Answers
Answer:
x=40°
Step-by-step explanation:
Since the 2 sides of the triangle are equal, the angles are also equal. 180-110=70 so to find the angle measurement of x we have 180-70-70=40 x is 40°
Related Questions
find the second term in the sequence b(1)=16 b(n)=b(n-1)+1
Answers
Answer:17
Step-by-step explanation:
b(1)=16
b(n)=b(n-1)+1
b(2)=16(2-1)+1
b(2)=16(1)+1
b(2)=16+1
b(2)=17
Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of steroid and will yield either a positive or negative result. Given that the athlete has taken this steroid, the probability of a positive test result is 0.995. Given that the athlete has not taken this steroid, the probability of a negative test result is 0.992. Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
Answers
Answer:
93.25% probability that they have taken this steroid
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test
Event B: Taking the steroid.
Suppose the probability of an athlete taking a certain illegal steroid is 10%.
This means that [tex]P(B) = 0.1[/tex]
Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.
This means that [tex]P(A|B) = 0.995[/tex]
Positive test:
99.5% of 10%(If the athlete has taken).
100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)
Then
[tex]P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067[/tex]
Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.1*0.995}{0.1067} = 0.9325[/tex]
93.25% probability that they have taken this steroid
Write the equation of the circle graphed below
Answers
Answer: (x-1)² + (y-2)² = 6.25
Step-by-step explanation:
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. The center of this circle is (1,2) and the radius is 2.5, so the equation of this circle would be (x-1)² + (y-2)² = 6.25
Answer:
(x-1)² + (y-2)² = 6.25
Step-by-step explanation:
What’s the correct answer for this?
Answers
Answer:
perpendicular linesssssssss
The answer is B. perpendicular lines. This is because only perpendicular lines can form 4 congruent angles when they intersect (all 4 angles will be 90 degrees).
Which equation is a linear function?
y = [tex]x^{2}[/tex] + 7
, y = [tex]\frac{2}{x}[/tex] + 3
, y + [tex]x^{2}[/tex] - 1
, y = [tex]\frac{x}{2}[/tex] - 5
Answers
Which is a good example of a shield volcano?
A. Mauna Loa
B. Mount Saint Helens
C. Mount Vesuvius
D. Kilimanjaro
Answers
Answer:
a. Manua Loa
Step-by-step explanation:
brainliest really needed!!
Answer:
A is your answer
Step-by-step explanation:
Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.
Answers
Answer:
$19.24
Step-by-step explanation:
Take 14.25 times 1.35.
The markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.
What is the markup rate?The markup rate is computed by dividing a unit's gross profit (its sales price less its cost to create or buy for resale) by its cost.
Barnes and Noble buy a book for $14.25. They mark up the price of the book by 35%.
As per the question, we have
cost = $14.25
markup rate = 35% = 0.35
Let's x represent markup for the book,
markup rate = markup/sale price × 100%
35% = x / $14.25
0.35 = x / $14.25
x = $14.25 × 0.35
Apply the multiplication operation, and we get
x = 4.9875
So sale price = markup + cost
So sale price = $4.9875 + $14.25
So sale price = $19.237
Thus, the markup rate will be 35% when the cost of the book is $14.25 and sells for $19.237.
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How do I type in exponents
Answers
Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
Suppose we want to explore if there is significant evidence of difference among Category A, B, and C in the proportion of Level 1 for certain characteristic.
A B C Total
Level 1 50 90 225 365
Level 2 150 210 275 635
Total 200 300 500 1000
At significant level 0.05, test the equality of proportion of Level 1 for category A, B and C. If needed, perform the Marascuilo procedure for pairwise comparisons. Show your work.
Answers
Answer:
Kindly check explanation (since we need to show how the work is done) but what can be noticed is that there is a proportional difference between the 3.
Step-by-step explanation:
Know that Vo :ht = 1//3, where t = 1,2,3.
(1). The expected values for levels A, B and C = 0.33 which is a total of 100%.
The observed values = 50, 90, and 225 with a total of 365.
The expected values = 121.67 for the three categories which gives us a total of 365.
For the three categories, the differences between the observed values and the expected values are -71.67, -31.67 and 103.33.
(2). Thus, the value for the test statistics is = (observed values - expected values)^2/ expected values.
So, for the three categories (A,B and C) we have; 42.217, 8.244 and 87.754. The total = 138.215.
