A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows
Answer:
Step-by-step explanation:
1.1 L
Given:
A rectangular container that has:
a length of 30 cm,
a width of 20 cm, and
a height of 24 cm
It is filled with water to a depth of 15 cm.
When an additional 6.5 L of water are poured into the container, some water overflows.
Question:
How many liters of water overflow the container?
The Process:
Step-1: calculate the volume of rectangular container
The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.
Step-2: calculate the volume of water filled in the container to a depth of 15 cm
The volume of water filled is 9,000³ cm, then converted to 9 L.
Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.
The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.
The volume of water overflow =
Thus, the volume of water overflow of the container is 1.1 L.
For f(x) = 3x^3 - 9x^2 - 5x + 2
A. Find f(-1)
B. Find f(2)
Answer:
(3x2 + 3x - 1) • (x + 2)
Step-by-step explanation:
3.4 Polynomial Long Division
Dividing : 3x3+9x2+5x-2
("Dividend")
By : x+2 ("Divisor")
dividend 3x3 + 9x2 + 5x - 2
- divisor * 3x2 3x3 + 6x2
remainder 3x2 + 5x - 2
- divisor * 3x1 3x2 + 6x
remainder - x - 2
- divisor * -x0 - x - 2
remainder 0
Quotient : 3x2+3x-1 Remainder: 0
can someone please help with this problem please
Answer:
1360 seats sold
Step-by-step explanation:
total seats = 1600
total seats sold = 85% of 1600
= 85/100 × 1600
= 85 × 16
= 1,360 seats sold
In the diagram, rectangle ABCD is split in half by AC . What is the value of tan x?
Splitting the rectangle in half creates two right triangles
The value of tan(x) is 4/3
How to determine the value of tan x?To calculate tan(x), we make use of the following tangent ratio
tan(x) = Opposite/Adjacent
From the figure, we have:
Opposite = AD = 4
Adjacent = CD = 3
So, we have:
tan(x) = 4/3
Hence, the value of tan(x) is 4/3
Read more about tangent ratio at:
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Answer:
4/3
Step-by-step explanation:
La medida de cada ángulo interno de un polígono regular es 162º. Hallar el número de lados.
Número de lados=
Answer:
n = 20
Step-by-step explanation:
[ 180° ( n - 2 ) ] / n = 162°
180 ( n - 2 ) = 162 n
180n - 360 = 162n
18n = 360
n = 20
Multiply (2 – 7i)(–1 + 4i).
Answer:26 + 15i
Step-by-step explanation: 26+ 15i is the answer because i did the assignemnt
Jacori wants to estimate the proportion on seniors who will participate in graduation. He interviews a simple random sample of 40 of the 514 seniors at his school. He find that 34 are planning to participate. Is the normal condition for finding a confidence interval met?
Using the Central Limit Theorem, it is found that the condition is not met, as there are less than 10 failures.
What does the Central Limit Theorem states?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].
In this problem, 34 of the 40 seniors are planning to participate in graduation, hence:
np = 34.n(1 - p) = 6 < 10.Since there are less than 10 failures, the normal condition for finding a confidence interval is not met.
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Here are the types of sandwiches sold in a cafe last week.
Sandwiches
Tuna
Cheese
Chicken
Egg
56 tuna sandwiches were sold.
This was 40% of the total number of sandwiches sold.
(a) Work out the total number of sandwiches sold.
Answer:
(a) 140 sandwiches
Step-by-step explanation:
The total number sold can be found from the given relation:
56 sandwiches = 40% × total sold
__
Dividing by the coefficient of the variable, we find ...
total sold = (56 sandwiches)/0.40 = 140 sandwiches
The total number of sandwiches sold last week was 140.
You are building a ramp that must cover a horizontal distance of exactly 28 feet. The angle of the ramp from the ground is 8°. Determine the length of the ramp, in feet.
Please help and I'll mark brainliest
Answer:
the answer is 60
Step-by-step explanation:
brainliest please
Answer:
B.) I'm not 100% sure
Step-by-step explanation:
Hope this helped
Write the equation of the line perpendicular to y=5/6x+7/6 that passes through the point (-8,9) .
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{5}{6}}x+\cfrac{7}{6}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
so we can say that
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}[/tex]
so we're really looking for the equation of a line with a slope of -6/5 and that passes through (-8 , 9)
[tex](\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}[/tex]
Determine whether each of these sets is countable or un- countable. For those that are countably infinite, exhibit a one-to-one correspondence between the set of positive integers and that set. a. integers not divisible by 3 b. integers divisible by 5 but not by 7 c. the real numbers with decimal representations con- sisting of all 1s d. the real numbers with decimal representations of all 1s or 9s
Answer:
i do not understand the questions
Step-by-step explanation:
amina and cara take a math test amina scores 40 marks,cara scores 60 marks write the ratio of amin to cara's marks
-they are given $20 to share,they share the money in the ratio of their marks how much does amina recieves
Answer
8
Step-by-step explanation:
Ratio: 40 : 60
Total amount - $20
40/100 x 20
= 8 (ANS)
i hope my answer is correct if not i apologize.
