Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
Find 3 consecutive positive integers such that the product of the larger 2 is equal to twice the second integer plus twice the sum of all 3 integers
Step-by-step explanation:
x, x+1, x+2 are the 3 consecutive positive integers.
(x+1)(x+2) = 2(x+1) + 2×(x+x+1+x+2)
x² + 3x + 2 = 2x + 2 + 2×(3x + 3)
x² + 3x + 2 = 2x + 2 + 6x + 6 = 8x + 8
x² - 5x - 6 = 0
we can solve this by finding the factoring.
that means we find a, b so that
(x - a)(x - b) = x² - 5x - 6 = 0
because then x = a and x = b are the 2 solutions of the quadratic equation.
we have
x² - ax - bx + ab = x² - (a+b)x + ab = x² - 5x - 6
a+b = 5
ab = -6
that means, either a or b must be 6 and the other -1.
so we get
(x - 6)(x + 1) = 0
x = 6
or
x = -1
since we are only looking for positive integers, the x = -1 solution is invalid, and we get only x = 6 as solution.
therefore the 3 consecutive positive integers are
6, 7, 8
Find the equation of the line that
is perpendicular to y = -8x + 2
and contains the point (-4, 1).
Answer:
Step-by-step explanation:
Perpendicular lines will have negative inverse slopes of each other. In this case, the slope of the known line is -8. The negative of -8 or -(-8) is just +8. The inverse of +8 is +1/8.
Now we know the slope of the line perpendicular to y=-8x+2 and we are given the point (-4,1).
All linear lines have the form of y=mx+b and we know the slope.
y=1/8x+b
We plug in (-4,1) into the equation:
1=1/8 * -4 +
1=-1/2+b
b=3/2
We now have the b constant and can simply just write the equation:
y=1/8x+3/2
Answer:
=-8x+2
Step-by-step explanation:
step by step explanation
Will mark brainlist to whoever answers first
(6).
Answer:
Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle. Therefore RU = 16/2 would just give us 8.
Joan has a semi-circular swimming pool. The pools has a radius of 13 feet. What is the distance around the swimming pool
Answer:
66.84 feet.
Step-by-step explanation:
Distance around = length of straight part + length of the semi-circle
= 2*13 + π*13
= 66.84 feet.
How do outliers affect the mean of a data set?
A. It does not change.
B. It increases.
C. It decreases.
D. It depends whether the outlier is a high outlier or a low outlier.
Answer:
D is your answer Outlier An extreme value in a set of data which is much higher or lower than the other numbers.
Step-by-step explanation:
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data
proportional relationship between 4y and 2x??
Answer:
This is proportional since rearranging it would get x/y = 2, which is an example of direct proportionality.
Step-by-step explanation:
If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the planet, approximately how many total human follicles are there? Give your answer in scientific notation.
There are about 3.5 * 10¹⁶ human hair follicles.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
given, If there are about 5 × 10^6 hair follicles on the human body and about 7 × 10^9 people on the plane.
=35×10⁹⁺⁶
=35x10¹⁵
=3.5×10¹⁶
So the answer is "There are about 3.5 x 10¹⁶ human hair follicles"
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Natalia has total assets valued at 7,285 and total liabilities valued at 6,735. What is her net worth?
Natalia Net worth will be 550 having Assets= 7285 and liabilities= 6735
Net worth= 550
What is Assets and Liabilities?
Assets are the items your company owns that can provide future economic benefit. Liabilities are what you owe other parties.
Given that: Assets= 7285, liabilities= 6735
As we know,
Total Net worth= Total Assets - Total Liabilities
= 7285- 6735
= 550
The Net worth= 550
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prove that √5 + 7 is irational
Explanation:
What are irrational numbers?
Irrational numbers include numbers like: π, 12π, ∛2, √11, √12, 4√2
Note: √4 = ± 2, √16 = ± 4 and others which completely square root are still rational numbers as they can be written as whole number integers.
Here given number: √5 + 7
It is an irrational number as it cannot be simplified further to a whole number. In decimals: 9.236067977... and keeps repeating. It is an example of non-recurring decimals. Hence, it is an irrational number.Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.
Model each of Mr. Nicholson’s salary options with a recursive sequence that includes his potential earnings for the first three years of employment.
According to the first three terms of each sequence, can you conclude that there is a significant difference in Mr. Nicholson’s potential earnings with each increase option? Use complete sentences to explain your conclusion.
