Answer:
discriminant: 4; number of real roots: 2
Step-by-step explanation:
The coefficients a, b and c of this quadratic are {-3, -2, 0}.
Thus, the discriminant b^2 - 4ac is (-2)^2 - 4(-3)(0), or 4.
Because the discriminant is positive, this quadratic has two real, unequal roots.
-3p^2 - 2p can be factored as follows: -p(3p + 2). If we set this expression equal to zero, we can find the roots: {-2/3, 0}
Find the volume of the triangular prism in the picture shown. Round your answer to the
nearest tenth. *
1: 167
2:77.3 yd
3: 77 yd²
Given:
A figure of a triangular prism.
Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
[tex]V=Bh[/tex] ...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
[tex]B=\dfrac{1}{2}\times base\times height[/tex]
[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]
[tex]B=2\times \dfrac{29}{3}[/tex]
[tex]B=\dfrac{58}{3}[/tex]
Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get
[tex]V=\dfrac{58}{3}\times 4[/tex]
[tex]V=\dfrac{232}{3}[/tex]
[tex]V=77.33...[/tex]
[tex]V\approx 77.3[/tex]
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Mitchell deposits $1,200 in an account that pays 4.5% simple interest. He keeps the money in the account for three years without any deposits or withdrawals. How much is in the account after three years?
Answer:
$1362
Step-by-step explanation:
(ILL MARK BRAINLIEST)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1).
What are the coordinates of point S’?
(2, 1)
(1, –2)
(–1, –2)
(2, –1)
Answer:
D.) or (2, -1)
Step-by-step explanation:
PLEASE HALP WILL GIVE CROWNNN PLESSSSSSSSSS
Which pair of transformations to the figure shown below would produce an image that is on top of the original (same position, shape, and size)?
A hexagon in the shape of a right arrow is above a horizontal line and left of a vertical line.
A. a translation to the right and a reflection over the vertical line of reflection shown
B. a translation down and a reflection over the horizontal line of reflection shown
C. a 90° clockwise rotation and a reflection over the vertical line of reflection shown
D. a 180° counterclockwise rotation and a reflection over the horizontal line of symmetry shown
Answer:
triangle
Step-by-step explanation:
what is m<M to the nearest degree? show your work.
Answer:
27°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Sine
sin theta = opposite/Hypotenuse
Opposite = 5
Hypotenuse =11
sin theta = 5/11
theta = arc sin (5/11)
theta = 27.035691789°
Approximately = 27°
Angle m<M = 27°
A ladder is placed against a wall.
To be safe, it must be inclined at between 70° and 80° to the ground.
5.8m
O 11N/Ma1 lesson 3438
HERRER
1.5m
MM
G
(a) is the ladder safe?
Answer:
yes it is safe.
Step-by-step explanation:
Tan^-1 (5.8/1.5)
theta = 75.5
yes, it is safe
The angle is between 70° to 80°.
Yes, the ladder is safe.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
From the figure,
tan Θ = 5.8 / 1.5
Θ = tan (5.8 / 1.5)
Θ = 75.5°
The angle is between 70° and 80°.
Thus,
The ladder is safe.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Find the tangent of ∠T
Answer:
tangent angle T = 2.3999
Step-by-step explanation:
sin T = 48/52 = 0.9231
angle T = 67.3801 degrees
tangent angle T = 2.3999
Ray has 3 1/2 gallons of maple syrup. He fills nine 1 quart bottles with syrup and gives them away how many quarts of maple syrup does he have left
Answer:
5 quarts
Step-by-step explanation:
3.5 gal - 9 quarts = 1.25 gal, or 5 quarts.
The number of quarts of maple syrup Ray has left is 4.75 quarts.
What is subtraction of fractions?Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.
Given that, Ray has [tex]3\frac{1}{2}[/tex] = 7/2 =3.5 gallons of maple syrup.
Ray fills [tex]9\frac{1}{4}[/tex] = 37/4 = 9.25 quarts.
We know that, 1 gallon = 4 quarts
Here, the number of quarts of maple syrup left
= 3.5×4-9.25
= 14-9.25
= 4.75 quarts
Therefore, the number of quarts of maple syrup Ray has left is 4.75 quarts.
To learn more about the subtraction of fractions visit:
https://brainly.com/question/5220474.
#SPJ2
help please quick!!!
Answer:
9,000 is the answer you are looking for
How many lines of symmetry are there in the object pictured below?
Answer:
There are two lines of symetry.
Answer:B
Step-by-step explanation
its B
Find the slope of the lines given two points. (-7, 2) and (-7, 1)
Answer:
undefined
Step-by-step explanation:
m=1-2/-7-(-7)
m=-1/0
x=0 slop
the line will be vertical and the slope is undefined
Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-point scale, the researcher calculates the subjects' amount of itching
before treatment compared with the amount of itching after treatment. The response variable is the itch rating after one hour of treatment. Previous studies have shown the effects of
treatment may vary based on a subject's pain resistance. How should the subjects be blocked? Explain. (4 points)
They should be blocked alphabetically so the subjects are as different as possible.
They should be blocked by age because older subjects tend to itch more.
