Answer:
20 m
Step-by-step explanation:
We can see from the hatch marks that JK is equal to one half of HG
2(6x - 4) = 10x
12x - 8 = 10x
2x - 8 = 0
2x = 8
x = 8/2
x = 4
therefore to find JK we will substitute x with 4
JK = (6(4)-4) = 24 - 4 = 20m
Kyle submits a design for the contest, but his explanation was misplaced. How can figure A be mapped onto figure B? Can any other transformation be used to map figure A onto figure B
Answer:
A
Step-by-step explanation:
ita a bc i know its I did this before
fill in the missing numbers along the sides of the triangle so that it contains each of the numbers from 4 through 12 exactly once. furthermore each side of the triangle should contain four numbers whose sum is 32the pair of numbers that can be used for A and B is ___. the pair of numbers that can be used for C and D is ____. and the pair of numbers that can be used for E and F is___.
Answer:
For A and B, we have (10, 6)
For C and D, we have (12, 8)
For E and F, we have (12, 8)
Explanation:
To determine the missing numbers along each side of the triangle, we have to
*Add the two numbers at the vertex
*Subtract it from 32
*Divide it by 2
*Add 2 to it to have the 1st number
*Subtract 2 from it to have the 2nd number
So to find the pair of numbers that can be used for A and B, we'll have;
\(\begin{gathered} 12+4=16 \\ 32-16=16 \\ \frac{16}{2}=8 \\ 8+2=10 \\ 8-2=6 \end{gathered}\)Therefore the missing numbers for A and B are 10 and 6.
So to find the pair of numbers that can be used for C and D, we'll have;
\(\begin{gathered} 4+8=12 \\ 32-12=20 \\ \frac{20}{2}=10 \\ 10+2=12 \\ 10-2=8 \end{gathered}\)Therefore the missing numbers for C and D are 12 and 8.
So to find the pair of numbers that can be used for E and F, we'll have;
\(\begin{gathered} 12+8=20 \\ 32-20=12 \\ \frac{12}{2}=6 \\ 6+1=7 \\ 6-1=5 \end{gathered}\)So to avoid repetition of any of the numbers between 4 and 12, we have to add and subtract 1 instead of 2.
Stellan began a proof.
JL=KM because segment JL≅ segment KM.
JK+KL=JL and KL+LM=KM, by the segment addition postulate.
KL+LM=JL, by substituting JL for KM.
What is a possible next step in Stellan's proof?
Answer:
Bottom left
Step-by-step explanation:
Trust me bro
What is the distance from
Point A to point B?
Distance from A to B = 3 - (-4) = 7
Express the null hypothesis and the alternative hypothesis in symbolic form. The owner of a football team claims that the average attendance at games is over 68,800, and he is therefore justified in moving the team to a city with a larger stadium. H0: μ > 68,800 H1: μ ≤ 68,800 H0: μ = 68,800 H1: μ < 68,800 H0: μ < 68,800 H1: μ ≥ 68,800 H0: μ ≤ 68,800 H1: μ > 68,800
Answer:
H0: μ ≤ 68,800
H1: μ > 68,800
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (H1) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
The Null hypothesis is that the average attendance at games is less than or equal to 68,800.
H0: μ ≤ 68,800
The alternative hypothesis is that the average attendance at games is over 68,800.
H1: μ > 68,800
H₀: μ ≤ 68,800 H₁: μ > 68,800. Then the correct option is D.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption, or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
The Null hypothesis is that the average attendance at games is less than or equal to 68,800.
H₀: μ ≤ 68,800
The alternative hypothesis is that the average attendance at games is over 68,800.
H₁: μ > 68,800
Then the correct option is D.
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Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
For the function f(x) = 5x - 7 answer the following questions:
1. Is the function increasing or decreasing?
2. What is the y-intercept?
3. What is the slope?
4. What is f(-2)?
5. If f(x) = 0, what is x?
Answer:
See below
Step-by-step explanation:
Given function f(x) = 5x - 7Another notation for same function is
y = 5x - 7, where 5 is the slope and -7 is the y-interceptQuestions1. Is the function increasing or decreasing?
Increasing as x has positive slope2. What is the y-intercept?
y- intercept is -73. What is the slope?