Answer:
B
Step-by-step explanation:
Just read and you will see why i say that
Keep the ratio simple.
3/5 : 2/5
Answer:
3:2
Step-by-step explanation:
I am assuming this means convert to whole numbers
3/5:2/5 is 6/10:4/10
6/10:4/10 is 0.6:0.4
0.6:0.4 is 6:4
6:4 is 3:2
Answer:
3 : 2Step-by-step explanation:
Keep the ratio simple.
3/5 : 2/5
remove the denominator (5) on both sides and you will have 3 : 2
A certain pond has a minnow population of 20,000, and the population of minnows is increasing at a rate of 5% per year. The algae that the minnows eat is diminishing due to an excess amount of UV light, and the number of minnows it can support is shrinking by 750 each year. How is the population of minnows growing, and how is the supply of algae declining
Answer:
20000(.05)^x-750
Step-by-step explanation:
That's the equation for figuring out the population
4x^2-11x-3 Change it to factor form
Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
[tex](4x+1)(x-3)[/tex]
Step-by-step explanation:
[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]
Hope this helps
Which statements describe the graph of 2 and StartFraction 8 over 9 EndFraction greater-than-or-equal-to x on a number line? Select three options. There is an open circle on 2 and StartFraction 8 over 9 EndFraction. The graph contains the point 0 There is a closed circle on 2 and StartFraction 8 over 9 EndFraction. The arrow points to the left. The arrow points to the right.
The correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
Which statement describes the graph of the inequality?Here we have the inequality:
(2 + 8/9) ≥ x
First, because the symbol ≥ is used, we need to put a closed circle at (2 + 8/9) which means that the value is an actual solution (open circles are used for < and >), and then we shade all the numbers to the left of that value (because x also could be smaller than that).
Then the correct option is:
"A closed circle at (2 + 8/9) and the arrow points to the left"
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Answer: a closed circle on 2 8/9 and the arrow points to the left
Step-by-step explanation:
<3
A movie complex is showing three action films and three comedy films. you randomly select two different films to watch. find the probability that you select a comedy to watch second given that you randomly selected a comedy to watch first.
the probability is ____%
show all work
Considering the definition of probability, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
Definition of probabilityProbability is the greater or lesser chance that a given event will occur.
In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.
Then, the probability of any event A is defined as the ratio between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.
[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]
The multiplication rule or product rule allows you to find the probability that event A and event B occur at the same time.
Two events A and B are dependent if the occurrence of one affects the occurrence of the other. For dependent events, the multiplication rule states that:
P(A∩B)= P(A)× P(B|A) (where P(B|A) indicates “the probability of ‘B’ having occurred ‘A’)
Probability in this caseIn this case, you know:
Number of action films= 3 filmsNumber of comedy films= 3 filmsTotal number of films = 6 filmsThe probability that the first movie selected is an comedy movie and the second movie is a action film.
Once the first movie is selected, there are no longer 6 movies available. There are only 5, because one of the options is eliminated. So the occurrence of the first event affects the second event and the events are dependent.
Then, the probabilty can be calculated A:
Probability= [tex]\frac{3}{6}[/tex]× [tex]\frac{3}{5}[/tex]
Probability= 0.3= 30%
Finally, the probability that the first movie selected is an comedy movie and the second movie is a action film is 30%.
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At what point does the line given by the following equation cross the y-axis?
y = 6/9x+3
a. (0,3)
b. (3,0)
c. (0,-)
d. (-9/2,0)
Answer:
A
Step-by-step explanation:
In a slope-intercept equation, the format goes like this:
y = mx + bM = Slope
B = Y-intercept
In the equation, y = 6/9x + 3:
The slope is 6/9
The y-intercept is 3.
So what the question means by "cross the y-axis" is when the line on the graph is going through the y-intercept point.
Because the y-intercept is 3, the ordered pair would look like this:
(0, 3)
Note: The y-intercept is when the x-intercept has a value of 0 and the y-intercept is only on the y-axis, never the x-axis.
Therefore, the answer would be Option A. (0, 3)
Consider the line shown on the graph. Enter the
equation of the line in the form y = mx + b where m is
the slope and b is the y-intercept.
y=
From the graph, we concluded that line passes through the points (0, 3) and (1, 4) respectively.
So, slope of the line (m) passing through the points (a, b) and (c, d) is
m = d - b/ c - a
So, on substituting the values, we getm = 4 - 3 / 1 - 0 = 1/1 = 1
Also, line makes an intercept of 3 units in positive direction of y - axis.