They should be blocked by gender because female subjects tend to itch more.
They should be blocked by pain resistance so the subjects are as similar as possible.
O Blocking should not be used in this experiment.
Answer: Choice D
They should be blocked by pain resistance so the subjects are as similar as possible.
============================================================
Explanation:
The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.
Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.
This is why choice D is the final answer.
-------------
Extra info:
Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it. Choice C is false for similar reasons as choice B.Answer:D
Step-by-step explanation:
This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D
Slope Instruction: Calculate the slope of the two points. (8,6)(2, 12) m
please help i don’t understand
Step-by-step explanation:
jiihihihgkhkgkgkhlhxgktjgdfafjykhkhlgxgkglgk bmgmgxhlhxgxhlulgmfjRjydhlkgjryeulgmgztjydhdhlcxgdgitxfztugkxygxgfufjjgzgjgjgkxgjzgkxgkxgkxchkxgkxhkxhkhlkxgxkgxtxkhxkgxkgxfjzfjzfizfjzfjzfjzfuxtkxyixgkxgkxxkhckhxg,fjzfjzgjzkgxjgzgk,gmzfjzjfzfjzkxgxjgxgjxgjxgkxgmxmb.bbmvmnv,cnznfzgmxx
pls can anyone pls help!! asap and you will get brainliest if you are right
Answer:
1. no
2. yes
Step-by-step explanation:
NEED HELP!!! What are the missing measures???
Answer:
jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90
Step-by-step explanation:
help please :()
Write a fraction in which the numerator and denominator are both greater than 9. Then write the fraction in the simplest form.
Total surface area of a cuboid 0.7
,
TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7
HELP PLEASE OMGGGGGGGGGGGGG
Answer:
7x-2+5x-10+4x=180°
16x-12=180
16x=192
x=192/16
x=12
Football The function defined by h = -5t² + 20t + 2 indicates the approximate height h of a soccer ball. in meters according to the elapsed time t in seconds, since it was launched. This ball hit the ground before a receiver managed to approach it. How much time has the balloon spent in the air, to the nearest tenth of a second! For how many seconds was he at a height of at least 17 m?
Someone help please? its late.
Answer:
It would be 10 units
you can use the midpoint formula.
Find the exact value of x.
Thank you
Answer:
Step-by-step explanation:
Using the same proportion as the previous question
11/x = x / 8 Cross multiply
x^2 = 88 Factor 88 into at least 1 perfect square and something
x^2 = 4 * 22 Take the square root of both sides
x = sqrt(4 * 22)
x = 2*sqrt(22)
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
Information : Ali makes $50 in savings a month. Also i need the months of the fee and ali to go up to 12 months. thank youuu
In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?
What's true about a regular polygon?
Answer:
Both the angles and sides are congruent.
Answer:
B
Step-by-step explanation:
I think
Find the lateral surface area of this
cylinder. Round to the nearest tenth.
12cm
3 cm
?] cm2
lateral surface area of this cylinder is 1584/7 or 226.28...cm square.
The lateral area of the cylinder is 226.2 cm² .
What is lateral surface area of cylinder?The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.
For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:
A = 2πrh.
According to the question
radius of cylinder = 3 cm
height of cylinder = 12 cm
The lateral area of the cylinder:
A = 2πrh
A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12
A = 226.2 cm²
Hence, the lateral area of the cylinder is 226.2 cm² .
To know more about lateral area of the cylinder here:
https://brainly.com/question/2904887
#SPJ3
I need help pls can someone help pls
= 23.5
hope it helps
can you please help me with this question?
-60 percent of the pizza have 12 slices. In total there are 216 slices in these pizza
-40 percent of the pizza have 10 slices. in total there are 120 slices of pizza
- there are 336 pizza slices
A bag holds 4 red marbles, 3 green marbles, 2 yellow marbles, and 1 blue marble. You pull one out without looking. What is the probability that you pull a marble that is not green?
Answer:
the probability of pulling a marble that is not green is 7/10
Answer:
- 7 / 10
- 70%
Step-by-step explanation:
4 red + 3 green + 2 yellow + 1 blue = 10 marbles
If you remove green marbles:
4 red + 2 yellow + 1 blue = 7 marbles
So the probability of not pulling a green marble is 7 out of 10.
Which equation can be represented using the number line?
A. 3/4 ÷ 1/8 =6
B. 1/8 ÷ 3/4 =6
C. 6 ÷ 3/4 =1/8
D. 6 ÷1/8 =3/4
The cost for 15 cases of oranges is $75. What is the cost for 1 case? *
Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically
Let O=oranges and Let G=Grapefruit
5O +8G=235
3O + 2G=85
To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.
Which would look like this
5O +8G=235
12O + 8G= 340
Then subtract the bottom from the top to get this
-7O=-105
Solving for O we divide both sides by -7, and end up with O=15
Plugging that value back into one of our original equations to solve for G we get this
3(15) + 2G= 85
45 +2G=85
2G=40
G=20
So 1 case of each altogether would equal 15+20, or $35.
Hope this helps have a awesome night/day❤️✨Step-by-step explanation:
Answer:
5
Step-by-step explanation: