Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65
helppppppppppppppppppppppppppppp
Answer:
3) Not equivalent
4) Equivalent multiply by 2
5) Equivalent multiply by 2
What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?
Answer:
see bottom
Step-by-step explanation:
divide through by 4
x2 - 2x - 3 = 0
x2 - 3x + x - 3 = 0
(x2 - 3x) + (x - 3) = 0
x(x - 3) + 1(x - 3) = 0
(x + 1) (x - 3) = 0
x + 1 = 0 and x - 3 = 0
x = -1 and x = 3
What does n equal?
EASY
Answer:
n=8/11
Step-by-step explanation:
Answer:
C) n=8/11
Step-by-step explanation:
3/4n=6/11
n=6/11÷3/4
invert and multiply
n=6/11x4/3
n=24/33
n=8/11
The length of a rectangle is 3 inches more than three times it's width. Write an equation relating the length, “, of the rectangle to its width, w.
I really need help!
Mercury is 3.6 x 10^6 miles from the sun. Pluto is 3.6 x 10^9 miles from the sun. how many times farther from the sun is pluto than mercury? Answer written in scientific notation.
Thank you!
Answer:
[tex]3.6 * 10^{3} \\\\[/tex]
Step-by-step explanation:
Find the measure of 44.
s
24
158°
ts
64 = [?]
Answer:
∠4 = 22
Step-by-step explanation:
Hello There!
The angles shown are consecutive interior angles
If you didn't know consecutive interior angles are supplementary angles meaning that the sum of the two angles is 180
So we can find the missing angle by subtracting the given angle (158 in this case) from 180
180 - 158 = 22
so we can conclude that ∠4 = 22
180.timr3fzgncvdfccfxdfdxxfhk
180-158=22
the measure is 44
A bird is flying 25 mph. How long will it take to travel
120 miles?
Answer: 4 hours and 48 minutes
Step-by-step explanation:
120 miles divided by 25 mph
= 4.8
= 4 hours
0.8 x 60
= 48 mins
0 x 60 = 0
The family is hiking in the mountains at a rate of 6 miles every 3 hours
How long would it take the family to hike 7.5 miles?
(Hint: You will have a decimal or fraction in your final answer!)
Answer:
Time = 3 hours & 45 minutesStep-by-step explanation:
Distance = 6 miles
Time = 3 hours
Speed = Distance ÷ Time
Speed = 6 ÷ 3
Speed = 2 miles/hour
....................................................
Speed = 2 miles/hour
Distance = 7.5 miles
Time = Distance ÷ Speed
Time = 7.5 ÷ 2
Time = 3.75 hours
3.75 hours = 3 hours & 45 minutes
Answer:
Step-by-step explanation:
Time taken to travel 6 miles = 3 hours
Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes
Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours
A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that requires the least amount of material. How much material is required at the minimum
Answer:
[tex]512\ \text{in}^2[/tex]
Step-by-step explanation:
x = Length and width of base
y = Height of box
Volume of the box is [tex]16384\ \text{in}^3[/tex]
[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]
Surface area is given by
[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]
Differentiating with respect to x we get
[tex]s'=2x-\dfrac{131072}{x^3}[/tex]
Equating with 0 we get
[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]
[tex]s''=2+\dfrac{393216}{x^4}[/tex]
at [tex]x=16[/tex]
[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]
So the function is minimum at x = 16
[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]
The material required is
[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]
The minimum amount of material required is [tex]512\ \text{in}^2[/tex].
A coin bank has 17 coins that contains only dimes and quarters. The coins are worth $3.35. How many of each coin are in the bank?
Answer:7 quarters and 6 dimes
Step-by-step explanation:
find the least common factor of 4,5,6 no links or photo or I will report you
Answer:
60
Explanation:
The new superset list is
2, 2, 3, 5
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 5 = 60
In exponential form:
LCM = 22 x 31 x 51 = 60
LCM = 60
Therefore,
LCM(4, 5, 6) = 60
Find f. f ''(x) = −2 + 36x − 12x2, f(0) = 8, f '(0) = 18 f(x) =
Answer
its confusing
Step-by-step explanation:
Which statement is accurate for the right triangle shown below?
