Answer:
factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
. If a + b < 8 and a = 2, then b < 5. Which of the following would be a counterexample? Ab= 3 Bb = 5 Cb = 6 Db = a
Answer:
B
Step-by-step explanation:
If a=2, then a+5 is still less than 8. This counter example proves that b is not less than 5, but is less than 6.
The counterexample of the given statement is;
⇒ b = 5
Option B is true.
What is Function?
A relation between a set of inputs having one output each is called a function.
The conditions is given as;
If a + b < 8 and a = 2, then b < 5.
Now,
Let b = 5
Then, a + b = 2 + 5 = 7, is less than 8.
But b= 5 is not less than 5.
So, The counterexample of the given statement is;
⇒ b = 5
Option B is true.
Learn more about the function visit:
https://brainly.com/question/3831584
#SPJ5
Consider the golfing situation described. Select at least one graph that you believe models the path of the golf
ball if the golfer makes a hole in one (when the golfer hits the ball into the hole in one shot).
100
(60, 80)
(60, 40)
50
(0,0)
(120,0)
(0,0)
(120,0)
150
100
a.
b.
(0.80)
(0,80)
(-120,0)
(120,0)
(-60, 0)
(60,0)
-100
100
50
C.
d.
d
The answer is the last one. The one with (-60,0) (0,80) and (60,0)
The perimeter of a rectangle is 72 yards. If we increase the length of the rectangle by 3 yards, what will the perimeter of the new rectangle be?
Plz show the work its for midterm.
Answer:
14.3
Step-by-step explanation:
72 divided by 3 equals 24, so we have 24 feet.
1 yard equals 3 feet.
3 yards equal 9 feet.
24+9= 43.
43 feet equal 14.3
Hope this helps! Sorry if it doesn't :(
Answer:
78 yards
Step-by-step explanation:
the perimeter is the outside of the shape, right? so you find the perimeter by adding all of the sides together.
if a rectangle's length is going up by 3, that means one pair of parallel sides are having 3 yards added to them. so essentially you have to add 3 yards twice
hopefully that makes sense! please consider brainliest! :)
(I need one more to move up a rank lol)
18
Jon's car can hold a maximum of 12 gallons of gas. Jon can drive 30 miles on each gallon of gas.
The number of miles Jon can drive depends on the number of gallons of gas in his car.
0/1
Identify the range of the data set.
Answer:
(0, 360]Step-by-step explanation:
Here we have relation between gallons of gas and the distance
The range depends on the domain which is limited up to 12 gallons
The range is:
From zero to 12*30 = 360 miles maximumData set:
(0, 360]find the percent change from 62 to 7
A watercolor painting is 20 inches long by 12 inches wide. Ramon makes a border around the watercolor
painting by making a mat that adds 2 inches to each side of the length and the width. What is the area of
the mat?
2 in
20 in
12in
The area of the mat is
square inches.
Pls I need help I will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The equation of the circle with centre (5, 6) and radius = 3 is x2 +y2 - 10x - 12y + 52 = 0.
I believe this is the answer.
Kris’s mom is putting up border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How much border will be needed to go all the way around the room? 22 feet 120 feet 42 feet 44 feet
Considering the perimeter of the rectangle, it is found that 44 feet will be needed to go all the way around the room.
What is the perimeter of a rectangle?The perimeter of a rectangle of length l and width w is given by:
P = 2(l + w)
In this problem, we have that the length and the width, are respectively, given by l = 12 and w = 10, hence:
P = 2(l + w) = 2(12 + 10) = 44.
44 feet will be needed to go all the way around the room.
More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198
divide the number of meters by to find the number of laps
Answer:
Solution for Divide the number of meters by to find the number of laps. Runners 3 4 Number of Laps 4. 8 12 Number of Meters 1600 3200 4800 6400 de the…
Step-by-step explanation:
Need help I’m stuck ABCD?
Answer:
c
Step-by-step explanation:
Exponent division rule: If base are same for any two variables, then subtract the powers.
[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\dfrac{f^{6}h^{9}}{f^{3}h^{7}}=f^{6-3}h^{9-7}\\\\\\ =f^{3}h^{2}[/tex]
A house worth $350,00 when purchased was worth $335,000 after the first year and $320,000 after the second year. Assume the economy does not pick up and this trend continues.
(is this an arithmetic or geo sequence?)
Write an explicit formula for the sequence.
Answer: Arithmetic Sequence
The nth term formula is [tex]a_n = -15,000n + 365,000[/tex]
Delete the commas if needed.
=======================================================
Explanation:
Subtract each adjacent term like this
term2 - term1 = (335,000) - (350,000) = -15,000term3 - term2 = (320,000) - (335,000) = -15,000Each time we get -15,000 which is the common difference and helps show we have an arithmetic sequence.
The nth term formula can be found following these steps.
