The x-coordinate of the solution of the system of equations is x = 20/3
What is the x-coordinate of the solution?Here we have a system of equations below:
3x - y = 6
3x + y = 34
And we want to find the x-cordinate of the solution, so we need to solve this for x.
We can use the elimination method, you can see that if we add both equations we will get:
(3x - y) + (3x + y) = 6 + 34
6x = 40
x = 40/6
We can simplify that fraction to get:
x = 20/3
That is the x-coordinate of the solution.
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How do you find the two missing sides of an acute triangle?
Using the Pythagorean Theorem (a2 + b2 = c2), plug in the known side lengths to solve for the two unknown sides of an acute triangle.
1. Identify the two known side lengths of the triangle.
2. Plug the known side lengths into the Pythagorean Theorem equation (a2 + b2 = c2).
3. Solve for the two unknown sides of the triangle.
4. The two unknown sides are the lengths of the missing sides of the triangle.
5. To solve for the unknown side lengths, first, calculate the hypotenuse (the longest side) by finding the square root of the sum of the squares of the two shorter sides.
6. Then, calculate the shorter sides by subtracting the square of the hypotenuse from the sum of the squares of the two shorter sides.
7. Finally, use the Pythagorean Theorem to calculate the missing side lengths.
8. The two missing side lengths will be the unknown side lengths of the triangle.
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What is the z-score for the mean?
This is because the mean is at the very center of the normal distribution. The center is at 0, with positive values on the right and negative values on the left.
Something like z = 1 means we're 1 standard deviation above the mean. As another example, z = -3 means we're 3 standard deviations below the mean.
⎆ The value of the z-score will tell how many standard deviations the person is away from the mean.
➟ If a z-score is equal to 0, then it will be on the mean. So, z-score for the mean is 0.
Formula:[tex] \\ z = \frac{(x-μ)}{σ} [/tex]
✐ Where,
z = standard scorex = observed value / raw scoreμ = mean σ = standard deviationA school administrator asks each student if they participate in a sport and if they participate in a club. The results are shown below.
Participates in a Sport
Yes No Total
Participates in a Club Yes 620 450 1070
No 325 535 860
Total 945 985 1930
What percentage of students do not participate in a sport?
27.7%
44.6%
51.0%
62.2%.
answer is 51.1
The percentage of students who do not participate in a sport is C. 51.0%.
How to calculate the percentage?To find the percentage of students who do not participate in a sport, we can use the following formula:
(Number of students who do not participate in a sport) / (Total number of students) * 100%
From the table, we can see that the number of students who do not participate in a sport is 985, and the total number of students is 1930. So, plugging these values into the formula gives us:
= 985 / 1930 * 100%
= 51.03%
So, about 51.03% of students do not participate in a sport.
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What is the exponential regression equation that fits these data?
х
у
-4
0.025
-3
0.075
-2
0.25
-1
0.70
0
3
1
8
2
20
3
60
4
160
A. y= 4.90x2 + 14.44x - 4.69
B. y = 3.02 · 2.26%
C. y = 2.01 • 3.80%
D. y = 2.26. 3.02%
Answer: it is y=2.26x3.02^x
Step-by-step explanation:
Option D is correct.
What is exponential regression?
An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data.
The general form for the exponential regression equation[tex]y = ae^{bx}[/tex]
According to the question
We have a data.
Let the exponential regression equation be [tex]y = ae^{bx}[/tex]
Take two values of x and y from the given data for finding the value of a and [tex]e^{b}[/tex].
substitute y = 0.025 and x = -4 in [tex]y = ae^{bx}[/tex] we get
[tex]0.025 = ae^{-4b}...(1)[/tex]
similarly ,substitute y = 0.075 and x = -3 in [tex]y = ae^{bx}[/tex] we get
[tex]0.075 = ae^{-3b} ....(2)[/tex]
from equation 1 and 2
[tex]\frac{0.025}{0.075} = \frac{ae^{-4b} }{ae^{-3b} }[/tex]
⇒[tex]\0.333 = e^{-b}[/tex]
⇒[tex]ln(o.33) = -b[/tex]
⇒[tex]-(1,1086) = -b[/tex]
⇒ b = 1.1086
Therefore,
[tex]e^{b} = (2.718)^{1.1086} = 3.0041[/tex]
and substitute b = 1.1086 and [tex]e^{b} = 3.0041[/tex] in either equation 1 or 2, we get
a = 2.2
Thus, the exponential regression equation will be
[tex]y = (2.2)3.041^{x}[/tex]
Hence, option D is the correct one.
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What is the largest positive multiple of $12$ that is less than $350?$
Answer: 348
Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.
pleaassee help me i'll mark u if u give me the right answersss
Step-by-step explanation:
1.
A.Company T
B.Company A
C.At 20 minutes
2.
A.Tells you the rate of calling minutes
B.Its free.
C. Company K as it's free for the first five minutes.
Which rational number equals 0.3 with line on top? (5 points)
1/3
1/5
3/10
3/5
Answer:
1/3
Step-by-step explanation:
△ABC is reflected across the y-axis. The result is labeled △DEF. What must be true of angles A and D?
∡A is one−half of ∡D.
∡A is twice ∡D.
The angles are congruent.
Answer:
angles remain congruent
Step-by-step explanation:
all transformations, except dilations, do not change lengths of sides or angle measures
What is the solution of 2x 3 7?
Answer: It is a straight line
Step-by-step explanation:
what is the value of 5h(-2)+3g(0)?
Answer:
-32Step-by-step explanation:
At x = -2, the h is calculated using the second piece::
h(-2) = (-2 + 3)(-2 - 2) = -4At x = 0, the g is calculated using the first piece:
g(0) = (0 + 1)² - 5 = 1 - 5 = -4The value of the given expression is:
5h(-2) + 3g(0) = 5(-4) + 3(-4) = -32what is the answer 6u+2(u-8) - 4
Answer:
8u - 20
Step-by-step explanation:
Jennifer earned $1000 babysitting over the summer. She spent $250 of her earnings on new clothes. What percent of her earnings did she spend on new clothes?
Answer:
25%
Step-by-step explanation:
she earned $1,000
she spent $250
250/1000 = 0.25
0.25 x 100 = 25%
Answer:
[tex] \frac{250}{1000} \times \frac{100}{1} [/tex]
[tex] = 0.25 \times 100 \\ 25\%[/tex]
What is the value of a in the functions equation?
A. -3
B.2
C.3
D.-2
Answer:
Im guessing -2
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
use the pythagorean theorem to find the value of a.
Answer:
a = 5
Step-by-step explanation:
Using Pythagoras' theorem in the right triangle
a² + 12² = 13²
a² + 144 = 169 ( subtract 144 from both sides )
a² = 25 ( take the square root of both sides )
a = [tex]\sqrt{25}[/tex] = 5
Answer:
pythagoras theorem formula
h^2=p^2+b^2
here hypotenuse is 13
you can take a as either perpendicular or base
lets take it base
h^2=p^2+b^2
(13)^2=(12)^2+(a)^2
169=144+a^2
169-144=a^2
25=a^2
[tex]\sqrt{25}[/tex]=a
5=a
Step-by-step explanation:
Expand the expression 6(z+x+y)
Answer:
6z + 6x + 6y
Step-by-step explanation:
Just distribute the 6 and multiply them to all variables.
The pattern 7, 21, 63, 189, ________ follows the rule multiply by 3. What is the next number in the pattern?
Group of answer choices
246
321
456
567
Answer
The answer is 567
Step-by-step explanation:
189*3=567
Find the equation of the line
Answer:
y=3x+3
Step-by-step explanation:
The y-intercept is at 3.
If you do rise over run, you get 3/1. Simplify to 3. Hope this helps.
[tex]\blue{\boxed{\boxed{\sf\blue{HELP ME PLEASE}}}}[/tex]
Answer:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. AC bisects ∠A and ∠C [tex]{}[/tex] 1. Given
2. ∠ACB ≅ ∠ACD [tex]{}[/tex] 2. Definition of bisector
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive PE
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By ASA
Step-by-step explanation:
The completed two column proof is presented as follows;
Statement [tex]{}[/tex]
1. AC bisects ∠A and ∠C; The given data on the figure
2. ∠ACB ≅ ∠ACD;[tex]{}[/tex] A bisected angle is divided into two equal angles which are congruent to each other
3. ∠BAC ≅ ∠DAC [tex]{}[/tex] 3. Definition of bisector
4. [tex]\overline {AC}[/tex] = [tex]\overline {AC}[/tex] [tex]{}[/tex] 4. Reflexive Property of Equality (PE)
5. [tex]\overline {AC}[/tex] ≅ [tex]\overline {AC}[/tex] [tex]{}[/tex] 5. Segments with equal lengths are congruent
6. ΔABC ≅ ΔADC [tex]{}[/tex] 6. By Angle-Side-Angle, ASA, is a condition for congruency of two triangles
Where two angles and the included side between the two angles on one triangle are equal to two angles and the included side between the two angles on another triangle, the two triangles are said to be congruent by the Angle-Side-Angle ASA rule and therefore, they each have equal measures for all corresponding angles sides.
Solve by using substitution. x+2y=−1 x=y+5
Answer:
Step-by-step explanation:
the first equation we konw x=-2y-1,
then -2y-1=y+5
so, y = -2, x=3
Answer:
y = -2
x = 3
Step-by-step explanation:
y + 5 + 2y = -1 (substitute)
3y + 5 = -1 (Simplify)
3y = -6 (Get rid of 5)
y = -2 (Divide)
x = -2 + 5 (plug in y)
x = 3 (simplify)
hope this helps :)
Evaluate 3x2 – 9 when x= -2.
