Answer:
discriminant: 11solutions: -6, +5Step-by-step explanation:
Comparing your equation to the standard form, we can find the values necessary to compute the discriminant:
x^2 +x -30 = 0
ax^2 +bx +c = 0
So, we have ... a = 1, b = 1, c = -30
The discriminant is defined as ...
d = √(b² -4ac) = √(1² -4(1)(-30)) = √121
d = 11
The solutions are ...
x = (-b ± d)/(2a) = (-1 ±11)/2
x = {-6, +5}
Most U.S. households spend about 5% of their income on entertainment. Which of the following are equivalent to 5%? Choose all equivalent expressions.
A. 120
B. 15
C. 12
D. 0.05
E. 0.005
Answer:
1/20 and 0.05 :)
Step-by-step explanation:
400 times 7.50, step by step explanation
Answer:
3000
Step-by-step explanation:
Just mulitiply 400 by 750 and you get 300000
then you put back the decimal place
3000.00
so it is 3000
What’s the answers
Answer:
Look below
Step-by-step explanation:
Since the opposite sides are congruent then the figure is a parallelogram.
plzzzzzzzzzzzzzzzz Help Marshmello i wasn't born yesterday.
Answer:
82.45
Step-by-step explanation:
The price of the purse is 75.99 and tax is 8.5%
Tax = price time tax rate
tax = 75.99*.085
tax =6.45915
Rounding to the nearest cent
tax = 6.46
Add this to the price of the purse
total cost = 75.99+6.46
82.45
Which is correct ? ^^^^
Answer:
c
Step-by-step explanation:
C because your looking for y*48 which is 48y. It is c because (y*40)+(y*8) gives you 40y+8y which equals 48y.
Answer:
C.
Step-by-step explanation:
(y•40)+(y•8)
40y+8y
48y
48•y
calculate are of triangle
Answer:
A = 1/2 b*h
b = 6
h = 6
A = 1/2*36
A = 18 cm^2
The answer is 18 cm^2.
Hope this helps
Explain how you could use paperfolding to divide a line segment into four segments of equal length
The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store sells plastic plates in packages of fteen for ve dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?
Answer:
7 packs for $40.60
Step-by-step explanation:
Answer:why are you trolling ppls answers? Don't you have better things to do?
Step-by-step explanation:
y+1 y+8 y+2 y+7
----- + ----- = ----- + -----
y+2 y+9 y+3 y+8
find y
plssssss help this is fraction
[tex]\dfrac{y+1}{y+2}+\dfrac{y+8}{y+9}=\dfrac{y+2}{y+3}+\dfrac{y+7}{y+8}[/tex]
Write all fractions in terms of a common denominator:
[tex]\dfrac{y+1}{y+2}=\dfrac{(y+1)(y+9)(y+3)(y+8)}{(y+2)(y+9)(y+3)(y+8)}[/tex]
[tex]\dfrac{y+8}{y+9}=\dfrac{(y+8)^2(y+2)(y+3)}{(y+2)(y+9)(y+3)(y+8)}[/tex]
[tex]\dfrac{y+2}{y+3}=\dfrac{(y+2)^2(y+9)(y+8)}{(y+2)(y+9)(y+3)(y+8)}[/tex]
[tex]\dfrac{y+7}{y+8}=\dfrac{(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}[/tex]
Then move all fractions to one side and simplify the numerator:
[tex]\dfrac{(y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)}{(y+2)(y+9)(y+3)(y+8)}=0[/tex]
The numerator dictates when the fraction reduces to 0. The denominator can never be 0, so we know that y cannot take any of the values -2, -9, -3, nor -8.
So the equation reduces to
[tex](y+1)(y+9)(y+3)(y+8)+(y+8)^2(y+2)(y+3)-(y+2)^2(y+9)(y+8)-(y+7)(y+2)(y+9)(y+3)=0[/tex]
Expand the left side; you would end up with
[tex]-6(2y+11)=0[/tex]
[tex]2y+11=0[/tex]
[tex]2y=-11[/tex]
[tex]\implies\boxed{y=-\dfrac{11}2}[/tex]
Determine if the function f is an exponential function. If so, identify the base. If not, why not? f(x) = 3^x + 1
Answer:
3
Step-by-step explanation:
f(x) has the variable in the exponent, so is an exponential function.
The base is 3.
__
The base is what is being raised to the power of x.
Solve and type in a different form by using the given theorems of logarithms.
log10 Mk =
Answer: log1= 1
not sure about Mk
Answer:
k*log_10M
Step-by-step explanation:
take the k and put it in front of the equation and it cannot be further simplified.
Please answer number 1 I give brainliest thank you!
