Answer:
k = -12
Step-by-step explanation:
When lines are perpendicular, their slopes are the opposite reciprocal of each other.
The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4
[tex]\frac{k}{3}=-4[/tex]
k = -12
. A study was conducted to evaluate the relationship between artificial sweeteners and bladder cancer. 3,000 cases and 3,000 controls were enrolled in the study. Among the cases, 1293 had used artificial sweeteners in the past, while 1707 had never used artificial sweeteners. Of the controls, 855 had used sweeteners and 2145 had not. a. What is the exposure and what is the disease
Answer:
Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.
The disease is bladder cancer.
Explanation:
Calculate odds for exposed group =
1293 with bladder cancer had used artificial sweeteners in the past/
855 without bladder cancer had used sweeteners= 1.51
Calculate odds for not exposed group=
1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795
Odds ratio=odds for exposed group/odds for not exposed group
= 1.51/0.795
= 1.899
Therefore exposed group has two times the odds of bladder cancer than not exposed group.
Given the inequality, select all the values of x that make that inequality true 3(2k-1)<9 0 1 2 3 4
Answer:
We have the inequality:
3*(2*x - 1) < 9
Where the given options are:
0, 1, 2, 3, 4
(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).
Again, let's start with the inequality:
3*(2*x - 1) < 9
and let's isolate the variable x.
(2*x - 1) < 9/3 = 3
(2*x - 1) < 3
2*x < 3 + 1 = 4
2*x < 4
x < 4/2
x < 2
Then all the values of x that are strictly smaller than 2 make the inequality true.
From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:
x = 0
and
x = 1.
If there are 28 girls and 32 boys in the school’s band, what is the ratio of boys to to total students?
If it takes 2 cups of flour to make 45 cookies, how many cups of flour will it take to make 135 cookies? (hint: set up a proportion.)
A factory makes 12 bikes in 3 hours. If it keeps making bikes at the same rate, how many bikes will it have made in 8 hours? (hint: set up a proportion.)
On a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the cities? (hint: set up a proportion.)
4 questions will mark brainliest 1st to answer them in order
Answer:
1. 8:15
2. 6
3. 32
4. 12.4
What is the volume of a cube with a side length of 3tunits?
Cube V = 93
Answer:
The volume 27.
The volume of a cube:
Volume = side³
The volume of a cube with side 3 units is 27 cubic units.
What is a cube?It is a polygon having six faces.
The volume of a cube:
Volume = side³
Example:
The volume of a cub with a side length of 2 cm is 8 cubic cm.
We have,
Side = 3 units
Volume = Side³
Volume:
= 3³
= 3 x 3 x 3
= 27 cubic units
Thus,
The volume of a cube with side 3 units is 27 cubic units.
Learn more about cubes here:
https://brainly.com/question/11168779
#SPJ2
find the height of a right cylinder with surface area 160pie square units and radius 5 units
Given:
Radius of a cylinder = 5 units.
Surface area of the cylinder = [tex]160\pi[/tex]
To find:
The height of the right cylinder.
Solution:
Surface area of a cylinder is:
[tex]A=2\pi rh+2\pi r^2[/tex]
Where, r is radius and h is the height of the cylinder.
Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get
[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]
[tex]160\pi =10\pi h+2\pi (25)[/tex]
[tex]160\pi =10\pi h+50\pi [/tex]
Subtract [tex]50\pi[/tex] from both sides.
[tex]160\pi -50\pi=10\pi h [/tex]
[tex]110\pi=10\pi h [/tex]
Divide both sides by [tex]10\pi[/tex].
[tex]\dfrac{110\pi}{10\pi}=h[/tex]
[tex]11=h[/tex]
Therefore, the height of the cylinder is 11 units.
Find the vertex: y=1/2 x^2+2x-3
Please explain how to find the answer too!
Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
Learn more about parabola here:
brainly.com/question/4074088
#SPJ2
lisa had wood that was 12 1/2 feet long. she cut it into 5 pieces that are equal in leangth.how long is each piece of wood?
Answer:
2 1/2
Step-by-step explanation:
divide in 5 then divide half in 5 also
Answer:
2,5
Step-by-step explanation:
The length of a piece of wood is:
12 ½ : 5 = 5/2 = 2,5
find the measures of x and y. I NEED THIS NOWW
Answer:
Solution given:
x+x+24°=90[being complementary angle]
2x=90-24
x=66/2
x=33
again
2x=3y[vertically opposite angle]
y=2*33/3
y=22
Answer:
2x +24 =90
2x =90-24
2x =66
x =33
CAK=24
2X=3Y
3Y=2×33
3Y=66
Y. =22
Which statement accurately describes the difference between short-term and long-term capital gains in terms of taxes? A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains. B. Long-term capital gains are from investments that have been held for at least six months and are taxed at a lower rate than short-term capital gains. C. Long-term capital gains are from investments that have been held for more than one year and are taxed at a higher rate than short-term capital gains. D. Long-term capital gains are from investments that have been held for at least six months and are taxed at a higher rate than short-term capital gains.
Answer: A. Long-term capital gains are from investments that have been held for more than one year and are taxed at a lower rate than short-term capital gains.
Step-by-step explanation:
Long-term capital gains are indeed from investments that have been held for more than a year as opposed to short term gains from investments of less than a year. This means that long term gains can come from investments such as stocks and bonds.
Long-term capital gains are taxed at a lower rate than short term gains with most long term gains being taxed at 15% or lower. This is in contrast to short-term gains that are taxed at the same rate as ordinary income which means it could go up to as high as 37%.
