Solve simultaneously:
x-4y=1
6y=x-2
Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
What is the absolute value of the complex number -4-√2i?
A.√14
B.3√2
C.14
D.18
PLEASE HELP
Answer: Choice B. 3√2
This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]
===========================================================
Reason:
For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]
In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]
So,
[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]
If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.
Side note: This formula or concept is related to the pythagorean theorem.
Nevaeh leans a 22-foot ladder against a wall so that it forms an angle of 64 degrees with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundreth of a foot if necessary
Answer:
19.77 ft
Step-by-step explanation:
The ladder is the hypotenuse of a right triangle ....one leg is the house , the other leg is the ground.
sin 64 = opposite/hypotenuse = height /22
sin 64 = height / 22
22 * sin 64 = height = 19.77 ft
Solve this equation for x. X+13=22
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)
The height of the rectangular prism is 3.1
[tex]6.9x=21.39[/tex]
[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]
Sure hope this helps
An instrument maker creates a triangle in the shape of an isosceles triangle by bending a metal rod. the rod is 13 inches long, and the bottom of the triangle is longer than the two sides. what is the length of the longest side?
the length of the longest slide is inches. the other two sides will each be
inches in length.
The length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
Length of the longest slideIsosceles triangle
Given:
Total length=13 inches
Hence:
AC=BC<AB
Let AC=BC=x-1 inches
AB=x inches
Thus:
x-1+(x-1)+x=13
3x-2=13
3x=13+2
3x=15
divide both side by 3x
x=15/3
x=5 inches
Hence:
Other two side
x-1=5-1=4 inches
Therefore the length of the longest slide is 5 inches. he other two sides will be 4 inches in length.
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Answer:
4 in
Step-by-step explanation:
I Just Took the Test.
check the attachment please.
Answer:
It’s B
Step-by-step explanation:
they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.
ur wlcm :)
brainliest please?
can you help with this please
Answer:
x = 81
Steps:
It says that y ~ √x
We have points (9, 18) as a guide.
We can write y = f(x) = a√x +b
Use points (9, 18) as a guide
18 = a√9 +b
18 = 3a + b
One solution might be a = 6, which means f(x) = 6√x
Thus when y = 54,
54 = 6√x
9 = √x
81 = x
PLSS HELP ASAP. Which of the follow box-and-whisker plots correctly displays this data set?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23
The five number summary is
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37===========================================================
Further Explanation:
The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}
It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.
There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6
Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.
Median = 28.5
---------------
Now break the set up into two pieces
L = {23, 24, 25, 27, 27, 28}
U = {29, 30, 30, 31, 32, 37}
L is the lower set below the median, U is the upper set above the median
The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5
This gives us Q1 = 26 and Q3 = 30.5 respectively
Q1 = first quartile
Q3 = third quartile
The min and max are simply the smallest and largest items of the set
min = 23
max = 37
------------------
We have this five number summary:
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37These five items directly determine the positioning of the box and whiskers. No extra info is needed.
The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.
The Q1 and Q3 handle the left and right edges of the box
The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.
With all this in mind, the best match is choice D
The tip of the left whisker is at 23The left edge of the box is at 26The vertical line inside the box is at 28.5The right edge of the box is at 30.5The tip of the right whisker is at 37----------------------------------
In other words, we can eliminate the following
A) Because the right edge of the box for choice A is at 31 when it should be at 30.5B) The tip of the right whisker is at 35 when it should be at 37C) The tip of the left whisker is at 21 when it should be at 23Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2014, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, estimate the calendar year in which the number of new cases would reach 579.
The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.
How to write the linear regression equation?First of all, we would determine the slope of the given data set by using this formula:
[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]
For the sample mean (years), we have:
[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]
For the sample mean (cases), we have:
[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]
The sums are given by:
∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)
∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25
∑(x - |x|) = -8.75.
∑(x - |x|)² = (-8.75)² = 76.5625.
∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)
∑(y - |y|) = -153 - 157 - 224 - 220 - 303
∑(y - |y|) = -1,057.
∑(x - |x|)(y - |y|) = -8.75 × -1057
∑(x - |x|)(y - |y|) = 9,248.75.
Now, we can determine the slope:
Slope = 9,248.75/76.5625
Slope = 120.8.
Therefore, the equation is given by:
y = 120.8x + a
Next, we would find the value of a:
1057 = 120.8(-8.75) + a
a = 1057 + 1,057
a = 2,114.
Hence, the linear regression model is given by:
y = 120.8x + 2,114.
Since the new cases would reach 579, the calendar year would be calculated as follows:
579 = 120.8x + 2,114
120.8x = 579 - 2,114
120.8x = -1,535
x = -1,535/120.8
x = -12.71.
Year = 2014 + 12.71
Year = 2026.71 ≈ 2027.
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36% of a students of a class where 50 is the total got above 80 marks for a test.
a) How many students obtain more than 80 marks
b) What is the percentage of students got below 80 marks
Answer:
Below in bold.
Step-by-step explanation:
a) 36 % of 50
= 50 * 0.36
= 18 students got above 80 marks.
b) 100 - 36
= 64% got below 80.
c)
50 - 18 = 32 students got below 80.
Please awnser :))))))))
Answer:
See figure below.
Step-by-step explanation:
Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.