Answer:
Step-by-step explanation:
79+80+92+92+81+100+88+98+71+100+91+90
=1,062/12 = 88.5
Answer:
Option C
Step-by-step explanation:
Add all grades together:
79 + 80 + 92 + 92 + 81 + 100 + 88 + 98 + 71 + 100 + 91 + 90 = 1062
Divide the total by the number of grades in the set:
1062/12 = 88.5
The average of the grades is 88.5%, therefore Option C should be the correct answer.
About 24% of flights departing from New York’s John F. Kennedy International Airport were delayed in 2009. Assuming that the chance of a flight being delayed has stayed constant at 24%, we are interested in finding the probability of 10 out of the next 100 departing flights being delayed. Noting that if one flight is delayed, the next flight is more likely to be delayed, which of the following statements is correct? Group of answer choices
Answer:
Step-by-step explanation:
The question is incomplete. The missing part is:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability. (B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability. (C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
Solution:
In binomial probability, the assumption is that there is only one outcome for each trial. This is because the probability of success or failure is constant. Each trial is also independent of the other trial. This means that the probability of event A happening does not depend on the outcome of event B.
In the given scenario, the probability of a flight being delayed depends on the probability of the previous flight being delayed. It means that the outcomes are not independent. In geometric probability, a trial is repeated until success is achieved. The outcomes are also independent. Therefore, the correct option is
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
The statement that is correct would be:
C). We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another.
Binomial probabilityIn the case of binomial probability, it is assumed that the outcome occurring for every trial would remain 1 only because there is consistency in terms of success or defeat.
This implies that the outcome of one will not impact the other's result.
Since the third statement shows that there is no possibility of estimating the probability by employing the method of binomial distribution as one flight's taking off or delay will not impact the other and they remain independent.
Thus, option C is the correct answer.
Learn more about "Probability" here:
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The options are missing in the question. They are provided as follows:
(A) We can use the geometric distribution with n = 100, k = 10, and p = 0.24 to calculate this probability.
(B) We can use the binomial distribution with n = 10, k = 100, and p = 0.24 to calculate this probability.
(C) We cannot calculate this probability using the binomial distribution since whether or not one flight is delayed is not independent of another. (D) We can use the binomial distribution with n = 100, k = 10, and p = 0.24 to calculate this probability
A man loses 20 percent by selling an article for 11. What was the cost price of the article
Answer:
11.2
Step-by-step explanation:
Because
x-20%=11
x-0.2=11
x=11.2
4. Would a 51-foot ladder be long enough to climb a 50-foot wall? Sketch a graph and find your answer using a trigonometric ratio.
Answer:
It is
Step-by-step explanation:
Using Pythagoras 51^2 = 50^2 + b^2
b=10.0499
What’s the correct answer for this?
Answer:
Option 4.
Step-by-step explanation:
The information is that the points G and H are the midpoints of ED and EF.
For example G will be (5 + (-2))/ 2 , (4 - 0) / 2 which is (1.5, 2).
If we calculate H it is (6.5, -3).
The answer is option 4.
What is Trigonometry
hey!!!
Here's your answer;
The word trigonometry is derived from two Greek words trigon and metron. Trigono means triangle and metron means measurement. Therefore in literal terms trigonometry is the measurement of the angles of a triangle. The application of trigonometry is very vast.It is used in measuring eight and distance, surveys,Map making, astronomy, engineering etc.
The longest side,which is the opposite side of right angle is the hypotenuse.There are two other side's,the opposite and the adjacent.The naming of these sides depends upon which angle is involved.The opposite is the side opposite the angle involved and it is called the perpendicular.
The adjacent is the side next to the angle involved(but not the hypotenuse) and it is called base.
Hope it helps.......Rachel is making nachos for a party the recipe calls for 2/3 cup of cheese for each plate of nachos how many full plate of nachos can Rachel make with 5 cups of cheese how many more cups of cheese would Rachel need to make 9 plates of nachos
Answer:
7 plates1 cupStep-by-step explanation:
If we let c and p represent the cups of cheese and plates of nachos, we have ...
c = 2/3p . . . . . each plate of nachos requires 2/3 cups of cheese
Solving for p, we find ...
(3/2)c = p . . . . . multiply by 3/2
Then for 5 cups of cheese, we have ...
(3/2)(5) = p = 15/2 = 7 1/2 . . . . plates of nachos
5 cups of cheese will make 7 full plates of nachos.
__
For 9 plates of nachos, we need ...
c = 2/3(9) = 6 . . . . . . cups of cheese
Since we have 5 cups of cheese, we need 1 more cup of cheese to make 9 plates of nachos.
Which addition does the model below represent? A number line going from negative 5 to positive 5. Negative 1 to positive 3 is highlighted, and 0 to positive 3 is highlighted. 3 + (negative 1) 3 + 4 3 + (negative 4) 3 + 1
Answer:
I think it's 3+(-1) sorry if it's wong.
