Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Find the volume of the cone
Either enter an exact answer or answer in terms of Pi or use 3.14 for Pi and round your final answer to the nearest hundredth
Answer:
12pi
Step-by-step explanation:
The area of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case:
[tex]\dfrac{1}{3}\pi \cdot 3^2 \cdot 4=12\pi[/tex]
Hope this helps!
The student body has 190
students. In how many ways
can it elect a president, vice-
president, secretary?
Answer:
6751080 different ways
Step-by-step explanation:
President: 190 choices
Vice president 189 choices
secretary: 188 choices
190*189*188 =6751080 different ways
How would you identify a perfect square trinomial? Give an example.
Answer:
"Perfect square trinomials" are quadratics which are the results of squaring binomials. (Remember that "trinomial" means "three-term polynomial".)
For instance:
(x + 3)2
= (x + 3)(x + 3)
= x2 + 6x + 9
...so x2 + 6x + 9 is a perfect square trinomial.
The density of oxygen is 0.001332 gram per cubic centimeter. Represent 0.001332 in
scientific notation.
Answer:
1.332 × 10-3
Step-by-step explanation:
you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)
Please help me with this!!
Answer: Second picture, B
Step-by-step explanation:
Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.
We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.
The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).
The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.
Answer:
C
Step-by-step explanation:
[tex]sin^{-1} x = csc x\\[/tex]
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
[tex]csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}[/tex]
hypotenuse is 5 and opposite is 8,3 -----> third option
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
A, C
Step-by-step explanation:
10x+ 4y = -2
5x -2y = 2
We can multiply the first equation by 1/2
5x+2y = -1
And then add the equations to eliminate y
5x+2y = -1
5x -2y = 2
--------------------
10x +0y = 1
Adding the equations will not eliminate any variables
15x +2y =0
Multiply the bottom equation by 2 and then subtract
10x -4y = 4
10x+ 4y = -2
-10x +4y = -4
------------------
0x +8y = -6 will eliminate x
Answer:
Answer A, C
Step-by-step explanation:
When multiplying the bottom equation by two, you get 10x-4y=4
After subtracting 10x-4y=4 and the top equation you will be able to eliminate the variable x.
You can also also get the same result and eliminate a variable with answer A.
Simplify:
12 + (-38) + 27
Answer:
1
Step-by-step explanation:
For this problem, the negative sign on the 38 stays. You can remove the parentheses and addition sign and subtract 38 from 12.
12 + (-38) + 27
12 - 38 + 27
-26 + 27
1
If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).
Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.
What is BODAMAS?
The full form of BODAMAS is" bracket, orders, divisions, multiplication, addition, subtraction. Any calculation follows the order of BODAMAS rule".
According to the question,
12 + (-38) + 27
= 12 - 38 + 27 [Removing the Parentheses]
= 26.
Hence, Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.
Learn more about BODAMAS here
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don’t really quite understand this question.
Answer:
D.
Step-by-step explanation:
Because its three times as much as 42 so its opposite of multiplication so its division with is also 3x=42 and to solve that you divide 3x by 3 and just get x then you divide 42 and 3 and u get your answer( im not gonna do the math lol)
Which value in scientific notation is the best estimate for 0.0000058102?
A. 5 x 10-5
B. 6 x 10-5
C. 5 x 10-6
D. 6 x 10-6
Answer:
D
Step-by-step explanation:
0.0000058102 can be rounded to 0.000006.
5 x 10^-5 = 0.00005
6 x 10^-5 = 0.00006
5 x 10^-6 = 0.000006
6 x 10^-6 = 0.000006
The closest answer to the estimate is option D.
Answer:
ggttttttttttttt
Step-by-step explanation:
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has pmf. Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
Complete Question:
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).
Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
NOTE: The pmf is shown in the file attached
Answer:
Expected number of batches, E(X) = 2.0 batches
Variance of batches, V(X) = 0.8 batches²
Expected number of pounds left, E(Y) = 90 lb
Variance of pounds left, V(Y) = 20 lb²
Step-by-step explanation:
The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X
The expected value of X, E(X) can be calculated using the formula:
[tex]E(X) = \sum x p(x)[/tex]
E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)
E(X) = 0.3 + 1 + 0.3 + 0.4
E(X) = 2.0
Expected number of batches, E(X) = 2.0 batches
The variance of X, V(X) can be calculated using the formula:
[tex]V(X) = E(X^2) - [E(X)]^2\\ E(X^2) = \sum x^2 p(x)\\ E(X^2) = (1^2 *0.3) + (2^2 * 0.5) + (3^2 * 0.1) + (4^2 * 0.1)\\ E(X^2) = 0.3 + 2 + 0.9 + 1.6\\ E(X^2) = 4.8\\V(X) = 4.8 - 2^2\\V(X) = 0.8[/tex]
Variance of batches, V(X) = 0.8 batches²
Y = 100 - 5X
E(Y) = E(100 - 5X)
E(Y) = 100 - 5E(X)
E(Y) = 100 - 5(2)
E(Y) = 90 lb
Expected number of pounds left, E(Y) = 90 lb
Variance of the number of pounds left:
V(Y) = V(100 - 5X)
V(Y) = V(100) + V(-5X)
V(100) = 0
V(Y) = (-5)² V(X)
V(Y) = 25 * 0.8
V(Y) = 20
Variance of pounds left, V(Y) = 20 lb²
The question is incomplete. Here is the complete question.
