Answer:
v=3
Step-by-step explanation:
15v-9v=18
6v = 18
6 6
v = 3
The table represents the speed of Frog A at a frog-jumping contest. Frog B travels 2 feet each second. If the course is 20 feet long, who will win the race?
Answer:
Frog b
Step-by-step explanation:
Answer:
Frog b
Step-by-step explanation:
A pigeon can fly 800 meters in one minute. How far does a pigeon fly in 25 minutes?
Answer:
d 20,000
Step-by-step explanation:
A CBS News/New York Times poll of 1,000 adults in the United States asked the question, "Do you think global warming will have an impact on you during your lifetime?" (CBS News website). Consider the responses by age groups shown below.
Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.
Define probability?Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.
Positive Results/Total Results = x/n = Probability (Event)
The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:
P (18-29 and no) = 293/(134 + 293 + 117) = 0.536
The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:
P (30+ and no) = 432/(131 + 432 + 178) = 0.654
The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:
P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265
Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.
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The complete question is:
Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?
an u please help me out
Rewrite the root be,
\(\sqrt{39}=\sqrt{3\cdot13}=\sqrt{3}\sqrt{13}\)
We know that \(\sqrt{3}\approx1.7,\sqrt{13}\approx3.6\)
Write decimals as fractions and multiply them,
\(\frac{17}{10}\cdot\frac{36}{10}=\frac{612}{100}=6.12\)
So it should be on somewhere around the next tick from 6.
Hope this helps :)
A circle has a circumference of 24cm. What is the circle's radius? Give your answer to the nearest integer (whole number)
Answer:
3.82165605 and rounded is 4
Step-by-step explanation:
The radius would be 4 cm or to be exact 3.82165605 cm
What percent of your body mass is made of water?
Oa. 20% -40%
O b. 40%-60%
O c. 60%-80%
O d. 80%-90%
60%-80% percent of your body mass is made of water
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
The human body like any other living organisms is composed of cells and cells typically are 70% water.
The Human Body also contains a percent of bone tissue which are ossified calcium and minerals lacking water.
Because each human body is composed of lean body mass which holds more water by percent than does fatty tissue the range of water in the body can be from 50% to 65% with the average adult between 57% and 60%. At birth a baby is typically between 75% and 78% water dropping to 65% by the end of the first year.
Hence, 60%-80% of your body mass is made of water.
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The graph shows the relationship between the number of members in a club and the number of years after the club began. Based on the trend shown in this data predict the year in which the club will have no members. Shudents 90 80 70+ 60 50 40 30+ 20 10 1 2 3 4 $ 6 7 GO Years 10 A 1 year С 6 years B 3 years D 8 3 years
Answer:
Choice D: 8 years.
Explanation:
The graph shows that the number of members has been decreasing with increasing years. This decrease is can be modeled by a straight line that r
2. Kasie lives in Seattle. She can see her house from the observation deck of the Seattle Space Needle. The
observation deck is 520 feet above the ground and the angle of depression from the deck to her house
is 70. What is the direct distance from the base of the Space Needle to Kasie's house? Round your
answer to the nearest foot.
Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.
What is angle of depression?The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.
Given,
Height of the observation deck AB = 520 feet
Angle of depression = 70°
Distance of the Space needle base to house BC = ?
By the figure,
tan70° = AB/BC
BC = tan70°(AB)
BC = 2.7475(520)
BC = 1428.7 feet
Distance of the Space needle base to house to nearest foot = 1429 feet
Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.
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x-3/18=12/9 find proportion
What are the relevant characterisitics of the graph of this conic section
Okay, here we have this:
(x-a)²+(y-b)²=r² is the equation of the circle with radius r and with center at (a, b), then: We are going to rewrite the equation to the form of the ordinary equation of the circumference:
(x-3)²+(y-(-1))²=5²
Therefore the properties of the circle are:
(a,b)=(3,-1) and r=5.
PLEASE HELP ASAP !!!!!
Find the unit rate for each problem.
1. 64 books on 4 shelves = ? books per shelf
2. 36 flowers in 3 bouquets = ? flowers per bouquet
3. 25 rulers in 5 groups = ? rulers per group
4. 45 points in 3 games = ? points per group
5. 10 hours to drive 550 miles = ? miles per hour
6. 24 pieces of candy in 3 bags = ? pieces per bag
7. 92 dollars for 2 video games = ? dollars per video game
The question mark stands for the answer !!!