Answer:
3(-2)2-9
-12-9
-21
Step-by-step explanation:
×=-2 so -2×3=-6 which is -6×2=-12
and we have -9
soo -12-9=-21
A family of 3 children and 2 adults visited a health club. The club charges sy an hour for each child and $x an hour for each adult. If the family does not want to spend more than $30 an hour at the health club, which of the following graphs best models the situation? Your answer: 16 14 12 10 O 2 2 8 10 12 14 14 12 4 2. + -2 -2 2 4 6 8 10 12 14 10 10 14 101214 a O 2 2 4 8 101214 -2
We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).
2(0)+3(0) ≤ 30 => 0≤ 30
What is inequality?An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.
First we make inequality according to question.
In a family number of children 3
Charge for 1 child = $y per hour
Charge for 3 children = 3y
Charge for 1 Adult = $x per hour
Charge for 2 adults = 2x
If the family does not want to spend more than $30 an hour at health club.
2x+3y≤30
Where, x and y should be greater than 0.
x≥0 and y ≥0
Now we make the graph of this inequality.
First we take equality of equation and then find x and y table.
2x+3y=30
x y
0 10
6 6
15 0
Here we have inequality. So, we have to take a test point (0,0)
2(0)+3(0) ≤ 30 => 0≤ 30
This statement is true. So, Graph will shade towards the test point (0,0)
Please see the attachment for graph:
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So yea just help this is the last one
Answer:
C Because thats the only thing there is no doubt
The continuous random variable N has a normal distribution with mean 7.5 and standard deviation 2.5. For which of the following is the probability equal to 0 ?
(A) P(N = 8) (B) P(N > 8) (C) P(N < 8) (D) P(7 < N < 8) (E) P(N < 7) or P(N > 8)
The probability for all five answers is greater than 0.
The normal distribution is a type of continuous probability distribution, and probability can never equal 0 for a continuous distribution. The probability of a particular value (in this case, 8) is the area under the normal curve at that point. Since the area under a continuous distribution is always greater than 0, the probability of a specific value (A) is not 0.
The probability of a range of values (D) is calculated by subtracting the area under the normal curve to the left of the lower value, from the area under the normal curve to the right of the higher value. This calculation would produce a value greater than 0.
The probability of values greater than a given number (B) is calculated by subtracting the area under the normal curve to the left of the given number, from the area under the normal curve to the right of the given number. This calculation would produce a value greater than 0.
The probability of values less than a given number (C) is calculated by subtracting the area under the normal curve to the right of the given number, from the area under the normal curve to the left of the given number. This calculation would produce a value greater than 0.
Finally, the probability of values less than one number or greater than another number (E) is calculated by subtracting the area under the normal curve to the left of the lower number, from the area under the normal curve to the right of the higher number. Again, this calculation would produce a value greater than 0.
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A rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500
Answer:
POKEMON YEAH!
Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.
4500 - 2485 = 2015
Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:
2015/155 = 13
It will take him 13 more weeks to have enough for the Pokemon cards!
Step-by-step explanation:
Hope it helps! =D
Marco's mom gave him d dollars for his allowance one week. He also earned $ 14.55 dollar sign, 14, point, 5 for his newspaper route that week.
The total amount of money that Marco has that week would be = $ d + 14.55.
What is an allowance income?An allowance income is defined as the amount of money an individual earns that can be used to solve their personal needs.
Marco received double payment, an allowance from the mother and from newspaper route.
The total amount of money received from his mother for allowance for that same week = $ d
The amount of money he earned from his newspaper = $14.55
Therefore the total amount of money Marco has that week =$ d + 14.55
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Complete question:
Marco's mom gave him d dollars for his allowance one week. He also earned \$14.55$14.55dollar sign, 14, point, 55 for his newspaper route that week.
How much money does Marco have?
Write your answer as an expression.
Someone plzzz helpppp meeee
450 yards in 15 minutes (show work) (find the unit rate)
Answer:
30 yards per minute
or
150 feet per minute
Step-by-step explanation:
450/15 = 30
can i have brainliest please?
HELP ME PLEASE!!! PLEASE SOLVE NUMBER 10!! THIS TEST IS TIMED!! I WILL MARK YOU BRAINLIEST!!
Answer:
Honor code states you can't post questions from tests. Sorry.
Step-by-step explanation:
Please help I have a learning disablity
Find the value of x that makes a true statement.
24 + x = 24
x =
Answer:
24 + x + 24
X is 0
Answer: substract 24 from both sides
then x = 0
Step-by-step explanation:
Given v^2 = u^2 − 2as. Solve for u, when v = 10, a = 5 and s = 2.
Answer:
u ≈ 11
Step-by-step explanation:
10² = u² - 2(5)(2)
100 = u² - 20
120 = u²
u = [tex]\sqrt{120}[/tex]
u = [tex]\sqrt{4}[/tex][tex]\sqrt{30}[/tex] = 2[tex]\sqrt{30}[/tex] which is 10.95