Answer:
C
Step-by-step explanation:
I suppose you have learned that for the sides of a triangle to work, it has to be a + b > c, the 4 is the a, the 8 is the b, the 12 is the c.
So: 4 + 8 > 12; however this is not true, they are equal so the triangle wont be a triangle, it would be lines that never connect.
You and your best friend are both on the swim team. You want to beat your friend at the next swim meet so you decide to swim 151515 minutes longer than she does one day at practice. Write an equation for the number of minutes you swim, yyy, when your friend swims xxx number of minutes. Y
Answer:
yyy = xxx + 151515
Step-by-step explanation:
Since you want to swim 151515 minutes longer one day at practice (note this time is actually 105 days), you simply need to swim the same amount of time as your friend, plus the extra time. Hence, your time will be equal to your friends time plus the extra time you plan to swim.
If $y^2= 36$, what is the greatest possible value of $y^3$?
Answer:
216
Step-by-step explanation:
y = ±√36 = ±6
y³ = (±6)³ = ±216
The largest of these values is 216, the greatest possible value of y.
Select a committee of 3 people from your staff of 9. How many different ways can this be accomplished when one person will be the lead, one will be the record keeper, and one will be the researcher
Answer:
504 ways.
Step-by-step explanation:
In this case, order matters. If Amy were lead, Bob were record keeper, and Charles were researcher, that would be different than if Bob were lead, Charles were record keeper, and Amy were researcher. So, we will be using a permutation formula to compute.
The formula is n! / (n - k)!, where n is the total number of people (9), and k is the number you are selecting (3).
9! / (9 - 3)! = 9! / 6! = (9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (6 * 5 * 4 * 3 * 2 * 1) = 9 * 8 * 7 = 72 * 7 = 504 ways.
Hope this helps!
Need Assistance With This
*Please Show Work*
Answer:
a =7.5
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+ b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 10 ^2 = 12.5^2
a^2 + 100 =156.25
Subtract 100 from each side
a^2 = 56.25
Take the square root of each side
sqrt(a^2) = sqrt( 56.25)
a =7.5
What are the solutions to the system of equations graphed below?
Answer:
Its B and D
Step-by-step explanation:
Because thats where the points intersects/meet.
A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the parallelogram?
Answer:
area = 1800 m²
Step-by-step explanation:
area of one triangle = 900 m²
if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram
is twice the area given.
area = 900 * 2
area = 1800 m²
In a study of the progeny of rabbits, Fibonacci (ca. 1170-ca. 1240) encountered the sequence now bearing his name. The sequence is defined recursively as follows.
an + 2 = an + an + 1, where a1 = 1 and a2 = 1.
(a) Write the first 12 terms of the sequence.
(b) Write the first 10 terms of the sequence defined below. (Round your answers to four decimal places.)
bn =
an + 1/
an, n ? 1.
(c) The golden ratio ? can be defined by
limn ? In a study of the progeny of rabbits, Fibonacci (cbn = ?
, where
? = 1 + 1/?. Solve this equation for ?. (Round your answer to four decimal places.)
The question in part c is not clear, nevertheless, part a and part b would be solved.
Answer:
a. The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
b. The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
Step-by-step explanation:
a. Given
an + 2 = an + an + 1
where a1 = 1 and a2 = 1.
a3 = a1 + a2
= 2
a4 = a2 + a3
= 3
a5 = a3 + a4
= 5
a6 = a5 + a4
= 8
a7 = a6 + a5
= 13
a8 = a7 + a6
= 21
a9 = a8 + a7
= 34
a10 = a9 + a8
= 55
a11 = a10 + a9
= 89
a12 = a11 + a10
= 144
The first twelve terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
(b)
Given
bn = an+1/an
b1 = a2/a1
= 1/1 = 1.000
b2 = a3/a2
= 2/1 = 1.000
b3 = a4/a3
= 3/2 = 1.500
b4 = a5/a4
= 5/3 = 1.667
b5 = a6/a5
= 8/5 = 1.600
b6 = a7/a6
= 13/8 = 1.625
b7 = a8/a7
= 21/13 = 1.615
b8 = a9/a8
= 34/21 = 1.619
b9 = a10/a9
= 55/34 = 1.618
b10 = a11/a10
= 89/55 = 1.618
The first ten terms are:
1.000, 1.000, 1.500, 1.667, 1.600, 1.625, 1.615, 1.619, 1.618, 1.618.
From which sphere of earth did this food did this food originate
Answer:
I'm not entirely sure what you are asking, could you comment on this answer the full question so I can edit this question to provide you an answer?
Answer: biosphere
Step-by-step explanation:
I am not sure what picture you are looking at but if it is 3 barbeque chicken legs in one image than this is your answer. The reason being that chickens can only be found on land and the land is considered part of the biosphere because bio = life
i give you brailenst
Answer:
The answer is #3 which is 24%.
Step-by-step explanation:
6 × 100
25
25 into 100 is 4, then 6×4 = 24%
I really hope this helps :)
The sum of three consecutive natural numbers is 555, find the numbers.
Answer:
184, 185, 186
Step-by-step explanation:
If the first number is x, the other numbers are x + 1 and x + 2, therefore we can write:
x + x + 1 + x + 2 = 555
3x + 3 = 555
3x = 552
x = 184 so the other numbers are 185 and 186.
Simplify the expression:
4 + 5u + 8 – 4
Answer:
5u+8
Step-by-step explanation:
Both of the 4's will cancel out with each other.
5u+8. it works actuallly by taking common nunbers and cancelling them. in this case. 4. leaving it with just 5u+8 :)
write and equation to represent the following statement 28 is 12 less thank K. solve for K K =
Answer:
K = 40
Step-by-step explanation:
As they said that 28 is 12 less than K , it means that you've to add them to get the answer. So , 28 + 12 = 40 which is represented by the variable "K"
Hope it helps and pls mark as brainliest : )
Answer:
Equation : 28 = k - 12K = 40Step-by-step explanation:
28 is 12 less than k
Let's create an equation:
[tex]28 = k - 12[/tex]
Now, let's solve:
[tex]28 = k - 12[/tex]
Move variable to L.H.S and change its sign
Similarly, Move constant to R.H.S and change its sign
[tex] - k = - 12 - 28[/tex]
Calculate the difference
[tex] - k = - 40[/tex]
Change the signs on both sides of the equation
[tex]k = 40[/tex]
Hope this helps...
Best regards!!
Segments AC and BD are diameters of circle O. Circle O is shown. Line segments A C and B D are diameters. Angle A O D is 73 degrees. What is the measure of Arc A D B? 107° 146° 253° 287°
Answer:
253°
Step-by-step explanation:
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: 253°
The solution is, the measure of Arc A D B is 253°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
given that AC and BD are diameters of circle O.
AC and BD intersect at point C the centre of the circle.
The central angle of a circle is the angle based at the circle's center. In other words, the vertex of the angle must be at the center of the circle. A central angle is formed by two radii that start at the center and intersect the circle itself.
The central angle whose rays intercept a diameter of the circle has measure 180 deg.
m<AOD = 73 deg
m<DOB = 180 deg
m<ADB = m<AOD +m<DOB = 73 deg + 180 deg = 253 deg
The measure of an arc of a circle is equal to the measure of the central angle that subtends it.
m(arc)AOD = m<AOD = 253 deg
Answer: the measure of Arc A D B is 253°.
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Harry is trying to complete his hill walking scouts badge. He is using a map with a scale of 1 cm : 2 km. To earn the badge he needs to walk 14 km. What is the distance he needs to walk on the map?
Answer:
7 cm
Step-by-step explanation:
14 / 2 = 7 cm
7cm is the distance Harry needs to walk on the map?
What is Distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are.
Given that,
Harry is trying to complete his hill walking scouts badge.
He is using a map with a scale of 1 cm : 2 km.
To earn the badge he needs to walk 14 km.
Let the distance he needs to walk on the map is x.
By given data we write an equation
1/2=x/14
Apply Cross Multiplication
14/2=x
7=x
Hence, 7cm is the distance he needs to walk on the map.
