Answer:
_48x +32
Step-by-step explanation:
_(16*3x_16*2)
_(48x_32)
_48*+32
Decide if the segments can make a triangle. Answer with Yes/No and explain your answer.
9: 8 cm, 12 cm, 16 cm
10: 5 in, 7 in, 20 in
9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.
10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.
!DUE SOON!
You estimate that a kitten weighs 8 pounds. The actual weight of th kitten is 6 pounds. Find the percent error. Round your answer to the nearest tenth of a percent.
Answer:
you have 33.3% percent error
Step-by-step explanation:
15+10f=-12 does someone knows this one?
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
a bag contains 4 red and 6 white balls. balls are randomly drawn one at a time and replaced, noting whether or not the ball is white. a. what is the probability that the fifth draw gives the first white ball? b. if 5 balls are drawn, what is the probability that 2 of them are white? c. what is the probability that it takes more than 5 draws to get a white ball?
a. The probability that the fifth draw gives the first white ball is 0.01.
b. The probability that 2 of the 5 drawn balls are white is 0.3456.
c. The probability that it takes more than 5 draws to get a white ball is 0.32768.
a. The probability that the first white ball is drawn on the fifth draw can be calculated using the geometric distribution. Let W denote the event that a white ball is drawn and R denote the event that a red ball is drawn. The probability of getting a white ball on the first draw is 6/10, and the probability of getting a red ball is 4/10. Since the balls are replaced after each draw, the probability of getting a white ball on the fifth draw is
P(W on the 5th draw) = P(R, R, R, R, W) = (4/10)^4 × (6/10) = 0.01
b. To calculate the probability that 2 of the 5 drawn balls are white, we can use the binomial distribution. Let X denote the number of white balls drawn out of 5. Then, the probability of drawing 2 white balls out of 5 is:
P(X = 2) = (5 choose 2) × (6/10)^2 × (4/10)^3 = 0.3456
c. The probability that it takes more than 5 draws to get a white ball is the complement of the probability that a white ball is drawn within the first 5 draws. This can also be calculated using the geometric distribution
P(more than 5 draws to get a white ball) = 1 - P(W on or before 5th draw)
= 1 - P(R, R, R, R, W) - P(R, R, R, W) - P(R, R, W) - P(R, W) - P(W)
= 1 - (4/10)^4×(6/10) - (4/10)^3×(6/10) - (4/10)^2×(6/10) - (4/10)×(6/10) - (6/10)
= 0.32768
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Choose ALL answers that describe the quadrilateral TUVW if TU = 27,
UV = 42, VW = 18, and WT = 30.
Parallelogram
Quadrilateral
Rectangle
Rhombus
□ Square
Trapezoid
The correct option that describes the quadrilateral TUVW is trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The distance between the two bases is called the height of the trapezoid.
Trapezoids can be classified into different types based on the lengths of their sides and angles. A trapezoid with no equal side length is called a scalene trapezoid. A scalene trapezoid has two non-parallel sides of different lengths and two parallel sides (bases) of different lengths.
In conclusion, the quadrilateral TUVW is a scalene trapezoid as it has no equal side length.
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A jar with 600 pieces of candy was set out at a wedding reception. After the reception, 180 pieces of candy were left in the jar. What percentage of the candy was taken?
Answer: 70%
Step-by-step explanation:
Number of pieces of candy was set out at a wedding reception = 600
Number of candy left in the jar = 180
Number of candy taken = 600 - 180 = 420
The percentage of candy taken will be:
= 420 / 600 × 100
= 70%
Tom earns $3200 a month. He pays $950 to rent an apartment. What percent of Tom’s income does he pay
Hey there!
Answer:
336.84%
3200 out of 950 is 336.84%
Solution:
3200 out of 950 is what %?
3200 out of 950 is P%
Equation: Y/X = P%
Solving our equation for P
P% = Y/X
P% = 3200/950
p = 3.3684
Convert decimal to percent:
P% = 3.3684 * 100 = 336.84%
well, if we take 3200 to be the 100%, what is 950 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 3200 & 100\\ 950& x \end{array} \implies \cfrac{3200}{950}=\cfrac{100}{x}\implies \cfrac{64}{19}=\cfrac{100}{x} \\\\\\ 64x=1900\implies x=\cfrac{1900}{64}\implies x = 29.6875\)
make "a" the subject form this formula:
\(\sqrt{a} = b\)
Answer: \(a = b^2\)
Reason:
Square both sides to undo the square root.
\(\sqrt{a} = b\\\\\left(\sqrt{a}\right)^2 = b^2\\\\a = b^2\\\\\)
Answer:
\(a=b^{2}\)
Step-by-step explanation:
square both equations:
\(\sqrt{a}^{} =b^{}\)
\(\sqrt{a}^{2} =b^{2}\)
square and square root cancel out:
\(a=b^{2}\)
Select the row of Pascal's triangle that is used to expand the binomial expression (22³ + 3y²)².