Someone pls help me
Answer:
197.92034
Step-by-step explanation:
V=πr2h=π·32·7≈197.92034
4. Tyrone needs to save $100 to pay for his trip to
New York. He earns money delivering pizzas.
He has already saved $45.50
He makes $9.25 an hour delivering pizza.
How many hours must Tyrone work to have at least
$100 saved?
Answer:
6 hours
Step-by-step explanation:
Subtract saved amount from required amount :
$100 - $45.50 $54.50Divide by the pay rate :
$54.50 / $9.255.89 ≅ 6Tyrone must work at least 6 hours to have $100 saved.
Как это решать (отмечено красным)
Answer:
it’s 3 because chinese had the era.
Step-by-step explanation:
Please help me with this, Thank You.
Answer:
missing side is 5x - 4
Step-by-step explanation:
x - 1 + ( 3x + 6 ) + third side = 9x + 1
x - 1 + 3x + 6 + third side = 9x + 1
4x + 5 + third side = 9x + 1
third side = 9x + 1 - ( 4x + 5 )
third side = 9x + 1 - 4x - 5
third side = 5x - 4
What is the slope of the line passing through (5, 5) and (-4, 5)?
Make sure your answer is in degrees. you should be able to find this without a calculator.
sin-1 -1/2 = ?
Answer:
Below.
Step-by-step explanation:
sin-1 1/2 = 30 degrees in the first quadrant.
As the sin is negative in Quadrants 3 and 4,
sin01 -1/2
= 210, 330 degrees, in the range 0-360 degrees
Answer: -30°
Step-by-step explanation:
right on acellus
ou toss a coin (heads or tails), then spin a three-color spinner (red, yellow, or blue). Complete the tree diagram, and then use it to find a probability.
1. Label each column of rectangles with "Coin toss" or "Spinner."
2. Write the outcomes inside the rectangles. Use H for heads, T for tails, R for red, Y for yellow, and B for blue.
3. Write the sample space to the right of the tree diagram. For example, write "TY" next to the branch that represents "Toss a tails, spin yellow."
4. How many outcomes are in the event "Toss a tails, spin yellow"? (1 point)
5. What is the probability of tossing tails and spinning yellow? (1 point)
The tree diagram that represents the events is an illustration of probability and combination
The tree diagramTo draw the tree diagram, we make use of the following representations:
H for heads, T for tails, R for red, Y for yellow, and B for blue.See attachment for the tree diagram.
The sample space and the outcomesFrom the tree diagram, the sample space is as follows:
S = {HR, HY, HB, TR, TY, TB}
The number of outcomes that represents "Toss a tail, spin yellow"This is represented as: TY
From the sample space above, we have:
TY = 1
Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1
The probabilityWe have:
TY = 1
Sample size = 6
Hence, the of tossing tails and spinning yellow is 1/6
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PLEASE HELP ME ASAP!!
Which phrase best matches the expression below? (5 x 7) - 9?
Nine more than the product of five and seven.
Nine less than the product of five and seven.
Nine less than the quotient of five and seven.
Nine more than the quotient of five and seven.
Answer:
nine less than the product of five and seven
Rezultatul calculului 22 grade 45 minute+27 grade 35 minute este egal cu
Answer:
49 grade 80 minutes
Step-by-step explanation:
I don’t know how to figure this question out I need help I need the steps to this
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
Write the following without the absolute value sign: |a^3|, if a<0
Answer:
the answer will be the number 8
What is the slope of the line?
Answer:
The answer is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use rise over run, so you go up 1 then go to the right twice giving you the slope
Solve pls i give brainlist to correct answer.
Answer:
Maggie can run faster by 0.85 minutes.
Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.
Step-by-step explanation:
Maggie = can run a mile in 5.2 minutes (1.3/0.25)
Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)
5.2-4.35= 0.85 minutes
Type the correct answer in the box. burning one gallon of gasoline releases 20 pounds of co2 into the air. harry’s compact car can travel 25 miles on one gallon of gas. if harry drives 15,000 miles in a year, his vehicle will add pounds of co2 to the atmosphere.
The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.
What is the amount of co2 that would be released?The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons
The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds
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I need help! Math isn’t my best subject
Answer:
A and c
Step-by-step explanation:
multiply the 3 to both parts of equation
Answer:
it's A and C, multiply 3 with 3x and 4y
A circular plate has circumference 20.7 inches. What is the area of this plate? Use 3.14 for a.
The area of this plate is about square inches.
(Round the final answer to the nearest whole number as needed. Round all intermediate values to the nearest
thousandth as needed.)
Answer:
34 in²
Step-by-step explanation:
20.7 / 3.14 = 6.592 = diameter
6.592 / 2 = 3.296 = radius
3.296²(3.14) = 34.1
≈ 34 in²
A men's basketball coach would like to know if there is a relationship between how tall a player is and how high he
can jump. complete the statement based on the information.
in this situation, height is the
y and how high he can jump is the
Answer:
Explanitory
Response
Step-by-step explanation:
edge
A rectangle has a length represented by the function f(x) and a width represented by g(x).
Which statement describes the combined functions P(x) and A(x)?
O A(x) is linear, but P(x) is not.
OP(x) is linear, but A(x) is not.
O Both P(x) and A(x) are linear.
O Neither P(x) nor A(x) are linear.
Answer:
the statement that combines the functions is P(x)