Find the average of this set of numbers.16, 20, 30, 30
A) 14
B) 15
C) 25
D) none of the above
Answer:
D) none of the above
Step-by-step explanation:
To find an average, you add up all of the numbers and divide by how many numbers there were. for example, in this equation, the sum of all of the numbers was 96. then I divided 96 by 4(the amount of numbers shown)
Trigonometric equations
5sinx = 3sinx + square root of 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]
Let's solve for x ~
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) = 3 \sin(x) + \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:5 \sin(x) - 3 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:2 \sin(x) = \sqrt{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \sqrt{2} \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \: \sin(x) = \frac{1}{ \sqrt{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 45 \degree \: \: or \: \: \frac{\pi}{4} \: rad[/tex]
・ ．━━━━━━━†━━━━━━━━━．・
1. Jill bikes 15 miles in the morning and 17 miles in the afternoon. How many miles does she bike in all? Equation: miles 7 | Lesson 1
Add the two together:
15 + 17 = 32
total miles = 32
What is the value of a,c ?
Answer:
Step-by-step explanation:
Inscribed angle of diameter is 90°
⇒ ∠ACB = 90°
In ΔACB,
∠A + ∠ B + ∠ACB = 180° {Angle sum property of triangle}
a + 4a + 90 = 180
5a + 90 = 180
5a = 180 - 90
5a = 90
a = 90 ÷ 5
a = 19 -----------(I)
In ΔCOB,
OC = OB {Radius}
⇒ΔCOB is an isosceles triangle.
c = 4a {angles opposite to equal angles are conguent}
c = 4*19 {From (I)}
c= 76
A box of 800 paper clips costs $5.60. What is the unit price of the paper clips?
Answer:
70 cents
Step-by-step explanation:
To figure out how much 1 paper clip costs we must divide :)
5.60/800 = 70 cents
Have an amazing day!!
Please rate and mark brainliest!!
A patio in the shape of a trapezoid has vertices at (4, 1), (5, 4), (9, 4), and (9, 1).
A 4.1
B 5.4
C 9.4
D 9.1
NEED THIS ANSWER ASAP!!!
Answer: See attached
Step-by-step explanation:
Coordinate points come in (x, y) so we graph them as so.
(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.
(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.
(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.
(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.
How many gallons is equal to 48 cups?
Answer:
3 US galloons
If z7=4-3i, thenz7 is
Select one:
O-7
O 7
O 5
O -5
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
How to get z^7?
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
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solve this sum plsss urgent
1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.
2. absolute value is resembled using the formula : |x|
Here,
[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]
[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]
final answer: 3/11
3.
[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]
[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]
4.
Associative property can only be used with addition and multiplication
Smokers: Out of 780 smokers, 376 have been divorced.
Non-smokers: Out of 2855 non-smokers, 902 have been divorced.
a) Find the 95% confidence interval for the proportion of smokers that have been divorced.
b) Find the 95% confidence interval for the proportion of non-smokers that have been divorced.
c) What do the results above indicate about smoking and divorce?
For statictics of Out of 780 smokers, 376 have been divorced, Non-smokers: Out of 2855 non-smokers, 902 have been divorced, the 95% confidence interval for smokers and non-smokers is mathematically given as
95% confidence interval = (0.5352, 0.4462)95% confidence interval = (0.3424, 0.2894)53% increased risk of divorce for smokers.What is the 95% confidence interval for smokers and non-smokers?Generally, the equation for the Confidence interval is mathematically given as
p ± Z/2[p(1-p)]/n
Where
Z1/2=1-(0.05/2)
Z1/2=0.975
Read z table we have
Z score= 1.96
Hence
0.4907 ± 1.96 (0.4907)(1-0.4907)/485
0.4907±0.0445
Therefore
95% confidence interval = (0.5352, 0.4462)
b)
Z1/2 = 1- (0.05/2)
Z1/2 = 0.975
Z score= 1.96
0.3159 ± 1.96 (0.3159)(1-0.3159)/1184
0.3159±0.0265
Thereofore
95% confidence interval = (0.3424, 0.2894)
c)
In conclusion, The 95% confidence interval helps us read that 53% increased risk of divorce for smokers.
Read more about Confidence interval
https://brainly.com/question/17097944
Reflections on a Coordinate Plane
Answer:
The reflection coordinates of JKL would be:
J (3,7)
K (2,3)
L (-1,5)
The reflection coordinates of MNP would be:
M (8,-6)
N (2,-4)
P (8,-4)
Step-by-step explanation:
answer this question
9. The rational number that is equal to its negative is zero (0)
10. [tex]\sf \dfrac{1}{3} ( 6 \ * \ \dfrac{4}{3} )[/tex] can be written as [tex]\sf ( \dfrac{1}{3} *6)*\dfrac{4}{3}[/tex] using associate property.
associative property is when numbers are changed within the parenthesis with out the change in result.
formula of associative property : a(bc) = (ab)c
The area of the rectangle is
432 square units. If the width
is 24 units, what is the length?
Answer:
18 units
Step-by-step explanation:
Area = length * width (A = L * w)
So, in order to find the length when given the width and area, you have to divide the area by the width.
432 / 24 = 18
I hope this helps! Have a lovely day!! :)
Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
x = −6
none
Answer:
x=6 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
HURRYYYYY 100 POINTS The movie theater has 25 1/2 cups of popcorn. There are 15 people who ordered popcorn. Each person who ordered popcorn will receive the same amount. How much popcorn will each person get?
Answer:
1.7
Step-by-step explanation:
25.5 divided by 15
write the fractions in least to greatest
1/5 3/4 1/3 2/4 6/24
Answer: 1/5 6/24 1/3 2/4 3/4
Step-by-step explanation: bigger the denominator smaller the value.
How many solutions are there to equation square root x = -16