Answer:
1. 16
2. 12
3. 5
4. 15
5. 55
6. 8
7. 46
:)
Elliot’s school has 24 classrooms. Each classroom has seats for 26 students. What is the maximum number of students the school can seat? Multiply to find the answer.
Answer:
24*26= 624 students
hope this helps!
Answer:
624 seats
Step-by-step explanation:
Total classrooms = 24
Each classroom has seats = 26
Total Number of seats = 24*26
=> 624 seats
Put the following equation of a line into slope-intercept form, simplifying all fractions 5x=y-4
Answer:
y = 5x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
5x = y - 4 ( add 4 to both sides )
5x + 4 = y , that is
y = 5x + 4 ← in slope- intercept form
which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x
Answer:
(c) y = 3^x
Step-by-step explanation:
A function is described as exponential if the independent variable is found in the exponent.
Choicesy = x^(1/2) . . . a square root function, not exponential
y = 2x^3 . . . . a cubic (polynomial) function, not exponential
y = 3^x . . . . . an exponential function
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
243 ft^3
Step-by-step explanation:
The volume of a triangular prism is the triangular base times the height.
To get the area of the triangle, multiply the base time height and divide by 2.
9*6/2=27
Now multiply by the height
27*9=243
Answer: 243 ft^3
Answer:
243ft^3
Step-by-step explanation:
Select the correct answer. Which statement best describes the zeros of the function h(x) = (x – 6)(x2 + 8x + 16)? A. The function has two distinct real zeros. B. The function has three distinct real zeros. C. The function has one real zero and two complex zeros. D. The function has three complex zeros.
We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.
What is a function?In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.
To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),
we can set the function equal to zero and solve for x.
Setting h(x) = 0, we have:
(x - 6)(x^2 + 8x + 16) = 0
Setting x - 6 = 0, we find:
x = 6
Setting x^2 + 8x + 16 = 0,
we can attempt to factor or use the quadratic formula.
Therefore, the function:
h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.
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Can someone solve this for x and y
Answer:
\(y = 6\\\\x = 6\sqrt{2}\\x=8.485\)
Step-by-step explanation:
The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.
It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = \(6\sqrt{2}\), in the decimal form that is 8.485.
Find the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0)
The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.
To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.
The slope of a line can be found using the formula:
slope = (change in y) / (change in x)
For the line containing (1,2) and (5,3), the slope is:
slope1 = (3 - 2) / (5 - 1) = 1 / 4
To find the slope of the line containing (x,4) and (3,0), we use the same formula:
slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)
Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.
So, we can set up the equation:
-1 / (1/4) = -4 / (3 - x)
Simplifying this equation:
-4 = -4 / (3 - x)
To remove the fraction, we can multiply both sides by (3 - x):
-4(3 - x) = -4
Expanding and simplifying:
-12 + 4x = -4
Adding 12 to both sides:
4x = 8
Dividing both sides by 4:
x = 2
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I need help ASAP ?!
Answer:
K = 40 degrees
I = 50 degrees
Step-by-step explanation:
Recall that the addition of all three internal angles of a triangle must give 180 degrees
Then 90 + (5 x - 5) + (4 x + 14) = 180
90 + 5 x + 4 x - 5 + 14 = 180
99 + 9 x = 180
9 x = 180 - 99
9 x = 81
x = 81 / 9
x = 9
Then we can find the measures of angles K and I as:
K = 5 x - 5 = 5 (9) - 5 = 40 degrees
I = 4 x + 14 = 4 (9) + 14 = 36 + 14 = 50 degrees
What statement could you write in a proof formZADC using the Angle Addition Postulate asa reason?
The main idea behind the Angle Addition Postulate is that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures. For this postulate to apply, the vertices, which are the corner points of the angle, have to also be placed together.
The angle in question to be proven is
\(m\angle\text{ADC}\)Therefore,
\(m\angle ADC=m\angle ADB+m\angle BDC\)Hence,
The final answer is m∠ADC= m∠ADB + m∠BDC
is my answer correct?
THE ONE-EYED JACK MINE INVESTIGATION
The abandoned One-Eyed Jack Mine is about 31 miles off the main road adjacent to the Salmon River Wilderness area. There is only a rutted dirt track left where the access road used to run. It is so steep that when we hiked up it we had to pause every fifty feet or so to catch our breath. It seemed impossible but 3- 5 miles further we found remnants of the old wagons, the mineshaft, and the mill. The gold ore found in this mine was embedded in quartz and prospectors used the mill to grind up the quartz and rinse it with acid in huge shallow vats that were agitated so that the gold would sink to the bottom and the quartz could be washed away.
