Answer:
eqn : 9 x 9 x h = 1620
h = 1620 / 81 = 20
Step-by-step explanation:
The second group of trainee astronauts are all sitting around the table, waiting to start their first day of training.
From the clues given below, can work out where everyone sits?
Note: Seat 1 is next to Seat 2 and Seat 8, etc. Seat 5 is across from Seat 1, and Seat 7 is across from Seat 3, etc. Seat 2 is a higher seat number that Seat 1, etc.
Puzzle Table
1. Harvey has a higher seat number than Jennie.
2. Peter is across from Harvey.
3. Neither Joyce nor Lia is in seat 8.
4. Rick is across from Kenny, and Rick is also next to Joyce.
5. Lia is next to Kenny.
6. Jennie is at Seat 4 and next to Harvey.
7. Peter is next to Lia.
8. Mark has the remaining seat.
Answer:
Seat 1: PeterSeat 2: LiaSeat 3: KennySeat 4: JennieSeat 5: HarveySeat 6: JoyceSeat 7: RickSeat 8: MarkStep-by-step explanation:
From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)
Seat 4: JennieSeat 5: HarveyFrom Rule 2: Peter is across from Harvey.
Since Seat 5 is across from Seat 1
Seat 1: PeterFrom Rule 7: Peter is next to Lia.
Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.
Seat 2: LiaBy Rule 5: Lia is next to Kenny, therefore:
Seat 3: KennyFrom Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.
Seat 7 is across from Seat 3, therefore:
Seat 7: RickSince Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)
Seat 6: JoyceTherefore, we have:
Seat 1: Peter
Seat 2: Lia
Seat 3: Kenny
Seat 4: Jennie
Seat 5: Harvey
Seat 6: Joyce
Seat 7: Rick
Since Mark has the remaining seat, Mark is on Seat 8.
If a patient needs a 30-day supply of tablets four times a day, how many tablets will the patient need for discharge?
This question is incomplete
Complete Question
If a patient needs a 30-day supply of tablets and takes two tablets four times a day, how many tablets will the patient need for discharge?
Answer:
240 tablets
Step-by-step explanation:
From the question we are told the patient needs a 30 days supply of drugs.
This means the patient will be discharged after 30 days
We are told the patient takes 2 tablets , four times a day
This means
One day = 2 tablets × 4 = 8 tablets
Hence, if:
1 day = 8 tablets
30 days = unknown so we represent by Y
We cross multiply
1 × Y = 8tablets × 30days
Y = 240 tablets
Therefore, the patient would need 240 tablets for discharge.
what is the y-intercept, maximum point and the x intercepts of f(x)= -x^2÷1 +4
Answer:
maximum point: (0, 4)
x-intercepts: (2, 0), (-2, 0)
y-intercepts: (0, 4)
Can anyone help me out please
Answer:
5/23
Step-by-step explanation:
if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23
Hope this helps!!! :)
Find the center, vertices, and foci of the ellipse with equation 3x2 + 7y2 = 21.
Answer:
Center [tex]= (0,0)[/tex]
Vertices [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].
Step-by-step explanation:
The standard form of an ellipse is
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex] ...(1)
where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.
[tex]c=\sqrt{a^2-b^2}[/tex]
The given equation of ellipse is
[tex]3x^2+7y^2=21[/tex]
Divide both sides by 21.
[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]
[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a^2=7,b^2=3[/tex]
[tex]a=\sqrt{7},b=\sqrt{3}[/tex]
Now,
[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]
Therefore,
Center [tex]= (0,0)[/tex]
Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]
Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].
Can someone please help me ASAP
Answer:
A) 144 FT B) 300
Step-by-step explanation:
{ Area= L x W
Area= 12 x 12
Area= 144 }
{ 6x2=12
12x25= $300
Use the triangle below, set up and solve an equation in order to find the
value of x. (Type the number only).
Answer:
27.4
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
x+ 34.6+118 = 180
Combine like terms
x+152.6 = 180
Subtract 152.6 from each side
x +152.6-152.6 = 180-152.6
x =27.4
_________________________________
Solution,
x+118+34.6=180°( sum of angle in traingle)
or,x+152.6=180
or,X=180-152.6
X=27.4
The value of X is 27.4 °
hope it helps
Good luck on your assignment
_________________________________
Please answer this ASAP!!
Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
Step-by-step explanation:
Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.
From the given figure of trapezium, we have
a = 10 m
b = 16 m
h = 7.6 m
Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]
Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].
Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]
[tex]= 52[/tex] litres
Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]
then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]
Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]
Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]
25 POINTS!!!!Which of the following statements are true? Select all that apply.
A + B = B + A
C - D = D - C
B + 0 = B
E - C = E + (-C)
|A| = |E|
Answer:
A+B=B+A
B+0=B
E-C=E+(-C)
Step-by-step explanation:
Answer:
A) A+B = B+A
C) B+0= B
D) E-C= E+(-C)
Step-by-step explanation:
Find the surface area.
Answer:
A≈896.81
Step-by-step explanation:
This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.
P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!
Please help with the question (it is the image lol) thanks!
Answer:
Volume of the liquid left in the container will be 80 ml.
Step-by-step explanation:
Two containers A and B having equal volumes of the liquid has been shown in the figure attached.
Let the volume of the liquid in each container = x ml
120 ml of the liquid was poured in container B from container A.
