Which equation represents a line that passes through (-2, 4) and has a slope of ?
Answers
Answer:
y - 4 = (2/5)(x + 2)
Step-by-step explanation:
point slope form is
y - y₁ = m(x - x₁)
(x₁, y₁) is a point on the line and m is the slope
------------------------
Given (x₁, y₁) = (-2, 4) and m = 2/5
y - 4 = (2/5)(x + 2)
Related Questions
5(x + 7) = 15
what is the value of x
Answers
Step-by-step explanation:
5(x + 7) = 15
x+7=3
x=-4!!!!!!
Answer:
x = -4
Step-by-step explanation:
Solve for x
5 ( x + 7 ) = 15Divide each side by 5
5( x + 7 ) ÷ 5 = 15 ÷ 5x + 7 = 3subtract 7 from both side
x + 7- 7 = 3 - 7x = -4Assume that in a statistics class the probability of receiving a grade of A equals .30 and the probability of receiving a grade of B equals .30. The probability that a randomly selected student from this class will receive either an A or a B equals:________
a. 0.09
b. 9
c. 6
d. 3
Answers
Answer:
c. 0.6
Step-by-step explanation:
A student cannot receive an A or a B simultaneously, so [tex]P(A \cap B) = 0[/tex].
Grade of A equals .30 and the probability of receiving a grade of B equals .30.
This means that [tex]P(A) = P(B) = 0.3[/tex]
The probability that a randomly selected student from this class will receive either an A or a B equals:
This is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.3 + 0.3 - 0 = 0.6[/tex]
So the probability is 0.6, and the correct answer is given by option c.
step by step..............
Answers
Answer:
............Ans..............
Carson is going to see a movie and is taking his 2 kids. Each movie ticket costs
$14 and there are an assortment of snacks available to purchase for $3.50
each. How much total money would Carson have to pay for his family if he
were to buy 2 snacks for everybody to share? How much would Carson have
to pay if he bought x Snacks for everybody to share?
Total cost with 2 snacks:
Total cost with x sn
acks:
Answers
49 dollars
Step-by-step explanation:
14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.
Total cost with 2 snacks = $35
Total cost with x snacks = 28+3.50x
Given :
Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.
Explanation :
Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.
Total cost = cost of ticket (2 kids) + cost of 2 snacks
[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]
Total cost with 2 snacks = $35
Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks
[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]
Total cost with x snacks = 28+3.50x
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What is the biggest possible answer you can get by putting
one pair of brackets into the calculation below? Show your working.
9 - 4 + 5 x 3
Answers
Answer:
9-4+(5x3)
Step-by-step explanation:
9-4+15
24-4
20
A jacket costs $154.85. There is a 45% discount. What is the new price of the jacket.
A.) $68.68
B.) $85.17
C.) $224.53
Answers
Answer:
B) $85,167
Step-by-step explanation:
u got discount 45% so u just have to pay 55% of it
cost = 55% x $154,85 = $85,1675
its the number 7 can u guys help me
Answers
Answer:
54
Step-by-step explanation:
Angle 2 and Angle 3 are vertical angles
Vertical angles are congruent ( equal to each other )
So if angle 2 = 54 then angle 3 also equals 54
Answer:
∠3 = 54°
Step-by-step explanation:
54° and ∠3 are vertical angles, which means they are equal .
54° = ∠3
need answer with step by step
Answers
Answer:
y = 6/5x -7
Step-by-step explanation:
A bus takes 45 minutes to travel 48 kilometres. What is its average
speed?
Answers
Answer:
64km/h
Step-by-step explanation:
Average speed= 48km÷45 minutes
= 48km÷0.75h
= 64km/h
Solve each equation. Please write a fraction and not a decimal for numbers 1 and 4. If the answer is a fraction, write a fraction using the slash under the question mark key on your keyboard.