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what is the average when you add 122.99%, 108.46% and 102.65%? I don't know how to add percentages.
Answer:
111.33667
Step-by-step explanation:
You add percentages just like you would any other number.
122.9% + 108.46% + 102.65% = 334.01%
334.01%/3 = 111.33667
Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses 3 cups of chex. He wants to make 12 cups of party mix.
Answer:
36 cups of Chex total.
Step-by-step explanation:
Well, he will obviously be using 12 cups of pretzels, so let's set that aside. For every cup of pretzels, there are 3 cups of chex. So, multiply 3x12. That will give you how much chex you will need.
Five less than the product of 14 and Vanessa's height Use the variable v to represent Vanessa's height.
Answer:
14v - 5
Step-by-step explanation:
The product of 14 and v is 14v. 5 less than that is 14v - 5.
Answer:
7v = 119
Step-by-step explanation:
"An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 4.1 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 260 engines and the mean pressure was 4.2 pounds/square inch. Assume the standard deviation is known to be 0.9. A level of significance of 0.02 will be used. Determine the decision rule. Enter the decision rule."
Answer:
H₀ is accepted, we don´t have evidence to claim valves produces more than 4,1 pounds/square inch
Step-by-step explanation:
Normal Distribution
Population mean μ₀ = 4.1
Population standard deviation σ = 0,9
Sample size n = 260
Sample mean μ = 4,2
Level of significance 0,02 α = 0,02 form z-table we find z score
z(c) = 2,05 (critical value)
Test hypothesis
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ > μ₀
Is a one tail-test ( to the right. Values have a mean over the population mean)
z(s) = ( μ - μ₀ )/ σ /√n
z(s) = 4,2 - 4,1 / 0,9/√260
z(s) = 0,1 *16,1245 / 0,9
z(s) = 1,7916
To compare z(s) and z(c)
z(s) < z(c)
Then z(s) is in the acceptance region, we accept H₀
Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches negative 1 where f of x equals 4 minus x when x is less than negative 1, 5 when x equals negative 1, and x plus 6 when x is greater than negative 1
Answer:
5
Step-by-step explanation:
The limit of f(x) at x=-1 is 5 when approached from the left or right. Since those limits are the same, the limit exists and is ...
[tex]\boxed{\lim\limits_{x\to-1}f(x)=5}[/tex]
A certain medicine is given in an amount proportional to patient’s body weight. Suppose a patient weigh in 116 pounds requires 126 mg of medicine. What is the amount of medicine required by patient way and 174 pounds?
Answer: 189 mg.
Step-by-step explanation:
Let x be the weight of the body( in pounds) and y be the amount of medicine( in mg).
Given: A certain medicine is given in an amount proportional to patient’s body weight.
i.e. [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Let [tex]x_1=116\ \ \ ,\ y_1=126[/tex] , [tex]x_2=174[/tex]
then,
[tex]\dfrac{116}{126}=\dfrac{174}{y_2}[/tex]
[tex]\Rightarrow\ y_2=\dfrac{174\times126}{116}\\\\\Rightarrow\ y_2=189[/tex]
Hence, he amount of medicine required by patient weighing 174 pounds = 189 mg.
17. Convert the following measures of liquid measure. a. 3,450 deciliters to cubic decimeters _______ b. 124.3 hectoliters to deciliters _______ c. 9 liters to cubic centimeters _______ d. 32.5 liters to cubic decimeters _______
Step-by-step explanation:
. 345,000 cm³.
b. 124,300 hl.
c. 9,000 cm³.
d. 32.5 dm³.
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
a. 3,450 deciliters to cubic decimeters:
1 deciliter=100 cubic decimeters
(3,450dl)(\frac{100cm^{3}}{1dl})=345,000cm^{3}(3,450dl)(
1dl
100cm
3
)=345,000cm
3
b. 124.3 hectoliters to deciliters:
1 hectoliter=1,000 deciliters
(124,3hl)(\frac{1,000dl}{1hl})=124,300hl(124,3hl)(
1hl
1,000dl
)=124,300hl
c. 9 liters to cubic centimeters:
1 liter=1,000 cubic centimeters
(9L)(\frac{1,000cm^{3}}{1L})=9,000cm^{3}(9L)(
1L
1,000cm
3
)=9,000cm
3
d. 32.5 liters to cubic decimeters:
1 liter=1 cubic decimeter
32.5L=32.5dm^{3}32.5L=32.5dm
3
your answer follow me plzzz
Answer:
The first one is 345,000 cm³.