Volume of liquid in container B = 4 × Volume of the liquid in container A
x + 120 = 4(x - 120)
x + 120 = 4x - 480
4x - x = 480 + 120
3x = 600
x = 200 ml
Volume of the liquid left in container A = 200 - 120
= 80 ml
Therefore, volume of the liquid left in the container A will be 80 ml.
Select solutions that satisfy the inequality (picture)
Remove the parentheses and simplify the expression.
2(2y-5)-8
Answer:
4y-18
Step-by-step explanation:
2(2y)+2(-5)-8
4y-10-8
4y-18
Hope this helps!
Answer:
2x2y - 2x5 -8
4y - 10 -8
4y -18
find the greatest common factor (3x^4y^2+12x^2y^3+6x^3y4)
Answer:
3x^2y^2
Step-by-step explanation:
the gcf is 3x^2y^2 since it is the common factor in all of the terms
A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?
Answer:
30 3/8 pounds of shortening used.
Step-by-step explanation:
20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625
120- 89.625 = 30.375 pounds
0.375 as a fraction = 3/8 + 30
Therefore the total shortening used = 30 3/8 pounds
How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375
We can do this by multiplying the 0.375 x 2 = 0.750 = 3/4
Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.
1/2 of 3/4 = 3/8
3/8 x 2 = 0.75
0.75 /2 = 0.375
What is 1/7
as a decimal?
Give your answer rounded to 2
decimal places.
1/7 as a decimal is 0.1428571429
But if you round that to the nearest 2 decimal place it is 0.14
I really hope this helps.
1. At a leather shop, 50 leather jackets were sold in February. The shop keeper at the store wants to encourage the sales team to sell more leather jackets by giving all the sales team members a bonus if the number of leather jackets sold increases by 30% in March. How many leather jackets must the sales team sell in March to receive the bonus?
Answer:
65 shirts.
Step-by-step explanation:
50 is the amount of shirts sold in February.
30% increase=1.3
1.3(50)
65
They need to sell 65 shirts in March to get the bonus.
Jesse is in a lab examining sizes of skin cells. Cell A has a diameter of 5.8 × 10 ^-9 mm. Cell B has a diameter of 4.2 × 10 ^-7 mm.
How much longer is the diamter of Cell B than Cell A?
A. 1.6 x 10 ^-2
B. 1.6 x 10 ^-16
C. 4.14 x 10 ^-7
D. 4.14 x 10 ^-9
Answer:
The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A
Step-by-step explanation:
Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]
Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]
Now we are supposed to find How much longer is the diameter of Cell B than Cell A?
So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]
Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]
So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]
So, Option C is true
Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A
A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5
Answer:
A, D, C, B.
5/9, 3/5, 2/3, 3/4.
Step-by-step explanation:
Covert to decimals:
5/9 = 0.555...
3/4 = 0.75
2/3 = 0.666...
3/5 = 0.6
So it is 5/9, 3/5, 2/3, 3/4.
2 root 2 minus root 2 is equal to
Answer:6
Step-by-step explanation:
Answer:
Here is the answer mate.....
Step-by-step explanation:
2 root 2 minus root 2 is equal to 0.
If you have question why then follow these steps....
√2-2
√0
anything root o means 0..
so, the answer is zero...
Hope it helps ☺️
The rise is the
change in a line. The run is the
change in a line.
horizontal
vertical
Answer:
Horizontal
Step-by-step explanation:
Answer:
1- vertical
2-horizontal
Step-by-step explanation:
Read the defitions! Hope this helped!
Need help Asap plz and thank you!
Given m
At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.
280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$
Answer:
$163
Step-by-step explanation:
Happily, they've given us the equation already.
280 + 5(–5) + (–42) + 2(75) + (–200)
280 - 25 - 42 + 150 - 200
Keep in mind your negative signs!
280 - 67 + 150 - 200
280 - 67 - 50
213 - 50
= $163
This can all be done on the calculator, but it can also be done mentally or written out, as I've done.
Answer:
Crystal had a balance of $163 at the end of the week
Step-by-step explanation:
hope this helped pls give brainliest!
Which is an equation of the line with slope –3 and passes through (2, –1)?
Question 8 options:
a)
3x + y = 5
b)
–3x + y = 5
c)
y = –3(x + 5)
d)
y = 5x – 3
Convert -3(x+2)^2-10 into standard form.
Please help me
Answer:
Step-by-step explanation:
someone plz help me!!!!!!!!!
Answer:
2 1/4
Step-by-step explanation:
=−514+712
Rewriting our equation with parts separated
=−5−14+7+12
Solving the whole number parts
−5+7=2
Solving the fraction parts
−14+12=?
Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.
LCD = 4
−14+24=14
Combining the whole and fraction parts
2+14=214
What is the answer? To this question
Answer:
x = 5
Step-by-step explanation:
In a parallelogram, the diagonals bisect each other.
Therefore,
4x - 5 = 3x
4x = 3x + 5
4x - 3x = 5
x = 5
If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°
Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
Help!!
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
11 grams of drink mix per ounce of water
Step-by-step explanation:
I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.
Answer:
11 gm mix : 1 ounce water
Step-by-step explanation:
We find 1/7 of 19.75gm = 2.75
Then we multiply by 4 = 11
We have found our ounce rate to be 11 gm : 1 ounce water