Answer:
Step-by-step explanation:
for horizontal line slope m=0
eq. of horizontal line at (0,7) with slope 0 is
y-7=0(x-0)
y-7=0
or
y=7
slope of vertical line=∝
eq of vertical line through (0,7) is
y-7=∝(x-0)
or
x-0=0(y-7)
x-0=0
or
x=0
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.
a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.
Answer:
a.)
Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.
Contra-positive statement - If x and y have same parity, then x and y can not be a pair of consecutive integers.
Assumed - x and y have same parity
To prove - x and y can not be a pair of consecutive integers.
Contradiction statement - If x and y are a pair of consecutive integers and they have same parity then then it is not possible.
Assumed - x and y are a pair of consecutive integers and they have same parity
To prove - It is not possible
Proof - Let x and y are even numbers
⇒x = 2a , y = 2b
then , y - x = 2b - 2a = 2(b - a) is alteast 0 if x ≠y
Contradiction.
b.)
Statement - For all integers n, if n² is odd, then n is also odd.
Contrapositive statement - If n is even , then n² is even
assumed - n is even
To prove - n² is even
Contradiction - If n² is odd and n is even then it is not possible
Assumed - n² is odd and n is even
To prove - Our assumption is not true
Proof - As n is even
⇒n = 2a
⇒n² = (2a)² = 4a²
⇒n² is even
Contradiction.
Element X is a radioactive isotope such that every 66 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 240 grams, how much of the element would remain after 29 years, to the nearest whole number?
Answer:
177 grams
Step-by-step explanation:
Answer:
53grams... Approximated
Step-by-step explanation:
In 66 years = 240/2 = 120 grams
In 1 year = 120/66 gram
In 29 years = 120/66 × 29 = 52.73grams
Are 2.r = 4 and 4x + 5 = 13 equivalent?
Answer:
Yes, they are equivalent.
Step-by-step explanation:
2r = 4, r = 2. We get this because 4/2 = 2.
4x+5 = 13. Subtract 5 from both sides and we'll get 4x=8. Now divide 8/4 = 2.
So we get 2 = 2, which means that the expressions are equivalent.
Which of the following is most likely the next step in the series ?
Answer:
The answer is F) g21T
Hope it helps!
Thanks!
In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.
Answer:
30 degrees
Step-by-step explanation:
The computation of the value of x is given below:
Given that
ADC = 120 degrees
So ABC = 60 degrees
As the sum of the opposite angles are 180 degrees
And ACB = 90 degrees
Now in Triangle ADC
Angle ACB + Angle ABC + x = 180 degrees
90 + 60 + x = 180
x = 30 degrees
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles that when combined are equal to 180°.
Vertical: M and I
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: None
Complimentary angles: A pair of angles that when combined are equal to 90°.
Hope this helps! Good luck! :D
The difference between double a number and 4 is 16
Answer:
2x - 4 = 16
Step-by-step explanation:
'the difference' shows that its subtraction so u have to put a - in the equation
'double' means 2 and since you dont know the value of 'a number' you replace it with a variable like x. combine them and you get 2x
so far it should look like 2x -
4 is equal to 4 so just put a 4 in front of the subtraction sign
it'll look like 2x - 4 now
'is 16' basically means is equal to 16 so now ur equation should look like:
2x - 4 = 16
if you wanted to solve that u could add 4 to both sides then divide both sides by 2 and get x = 10
Answer:
x = 10
Step-by-step explanation:
2x - 4 = 16
2x = 20
x = 10
Hope that helps!
PLEASE HELP IM ON A TIME LIMIT!!!
Answer:
i answered the other question like this check your other question for the answerrs
Step-by-step explanation:
Yasmin went to the store and bought 3 1/2 pounds of ground beef for $11.20. How much did the ground beef cost per pound?
Answer:
Step-by-step explanation:
m,m
10. John Francis saved P4 on Monday, P16 on Tuesday, P64 on Wednesday and so on. If the
pattern continues, how much will he save on Friday?
Answer:
On Friday it saved 1,024
Step-by-step explanation:
The computation of the amount saved on friday is given below:
GIven that
On Monday it saved P4
On Tuesday it saved P16 (P4 × 4)
On Wednesday it saved P64 (P16 × 4)
On Thursday it saved 256 (P64 × 4)
On Friday it saved 1,024 (P256 × 4)
(5+3)+2=5+(3+2) what is the property?
Answer:
associative property
Step-by-step explanation:
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, they're swimming the same number of laps at a swim meet. Who will likely finish first?
Answer:
the answer is tess
Step-by-step explanation:i did it
The person that will likely finish first is: Tess.
What is Comparison factor?Factor comparison is a systematic and scientific way of job appraisal that assesses jobs based on a number of characteristics rather than the job as a whole. The goal of factor comparison is to assign monetary worth to the various components of each employment role.
First, Tess and Alice swam laps for the same amount of time, but Tess finished more laps.
Second, they are swimming the same number of laps at a swim meet.
As, Tess finished more laps then Alice so he is always ahead of Alice.
In second time again Tess will finish more laps comparison to Alice.
Learn more about Comparison here:
https://brainly.com/question/28735976
#SPJ3
Find dy/dx using logarithmic differentiation.
y = (3 + x)^4/x , x>0
If 84 of the 224 participants in club activities are nonresidents what is the ratio of residents to nonresidents who participate in club activities
Answer:
5:3
Step-by-step explanation:
140:84 =
35:21 =
5:3
Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)
The ratio is 5:3
What is ratio?A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Total participants= 224
nonresidents =84
So, residents= 224-84 = 140
Now, ratio of residents to nonresidents
=140/84
=70/42
=10/6
=5/3
Learn more about ratio here:
https://brainly.com/question/26974513
#SPJ6
Evaluate the expression for x= -4.
