We have the equation:
[tex]9x^2-12x+4=0[/tex]
so:
[tex]a=9\qquad b=-12\qquad c=4[/tex]
and:
[tex]\Delta=b^2-4ac=(-12)^2-4\cdot9\cdot4=144-144=\boxed{0}[/tex]
This equation has one solution.
PLEASE HELP!!!! I will award brainliest!! Look at the figure shown below. A student made the table shown below to prove that PQ is equal to RQ. 1. Provide the missing statement and justification in the proof. 2. Using complete sentences, explain why the proof would not work without the missing step.
Answer:
See below.
Step-by-step explanation:
1.
Statement 8. triangle SQR is congruent to triangle TQP
Reason 8. ASA
2.
The only way to prove those two sides are congruent is to first prove that the triangles that contain those sides are congruent. Then you can use CPCTC to prove those sides congruent.
What is the equation of the line: * parallel to the line y = -¼x + 5 and * passing through the point (2, -1) y = -¼x + 4 y = ¼x + 2 y = ¼x - 1 y = -¼x - 1/2
Answer:
y=-1/4x-1/2
Step-by-step explanation:
When two lines are parallel, they have the same slope.
So for this line, we already know that the slope (m) has to equal -1/4x.
Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
in order to find the equation, we must plug in x and y to solve for b, the y intercept (the value of y when x=0).
Now, let's plug in 2 for x and -1 for y and solve for b:
-1=-1/4(2)+b=-1=-1/2+b=-1+1/2=b
b=-1/2
Hence, the answer is y=-1/4x-1/2
Answer:
The answer is -1/4x - 1/2
Step-by-step explanation:
Just took the Unit Session
Picture 1
Soap, Face, cream, Fragrance mist
Common
Which fraction is equal to k in the equation below?
1\3 / 2= k
Answer:
0_10 =0_2
Step-by-step explanation:
Convert the following to base 2:
0_10
Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.
Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:
Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value
0 | 2^0 | 1
Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.
Label each place of the base-2 representation of 0 with the appropriate power of 2:
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | __ | )_(_2)
Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.
Determine the value of 0 in base 2:
0/2=0 with remainder 0
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | 0 | )_(_2)
Hint: | Express 0_10 in base 2.
The number 0_10 is equivalent to 0_2 in base 2.
Answer: 0_10 =0_2
Plz HELP ASAP (algebra)
Answer:16
Step-by-step explanation:
Given: 15% of 60 is 9.
so 9 kids are 15 year old.
and 1 other kid is 16 year old.
Thus, there are total of (15+1) kids that are either 15 or 16 year old. you can also draw venn diagram to find that.
(5)
(5) = 3, then (10) =???
,
3
Step-by-step explanation:
If (5) = 3
Then (10) = 6
Because 5 x 2 = 10 so 3 x 2 = 6
Consider a graph of the equation y = −3x + 4. What is the y-intercept? Answers: −3, 3, 4, −4
Answer:
When finding the y-intercept it indicates that the x-coordinate will be zero.
So,when letting x=0 you will get
y=-3(0)+4
Hence,
y=4
Step-by-step explanation:
Multiply the place value of 6 in 37651 by 11
Answer: Hi!
The place value of 6 in 37651 is equal to 600, as it is in the hundreds place.
All we need to do is multiply 600 by 11:
600 * 11 = 6600
Hope this helps!
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
So in 37,651, the 6 is in the hundreds place since it's the third digit (from right to left).
6 in the hundreds place is 600.
600 times 11 equals 6600.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
♡ Hope this helps! ♡
❀ 0ranges ❀
DUE TONIGHT !! determine whether the statement is true or false. justify your answer. A line with a slope of -5/7 is steeper than a line with a slope of -6/7
False.
Slope is the "rise over run" (y/x) in a linear equation. Because the denominators are the same in both fractions, it means you can just focus on the numerator with the larger number as that one will be the steeper line.
This is the question.
Answer:
B
Step-by-step explanation:
Hello!
A function is a equation that every input has one output
To find if an equation is a function we put in a number for one variable and solve
I'll use 0
y^2 = 0^2 + 5(0) + 4
Simplify
y^2 = 0 + 0 + 4
Combine like terms
y^2 = 4
To remove the square from y you put 4 in the square root in both negative and positive
[tex]y=\sqrt{4}[/tex] [tex]y=-\sqrt{4}[/tex]
Simplify
y = 2, y = -2
For one input (0) we get two outputs (2 and -2) this means it is not a function. So the answer is B
Hope this Helps!
Darren picked 25 flowers that he plans to divide evenly into 3 vases. He will use as many flowers per vase as he can, but may have flowers left
Answer:
He will use flowers per vasebut will have one leftStep-by-step explanation:
In this problem we are required to place flowers evenly across 3 flower vases.