[tex]a_n = a + d(n-1)\\\\a_n = 350,000 + (-15,000)(n-1)\\\\a_n = 350,000 - 15,000n + 15,000\\\\a_n = -15,000n + 365,000\\\\[/tex]
If we plugged in n = 1, then we'd get,
[tex]a_n = -15,000n + 365,000\\\\a_1 = -15,000(1) + 365,000\\\\a_1 = -15,000 + 365,000\\\\a_1 = 350,000\\\\[/tex]
Showing the first term is $350,000 which is the initial value of the house.
I'll let you try the other values of n.
Plugging in n = 2 would lead to [tex]a_2 = 335,000[/tex]
Plugging in n = 3 would lead to [tex]a_3 = 320,000[/tex]
Look at the figure. What is another name for CA?
Answer:
Ray AC.
Step-by-step explanation:
They are the same; if you look at the figure, you can see that A and C are the same distance from each other and a ray in either direction would be equivalent to its counterpart.
Answer:
AC
Step-by-step explanation:
The constant in 2x+8
The constant in 2x-8
The coefficient in 2x+8
The variable in 2x+8
The coefficient in -x+9
The constant in -x+9
What would be the answers for all of these?
How many bit strings of length 10 do not contain the substring 00? In other words, how many strings of length 10, consisting only of 1 and 0, in which there are no two consecutive zeros?
(In response, write down only the number without spaces.)
Answer:
144
Step-by-step explanation:
For a bitstring of length n, there are Fibonacci(n+2) strings containing no two consecutive zeros. This can be seen by constructing the strings starting with n=1.
1-bit strings: 1, 0 -- 2 strings not containing consecutive 0s
2-bit strings: 11, 10, 01 -- 3 strings not containing consecutive 0s
Note that we have added 1 to all the 1-bit strings, and added 0 only to the string ending in 1.
3-bit strings: 111, 110, 101, 011, 010 -- 5 strings not containing consecutive 0s
Note that these 5 strings consist of all (3) of the 2-bit strings with 1 appended, and all (1) of the 2-bit strings ending in 1 with 0 appended. The number that now end in 0 is the number previously ending in 1.
__
If (x, y) represents the numbers of n-bit strings ending in (0, 1), then the number of (n+1)-bit strings ending in (0, 1) is (y, x+y). That is, the recursive relation is ...
[tex](x_1,y_1)=(1,1)\\(x_n,y_n)=(y_{n-1},\,x_{n-1}+y_{n-1})\\b_n=x_n+y_n\quad\text{number of n-bit strings without consecutive 0s}[/tex]
For n=1 to n=10, these pairs are ...
(1, 1), (1, 2), (2, 3), (3, 5), (5, 8), (8, 13), (13, 21), (21, 34), (34, 55), (55, 89)
The sequence of b[n] values is ...
2, 3, 5, 8, 13, 21, 34, 55, 89, 144
which are the n=3 to n=12 numbers from the Fibonacci sequence.
That is, there will be Fibonacci(12) = 144 10-bit strings with no consecutive 0s.
What type of lines are shown on the grid below?
Answer:
straight angle and right angle virtually opposite angle
There are 10 people at a party. The chef has 4 cups of spicy chicken and wants to give
each person a 1/3-cup serving. Explain why there is or is not enough spicy chicken to
give each person a 1/3 -cup serving.
Answer:
1/3 x 10 = 10/3, 10/3 = 3 1/3
Step-by-step explanation:
For 10 people he only would need 3 cups and 1/3 so he does have enough
Please Answer ASAP
Jack biked to his friend house at a speed of 10 mph. When he was returning home it was raining. So he biked much slower - at 6 mph. What was Jack's average speed on the way there and back?
Answer:
7.5 mph
Step-by-step explanation:
f(x) = – x3 + 5x2 + 6x + 1 find the degree
To find the degree of this function, you would look at the first term of the function, which is 3. So, the degree of this function would be 3.
What type of number is 9090.9?
Answer:
It's a palindrome - in that it reads the same backwards as forwards - so long as the decimal point remains in the same place.
Step-by-step explanation:
The table shows success rates for two computer games sessions. Whose success rate changed the most between session 1 and session 2?
A. Alexis
B. Brent
C. John
D. None of them
Please show explanation I will mark brainliest :)
Answer:
B. Brent
Step-by-step explanation:
Let us turn the Session 2 scores into fractions so we have common units.
(John) 52% -> [tex]\frac{52}{100}[/tex]
(Alexis) 57.5% -> [tex]\frac{575}{1000}[/tex]
(Brent) 39.5% -> [tex]\frac{395}{1000}[/tex]
Now, we can simplify them.