4x2 - 6x + 7
When x= -4,4x2 - 6x +7=
what is the answer ?
Answer: cot
Step-by-step explanation: cos
(
x
)
1
sin
(
x
)
cos
(
x
)
1
sin
(
x
)
Combine
cos
(
x
)
cos
(
x
)
and
1
sin
(
x
)
1
sin
(
x
)
.
cos
(
x
)
sin
(
x
)
cos
(
x
)
sin
(
x
)
Convert from
cos
(
x
)
sin
(
x
)
cos
(
x
)
sin
(
x
)
to
cot
(
x
)
cot
(
x
)
.
cot
(
x
)
if a spider is 35 mm long. how many centimeters long is the spider?
Answer:
It is 3.5 cm long
Step-by-step explanation:
1 cm = 10mm
So divide 35 by 10
HELP PLEASE I need the answer now, I will give 100 points to whoever answers first!!!
Answer:
1) c. 1,208 ft
2) a. 20 squares
Step-by-step explanation:
why is it important to write equivilant fractions before renaming
Answer:
when y rename a fraction, you are finding fraction that have the same value but have different name. these are known as equivalent fraction you can rename fraction million of different ways...As long as you multiply numerator and denominator by same number, you will get and equivalent fraction...
Step-by-step explanation:
for example :5/2
5×2/2×2 , 5×3/2×3 , 5×4/2×4 , 5×5/2×5
ANSWER OF THESE EQUIVALENT NUMBERS ARE :
10/4 , 15/6 , 20/8 , 24/10 ....
Find the surface area of the square pyramid shown below.
3
4
units
Pls help ASAP if you can
Answer:
Step-by-step explanation:
area of a triangular face = 0.5×4×3 = 6 square units
lateral area = area of 4 triangular faces = 4×6 = 24 square units
base area = 4² = 16 square units
total surface area = lateral area + base area = 24+16 = 40 square units
Answer:
40
Step-by-step explanation:
40
at a basketball game the home team scores 60% of the points. The home team scores 45 points. How many points are scored in all?
Answer:
75 points
Step-by-step explanation:
45÷60%×100%=75 points in total
HELP PLEASEEEEEEEEEEEEEE
Answer:
I think it's B 121.5
Step-by-step explanation:
I don't feel like explaining how I got that
If one face of a cube has an area of 6 in2, what is the total surface area of the cube?
Answer:
216..................
During this pandemictl the sales of alcohol increased in Linda's stop shop from 120 boxes to 150 boxes. What is the precent of increase?
Answer:
30/120 *100
Step-by-step explanation:
which is 25 percent
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. : p0.2 : p0.2 B. : p0.2 : p0.2 C. : p0.2 : p0.2 D. : p0.2 : p0.2 E. : p0.2 : p0.2 F. : p0.2 : p0.2 The test statistic is z nothing. (Round to four decimal places as needed.) The P-value is nothing. (Round to four decimal places as needed.) Because the P-value is ▼ greater than less than the significance level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than 20% of the pumps are inaccurate.
Complete question :
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
H0: p=0.2
H1: p<0.2 ;
- 3.16 ;
0.0008 ;
p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Step-by-step explanation:
The null hypothesis ; H0 : p = 20%
Alternative ; H1 : p < 20%
Sample size, n = 1294 + 5705 = 6999
p = inaccurate / total
p = 1294 / 6999 = 0.1849
The test statistic (Z) :
(P - P0) ÷ sqrt((P0(1 - P0)) /n)
P0 = 0.2
(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))
−0.0151 ÷ 0.0047812
= - 3.1582029
= - 3.16
Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01
P value = 0.000789
P value = 0.0008 (4 decimal places).
Since p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
YURR HELP FA MAH SISTA OUT WITH FA HER HOMEWORK if you don't know what I am saying I am saying hey help my sister with her homework
Answer:
yurrrrr
Step-by-step explanation:
ion know what to put...
Answer:
yurrrrrrrrrrrrrrrr bet
Step-by-step explanation:
Mrs. Wilson bought 2 boxes of candy for the party. After filling the pinata and the candy dish, she had ⅚ of a box left. If she split the remaining candy into 10 goodie bags, how much of a box of candy did she put in each bag?
Answer:
Mrs Wilson put 1/12 of the box of candy in each goodie bag
Step-by-step explanation:
5/6 is kinda hard to divide into 10 pieces left like it is, so we turn 5/6 into 10/12 (they're both the same)
Then from here, it's easy
10/12 and 10 goodie bags
So 1/12 goes into each one
help :( submit in simplest radical form :(
Answer:
y and x equal
[tex] \sqrt{5 } [/tex]
Pl help it’s for a grade
Answer:
A,d,e not sur tho
Step-by-step explanation:
Answer:
[tex]r^{2}+6r+9=(r+3)^{2} \\m^{2}-10m+25=(m-5)^{2}[/tex]
Step-by-step explanation:
Only !
(GIVING BRAINLIYEST)
8. what is the volume of these 5 objects
a= 224in^3
b= 240in^3
2. 144ft^3
3. 135in^3
4. l=4
w= 3
h=3
A= 36in³