HELP ASAP PLEASE!! A yard plan includes a rectangular garden that is surrounded by bricks. In the drawing, the garden is 7 inches by 4 inches. The length and width of the actual garden will be 35 times larger than the length and width in the drawing.
What is the perimeter of the drawing? Show your work.
What is the perimeter of the actual garden? Show your work.
What is the effect on the perimeter of the garden with the dimensions are multiplied by 35? Show your work.
Answers
Answer:
(a) perimeter of the drawing = (7 x2) + (4 x 2)
= 22 inches
(b) perimeter of the actual garden = 2(7 x 35) + 2(4 x 35)
= 490 + 280
= 770 inches
(c) 22 x 35 = 770
i don't really understand the last question. sorry if i gave you the wrong answers
Related Questions
Bella is splitting her rectangular backyard into a garden in the shape of a trapezoid and a fish pond in the shape of a right triangle. What is the area of her garden?
Answers
The Area of Bella's garden as required to be determined in the task content is the difference of the area of the rectangular backyard and the right triangular fish pond.
What is the area of Bella's trapezoidal garden?It follows from the task content that the area of Bella's trapezoidal garden is to be determined from the given information.
Since the garden and the fish pond are from the rectangular backyard; the sum of their areas is equal to the area of the backyard.
Ultimately, the area of the garden is the difference of the area of the rectangular backyard and the right triangular fish pond.
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A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males (Boston Globe, August 16, 2010). Suppose 250 females and 200 males responded to the study.
Let p1 represent the population proportion of females with asthma and p2 the population proportion of males with asthma. Let females and males represent population 1 and population 2, respectively.
a. Develop the appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males.
H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
b. Calculate the value of the test statistic and its associated p-value. (Round intermediate calculations to 4 decimal places, "test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
Test statistic p-value c. At the 5% significance level, what is the conclusion? Do the data suggest that females suffer more from asthma than males?
No, since we reject H0
No, since we do not reject H0
Yes, since we reject H0
Yes, since we do not reject H0
Answers
The data suggest that females suffer more from asthma than males.
The null and alternative hypotheses for this problem are:
H0: p1 - p2 = 0; HA: p1 - p2 ≠ 0
The value of the test statistic is 3.7775 and its associated p-value is 0.0002. At the 5% significance level, the conclusion is that we reject the null hypothesis, and therefore we can say that the data suggest that females suffer more from asthma than males.
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Consider the circuit depicted in the diagram. Part (a) Write the equation which results from applying the loop rule to loop akledcba. Part (b) If the current going through the center of the loop is 65 A, what is the current going through the top, in amps?ξ = 24.0ν b 0.10Ω Β, 5.0Ω ε2, 48.0ν RS 20 Ω a τη: R w- 40 Ω e 0.50 Ω ΓΑ *0.20 Ω R 78 Ω 36.0V ξ: 6.0ν 9 10.05 Ω h
Answers
The equation which results from applying the loop rule to loop akledcba is Ia + Ik + Il + Ie + Id + Ic + Ib + Ia
The current going through the top is 2.71 A.
Itop = 65 A - (24.0 V/0.10 Ω) - (5.0 Ω * 2) - (48.0 V/20 Ω) - (40 Ω * 0.50 Ω) - (36.0 V/6.0 Ω) - (10.05 Ω * 0.20 Ω) - (78 Ω * 0.20 Ω) = 2.71 A.
For Part (a), the equation resulting from applying the loop rule to loop akledcba is:
Iakledcba = Ia + Ik + Il + Ie + Id + Ic + Ib + Ia
For Part (b), if the current going through the centre of the loop is 65 A, then the current going through the top in amps is:2.71 A.
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Without dividing how can you decide which quotient is greater: 51 +31 or 5 1/4÷2 1/2
Answers
Answer:
51 + 31
Step-by-step explanation:
To compare which quotient is greater between 51+31 and 5 1/4 ÷ 2 1/2, we can use estimation.
First, we can estimate 51+31 to be around 80.
