Complete whatever squares you can:
x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36
y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1
So rewrite the equation as
x² + y² + z² = 12x + 2y
→ x² - 12x + y² - 2y + z² = 0
→ (x - 6)² - 36 + (y - 1)² - 1 + z² = 0
→ (x - 6)² + (y - 1)² + z² = 37
Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).
Answer:The radius is the square root of the constant term, z
Step-by-step explanation:
edge 2021
A student wants to determine if different types of soil, A and B, affect the propagation of African violets. One hundred leaves from the same variety of African violet were selected. The leaves were then randomly assigned to 50 pots with type A soil and the remaining leaves were put into the 50 pots with type B soil. All of the pots were given the same amount of water and arranged in 10 rows of 10 pots near a window for light. The 50 pots with type A soil were placed closest to the window. At the end of two months, the pots with type A soil had the greatest number of pots with new growth, so the student concluded that soil type A was more effective that soil type B.
Is this a valid conclusion?
Yes, because the leaves were randomly assigned, this evenly distributed the variability in the leaves; therefore, type A soil is more effective than type B soil.
Yes, because the amount of water and light were controlled, this may have reduced the variability in the response; therefore, type A soil is more effective than type B soil.
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth.
No, because only African violets were used, replication was not properly implemented; therefore, we cannot conclude that type A soil was more effective.
Answer:
C
Step-by-step explanation:
No, because the pots with type A soil were closest to the window, they received more light, which may have led to the new growth. Option C is correct.
Given that,
A statement is given we have to justify which among the option is the correct reason.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The pots with type A soil received more light because they were closer to the window, which may have resulted in new growth.
So, the valid conclusion is mentioned in option C.
Thus, Option C is correct.
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Help me with this please
Answer:
101.5m left to use after the big top goes up.
Step-by-step explanation:
18*10=180 [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5
180-78.5= 101.5m
PLEASE HELP Find the x-component of this
vector and the y-component
Answer:
x ≈ 11.5, y ≈ 3.4
Step-by-step explanation:
Th rectangular components of the vector are
x = r cosθ
y = r sinθ
where r is the magnitude and θ is the angle between x- axis and vector
Here r = 12 and θ = 90° - 73.3° = 16.7° , then
x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )
y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )
What rule can you write about where the numbers in an inequality with a greater than symbol lie in relation to each other on the horizontal number line?
Answer:
For inequalities with a less than sign (<), the first number is always to the left of the second number on the horizontal number line.
Step-by-step explanation: I had it as a question.
The first number is always to the left of the second number in inequalities with a less-than sign ().
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
Let's assume an inequality,
y < x
Which represents that x has a greater value than y, and also on the horizontal number line, the first number is always to the left of the second number in inequalities with a less-than sign ().
Thus, The first number is always to the left of the second number in inequalities with a less-than sign ().
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A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
A weighted coin has a 0.599 probability of landing on heads. What is the probability that it takes 5 flips for the first head to occur?
Answer:
0.411^5 times 0.599
Step-by-step explanation:
0.599 chance of landing on heads.
0.411 chance of not landing on heads.
0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).
Plz help will mark Brainliest What is the length of Ac
Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2
During the winter months, heating bills can be expensive. A contractor claims that installing a new brand of insulation will considerably lower your heating bill (which was $205 last month). After conducting the test (assuming the data were provided). you find that the results are significant at the 5% level. You may also conclude: __________.a. the test would also be significant at the 10% level. b. the test would also be significant at the 1% level. c. both of the above. d. none of the above.
Answer:
The correct option is a
Step-by-step explanation:
Generally the null hypothesis is rejected (that the result is significant ) when the p-value is less that the the level of significance
Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is 10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also be significant at the level of significance )
Which weighs more a backpack that weighs 9.5 kg grams or a case of water that weighs 16 pounds
Answer:
The backpack weighs more
Step-by-step explanation:
9.5kg = 20.94391 lbs
Answer:
a backpack that weighs 9.5kg
Step-by-step explanation:
kilogram (kg) is stated to be 2.2 times heavier than a pound
3(2e + 5) + 8(1 - e) = 1
ILL MARK BRAINLIST HELP !!!
Answer:
11 (positive)
Step-by-step explanation:
Answer:
e=11
Step-by-step explanation:
3(2e+5)+8(1-e)=1
6e+15+8-8e=1
-2e+23=1
-2e=-22
e=11
how do you find inital value on a graph I forgot how???????????????????????
Answer:
I believe you would look for what x is when y is 0, but I may be wrong.
4n+7-2 pls in really need help;-;
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 = 2
Then the answer would be -1.25
Answer:
4n+5 hope this helps
Step-by-step explanation:
4n+7-2
4n+5
In △ABC, D∈AB so that AD:DB=1:3. If ACDB=18m2. Find AACD and AABC
Answer:
I really do not know sorry I just need points
At the carnival, the ratio of people who won the ring toss game to lost it was 8 : 5. If 56
people won, how many people would have lost?
Answer:
The answer is 35
Step-by-step explanation:
First of all, note that 56 is the same as 56/1 since 56 divided by 1 is 56. Therefore, start by setting up the problem like this:
Step 1: 56/1 x 8/5 =
Step 2: Multiply the numerators together (56 x 8 = 448) and multiply the denominators together (1 x 5 = 5) and make it into one fraction like so 448/5 Step 3: Convert the improper fraction above to a mixed number to get the answer: 89 3/5
That's it! Now you know how to calculate 56 times 8:5.
Answer:
35
Step-by-step explanation:
Marc has 3 fewer than 4 times the amount of ringtones than Melanie has. Write
an expression to show how many ringtones Marc has. Let r represent the
number of ringtones on Melanie's phone.
Answer:
4r-3
Step-by-step explanation:
3 fewer means subtracting 3 and 4 represents the r
What is the slope of the line in this graph?
y 10
9
18
17
6
4
3
12
1
X
4
5
6
7
8
9
10
Answer : 5/7 for sure is the answer
00:00 The product of 64 and 13 can be rewritten as the sum of two products. Which expression is equal to 64 x 13? A. (60 x 13) + (60 x 4) B. (10 x 60) + (4 x 3) O C. (60 x 13) + (4 x 13) O D. (60 x 1) + (60 x 4)
Answer:
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C
Step-by-step explanation:
The product of two numbers can be put in the form of the sum of two products by using this rule, m × n = (a × n) + (b × n), where m = a + b
Let us solve the question using this rule
∵ We need to put 64 × 13 as the sum of two products
→ Let m = 64 and n = 13
∵ m = 64 and n = 13
∵ 64 = 60 + 4
∴ a = 60 and b = 4
→ By using the rule above
∵ m × n = (a × n) + (b × n)
∵ a = 60, b = 4, and n = 13
∴ 64 × 13 = (60 × 13) + (4 × 13)
∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)
I NEED HELP! Please.
Answer:
z = 12
Step-by-step explanation:
Answer:
Step-by-step explanation:
4z - 4 = 3z + 8
z = 12
4. To make te cups of hot chocolate, 4 tablespoons of cocoa mix
must be used. If a snack bar wants to make 36 cups of hot chocolate,
how much mix will they need?
Answer:
144
Step-by-step explanation:
You will multiply 4 tablespoons by the number of cups, that is how you get your answer. ; )
1. A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,
the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats
per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's
bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)".
a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?
10 minutes? 13 minutes?
Complete question :
A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,
the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats
per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's
bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t.
a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?
10 minutes? 13 minutes?
Answer:
76.384 ;
68.389 ;
65.369;
62.749
Step-by-step explanation:
Given function:
r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)
The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t
a. What is the heart rate of this patient
5 minutes after the drug was administered?
t = 5 ; quantity of drug on patient's body ;
Q(5) = 250(0.8)^5 = 81.92
Q = 81.92
Heart rate (r)
r(81.92) = 60+ 0.2(81.92) = 76.384
t = 8 minutes?
