Answer:
19.5 cm
Step-by-step explanation:
the remaining height = 1200 /(12×8)
= 1200/96 = 12.5 cm
so, the height of the tank = 7+ 12.5 = 19.5 cm
[tex]\displaystyle\bf \boxed{V=abh \ ; \ 1dm^3=1litre=1000cm^3} \\\\a=12cm \ ; \ b=8 cm ;\: h_1=7 \; ; \ h_0=h_1+h_2=?\\\\abh_2=1,2litre=1,2dm^3\ = 1200cm^3\\\\ 8\cdot 12 h_2=1200\\\\h_2=12.5 cm\: then \\\\h_0= 7+12,5=19,5 \\\\Answer : the \ height \ of \ the \ tank \ is \ 19,5 cm[/tex]
Choose the correct answer from the given four options:In an AP, if a = 3.5, d = 0, n =101 ,then an will be
0
-3.5
3.5
1
Answer:
3.5
Step-by-step explanation:
Tn=a(n-1)d
Tn=3.5+(101-1)0
Tn=3.5+0
Tn=3.5
Lani had 2,380 Pesos in a savings bank. She withdrew 500 Pesos. Then deposited 680. Write an adittion sentence to represent the situation. Find the sum of the money
Answer:
2560 Pesos
Step-by-step explanation:
How to find the amount of money in the savings account:
2380 - 500 = 1880
1880 + 680 = 2560
The addition equation: 1880 + 680 = 2560
The sum of the money: 2560 Pesos
A group of 11 students participated in a quiz competition. Their scores are shown below:
Scores
7 8 3 6 3 14 4 3 2 3 5
Part A: Would a dot plot, a histogram, or a box plot best represent the range of scores of the students by quartiles. Explain your answer. (4 points)
Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)
[Part A] a histogram
A histogram would best represent the range of the scores by quartiles.
A dot plot would should how the data is distributed, but it does not easily show quartiles. A box plot, while like a histogram, only uses an interval scale. The histogram can show discrete data, and the data given is. What does discrete data mean? It means, in summary, that the data points are individually distinct.
Using this information, we can decide that a histogram is probably our best choice.
[Part B] see attached
First, we will label the y-axis "Frequency" and the x-axis "Score" to show which value is which. We will then label the axes with numbers to represent our data.
Next, we will put our data into the graph. See attached, I made this using www.socscistatistics.com/descriptive/histograms/.
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15 / √31 - 4
can someone just solve this for me please
PLEASE ANSWER ONLY IF YOU ARE SURE else I am out of the class
Answer:
[tex]\frac{15}{ \sqrt{31} - 4}} = \sqrt{31} + 4[/tex]
Step-by-step explanation:
[tex]\frac{15}{\sqrt{31} - 4}\\\\=\frac{15}{\sqrt{31} - 4} \times \frac{\sqrt{31} + 4}{\sqrt{31}+ 4} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ rationalizing \ the \ denominator \ ]\\\\=\frac{15( \sqrt{31} + 4 )}{(\sqrt{31})^2 - (4)^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ (a-b)(a+b) = a^2 - b^2 \ ]\\\\=\frac{15 ( \sqrt{31} + 4)}{31 - 16}\\\\=\frac{15 (\sqrt{31} + 4)}{15}\\\\= \sqrt{31} + 4[/tex]
Please help me ASAP... Will give brainliest
Answer:
52
Step-by-step explanation:
SA=2*4*3+2*4*2+2*3*2=24+16+12=52
Answer: The answer is 52.
Step-by-step explanation: Plug in the formula listed in red words.
2(4x3)+2(4x2)+2(3x2)
= 2(12)+2(8)+2(6)
= 24+16+12
= 52
Therefore, the surface area of the rectangular prism is 52.
Please help SUMMER SCHOOL
Question
(what are the slope and the y-intercept of the line shown in the graph)
Aimee wants to cut a piece of ribbon that is 5 1/4 meters long into lengths that are 1 1/8 meters long. How many full pieces can she cut?