Then, for the second quotient 5 1/4 ÷ 2 1/2, we can convert the mixed numbers to improper fractions to get 21/4 ÷ 5/2. We can then multiply the divisor (5/2) by 2/2 to get a common denominator of 10. This gives us 21/4 ÷ 5/2 = 21/4 ÷ 5/10. We can then invert the divisor and multiply to get 21/4 x 10/5 = 21/2 or 10.5.
Since 80 is greater than 10.5, we can conclude that 51+31 is greater than 5 1/4 ÷ 2 1/2.
Select all of the reasons that the range is an appropriate measure of variability to describe the variation in the hours slept by eighth graders.
A double box plot showing hours sleeping. For seventh graders, the left whisker is at 7.5, the left edge of the box is at eight, the line inside the box is at 8.5, the right edge of the box is at nine, and the right whisker is at 9.5. For eighth graders, the left whisker is at seven, the left end of the box is at 7.5, the line inside the box is at eight, the right end of the box is at 8.5, and the right whisker is at nine. Screen reader support enabled.
Answers
All of the reasons that the range is an appropriate measure of variability to describe the variation in the hours slept by eighth graders include the following:
A. The data are evenly distributed between 7 hours and 9 hours.
D. There is no outlier in the data.
What is a range?In Mathematics, a range can be defined as the difference between the highest number and the lowest number contained in a data set.
Mathematically, the range of a data set can be calculated by using the following mathematical equation;
Range = Highest number - Lowest number
By critically observing the double box-and-whisker plots or box plot for the variation in the hours slept by eighth graders, we can logically deduce that there is no outlier in the data because they are evenly distributed and centered about the mean.
In conclusion, the box-and-whisker plot or box plot is symmetrical.
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Answer:
Step-by-step explanation:
Yeah what the other guy said
Which graph is the result of reflecting f(x) = 1/4(8) across the y-axis and then across the x-axis?
O
B
7
6
5
->
32
Shy
-8-7-6-5-4-3-2-1₁ 12 x
Answers
The graph οf g(x) is the same as its reflectiοn acrοss bοth the y-axis and the x-axis.
What is a graph?
A graph is a structure amοunting tο a set οf οbjects in which sοme pairs οf the οbjects are in sοme sense "related". The οbjects cοrrespοnd tο mathematical abstractiοns called vertices and each οf the related pairs οf vertices is called an edge.
Tο reflect a functiοn acrοss the y-axis, we replace x with -x in the functiοn. This gives us:
f(-x) = 1/4(8) = 2
This functiοn represents the reflectiοn οf f(x) acrοss the y-axis. Tο reflect this functiοn acrοss the x-axis, we replace f(-x) with -f(-x). This gives us:
-f(-x) = -2
Therefοre, the functiοn that results frοm reflecting f(x) = 1/4(8) acrοss the y-axis and then acrοss the x-axis is:
g(x) = -2
This is a hοrizοntal line that intersects the y-axis at -2. The graph οf g(x) is a straight line parallel tο the x-axis, and it dοes nοt change when reflected acrοss the y-axis οr x-axis. Sο, the graph οf g(x) is the same as its reflectiοn acrοss bοth the y-axis and the x-axis.
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Solve each inequality (show work)
Answers
Answer:
5 less than or equal to x
Step-by-step explanation:
make x subject
Solve for x in a triangle
Answers
In a right triangle, the trigonometric ratio x must be positive. There isn't an x solution that meets the requirements. The cosine and sine function values given are incompatible with a correct right triangle. x = -0.40
Which triangle is on the right?A right triangle is one with a 90 degree inner angle. The two arms of a right angle are made up of height and base.
The sum of the angles B and C's measurements in a right triangle is 90 degrees (since angle A is 90 degrees).
