Answer:
Here are the formulas
Cube/Rectangular Prism:
Volume = Length*width*height
Surface area = 2(wl+hl+hw)
Lateral area= Area of vertical faces
Base area = length*width
Regular hexagonal prism:
Volume : (3sqrt3/2)*a^2*h
Surface Area = 6ah+3sqrt(3)a^2
lateral area: 6ah
base area = 3sqrt(3)s^2/2
Triangular prism
Volume: The volume of a triangular prism can be found by multiplying the base times the height.
Surface area: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.
Etc.
A voter receives a call in which the caller claims to be conducting a national opinion research poll. The voter is asked if his or her opinion about a congressional candidate would change if he or she knew that the candidate once had a car crash while driving under the influence of alcohol. Identify and explain at least one source of bias in the study described. Then suggest how the bias might have been avoided?
a. The data do not seem to support the claims being made by the study. The researcher should consult an expert to make sure that he or she is correctly interpreting the data.
b. The study does not appear to have a well-defined goal. The researcher should determine his or her goal and precisely define the variables of interest.
c. Since the sample is self-selected, there is a definite participation bias in this study. The researcher should randomly select the subjects of the study.
d. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Answer:
The correct answer is D. The wording of the question is biased to strengthen opposition against a particular candidate. The question wording should be changed to be more neutral.
Step-by-step explanation:
The phrasing and setup of the poll will produce responses that are biased against the candidate. The setup of the poll should be changed to avoid influencing the opinions of the respondents.
What value of b will cause the system to have an infinite number of solutions?
A system of equations. y equals 6 x plus b. negative 3 x plus StartFraction one-half EndFraction y equals negative 3.
A coordinate grid with a line labeled negative 3 x plus StartFraction one-half EndFraction y equals negative 3 and passes through the points (1, 0) and (0, negative 6).
-6
-3
3
6
Answer:
-6 on edge
Step-by-step explanation:
The value of b that causes the system of equations to have infinite solutions will be: b = -6
System with infinite solutions:A system of linear equations will have infinite solutions only when both equations represent the same line.
In this case our equations are:
y = 6x + b
-3x + (1/2)*y = -3
So the value of b needs to be such that these two equations are equal
Let's isolate y in the second equation:
(1/2)*y = -3 + 3x
y = -3*2 + 3x*2 = -6 + 6x
Then we must have:
6x - 6 = 6x + b
-6 = b
Thus, the value of b that causes the system to have infinite solutions is b = -6.
If you want to learn more about systems of equations, you can read:
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Which expression is equivalent to 4+2(1+3x)
Answer:
I'm glad you asked!
Step-by-step explanation:
OK,let's simplify the number for a equivalent expression.
[tex]4+2(1+3x)[/tex]
Distribute:
[tex]=4+(2)(1)+(2)(3x)[/tex]
[tex]= 4+2+6x[/tex]
Combine Like Terms:
[tex]=4+2+6x[/tex]
[tex]=(6x)+(4+2)[/tex]
[tex]=6x+6[/tex]
The Final Answer is : [tex]6x+6[/tex]
The expression that is equivalent to 4+2(1+3x) is 6x+6.
What is an Algebraic expression?Mathematical expressions that are made up of constants, variables, and coefficients that are combined using algebraic operations such as multiplication, addition, subtraction, and division are called Algebraic expressions.
How do simplify the algebraic expression?Given, 4+2(1+3x)
Firstly distribute 2(1+3x) to get 2+6x then,
4+2(1+3x)
=4+2+6x
=6x+6
Thus, 4+2(1+3x)=6x+6
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Please answer this correctly
Answer:
A =12.56 m^2
Step-by-step explanation:
Find the area of a circle with radius 4
A = pi r^2
A = 3.14 * 4^2
A =50.24
Since this is 1/4 of the circle, multiply by 1/4
A = 1/4 * 50.24
A =12.56 m^2
Answer:
12.56
Step-by-step explanation:
the formula for the area of a circle is the following:
[tex]\pi r^{2}[/tex]
so divide that formula by 4 to get a quarter and plug in the radius for r.