Answer:
Four pieces.
Step-by-step explanation:
If Aimee has a piece of ribbon that is 5 1/4, or 5 2/8 meters long, then you will want to divide that main part into smaller parts of the other length.
1 1/8 meters multiplied by 1 is 1 1/8 meters. This still fits. 1 1/8 meters multiplied by 2 is 2 1/4 meters. This still fits. 1 1/8 meters multiplied by 3 is 3 3/8 meters, which still fits. 1 1/8 meters multiplied by 4 is 4 1/2 meters, which still fits. However, once you reach 5, or 5 5/8 total, then that is over the size of the whole.
So, four full pieces can be cut.
A furnace operates at 2,300°F. Before it
can be used to extract metal from an ore,
the temperature must be raised to
3,600°F. This takes place at a rate of
250°F per quarter hour. Which equation
gives the furnace temperature T after q
quarter hours?
A T= 2509 + 2300
B T = 250q + 3600
C T = 2300q + 250
DT= 3600q + 250
Multiply the rate per quarter hour by quarter hours: 250g. This then gets added to the starting temperature of 2300
The answer would be : A. T = 250g + 2300
which ordered plan is a solution of this equation -5x-3y=22
choices
-1,-4
-2,-4
-4,-1
-4,-2
Answer:
The correct answer is -2 , -4
Step-by-step explanation:
if x = -2 and y = -4
-5x-3y=22
so :
-5(-2)-3(-4)=22
10+12=22
22=22
end.
Help and explain pls and ty
Answer:
(g ○ f)(3) = 23
Step-by-step explanation:
Evaluate f(3) then substitute the value obtained into g(x)
f(3) = 2(3) + 4 = 6 + 4 = 10 , then
g(10) = 3(10) - 7 = 30 - 7 = 23
Hi pls help
Find the volume of this sphere.
Use 3 for T.
V ~ [?]in3
V =473
1 in
Answer:
volume of the sphere=4/3πr³
=4/3×3×1³ inch³
=4 inch³
A radar station located at ground level picks up a plane flying at a direct distance of 47,440 feet
away. If the angle of elevation from the station to the plane is 29°, what is the altitude of the plane?
Answer:
22,999 feets
Step-by-step explanation:
Given the solution diagram attached,
The altitude, h of the plane can be solved using trigonometry :
Using :
Sin θ = opposite / hypotenus
Opposite = h
Hypotenus = 47440
Sin 29 = h / 47440
h = 47440 * sin29
h = 22999.368
h = 22,999 feets
Write the equation of a circle whose center is at (6,-7) and whose radius is 4.
Answer:
(x - 6)² + (y + 7)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (6, - 7 ) and r = 4 , then
(x - 6)² + (y - (- 7) )² = 4² , that is
(x - 6)² + (y + 7)² = 16
the 28th term of an ap is -5,find the common difference if the first term is 31
Answer:
The common difference is -4/3.
Step-by-step explanation:
Recall that the direct formula for an arithmetic sequence is given by:
[tex]\displaystyle x_n=a+d(n-1)[/tex]
Where n is the nth term, a is the initial term, and d is the common difference.
We are given that the first term a is 31.
We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:
[tex]\displaystyle x_{28}=-5=(31)+d(28-1)[/tex]
Solve for d. Simplify:
[tex]-5=31+27d[/tex]
Thus:
[tex]\displaystyle 27d=-36[/tex]
Divide both sides by 27. Hence, the common difference is:
[tex]\displaystyle d=-\frac{36}{27}=-\frac{4}{3}[/tex]
Answer:
-4/3
Step-by-step explanation:
This question is equivalent to:
Find the slope of a line going through points (28,-5) and (1,31).
*Arithmetic sequences are linear. The common difference is the slope.
Any ways to find the slope line the points up and subtract vertically. Then put 2nd difference over 1st difference.
(28,-5)
(1,31)
---------subtracting
27, -36
So the slope or the common difference of this line or arithmetic sequence is -36/27. This reduces to -4/3.
Which is the ratio of triangles and to hearts
there is 22 hearts and
11 triangles
Answer:
triangles : hearts = 11 : 22 = = 11 : 2(11) = 1 : 2
If you put it in fraction form it's [tex]\frac{triangles}{hearts} =\frac{11}{22} =\frac{11}{2(11)}=\frac{1}{2}[/tex].
3 1/2 divided by 2 1/6=
Answer:
21/13
Step-by-step explanation:
3 1/2 = 7/2
2 1/6 = 13/6
7/2 divided by 13/6
7/2 X 6/13 = 42/26 = 21/13
Answer:
Step-by-step explanation:
3 1/2 = 7/2 and 2 1/6 = 13/6
7/2 divided by 13/6 = 7/2 x 6/13
42/26
21/13 is your final answer.
A tether ball is attached to the top of a 15-foot pole. Maddy holds the ball 3 feet off the ground and 4 feet from the pole. How long is the rope that the tether ball is attached to?
Answer:
15.52 ft
Step-by-step explanation:
the length of the rope can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√15² + 4²
= √225 + 16
=√ 241
= 15.52 ft
Answer:
the answer is b the square root of 160
Step-by-step explanation:
i did it on the assignment
given the following diagram, find the required measure.
Answer:
m<6=90
Step-by-step explanation:
the answer is 90 or D
Answer:
90
Step-by-step explanation:
If 1 = 140, then 2 = 40. 180-140=40
If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90
Linear angles = 180
Triangle Sum Theorem = Sum of all angles in a triangle = 180
In circle B with m \angle ABC= 74m∠ABC=74 and AB=12AB=12 units find area of sector ABC. Round to the nearest hundredth.
Answer:
92.99
Step-by-step explanation:
The value of area of sector ABC is,
Area = 93.05 square units.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
In circle B;
⇒ m ∠ABC = 74° and AB = 12 units
Hence, We can formulate;
The value of area of sector ABC is,
Area = (angle / 360) π r²
Area = (74/360) × 3.14 × 12²
Area = 93.05 square units.
Thus, The value of area of sector ABC is,
Area = 93.05 square units.
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3. The following are the scores you shot in five rounds of golf: 70,80,75,75,80. The variance is: A. 3.74 C. 14 B. 196 D. 70
Answer:
Option C.
Step-by-step explanation:
For a given set of N elements:
{x₁, x₂, ..., xₙ}
The mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the variance is given by:
[tex]v = \frac{(x_1 - M)^2 + (x_2 - M)^2 + ... + (x_n - M)^2}{N}[/tex]
Then for our set:
{70, 80 ,75, 75, 80}
We have 5 elements, then N = 5
The first thing we need to find is the mean.
[tex]M = \frac{70 + 80 + 75 + 75 + 80}{5} = 76[/tex]
Then the variance will be:
[tex]v = \frac{(70 - 76)^2 + (80 - 76)^2 + (75 - 76)^2 + (75 - 76)^2 + (80 - 76)^2}{5} = 14[/tex]
The correct option is C, 14.
You are a salaried employee paid semi-monthly. If you make 548,750 annually, what is
your estimated take home per pay?
If semi-monthly means every half a month, then my take home pay is 22864.58333
Answer:
548750/12
approximately 45729
PLZ HELP WILL GIVE BRAINLIEST
(sat prep) For the figure, which of the following is true?
I m∠1+m∠2=m∠6+m∠5 m
II∠1+m∠3=m∠6+m∠4
III m∠1+m∠3+ m∠6=m∠2+m∠4+m∠5
A I only
B I and II only
C II only
D II and III only
Florencia preparó un kilo 3/4 kg de dulce de leche y quiere dividirlo en porciones iguales en 5 frascos Cuántos kg de Dulce pondrá en cada frasco A cuántos gramos equivalen
Answer:
Each jar contains 150 g.
Step-by-step explanation:
Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?
Amount prepared = 3/4 kg
Total number of jars = 5
The amount in each jar is given by
[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]
find the area of the shape below
Answer:
34?
Step-by-step explanation:
I think 34 because 3×3 is equal to 9. 5×5 is equal to 25. If you add 9+25, you would get 34.
Answer:
24 cm²
Step-by-step explanation:
the area = ½× (3+3) × (5+3)
= ½× 6×8
= 3×8
= 24 cm²
pa help po pls pls pls
Answer:
acute angle and number 3 is obtuse
Step-by-step explanation:
In basketball, hang time is the time that both of your feet are off the ground during a jump. The equation for hang time is [tex]t = 2(\frac{2h}{32} )\frac{1}2[/tex] , where t is the time in seconds, and h is the height of the jump, in feet.
Player 1 had a hang time of 0.9 s. Player 2 had a hang time of 0.8 s. To the nearest inch, how much higher did Player 1 jump than Player 2?
Answer:
8 inches
Step-by-step explanation:
Given:
t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).
Step 1: First Player
0.9 = 2 * sqrt( 2h/32 ) / ^2 ( we will square both sides of equation )
0.81 = 4* 2h/32
0.81 = h/4
h 1 = 0.81 * 4 = 3.24 ft
Step 2: Second Player
0.8 = 2 * sqrt( 2h/32 ) /^2
0.64 = 4 * 2 h/32
h 2 = 0.64 * 4 = 2.56 ft
Step 3: Simplify
h 2 - h 1 = 3.24 - 2.56 = 0.68 ft
and since 12 in = 1 ft:
0.68 * 12 = 8.16 in ≈ 8 in.
help pls!!
2xy + 3xt - 7yt = 0
In the equation above, x and y are positive and
x< y. What is t in terms of x and y?
A) t= 1/2
B) t= 2xy / 3x - 7y
C) t= 2xy / 7y - 3x
D) t= xy / 2(y-x)
Answer:
B
Step-by-step explanation:
[tex]2xy + 3xt - 7yt = 0[/tex]
[tex]3xt - 7yt = - 2xy[/tex]
Factor out t
[tex]t(3x - 7y) = - 2xy[/tex]
Divide by 3x-7y
[tex]t = - \frac{2xy}{3x - 7y} [/tex]
But since x and y are positive, the answer is positive
[tex]t = \frac{2xy}{3x - 7y} [/tex]
Someone tell me where everyone is going right please !!
Answer:
Step-by-step explanation:
( 2 , 3 ) , ( 6 , - 5) , ( - 1 , 3 ) - is a function
( 1 , 9 ) , ( -3 , - 2 ) , ( 1 , - 4 ) - is a function
( 7 , - 4 ) , ( 0 , 9 ) , ( 2 , - 2 ) - is a function
( 0 , 3 ) , ( 0 , 7 ) , ( 4 , 0 ) - is a function
( -6 , 5 ) , ( -5 , 6 ) , ( 8 , 2 ) - is a function
IM AM SO CONFUSED
Find the solution set.
8x2 - 2x – 1=0
Separate the two values with a comma.
Hello,
Answer (1/2,-1/4)
[tex]8x^2-2x-1=0\\\\8x^2-4x+2x-1=0\\\\4x(2x-1)+2x-1=0\\\\(2x-1)(4x+1)=0\\\\sol=\{\dfrac{1}{2} ,-\dfrac{1}{4} \}\\[/tex]
Solving Linear Systems by Elimination Solve each of the following linear systems by elimination, and check the solution a) 0.1a -0.4b = 1.9
0.4a +0.5b = -0.8
Answer:
a = 3 b = -4
Step-by-step explanation:
4 (0.1a -0.4b) = (1.9) 0.4a - 1.6b = 7.6
0.4a - 1.6b = 7.6
- 0.4a +0.5b = -0.8
-2.1b = 8.4
b = -4
0.4a + 0.5(-4) = -0.8
0.4a - 2 = -0.8
0.4a = 1.2
a = 3