost $5 each . how many mouth guards can the coach buy?
Answer:
10
Step-by-step explanation:
275 - (75*3). This is the money he has left.
Divide that by 5 to get 10 mouthguards.
Answer:
10
Step-by-step explanation:
3 times 75=225 275-225=50 50/5=10
A random sample of 362 married couples found that 286 had two or more personality preferences in common. In another random sample of 556 married couples, it was found that only 32 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
A) Find a 95% confidence interval for p1 and p2.
B) Examine the confidence interval in part (a) and explain what it means in the context of this problem. Does the confidence interval contain all positive, a negative or both positive and negative numbers? What does this tell you about the proportion of married couples with three personality preferences in common compared with the proportion of couples with two preferences in common (at the 95% confidence level)?
1) Because the interval contains only positive numbers, we can say that a higher proportion of married couples have three personality preferences in common.
2) Because the interval contains both positive and negative numbers, we can not say that a higher proportion of married couples have three personality preferences in common.
3) We can not make any conclusions using this confidence interval.
4) Because the interval contains only negative numbers, we can say that a higher proportion of married couples have two personality preferences in common.
Answer:
A find a 95% confidence interval for p1 and p2
Step-by-step explanation:
The answer is 1)
You’re going to need a drink with your dog. There are deals now on their soda: 12 oz - $1.29 or 14oz.- $1.49 What’s the better deal?
A school has a triangular grass field for the kids to play on.
What was the area of the grass field?
pls help me look at the pic
9514 1404 393
Answer:
(b) 540 boxes
Step-by-step explanation:
The 28 foot depth of the trailer will accommodate 18 boxes (leaving 1 ft unfilled).
The 8 1/2 foot width of the trailer will accommodate 5 boxes (leaving 1 ft unfilled).
The 9 1/6 foot height of the trailer will accommodate 6 boxes (leaving 1/6 ft unfilled).
The collection of boxes filling the trailer is 18 deep, 5 wide, and 6 high, for a total of ...
18 × 5 × 6 = 540 boxes
_____
In each case, the number of boxes that will fit is the dimension divided by the dimension of the box. The result is the integer part of the quotient. For example, ...
(28 ft)/(3/2 ft/box) = 56/3 box = 18 2/3 box . . . 18 boxes will fit
Solve this following system by graphing
X-y=4
X+y=2
Answer:
The answer is x = 3 and y = -1
Step-by-step explanation:
If you were to graph the two lines, their equations would be y = x - 4 and y = -x + 2. The two lines intersect at the point (3, -1), so the solution to the system is x = 3 and y = -1.
4. A company makes two kinds of trading cards.
Regular cards are $0.40 each and premium
cards that cost $0.65 each. A box of 25 assorted
cards sells for $14. How many of each card type
are included?
Joe is learning to play the trumpet. On monday he practiced from 6:30 until 7:05. On Tuesday he practiced from 3:55 until 4:15. How many minutes did he practice in all over the two days?
Answer:
55 minutes
Step-by-step explanation:
The amount of time that is needed to pass to change 6:30 into 7:05 is 35 minutes. The amount of time that is needed to pass to change 3:55 to 4:15 is 20 minutes. If you add the time Joe practiced on Monday and Tuesday altogether it's 55 minutes.
Hope I could help! :)
A teacher tells 6 students the title of the
next school play. Those 6 students each
tell the title to 6 students. Then those
additional students each tell the title to 6
students. How many students have been
told the title of the next play?
Answer:
18 students have been told the title of the next play
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
6 times 6 plus 6
Solve by substitution: 5x+y=-13 and y=7
Answer: 4/7
Step-by-step explanation: Multiply each equation by the value that makes the coefficients of
y
opposite.
5
x
+
2
y
=
7
(
2
)
⋅
(
3
x
−
y
)
=
(
2
)
(
13
)
Simplify.
Tap for more steps...
5
x
+
2
y
=
7
6
x
−
2
y
=
26
Add the two equations together to eliminate
y
from the system.
5
x
+
2
y
=
7
+
6
x
−
2
y
=
2
6
1
1
x
=
3
3
Divide each term by
11
and simplify.
Tap for more steps...
x
=
3
Substitute the value found for
x
into one of the original equations, then solve for
y
.
Tap for more steps...
y
=
−
4
The solution to the independent system of equations can be represented as a point.
(
3
,
−
4
)
The result can be shown in multiple forms.
Point Form:
(
3
,
−
4
)
Equation Form:
x
=
3
,
y
=
−
4
homework 1 relations domain range and functions 3-8
Answer:
Step-by-step explanation:
Domain - Set of x-values
Range - Set of y-values
3). Since, x values vary from x = -6 to x = 5,
Domain of the graph = [-6, 5]
Since, y-values vary from y = -2 to y = 3
Range of the graph = [-2, 3]
4). Domain of the graph = [-3, 3]
Range of the graph = [-6, 5]
5). Domain of the graph = (-∞, ∞)
Range of the graph = (-∞, ∞)
6). Domain of the graph = (-∞, 4]
Range of the graph = (-∞, ∞)
7). Domain of the graph = (-∞, ∞)
Range of the graph = [-1, 5]
8) Domain of the graph = [-1, 5)
Range of the graph = [-3, 3)
Answer:
Step-by-step explanation:
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
Please help me out!
Answer for 5 stars answer and a heart with a comment. Please hurry!
Here is a diagram of a person standing next to a lorry.
The diagram shows two centimetre rulers.
The person and the lorry are drawn to the same scale.
The lorry is approximately 9.5 m in length.
Using the scale diagram, estimate the height of the person in metres.
Answer:
Length of the person = 1.9 m
Step-by-step explanation:
Actual length of the lorry = 9.5 m
Length of the lorry as per scale = 10 cm
Scale factor used to get the actual length of the lorry = [tex]\frac{\text{Actual length}}{\text{Length on scale}}[/tex]
= [tex]\frac{9.5}{10}[/tex]
= 0.95 : 1
Let the actual length of the person = x meters
Length of the person as per scale = 2 cm
Scale factor used to get the length of person is same.
Therefore, relation between the actual length of the person and scale length will be,
[tex]\frac{x}{2}= \frac{0.95}{1}[/tex]
x = 2 × 0.95
x = 1.9 meters
The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes. Find the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus. Round your answer to three decimal places.
Answer: 0.0208
Step-by-step explanation:
Given: The length of time to find a parking spot on the UW campus is normally distributed with a mean of 4.75 minutes and a standard deviation of 1.35 minutes.
Let x = time taken to find parking spot
The probability that a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus will be :
[tex]P(x<2)=P(\dfrac{x-\mu}{\sigma}<\dfrac{2-4.75}{1.35})\\\\=P(Z<-2.037)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<2.037)\\\\=1- 0.9792=0.0208\ \ \ \text{[By p-value table]}[/tex]
Hence, the probability than a randomly selected driver takes less than 2 minutes to find a parking spot on the UW campus.= 0.0208
Where is the blue dot on the number line?
-6.5
-7
1. Adan and Darlene have entered the Pythagorean Lake Endurance Trial. Part of the
competition requires them to travel from Geoville, which is on the south side of the lake,
to Triple City, which is across the lake and due north of Geoville. Adan decides to ride
his scooter from Geoville to Angle Point, which is 20 miles due east of Geoville, and then
continue on to Triple City. There is a direct route that runs in a straight line for 25 miles
from Angle Point to Triple City. Adan's scooter can go no faster than 35 mph. Darlene
thinks she can beat Adan to Triple City by taking a fishing boat (average speed 12 mph)
directly from Geoville to Triple City. Who will get to Triple City first? Explain your
solution.
Answer:
Darlene will get there first
Step-by-step explanation:
I have uploaded the work
Let f(x)=x²+5x and g(x)=4x-3. Perform the composition or operation indicated.
(f/g)(-3)
9514 1404 393
Answer:
2/5
Step-by-step explanation:
Put the numbers in the equations and do the arithmetic.
f(-3) = (-3)² +5(-3) = 9 -15 = -6
g(-3) = 4(-3) -3 = -12 -3 = -15
Then the composition is ...
(f/g)(-3) = f(-3)/g(-3) = -6/-15
(f/g)(-3) = 2/5
The ordered pair (10, 63) is a solution to the inequality y < -0.2x^2 + 9x - 7. Please select the best answer from the choices provided.
True or false.
Answer: false
Step-by-step explanation: