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Lesson: 4.1 Introduction to the Cartesian C...
Question 3 of 10, Step 1 of 2
0/20
Correct
Consider the following equation.
2x - 2y = 10
Step 1 of 2: Determine the missing coordinate in the ordered pair (-3, ?) so that it will satisfy the given equation.
Answer
How to enter your answer
Answers
Answer:
(-3, -8)
Step-by-step explanation:
2x-2y=10
ordered pair given x=-3
then 2 (-3) - 2y=10
-6-2y=10
-2y=16
y=-8
Related Questions
A collection of 30 gems, all of which are identical in appearance, are supposedto be genuine diamonds, but actually contain 8 worthless stones. The genuine diamonds arevalued at $1200 each. Two gems are selected.
(a) Let X denote the total actual value of the gems selected. Find the probability distribution function for X.
(b) Find E(X).
Answers
Answer:
Step-by-step explanation:
From the given information:
There are 30 collections of gems, of which 8 are worthless;
Thus, the number of the genuine diamonds = 30 - 8 = 22.
Let X = random variable;
X consider the value as 0 (for 2 worthless stone selection),
X = 1200(1 worthless stone & 1 genuine stone)
X = 2400 (2 genuine stones selected)
However, the numbers of ways of selecting and chosen Gems can be estimated as:
[tex](^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435[/tex]
Thus;
[tex]Pr (X = 0) = \dfrac{(^8_2)}{435}[/tex]
[tex]Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644[/tex]
[tex]P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}[/tex]
[tex]P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}[/tex]
[tex]P(X =1200) = \dfrac{ (8) ( 22) }{435}[/tex]
[tex]P(X =1200) =0.4046[/tex]
[tex]Pr (X = 2400) = \dfrac{(^{22}_2)}{435}[/tex]
[tex]Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310[/tex]
To find E(X):
E(X) = (0 × 0.0644) + (1200 × 0.4046) + (2400 × 0.5310)
E(X) = 0 + 485.52 + 1274.4
E(X) = 1759.92
Isa makes a goal to drink 56 cups of water
Answers
Answer:
Good for her!
Step-by-step explanation:
Answer:
Ok she dark 56 cup witch is Equal to 56x1
Step-by-step explanation:
Help with this question!Please
Answers
Answer:
x = 14 for the first one, x = 60 for the second one
Step-by-step explanation:
Step-by-step explanation:
We know the measure of a straight line is 180° . So that ,
> 5x - 10 + 120 = 180
> 5x = 60 + 10
> 5x = 70
> x = 70/5
> x = 14
Solution 2 :-
> x + 50 + 70 = 180
> x = 180 - 120
> x = 60
A sign is 6 feet long and 4 feet high. Part of it is a red rectangle that is 3 feet by 2 feet. What percent of the sign is red
Answers
Answer:
25%
Step-by-step explanation:
Given data
Dimension of sign
Length= 6ft
Width= 4 ft
Area= Length* Width
Area= 6*4
Area= 24 ft^2
Dimension of Red part
Lenght= 3ft
Width= 2 ft
Area of Red part
Area= 3*2
Area= 6 ft^2
Hence the percentage that is the red part is
=6/24*100
=0.25*100
=25%
jeff volunteers his time by working at an animal shelter. each year he works for total of 240 hours. so far this year, he has worked 97 hours . which equation will solve for how many more hours (h) jeff will volunteer for?
Answers
Answer:
h=240-97
Step-by-step explanation:
If P = (5,4), find the image
of P under the following rotation.
180° counterclockwise about the origin
([?], [])
Enter the number that belongs in
the green box.
Answers
Answer:
[tex](-5,-4)[/tex]
Step-by-step explanation:
Given
[tex]P = (5,4)[/tex]
Rotation: 180 degrees counterclockwise
Required
P'
Rotation: 180 degrees counterclockwise
The rule is:
[tex](x,y) \to (-x,-y)[/tex]
So: [tex]P = (5,4)[/tex] becomes
[tex](5,4) \to (-5,-4)[/tex]
witch sides are perpendicular??
Answers
Answer:
B
Step-by-step explanation:
I can see why this problem is confusing, as both options B & C seem to satisfy the definition. I hope this problem has more than 1 right answer; the Professor is a little chaotic if there isn’t
8
4
A gold bar is similar in shape to a rectangular prism. A gold bar is
7 1
approximately 7 in.x3 in.x1 in. If the value of gold is $1,214 per ounce,
about how much is one gold bar worth? Use the formula w 11.15n, where w
is the weight in ounces and n=volume in cubic inches, to find the weight in
ounces. Explain how you found your answer.