A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.
x 1 2 3 4
P(x) 0.3 0.5 0.1 0.1
Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.
Answer: E(X) = 2
V(X) = 0.8
Expected number of pounds left = 90
Variance of the number of pounds left = 20
Step-by-step explanation: Since this is a probability distribution, to determine E(X), which is a measure of central tendency:
E(X) = ∑[x*P(x)]
E(X) = 1*0.3+2*0.5+3*0.1+4*0.1
E(X) = 2
V(X) is the variance for this type of distribution and is calculated as:
V(X) = ∑{[x - E(x)]²*P(x)} = (1-2)²*0.3+(2-2)²*0.5+(3-2)²*0.1+(4-2)²*0.1
V(X) = 0.8
The number of pounds left after the next costumer's order is shipped is given by the equation: Y = 100 - 5X
The expected number is equal to E(Y), which is this case is:
E(Y) = E(100 - 5X)
One property of E(X) is that if a and b are constants:
E(aX+b) = aE(X) + b
Taking that a = - 5 and b = 100:
E(100 - 5X) = (-5).2 + 100
E(Y) = 90
The variance of the number of pounds left is given by:
V(Y) = V(100 - 5X)
For variance, the property is: if a and b are constants:
V(aX+b) = a²V(X)
V(100 - 5X) = (-5)²*0.8
V(Y) = 20
Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s Work Tamar’s Work (40 + 42) squared = 58 squared. 82 squared = 3,364. 6,724 not-equals 3,364. The triangle is not a right triangle. 42 squared + 40 squared = 58 squared. 1,764 + 1,600 = 3,364. 3,364 = 3,364. The triangle is a right triangle.
Which best describes the accuracy of their solutions?
A. Holly is correct.
B. Tamar is correct.
C. Neither Holly nor Tamar is correct.
D. Both Holly and Tamar are correct.
Answer:
B. Tamar is correct.
Step-by-step explanation:
A triangle can be proven as a right angle triangle if it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as
c² = a² + b²
where
c = hypotenuse sides
a and b can be any of the opposite or adjacent sides.
The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides
c² = a² + b²
58² = 40 ² + 42²
3364 = 1600 + 1764
3364 = 3364
Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.
Answer:
B
Step-by-step explanation:
Which of the following is the radical expression of 5
a_
7
Answer
[tex]\sqrt[7]{a^{5} }[/tex] is the correct answer to the given question.
Step-by-step explanation:
The given question is incomplete the options are missing also the question is also not well described the question is [tex]a^{5/7}[/tex].
[tex]a^{5/7}[/tex]
There is property when we convert any power number into the radical form the denominator of the power number is shifted to the order of the radical number .Here 7 is denominator in the power of [tex]a^{5/7}[/tex] so 7 is shifted to the order of the radical number .So it can be written as [tex]\sqrt[7]{a^{5} }[/tex] is the correct answer.
definition of sas triangle
Answer:
SAS (side, angle, side)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Alguien que tenga la caridad de explicarme como se hace esto o que me de la respuesta
Answer:
El angulo mide 150 grados.
Step-by-step explanation:
I have attached the work to your problem // Agregué una foto con tu trabajo.
Please see the attachment below // Mirala abajo.
I hope this helps! // Espero que te ayude mi foto. Saludos de Colombia.
a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.
Answer:
Cylinder Volume = π • r² • height
Volume = PI * .210 m^2 * 5
Volume = 0.6927211801 cubic meters
Wood has a mass of 693 / cubic meter
mass = 0.6927211801 * 693 = 480.06 kilograms
Step-by-step explanation:
help plz!!!!!!!!!!!!!!!!!!!!
2: V = 330 m^2
3: V = 144 m^2
Step-by-step explanation:
All the figures shown are rectangular prisms.
You can find the volume of a rectangular prism through this formula:
[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height.
To find the volume of a composite figure, find the volume of each smaller figure, then add them together.
Question 2: 330 m^2
V = 3 * 5 * 6 (smaller prism)
V = 8 * 5 * 6 (larger prism)
smaller prism = 90 m^2
larger prism = 240 m^2
240 + 90 = 330 m^2
Question 3: 144 m^2
V = 3 * 4 * 2 (small prism 1)
V = 3 * 4 * 2 (small prism 2)
V = 12 * 4 * 2 (large prism)
small prisms: 24 m^2
large prism: 96 m^2
24 + 24 + 96 = 144 m^2
What is the equation of the line of best fit that Frank drew?