One arrangement of equipment we noticed included a circular vat about 18 feet in diameter which must have been connected by a huge belt to a smaller circular drive wheel 10 feet in diameter. The distance between the wheel and the vat was 8 feet. The equipment had been partially pre-fabricated then carried up the hill piece by piece to be re-assembled on the spot. Just the belt to connect the vat to the drive wheel would have been a major burden. We wondered how many times they had to carry new ones up to replace it. Calculate the length of belt needed to go around the drive wheel and the vat.
Answer:
The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.
The circumference of the vat is 18 feet * 3.14 = 56.52 feet.
The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.
The ratio of oranges in a fruit salad to people it will serve is 9/40, or 9:40. If Lisa wants to serve 800 people, how many oranges will Lisa use?
The correct answer is 180 oranges
Explanation:
In mathematics, a ratio expresses two or more numbers that are related. In the case fo the ration 9: 40 this expresses 9 oranges are used to serve fruit salad for 40 people. Now, if you need to determine what is the number of oranges not for 40 people but for 800 people you can use cross multiplication. This process is explained below:
\(\frac{9}{40} = \frac{x}{800}\) - 1. Multiply 9 x 800 and 40 x x (cross multiplication)
\(7200 = 40x\) - 2. Solve the equation by diving 7200 into 40
\(\frac{7200}{40} = x\)
\(x = 180\) - 3. 180 represents the number of oranges to serve 800 people, which can be expressed as 180: 800
If you move from 0 to 15 on a number line you are representing all of the following except
Answer:
The opposite of 15
I hope this helps!
Enter the prime factorization of 198. Use exponents for repeated factors . Be sure to use the between different factors. For example , the prime factorization for 12 can be entered as 2 ^ 2 * 3 or 3 * 2 ^ 2 .
Answer:
2 * 3^2 * 11
Step-by-step explanation:
198/2 = 99 (so 2 is a prime factor)
99/3 = 33 (3 is another factor)
33/3 = 11 (3 is yet another factor)
11 is prime so cannot factor any further
198 = 2 x 3 x 3 x 11 = 2 x 3^2 x 11
What type of number is ✓40?
Choose all answers that apply:
A) Whole number
B) Integer
C) Rational
D) Irrational
Answer:
Step-by-step explanation:
it is irrational
Answer:
Marla, Jamie, and sarah have each led their book club's monthly meeting. jamie has led 2/6 of the meetings, and sarah has led 1/6 of the meetings. what fraction of the meetings has marla ledPLZZZZZZZZZZZZZZ HELP I WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER
Answer:
B
Step-by-step explanation:
-(-a)/b = a/b
Option A is not equal to a/b
But Option B is, after cancelling out the negative sign
Answer:
\(\large \boxed{ \mathrm{B.} \ - \frac{a}{-b} }\)
Step-by-step explanation:
\(\displaystyle -\frac{-a}{b} =-(- \frac{a}{b} ) = \frac{a}{b}\)
The first option is not equivalent to a/b.
\(\displaystyle \frac{a}{-b}\neq \frac{a}{b}\)
The second option is equivalent to a/b.
\(\displaystyle -\frac{a}{-b} =\frac{-a}{-b} = \frac{a}{b}\)
In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues, what will be the population in 10 more years? Round your answer to the nearest whole number.
Answer:
Final population after 10 years
= 288911718
Step-by-step explanation:
Present population p = 258,316,051
Rate of growth R%= 1.12%
Number of years t= 10 years
Number of times calculated n = 10
Final population A
= P(1+r/n)^(nt)
A= 258,316,051(1+0.0112/10)^(10*10)
A= 258,316,051(1+0.00112)^(100)
A= 258,316,051(1.00112)^100
A= 258,316,051(1.118442762)
A= 288911717.6
Approximately A= 288911718
Final population after 10 years
= 288911718
In a plane, line b is parallel to line f, line f is parallel to line g, and line h is perpendicular to line b. Which of the following cannot be true?
Answer: f is Parralel to g
Step-by-step explanation:
Answer:
You gave us no choices
Step-by-step explanation:
h is not parallel f
Plz plz plz plz help me out
Answer: 60
Step-by-step explanation:
you can see here that 1 van can hold 12 people. so, if you just multiply that number by 5, then you can see how many fit into 5 vans.
Answer:
60 passengers.
Step-by-step explanation:
From the table, you'ld realise that it is in a sequence of (12), that is 1×12=12, 2×12=24, therefore, the number of passengers that can be transported in 5 vans are 5×12= 60 passengers.
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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