Answer:
10/3, 39/12, 19/6, 75/24, 109/36
Step-by-step explanation:
Lets simplify:
10/3 = 3 1/3
39/12 = 3 3/12 = 3 1/4
19/6 = 3 1/6
75/24 = 3 3/24 = 3 1/8
109/36 = 3 1/36
What is the area of the parallelogram ?
Answer:
Step-by-step explanation:
[tex]Sin \ 30 = \frac{opposite \ side}{hypotenuse}\\\\\frac{1}{2}=\frac{h}{6}\\\\\frac{1}{2}*6=h\\\\3 = h[/tex]
h = 3 cm
Area of parallelogram = b * h
= 6 * 3
= 18 sq.cm
question 7, HELP!!!
Answer:
A
Step-by-step explanation:
Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.
solve the following quadratic equation m²+4m=32
please help !!
Answer:
all steps are shown and explained
Will give Brainliest Please help me!
Derrick and jimmy start working on the same day. Derrick earns $30 every day. Jimmy earns $1 everyday on the first day. Every day thereafter, Jimmy earns $1 on the 1st day. Everyday thereafter, Jimmy earns $1 moe than he did h previous day. How many days will it take derrick and jimmy to have earned the same amount of money
Answer:
me and you have the same questions
3. What is the length of MA to the nearest tenth?
a) 0.1 cm
b) 3.5 cm
c) 17.0 cm
d) 7.7 cm
7.7cm
the rest is vastly (a and d) off or just enough off (can't be less then 5.2, because that's already the shortest side), to solve this by looking at it
Please help :)
Given AB intersects DE at point C.
Prove:
What is the missing reason in step 5?
•linear pair postulate
•given
•definition of complementary angles
•congruent complements theorem
The missing statement is linear pair postulate of intersecting lines
What are the angles formed by 2 intersecting lines?Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.
Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.
When lines intersect, two angle relationships are formed:
Opposite angles are congruent
Adjacent angles are supplementary
Given data ,
Let the lines be represented as l and m
where AB intersects DE at point C
Now , from the figure ,
∠BCA + ∠ECA = 180° ( angles on the straight line = 180° )
Therefore , ∠BCA + ∠ECA = supplementary and the postulate is linear pair
Hence , ∠BCA is supplementary to ∠ECA
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Identify the slope and y-intercept of each linear function's equation.
-X+ 3 = y
slope = -1; y-intercept at 3
y = 3x - 1
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1: y-intercept at -3
X-3 = y
slope = 3; y-interceptat -1
Answer: You're correct :)
Step-by-step explanation:
In circle J with m HJK 144 and HJ 13 units, find the length of arc HK. Round to the nearest hundredth.
Answer:
≈ 32.66 units
Step-by-step explanation:
The measure of an arc of a circle is just part of the circumference of the circle. So we just basically use the circumference formula, but with a few tweaks:
Measure of Arch HK = (m∠HJK/360)(2[tex]\pi[/tex]r)
= (144/360)(2[tex]\pi[/tex]13)
= (0.4)(26[tex]\pi[/tex])
= (10.4[tex]\pi[/tex])
≈ 32.66 units
The '144/360' is saying that we're only finding part of the circumference, or just the arch of the circle. The 'r' is the radius, which in our case, is HJ (13).
Then for the last part, I multiplied 10.4 by 3.14 (As I was too lazy to use the exact value of [tex]\pi[/tex]) and we get an approximate answer of 32.656 units. After rounding it, we get about 32.66 units (remember, we round up by 1 when the previous digit is 5-9).
Let me know if anything was confusing and I'll be happy to elaborate :)
similar right triangles
Answer:
c
Step-by-step explanation:
w=3 x=15
Graph the first six terms of a sequence where a_1=4 and r=2
Step-by-step explanation: The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).
Log5 =0,699 find log 0,5
Answer:
-0.301
Step-by-step explanation:
Correct Question :-
If log 2 = 0.301 , find log 0.5
Solution :-
We are here given that the value of log 5 is 0.699 . Here the base of log is 10 .