Answers
Answer:
[tex]Worth = \$284258.1[/tex]
Step-by-step explanation:
Given
[tex]Dimension: 7in\ * 3in\ * 1in[/tex]
[tex]Value = \$1214/oz[/tex] ---- value of Gold
Required
The worth of 1 gold bar
First, calculate the volume (n) of the gold bar
[tex]n = 7in * 3in * 1in[/tex]
[tex]n = 21in^3[/tex]
Next, calculate the weight of the gold bar using:
[tex]w = 11.15n[/tex]
[tex]w = 11.15 * 21[/tex]
[tex]w = 234.15oz[/tex]
Multiply the value of Gold by the weight of the gold bar to get the worth of the gold bar.
[tex]Worth =Value * w[/tex]
This gives:
[tex]Worth = \$1214/oz * 234.15oz[/tex]
[tex]Worth = \$1214 * 234.15[/tex]
[tex]Worth = \$284258.1[/tex]
Use Pythagorean Theorem to determine if the three
given sides create a right triangle.
15 m, 8 m, 17 m
Show your work
Answers
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
8²+15²=17²
64+225=289
289=289 YES, it is a right triangle
Choose an appropriate data display for the situation. Write the CAPITAL letter of your choice.
No repeats.
A. bar graph
_5.) the profits of a company over a year
B.circle graph
C. scatter plot
_6.) a person's income based on age
D. line graph
E. pictograph
7.) percent of student athletes in each sport
8.) the numbers and types of different species of fish at an aquarium
Answers
Answer:
LINE GRAPH : the profits of a company over a year
SCATTER PLOT : a person's income based on age
CIRCLE GRAPH : percent of student athletes in each sport
BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium
Step-by-step explanation:
The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.
Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.
The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.
The bar graph also useful for categorization using vertical bars.
The height above the ground of a passenger on a Ferris wheel t minutes after the ride begins is modeled by the differentiable function H, where H(t) is measured in meters. Which of the following is an interpretation of the statement H'(7.5) = 15.708?
(A) The Ferris wheel is turning at a rate of 15,708 meters per minute when the passenger is 7.5 meters above the ground.
(B) The Ferris wheel is turning at a rate of 15.708 meters per minute 7.5 minutes after the ride begins.
(C) The passenger's height above the ground is increasing by 15.708 meters per minute when the passenger is 7.5 meters above the ground.
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
(E) The passenger is 15.708 meters above the ground 7.5 minutes after the ride begins.
Answers
Answer:
(D) The passenger's height aloe the ground is increasing by 15.708 meters per minute 7.5 minutes after the ride begins.
Step-by-step explanation:
Here, H(t) is the height after the t minutes of time.
Given :
H'(7.5) = 15.708 meters / minute
H'(t) = [tex]$\frac{d(H(t))}{dt}$[/tex]
= rate of change of the height
So, here, H'(t) = rate of change of height
Therefore, H'(7.5) = 15.708 meters / minute
It shows that the passenger's height is increasing at rate 15.708 meters per minute at time t = 7.5 minutes after the ride begins.
help what's 1x1+9x20
Answers
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
What ratio/s are equivalent to the following ratio: 6:8
a 3:4 b 12:16. с 18:24 d 30:40
Answers
Answer:
a. 3/4
Step-by-step explanation:
6:8
=6/8
=3/4
Hope it Helps
HELP! can anyone help? I’m pretty stuck and the answer isn’t 2,700.. I’ll give Brainly please :(
Answers
Step by step solution: See photo
A new test is developed to test for organic matter in soil samples, giving "positive" or "negative" results to indicate that a sample does or does not contain organic matter.
For a soil sample that contains organic matter, the test will give a positive result 95% of the time and a negative result (false negative) 5% of the time. For a soil sample that does not contain organic matter, the test will give a positive result (false positive) 20% of the time and a negative result 80% of the time.
A study included a population of 1,000 soil samples, and 70% of those studied where known to contain organic matter.
Fill in the missing values in the table and statement below. If necessary, round the percentage to one decimal place.
Number of
Samples Positive
Result Negative
Result
Contains
Organic Matter 700 665
Does Not Contain
Organic Matter 300
240
If a soil sample test gives a positive result, it is
% likely that the soil sample contains organic matter.
Answers
Answer:
[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}[/tex]
[tex]\% Pr= 95\%[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[\ ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[\ ]} & {240} \ \end{array}[/tex]
Solving (a): Complete the table
The sum of each row must equal to the samples.
i.e.
[tex]Positive + Negative = Samples[/tex]
For the samples that contain organic matter, we have:
[tex]665 + Negative = 700[/tex]
Collect like terms
[tex]Negative = 700 - 665[/tex]
[tex]Negative = 35[/tex]
For the samples that do not contain organic matter, we have:
[tex]Positive + 240 = 300[/tex]
Collect like terms
[tex]Positive = 300 -240[/tex]
[tex]Positive = 60[/tex]
So, the complete table is:
[tex]\begin{array}{cccc}{} & {Samples} & {Positive} & {Negative} & {Contains\ Organic\ Matter} & {700} & {665} & {[35 ]} & {Does\ not\ contain\ organic\ matter} & {300} & {[60]} & {240} \ \end{array}[/tex]
Solving (b): Proportion of samples that are positive if the sample contains organic matter
From the table, we have:
[tex]Samples = 700[/tex]
[tex]Contains\ Organic\ Matter\ n\ Positive = 665[/tex]
So, the percentage is:
[tex]\%Pr = \frac{Contains\ Organic\ Matter\ n\ Positive}{Samples} * 100\%[/tex]
[tex]\% Pr= \frac{665}{700} * 100\%[/tex]
[tex]\% Pr= \frac{665* 100}{700} \%[/tex]
[tex]\% Pr= \frac{66500}{700} \%[/tex]
[tex]\% Pr= 95\%[/tex]
Answer:
35, 60, 95%
Step-by-step explanation:
correct
What coordinates will remain the same? What coordinates will change to the opposite between the pre-- and post-image?
Answers
Answer:
Y values will stay the same
Step-by-step explanation:
Reflecting over the Y axis will alter the distance left and right but not up and down. so only Y remains unchanged
Can you please find mJPK?
Answers
Answer:66.5
Step-by-step explanation:
Let θ represent ∠MLK
Arc length (s) = radius (r) · θ (theta must be in radians)
Step-by-step explanation:
Hector has 7/8 of a pound of leftover Halloween candy. He plans on giving it away to his friends. If he plans on giving each person 1/16 of a pound, how many people can he give to? Show your work.
Answers
Answer: 14
Step-by-step explanation:
1/16x = 7/8
x = 7/8*16/1 = 14
He can sell his candy
Give away to people.
Plz help me well mark brainliest!..
Answers
9514 1404 393
Answer:
(a) (-3/4, 1/2)
Step-by-step explanation:
There are 4 grid lines between 0 and 1 in each direction, so each grid line represents 1/4 unit. Two of them is 1/2 unit; 3 of them is 3/4 unit. The x-dimension is listed first in the ordered pair.
Point S has coordinates (-3/4, 1/2).
There are 14 fish in the fish tank. Five-sevenths of
them are goldfish. How many goldfish are in the
tank?
Answers
Answer:
10
Step-by-step explanation:
40 points! Determine the area of the figure below round to the nearest hundredth
Answers
Answer: 60 + 13 sqrt 10
the top part adds up to 10 and the bottom part is 13
so you get a 7-3-2 sqrt 10 triangle to the left
the area of that is 3 sqrt 10
the area of the leftmost rectangle is 5 * 2sqrt 10 which is 10 sqrt 10
the area of the big vertical rectangle is 5*12 which is 60
so you add them up
60 + 13 sqrt 10
3350 5654 10.. can anyone guess the last two numbers?
Answers
Find the length of missing side BC and AC.
Best answer gets brainliest!!!
Answers
Answer:
b = 7.56
C = 9.24
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is
180 degrees.