Therefore the critical value = 5.991.
(3). We have to reject the null hypothesis Because 138.215 is greater than 5.991.
(4). For Marascuilo, we have;
Proportion
Group 1 - group 2 = 0.05(absolute difference) and 0.099050609( critical range) which is insignificant.
Group 1 - group 3 = 0.2( absolute difference) and 0.092643256(critical range) which is significant.
Group 2 - group 3 = 0.15(absolute difference) and 0.084615602(critical range) which is also significant.
Over what interval is the graph of f(x) = -(x + 8)2 – 1 decreasing?
0 (-8, 0)
O (8, 0)
(- 0,8)
(-∞, -8)
Answers
Answer:
(-8, infinity)
Step-by-step explanation:
it's the first option on edge
The solution is, : The given function f(x) is decreasing on the interval :
(-8, +∞).
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
The function is given to be : f(x) = (x + 8)² - 1
To find the interval of decreasing, first find the critical points of the function f(x)
f(x) = (x + 8)² - 1
⇒ f'(x) = 2(x + 8)
Critical Point : x = -8
Now, Intervals are : (-∞ , -8) and (-8, +∞)
For the interval : (-∞ , -8)
f'(x) > 0 ⇒ f(x) is increasing on this interval.
For the interval : (-8, +∞)
f'(x) < 0 ⇒ f(x) is decreasing on this interval.
Hence, The given function f(x) is decreasing on the interval : (-8, +∞).
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Shira packs 170 lemon bars in boxes for the bake sale. Each box holds 8 lemon bars. She takes home the lemon bars tha are leg over after she has filled as many boxes as possible. Ahora use partial quotients to find how many boxes of lemon bars she can fill to sell at the bake sale. She finds only two partial quotients when she divides. Use the numbers in the box to answer the questions
1 2 7 8 20 21 23 27 29
Answers
Question:
1. How many full boxes of lemon bars can Shira fill?
2. How many delicious lemon bars will she be taking home?
Answer:
1. Number of filled box = 21
2. Number of take home = 2
Step-by-step explanation:
Given
Number of lemon bars = 170
Each bar contains 8 lemon bars
Required
(1) & (2)
To calculate the number of boxes Shira can fill, we simply divide the total number of bars by constituents of each bar .
i.e.
Number of filled box = 170/8
Number of filled box = 21.25
But here, we only need the quotient of the division because it represents the filled boxed.
So,
Number of filled box = 21
Calculating the number of take home.
We'll follow the same steps as (1) above but here, we only need the remainder of the division.
When 170 is divided by 8, the remainder is 2.
So, number of boxes she'll take home is 2.
See calculation below
Number of take home = 170 % 8
Number of take home = 2
100 POINTS
PLEASE PROVIDE STEPS. FOR BOTH
FIND THE INTEGRALS
Answers
Answer:
8. -⅓ cos³x + C
9. sec x + eˣ + C
Step-by-step explanation:
8. ∫ sin x cos²x dx
If u = cos x, then du = -sin x dx.
∫ -u² du
-⅓ u³ + C
-⅓ cos³x + C
9. ∫ (sec x tan x + eˣ) dx
∫ sec x tan x dx + ∫ eˣ dx
These are both standard integrals:
sec x + eˣ + C
Question 8:
∫sinxcos²xdx
∫-u²du (let u = cos(x))
-∫u²du
-u(^2+1)/2+1
-cos^(2+1)(x)/2+1
-1/3cos³(x)
-1/3cos³(x) + C
Question 9:
∫(secxtanx + eˣ)dx
∫sec(x)tan(x)dx + ∫eˣdx (apply sum rule)
sec(x) + eˣ (sec(x)tan(x)dx = sec(x) and eˣdx = eˣ)
sec(x) + eˣ + C
Best of Luck!
Jack threw 20 darts at a dartboard. 30% of his darts hit the bullseye. How many of his darts DID NOT hit the bullseye?
Answers
Answer:
14
Step-by-step explanation:
The number that did hit the bullseye is ...
0.30 × 20 = 6
So, the number that did not is ...
20 -6 = 14
14 of Jack's darts did not hit the bullseye.
Find the value of P(7,2)
Answers
Answer: 42
Step-by-step explanation:Its a permutation problem!
Vocabulary Drag the words to show how theoretical probability and experimental probability differ. Each word may be used only once.