[tex](\pi )(4^2)/4= 12.56[/tex]
What’s the correct answer for this?
Answer:
270 inches³
Step-by-step explanation:
Volume of carton = wlh
Where w is width, h is height and length is l
V = (9)(5)(6)
V = 270 inches³
Solve sin2x=-1/2 on the interval 0≤ angle≤360°
Answer:
x=135
Step-by-step explanation:
We know that sin(270) = -1/2
So 2x = 270
x = 135
A manufacturing machine has a 40% defect rate. If 131 items are chosen at random, answer the following. a) Which is the correct wording for the random variable? rv X = the number of 131 randomly selected items that are defective Correct b) Pick the correct symbol: n Correct = 131 c) Pick the correct symbol: p Correct = 0.4
Answer:
A manufacturing machine has a 40% defect rate. If 131 items are chosen at random, then:
The random variable, X=Number of 131 randomly selected items that are defective.Number of Items, n=131The point estimate of defective items, p=40%=0.4A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is this distance?
Answer:
150
Step-by-step explanation:
If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 90. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.
90^2 + 120^2 = c^2
c=150
What is the midpoint of the vertical line segment graphed below? (2,4) (2,-9)
Answer is A
Midpoint
[tex] \frac{x \: a xis}{2} . \frac{y \: axis}{2} [/tex]
[tex] \frac{2 + 2}{2} . \frac{4 + ( - 9)}{2} [/tex]
[tex](2. - 2.5 )[/tex]
Simplify the expression. Write the answer using scientific notation. (7 × 105)2 a. 4.9 × 1010 b. 4.9 × 1011 c. 4.9 × 109 d. 49 × 1010
Answer:
b. 4.9 × 1011
Step-by-step explanation:
Using scientific notation is similar to expressing in standard form. Given that (7 × 105)2
We open the parenthesis. This may first be expressed as
7² × 10⁽⁵⁾²
Then expand,
= 49 × 10¹⁰
To put in scientific notation, 49 = 4.9 × 10
Hence the expression becomes
= 4.9 × 10 × 10¹⁰
Using the laws of indices
= 4.9 × 10¹¹ in scientific notation
Answer:
4.9 × 1011
Step-by-step explanation:
I did it in grandpoint
What is the value of ¡97 - i?
Answer:
This is the answer
Step-by-step explanation:
What is the difference? Negative 6 minus (11)
Answer:
-17
Step-by-step explanation:
-6-11=-17
Answer:
the answer is -17
Step-by-step explanation:
What is the value of the expression 1/7 ÷8 A 1/12 B 1/35 C 5/7 D 6/7
Pss. Its multiple choice okay dont get confused
Answer:
Looks like it's none.
Step-by-step explanation:
[tex]\frac{1}{7}*\frac{1}{8}=\frac{1}{56}[/tex]
Answer:
Step-by-step explanation:B and D I belive.
6x +7y=-46 3x-2y=32 solve this system of linear equations
Hello
We have two equations and need to find x and y
(1) 6x+7y=-46
(2) 3x-2y=32
multiply (2) by 2 it gives
(2') 6x-4y=64
(1) - (2') gives
6x+7y-6x+4y=-46-64 = -110
so 11y = -110
y = -10
replace in (2) it gives
3x+20=32
3x=12
x = 12/3 = 4
the solution is (4,-10)
do not hesitate if you need further explanation
if you like my answer, tag it as the brainliest :-)
An internet story that goes viral has a number of readers that is increasing exponentially, with number of readers in millions represented by 2x, where x is the time, in days. Find the time when the number of readers reaches 9 million.
What is the exact solution written as a logarithm?
What is an approximate solution rounded to the nearest thousandth?
Answer:
a) [tex]x = \log_{2} 9,000,000[/tex], b) [tex]x \approx 23.101\,days[/tex]
Step-by-step explanation:
The number of readers as a function of time is:
[tex]n = 2^{x}[/tex]
Where:
[tex]x[/tex] - Time, measured in days.
