Answer:
D) 7x-10y=-50
Step-by-step explanation:
y=7/10x+5
10y=7x+50
10y-7x=50
-7x+10y=50
An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a _____.
An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a contradiction.
What does the phrase "in contradiction" mean?a fact or assertion that contradicts what someone else said or that differs from another fact or assertion to the point where one of them must be incorrect.
What is an illustration of contradiction?A situation or set of ideas that contradict one another is called a contradiction. A contradiction would be saying out loud that you support the environment while never remembering to empty the recycling. A statement that contains opposing ideas is frequently referred to as a "contradiction in terms."
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(-2) (-3) less greater than equal than 8- (-2)
The true statement is 6 less than 10
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
(-2) (-3) less greater than equal than 8- (-2)
We start by evaluating each expression
So, we have the following representation
(-2) (-3) = 6
8- (-2) = 10
Substitute the known values in the above equation, so, we have the following representation
6 less greater than equal than 10
6 is less than 10
So, we have
6 less than 10
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Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.
Answer:
x > - 3
Step-by-step explanation:
x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex] First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]
x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]
- [tex]\frac{5}{2}[/tex] - [tex]\frac{5}{2}[/tex] Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.
x > - [tex]\frac{6}{2}[/tex] Combine - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
A school is selling cookies as a fundraiser. Each box contains 10 cookies. Each student can sell 17 boxes of cookies. How many cookies can 11 students sell
11 students could sell 1870 cookies.
Explain about the expressions?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.
= 10 X 17
= 170 X 11
= 1870
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5 feet x 3 feet x 2 and 1/4
Answer:
3.1354776 m2
Step-by-step explanation:
Answer: 33.75
Step-by-step explanation:
5 times 3 is 15 and 15 times 2 1/4 is 33.75
If police and fire are already on an accident scene, how many feet away should you park your ambulance
It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.
This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.
It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.
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Find an equation of the circle that has center -(-5,6) and passes through (-1,1).
Answer:
[tex](x+5)^2+(y-6)^2=41[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius
1) Plug in the center (-5,6)
[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]
2) Plug in the given point (-1,1) and solve for r²
[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]
Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:
[tex](x+5)^2+(y-6)^2=41[/tex]
I hope this helps!
Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.
A. Process mean is not within statistical control. One of the points lies above the upper control limit.
B. Process mean is not within statistical control. There are points above and below the control limits.
C. Process mean is not within statistical control. There is an upward trend which is indicating an increase in variation.
D. Process mean is within statistical control.
Answer:
(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.
Step-by-step explanation:
Gradpoint
What is the SURFACE AREA
Answer:
184cm
Step-by-step explanation:
to find the area of the triandles
4 times (half of 6 ) 3 = 12 divided by 2 = 6 + 6 ( because there are two right triangles making up one side ) so one side is 12cm add the other side 12 +12 = 24cm
To find the left and right sides mutipy length times width 10 x 5 = 50 add the oher side 50 + 50 = 100
To fide the bottom rectangle do the same thing but 10 x 6 = 60
so add everything together 24+100+60 = 184cm
Suppose the population of a small town is 567 in 2011. The population decreases at a rate of 1.5% every year. What will be the population of the town in 2020?
Answer: 495 people
Step-by-step explanation:
As this involves the population in a future year, you can use the future value model for this:
= Population * ( 1 + rate of increase) ^ number of years
Number of years = 2020 - 2011
= 9 years
Rate of increase will be negative to show that it is a decrease.
= 567 * ( 1 - 1.5%) ⁹
= 494.9
= 495 people
Can someone help me with this problem?
I will mark the person brainliest who answers with an actual correct answer
Please help!!!
Due soon!!
Answer choices are below:
A. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a translation 5 units down and 7 units left.
B. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a 180° rotation counterclockwise about the origin.
C. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a 180° rotation counterclockwise about the origin.
D. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a translation 5 units down and 7 units left.
Find the Circumference of the circle. Leave your answer in terms of TT
Formula: C = 2
Plsss help nowww
Answer:
C = 18π m
Step-by-step explanation:
The circumference (C) of the circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 9 = 18π
If 7 is an element in the domain of f(x)= 6x-18/2, what is the corresponding element in the range?
The corresponding element in the range when 7 is an element in the domain is f(7)=33
Step-by-step explanation:
Given that the 7 is an element in the domain of f(x)
The function f is defined by f(x)=6x-18/2
To find the corresponding element in the range:
That is put x=7 in the given function f(x)
Therefore f(x) becomes
f(7) = 6(7)-18/2
=42-18/2
=42-9
=33
Therefore corresponding element in the range when 7 is an element in the domain is f(7)=33
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The measures of the three angles of a triangle are in the ratio of 1:2:2. Find their measures.
Answer:
36°, 72°, and 72°
Step-by-step explanation:
The interior angles of a triangle will always add to 180°.
Let's say the smallest angle is x, then the other two angles are both 2x.
x+2x+2x=180
5x=180
x=36
If our angles are x, 2x, and 2x, and we know x is 36, then the answer is:
36°, (2*36)°, and (2*36)°, which equals
36°, 72°, and 72°
Check: 36+72+72=180
How do you know if 3 measures can make a triangle?