[tex]\rm\implies log_{10}2= 0.301 [/tex]
And we are supposed to find out the value of log 0.5 . We can write it as ,
[tex]\rm\implies log_{10}(0.5) = log _{10}\bigg( \dfrac{5}{10}\bigg)[/tex]
Simplify ,
[tex]\rm\implies log _{10}\bigg( \dfrac{1}{2}\bigg)[/tex]
This can be written as ,
[tex]\rm\implies log_{10} ( 2^{-1})[/tex]
Use property of log ,
[tex]\rm\implies -1 \times log_{10}2 [/tex]
Put the value of log 2 ,
[tex]\rm\implies -1 \times 0.301 =\boxed{\blue{-0.301}} [/tex]
Hence the value of log (0.5) is -0.301 .
*Note -
Here here there was no use of log 5 in the calculation .
Here’s Question three
Answer:
BD = 3 units
Step-by-step explanation:
Since, AD is an angle bisector of ∠BAC,
m∠BAD = m∠CAD = 20°
CD = 3 units
In ΔACD and ΔABD,
m∠BAD = m∠CAD = 20° (Given)
AD ≅ AD [Reflexive property]
Therefore, by H-A property of congruence both the triangles will be congruent.
And by CPCTC,
CD ≅ BD = 3 units
Aubrey is making dumplings. If she uses \tfrac{4}{5} 5 4 cup of dough for each dumpling, how many cups of dough does Aubrey need to make 12 dumplings? Express your answer in simplest form.
Answer:
Number of cups of dough needed = 15 cups
Step-by-step explanation:
Cup of dough needed for each dumpling = 4/5 cup of dough
Total dumplings = 12
how many cups of dough does Aubrey need to make 12 dumplings?
Number of cups of dough needed = Total dumplings / Cup of dough needed for each dumpling
= 12 ÷ 4/5
= 12 × 5/4
= 60/4
= 15
Number of cups of dough needed = 15 cups
Find the circumference and area of a circle with a diameter of 12 cm. (Use the approximation of 3.14 for )
A boardwalk game of chance costs 2 dollars to play. You have a 20% chance of winning 1 dollar, a 25% chance of winning back your entire 2 dollars, and a 35% chance to win 5 dollars. What is the expected value of playing the game if you lose your bet 20% of the time?
Answer:
For a give event with outcomes:
{x₁, x₂, ..., xₙ}
Each with probabilities:
{p₁, p₂, ..., pₙ}
The expected value is:
Ev = x₁*p₁ + ... + xₙ*pₙ
Here we have the outcomes and probabilities:
win $1, with a probability 20%/100% = 0.2
win $2, with a probability 25%/100% = 0.25
win $5, with a probability of 35%/100% = 0.35
do not win, with a probability of 20%/100% = 0.2
Then the expected value of the game is:
Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45
And if we know that the game costs $2, then the expected value is:
Ev = $2.45 - $2 = $0.45
The expected value is $0.45
if -2 is a zero the polynomial 3x^2+2x+k, find the value of k
Answer:
value of K =16
I hope it's helps you
a mountain railway AB is of length 864m and rises at an angle of 120° to the horizontal.
A train is 856m above sea level when it is at A.
calculate the height above sea level of the train when it reaches B.
Answer:
The height above sea level at B is approximately 1,604.25 m
Step-by-step explanation:
The given length of the mountain railway, AB = 864 m
The angle at which the railway rises to the horizontal, θ = 120°
The elevation of the train above sea level at A, h₁ = 856 m
The height above sea level of the train when it reaches B, h₂, is found as follows;
Change in height across the railway, Δh = AB × sin(θ)
∴ Δh = 864 m × sin(120°) ≈ 748.25 m
Δh = h₂ - h₁
h₂ = Δh + h₁
∴ h₂ ≈ 856 m + 748.25 m = 1,604.25 m
The height above sea level of the train when it reaches B ≈ 1,604.25 m
The function Y equals -16 X squared plus velocity X models the height of a football in feet X seconds after a player kicks it. In the equation of the function, velocity is the balls initial velocity in feet per second. The ball hits the ground two seconds after the player kicks it. What is the value of velocity?