The slope is 54. What is f(-2)?
f(-2) = 5(-2) - 7 = - 10 - 7 = -175. If f(x) = 0, what is x?
f(x) = 00 = 5x - 75x = 7x = 7/5x = 1.4Answer:
It is increasing x has a positive slope as seen in the graph above y intercept is= - 7Solving step
\(f(x) = 5x - 7\)
Substitute x=0
\(f(0) = 5 \times 0 - 7\)
Calculate the product
\(f(0) = (0) - 7\)
When adding or Subtracting 0 the quantity does not change
\(f(0) = - 7\)
GSlope is =5 ⚄ ?\(f(x) = 0\)
\(0 = 5x - 7\)
\(5x = 0\)
\(x = \frac{7}{5} \)
OR
\(x = 1.4\)
In a classroom, 100 plastic fish are in a tub. The tub is hidden from the student view. Some fish are green, and the rest are yellow. The students know that there are 100 fish, but they don’t know how many of each color there are. The students go fishing, each time, picking a random fish from the tub, recording its color, and throwing the fish back in the tub. At the end of the day, 65 fish have been chosen, 12, green and 53 yellow. What is the best estimate you can give for the number of green fish in the number of yellow fish in the tub? Describe how to calculate this best estimate, and explain why your method of calculation makes sense in a way that a seventh grader my understand. Is your best estimate necessarily accurate? Why or why not?
The best estimate for the number of fish is that there are 82 yellow fish and 18 green fish, which you can calculate using the rule of three. This estimate is expected to be accurate.
What is the estimated number of fish of each color?This can be calculated using a rule of three as follows. Let's start with the yellow fish:
53 = 65
x = 100
53 x 100 / 65 = 82 yellow fish
Green fish:
12 = 65
x = 100
12 x 100 / 65= 18 green fish
Is this estimate accurate?This estimate is expected to be accurate; however, there might be small differences in real life such as 80 yellow fish and 20 green fish.
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jillian wants to organize her cd collection into wooden crates. each create holds 8 cds. jillian has 48 cds. how can she use a picture to figure out how many crates she needs?
Answer:
48/8
=6
Step-by-step explanation:
answer is 6 creates
i hope it's helpful for youcan you my friendwhoever answers first gets brainliest if i can im desperate??
Answer:
33/209
Step-by-step explanation:
11*19=209 . 3(11)=33 . 33/209
Given parameters:
Length of the rectangle = \(\frac{11}{19}\) mile
Width of the rectangle = \(\frac{3}{11}\) mile
Unknown:
Area of the rectangle = ?
Solution:
The area of a rectangle is
Area of rectangle = length x width
= \(\frac{11}{19}\) x \(\frac{3}{11}\)
= \(\frac{3}{19}\)mile²
please fast if could
Answer:9/41
SOH = opposite over hypotenuse
Step-by-step explanation:
Solve the linear equations
1/4(x-5)+4=1/3(2x+7)-5/6
Answer:
x = 3
Step-by-step explanation:
Given the linear equation :
1/4(x-5)+4=1/3(2x+7)-5/6
(x-5)/4 + 4 = (2x+7)/3 - 5/6
Take the lcm and sum
(x-5+16)/4 = (4x+14-5)/6
(x+11)/4 = (4x+9)/6
Cross multiply
6(x+11) = 4(4x+9)
6x + 66 = 16x + 36
Collect like terms
6x - 16x = 36 - 66
-10x = - 30
x = 30/10
x = 3
How many triangles can be made if two sides are 4 inches and the angle between
them is 90°? (5 points)
O 1
02
O More than 2
O None
Cuantos kilogramos hay en 20 miligramos?
Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5. (5 points) x ≠ −3 x ≠ 3 x ≠ 5 x ≠ −5
The restriction on the domain of f(x) = (x - 3)/(x + 5) is x ≠ -5, as the denominator cannot be equal to zero.
is g(x)=x^9-2+8x^-7 a function or a polynomial
Answer:
a polynomial
Step-by-step explanation:
I got it to right sorry if I'm late
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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A laptop computer is purchased for $2300. Each year, its value is 75% of its value the year before. After how many years will the laptop computer be worth $700 or less? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.
Answer:
after the 1st year
Step-by-step explanation:
$2300 × 75% = $1725.00
$2300-$1725= $575
In 9 minutes, a conveyor belt can move 1,000 bushels of corn into a storage bin. A smaller belt can move 1,000 bushels to the storage bin in 13 minutes. If both belts are used, how long will it take to move 1,000 bushels to the storage bin?