So we have:
B + C = 90
And since sin C = 3x + 0.31, we know that:
C = sin⁻¹(3x + 0.31)
B + sin⁻¹(3x + 0.31) = 90
Subtracting sin⁻¹(3x + 0.31) from both sides, we get:
B = 90 - sin⁻¹(3x + 0.31)
Now we can use the fact that cos B = x - 0.49:
cos(90 - sin⁻¹(3x + 0.31)) = x - 0.49
Using the identity cos(90 - θ) = sin(θ), we can rewrite this as:
sin(sin⁻¹(3x + 0.31)) = x - 0.49
Simplifying the left side using the inverse sine function, we get:
3x + 0.31 = x - 0.49
Subtracting x and 0.31 from both sides, we get:
2x = -0.80
Dividing both sides by 2, we get:
x = -0.40
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The number 2 is the first even counting number,4 is the second even number, 6 is the third even number, and so forth. What is the sum of the first 25th even counting numbers
Answers
The number 2 is the first even counting number,4 is the second even number, 6 is the third even number, and so forth. the sum of the first 25th even counting numbers is 650.
Since we are given that the first even counting number is 2 and each subsequent even counting number can be obtained by adding 2 to the previous one. so by using the formula for finding the 25th term of an arithmetic series which :
an=a+(n-1)d, where the nth term d is a common difference and a is the first term so, the 25th term is 2 + (25-1)*2 = 2 + 48 = 50. Now for finding the sum of the first 25 even counting numbers, we use the formula which is Sn = n /2 * (a1 + an), where Sn is the sum of the first n terms of the series, a1 is the first term, and an is the nth term. since in this n=25, a1=2 and an=50, so after substituting the values we get S25 = 25/2 * (2 + 50) = 25/2 * 52 = 650
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the length of a rectangle is 3 in longer than its width. if the perimeter of the rectangle is 50 in, find its length and widths
Answers
First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).
Translate the problem:
"The length of a rectangle is 3 ft longer than its width" means
L = 3 + W (eq1)
"the perimeter of the rectangle is 30 ft" means
P = 50 (eq2)
So, now the math is easy, just find L and W so we can compute the area:
P = 50 = 2L + 2W (eq3; from eq2 and the formula for P)
50 = 2(3+W) + 2W (use eq1 to substitute for L)
50 = 6 + 2W + 2W (distribute)
50 = 6 + 4W (collect terms)
44 = 4W (subtract 6 from both sides)
11 ft = W (divide both sides by 4)
Use the easiest equation (either eq1 or else eq3) to find L:
L = 3 + W (eq1)
L = 3 + 11
L = 14 ft
What is the area (A)?
A = L*W
A = (14 ft) x (11 ft)
A = 154 sq ft
Find an expression which represents the difference when (9x-4)(9x−4) is subtracted from (7x-2)(7x−2) in simplest terms.
Answers
To subtract (9x-4)(9x-4) from (7x-2)(7x-2), we need to expand both of them and then subtract. Using the formula (a-b)^2 = a^2 - 2ab + b^2, we get:
(7x-2)(7x-2) - (9x-4)(9x-4)
= (49x^2 - 28x + 4) - (81x^2 - 72x + 16)
= 49x^2 - 28x + 4 - 81x^2 + 72x - 16
= -32x^2 + 44x - 12
Therefore, the expression which represents the difference when (9x-4)(9x−4) is subtracted from (7x-2)(7x−2) is -32x^2 + 44x - 12.
Can someone help me to work this out???????????????????????
Answers
Answer:
80 degrees
Step-by-step explanation:
Remember that corresponding angles are equal!
angle CBD and angle BFH are obviously corresponding angles.
(SEE ATTACHMENT IF YOU DON'T UNDERSTAND)
So, angle CBD = angle BFH = 100 degrees.
The angles of a line add to 180 degrees
angle BFH is 100 degrees and one part of this line. So the other part (aka angle x) is 180 - 100 = 80 degrees.
Thus, x is 80 degrees.
She begins at sea level, which is an elevation of 0 feet.
She descends for 50 seconds at a speed of 5 feet per second.
She then ascends for 54 seconds at a speed of 4.4 feet per second.
Answers
Answer:
The diver descends:
50 seconds x 5 feet/second = 250 feet
The diver ascends:
54 seconds x 4.4 feet/second = 237.6 feet
Therefore, the total change in elevation is:
250 feet (descent) - 237.6 feet (ascent) = 12.4 feet
So, the diver's final elevation is:
0 feet (starting elevation) - 12.4 feet (change in elevation) = -12.4 feet
Therefore, the diver ends up 12.4 feet below sea level.
Answer:
it is 1
Step-by-step explanation:
its is 1 2 3 hsvs jafsnsjhd jsusgsmsi jshsbjdg
are the statements equivalent? "the number x is greater than 5 by 3" and x -3=5
Answers
Answer:
x=8
Step-by-step explanation:
x-3=5
+3=+3(cancel 3)
_____________
x=8
A geometric sequence has first term 5 and common ratio 2. the sum of the first n terms of the sequence is 163 835. What is n ? [Answer format: integer, no units]
Answers
First term in a geometric sequence is 5, and common ratio is 2. The sum of the first n terms of the sequence is 163,835.
The following formula can be used to calculate the sum of the first n terms of a geometric sequence:
Sn = a (1 - rn) over (1 - r),
where
a is the first term,
r is the common ratio, and
n is the number of terms.
So, Sn = a (1 - rn) over (1 - r) => 163835 = 5 (1 - 2n) over (1 - 2).
Simplifying it, we have
163835 = 5 (1 - 2n) over (-1)
=> 163835 = -5 + 10n
=> 163840 = 10n
=> n = 16,384.
Therefore, the value of n is 16,384.
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Mei Mei has a part-time job at an ice skating rink selling hot cocoa. She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit. Based on the line of best fit, how many hot cocoas would you predict Mei Mei to sell if the day’s high temperature were 42^{\circ} ∘ F?
Answers
The following table shows how many hot cocoas Mei Mei would likely sell if the day's high temperature was 42 oF:
58.
How is a linear function defined?
The following is the definition of a linear function's slope and intercept:
y = mx + b.
The slope, or m, indicates the rate of change.
The value of y at x=0 is represented by the intercept, b.
At y = 100, where the function meets the y-axis, the intercept b is defined as follows:
b = 100.
As y decays to 94 when x rises to six, the slope m is calculated as follows:
m = (94 - 100)/(6 - 0) (6 - 0)
m = -1.
As a result, the function that forecasts how much hot chocolate will be sold at a high temperature.
Lack of Information
The graphic provided at the end of the response provides the linear function's graph.
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Edith's van can safely carry a maximum land of 920 kilograms.
She wants to use her van to carry
30 sacks of potatoes, each of mass 25 kilograms to the nearest kilogram
and
20 sacks of carots, each of mass 7. 5 kilograms to 1 decimal place
Can she definitely use her van safety in one journey?
You must show your working
(4 marks)
Answers
Yes, she can definitely use her van safety in one journey. The total weight is the weight of potatoes plus the weight of carots.
Given,
Number of sacks of potatoes = 30
Mass of each potato = 25
Total weight of Potatoes = 30 * 25
= 750
Number of sacks of carrots = 20
Mass of each Carot = 7.5
Total weight of Carrot = 20 * 7.5
= 150
(The total weight is the weight of potatoes plus the weight of carrots.)
So, total weight = 750 + 150
= 900
The maximum land which Edith can carry safely in the van is 920 kilograms.
∵ 900 < 920
∴ She can use her van safely.
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a careless university student leaves her iclicker device behind with probability 1/4 each time she attends a class. she sets out with her iclicker device to attend 5 different classes (each class is in a different lecture theatre). part 1) if she arrives home without her iclicker device and she is sure she has the iclicker device after leaving the first class, what is the probability (to 3 significant figures) that she left it in the 5th class? probability
Answers
The probability of leaving it in any given class is 1/4, the probability of leaving it in the 5th class is 1/4, or[tex]0.250 (25.0%).[/tex]
The probability that the student left her iClicker device in the 5th class is 0.250 (25.0%). This is because the probability of leaving it in any given class is 1/4, and as she attends 5 different classes,
there is 5/4 or 1.25 chances of her leaving it in the 5th class.
To explain further, the probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. In this case, the event is leaving the iClicker device in the 5th class, and the total number of possible outcomes is 5 (for the 5 classes).
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If Alyssa has 6 shirts, 4 skirts, and 10 pairs of shoes, how many possible outfits can she make?
Answers
Answer: 240
You multiply them. 6x4x10 :)
The number of different outfits made by Alyssa as per the given number of shirt , skirts and shoes is equal to 240 outfits.
To find the number of possible outfits Alyssa can make, you multiply the number of choices for each item of clothing:
Number of shirts = 6
Number of skirts = 4
Number of pairs of shoes = 10
Substitute the values and multiply with each other
Total number of possible outfits
= 6 (shirts) × 4 (skirts) × 10 (shoes)
= 240 outfits.
Therefore, Alyssa can make 240 different outfits using her 6 shirts, 4 skirts, and 10 pairs of shoes.
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Let be a random variable with the following probability distribution:
Value (P(X=x)
x of X
10) (0.05)
20) (0.65)
30) (0.05)
40) (0.20
50) (0.05)
Find the expectation E (X) and variance Var (X) of X.
Answers
Answer:Let be a random variable with the following probability distribution
Value x of X / P (X=x)
20 / 0.05
30 / 0.05
40 / 0.35
50 / 0.20
60 / 0.35
Find the expectation of E(X) and variance Var (X) of X.
(A) E (x) = ?
(B) Var (X) =?
Step-by-step explanation:
Find the probability of
drawing a spade, then
drawing a face card out of a
deck
Answers
The likelihood of pulling a spade followed by a face card from a deck is 3/52, or roughly 0.0588. (rounded to four decimal places).
What is the probability?The probability of drawing a spade from a deck of 52 cards is 13/52, or 1/4, since there are 13 spades in the deck.
Once a spade has been drawn and not returned to the deck, there are now 51 cards left in the deck, of which 12 are face cards (the Jack, Queen, and King of each suit). Therefore, the probability of drawing a face card given that a spade has already been drawn is 12/51.
To find the probability of both events happening together (drawing a spade and then a face card), we can multiply the probabilities of each event:
P(drawing a spade, then drawing a face card) = P(drawing a spade) x P(drawing a face card given that a spade has been drawn)
= (1/4) x (12/51)
= 3/52
Therefore, the probability of drawing a spade, then drawing a face card out of a deck is [tex]3/52[/tex] , or approximately [tex]0.0588[/tex] (rounded to four decimal places).
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what is -0.33333333333 as a fraction
Answers
Answer:
-1/3
Step-by-step explanation:
Answer:
-1/3
Step-by-step explanation:
Ben knows that a line passes through the point (-3, 8) and has a slope of -3/4, but he needs to find the equation of the line. Therefore, he should substitute 8 for_______
and he should substitute -3 for _________, and he should substitute -3/4 for __________ into the Point-Slope Formula. He will need to __________ and simplify before solving for y = mx + b form.
Answers
Answer:
Ben knows that a line passes through the point (-3, 8) and has a slope of -3/4, but he needs to find the equation of the line. Therefore, he should substitute 8 for_______
and he should substitute -3 for _________, and he should substitute -3/4 for __________ into the Point-Slope Formula. He will need to __________ and simplify before solving for y = mx + b form.
Step-by-step explanation:
To use the Point-Slope formula to find the equation of the line, Ben should substitute the following values:
Substitute 8 for y, since the point (-3, 8) has a y-coordinate of 8.
Substitute -3 for x, since the point (-3, 8) has an x-coordinate of -3.
Substitute -3/4 for m, since the line has a slope of -3/4.
The Point-Slope formula is:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 8 = (-3/4)(x - (-3))
Simplifying the right-hand side, we get:
y - 8 = (-3/4)(x + 3)
To get the equation in y = mx + b form, we can start by distributing the (-3/4) to the x and the 3:
y - 8 = (-3/4)x - 9/4
Adding 8 to both sides, we get:
y = (-3/4)x + 23/4
So the equation of the line is y = (-3/4)x + 23/4.
3. Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.
Test the claim that the mean lifetime of car engines of a particular type is greater than 220,000 miles. Sample data are summarized as n = 23.x=226,450 miles, and s- 11,500 miles. Use a significance
a=0.01. Select the correct test statistic and critical value.