The second is 124,300 hl.
the Third is 9,000 cm³.
Anddd the fourth one is 32.5 dm³
:)
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 17 subjects had a mean wake time of 104.0 min. After treatment, the 17 subjects had a mean wake time of 97.5 min and a standard deviation of 21.9 min. Assume that the 17 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to be effective?
Answer:
The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and 108.7599 minutes.
This interval contains the mean wake time before treatment and which does not prove to be effective
Step-by-step explanation:
GIven that :
sample size n = 17
sample mean [tex]\overline x[/tex] = 97.5
standard deviation [tex]\sigma[/tex] = 21.9
At 95% Confidence interval
the level of significance ∝ = 1 - 0.95
the level of significance ∝ = 0.05
[tex]t_{\alpha/2} = 0.025[/tex]
Degree of freedom df = n - 1
Degree of freedom df = 17 - 1
Degree of freedom df = 16
At ∝ = 0.05 and df = 16 , the two tailed critical value from the t-table [tex]t_{\alpha/2 , 16}[/tex] is :2.1199
Therefore; at 95% confidence interval; the mean wake time is:
= [tex]\overline x \pm t_{\alpha/2,df} \dfrac{s}{\sqrt{n}}[/tex]
= [tex]97.5 \pm 2.1199 \times \dfrac{21.9}{\sqrt{17}}[/tex]
= 97.5 ± 11.2599
= (86.2401 , 108.7599)
Therefore; the mean wake time before the treatment was 104.0 min
The 95% confidence interval of mean wake time for a population with treatment is between 86.2401 and 108.7599 minutes.
This interval contains the mean wake time before treatment and which does not prove to be effective
Please tell me if I'm right or wrong! No work needed! Brainliest will be given!
Answer:
The first one is correct
The second one is also correct
The third is also correct
Congrats!
Answer:
1) [tex]\boxed{Option \ B}[/tex]
2) [tex]\boxed{Option \ B}[/tex]
3) [tex]\boxed{Option \ B}[/tex]
You're totally correct, Man! :)
Step-by-step explanation:
Question 1:
[tex](6b^2-4b+3)-(9b^2-3b+6)\\Resolving \ the\ brackets\\6b^2-4b+3-9b^2+3b-6\\Combining \ like \ terms\\6b^2-9b^2-4b+3b+3-6\\-3b^3-b-3[/tex]
Question 2:
[tex](b+6)(b-3)\\Using \ FOIL\\b^2-3b+6b-18\\b^2+3b-18[/tex]
Question 3:
[tex](4x-3)(6x-1)\\Using \ FOIL\\24x^2-4x-18x+3\\24x^2-22x+3[/tex]
Determine the measure of the unknown variables
Answer:
27°Step-by-step explanation:
Let's create an equation:
[tex]5y = 135[/tex]
( Being vertically opposite angles)
Now, let's solve
Divide both sides of the equation by 5
[tex] \frac{5y}{5} = \frac{135}{5} [/tex]
Calculate
[tex] y = 27[/tex]
Hope this helps...
Best regards!!
What is the y intercept of the function f(x)=2•3^x
Answer:
[tex]\boxed{Option \ A}[/tex]
Step-by-step explanation:
[tex]f(x) = 2*3^x[/tex]
y intercept is when x = 0
So, Putting x = 0 in the above function
=> f(0) = [tex]2*3^0[/tex]
=> f(0) = 2*1
=> f(0) = 2
So, y-intercept is (0,2)
Answer:
A
Step-by-step explanation:
f(x) = 2 × 3^x
Plug x as 0 to find y-intercept.
2 × 3⁰
2 × 1
= 2
One leg in a right triangle is 11 m, and the hypotenuse measures 11√2 m. Find the length of the other leg.