A+
90+55=180
A=35
Then find c
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(B)=adj/hyp or Cos(55) = 5.3 / c
re write as
C = 5.3 / cos55
This gives you c = 9.24
Then use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} = c^{2} \\rewrite as\\ b^{2} = c^{2} - a^{2} \\b^{2} = 9.2^{2} - 5.3^{2} \\b^{2} = 57.29\\b = 7.56[/tex]
I need help for my hw asap!! Help pls!!! Thank you
Answers
Answer:
1. S.A. = 4350 cm²
2. S.A. = 864 cm²
3. S.A. = 240 cm²
4. S.A. = 224 m²
5. S.A. = 301.6 in.²
6. S.A. = 6,082.1 cm²
7. S.A. = 923.6 in.²
Step-by-step explanation:
1. Surface area of the rectangular prism = 2(LW + LH + WH)
L = 45 cm
W = 25 cm
H = 15 cm
S.A. = 2(45*25 + 45*15 + 25*15)
S.A. = 4350 m²
2. Surface area of the cube = 6a²
a = 12 cm
S.A. = 6(12²)
S.A. = 864 cm²
3. Surface area of triangular prism = bh + (s1 + s2 + s3)*H
b = 4 cm
h = 6 cm
s1 = 4 cm
s2 = 7 cm
s3 = 7 cm
H = 12 cm
Plug in the values
S.A. = 4*6 + (4 + 7 + 7)*12
S.A. = 24 + (18)*12
S.A. = 24 + 216
S.A. = 240 cm²
4. Surface area of the square based pyramid = area of the square base + 4(area of 1 triangular face)
S.A. = (8*8) + 4[(8*10)/2]
S.A. = 64 + 4(40)
S.A. = 64 + 160
S.A. = 224 cm²
5. Surface area of the cone = πrl + πr²
r = 6 in.
l = 10 in.
S.A. = π*6*10 + π*r²
S.A. = 60π + 36π
S.A. = 301.592895
S.A. = 301.6 in.² (nearest tenth)
6. Surface area of the sphere = 4πr²
r = 22 cm
S.A. = 4*π*22²
S.A. = 1,936π
S.A. = 6,082.1 cm² (nearest tenth)
7. Surface area of the cylinder = 2πrh + 2πr²
r = 7 in.
h = 14 in.
S.A. = 2*π*7*14 + 2*π*7²
S.A. = 923.6 in.² (nearest tenth)
find the area. the figure is not drawn to scale.
Answers
Answer:
131.5
Step-by-step explanation:
To find the area of the rectangle, we multiply the base and the height.
In this case, the base is 8 and the height is 13 I think. ( Your picture cuts it off very poorly)
8 x 13 = 104
Now, we need to find the area of the triangle. It is the same equation as the rectangle but we divide the result by 2.
11 * 5 = 55
55/2 = 27.5
27.5 + 104 = 131.5
If it's wrong, it's probably because of the picture. I can't tell what the height is of the rectangle, because it's certainly not 3.
Area of rectangle =LxB =13X9= Ans of area of rectangle
Step 2 - find the area of triangle :
Area of triangle =1/2 xbxh = 1/2 x (13-8) x 11 = Ans of area of triangle
Last step - add the area of triangle and area of rectangle = your answer
Karen traveled 480 miles in 6 hours. She then increased her speed by 20 miles. How long did it take her to travel the next 560 miles?
Answers
Answer:
Step-by-step explanation:
480 divided by 6 is 80, so she was initially traveling at 80 mph.
She then increased her speed by 20 mph, therefore making it 100 mph. (Someone arrest her already.)
560 divided by 100 is 5.6 hours.
0.1 of an hour is 6 minutes.
0.6 of an hour is therefore 36 minutes.
Your answer is 5 hours and 36 minutes.
Need help ASAP. Don’t understand how to do this
Answers
Answer:
0.088
Step-by-step explanation:
Given two cylinders
Volume of one = 64cm^3
Volume of the other = 729cm^2
Scale factor = Volume of the small/Volume of the large
Scale factor = 64:729
Scale factor = 0.087
a triangles angles measures 87 degrees 32 degrees and 61 degrees. What type of triangle is this?
Answers
Answer:
Scalene
Step-by-step explanation:
Answer: Acute scalene triangle
A triangle with uneven degrees on all sides is known as a scalene triangle. Since none of the degrees are above 90, this triangle can also be described as acute.
Are 2x + 8 and 2 (x + 4)+ 4 equivalent expressions? *
Answers
Answer:
currently no
Why?
Step-by-step explanation:
Look at their differences and when you try to answer them they have different answers. :-)
HOPE IT HELPS
(FROM CROSS)
Write an
explicit formula for An, the nth term of the sequence 48, 12, 3, ...
Answers
Answer:
Your answer is every number is divided by 4
Step-by-step explanation:
so for the 4th term it would be 3/4, then divide that by 4, and then divide that by 4, and so on and so forth.