Answer:
Step-by-step explanation:
If we are looking for v, the equation is
[tex]y=-16x^2+vt[/tex], assuming that the ball was on the ground before it was kicked. If it takes 2 seconds to hit the ground after being kicked, we replace y with 0 since the height of something on the ground has no height at all. We also replace x with 2, since it takes 2 seconds for the ball to be at the height of 0:
[tex]0=-16(2)^2+v(2)[/tex] and
0 = -64 + 2v and
-2v = -64 so
v = 32 feet per second
Help quick!! I'll mark your answer as the brainliest if it's correct! Identify the function shown in this graph.
A. y= -1/5x + 3
B. y= 5x - 3
C. y= -5x + 3
D, y= -5x - 3
Answer:
C
Step-by-step explanation:
We see that the y-intercept is 3. So it is either A of B.
Plug in the point that is on the line (1, -2), we see that the point works for C.
Identify the slope and y-intercept of the line with the given equation. Use the slope and y-intercept to graph the equation.
1. y= -2x+3
2. y= -4-x+1
3. y= -2
4. 3x+y= -1
5. 2x-3y=0
6. 5x-2y=-4
Answer:
1. -2, 3
2. 4, -1
3. 0, -2
4. -3, -1
5. 2/3, 0
6. 5/2, 4
Step-by-step explanation:
hi i just need a simple explanation for this question!
Answer:
5/3
Step-by-step explanation:
3^5 = 27 ^x
Rewrite 27 and 3^3
3^5 = 3^3^x
We know that a^b^c = a^(b*c)
3^5 = 3^(3x)
The bases are the same so the exponents are the same
5 = 3x
Divide by 3
5/3 =x
Answer:
x = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
[tex]3^{5} = 27^{x}[/tex]
These problems are getting you ready to work with exponential functions,
and ultimately with logarithms. The point here is that with variable exponents (notice the exponent is an x (on the right one) and not a number. Variable exponents can not be solved with regular algebra "rules" you need new ones.
The new ones will be Logs....
For now (until you learn logs) , you have to use some "tricks"
the "trick" in this problem is that you have to realize that 27 = [tex]3^{3}[/tex]...
with "common bases" this problem becomes trivial
[tex]3^{5} =(3^{3} ) ^{x}[/tex]
so now the bases are the same and the equals sign suggests that
3x = 5
thus x = [tex]\frac{5}{3}[/tex]
find the distance between (-1,-5) and (4,3)
Answer:
[tex]\sqrt{89}[/tex] = 9.83
Step-by-step explanation:
[tex]\sqrt{89}[/tex]
[tex]\sqrt{25 + 64} \\\sqrt{5^2 + 8^2}[/tex]
Answer: 89
Step-by-step explanation:
giving brainliest
2 variable table
Answer:
41
136
155
193
Step-by-step explanation:
use the equation 19*d+22=h
19 represents the number of hats knitted per day
22 represents the already made hats
Answer:
hhhhhhhhhhhhhhhhhhu
Step-by-step explanation:
What addition sentence helps you find 5 – 4?
Answer:
4 + x =5
Step-by-step explanation:
By adding a variable you can set up an addition sentence
which proportion would you use to find 8% of 75?
A: 8/100 = 75/n
B: 8/100 = n/75
C: 75/100 = 8/n
D: 75/100 = n/8
Answer:
B: 8/100 = n/75
Step-by-step explanation:
OPTION B is the correct answer.
What is the measure of ∠
A. 60°
B. 6°
C. 42°
D. 49°
In a survey of adults aged 57 through 85 years, it was found that 86.6% of them used at least one prescription medication. Complete parts (a) through (c) below.
a. How many of the 3149 subjects used at least one prescription medication?
(Round to the nearest integer as needed.)
b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
(Round to one decimal place as needed.)