So, c = 3
So, Equation of line is given byy = mx + c
y = 1 × x + 3
y = x + 3Alternative Method :-We know, Equation of line passing through the points (a,b) and (c, d) is given by
y - b = d - b / c - a (x - a)
Here,a = 0
b = 3
c = 1
d = 4
So, on substituting these values in above result, we get :-y - 3 = 4 - 3 /1 - 0 ( x - 0 )
y - 3 = 1/1 ( x - 0 )
y - 3 = x
y = x + 3Different forms of equations of a straight line :-1. Equations of horizontal and vertical lines
Equation of line parallel to x - axis passes through the point (a, b) is y = b.
Equation of line parallel to y - axis passes through the point (a, b) is x = a.
2. Point-slope form equation of lineEquation of line passing through the point (a, b) having slope m isy - b = m(x - a)
3. Slope-intercept form equation of lineEquation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.
4. Intercept Form of LineEquation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.
5. Normal form of LineEquation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.
For times t> 0 in seconds, a superhero's height above the ground in meters is given by the function
s(t) = 600 - 14.7t2. Directly below the superhero, a person is in free fall. The person's height above
the ground is given by the function P(t) = 300 - 10t - 4.912. At what time are the superhero and the
person at the same height above the ground and how high above the ground are they?
Answer:
NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by
Assuming rocket launched at t = 0 and height is measured above sea level in meters.
Step-by-step explanation:
find the x- and y- intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6
Double tap to add title • AC is the diameter of the circle. Angle AWB is 120 degrees. How big is arc BC? A 1200 B w C D 45 Notes Comm
Answer: 60
Step-by-step explanation:
The weather forecast warns of morning fog today.
You may only be able to see 0.6 miles in front of you.
How many feet is this?
Answer:
ANSWER ✏️3168[tex] \: \: \pink{\bold{\underline{\underline{ ☛explanation}}}}[/tex]
.
lmile=5280 feet 50 0.6mile =3168 feet
#WOULD have helped
#CARRY ON LEARNING
#BRAIN-LIEST
correct my answer in case it is wrong
the algebraic expression that represents 2 less than 3 of n is:
A) 3 ( n - 2 ) B) 2 - 3 n C) 3 n - 2 D) 3 + n - 2 E) n
Answer:
Option A. 3(n-2)
Step-by-step explanation:
"2 less" - "subtract 2"
Then 3 of n - 3n
Hope helps -
Answer:
C) 3n - 2
Step-by-step explanation:
3 of n : 3n
2 less than : -2
Combine together :
3n - 2what is the area of a heptagon with an apothem of 15.5 and side length of 15
Answer:
813.75
Step-by-step explanation:
area of a regular polygon = side length × # of sides × apothem × 1/2
here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5
so area = 15 × 7 × 15.5 × 1/2
==> multiply 15 by 7 by 15.5
area = 1627.5 × 1/2
==> divide 1627.5 by 2
area = 813.75
get it right for brainliest
Answer:
U={1,2,3,4,5,6,7,8,9,}
A={1,3,5,7,9}
B={2,4,6,8}
C={1,2,3,4,5,6}
now,
A∩B={nothing}U c
={1,2,3,4,5,6,7}
mark me as brainliest
Explain how to identify the restrictions on the variable when adding or
subtracting rational expressions.
Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.
What is rational expressions and examples?A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.
To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.
[tex]6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101[/tex]Learn more about rational expressions here:
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On a test that has a normal distribution, a score of 49 falls two standard deviations
below the mean, and a score of 61 falls one standard deviation above the mean.
Determine the mean of this test.
Answer:
57 mean
Step-by-step explanation:
x = mean
(x - 49 ) = 2 ( 61 -x)
x = 57
PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST
Answer:
First one is a, second one is d, and the third one is b
Step-by-step explanation:
hope this helps friend
A circular cake is 360˚. If you eat a piece that is 40˚ of the cake, how many degrees
are left in the cake?
Answer:
320˚ left
Given that:
Total angle: 360˚
Angle Eaten: 40˚
Left:
Total angle - Angle Eaten
360˚ - 40˚
320˚
Could the cost of one large plant be $5.50 and the cost of one medium plant be $2.25 ? Justify your answer
Answer:
yes.The medium plant cannot be the same price of a large price cause of the size difference
Hence the medium plant being nearly half the price of the large plant
There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?