Answer: A
Step-by-step explanation:
Farah spent $13 on 4 items from the
snack stand at the airport. The
snack stand charges $7 per
sandwiches and $2 per bags of
snack mix. It she purchased a
combination of sandwiches and
snack mix bags, how many of each
food item did Farah purchase?
Answer:
Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$
2+2+2+7=$13
What is the force on the surface of a square of side 5 m if the pressure acting on it is 25 pascal ?
Answer:
625 N
Step-by-step explanation:
First, find the area of the square.
Area = side x side
= 5 x 5
= 25 m²
Force = pressure x area
= 25 x 25
= 625 N
Hope this helps!
which point lies in the solution set of the inequality 1/2(x+2)+3y<8?
Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:
[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]
To find:
The point lies in the solution set of the given inequality.
Solution:
We have,
[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]
It can be written as:
[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]
[tex]\dfrac{1}{2}x+1+3y<8[/tex]
[tex]\dfrac{1}{2}x+3y<8-1[/tex]
[tex]\dfrac{1}{2}x+3y<7[/tex]
All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).
[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]
[tex]0<7[/tex]
This statement is true. It means (0,0) is in the solution set.
For example (0,3).
[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]
[tex]9<7[/tex]
This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
49×7³×100. -----------------. 10³×3³×7²
Please help me solve my problem!!!
Answer:
B. Parallelogram
Step-by-step explanation:
1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)
2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.
3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.
4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.
5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.
6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that B. Parallelogram is the type of polygon that this figure is.
i think of a number, multiply it by 3, add 4 and square the answer
Answer:
(3x + 4)²
Step-by-step explanation:
Let the unknown number be x.
(3x + 4)²
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
I don’t wanna get wrong
Answer:
I think the answer is yes
Multiply x by 12 to get y
Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74
Answer:
The answer I'd the option D
Tim has 5 yellow and 10 blue marbles in a bag. What is
the probability of choosing a yellow marble from the
bag?
Answer:
1/2 chance
Step-by-step explanation:
5 and 10 can be divided down to 1/2
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
Which interval or union of intervals represents the values for which f(x) is ≤ 0? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
(-∞, -1]∪{5}
Step-by-step explanation:
We know that:
f(x) ≤ 0 is true if the graph of the function is intersecting the x-axis or below the x-axis.
So we can just look at the graph, we can see that in the interval:
(-∞, -1] (the value x = -1 is included, that is why we use the symbol ] instead of the parenthesis)
the graph is below or intersecting the x-axis
and this also happens at x = 5 or just denoted as {5}
Then the correct notation is:
(-∞, -1]∪{5}
Jaideep changes $12 000 into euros (€) to buy land in another country.
The exchange rate is €1 = $1.33.
Calculate the number of euros Jaideep receives.
A farmer sold food grains for 9200 rupees through an agent. The rate of commission
was 2%. How much amount did the agent get?
The price of a machine depreciates at 10% every year. If the present value of the
machine be Rs.100000, what will be its value after 3 years?
Lucinda invests $500 at a rate of 5% per year simple interest.
Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK
exercise 1
1) 12 000 : 1,33 = 9022,55 €
exercise 2
1) 9200 : x = 100% : 2%
(9200*2) : 100 = 184 rupees
(sorry dont know the other two ones)
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space. He gives the remaning $50,000 to a charity. How much did he win?
Answer:
Step-by-step explanation:
Step 1
Find the fraction of the money he gave the charity
Let the total amount he had = 1
Bertie won the lottery! He spends 4/5 of his money on a large house. He spends 3/4 of his REMAINING money on a luxury yacht. He spends 2/3 of his remaning money on a trip to space.
Fraction of money he gave to charity =
1 - (4/5 + 3/4 + 2/3)
He gives the remaning $50,000 to a charity. How much did he win?
Help me please and no links
Answer:
x = -2
x=-12
Step-by-step explanation:
5 | x+7| +14 = 39
Subtract 14 from each side
5 | x+7| +14-14 = 39-14
5 | x+7| = 25
Divide each side by 5
5 | x+7| /5 = 25/5
| x+7| = 5
Make two equations, one positive and one negative
x+7 =5 x+7 = -5
Subtract 7 from each side
x+7-7 = 5-7 x+7-7 = -5-7
x = -2 x=-12
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes
Divide (16m³-10m²+2m)÷2m
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution♡}}[/tex]
[tex]8 \: {m}^{2} - 5 \: m + 1[/tex] ✅
Step-by-step explanation:
[tex] \frac{(16 \: {m}^{3} - 10 \: {m}^{2} + \: 2m) }{2 \: m} \\ \\ = \frac {2 \: m \: (8 \: {m}^{2} - 5 \: m + 1)} {2 \: m} \\ \\ = 8 \: {m}^{2} - 5 \: m + 1[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
a cylinder and sphere both have the same diameter and the same volume. if the height of the cylinder is 36cm,
find their common radius?
Answer:
27
Step-by-step explanation:
V_cylinder = pi r^2 h
h = 36
V_cylinder = 36 pi r^2
V_Sphere = 4/3 * pi * r^3
But the volumes are given as equal
36pi r^2 = (4/3) pi r^3 divide by pi r^2
36 = 4/3 r Multiply both sides by3/4
36 * 3/4 = r
r = 27
What two numbers sum up to 11 and multiply to 18
Answer:
9 and 2
Step-by-step explanation:
9+2=11
9×2=18
Answer:
9 and 2
Step-by-step explanation:
f(x) = xWhat is g(x)?
Answer:
D.
Step-by-step explanation:
I don't really know how to explain this over a computer, but it is correct.
Hope that this helps!
Answer:
compressibility, particle motion, shape
Step-by-step explanation:
just took it
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