Answer:
In 117min. there will be 9,000 bushels in a storage bin.
Step-by-step explanation:
LCM of 13 and 9 is 117, then add from there.
Use elimination to solve the system
2x+y=-1
-3x+2y=12
(They are the same question) please help if I fail this test I may get held back
which of the following inequalities is true?
Answer:
what are the answer chooice bc i cant see the picture
Step-by-step explanation:
Which table represents the function? Pls help me
A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 1. Thus, the correct option is A.
We have,
A linear equation is an equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, give a straight line.
For the table to represent a linear function, the function must have a constant slope between any two points.
For the first table, the slope between the first two points is,
m = (7-3)/(2-1) = 4
The slope between the last two points is,
m = (15-11)/(4-3)
Hence, the table that represents a linear function is Table 1. Thus, the correct option is A.
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Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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Please help, picture attached
The measures of the unknown angles are as follows:
∠1 = 27∠2 = 97°∠3 = 56°∠4 = 27°∠5 = 56°How to find the measures of angles?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles etc.
The parallel lines are line m and line l . The parallel lines m and l are cut by two transversals.
Therefore, the measures of the unknown angles are as follows:
∠1 = 27°(vertically opposite angles)
∠1 = ∠4(alternate angles)
∠4 = 27°
Alternate angles are congruent. Vertically opposite angles are congruent.
Therefore,
∠1 + ∠2 = 124
27 + ∠2 = 124
∠2 = 124 - 27
∠2 = 97°
∠3 = 180 - ∠2 - ∠1 (sum of angles on a straight line)
∠3 = 180 - 97 - 27
∠3 = 56°
∠5 = 180 - ∠4 - ∠2
∠5 = 180 - 97 - 27
∠5 = 56°
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5.29% APR compounded continuously
Answer:
Step-by-step explanation:
it is a
find the equation if the line that passes through the lines (-1,-5)(5,4)
To find the equation of a line passing through two points, (-1, -5) and (5, 4), we can use the point-slope form of a linear equation.
The formula for the point-slope form is: y - y1 = m(x - x1), where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.
First, let's calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) = (-1, -5) and (x2, y2) = (5, 4).
m = (4 - (-5)) / (5 - (-1))
m = 9 / 6
m = 3/2
Now, we can choose one of the points, let's use (-1, -5), and substitute the values into the point-slope form:
y - y1 = m(x - x1)
y - (-5) = (3/2)(x - (-1))
y + 5 = (3/2)(x + 1)
To convert this equation to the standard form (Ax + By = C), we can multiply through by 2 to eliminate the fraction:
2(y + 5) = 3(x + 1)
2y + 10 = 3x + 3
3x - 2y = 7
So, the equation of the line passing through the points (-1, -5) and (5, 4) is 3x - 2y = 7.
What are steps I need to take to find a? Please include working out ❤️❤️
Can someone help me find the answer to this riddle please?
Answer: Riddle
Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc
Answer:
The answer is "Riddle"
Step-by-step explanation:
First letter: R
Second letter: I
Third letter: D
Fourth Letter: D
Fifth Letter: L
Sixth Letter: E
Daysha's plant grew 100 of a centimeter. India's plant grew of a centimeter.
How many centimeters did the plants grow in all? Write your answer as a decimal.
The total centimeters that the plants grew in all was 200 centimeters or 2.00 centimeters when written as a decimal.
What is centimetres?Centimetres (cm) is a unit of length in the metric system, equal to one-hundredth of a metre. It is commonly used in everyday life, for example when measuring the height of a person or the size of a room. Centimetres are also used in scientific and engineering measurements, such as the size of an object or the distance between two points. Centimetres are divided into millimetres, which are one-thousandth of a metre.
This can be written as a decimal as 2.00 centimeters.
To determine the total centimeters, we simply add the individual centimeter measurements of the two plants.
Daysha's plant grew 100 centimeters and India's plant grew 100 centimeters.
Therefore, the total centimeters that the plants grew in all was 200 centimeters, or 2.00 centimeters when written as a decimal.
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Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
x + y = 2
–5x - 5y = -10
Step-by-step explanation:
The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.
5(x + y) = 2(5)
-5x - 5y = -10
---> 5x + 5y = 10
-5x - 5y = -10
---> 0 = 0
As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.