1. 2=5
2. +1.8=14.7
3. 6=12
4. 314=12+
5. 2.5=10
Answers
Answer:
[tex]1. \: \: \: 2x = 5 \\ x = \frac{5}{2} \\ 2. \: \: \: \: \: \: y + 1.8 = 14.7 \\ y = 14.7 - 1.8 \\ y = 12.9 \\ 3. \: \: \: \: \: 6 = \frac{1}{2} z \\ z = 6 \times 2 \\ z = 12 \\ 4. \: \: \: \: \: 3\frac{1}{4} = \frac{1}{2} + w \\ w = \frac{1}{2} - 3 \frac{1}{4} \\ w = \frac{12 + 2}{4} \\ w = \frac{14}{4} = \frac{7}{2} \\ please \: mark \: brainliest[/tex]
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the
and replaces it back in the bag. He mixes the balls in the bag and then picks another
ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Answers
Answer:
(a) Tree (see diagram)
(b) (i) 9/64 (ii) 3/8
Step-by-step explanation:
3 black, 5 white, picks two at random with replacement.
SEE DIAGRAM FOR EXPLANATIONS
(a) Tree (see diagram)
(b)
(i) 9/64
(ii) 3/8
In the given problem we have 3 black ball and 5 white ball, the probability tree be constructed as per ball picks from bag.
(a) Refer the attached figure for the probability tree.
(b)
(i) The probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].
(ii) The probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].
Given:
The bag contain 3 black and 5 white balls.
(a)
Refer the attached figure for the construction of probability tree.
(b)
(i)
Since the getting two black ball are independent event so multiply the branch B ( refer attached figure)
[tex]P(\rm two\: black)=\dfrac{3}{8}\times\dfrac {3}{8}\\P(\rm two\: black)=\dfrac{9}{24}[/tex]
Thus, the probability that Paul picks two black balls is [tex]\dfrac{9}{64}[/tex].
(ii)
There should be two outcomes either (B,B) or (W, B).
From the attached figure,
[tex]P(\rm B,B)=\dfrac{9}{64}[/tex]
[tex]P(\rm W, B)=\dfrac{15}{64}[/tex]
Calculate the probability of second ball black.
[tex]P(\rm second\: ball\: black)=P(B, B) + P(W, B)\\P(\rm second\: ball\: black)=\dfrac{9}{64}+\dfrac{15}{64}\\P(\rm second\: ball\: black)=\dfrac{3}{8}[/tex]
Thus, the probability that Paul picks a black ball in his second draw is [tex]\dfrac{3}{8}[/tex].
Learn more about probability here:
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If 8 Superscript y Baseline = 16 Superscript y + 2, what is the value of y?
Answers
Answer:
10. Where was the medical mission held? A. At Barangay Tatalon Marikina B. At Barangay Almanza Las Piñas City C. At Barangay Pamplona Las Piñas City D. At Barangay CAA BF INT'L Las Piñas City
Find the slope and y-intercept of the line.
y=7/4x-10
Answer
-10;7/4
Answers
Answer:
The slope is 7/4 and the y intercept is -10
Step-by-step explanation:
y=7/4x-10
This equation is written is slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 7/4 and the y intercept is -10
5. Add together 1 metres + 76cm + 8cm giving your answer in metres. (a) 1.584m (b) 1.89m (c) 2.34m (d) 3.06m (e) 9.9m
what's the answer in metres
Answers
Answer:
1.84metres
Step-by-step explanation:
convert 76cm to metres
76/100=0.76m
convert 8cm to metres
8/100=0.08m
therefore we have,
1+0.76+0.08=1.84metres
Which of the following is next in the series
Answers
Answer:
a
Step-by-step explanation:
blue red blue red like this
A) Which inequality is shown on this graph
B) which graph shows the inequality
Image attached
Answers
Please mark brainliest
Let A = { 1 , 4 } and B = { 2 , 3 , 5 }.Find × and find the number of relations from A to B
Answers
Given:
The two sets are:
[tex]A=\{1,4\}[/tex]
[tex]B=\{2,3,5\}[/tex]
To find:
The [tex]A\times B[/tex] and the number of relations from A to B.
Solution:
If A and B are two sets, then
[tex]A\times B=\{(x,y)|x\in A, y\in B\}[/tex]
We have,
[tex]A=\{1,4\}[/tex]
[tex]B=\{2,3,5\}[/tex]
Then,
[tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex]
If number of elements in set A is m and the number of element in set B is n, then the number of relations from A to B is [tex]2^{m\times n}[/tex].
From the given sets, it is clear that,
The number of elements in set A = 2
The number of elements in set B = 3
Now, the number of relations from A to B is:
[tex]2^{m\times n}=2^{2\times 3}[/tex]
[tex]2^{m\times n}=2^{6}[/tex]
[tex]2^{m\times n}=64[/tex]
Therefore, the required relation is [tex]A\times B=\{(1,2),(1,3),(1,5),(4,2),(4,3),(4,5)\}[/tex] and the number of relations from A to B is 64.
A stamp collection is purchased for $1,000. Twenty years later, the owner is told that the collection is worth quite a bit of money! If the rate of return on the stamp collection is 4% per year, what is the current value of the stamp collection? In your final answer, include all of your calculations.
Answers
Answer:
The current value of the stamp collection is of $2,191.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A stamp collection is purchased for $1,000.
This means that [tex]P = 1000[/tex]
The rate of return on the stamp collection is 4% per year
This means that [tex]n = 1, r = 0.04[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 1000(1 + 0.04)^{t}[/tex]
[tex]A(t) = 1000(1.04)^{t}[/tex]
What is the current value of the stamp collection?
This is A(20). So
[tex]A(20) = 1000(1.04)^{20} = 2191[/tex]
The current value of the stamp collection is of $2,191.
Answer:
Step-by-step explanation:
y = 1000(1+0.04)^20
y = 1000(1.04)^20
Rounded to the nearest hundredth
y = 1000(2.19)
y = $2190
what is the range and domain of (-3,-22) (-2,-8) (-1,2) (0,8)) (1,10) (2,8) (3,2)
Answers
Answer:
Step-by-step explanation:
domain is x component so
domain = {-3 , -2 , -1 , 0 , 1 , 2 , 3 }
range is y component so
range = { -22 , -8 , 2 , 8 , 10 , 2 }
note : repeated element can be written only one time. For eg here in range 8 is 2 times but we can write only one time because it is the rule for lisying range and domain.
Descent, Inc., produces a variety of climbing and mountaineering equipment. One of its products is a traditional three-strand climbing rope. An important characteristic of any climbing rope is its tensile strength. Descent produces the three-strand rope on two separate production lines: one in Bozeman and the other in Challis. The Bozeman line has recently installed new production equipment. Descent regularly tests the tensile strength of its ropes by randomly selecting them to various tests. The most recent random sample of ropes, taken after the new equipment was installed at the Bozeman plant, revealed the following:
Bozeman; x1= 7,200 lbs
S1=425 n1=25,
Challis;x2=7,087
lbs, S2=415, n2=20
Required:
Conduct the appropriate hypothesis test at the 0.10 level of significance.
Answers
Solution :
Assuming [tex]$\sigma_1^2=\sigma_2^2$[/tex]
We have to test
[tex]$H_0:\mu_1=\mu_2$[/tex]
Against [tex]H_a: \mu_1 \neq \mu_2[/tex]
Level of significance, [tex]$\alpha = 0.05$[/tex]
[tex]$s_p=\sqrt{\frac{(n_1-1)s_1^2+ (n_2-1)s_2^2}{n_1+n_2-2}}$[/tex]
[tex]$s_p=\sqrt{\frac{(25-1)(425)^2+ (20-1)(415)^2}{25+20-2}}$[/tex]
= 420.6107
Under [tex]H_0[/tex], the t-statistics is as follows:
[tex]$t=\frac{(\overline{x_1} - \overline{x_2})}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}}} \sim $[/tex] [tex]$\text{t with }(n_1+n_2-2) \ DF$[/tex]
[tex]$t=\frac{(7200-7087)}{(420.6107)\sqrt{\frac{1}{25}+\frac{1}{20}}}$[/tex]
= 0.90
DF = (25 + 20 - 2)
= 43
P-value of the test = 0.375
Since the p value is more than 0.05, we fail to reject our null hypothesis.
There is no difference between then mean tensile strength of the ropes that is produced in the Bozeman and Challis.
Which function is represented by this graph?
Answers
the answer for this question is A
Find the rate, or percent, for each of the following items. Round your answers to the nearest 0.1%.
Base 72; percentage 12
Percentage 28; base 224
Base 20; percentage 40
Base 44; percentage 99
Percentage 126; base 8400
Answers
Answer:
(last part)
25%
27.8%
290%
300%
67%
Step-by-step explanation:
Seven-eighths of the 360 adults attending a school bazaar were relatives of the students. How many attendees were not relatives?
