circle columns to break apart the array into two parts 6rolls 7columns
find the value of x in 3x=3
Answer:
the value of x is x=1
Step-by-step explanation:
3x=3
x=3÷3
x=1
1.
Step-by-step explanation:
10 Which of these transformations make the pre-image
and image congruent?
a) Reflection
b) Dilation
c) Translation
d) Rotation
Answer:
reflection and rotation
Step-by-step explanation:
The revenue of a company is represented by 3x² + 9x + 5 and the costs by 3x² + 3x + 21. If the profit can be found by subtracting cost from revenue, what expression could represent the profit? I
Bill has $12,400 in a regular savings account earning 43% annual interest
that is compounded monthly. How much will be in the account at the end of 3
years?
Round to the nearest cent, and do not include the dollar sign in your answer.
Answer:
44041.03
Step-by-step explanation:
A = P(1 + r/n)^nt
= 12400(1 + .43/12)^12(3)
= 12400(1.03583333)³⁶
= 12400(3.55169589)
= 44041.029
Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the number of toys that the child plays with. Past experiments with many subjects have shown that the probability distribution of the number of toys played with is as follows:
X(number of toys) | 0 | 1 | 2 | 3 | 4 | 5
P(X) | 0.03 | 0.16 | 0.30 | 0.23 | 0.17 | 0.11
a) How many toys might you expect a child to play with?
b) What is the standard deviation of the number of toys played with?
c) Describe how you might carry out a simulation to estimate the mean number of toys played with (don't actually do that simulation, just set it up).
Answer:
a)15 b)2.34 c)by taking sum of number of toy divide to its numberings
Step-by-step explanation:
in roman a number of toys is equal to the sum of all toys and standard deviation is obtained from formulaWhich values are solutions to the inequality? 5r≤6r−8 Select each correct answer. r = 7 r = 8 r = 9 r = 10
there are multiple
Answer:
r = 8,9,10
Step-by-step explanation:
The given inequality is :
5r≤6r−8 ...(1)
We need to find the value of r.
Subtracting 5r to both sides of the inequality .
5r-5r≤6r-5r−8
0≤r−8
r ≥ 8
Hence, the values of r are 8,9,10.
Answer:
The answer is r 8,9,10
Step-by-step explanation:
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
It also has a perpendicular height of 12 cm.
The volume of the pyramid is 96 cm³.
Given that the volume of a pyramid is one third of the area of the base
multiplied by the perpendicular height, find the dimensions of the base
of the pyramid.
Optional working
width: Answer
length: Answer
cm
cm
The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).
What is base of a pyramid?The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.
Define the term dimensions?Dimensions refer to the number of coordinates needed to specify the location of an object in space.
Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:
Volume of pyramid = 1/3 × base area ×height
96 = 1/3 ×(3x+1) × x ×12
Simplifying the equation:
96 = 4x² + (4/3)x
Multiplying both sides by 3 to eliminate the fraction:
288 = 12x² + 4x
Rearranging the equation into a quadratic form:
12x² + 4x - 288 = 0
Dividing both sides by 4 to simplify the equation:
3x² + x - 72 = 0
We can then use the quadratic formula to solve for x:
x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)
where a = 3, b = 1, and c = -72.
Plugging in the values:
x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))
x=(-1±\(\sqrt{1+864} /6\))
x = (-1 ±\(\sqrt{865} /6\) )
Since the width of the base cannot be negative, we take the positive solution:
x = (-1 + √(865) / 6
Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).
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What is the median of the following set of numbers? 35, 33, 36, 34, 33, 33, 32, 38, 35
A.35
B. 34
C.33
D.36
Median of the set is 34, as it is the middle value of the ordered set (32, 33, 33, 33, 34, 35, 35, 36, 38).
To find the middle of a bunch of numbers, the initial step is to organize the numbers all together from least to most prominent. For this situation, the arranged set is: 32, 33, 33, 33, 34, 35, 35, 36, 38.
The middle is the center number in the arranged set. On the off chance that there is an odd number of values, the middle is the center worth. On the off chance that there is a considerably number of values, the middle is the normal of the two center qualities.
For this situation, there are nine qualities in the set, which is an odd number. The center worth is the fifth worth, which is 34. Thusly, the middle of the set is B. 34.
To confirm, we can count four qualities before 34 and four qualities after 34 in the arranged set. Since there are an equivalent number of values when the middle, we can infer that 34 is for sure the middle.
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I’m lease help with both questions! Thanksss
If half of two third of a number added to one thirds of three fourth is x times the number. The number is
Answer:
wow you dont know :0
Step-by-step explanation:
:0:0:):): ):):):):):):):):):):):):):):):):):):):
Use mental math to find the sum. 49 + 27
Answer:
It is 76
Step-by-step explanation:
\({ \tt{}}\)
Answer:
49+27
= 4+2,9+7
=6,16
=76
Solve the following differential equation using the Laplace transform / complex number approach (see Example 2.29 in the textbook, page 28). Assume zero initial conditions. Specify the steady-state response part and the transient response part in your solution x(t).
X(t)+2x(t) = 4cos2t.us(t)
The solution to the given differential equation is x(t) = 2cos(2t) + (1/3)sin(2t). The steady-state response part of the solution is 2cos(2t) and the transient response part is (1/3)sin(2t).
We can use the complex number approach and Laplace transforms to solve this differential equation. First, we calculate
X(s) + 2X(s) = 4/(2s+1)by applying the Laplace transform to both sides of the equation. This equation for X(s) can be solved to yield X(s) = 4/(3s+3). Then, we can compute
x(t) = 2cos(2t) + (1/3)sin(2t)by applying the inverse Laplace transform to both sides of the equation. The differential equation can be solved in this way.