1
11
121
1331
14 641
1
5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21
35 21 7 1
1 8 28 56 70 56 28 8 1
M
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Sep 15
1:1
We will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
We know that when we need to expand the expression (a + b)² we select the coefficients from the row of triangle beginning with 1,2 which is (1,2,1).
And when we write the expansion we note that with each new term we decrease the power of a and increase the power of b.
Thus the expansion can be written as
(a + b)² = 1a² + 2ab + 1b²
which we normally write as
(a + b)² = a² + 2ab + b² (1)
According to the question we have been the expression as
(22³ + 3y²)² which is equal to the above expression where,
a = 22³ and b = 3y²
Putting the required values in equation (1) we get
(22³ + 3y²)² = (22³)² + 2(22³)(3y²) + (3y²)²
= 22⁶ + 63888y² + 9y⁴
Hence we will select the third row from the pascal triangle to expand the binomial expression (22³ + 3y²)² which is equal to
(22³ + 3y²)² = 22⁶ + 63888y² + 9y⁴
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chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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At 11,560 feet above sea level, Climax, Colorado, is the highest town in the united States. The lowest town in Calipatria, California, at 185 feet below sea level. Express both of these distance as integers and tell which is closer to sea level. How much closer to sea level is the town that is closer?
Answer:
Climax: 11,560. Calipatria: 185 Calipatra is closer by 11,375ft
Step-by-step explanation:
Climax is 11,560ft above sea level, which means it is 11,560ft away from sea level. Calipatria 185ft away from sea level by the same logic. The one whih is closer to sea level would be the smaller number, which would be 185, and how much closer would be 11,560-185= 11,560.
If you're wondering why the 185 isn't negative, it's because the question is asking how far away from zero the numbers are, so you would take the absolute value of -185 which would be 185.
Explain the difference between (-12) and -12
Answer:
0 or none
Step-by-step explanation:
jump the number line
Select all of the expression equivalent to 2(x+3)
Answer:
Step-by-step explanation:
Answer: B and A
Step-by-step explanation:
(X+3)2 = 2×x + 2×3
= 2x + 6
Likewise
2(x+3) = 2×x +. 2×3
= 2x + 6
Hence they are both same
2.(X +3) still equivalent to 2x +6
If the number of samples were doubled, by what factor would the confidence interval change (keeping the same confidence level
If the number of samples is doubled while keeping the same confidence level, the confidence interval would change by a factor of 1/√2.
The formula for the confidence interval is:
CI = Z × (σ / √n)
Where:
CI is the confidence interval,
Z is the z-score corresponding to the desired confidence level,
σ is the standard deviation of the population, and
n is the sample size.
When the number of samples is doubled, n becomes 2n.
Plugging this into the formula, we get:
CI' = Z × (σ / √(2n))
Dividing CI' by CI to determine the change in the confidence interval:
CI' / CI = (Z × (σ / √(2n))) / (Z × (σ / √n))
CI' / CI = (√n / √(2n))
CI' / CI = √(n / (2n))
CI' / CI = √(1/2)
CI' / CI = 1/√2
Therefore, when the number of samples is doubled while keeping the same confidence level, the confidence interval would change by a factor of 1/√2 or approximately 0.707.
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Find the inverse function in slope-intercept form (mx+b):
f(x) = -x + 6
switch the variables
x = -y + 6
x - 6 = -y
-x + 6 = y
If the original quantity is 8 and the new quantity
is 2, what is the percent decrease?
If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
How did we figure this out?
For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:
\(\boxed{8-2=6}\\\boxed{6/2=3}\)
We are going to take that 25% and multiply it with 3 to get are final answer.
What is the missing number of 25 and 3?\(\boxed{25*3=75}\\\boxed{So,2=75}\)
Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.
Can someone help me what the correct letter are for the Segment Addition and Angle Addition Postulates Escape Room
Answer:
DUDE WHO GAVE YOU THIS WORK SHEET
Which of the following is a solution of 12x-7> 6?
0
1
2
-1
Answer:
12x - 7 > 6
7 + 6 = 13
12x > 13
13 divided by 12 = 1.08
1.08 rounded to 2
Hope It helped!