Step-by-step explanation:
Answer:
A or C
Step-by-step explanation:
x and y are supplementary angles. y measures 108
What is the measure of x?
Answer:
126
Step-by-step explanation:
this is because you have 3 angles so its a triangle you have 360 degrees so 360 - 108 = 252 you need to divide it by 2 as there are 3 angles so you get 126 i hope it helps
A study showed that 14 of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requirements for financial records and fraud protection. Assuming that these are a random sample of all publicly traded companies, construct a 95% confidence interval for the overall noncompliance proportion. (Round your answers to 4 decimal places.)
Answer:
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 180, \pi = \frac{14}{180} = 0.0778[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 + 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.1169[/tex]
The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).
Write the number 2.4 in the form a/b using integers
Answer:
[tex]2\frac{4}{10}=\frac{24}{10}=\frac{12}{5}[/tex]
Step-by-step explanation:
Here we have a number in the ones place, 2, and a number in the tenths place, 4.
Any number in front of the decimal becomes the whole number in front of the mixed number fractionThe numerator will be any number after the decimalThe denominator will be the value of the place the number after the decimal is inHere our whole number is 2, the numerator is 4, and it is in the tenths place, so our denominator will be 10
Our fraction becomes [tex]2\frac{4}{10}[/tex] which then turns into the improper fraction [tex]\frac{24}{10}[/tex] and then simplifying if needed becomes [tex]\frac{12}{5}[/tex] after dividing the fraction by 2
What is the length of arc AB? 6π cm 12π cm 18π cm 36π cm
Answer:
6π cm
Attached is the missing image
Step-by-step explanation:
The circumference of a circle can be expressed as;
C = 2πr
The length of an arc with angle ∅ (in radian) can be expressed as;
Arc Length = radius × radian angle
L = r∅
Given; from the attached image
Radius r = 18 cm
Radian angle ∅ = π/3 radians
Substituting the values;
Arc length L = 18cm × π/3 = 18/3 π cm
Arc length L = 6π cm
Answer:
its A
Step-by-step explanation:
6 CM
What is the value of x?
Answer:
5.6
Step-by-step explanation:
We want to find the value of x, which is part of the segment that includes the length 10.
We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).
Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:
ab = cd
10 * x = 7 * 8
10x = 56
x = 56/10 = 5.6
The answer is 5.6.
Each diagonal has two parts (a, b, c, and d).
The formula is ab = cd
We have the values:
a = 10
b = x
c = 8
d = 7
Put these in the formula:
10x = (8)(7)
Solve for x.
10x = (8)(7)
10x = 56
10x/10 = 56/10
x = 5.6
Therefore, the answer is x = 5.6
Best of Luck!
In ΔGHI, h = 760 inches, ∠G=43° and ∠H=26°. Find the length of i, to the nearest inch.
Answer:
1619
Step-by-step explanation:
I = 180 - 43 - 26 = 111
using sine rule
[tex]\frac{i}{sin 111} = \frac{760}{sin 26}[/tex]
i = 1618.5 = 1619
Answer:
Step-by-step explanation:
un cono mide 3 pulgadas de diámetro. a este cono le caben 12 pulgadas cúbicas de agua. redondeada a la pulgada más cercana. ¿ cuál es la altura del cono?
What is the number of possible permutations of 6 objects taken 3 at a time?
Answer:
120
Step-by-step explanation:
The formula for permutations is n!/(n-r)!.
6=n and 3=r, and if you plug those numbers in you would get 120
Which measurement is most accurate to describe the weight of an apple
Answer: (BRAINLIEST PLEASE)
120 g.
Step-by-step explanation:
Answer:
1/4 of a pound
Step-by-step explanation:
Find the sum. Write your answer in simplest form. 1 1/2 + 2 3/10
Answer:
[tex] = 3 \frac{4}{5} \\ [/tex]
Step-by-step explanation:
[tex] 1\frac{1}{2} + 2 \frac{3}{10} \\ \frac{3}{2} + \frac{23}{10} \\ \frac{15 + 23}{10} \\ = \frac{38}{10} \\ = 3 \frac{8}{10 } \\ = 3 \frac{4}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
find the term to term rules for the following sequences 28, 25 ,22, 19, 16
Answer:
-3n+31
Step-by-step explanation:
ok
The nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
What is Sequence?Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
The given sequence is 28, 25 ,22, 19, 16
Twenty eight comma twenty five comma twenty two comma nineteen comma sixteen.
The sequence is an arithmetic sequence as there is a common difference between consecutive terms.
The first term is a=28
Common difference =25-28=-3
aₙ=28+(n-1)(-3)
aₙ=28-(n-1)(3)
aₙ=28-3n+3
aₙ=31-3n
Hence the nth term of the sequence 28, 25 ,22, 19, 16 is aₙ=31-3n.
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