Ꮎ
50
1
a
47
Answer:
The statement that is accurate is csc(θ)=1.06
Step-by-step explanation:
Looking at the reference angle in this triangle, we can see that the side that is 47 units is opposite of it, the side that is 50 units is the hypotenuse, and the side that is 17 units is adjacent to it.
Because we know this, we can plug our sides into the formula for cscθ, secθ, and cotθ.
So:
cotθ=adjacent/opposite = 17/47= 0.36
cscθ=hypotenuse/opposite = 50/47=1.06
Now without even looking at the other statements, we can see that the second one is correct as cscθ=hypotenuse/opposite = 50/47=1.06
Therefore, the statement that is accurate is csc(θ)=1.06.
I need help with math
14. Solve 2/3 + 5/6 and put answer in simplest form.
A. 9/6
B.1 1/2
C 2/3
D. 7/6
Answer:
I believe it is C
Step-by-step explanation:
the answer is supposed to be 3/2 but i dont know
The model represents the percentage of family households in the 2012 census. What percent of households were not considered families?
A:75%
B:65%
C:65%
D:35%
also it's not c I got it wrong
find the difference between 3/4 and 5/10
Answer:
The answer would be 1/4. I explained below if you don't get how you get the answer. Good luck!
Step-by-step explanation:
1. Find the LCM of 4 and 10
4, 8, 12, 16, 20
10, 20
The LCM of 4 and 10 is 20.
2. Divide 4 and 10 by 20.
20 ÷ 4 = 5
20 ÷ 10 = 2
3. Multiply the numbers by the answer you got in step 2.
3 x 5 = 15
5 x 2 = 10
4. Put it together.(example:number you got in step 3/20)
15/20
10/20
5. Subtract
15/20 - 10/20 = 5/20
You get the answer of 5/20 or 1/4. I would write 1/4 though.
Please solve this problem
The heights,in inches,of each of the players on a girls' basketball team are shown. 66,65,66,70,66,68,63,60,66,68,63,65 Which box plot correctly represents the data?
Given:
Consider the below figure attached with this question.
The given data set is:
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
To find:
The correct box plot for the given data set.
Solution:
We have,
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
Arrange the data set in ascending order.
60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70
Divide the data set in 4 equal parts by using the parenthesis.
(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)
Minimum value = 60
First quartile: [tex]Q_1=\dfrac{63+65}{2}[/tex]
[tex]Q_1=64[/tex]
Median: [tex]M=\dfrac{66+66}{2}[/tex]
[tex]M=66[/tex]
Third quartile: [tex]Q_3=\dfrac{66+68}{2}[/tex]
[tex]Q_3=67[/tex]
Maximum value = 70
It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.
The box plot in option A is the only box plot that satisfy the above conditions.
Therefore, the correct option is A.
Which story problem COULD not be solved with a expression 3 1/2 x 1/3
Answer:
C
Step-by-step explanation:
Instead of how much she should've had left it should've asked how much did she use.
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.
What is the rate of change for the interval between 0 and 2 for the quadratic equation as f(x) = 2x2 + x – 3 represented in the table?
one-fifth
4
5
10
The rate of change for the interval between 0 and 2 for the quadratic equation f(x) = 2x^2 + x - 3, represented in the table, is 6.
To find the rate of change for the interval between 0 and 2 for the quadratic equation f(x) = 2x^2 + x - 3, we can use the values provided in the table.
First, let's calculate the values of f(x) for x = 0 and x = 2:
For x = 0: f(0) = 2(0)^2 + 0 - 3 = -3
For x = 2: f(2) = 2(2)^2 + 2 - 3 = 9
Now, we can find the rate of change by calculating the difference in the values of f(x) divided by the difference in x for the interval [0, 2]:
Rate of change = (f(2) - f(0)) / (2 - 0)
Substituting the values we found:
Rate of change = (9 - (-3)) / (2 - 0)
= (9 + 3) / 2
= 12 / 2
= 6
for more such questions on quadratic equation
https://brainly.com/question/1214333
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A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted. Suppose that we are interested in forming a 80 percent confidence interval for the proportion of all college students who drove a car the day before the survey was conducted.
Where appropriate, express your answer as a proportion (not a percentage). Round answers to three decimal places.
Answer:
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
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].
A random sample of 80 college students showed that 44 had driven a car during the day before the survey was conducted.
This means that [tex]n = 80, \pi = \frac{44}{80} = 0.55[/tex]
80% confidence level
So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 - 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.479[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.55 + 1.28\sqrt{\frac{0.55*0.45}{80}} = 0.621[/tex]
The 80% confidence interval for the proportion of all college students who drove a car the day before the survey was conducted is (0.479, 0.621).
Factor by removing a common
1. 3a +9ab
Answer:
3a(1+3b)
Step-by-step explanation:
First step is to find the greatest common factor between these two terms, which is 3a. Next you'll need to divide the two terms by that factor, which would give you what would be in the parenthesis, placed the factor in front to signify the multiplication of those terms and voila, you got the fully factored form.
Please help I don’t understand
Answer:
6:5
Step-by-step explanation:
Step 1: we need to match the b portions of each ration, use a lcm calculator, we see that the least common factor of 1 and 2 is 2
Step 2: For our a:b ratio of 3:1 we need to multiply each portion of the ration by 2 divided by 1 is 2
2 times 3:2 times 1 = 6: 2 our new a b ratio
Step 3: for our bc ratio of 2: 5 we need to multiply each portion of the ratio by 2 divided by 2 equals 1
1 times 2: 1 times 5 = 2:5 our new b:c ratio
since the b portions of each ratio match, we just take a: c = 6:5
GOOD LUCK!
O A. negative
O B. parabolic
O C. strong
O D. weak
Which one is it
Answer:
theres no question to match an answer to, bud..
Step-by-step explanation:
Answer:
plz send full question
Step-by-step explanation:
ok
Find the mode of the data set. 5, 3, 8, 4, 3, 2, 3, 4, 12, 12, 15, 4, 6, 3, 9
Answer:
3
Step-by-step explanation:
3 occurs the most in this data set
Answer:
The mode is 3.
Step-by-step explanation:
1.) Put in order from least to
greatest: 7, -11, 4, -2, -5
Answer:
least to greatest is how number appear on a number line. numbers less than 0 or indicated with a negative number. if the number is greater than 0 it's indicated without the negative as the plus is implied.
-11, -5, -2 ,4 , 7
a solid metal ball with a radius of 10 inches is melted and made into smaller spherical metal balls with a radius of 2 inches each. how many smaller spherical balls can be made?
Answer:
5 i think
Step-by-step explanation:
Cyclone cleared leaves from the same number of yards each day for 5 days. Then on day 6, he cleared the leaves from 8 more yards. He cleared 133 yards in all.How many yards did Cyclone clear the first day?
Answer:
20.83 yard
Step-by-step explanation:
Calculate Cubic Yards
Calculate your area
Calculate your volume: Multiply area times the depth to get volume in cubic feet
Calculate your cubic yards: Divide cubic feet by 27 to convert to cubic yards and this is your answer
Where ft2 = square foot, ft3 = cubic foot, yd3 = cubic yard
Total yards = 5[x] + x + 8
Solve
133 = 6x + 8
6x = 125
x = 20.83 yard
Therefore, the Cyclone cleared 20.83 yards on the first day.
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth. (Assume both planets are aligned with the sun and are on the same side of the sun.)
Answer:
t = 42857.14 h
Step-by-step explanation:
Given that,
The speed of space shuttle, v = 28000 km/h
We know that, the distance between the Saturn and the Earth is 1,200,000,000 km.
Let t be the time.
As we know, speed = distance/time
So,
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{1,200,000,000}{28000}\\\\t=42857.14\ h[/tex]
So, the required time is equal to 42857.14 hours.