Q(8) = 250(0.8)^8 = 41.94304
Q = 41.94304
Heart rate (r)
r(41.94304) = 60+ 0.2(41.94304) = 68.389
t = 10 minutes
Q(10) = 250(0.8)^10 = 26.8435456
Q = 26.8435456
Heart rate (r)
r(26.8435456) = 60+ 0.2(26.8435456) = 65.369
t = 13 minutes
Q(13) = 250(0.8)^13 = 13.7438953472
Q = 13.7438953472
Heart rate (r)
r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749
Justin played video games for the following amount of time this past week 42 mins, 35 mins, 28 mins, 55 mins, and 57 mins what was the median amount of time justin played video games this past week
Answer:
42 minutes
Step-by-step explanation:
Put all numbers in order then cross out a number from each side until you reach the middle.
28, 35, 42, 55, 57
/ 35, 42, 55 /
/ / 42 / /
Answer:
3 hours and 37 minutes
Step-by-step explanation:
42+35+28+55+57=217
217/60=3.61666.....
217-60-60-60=37
A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel).
Find P(S-name U Boy).
Answer: P(S-name U Boy) = [tex]\dfrac58[/tex]
Step-by-step explanation:
Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)
To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.
n(S-name U Boy) = 5 {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}
Now, P(S-name U Boy) = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]
[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]
Hence, P(S-name U Boy) = [tex]\dfrac58[/tex]
what is the slope and the y-intercept for the equation y = -3 + 6x?
Answer:
slope-6
y-intercept-(0,-3)
Step-by-step explanation:
2. Melissa estimated that she would read 250 pages
last week. She read 290 pages. What is the
percent error of Melissa's estimate? Round to
the nearest whole percent.
I will give brainliest!!!
Answer:
Is it 11.6%?
Step-by-step explanation:
I divided 290/250
where can I find about slopes in homework 5 unit 3
Answer:
idk
Step-by-step explanation: sorry im in unit 6 in science im working on rn
baiiii
Witch expression converts 100 inches per minute to feet per minute
Jake solved an equation, as shown
1. 1/3x + 7 = 15
2. 1/3x + 7 - 7 = 15
3. 1/3x = 15
4. 3 • 1/3x = 3 • 15
5. x = 45
Which statement is true?
Jake made a mistake in step two
Jake made a mistake in step four
Jake made a mistake in step five
Jake solved the equation correctly
Answer:
mistake in step 2 forgot to subtract from end
Step-by-step explanation:
An equation is formed when two equal expressions. The value of x is 24 and Jake made a mistake in step 2. The correct option is A.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation 1/3x + 7 = 15 can be solved as shown below.
Step 1.) 1/3x + 7 = 15
Step 2.) Subtract 7 from both the sides of the equation,
1/3x + 7 - 7 = 15 - 7
Step 3.) 1/3x = 8
Step 4.) Multiply both the sides of the equation by 3,
3 • 1/3x = 3 • 8
Step 5.) x = 24
Hence, the value of x is 24. And Jake made a mistake in step 2.
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The weighted voting systems for the voters A, B, C, ... are given in the form q: w1, w2, w3, w4, ..., wn . The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {76: 52, 39, 31, 25, 9}
Answer:
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
Step-by-step explanation:
using the Banzhaf power index for each voter
{76: 52, 39, 31, 25, 9}
Voter A = 52
Voter B = 39
Voter C = 31
Voter D = 25
Voter E = 9
lets calculate the Banzhaf power index for Voters A to C
A B = 52 + 39 ≥ 76
B C = 39 + 31 ≤ 76
A C = 52 + 31 ≥ 76
A B C = 52 + 39 + 31 ≥ 76
Lets consider critical
A B : A is critical because without A the sum < 76
B C : B is not critical because without B the sum is still < 76
A C : C is critical because without C the sum < 76
A B C : A is critical as B + C < 76
B is not critical as A + C ≥ 76
C is not critical as A + B ≥ 76
Number of times critical : For A = 3, For B = 0 , For C = 1
Banzhaf power index for each voter
Voter A = 3/4 = 0.75
Voter B = 0/4 = impossible
Voter C = 1/4 = 0.25
(iv) -3/-11 + 5/9 step explanation
Answer:
82/99Step-by-step explanation:
-3/-11 + 5/9 =Two negatives cancel
3/11 + 5/9 =LCM of 9 and 11 is 99, bringing into common denominator of 99
3*9/11*9 + 5*11/9*11 =27/99 + 55/99 = 82/99