Given that we have 25 flower to collect from and distribute evenly.
we are going to divide 25 by 3
We have
[tex]= \frac{25}{3}\\\\ =8\frac{1}{3}[/tex]
From the result in the improper fraction we can see the Darren can place 8 flowers evenly of the 25 flowers and there will be just one left over
The answers listed below are characteristics of a Type I error EXCEPT for one. Select the characteristic that is not for Type I errora) upsetting status quo for falsehoodb) reject null hypothesis when null is truec) a "missed opportunity"
Answer:
c
Step-by-step explanation:
:)
Please help. I’ll mark you as brainliest if correct
Answer: He doesn't have any money left that period point blank
Step-by-step explanation
7-6=1
1-3= you cant do that
so he doesn't get soda at all.
7 -6 =1. . . . . . . - . . . . . . = . 1-3= nope. - . . . = nahhh
factorise : 64a cube minus 27b cube minus 144a square b plus 108ab square .
Plz Answer this question
Answer:
[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]
Step-by-step explanation:
The question is not properly formatted, here is a good format for proper understanding and readability
[tex]64a^3-27b^3-144a^2+108ab^2[/tex]
let us first collect/ group like terms
[tex]64a^3-144a^2+108ab^2-27b^3[/tex]
we can now bring out the common factors we have
[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]
The simplified expression is
[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]
What is another name for AC
Answer:
air conditioning or air cooling or climate control
hope this helps :)
A card is randomly selected from a standard
deck of playing cards. Find the probability
that it is a face card, given that a black card
is drawn.
Answer:
3 / 13
Step-by-step explanation:
Hello!
There are 52 cards in a deck with half being red and half being black. The question ask for when a black card is drawn so we divide the total by 2
52/ 2 = 26
There are 6 black face cards in a deck so to get the probability one will be drawn we put how many there are over the total amount
6/26 we can simplify this
3 / 13
The answer is 3 / 13
Hope this helps!
Answer:
3/13
Step-by-step explanation:
In a standard 52-card deck, there are 26 black cards and 26 red cards. Of the 26 black cards, 13 are spades and 13 are clubs. Each suit has 3 face cards, Jack, Queen, and King. Therefore, there are 6 black face cards out of a total of 26 black cards.
p(face given black) = 6/26 = 3/13
Find the equation of the line that contains the points (4,2) and (6,10). Write the equation in the form y=mx+b and identify m and b.
Among the four northwestern states, Washington has 51% of the total population, Oregon has 30%, Idaho has 11%, and Montana has 8%. A market researcher selects a sample of 1000 subjects, with 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana. At the 0.05 significance level, test the claim that the sample of 100 subjects has a distribution that agrees with the distribution of state populations.
Answer:
Step-by-step explanation:
H₀ : The distribution of the sample agrees with the population distribution.
H₁ : the distribution of the does not agree with the population distribution.
Using the Chi-square test statistics
we will compute the expected frequencies
Now expected frequency for Washington will be
Fe = Npi = 1000×51% = 5100
expected frequency for Oregon
Fe = Npi = 1000×30% = 300
expected frequency for Idaho
Fe = Npi = 1000×11% = 110
expected frequency for Montana
Fe = Npi = 1000×8% = 80
The Chi=square test statistics is;
x² = ∑ [ (Fo - Fe)² / Fe )
now we substitute
Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question
x² = (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80
x²= 31.9376
so the chi-square test statistics is 31.9376
Now the chi-square critical value
first we compute for degree of freedom
d.f = k -1 = 4 - 1 = 3
So from the critical value table, degree of freedom 3 and significance level 0.05,
the chi-square critical value is 7.8147
Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.
There is sufficient evidence to warrant rejection of the claim that the distribution of the sample agrees with the distribution of the state populations.
The stem-and-leaf plot shows the number of words in the classified ads in a newspaper one day.
How many ads had at least 20, but fewer than 45, words?
1 0 3 3 5 7 9
2 0 0 1 4 5
3 3 8 8
4 7
5 2
key:1|0 = 10
A. 6
B. 3
C. 10
D. 8
Answer:
D. 8
Step-by-step explanation:
We can see the numbers from 20 (inclusive) to 45 on the plot:
20, 20, 21, 24, 25, 33, 38, 38In total 8 adsCorrect answer choice is: D. 8
50 Points! PLEASE ANSWER ASAP
Answer:
a. 1120 is the area b. max # of ppl is 80
Step-by-step explanation:
a. Area= Length* width = 28 * 40 = 1120
(8,10) and (8,38) have 28 units between them
(8,10) and (48,10) have 40 units between them
b. Since the area is 1120 and they say that only one person is allowed per 14 square feet, you would divide 1120 by 14 to get 80 people
If each coordinate equals 1 foot then:
(8,10) to (48,10) is 40 feet (48-8)
(8,10) to (8,38) is 28 feet (38-10)
so now you got length 40 and width 28
40 x 28 = 1120
a. 1120ft^2
b. 1120 / 14 = 80
Find the slope of the line graphed below?
Answer:
7/5
Step-by-step explanation:
rise over run
start at the bottom point and count up along y axis and then count over along x axis
(90) points ill give brainly immideatly but gotta be right -------- Maria and her parents are hiking in the mountains. During one hike, Maria monitored their changing elevation and displayed it in the graph below. Which of the following BEST describes a functional relationship shown in the graph? A Maria's elevation remained constant for two hours. B Maria's elevation decreased between 1:00 and 3:00. C Maria's elevation increased between 9:00 and 12:00. D Maria spent more time decreasing her elevation than increasing her elevation.
Answer:
(C) Maria's elevation increased between 9:00 and 12:00
Step-by-step explanation:
Looking at the graph, we can test each statement.
For A, it says Maria's elevation remained constant for 2 hours. Looking at the graph, we can see that it remained constant for just one hour, so this is eliminated.
For B, Maria's elevation decreased between 1:00 and 3:00, we can see that while x is between 1:00 and 3:00, the y is decreasing, meaning this statement is false - this is eliminated.
For C, Maria's elevation increased between 9:00 and 12:00, we can see that while x is between 9:00 and 12:00, the graph is increasing - which means this is correct.
For D, Maria spent more time decreasing her elevation than increasing, we can count how many hours were spent doing each. Comparing the x-axis, we can see that Maria spent 5 hours increasing and 3 hours decreasing, meaning that Maria spent more time INCREASING than decreasing, making this statement false.
Hope this helped!
Answer: C A B C D
Step-by-step explanation: I HAVE NONE IM JUST SMART
I THINK?
Your anula salary of $42,500 is about to he increased by 2%.Explain the steps you would take to determine your new salary.What will your new salary be?
Answer:
$43,350
Step-by-step explanation:
To find the increase in the salary we need to find the percentage.
2 percent of $42,500 = $850.
$42,500 + $850 = $43,350.
New salary = $43,350.
m∠C= step by step thank you so much
Answer:
please mark my answer brainliest
Step-by-step explanation:
in tri ABD and bcd...
AD =DC ...given
AB =BC.....given
BD =BD.....common
therefore...both tri are congruent...by SSS CRITERION
therefore angle adb...and angle bdc are equal...cpct...
therefore angle bdc =32°
angle dbc =90°
therefore angle bcd =angle C=180- (90 +32) =58°
angle C=58°....answer
If it took 4 hours to clean 8 houses, how many houses could be cleaned in 7 hours
Answer:
14
Step-by-step explanation:
you clean 2 a hour so 7*2=14
Answer:
14 houses
Step-by-step explanation:
As the sample size for a t-distribution increases, the differences between the t-distribution and the standard normal distribution ______.
Answer:
The differences become smaller
Step-by-step explanation:
Normally, we use the t-distribution table rather than the normal distribution when the population standard deviation is unknown and when the sample size is small i.e. less than 30.
Now, as the sample size gets bigger, we will be getting closer to the point where we have to use the normal distribution.
This means that as the sample size increases, the values of the t-distribution will be getting close to that of the normal distribution because normal distribution is used when sample is more than 30.
For example the t-value for a sample of 25 people would be closer to the normal distribution value for a sample of 35 people while a t-value for a sample of 15 people will be far away from the normal distribution value for a sample of 35 people.
Thus, as the sample size increases, the differences between the t-distribution and standard normal distribution becomes smaller.
t takes one person 2 hours to grade 1 exam and it takes another 4 hours to grade 1 exam. If both work together, how many exams they can grades in 8 hours
Answer:
4
Step-by-step explanation:
2×4 equals 8 4 papers in 8 hours
△ABC = △DBC, AB= 10, AC=7 DC= ?
Answer:DC=7
Step-by-step explanation:
As it is written △ABC = △DBC. So the corresonding legs (the legs which are equal ) are as follows:
AC=DC AB=DB BC= BC
So DC=7 the same like AC
Given: 2x + 3y= 6.
What is the y-intercept?
(0,3)
(2,0)
(0,2)
no intercept
In which of the following scenarios will conducting a two-sample t-test for means be appropriate? Check all that apply.
A. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion.
B. To test if the mean annual income of Ontarians is higher than that of British Columbians.
C. To test if there is a difference between the mean annual income of husbands and that of wives in Canada.
D. To test if the proportion of low-income families is higher than that of high-income families in British Columbia.
E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
F. To test if there is a difference between the mean annual income of British Columbians and a known national mean.
G. None of the above
Answer:
B. To test if the mean annual income of Ontarians is higher than that of British Columbians
E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.
Explanation:
The options chosen have two populations that are independent. For example in option B, the annual income of Ontarians is a different population from annual income of British Columbians and they are also independent. The two sample t test can only be used when the populations are independent, it can also be used when computing difference between the means of two populations
The scenarios where conducting a two-sample t-test for means be appropriate include:
A. To test if there is a difference between the proportion of low-income families in British Columbia and a known national proportion.E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.It should be noted that the two sample t-test is used when the populations are independent band the sample size is small.
Therefore, it will be appropriate to test if there is a difference between the proportion of low-income families in British Columbia and a known national and the difference between the mean annual income of male British Columbians and that of female British Columbians.
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