Answer:
First you find the volume of the pyramid:
1. find the area of the base:
A= 15 x 5= 75
2. Multiply the Area of the rectangle by the height; h= 12 and si use the result by 3.
V= A x h /3 =. 75 x 12 = 900 /3
V= 300
3. If only 1/2 is filled, that means
V= 300/2= 150 in3 is filled and
150 in3 of marbles is needed to fill the container.
Answer: 150
Step-by-step explanation:
Which expression shows the result of applying the distributive property to 7(x + 11)?
Answer:
7x+77
Step-by-step explanation:
7(x+11)
=(7)(x+11)
=(7)(x)+(7)(11)
=7x+77
The equivalent expression from the distributive property is 7x+77.
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is 7(x + 11). From the distributive property, the expression will be calculated as:-
E = 7(x+11)
E=(7)(x+11)
E=(7)(x)+(7)(11)
E=7x+77
Therefore, the equivalent expression from the distributive property is 7x+77.
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Need a little with this math Question
Answer:
it would be the third one ( 0,3)
Evaluate using L'Hopital's rule:
[tex]\lim_{x \to 1^{+}} (x - 1)^{lnx}[/tex]
Answer:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]
Step-by-step explanation:
We are given:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)[/tex]
And we want to evaluate it using L'Hopital's Rule.
First, using direct substitution, we will acquire:
[tex]=(1-1)^\ln(1)}=0^0[/tex]
Which is indeterminate.
In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:
[tex]y=(x-1)^\ln(x)[/tex]
By taking the natural log of both sides:
[tex]\ln(y)=\ln(x)\ln(x-1)[/tex]
And by taking the limit as x approaches 1 from the right of both functions:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\lim_{x\to 1^+}\ln(x)\ln(x-1)[/tex]
Rewrite:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{\ln(x-1)}{\ln(x)^{-1}}[/tex]
Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}[/tex]
Simplify:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}\Big(\frac{-x\ln(x)^2}{-x\ln(x)^2}\Big)[/tex]
Simplify:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-\frac{x\ln(x)^2}{x-1}[/tex]
Now, by using direct substitution, we will acquire:
[tex]\displaystyle \Rightarrow -\frac{1\ln(1)^2}{1-1}=\frac{0}{0}[/tex]
Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-(\ln(x)^2+2x\ln(x))[/tex]
Finally, direct substitution yields:
[tex]\Rightarrow -(\ln(1)^2+2(1)\ln(1))=-(0+0)=0[/tex]
Thus:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=0[/tex]
By the Composite Function Property for limits:
[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\ln( \lim_{x\to 1^+}y)=0[/tex]
Raising both sides to e produces:
[tex]\displaystyle e^{\ln \lim_{x\to 1^+}y}=e^0[/tex]
Therefore:
[tex]\displaystyle \lim_{x\to 1^+}y=1[/tex]
Substitution:
[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]
In a bag of marbles, 1/2 are red, 1/4 are blue, 1/6 are green and 1/12 are yellow. You pick a marble without looking. What color marble are MOST likely to be choose?
Answer:
Its red becasue 1/2 is greater than all of them
The most likely color of the marble that will be chosen is red.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of red marbles in the bag=1/2
Number of blue marbles in the bag=1/4
Number of green marbles in the bag=1/6
Number of yellow marbles in the bag=1/12
Now,
To determine the most likely color of the marble that will be chosen, we need to calculate the probability of selecting each color. The probability of selecting a red marble is 1/2, the probability of selecting a blue marble is 1/4, the probability of selecting a green marble is 1/6, and the probability of selecting a yellow marble is 1/12.
To compare the probabilities, we need to find a common denominator. The common denominator for 2, 4, 6, and 12 is 12. So, we can rewrite the probabilities as:
Probability of selecting a red marble = 6/12
Probability of selecting a blue marble = 3/12
Probability of selecting a green marble = 2/12
Probability of selecting a yellow marble = 1/12
Since the probability of selecting a red marble is the highest among all the colors, it is the most likely color to be chosen.
Therefore, by probability the answer will be red marble.
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easy:
what is the surface area of the rectangular prism?
L times W times H= 3 cm times 2 cm times 4 cm
Answer:
l x w do the the math
Step-by-step explanation:
there
Answer:
u said free poinstt on that persons answer so Hi
Step-by-step explanation:
Write the following while number as it’s English word equivalent
Answer:
eight hundred seventy-five thousand six hundred eighty-seven
hope this helps :)
Please someone help me !!! Thanks
Answer:
hard to read, can you take another picture please?