To determine if three measures can make a triangle, use the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
for example
side 1 = 6
side 2 = 8
side 3 = 10
6 + 8 = 14 > 10,
therefore the three sides can make a triangle.
1. Gather the three measures of the triangle.
2. Add the two smallest side lengths together.
3. Compare the sum of the two smallest sides to the longest side.
4. If the sum of the two smallest sides is greater than the longest side, then the three measures can make a triangle.
5. If the sum of the two smallest sides is not greater than the longest side, then the three measures cannot make a triangle.
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Which set of angle measures can be the angle measures of a triangle?
A. 90°, 45°,46°
B. 10°,10°,160°
C. 28°,12°,120°
Please help if you can..
Answer:
B. 10°, 10°, 160°
Step-by-step explanation:
The rule with triangles is that the angles combined may only ever add to 180°
So, lets add to be sure.
A. 90° + 45° + 46° = 181°
B. 10° + 10° + 160° = 180°
C. 28° + 12° + 120° = 160°
Therefore, option B
Which fraction is equivalent to 1/2? Use the number line to help answer the question
Answer:
4/8
Step-by-step explanation:
Ana and Darryl answered 80 calls. Ana answered 4 times as many as Darryl. How many calls did ana answer
There were 64 calls that Anna answered in this algebra question,
What is Answered calls?
Total engaged calls, another name for answered calls, is a measurement of all incoming calls that were handled by an agent during regular business hours.
Solution:
If Ana answers more calls than Darryl does, then let D be the number of calls Darryl Answered.
A + D = 80
A = 4D
4D + D = 80
5D = 80
D = 80 / 5
= 16
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According to the algebra, Ana answered 16 calls,
What is algebra, exactly?The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we use numbers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine numbers with variables like x, y, and z.
Solution:
Let D be the number of calls Darryl answered if Ana answers more calls than he does.
A + D = 80
A = 4D
4D + D = 80
5D = 80
D = 80 / 5
= 16
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In which of the following intervals does the trigonometric inequality sec(x)
The Trigonometric inequality Sec (x)< cot(x) will hold true in π/2 < x < π.
How can a trigonometric inequality be expressed?
The intervals where the trigonometric inequality sec (x) cot (x) always holds true are what we are looking for.
This can also be expressed as: 1/cos (x) < 1/tan (x)
Now, this is only possible in the fourth quadrant, where cos x is positive and tan (x) is negative, where: π/2 < x < π.
The values for sin, cos, and tan are all positive in the first quadrant.
Only positive values for sin are present in the second quadrant.
The tan values in the third quadrant are all positive.
Only positive values for cos are present in the fourth quadrant.
Therefore the inequality Sec(x) < cot(x) will hold true in π/2 < x < π.
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£99 is shared in the ratio 6 : 5
What is the larger share?
Answer:
54
Step-by-step explanation:
6x + 5x = 99
11x = 99
x=99/11
x=9
6x = 6x9 = 54
5x = 5x9 = 45
ans: 54
Find two numbers if thier sum is -11 and there difference is 41. PLS HELP ME
Answer:
x = 15
y = -26
Step-by-step explanation:
x + y = -11
x - y = 41
let x = 41 + y
substitute:
41 + y + y = -11
2y = -52
y = -26
x -26 = -11
x = 15
If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
Answer:
X=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17x−30+7x+18=180
17x+−30+7x+18=180
(17x+7x)+(−30+18)=180(Combine Like Terms)
24x+−12=180
24x−12=180
Step 2: Add 12 to both sides.
24x−12+12=180+12
24x=192
Step 3: Divide both sides by 24.
X=8
Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {(14.3)}^{2} \times 3.9 \\ = 834.73 \: cubic \: in[/tex]
Answer:835.2
Step-by-step explanation:
Select all expressions that are equivalent to 3x - 2 (x - 4) - 1
Answer:
x+7
Step-by-step explanation:
Remove Parentheses
Collect like terms
Calculate
Answer: x+7
Step-by-step explanation: distribute the -2 first
3x - 2x + 8 - 1
simplify (combine like terms )
3x-2x= x
8-1= 7
x+7
Hope this helps (^_^)
Find the fraction which is mid-way between the two fractions given: 3/8 and
11/24
Answer:
5/12
Step-by-step explanation:
Add both fractions and divide by 2 to find the one right in between.
3/8+11/24=5/6
then divide by two
(5/6)/2=5/12
=5/12
6. Jane put a fence around her square backyard. She used 112 feet of material in total. What is
one side length of her backyard?"
Answer:
28 ft
Step-by-step explanation:
112 ft / 4 sides (since it is a square background)
112/4 = 28 ft/side length.
Anybody know the answer to this? this is due very soon :(
Answer:
Step-by-step explanation:
7,80
Find the sum between (-x + 7y + 2z) and (4x – 9y).
Answer:
3x-2y+2z
Step-by-step explanation:
Ok last one! I tried everything im completely lost! Need help one more time.
Answer:
33 degrees
Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90
90-57=33
Therefore 33 degrees is the answer
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What is the equation for the linear relationship in slope intercept form?
Answer:
y=-2/3x+4
Step-by-step explanation:
slope intercept form = y=mx+b
y=-2/3x+4