Test statistic: t 2.6898. Critical value: t= -2.508.
Test statistic: t=2.6898. Critical value: t = 2.508.
Test statistic: t = -2.6898. Critical value: t = 12.508.
All change
Test statistic: z = 2.6898. Critical value: z = +2.508.
Answers
There is sufficient evidence tο say that the mean lifetime οf car engines οf a particular type is greater than 220,000 miles.
What is Hypothesis Test?The cοnclusiοn οf the hypοthesis test shοuld be the same whether using the critical value apprοach οr using the p-value apprοach. Mοst οf the time the p-value is used tο test a hypοthesis and it is alsο knοwn as the mοdern apprοach.
Hο: μ ≤ 220000
Ha: μ > 220000
Upper Tail
The significance level,
α = 0.01
The sample mean,
¯x = 226450
The sample standard deviation,
s = 11500
The sample size,
n=23
Test statistics:
[tex]$t={\frac{{\bar{x}}-\mu}{{\frac{s}{\sqrt{n}}}}}$[/tex]
[tex]$={\frac{226450-2220000}{\dfrac{11500}{\sqrt{23} y} }$[/tex]
≈ 2.69
Decision rule:
Reject the null if,
p-value ≤α
Decision rule:
Reject the null if,
|Calculated t |≥|Critical t|
Degrees of freedom:
Df = n−1
=22
We can use a t-distribution table, an online tool, or the following excel command to calculate the p-value using excel =TDIST(2.69, 22, 1):
p-value = P(t>2.69)
≈0.0067
Critical value of t using excel: =TINV(0.02, 22)
t(critical) = tα,
df = t(0.01,22)
≈2.51
Decision:
p-value ≈0.0067<α =0.0100
Reject the null.
Conclusion:
There is sufficient evidence to say that the mean lifetime of car engines of a particular type is greater than 220,000 miles.
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Complete question:
Between which consecutive integer does the square root of 138 lie
Answers
The square root of 138 is between 11 and 12. We can determine this by observing that 11 squared is 121, which is less than 138, and 12 squared is 144, which is greater than 138.
Therefore, the square root of 138 must lie between 11 and 12. Another way to approach this problem is to use estimation. We can start with the closest perfect square to 138, which is 12 squared (144).
Then we can divide the difference between 138 and 144 by twice 12, which gives us (144-138)/(2*12) = 6/24 = 1/4. This means that the square root of 138 is approximately 12 - 1/4 = 11.75, which is between 11 and 12.
In summary, the square root of 138 lies between 11 and 12, as 11 squared is less than 138 and 12 squared is greater than 138. Alternatively, we can estimate the square root of 138 as 11.75, which is also between 11 and 12.
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Which equation could represent the shown graph below
Oy=√x-2
O y = √x+2
O y = -√x+2
O y = -√x-2
Answers
Reasoning:
The function has a parent function of a square root function, and it is translated 2 units right. A horizontal translation is stated in the opposite direction, so even though the function shifted +2 units left, it is expressed as -2, hence x-2. The function then had all y-values reflected over the c-axis, hence the negative in front of the square root radical. This results in the transformed function of y = - √x-2
How is pi and apple pie related to each other?
Answers
Answer: Pie is the unofficial food of Pi Day; its symbol, π, is often carved into pie crusts.
Step-by-step explanation:
Answer:
You can divide and divide, but with pi, you never reach the end of the digits after a decimal point.
Step-by-step explanation:
This is why most people know pie as 3.14. It also means that the circumference is a bit more than 3 times the size of the diameter. It doesn't matter what circle you measure—the relationship will always be the same.
Simplify the product: (4x-3) (3x+1)
O A. x-2
OB. 12x²-3
O C. 12x-5x-3
OD. 12x³-9x² +4x-3
Answers
Answer:
[tex]\large\boxed{\mathtt{C) \ 12x^{2}-5x-3}}[/tex]
Step-by-step explanation:
[tex]\textsf{For this problem, we are asked to multiply 2 Binomials.}[/tex]
[tex]\textsf{We should use the FOIL Method.}[/tex]
[tex]\large\underline{\textsf{FOIL Broken Down;}}[/tex]
[tex]\textsf{F - Fronts}[/tex]
[tex]\textsf{O - Outers}[/tex]
[tex]\textsf{I - Inners}[/tex]
[tex]\textsf{L - Last}[/tex]
[tex]\large\underline{\textsf{For Example.}}[/tex]
[tex]\mathtt{(2x+2y)(3x+3y)}[/tex]
[tex]\mathtt{(F) \ 2x \times 3x = 6x^{2}}[/tex]
[tex]\mathtt{(O) \ 2x \times 3y = 6xy}[/tex]
[tex]\mathtt{(I) \ 2y \times 3x = 6xy}[/tex]
[tex]\mathtt{(L) \ 2y \times 3y = 6y^{2}}[/tex]
[tex]\textsf{Let's use the FOIL Method for our problem.}[/tex]
[tex]\large\underline{\textsf{FOIL;}}[/tex]
[tex]\mathtt{(4x-3)(3x+1)}[/tex]
[tex]\mathtt{(F) \ 4x \times 3x = 12x^{2}}[/tex]
[tex]\mathtt{(O) \ 4x \times 1 = 4x}[/tex]
[tex]\mathtt{(I) \ -3 \times 3x = -9x}[/tex]
[tex]\mathtt{(L) \ -3 \times 1 = -3}[/tex]
[tex]\large\underline{\textsf{We should have;}}[/tex]
[tex]\mathtt{12x^{2}+4x-9x-3}[/tex]
[tex]\large\underline{\textsf{Combine Like Terms;}}[/tex]
[tex]\large\boxed{\mathtt{C) \ 12x^{2}-5x-3}}[/tex]
The research department at the home office of automobile accidents,the characterstics of the driver, and so an. A random sample 400 police written on single persons revealed 120 had at least one accident in previous three year period
Answers
The study collected data from a random sample of 400 police reports on single persons. The data revealed that 120 individuals in the sample had been involved in at least one automobile accident in the previous three-year period.
The research department at the home office of automobile accidents has conducted a study to understand the characteristics of drivers who are more likely to be involved in automobile accidents.
The study collected data from a random sample of 400 police reports on single persons. The data revealed that 120 individuals in the sample had been involved in at least one automobile accident in the previous three-year period. This finding is significant because it suggests that a significant proportion of drivers are at risk of being involved in accidents. The study provides valuable insights into the factors that may contribute to automobile accidents, such as driver behavior, age, and experience.
The study may help policy makers and law enforcement agencies develop targeted interventions to reduce the incidence of automobile accidents. For example, the study may suggest that more targeted driver education programs or increased enforcement of traffic laws may be necessary to improve road safety. Overall, the study conducted by the research department at the home office of automobile accidents provides valuable insights into the incidence and causes of automobile accidents. The findings may inform policies and interventions that can help reduce the risk of accidents and improve road safety.
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Use the quadratic formula to solve. Show work describe solution.
Answers
Answer:
Use the quadratic formula to solve. Show work describe solution.
Step-by-step explanation:
The quadratic formula is used to find the solutions (or roots) of a quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are constants.
The quadratic formula is:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
To use the quadratic formula, we need to plug in the values of a, b, and c from the given equation and solve for x.
For example, let's say we have the equation 2x^2 + 5x - 3 = 0.
Here, a = 2, b = 5, and c = -3.
Plugging these values into the quadratic formula, we get:
x = (-5 ± sqrt(5^2 - 4(2)(-3))) / 2(2)
Simplifying the expression inside the square root:
x = (-5 ± sqrt(49)) / 4
x = (-5 ± 7) / 4
We get two solutions:
x = (-5 + 7) / 4 = 1/2
x = (-5 - 7) / 4 = -3
So the solutions to the equation 2x^2 + 5x - 3 = 0 are x = 1/2 and x = -3.
These solutions represent the points where the quadratic curve intersects the x-axis. They can also be used to factor the quadratic equation or graph the quadratic function.