Answers
Answer:
45
Step-by-step explanation:
If 7/8 are relatives, 1/8 are not relatives
360 / 8 = 45
To complete a task in 30 days a company needs
4 people each working for 7 hours per day.
The company decides to have
5 people each working for 6 hours per day.
Assuming that each person works at the same rate,
how many days will the task take to complete?
Answers
Answer:
28 days
Step-by-step explanation:
4 x 7 x 30= 840 total working hours
5 x 6 x n = 840
= n = 840 ÷ 30
= n = 28 days
The task will take approximately 1 day to complete with 5 people working for 6 hours per day.
Determining the time to complete the taskTotal work done in the first scenario = 4 × 7 × 30
= 840 work hours
Total work done in the second scenario = (5 × 6 × D)
= 4 × 7 × 30
Solving for D:
30D = (4 × 7 × 30) / (5 × 6)
D = (4 × 7) / (5 × 6)
D = 28 / 30
D ≈ 0.9333
Rounding up to the nearest whole day, D = 1
Therefore, the task will take approximately 1 day to complete with 5 people working for 6 hours per day.
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13 52
— = —
6 X
Solve for x please answer quickly
Answers
Answer:
1/24
Step-by-step explanation:
13/6x = 52
1/6x = 52/13
1/6x = 4
1 = 4(6x)
1 = 24x
24x = 1
x = 1/24
Triangles L M N and P O N connect at point N. Angles L M N and N O P are congruent.
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation?
because both triangles appear to be equilateral
because∠MNL and ∠ONP are congruent angles
because one pair of congruent corresponding angles is sufficient to determine similar triangles
because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answers
Answer:
because one pair of congruent corresponding angles is sufficient to determine similar triangles.
Answer:
C
Step-by-step explanation:
which equation is the inverse of the y=7×^2-10?
Answers
Answer:
option B
Step-by-step explanation:
Given :
[tex]y = 7x^2 - 10[/tex]
Replace x and y :
[tex]x = 7y^2 - 10 \\[/tex]
Now solve for y :
[tex]x = 7y^2 - 10 \\\\x + 10 = 7y^2 - 1 0+ 10[/tex] [tex][ \ adding \ 10 \ on \ both \ sides \ ][/tex]
[tex]x + 10 = 7y^2\\\\\frac{x + 10 }{7 } = \frac{7y^2}{7}[/tex] [tex][ \ dividing\ by \ 7 \ on \ both \ sides \ ][/tex]
[tex]\frac{x+ 10}{7} = y^2\\\\\pm \ \sqrt{\frac{x+ 10}{7}} = y[/tex]
I think the choose (2)
[tex]y = - + \sqrt{ \frac{x + 10}{7} } [/tex]
Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z X Y are 45 degrees. The length of side Y X is 9 centimeters.
The length of segment XY is 9 cm. Which statements regarding triangle XYZ are correct? Select two options.
YZ = 9 cm
XZ = 9 cm
XZ = 9 StartRoot 2 EndRoot cm
XZ = 2(XY)
YZ is the longest segment in △XYZ.
Answers
The side YZ=9 cm of the right angle
We have given that,
Triangle X Y Z is shown. Angle X Y Z is a right angle and angles Y Z X and Z X Y are 45 degrees. The length of side Y X is 9 centimeters.
The length of segment XY is 9 cm.
We have to determine the statements regarding triangle XYZ are correct.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
The right angle with angles 45-45-90 has two side same.
Therefore the side YZ=9 cm bc of the right angle
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What is the best estimate of the perimeter of the figure on the grid if each square has side lengths of 1 mm?
Answers
Answer:
the ans of this question is 30cm².
Write each rate as a fraction in lowest terms
15 feet in 20 seconds
feet/sec
Answers
Answer:
3/4 ft / second
Step-by-step explanation:
15 ft / 20 seconds
Divide the top and bottom by 5
3/4 ft / second
Answer:
[tex] \frac{3}{4} [/tex]ft/sec
Step-by-step explanation:
[tex] \frac{feet}{sec} = \frac{15}{20} [/tex]
[tex] \frac{15}{20} \frac{ \div 5}{ \div 5} = \frac{3}{4} [/tex]