(John I divide by 2) [tex]\frac{52}{100}[/tex] -> [tex]\frac{26}{50}=\frac{13}{25}[/tex]
(Alexis, I divided by 5) [tex]\frac{575}{1000}[/tex] -> [tex]\frac{115}{200} =\frac{23}{40}[/tex]
(Brent, I divided by 5) [tex]\frac{395}{1000}[/tex] -> [tex]\frac{79}{200}[/tex]
Now subtract Session 2 from Session 1 for each and figure out which one is the largest to answer the question.
(John) [tex]\frac{2}{3}[/tex] - [tex]\frac{13}{25}[/tex] = [tex]\frac{11}{75}[/tex] or about 0.146667
(Alexis) [tex]\frac{11}{20}[/tex] - [tex]\frac{23}{40}[/tex] = [tex]\frac{-1}{40}[/tex] or -0.025
(Brent) [tex]\frac{7}{10}[/tex] - [tex]\frac{79}{200}[/tex] = [tex]\frac{61}{200}[/tex] or 0.305
Since the absolute value of 0.305 is greatest, B. Brent has the largest success rate change.
A 400-milliliter solution of a fabric dye contains 8 ml of hydrogen peroxide. What is the percent concentration of the hydrogen peroxide?
Answer:
Okay so all you need to know is the percentage of the hydrogen peroxide.
We know that the total solution is 400 ml and the hydrogen peroxide solution is 8ml.
8/400
Percent means out of a hundred, this can go multiple ways.
Way #1, benchmarking.
So 8/400 simplified is 1/50 or 2/100.
1/50 is basically 2/100.
And percent means out of a hundred so 2/100 is basically 2percent.
Way #2, proportions
We want to know the percentage of hydrogen/ fabric dye
If you put it in numbers int he same fraction and put “x” as the unknown 8ml hydrogen peroxide solution you’d get.
8/400 = x/100
X/100 because percent means out of a hundred.
Now solve3
Cross multiply,
800 = 400x
divide 400 on both sides
2=x
Now plug it back in the proportion.
8/400 = 2/100
If you simplify to check if they are equal then it’s correct
The points in the table lie on a line. Find the slope of the line.
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 10) ← 2 ordered pairs from the table
m = [tex]\frac{10-2}{3-1}[/tex] = [tex]\frac{8}{2}[/tex] = 4
If the function rule is y=2x, what is the output when the input is 10
Answer:
20
Step-by-step explanation:
The input (X) is 10. The output (Y) is 2X Which means 2 times X. So your answer is 2 × 10 which is 20.
Evaluate 4|-2| - |-3|. Helpppp plz
Answer:
5
Step-by-step explanation:
You invested a total of $9000 at 4.5% and 5% simple interest. During one year, the two accounts earned $425.
How much did you invest in each account?
eg. the first loan is x, the second loan will be (9,000 - x)
First, we need to make an equation based on the problem
first interest + second interest = 492
5% of x + 6% of (9,000 - x) = 492
This is the equation
Second, solve the equation and find out the value of x (first loan)
0.05x + 0.06(9.000 - x) = 492
0.05x + 540 - 0.06x = 492
-0.01x + 540 = 492
-0.01x = 492 - 540
-0.01x = -48
x = -48/-0.01
x = 4,800
Third, find the second loan
9,000 - x
= 9,000 - 4,800
= 4,200
SUMMARY
The first loan that has interest of 5% is $4,800
The second loan that has interest of 6% is $4,200
Ms. Barnes compared the latest grades of her students with the number of absences they had during the school year leading up to the test. The graph shows the results, with a line of best fit represented by the equation y = 11/3x + 92. 2. What is the y-intercept and what does it mean in terms of the situation ?
Answer:
The y intercept is 92, this is because:
In slope intercept equations, it is formatted like:
y = mx + b
where y is the dependent variable and x is the independent variable
m is the slope
and b is the y - intercept
In terms of this situation, 92 means I think probably the start of their latest grades.
pls help ASAP...
no links
Answer: 1/12
Step-by-step explanation:
Multiply the top which is 2. Multiply the bottom which is 24. Simplified by 2 is 1/12.
Bruno tried to find the quotient 7,128 and 24 but he got stuck. His work is shown attached
What is the first mistake Bruno made??
A. He incorrectly divided 71 by 24
B. He incorrectly multiplied 2 by 24
C. He incorrectly divided 232 by 24
C He incorrectly subtracted 192 from 232
If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gº h)(5)?
(5 – 7)^2
(5)^2 - 7
(5)^2(5 – 7)
(5 – 7)x^2
Answer:
(5-7)^2 because g(x) is the value of h(x) squared
x-7, s = 5
5-7)^2
Step-by-step explanation:
at sea level, the speed of sound is 3.40*10^2 meters per second. After 3 hours and 30 minutes, about how many kilometers could a sound wave travel A. 4.28x10^3km B. 7.14x10^3km C. 7.14x10^4km D. 6.73x10^4km E. 4.28x10^5
Answer:A
Step-by-step explanation:
I just did this one and that was correct