A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.
Answer:
Amount of water left in tank = 440 cm³
Step-by-step explanation:
Given:
Sides of tank respectively = 35 cm , 28 cm , 16 cm
Water level in tank = 2/5
Side of a cubic tank = 18 cm
Find:
Amount of water left in tank
Computation:
Volume level in rectangular tank = [2/5][35 x 28 x 16]
Volume level in rectangular tank = [2/5][15,680]
Volume level in rectangular tank = [31,360/5]
Volume level in rectangular tank = 6,272 cm³
Volume of cube = side³
Volume of cube = 18³
Volume of cube = 5,832 cm³
Amount of water left in tank = Volume level in rectangular tank - Volume of cube
Amount of water left in tank = 6,272 - 5,832
Amount of water left in tank = 440 cm³
SENORMATHWIZ AM I CORRECT HURRY I HAVE 5 MIN!!!!
Answer:
its actually c
Step-by-step explanation:
6*10=60+40=100
100[tex]\geq[/tex]100
Answer:
C
Step-by-step explanation:
In order to graph we must first simplify the inequality
40 + 10x ≥ 100
step 1 subtract 40 from each side
40 - 40 cancels out
100 - 40 = 60
we now have 10x ≥ 60
step 2 divide each side by 10
10x/10 = x
60 / 10 = 6
we're left with x ≥ 6
Now to graph
We will start with a closed circled on 6 and because the inequality sign is facing the varibale (x) the line will go in the direction of the right
Thus, the answer is C
A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours
A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?
Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?
Answer:
100degrees
Step-by-step explanation:
From the given diagram;
<2 = <6 (corresponding angle)
Since <6 + 80 = 180
<6 = 180 - 80
<6 = 100 degrees
Since <2 = <6, hence <2 = 100degrees
What is the location of X' when X is translated 3 units left and 9 units down?
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?
For each of the following variables, identify the type of variable (categorical vs. numerical).
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
1) (I) Categorical , and (II) Categorical
2) (I) Categorical , and (II) Numeric
3) (I) Numeric , and (II) Numeric
4) There is no correct match.
5) (I) Numeric , and (II) Categorical
Answer:
3) (I) Numeric , and (II) Numeric
Step-by-step explanation:
Numeric variable:
The variable assume number values.
Categorical values:
The variable assumes labels. Examples are yes/no, good/bad.
(I) Fuel economy (miles per gallon) of used car
(II) Number of auto insurance claims in a month
Both of these variables are numbers, none have labels, so they are both numeric. The correct answer is given by option 3).
Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.
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Answer:
6 2/3
Step-by-step explanation:
4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3
Timmy wants to buy a scooter and the price was $50. When he goes to the store the second time, he found that the price was marked down by 16%. What was the new price?
Answer:
kk
Step-by-step explanation:
Answer:
Step-by-step explanation:
20% of 50 is the same as writing 50 x 0.20, so we just do the math on that. Since it was marked down that much, we subtract the found 20% from the 50. The new price of the scooter is $40.
translate twice x is at most -29 into an inequality
The answer is 2x ≤ - 29
Step-by-step-explain
Twice x is at most -29 into an inequality
2x ≤ - 29
Thus, The answer is 2x ≤ - 29
-TheUnknownScientist
f (x) = (3x^4 + 1)^2 ?
Answer:
72x^7+24x^3 (finding the derivative using the chain and power rules)
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
Find the slope and the y- intercept of the line y=6x-3
Answer:
Slope: 6
Y-intercept: -3
Step-by-step explanation:
The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.
If this has helped please mark as brainliest
Answer:
m=6
Step-by-step explanation:
The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)
Answer:
0.02degrees
Step-by-step explanation:
Given the following
Length of the river (adjacent) = 1352km = 1352000m
Height of the source (opposite) = 453m
Required
angle of elevation theta
Using the SOH CAH TOA identity
tan theta = opposite/adjacent
tan theta = 453/1352000
tan theta = 0.0003351
theta = arctan(0.0003351)
theta = 0.02 degrees
Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
12x = (10)(11)
12x=110
x=110÷12
x=55/6
Clearly mark on the coordinate plane the location of the ordered pairs and
identify what quadrant they are in.
J (4,0) quadrant ________ and M(-2,-3) quadrant ___________
Answer:
Point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.
Step-by-step explanation:
A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.
Here, coordinate axes are [tex]x-[/tex]axis and [tex]y-[/tex]axis.
Let's first mark the points in the coordinate plane.
See the attached figure.
From the figure, it can be observed that point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.
In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
Answer:
Cosecant U = 53 / 28
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the ratio of sine U. This can be obtained as follow:
Angle U = θ
Opposite = 28
Hypothenus = 53
Sine U =?
Sin θ = Opposite / Hypothenus
Sine θ = 28 / 53
Thus,
Sine U = 28 / 53
Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:
Sine U = 28 / 53
Cosecant U =?
Cosecant U = 1 / Sine U
Cosecant U = 1 ÷ 28 / 53
Cosecant U = 1 × 53 / 28
Cosecant U = 53 / 28
1.
Which of the following is acute angle?
Help plzzzzz fast and no links
Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
HELP ME ‼️
$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)
Answer:
median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m
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Answer:
B. 9 cm
Step-by-step explanation:
The number of face masks Ray can make with 20 m of cord is ...
(20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks
To make one more mask, he will need to buy an additional amount of ...
(196 -195.12195)×(10.25 cm) ≈ 9.00 cm
Ray would need to add 9 cm of cord to his order.
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
The area of a rectangle is 93.6 square inches. If the length of one of its sides is 5.2 in. what is its perimeter?
the area of a rectangle is the product of its length and width.
Find cotθ if θ terminates in Quadrant III and secθ = 2
a. - (sqrt 3)/3
b. (sqrt 3)/3
c. - sqrt 3
d. sqrt 3
Answer:
we have
secθ = 2
[tex] \frac{1}{cos θ} [/tex]=2
Cosθ =[tex] \frac{1}{2 }[/tex]
[tex] \frac{b}{h }=\frac{1}{2 }[/tex]
b=1
h=2
p=[tex] \sqrt{2²-1} = \sqrt{3} [/tex]
again
Cot θ=[tex] \frac{b}{p }[/tex]
Cot θ=[tex] \frac{1}{ \sqrt{3}} [/tex]
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
It lies in Quadrant III cot is positive
Cot θ=[tex] \frac{\sqrt{3}}{3} [/tex]
b. (sqrt 3)/3
Here is my question it is worth 15 points!
Answer:
What is your question????
Answer:
you don't have a question here tho
Step-by-step explanation:
Sarah rode her bike 54km in 4hours what’s her average speed?
Answer:5.4 km
Step-by-step explanation:
look at pic will mark brainilest
Answer:The first one 18in.2
Step-by-step explanation:
what is the absolute value of the complex number −4−i 2√?
Answer:
-4-i2
The absolute value is the Square root of the real and Imaginary Parts of the Complex No
= √(-4)²+(-2)²
=√16+4
=√20
=2√5
A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
A = 12,043.8
Interest after 5 years = 12,043.8 - 9000
Interest after 5 years = 3,043.8
Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2
Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.
As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay
42−8.40=33.60
or $33.60.
Step-by-step explanation: