Answer:
Step-by-step explanation:
Comment
Use a^2 + b^2 = c^2b = 38c = 42a = ?Solution
a^2 + b^2 = c^2
a^2 + 38^2 = 42^2
a^2 + 1444 =1764 Subtract 1444 from both sides
a^2 + 1444 - 1444 = 1764 - 1444 Combine
a^2 = 320 Take the square root of both sides
√a^2 = √320
a = 17.89
Answer
The height of the TV screen is 17.89 inches
\(\huge \red \dag \underline {\rm {{{\color{orange}{Given ...}}}}} \red \dag\)
Diagonal of TV screen = 42 inchesBase of TV screen = 38 inches\(\huge \red \dag \underline {\rm {{{\color{orange}{To \: Find ...}}}}} \red \dag\)
Height of TV\(\huge \red \dag \underline {\rm {{{\color{orange}{Solution ...}}}}} \red \dag\)
Answer according to the figure in attachment
In this situation we use Pythagoras theorem.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.According to Pythagoras theorem\(\Large❏ \: \Large\begin{gathered} {\underline{\boxed{ \tt {\blue{BD² = BC² + DC²}}}}}\end{gathered}\)
BD = 42 inchesBC = 38 inchesDC = ?We need to find the DC.
Substituting the values in Pythagoras theorem
\(\large\purple\implies \tt \large \:BD² = BC² + DC²\)
\(\large\purple\implies \tt \large \: {42}^{2} \: = \: {38}^{2} \: + \: DC²\)
\(\large\purple\implies \tt \large \:1764 \: = \: 1444 \: + \: DC²\)
\(\large\purple\implies \tt \large \:1764 \: - \: 1444 \: = \: DC²\)
\(\large\purple\implies \tt \large \:320 \: = \: DC²\)
\(\large\purple\implies \tt \large \: \sqrt{320} \: = \: DC\)
\(\large\purple\implies \tt \large \:17.88 \: = \: DC\)
Hence , the height of TV is 17.88 inches
Corrine is purchasing beads to make a new necklace and bracelet set. The two pieces of jewelry each need silver and green beads. The necklace requires 25 silver beads and 15 green beads. The bracelet requires 10 silver beads and 5 green beads. Corrine paid $27.50 for the necklace beads and $10 for the bracelet beads. How much does each silver bead cost? How much does each green bead cost? Be sure to show your work and explain your answer.
Each silver bead costs $0.50, and each green bead costs $1.
Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.
According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.
The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.
Using this information, we can set up the following system of equations:
25s + 15g = 27.50 (Equation 1)
10s + 5g = 10 (Equation 2)
We can solve this system of equations using any appropriate method, such as substitution or elimination.
Let's use the elimination method to solve the system:
Multiplying Equation 2 by 3, we get:
30s + 15g = 30 (Equation 3)
Subtracting Equation 3 from Equation 1:
25s + 15g - (30s + 15g) = 27.50 - 30
-5s = -2.50
s = 0.50
Now, substituting the value of s into Equation 2:
10(0.50) + 5g = 10
5 + 5g = 10
5g = 5
g = 1
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Using the figure below, if the m21= 55°, what is the m2?
Answer: \(125^{\circ}\)
Step-by-step explanation:
Angles that form a straight angle are supplementary, so:
\(m\angle 1+m\angle 2=180^{\circ}\\ \\ 55^{\circ}+m\angle 2=180^{\circ}\\ \\ m\angle 2=\boxed{125^{\circ}}\)
Warm-Up Understanding Binomial Settings Ms. Lee gave out the homework passes as described previously, and it turns out that zero statistics students were selected. She plans to give out another homework pass tomorrow, but this time she will keep drawing names, still replacing and shuffling between each trial, until she gets a statistics student.
Is this a binomial setting?
O Yes, the conditions for a binomial setting are all met in this case.
O No, this time there is not a fixed number of trials,
O No, this time the trials are not independent.
O No, this time the outcomes are not binary.
The answer is : No, this time there is not a fixed number of trials,
How to get the solution of the binomial settingFixed Number of Trials (n): Established beforehand, the experiment consists of a specified set of trials or repetitions.
Binary Outcomes: Every trial possess just two feasible outcomes typically referred to as "success" and "failure."
Independent Trials: The result of a single trial will not affect the outcome of any subsequent trials.
Constant Success Probability (p): Per trial, the chances of success remain unchanging.
Taking into account the given circumstances, Ms. Lee intends on giving out another homework pass consequently, she will keep pulling names until concluding with a statistics student. She rearranges and shuffles the papers which contain the names in-between each trial.
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Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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please help me with this last question
Can anyone help explaining step by step?
The height of a soccer ball in the air can be modeled by the equation h = -16t^2 +48f, where h is in feet of a ball that Cody kicks down the field.
How long is the ball in the air? (find the zeros).
What is the ball's max height? (find the vertex)
When will the ball reach its maximum height?
Answer:
3 seconds(0, 0), (3, 0)36 ft, (1.5, 36)Step-by-step explanation:
As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.
__
(a)The function can be factored as ...
h = -16t(t -3)
At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.
The zeros are (0, 0) and (3, 0).
This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).
The ball is in the air for 3 seconds.
__
(b)The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.
The ball will reach its maximum height at t=1.5 seconds.
Using the above factored form to find the height, we get ...
h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet
The ball's maximum height is 36 feet.
_____
Additional comment
The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...
x = -b/(2a)
Here, that would be ...
t = -48/(2(-16)) = 3/2
__
A graphing calculator can answer all of these questions quite rapidly.
Jimmy cuts grass in the summertime to save money for college. This week, he was paid $50
on Monday, $70 on Tuesday, $25 on Wednesday, $45 on Thursday, and $50 on Friday. What
is the average amount that Jimmy was paid for each work day this week?
$45
A.
B. $48
C. $50
D. $70
Answer:
B. $48
Step-by-step explanation:
Average=sum of the numbers÷number of numbers you added
Average will now be $50+$70+$25+$45+$50= $240÷5= $48
How many solutions are in the equation and are they imaginary or real?
9x^2- 3x - 8= -10
Simplify 4(x + 40) +2(x -3) plsss help
Answer:
6x + 154
Step-by-step explanation:
4(x + 40) +2(x -3) =
4x + 160 + 2x - 6 =
6x + 154
Answer:
2(3x + 77)
Step-by-step explanation:
4(x+40)+2(x-3)
4x+160+2x-6
6x+154
=2(3x+77)
13 points.First Come First Serve!!!!
(=0w0=) Little one, welcome! Aaliyah!
slope of the line with points (4,-2) and (24,-17)
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1
-17+2 divided by 24-4
-15/20
-3/4
Answer:
-3/4
Step-by-step explanation:
The slope of a line is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/(20)
= -15/20
=-3/4
In how many ways can a class of nineteen students be divided into 3 sets so that 4 students are in the first set, 6 students are in the second set and nine students are in the third set?
Answer:
216
Step-by-step explanation:
The price of an item has risen to $282 today. Yesterday it was $120. Find the percentage increase.
Answer:
57.45% increase
Step-by-step explanation:
The formula for percent change is (new - old)/new x 100.
The new value is $282 and the old value is $120.
Plug that into the formula:
(282 - 120)/282 x 100
= 57.45%
I hope this helped!
To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
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In your own words, please describe the difference between the regression equation ^y= b0 +b1xt and the regression equation Y=B0+B1x
In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.
What is equation?In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.
Here,
Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.
In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.
In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.
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A set of twins purchase a small, oddly shaped plot of land for their retirement. They want to divide the parcel along the grid lines into two identical plots. Can they do it and how?
The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.
To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.
For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.
If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.
However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.
To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.
If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.
the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.
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Note the full question may be :
To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.
Study these equations:
f(x) = 2x – 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
h(x) = 6x2 – 10x – 4
h(x) = 6x2 – 12x – 4
h(x) = 6x2 + 2x – 4
h(x) = 6x2 + 14x + 4
Answer:
6x2-10x-4
Step-by-step explanation:
hx=(2x-4)(3x+1)
hx=2x(3x+1)-4(3x+1)
hx=6x2+2x-12x-4
hx=6x2-10x-4
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent
$720,000 on her campaign. What is the ratio of candidate A's campaign spending to candidate
B's campaign spending?
Answer:
I think it is 4:3
Step-by-step explanation:
From $960,000 take away $720,000 and you get $240,000 and that $960,000 divide by $240,000 and you get 4 and you do the same with $720,000 and you get 3
The requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
here,
During a mayoral election, candidate A spent $960,000 on her campaign, and candidate B spent $720,000 on her campaign.
The ratio of candidate A's campaign spending to candidate B's campaign spending,
= 960000 / 720000
= 96 / 72
= 4 / 3
Thus, the requried ratio of candidate A's campaign spending to candidate B's campaign spending is 4 : 3.
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12. The 95% confidence interval for a population mean is between 6.3 and 7.7. What was the mean
of the sample and margin of error that led to this confidence interval?
Answer:
The mean of the sample was of 7 and the margin of error was of 0.7.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction between the bounds divided by 2.
In this question:
Lower bound: 6.3
Upper bound: 7.7
Mean of the sample is the point estimate, so: (6.3+7.7)/2 = 7
Margin of error: (7.7-6.3)/2 = 0.7
The mean of the sample was of 7 and the margin of error was of 0.7.
Choose the phrases below that will make the sentence true.
In the figure, the length of any line segment in the image is _________________ the length of the corresponding line segment in the preimage. The scale factor of the dilation is _________.
A
shorter than; 2
B
longer than; 2
C
longer than; 1
D
the same length as; 2
In the figure, the length of any line segment in the image is longer the length of the corresponding line segment in the preimage. The scale factor of the dilation is 2
What is the scale factor of dilation?The scale factor of dilation is defined as the change in size of a figure. Thus, a scale factor that is greater than 1 is referred to as an enlargement while a scale factor that is greater than 0 but less than 1 is referred to as a reduction.
Now, we are told that ΔABC has been dilated from center D to form ΔRST, This means that the lengths in ΔRST are longer than the lengths in ΔABC.
Secondly, by close inspection we can see that it was dilated by a scale factor of 2.
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What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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Using the declining-balance method, complete the table as shown (twice the straight-line rate): (Enter your answers as a whole dollar amount.) Auto: $30,000 Estimated life: 5 years Residual value: $800 Year Cost Accumulated Depreciation B.O.Y Book Value B.O.Y Depreciation Expense Accumulated Depreciation E.O.Y Book Value E.O.Y 1 $30,000 A B C D E 2 $30,000 F G H I J 3 $30,000 K L M N O
The table is completed as follows using the double-declining-balance method of depreciation:
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
The double-declining-balance approach is what?
The double-declining-balance method is one of the depreciation techniques in use, however it adds additional costs in the first years of an asset's life.
In this depreciation method, the straight-line rate, which is computed as the product of 100/estimated useful life multiplied by 2, is twice.
At the conclusion of each year, the leftover balance for the depreciation charge is adjusted using the double rate.
The difference between the closing balance from the previous year and the residual value is used to determine the depreciation charge for the most recent year.
Auto = $30,000
Estimated useful life = 5 years
Residual = $800
Depreciable amount = $30,000 - $800 = 29,200
Straight-line depreciation rate = 100/5 = 20%
Double-declining depreciation rate =20% x 2 = 40%
Depreciation Expense:
1st year = 30,000 x 40/100 = 12,000
2nd year = 18,000 x 40/100 = 7,200
3rd year = 10,800 x 40/100 = 4,320
4th year = 6,480 x 40/100 = 2,592
5th year = 3,888 x 40/100 = 1,555
Year Cost Accumulated Book Value Depreciation Accumulated Book
Depreciation B.O.Y Expense Depreciation Value
B.O.Y E.O.Y E.O.Y
1 $30,000 $0 $30,000 $12,000 $12,000 $18,000
2 $30,000 $12,000 $18,000 $7,200 $19,200 $10,800
3 $30,000 $19,200 $10,800 $4,320 $23,520 $6,480
4 $30,000 $23,520 $6,480 $2,592 $26,112 $3,888
5 $30,000 $26,112 $3,888 $1555 $27,667 $2,332
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help me pleaseeeeeeeeeeeeeeeeeee
Answer:
answer a and d
Step-by-step explanation:
one thing i could say it would not be C because if it were symetric, i already see 2 lines that are not symetrical in anyway
sure the graph could extend to infinity and negative infinity and if you see the right arrow, it is pointing down-wards, so if it goes bellow 0, point (0,0) would not be your expected number to see as the minimum
and between -1 and 1, yes, we can already see that the line from -1 and 1 is exponentially increasing
which graph does not represent a proportional relationship
Answer:
A would be your answer if I'm not mistaken
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
Fred earns $ 45 mowing the lawn. He spends $ 5 on music, and puts half of what's left in a savings account. He then gets another $ 10 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings account), and then simplify.
Answer:
$30
Step-by-step explanation:
Given that :
Amount earned for mowing = $45
Amount spent on music = $5
Amount earned for washing neighbor's car = $10
Amount saved = half or remaining amount
Amount of dollars Fred keeps =
Amount Fred keeps:
[(Amount earned - amount spent) / 2] + $10
[($45 - $5) / 2] +
($40 / 2) + $10
= $20 + $10
= $30
Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
2^2+6^2=x^2
4+36=x^2
40=x^2
\(\sqrt{40}=x\)
\(2\sqrt{10}\)\(=x\\\)
Hope that helps :)
Answer:
sqrt(40) or approx. 6.324555
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
6 is a, 2 is b, and x is c, or the hypotenuse.
Plug in the values
6^2 + 2^2 = x^2
Simplify
36 + 4 = x^2
40 = x^2
Square root both sides
sqrt(40) = x
The side lengths of a rectangle are all multiplied by 5. What happens to its perimeter?
Answer:
The perimeter is multiplied by 5.
Step-by-step explanation:
Perimeter of a rectangle:
The perimeter of a rectangle with sides l and w is given by:
\(P = 2(l + w)\)
The side lengths of a rectangle are all multiplied by 5.
This means that \(l = 5l, w = 5w\). So
\(P_M = 2(5l + 5w) = 2*5(l+w) = 10(l + w)\)
What happens to its perimeter?
The rate is:
\(\frac{P_M}{P} = \frac{10(l+w)}{2(l+w)} = 5\)
The perimeter is multiplied by 5.
BRAINLIEST TO CORRECT HURRY
Answer:
<
Step-by-step explanation:
1/2 is bigger than 1/4