Answer:
[tex]\boxed{11m}[/tex]
Step-by-step explanation:
Method #1: 45-45-90 Triangle
You can use the rules for a 45-45-90 triangle. These are:
→ Each 45-45-90 triangle is a right triangle with two additional 45° angles.
→ The triangle will have 2 legs, x, and one hypotenuse, x√2.
Therefore, because the problem gives values for one leg and the hypotenuse, the value for the one leg is equal to the value for the unsolved leg.
Method #2: Pythagorean Theorem
You can use the Pythagorean Theorem to solve for a missing side in a triangle. Please note, however, that the Pythagorean Theorem only works on right triangles.
The Pythagorean Theorem is defined as [tex]a^{2} + b^{2} = c^{2},[/tex] where a and b are both legs of the triangle and c is the hypotenuse.
Therefore, substitute the known value for a, 11, and the known value for c, 11√2. Then, evaluate each value to its power (except for b - it is unsolved) and simplify the equation with basic algebraic methods. Once your equation is down to [tex]b^{2}= ?[/tex], you should take the square root of both sides of the equation to get the value for b.
[tex]11^{2} +b^{2} =(11\sqrt{2} )^{2}\\121 + b^{2} = 242\\b^{2}=121\\b=11[/tex]
What is the solution to the equation below? Round your answer to two decimal places. In x=0.3
Step-by-step explanation:
Since you are given the values there is no need to try another method then replacing x by the values
We can eliminate the negative values since you'll face math errors We have two remaining values 2 and 1.35㏑(2)= 0.69
㏑(1.35) = 0.3
so the right answer is D
The triangles in the diagram are congruent. If mF = 40°, mA = 80°, and mG = 60°, what is mB?
Answer:
40
Step-by-step explanation:
The measure of m∠B in the triangle is 40°.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
Since the triangles are congruent, we know that their corresponding angles are congruent as well.
Therefore, we have:
m∠B = m∠F = 40°.
Note that we also have:
m∠C = m∠A = 80° (by corresponding angles)
m∠H = m∠G = 60° (by corresponding angles)
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find the measure of angle D:
m∠D = 180° - m∠B - m∠C = 180° - 40° - 80° = 60°.
Therefore,
m∠B = 40°.
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A consumer magazine wants to compare lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each time and records the lifetimes (in minutes) in the table below. Do the data indicate that there is a difference in the mean lifetime for the three brands of ballpoint pens?
Answer:
The first step would be to look at the average for each brand.
The average can be calculated as:
A = (a1 + a2 + .... + an)/N
where a1 is the first lifetime, a2 is the second one, etc. And N is the total number of data points.
So, for Brand 1 we have:
A1 = (260 + 218 + 184 + 219)/4 = 220.25
Brand 2:
A2 = (181 + 240 + 162 + 218)/4 = 200.25
Brand 3:
A3 = (238 + 257 + 241 + 213)/4 = 237.25
So only from this, we can see that Brand 3 has the larger lifetime, then comes Brand 1 and last comes Brand 2.
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. A quality control analyst wants to examine thermometers that give readings in the bottom 4%. Find the temperature reading that separates the bottom 4% from the others. Round to two decimal places.
Answer:
the temperature reading that separates the bottom 4% from the others is -1.75°
Step-by-step explanation:
The summary of the given statistics data set are:
Mean [tex]\mu[/tex] : 0
Standard deviation [tex]\sigma[/tex] = 1
Probability of the thermometer readings = 4% = 0.04
The objective is to determine the temperature reading that separates the bottom 4% from the others
From the standard normal table,
Z score for the Probability P(Z < z) = 0.04
P(Z < -1.75) = 0.04
z = -1.75
Now, the z- score formula can be expressed as :
[tex]z = \dfrac{X-\mu}{\sigma}[/tex]
[tex]-1.75 = \dfrac{X-0}{1}[/tex]
-1.75 × 1 = X - 0
X = -1.75 × 1 - 0
X = -1.75
Therefore, the temperature reading that separates the bottom 4% from the others is -1.75°