Answer:
a) 272 used at least one prescription medication.
b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
Step-by-step explanation:
Question a:
86.6% out of 3149, so:
0.866*3149 = 2727.
272 used at least one prescription medication.
Question b:
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 3149, \pi = 0.866[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 - 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.856[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.866 + 1.645\sqrt{\frac{0.866*0.134}{3149}} = 0.876[/tex]
For the percentage:
0.856*100% = 85.6%
0.876*100% = 87.6%.
The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).
The number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
How to construct confidence interval for population proportion based on the sample proportion?Suppose that we have:
n = sample size[tex]\hat{p}[/tex] = sample proportion[tex]\alpha[/tex] = level of significance = 1 - confidence interval = 100 - confidence interval in percentageThen, we get:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at specified level of significance and is obtainable from its critical value table(available online or in some books)
For this case, we have:
n = 3149confidence interval is of 90%[tex]\alpha[/tex] = level of significance = 100 - 90% = 10% = 0..10[tex]\hat{p}[/tex] = sample proportion = ratio of 86.6% of n to n (at the least)Part (a):
The number of subjects used at least one prescription medication is:
[tex]\dfrac{3149}{100} \times 86.6 \approx 2727[/tex]
Thus, the sample proportion we get is:
[tex]\hat{p} = \dfrac{2727}{3149} \approx 0.8659[/tex]
For level of significance 0.10, we get: [tex]Z_{\alpha/2} = 1.645[/tex]
Thus, the confidence interval needed is:
[tex]CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\CI \approx 0.8659\pm 1.645 \times \sqrt{\dfrac{0.8659(1-0.8659)}{3149}}\\\\\\CI \approx 0.8659 \pm 0.0099[/tex]
Thus, CI is [0.8659 - 0.0099, 0.8659 + 0.0099] = [0.8560, 0.8758]
Thus, the number of subjects in the study who used at least one prescription medication is 2727 approx. The needed 90% confidence interval is: [0.8560, 0.8758] or in percentage as: 85.6% to 87.58%
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Por favor ayuda es para una practica -2-|-2|-|-3|+3 ------------------- |-1|+|-1|-|-3| por favor ayudaa
Respuesta:
-4;
-1
Explicación paso a paso:
Dado :
-2- | -2 | - | -3 | +3
Los números entre barras verticales son valores absolutos y se tratan como positivos:
-2 - +2 - +3 + 3 = - 2-2-3 + 3 = - 4
| -1 | + | -1 | - | -3 |
Los números entre barras verticales son valores absolutos y se tratan como positivos
1 + 1 - + 3 = 1 + 1-3 = - 1
When Adam got a new locker at the gym, he had to choose a password. For this locker, a password consists of
4 non-repeated letters from A - Z. How many different passwords are there to choose from?
Given:
Adam's locker has a password that consists of 4 non-repeated letters from A - Z.
To find:
The number of different passwords.
Solution:
Total number of letters from A - Z is 26.
So, the number of selecting a letter for first place is 26.
The passwords consists non-repeated letters. So, the remaining numbers is [tex]26-1=25[/tex].
The number of selecting a letter for second place is 25.
Similarly,
The number of selecting a letter for third place is 24.
The number of selecting a letter for fourth place is 23.
The total number of possible different passwords is:
[tex]26\times 25\times 24\times 23=358800[/tex]
Therefore, the total number of different passwords is 358800.
1) 18,27 – 9,756 =
2) 6 – 2,407 =
3) 18 – 5,432 =
4) 10 – 7,602 =
5) 13,013 – 12,5 =
6) 972,5 – 247,451 =
7) 83,12 – 90,2 + 12,3 =
8) 46,75 – 60,13 + 32,50 =
9) 254,0187 – 29,34682 =
10)1.015,568 – 123,712 =
no entiendo me ayudan
Answer:
1) -7929
2) -2401
3)-5414
4) -7592
5) 12888
6)-237726
7) 7287
8)-4588
9)-394495
10) 891856