A: Y = -3x + 12
B: Y = -3x + 16
C: Y = 1/3x +12 (/ means fraction)
D: Y = 1/3x + 16
Answer:
The answer is actually not an option here. The answer is y=-1/3x+16
Given that BD is both the median and altitude of ABC, congruence postulate
SAS is used to prove that ABC is what type of triangle?
Answer:
isosceles
Step-by-step explanation:
An isosceles triangle is one with two equal-length sides. The correct option is D.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.
Learn more about Isosceles Triangle:
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Find the perimeter and the area of the composite shape..
Answer:
I think that it is 39.2 but i'm not 100% sure
Step-by-step explanation:
Hope this helps!
25x120 can someone help me please
Answer:
Your correct answer is 3,000
Step-by-step explanation:
25
x 120
-------------
3,000
25 * 12 = 300
Now, you add an extra zero to get your answer.
Answer:
3000
Step-by-step explanation:
25 * 120
120
25
-------
600
240
3000
25 * 12 = 300
then add zero to end
3000
△ABC has vertices at A(1, 1), B(2, 3), and C(3, 1). △DEF has vertices at D(–1, 1) , E(–2, 4), and F(–3, 1). Is △ABC congruent to △DEF? Choose the correct response.
Answer:
sorry I don't know understand
what is the measure of the missing angle?
Answer:
82 degrees
Step-by-step explanation:
sum of the angles of the triangle = 180 °
first angle is 41°
second one is : 180-123 = 57°
then the measure of the missing angle(x) is : 57+41 +x = 180
x= 180-98 = 82°
Graph the line that represents a proportional relationship between y and x where the unit rate of change of y with respect to x is 4/3. In other words, a change of 1 unit in x corresponds to a change of 4/3 in y
Answer:
you can do 4/3 x 1 if I get it wrong im sorry
Please help me :(!!!!!!
Answer:
A =101.956 cm^2
Step-by-step explanation:
The area of the parallelogram is given by
A = bh
A = 14.2 * 7.18
A =101.956 cm^2
Answer:
101.956
Step-by-step explanation:
Area equals bh
7.18(14.2)
do all cells come for preexisting bones
The generally accepted parts of modern cell theory include: All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.
hope it helps!!!! :]
If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay? In terms of simple interest.
Answer: $3.20
Step-by-step explanation:
SI = p *r * t
= 5.93 * 0.06 * 9
= 3.20
Answer:
$3.20
Step-by-step explanation:
Using Simple Interest = (principal) * (rate) * (time), we get:
= 5.93 * 0.06 * 9
= $3.20
Hope this helps!
Which of the binomials below is a factor of this
trinomial?
x²+x-12
O A. x + 6
O B. X-6
O C. x+4
O D. X-4
Answer:
C
Step-by-step explanation:
The answer is X+4
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Please help! Correct answer only, please! I need to finish this assignment this week. ;; Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.
Answer:
B
Step-by-step explanation:
[tex]x^{3} =216[/tex]
Answer:
x = ±6
Step-by-step explanation:
=> [tex]x^3 = 216\\[/tex]
Taking cube root on both sides
=> x = ±6
(a) According to the Ministry of Health, the height of Guinean travellers who were quarantined in Tamale for the novel coronavirus were normally distributed about a mean of 160cm and a standard deviation of 8cm. Find the probability that a traveller selected at random has (a) Height between 148cm and 175cm (b) Height above 164cm (c) Height below 179cm
Answer:
a) [tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
b) [tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
c) [tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
[tex]P(z<2.375)= 0.991[/tex]
Step-by-step explanation:
Let X the random variable that represent the heights of Guinean travels , and for this case we know the distribution for X is given by:
[tex]X \sim N(160,8)[/tex]
Where [tex]\mu=160[/tex] and [tex]\sigma=8[/tex]
Part a
We are interested on this probability
[tex]P(148<X<175)[/tex]
We can ue the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Using this formula we got:
[tex]P(148<X<175)=P(\frac{148-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{175-\mu}{\sigma})=P(\frac{148-160}{8}<Z<\frac{175-160}{8})=P(-1.5<z<1.875)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(-1.5<z<1.875)=P(z<1.875)-P(z<-1.5)= 0.970-0.0668= 0.9032[/tex]
Part b
[tex]P(X>164)=P(\frac{X-\mu}{\sigma}>\frac{164-\mu}{\sigma})=P(Z>\frac{164-160}{8})=P(z>0.5)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z>0.5)=1-P(z<0.5)= 1-0.691= 0.309[/tex]
Part c
[tex]P(X<179)=P(\frac{X-\mu}{\sigma}<\frac{179-\mu}{\sigma})=P(Z<\frac{179-160}{8})=P(z<2.375)[/tex]
And we can find this probability with this difference using the normal standard distribution or excel:
[tex]P(z<2.375)= 0.991[/tex]