Step-by-step explanation:
what's the value of x with 125° and 31°
the hypotenuse of a triangle is 17 yds long and leg one is 8yds long what is the length of leg two
Answer:
15
Step-by-step explanation:
8^2 + b^2 = 17^2
64 + b^2 = 289
289 - 64 = 225
square root of 225 = 15
Decide if each expression is equivalent to 2^6 or 4^4
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{2^6 = 2\times2\times2\times2\times2\times2}\\\mathsf{2\times2\times2\times2\times2\times2}\\\mathsf{2\times2=4}\\\mathsf{4\times4\times4}\\\mathsf{4\times4=16}\\\large\mathsf{16\times4=64}\\\mathsf{2^6 = \bf{64}}[/tex]
[tex]\mathsf{4^4=4\times4\times4\times4}\\\mathsf{4\times4\times4\times4}\\\mathsf{4\times4=16}\\\mathsf{16\times16}\\\mathsf{16\times16=256}\\\mathsf{4^4=\bf{256}}[/tex]
[tex]\boxed{\boxed{\mathsf{Answer: 64\neq 256}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
need help on this question please help
Answer:
52
Step-by-step explanation:
Give Brainlest
Help me please im stuck
add 3 to h, then subtract 9 from the result
Answer:
3h-9
Step-by-step explanation:
you can't fit it into an equation because 1, i dont a image of it and 2, you can't subtract a number from a coefficient/variable
si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?
Answer:
2
Step-by-step explanation:
por que el le dio 5 manzanas a jose y le quedaron 2
Hong Wu means what?
great ruler
leader of peasants
father of dynasties
vast military power
Answer:
Hong Wu means...
Step-by-step explanation:
The last one
Answer:
Its D
Step-by-step explanation:
Solve the system by substitution.
y = -3x +4
y = 2
Answer:
(2/3,2)
Step-by-step explanation:
3*2/3+4
simplify 2=2
Helpppppppp plssssssssssssss
Answer:
its the first one
Step-by-step explanation:
if the fractions have the same denominator, all you have to do is add the numerators across.
Answer:
A
Step-by-step explanation:
Slow down, take a breath.
All of the fractions have the denominator of 12 so you dont need to worry about finding a common denominator.
this is simple addition:
1+5+5=11, simple as that
i hope this helps u!
remember to stop and think,
pls give thx and brainliest
Solve for x 6 = 2( x + 0)
Answer:
x = 3
Step-by-step explanation:
Answer: x = 3
Step-by-step explanation:
Which simplified equation is equivalent to the equation shown below?
9+6x + 2x - 1 = 24
O A. 3x+3 = 24
B. 15x + 1 = 24
O C. 10+8x = 24
O D. 8+8x = 24
Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
Step-by-step explanation:
its too blurry I can't see the numbers
what is 7 divided by 10 as a fraction
The fractional form is 7/10.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
We have to divide 7 by 10.
The common factor for 7 and 10
7 = 7 x 1
and, 10= 2 x 5 x 1
so, there is only one factor common is 1.
Thus, the fraction is 7/10.
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24y-32 pls help ill give you 10 points
Answer:
8(3y-4)
hope this help :)
The heights of the three tallest boys in a fifth–grade class are 1.575 m, 1.526 m, and 1.474 m. Which is one of the three boys' heights rounded to the nearest hundredth of a meter?
answers
1.57 m
1.48 m
1.52 m
1.47 m
Answer:
D. 1.47
Step-by-step explanation:
Answer:
1.47
Step-by-step explanation:
Can someone pleaseeee help and if you’re correct I’ll give u brainlist!
Answer:
Rotations, Reflections
Step-by-step explanation:
This is going to be our answer because we know that a figure has some kind of rotation.
A rotation is when a shape can be rotated in some way. A reflection is a transformation representing a flip of a figure. Figures may be reflected in a point, a line, or a plane. When reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection map every point of a figure to an image across a fixed-line.
So our answer would be Rotations, Reflections!
Hope this helps!
If it is correct please mark as Brainllest!
Have a good Day!
3(x-10)+7=10 then x is?
Answer:
x = 11
Step-by-step explanation:
3(11 - 10) + 7 =
3 + 7 = 10
hope this helped
PLEASE HELP!!! 7TH GRADE PRE ALGEBRA!!
WILL MARK BRAINLIEST IF CORRECT!
The areas of the squares adjacent to two sides of a right triangle are shown below.
35
units
2
35 units
2
50
units
2
50 units
2
?
units
2
? units
2
What is the area of the square adjacent to the third side of the triangle?
units
2
2
squared
Answer:
50 units.
Step-by-step explanation:
What is "five thousand, six" in standard form?
Answer:
5,006 :)
Step-by-step explanation:
The vertex of the graph of g(x) = 3|x| + 4 is
Work out the ratio of 40 centimetres to 2 metres give your ratio in its simplest form
Given:
Ratio of 40 centimeters to 2 metre.
To find:
The ratio in its simplest form.
Solution:
We know that,
1 m = 100 cm
2 m = 200 cm
We have, ratio of 40 centimeters to 2 metre.
[tex]Ratio=\dfrac{40\ cm}{2\ m}[/tex]
[tex]Ratio=\dfrac{40\ cm}{200\ cm}[/tex]
[tex]Ratio=\dfrac{40}{200}[/tex]
[tex]Ratio=\dfrac{1}{5}[/tex]
[tex]Ratio=1:5[/tex]
Therefore, the required ratio in the simplified form is 1:5.
what is the solution in ³√3-x=³√2x
Answer:
3√3−x=3√2x
Graph each side of the equation. The solution is the x-value of the point of intersection.
x≈0.46567646
image of graph
Step-by-step explanation:
Hope it is helpful.....