:) (pls brainly if it does :)
Answer:
I belive it is 1
Step-by-step explanation:
I am so sorry if it is wrong
find the surface area of 4, 6.5, 3.2
The surface area of the rectangular prism is S = 174.4 cm²
Given data ,
The area of the triangular prism is A = ph + ( 1/2 ) bh
The side lengths of the prism are
a = 8 cm
b = 5.5 cm
c = 3.2 cm
Now , the surface area of the rectangular prism is
S = 2 ( ab + bc + ac )
On simplifying the equation , we get
S = 2 ( 8 ) ( 5.5 ) + 2 ( 5.5 ) ( 3.2 ) + 2 ( 8 ) ( 3.2 )
S = 88 + 35.2 + 51.2
S = 174.4 cm²
Hence , the surface area is 174.4 cm²
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ASAP
-WILL MARK BRIANiST
Answer:
5/18
Step-by-step explanation:
(5/6)/3
5/6 X 1/3
5/18
Terry bought 2 shirts for $14 each, 2 pair of socks for $2.99 a pair, and a pair of slacksfor $25.00. The sales tax rate is 6.5%. How much did he pay? (Enter the dollar amountonly. Round to the nearest cent.)
Answer:
Explanation:
Terry bought 2 shirts for $14 each.
That is $28 on shirts
2 pair of socks for $2.99
That is $5.98 on socks
A pair of slacks for $25
The sales tax rate is 6.5% or 6.5/100 or 0.065
We want to know how much he paid.
Adding all the items he bought together, we have:
$28 + $5.98 + $25
= $58.98
Next, we apply the sales tax rate.
Take 6.5% of $58.98
This is: $58.98 * 0.065
= $3.83
Finally, add the sales tax with the amount we got
$58.98 + $3.83
= $62.81
He paid $62.81 in total
this is kinda complex ngl could any high schoolers help me? this is the problem.
Solve for
a
aa.
Give an exact answer.
3
+
0.5
(
4
a
+
8
)
=
9
−
2
a
3+0.5(4a+8)=9−2a. A= ?
Answer:
a = 1/2
Step-by-step explanation:
You want the solution to 3 +0.5(4a +8) = 9 −2a.
SolutionIt usually works well to start by simplifying the equation. That is, you eliminate parentheses, combine like terms.
3 +0.5(4a) +0.5(8) = 9 -2a
3 + 2a +4 = 9 -2a
7 +4a = 9 . . . . . . . . . add 2a
4a = 2 . . . . . . . . . subtract 7
a = 0.5 . . . . . . divide by 4
The value of a is 1/2.
__
Additional comment
The attached calculator output shows this value of 'a' satisfies the equation.
360 * 30 =(365 × ___) × ______
360 x 30
Express 30 as the product of 2 numbers:
30 = 10 x 3
(360 x 3 ) x 10
1,080 x 10
10,800
The number m equals-
The number b equals-
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
Slope explanation.The slope of a line determines how steep it is. A characteristic of a color filter equation is a gradient overflow. The horizontal distance disparities (run) between two points are divided by the average vertical differences (rise) between the exact two points to determine the slope. The equation y = mx + b, which is known as the hill type equation, is used to express the fixed path issue. If grading is m, a = b, and the line's y-intercept is located there (0, b).
Here,
Given :
From the given graph we get
Points(0,5) and (1,0)
So,
Slope m = 1-0 /0-5
=> m= -1/5
and
For b
=> b = 5 units.
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
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PLEASE HELP!! I WILL GIVE POINTS AND BRAINEST!
Answer:
Yes. They are similar because they have the same shape and one is just flipped and smaller.
Answer: Yes
Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.
Please help me I am really confused and need help with this.
Answer:
Step-by-step explanation:
y=10
The graph above portrays the addition of two complex numbers, which complex numbers are being added?
The complex numbers being added in this problem are listed as follows:
z1 = 2 - i.z2 = -1 - 3i.What is a complex number?A complex number is a number that is composed by a real part and an imaginary part, as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The number z1 has a real part of 2 and an imaginary part of -1, hence it is given as follows:
z1 = 2 - i.
The number z2 has a real part of -1 and an imaginary part of -3, hence it is given as follows:
z2 = -1 - 3i.
Hence the first option is the correct option for this problem.
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express x and y in terms of trigonometric ratios of θ. (express your answer in terms of θ only.)
To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.
Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:
sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x
Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:
x = cos θ
y = sin θ
Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:
sin^2 θ + cos^2 θ = 1
From this, we can derive:
cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ
And then use the definitions of tangent and cotangent ratios:
tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ
Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:
1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side
Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:
Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)
Step 2: Solve for y using the sine ratio:
y = r * sin(θ)
So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
Answer:
i think it's <C and <R since they're 90 degree angles, though they are small
Simplify: \sqrt{25x^4}
The simplified expression of √(25x^4) is 5x^2
How to simplify the expression?The statement is given as:
Simplify: \sqrt{25x^4}
Rewrite properly as:
Simplify: √(25x^4)
Split the radical
√(25x^4) = √(25) * √(x^4)
Take the square root of 25
√(25x^4) = 5 * √(x^4)
Take the square root of x^4
√(25x^4) = 5 * x^2
Evaluate the product
√(25x^4) = 5x^2
Hence, the simplified expression of √(25x^4) is 5x^2
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