Theoretical
Experimental
probability is based on expected or calculated results.
probability is based on the actual recorded results of an
experiment.
Answers
Answer:
Theoretical --- probability is based on expected or calculated results.
Experimental --- probability is based on the actual recorded results of an experiment.
Step-by-step explanation:
Theoretical assumptions are those hypotheses not proven to be real, whose probabilities of materializing depend on the future confirmation of the premises established. Thus, these theories are established based on different experiences and previous situations, or based on data still not scientifically proven.
Instead, the experimental results are those that have already been confirmed based on tests, tests and experiments that affirm or deny the previously established theories.
ead the question and type your response in the box provided. Your response will be saved automatically.
Two expressions are below.
M = 4(2x + 6)
N = 8x + 10
Part A:
Apply the distributive property to write an expression that is equivalent to expression M.
Part B:
Explain whether or not expressions M and N are equivalent for any value of x.
Label your answers to both parts of the problem in the response box.
Answers
Answer:
Part A: 8x + 24
Part B: Expressions M and N are not equivalent for any value of x because if you do 8x + 24 = 8x + 10, the 8x will cancel out from both sides and you are left with 24 = 10, which is not true, and therefore has no solution.
Step-by-step explanation:
For Part A, to apply the Distributive Property, you multiple the 4 with both terms in the parentheses. So, you do 4(2x) + 4(6). This expression is equal to 8x + 24.
Hope this helped! :)
If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.
Answers
Answer:
9
Step-by-step explanation:
The median is the average of the base lengths. Where "b" is the length of the other base, we have ...
36 = (44 +b)/2
b = 72 -44 = 28
We are told this is the same as 2x+10, so we have ...
28 = 2x +10
18 = 2x . . . . . subtract 10
9 = x . . . . . . . divide by 2
The value of x is 9.
The driveway in front of the brown house is 35 feet long and the driveway in front of the red house is 7 yards, 9 feet long. Which house has the long driveway and by how much? *
Brown house driveway; larger by 30 feet
Red house driveway; larger by 7 feet
Brown house driveway; larger by 5 feet
They are both equal.
Answers
Answer:
Brown house driveway; larger by 5 feet
Step-by-step explanation:
Lets convert yds to ft
We know 3 ft = 1yd
3*7 = 21
so 7yds = 21 ft
Add the 9 ft
7yds 9ft = 21+9 = 30 ft
The house with the 35 ft driveway is longer by (35-30) or 5 ft
25 POINTS IF YOU GET THIS ONE RIGHT! VERY HARD
Answers
Answer:1.A 2.C 3.A 4.B
Step-by-step explanation:
1. (answer) a- 257 grams.
2. (answer) c. 1.18 kilometers.
3. (answer) b. 56.
4. (answer) a. 14 7/8 pounds.
In how many ways can a member of a hiring committee select 3 of 12 job applicants for further consideration?
Answers
Answer: 220
Step-by-step explanation:
When we wanto to create a group of K elements for a set of N elements (where the order of the K elements does not matter, so we do not considerate the permutations of the K elements), the number of possible combinations is:
[tex]C = \frac{N!}{(N - K)!*K!}[/tex]
Here N = 12 and K = 3
[tex]C = \frac{12!}{9!*3!} = \frac{12*11*10}{3*2} = 220[/tex]
So there are 220 possible combinations
Answer:
220
Step-by-step explanation:
Omar purchased a used vehicle for $6,500 one year ago. He drove 12,000 miles during the year and kept a record of all his expenses. The variable costs totaled $1,972.50, and the fixed costs totaled $2,476.25. What was the cost per mile for Omar to operate his vehicle last year?
1 point
$0.16
$0.20
$0.37
$2.70
Answers
Answer: $0.16
Step-by-step explanation:
Hi, to answer this question we simply have to divide the variable cost ($1,972.50) by the number of miles driven (the variable; 12,000 miles)
Mathematically speaking:
1,972.50 /12000 = 0.16
The cost per mile for Omar to operate his vehicle last year was $0.16
Feel free to ask for more if needed or if you did not understand something.
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answers
Answer:
a
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Firstly, [tex]x^{-y} = \frac{1}{x^y}[/tex], so in this case, you multiply [tex](6^{-8})^4[/tex], which equals [tex]6^{-32}[/tex]. Then, plug it into [tex]x^{-y} = \frac{1}{x^y}[/tex] and you get
[tex]6^{-32} = \frac{1}{6^{32}}[/tex], so it's [tex]\boxed{A.}[/tex]
Round 299 to the nearest hundred. Enter your answer in the box below.
Answers
Answer:
300
Step-by-step explanation:
hundreds tens ones
2 9 9
We look at the tens
It is 5 or higher so we round up the hundreds place
2 becomes 3
300
Answer:
300
Step-by-step explanation:
its obv 300 because 299 is greater than 249 and if it is less than 249 it is rounded to 200.
You roll two dice. How many ways can you
roll a sum of 8 or a sum of 10?
Answers
Answer:
5 different ways
Step-by-step explanation:
for the 8
2 and 6
3 and 5
4 and 4
for then tens
5 and 5
4 and 6
1a. Find the set of possible and actual zeros according to the rational root theorem using f(x)=3x^3+13x^2+16x+4
1b. Zeros Multiplicity Cross/Turn
|____|_________|_________|
|____|_________|_________|
c. End Behavior:
d. Y-int:
e. Graph.
2. Divide using synthetic Division: x^4-6x^2-2/x-2
3. Diving Using Long Division: 3x^3+5x^2+4x+1/3x+2
4. Using synthetic division and the remainder theorem to find P(c) if P(x)=4x^3+6x^2+4x+3 and c=-1
5. Use synthetic division and the given factor to completely factor each polynomial function and find the zeros: y=x^3+6x^2+3x-10;(x-1)
Factored Form:
Zeros:
Answers
Answer:.....
Step-by-step explanation:
......
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answers
Answer:
A. -4
C. 3
Step-by-step explanation:
x² + x - 12 =0
-12 = 4*(-3) and 4+(-3) =1
(x+4)(x-3)=0
x = - 4, x = 3
Jay earns $8 an hour when he works at his uncle’s store. He earns $9 an hour when he does yard work for his neighbor. Which expression represents the total amount he will earn in a week when he works u hours at his uncle’s store and v hours doing yard work for his neighbor?
Answers
Answer:
8u+9v
Step-by-step explanation:
Answer:
8u+9v
Step-by-step explanation:
What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet
Answers
Answer:
The answer is 10/36 or if you want to simplify, 5/18
Step-by-step explanation:
To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.
23x6= blank+(3 x 6)
Answers
23x^6=()+(3x^6)=
We move all terms to the left:
23x^6-(()+(3x^6))=0
The value of the unknown in the algebraic equation is 120.
What is Algebra?Algebra is the branch of mathematics, that deals with the representation of numbers and values with alphabets and symbols.
An algebraic equation is an equation containing an algebraic term in it.
From the given question,
Let the blank be represented by x,
23 * 6 = x + (3 *6)
Multiply the numbers on the left side of the equation.
138 = x + (3 *6)
Multiply the expression inside bracket.
138 = x + 18
Solve the equation for x.
x = 138 - 18
x = 120
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State if the two vectors are parallel, orthogonal, or neither.
u=18i+8j
v=9i+4j
Answers
Answer:
Parallel, since [tex]\vec u = 2\cdot \vec v[/tex].
Step-by-step explanation:
The relation between both vectors is determined by the use of the dot product, whose expression is:
[tex]\cos \theta = \frac{\vec u \bullet \vec v}{\|\vec u\| \|\vec v\|}[/tex]
Where:
[tex]\cos \theta = 1[/tex] if vectors are parallel to each other and [tex]\cos \theta = 0[/tex] if vectors are orthogonal. Then, norms and dot product are calculated hereafter:
[tex]\|\vec u\| = \sqrt{18^{2}+8^{2}}[/tex]
[tex]\|\vec u\| \approx 19.698[/tex]
[tex]\|\vec v \| = \sqrt{9^{2}+4^{2}}[/tex]
[tex]\|\vec v\| \approx 9.849[/tex]
[tex]\vec u \bullet \vec v = (18)\cdot (9) + (8)\cdot (4)[/tex]
[tex]\vec u \bullet \vec v = 194[/tex]
[tex]\cos \theta = \frac{194}{(19.698)\cdot (9.849)}[/tex]
[tex]\cos \theta = 1[/tex]
The two vectors are parallel to each other, which is also supported by the fact that one vector is multiply of the other one. That is,
[tex]18i + 8j = 2\cdot (9i + 4j)[/tex]
[tex]\vec u = 2\cdot \vec v[/tex]