2cos(2t) is the steady-state response portion of the solution and is a sinusoidal function with an amplitude of 2 and a frequency of 2 rad/sec. The transient response portion of the solution is (1/3)sin(2t), a sinusoidal function with an amplitude of 1/3 and a frequency of 2 rad/sec. Because it will decay to zero as time passes, this part of the solution is only temporary.
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Which table or graph shows the value of y going down as the value of x goes
up?
Answer:
A
Step-by-step explanation:
That's your answer...
dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......
just look at the one that has the letter x going up it is c or d
Miles is 33 year old and single in 2020 his only income consisted of $10500 in wages what is the maximum amount he can contribute to a traditional ira for 2020
Answer:
$6,000
Step-by-step explanation:
$6,000 Because miles younger than 50
> Function g can be thought of as a translated (shifted) version of Y f(x) = x².
Using translation concepts, function g(x) is given as follows:
g(x) = x² - 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Researching this problem on the internet, g(x) is a shift down of 3 units of f(x) = x², hence:
g(x) = x² - 3.
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Which description is correct for the x-intercept(s) of Function A and Function B?
Function A
Function B f(x)=|x| -2
Function a has two x-intercepts
Function b has one x-intercept
Function B has two x-intercepts
Function A has one x-intercept
Both functions have the same number of x-intercepts
Both functions have the same x-intercepts(s)
The correct option regarding the number of x-intercepts of each function is given as follows:
Both functions have the same number of x-intercepts.
What is the x-intercept of a function?The x-intercept of a function is given by the value of x when f(x) = 0, that is, the value of x when the function crosses the x-axis.
From the Table, for function A, these values are given as follows:
x = 1 and x = 3.
For Function B, the intercepts are given as follows:
|x| - 2 = 0
|x| = 2
x = -2 or x = 2.
The intercepts are different, but both functions have the same number of x-intercepts.
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Answer:
Both functions have the same number of x-intercepts.
Step-by-step explanation: Did the test, got it correct.
What?
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please help me i dont understand
Answer:
multipy the length of the side by the scale factor
Joshua wants to buy sport shoe cost P435.30 if he saved from his allowance a total of P289.75 how much does he still need to buy the shoe
Answer:
P 145.55
Step-by-step explanation:
435.30 - 289.75 = 145 .55
Factor the quadratic Y=6x^2-11x-30
The point (5,4) is rotated 270 degrees clockwise, would the answer be (-4,5)?
The image of the point (5, 4) after being rotated 270 degrees clockwise around the origin is (- 4, 5).
How to determine the image of a point by rotation around the origin
In this problem we find the case of a point to be rotated by a rigid transformation, represented by a rotation around the origin. The transformation rule is defined by the following expression:
P'(x, y) = (x · cos θ - y · sin θ, x · sin θ + y · cos θ)
Where:
(x, y) - Coordinates of point P(x, y).θ - Angle of rotation (counterclockwise rotation is represented by positive values).P'(x, y) - Coordinates of the resulting point.If we know that P(x, y) = (5, 4) and θ = - 270°, then the coordinates of the image are, respectively:
P'(x, y) = (5 · cos (- 270°) - 4 · sin (- 270°), 5 · sin (- 270°) + 4 · cos (- 270°))
P'(x, y) = (- 4, 5)
The image of the point (5, 4) is (- 4, 5).
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What are three other ways to name? You may type or qx
A line can be named either using two points on the line (for example, ↔AB ) or simply by a letter, usually lowercase (for example, line m ). A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis
A survey of 450 randomly chosen US adults found that 35% of the 200 men and 40% of the 250 women attended a college football game during the past month. Do these data provide statistical evidence at the α = 0.01 level that men are more likely than women to attend football games? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answer:100,000
Step-by-step explanation:
A medical researcher claims that 10 % of children suffer from a certain disorder. Identify the type I error for the test.
a. Reject the claim that the percentage of children who suffer from the disorder is different from 10% when that percentage really is different from 10%.
b. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually different from 10%.
c. Fail to reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
d. Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Answer:
D: Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Step-by-step explanation:
In statistics, type I error is when we reject the null hypothesis even when it is true.
Now, the claim which is the null hypothesis is that that 10 % of children suffer from a certain disorder.
This means that a type I error will be;
Reject the claim that the percentage of children who suffer from the disorder is equal to 10% when that percentage is actually 10%.
Let A, B, and C be events relative to the sample space S. Using Venndiagrams, shade the areas representing events:
a.) (A∩B)′
b.) (A∪B)′
c.) (A∩C)∪B
If A, B and C be events relative to the sample space S, then the Venn diagram of the representing event has been plotted
Let A, B and C be events relative to the sample space S.
The sample space is the set of all possible outcomes of the experiment.
The Venn diagram is the pictorial representation of the sample space of the experiment by using the circles and the overlapping of the circles.
Here we have to plot the each representing events using the Venn diagram representation
Part a
The event is (A ∩ B)'
Plot the Venn diagram
Part b
The event is (A ∪ B)'
Plot Venn diagram
Part c
The event is (A ∩ C) ∪ B
Plot the Venn diagram
Therefore, the Venn diagram of the each event has been plotted
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4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
The Cougar Shipping Company found that 3 out of 25 boxes
were damaged. What percent of the boxes were damaged?
a.
3%
b.
18%
C.
20%
d.
75%
Please hurry
Answer:
i think it is 20
Step-by-step explanation:
i hope it help