The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
What is Linear Equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable.
Here, 6k + 10.5 = 3k + 12
6k - 3k = 12 - 10.5
3k = 1.5
k = 1.5/3
k = 1/2
Thus, The solution of the liner equation 6k + 10.5 = 3k + 12 is k = 1/2.
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PLEASE HELP!!!!!!!!!!!!!
no lo sé, pero como necesito puntos, ¿sí?
Can you guys help me find x and y, please
-2x -5y = 16
2x -3y = -16
-5x + 2y = 11
-3x + 4y = -13
Answer:
sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)
the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)
the third one for -5x+2y=11 for x is NONE and y is 8
the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)
Step-by-step explanation:
PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
Solving :
(2 cos(θ))² = 2
4 cos²θ = 2
cos²θ = 1/√2
cosθ = [tex]\frac{\pi }{4}[/tex]
PLLLLEASE help- geometry
Answer: Reflection, translation
Step-by-step explanation:
Desmis Unit 7 Practice Day 1
The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
The measure of angles are given as,
A 90 degree angleA 100 degree angleA 30 degree angleTo create a triangle with these angles, the sum should be equal to 180 degree of three angles.
90+100+30 > 180
90+90+30 > 180
90+90+100 > 180
100+100+30 > 180
30+100+30 < 180
30+90+30 < 180
There is no combination of angles, which is equal to the 180 degree.
Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.
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There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?
The probability of picking a blue counter from the bag is 1 / 13.
What is the probability?The number of counters initially in the bag:
white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10The number of counters now in the bag:
white counters = 11pink counters = (5 + x) / 26 = 1/213/26
x = 13 - 5 = 8
blue counters = 26 - 13 - 11 = 2Probability of picking a blue counter = number of blue counters / total number of counters
2/26 = 1 / 13
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The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
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HELP ME OUT NO SCAM OR ELSE!!!! I ONLY GOT 1 MIN!!!! 50 BRAINLY PTS
Answer:
The two middle ones
Step-by-step explanation:
the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192
Answer:
48
Step-by-step explanation:
12*4=48
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form
Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.
Answer:
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step-by-step explanation:
The correct question is:
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:
Step 1: Choose a point on the line, such as (2, 5).
Step 2: Choose another point on the line, such as (1, 3).
Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .
Step 4: Substitute those values into the point-slope form.
y – y1 = m(x – x1)
y – 3 = (x – 1)
Which of Talia’s steps is incorrect?
Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.
Answer:
Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.
Step 2 is also correct.
Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.
Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2
Therefore the correct point-slope form is:
y – y1 = m(x – x1)
y – 3 = 2(x – 1)
Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.
Select the table that represents a linear function.
Answer: C.
Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.
(rounding) 17.23. whats the nearest tenth?
Answer:
17.2
Step-by-step explanation:
23 ⇒ Below 5, round down
20 ⇒ Add to decimal
17. 23 ⇒ 17.2 / 17.20
samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)
Answer:
Zero
Step-by-step explanation:
Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero
find an ordered pair for 4 solution for -5x+y=6
⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.
[tex](0,6),(1,11),(2,16)[/tex]
b) The mean of 7, 5, 0, 1, 3, 4 and h is 10. Find the value of h.
Step-by-step explanation:
mean =10
sum of no =7+5+0+1+3+4+h=20+h
N=7
now
mean=sum of no/N
10=20+h/7
10×7=20+h
70-20=h
h=50
Write an 27, 31, 35, .... explicit formula for an, the n th term of the sequence
Answer :
See below ~
Explanation :
Common difference (d) between terms is :31 - 27 = 4Then the recursive formula is :
aₙ = aₙ₋₁ + 4I'm having a little trouble with it,
Answer:
Each person received 3 slices and 3 are left
Answer:
D) Each person receives 3 slices, and there are 3 slices left over
Step-by-step explanation:
If each pizza was cut into 8 slices, then there were 3*8=24 slices.
If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.
Which is the
slope-intercept form of the equation of the line with a slope
of -3 and a y-intercept of -1?
O y + 3 = -1(x-0)
Oy=-3x - 1
O y = 3x + 1
O y = 3x - 1
Answer:
I think its B
Step-by-step explanation:
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?
If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints? A. 48 ft^2 B. 64 ft^2 C. 96 ft^2 D. 112 ft^2
the measurements are 4,4,6 and 3
Answer:
^2D its because the shed has only two faces
the quotient of a and b
9. Find the midpoint of the segment having endpoints (4.1,−6.6) and (6.6,−4.1).
Answer: [tex]\displaystyle (5.35, -5.35)[/tex]
Step-by-step explanation:
We will use the midpoint formula. See attached or view below.
What does this formula do? We are, essentially, finding the average for the x-values and y-values.
[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]
[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]
[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]
[tex]\displaystyle (5.35, -5.35)[/tex]
How many minutes per week do the students in our class play video games please help
Answer:
Mean: 599, Median 60
Step-by-step explanation:
0,0,0,14,16,30,60,260,300,420,1500,2592,2595
add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.
Mean: 599
Sort them from smallest to greatest and the number directly in the middle is the median.
Median: 60
WILL GIVE BRAINLIEST PLEASE HELP ASAP
Please answer this in word form and do it fast because I’m running out of time. Will give brainliest
Step-by-step explanation:
because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.
where these 2 bisectors intersect, is the point that has the same distance to all end points.
Math Due soon pls help :)
HELP A BRUVUH OUT
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
Answer: Choice C
===========================================================
Explanation:
The volume of the rectangular block is:
V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.
Now move onto the triangular prism.
The triangular face has a base of 5 cm and height of 4, so the area of this face is
A = base*height/2 = 5*4/2 = 20/2 = 10 square cm
Multiplying this with the depth of the prism tells us the volume is
V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm
Therefore, the prisms have the same volume.
A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?
Step-by-step explanation:
we have a right-angled triangle :
the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.
then the ground distance (360 ft) and the height of the tower are the 2 legs.
so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse.
in our case
850² = 360² + height²
height² = 850² - 360² = 592,900
height = 770 ft
the tower is 770 ft tall.
Answer:
770 feet
Step-by-step explanation:
Given
Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a towerSolving
Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feetCorresponding Angles are congruent. Which angle corresponds with
Answer:
Angle<8 corresponds with angle<3
Step-by-step explanation:
Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,
Angle 1 and Angle 6 are corresponding angles
Angle 3 and Angle 8 are corresponding angles
Angle 2 and Angle 5 are corresponding angles
Angle 4 and Angle 7 are corresponding angles
Angle relationships with parallel lines
Answer:
x = 132
Step-by-step explanation:
x = 180 - 48
x = 132
Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.
The statements that can be used to compare the characteristics of the functions are:
g(x) has the maximum greatest value.h(x) has a range of all negative numbers.How to interpret the functions?From the table of values (see attachment), we have the following highlights:
f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.The above highlights mean that, the true statements are b and d
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Answer:Its B,D
Step-by-step explanation: Yes
Which ratio table below does not represent a proportional relationship between the number of laptop and desktop computers being sold at an electronics store?
Answer:
table 1
Step-by-step explanation:
a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)
Table1 : (does not represent a proportional relationship) because :
11÷10=1,1
46÷42=1.09...
and 1.1 ≠ 1.09
Table2 : (represents a proportional relationship) because :
3÷6=0.5
9÷18=0.5
18÷36=0.5
72÷144=0.5
Table3 : (represents a proportional relationship) because :
18÷12=1.5
36÷24=1.5
54÷36=1.5
108÷72=1.5
Table4 : (represents a proportional relationship) because :
2÷3=0.666666666667
18÷27=0.666666666667
22÷33=0.666666666667
200÷300=0.666666666667
Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores a 70 or below? Use the formula for a z-score z = x - mu/infinity where x is the given value, mu is the mean and infinity is the standard deviation. Then refer to the chart on page 11 of the lesson to find the probability. a. .0668.b. .0179.c. .0013.d. .5000.
The probability that the student scores a 70 or below is 0.0013
How to determine the probability?The given parameters are:
Mean, μ = 82Standard deviation, σ = 4The probability that a student scores 70 or below is represented as:
P(x ≤ 70)
Calculate the z score for x = 70 using:
[tex]z =\frac{x - \mu}{\sigma}[/tex]
This gives
[tex]z =\frac{70 - 82}{4}[/tex]
Evaluate
z =-3
The probability becomes
P(x ≤ 70) = P(z ≤ -3)
Using the z tables of probabilities, we have:
P(x ≤ 70) = 0.0013499
Approximate
P(x ≤ 70) = 0.0013
Hence, the probability that the student scores a 70 or below is 0.0013
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