[tex]n[/tex] - Number of readers, dimensionless.
a) The time when the number of readers reaches 9 million is:
[tex]x = \log_{2} n[/tex]
[tex]x = \log_{2} 9,000,000[/tex]
b) The approximate solution rounded to the nearest thousandth is:
[tex]x \approx 23.101\,days[/tex]
How do you find arc length???
Answer:
π
Step-by-step explanation:
For a circle, arc length is equal to the radius times the angle.
s = rθ
s = (1) (π − 0)
s = π
Which are steps that could be used to solve 0 = 9(x2 + 6x) – 18 by completing the square? Check all that apply. 18 + 81 = 9(x2 + 6x + 9) 18 + 9 = 9(x2 + 6x + 9) 18 + 36 = 9(x2 + 6x + 36) 11 = (x + 3)2 StartRoot 342 EndRoot = (x + 6)2 StartRoot 99 EndRoot = (x + 3)2
Answer:
18 + 81 = 9(x² + 6x + 9)
11 = (x + 3)²
When we are completing the square, we are going to move the value of c across the equals. We will do that by adding, and end up with
18=9(x²+6x)
We take the value of b (the coefficient of x), divide it by 2 and square it:
(6/2)²=3²=9
This is the value that completes the square. However, since the entire square is multiplied by 9, this value must be multiplied by 9 before we can add it across the equals:
18+9(9) = 9(x²+6x+9)
18+81=9(x²+6x+9)
99=9(x²+6x+9)
Dividing both sides by 9, we have:
11=x²+6x+9
11=(x+3)²
Answer:
18 + 81 = 9(x2 + 6x + 9) and 11 = (x + 3)2
Step-by-step explanation:
EDG
write the equation of the line that is parallel to 2x-y=15 and passes through the point (3,7)
Answer:
work is shown and pictured
Write an equation of the line containing the point (2,1) and perpendicular to the line 5x – 2y = 3.
So first, you want to isolate your Y. To do this, you must get it alone on ONE SIDE of the equation.
5x - 2y = 3
-5x -5x
[tex]\frac{-2y}{-2}[/tex] = [tex]\frac{3-5x}{-2}[/tex]
ANSWER: y = \frac{3-5x}{-2}
What is the slope of line p?
ty
4
DONE
===========================================================
Explanation:
Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that
rise = 2
run = 3
slope = rise/run = 2/3
----------
If you want to use the slope formula, then you would say
m = (y2 - y1)/(x2 - x1)
m = (2 - 0)/(3 - 0)
m = 2/3
I used the two points (0,0) and (3,2). You could use any two points you like on this line.
Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.
The slope of the line p is given by 2/3.
What is Slope of a Straight line?The tangent value of the angle which the straight line makes with the positive X axis is called the slope of that particular straight line.
If s line passes through two points (a,b) and (c,d) then the slope of the line (m) is given by,
m = (d-b)/(c-a)
Here in the given figure we can see that the given line p passes through (3,2), (-3,-2) and the origin (0,0)
then taking any two points out of that three (3,2), (0,0) we get, the slope of p is given by,
m = (2-0)/(3-0) = 2/3
Hence slope of line p is given by 2/3.
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Question 14
For the following system of equations, determine how many solutions there are.
6x + y = -1 and -6x - 4y = 4
Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
[tex]6x+y=-1\\y=-6x-1[/tex]
second equation:
[tex]-6x-4y=4\\-6x=4y+4\\-6x-4=4y\\y=-\frac{3}{2} x-1[/tex]
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
The m∠ABC = (10x-5)°and m∠CBD=35°. If the angles are supplementary, find the value of x.
Answer:
15
Step-by-step explanation:
Supplementary angles completes each other to 180°
if the teo angles are supplementary here the the sum of 10x - 5 + 35 should be 180°
10x - 5 + 35 = 180
10x + 30 = 180
10x = 150
x = 15
Simplify the answer pls
Answer:
Step-by-step explanation:
24/3 - 4
8 - 4 = 4
A prism is filled with 3 layers of cubes. Each layer has 25 cubes. The volume of each cube is 1 cubic inch. What is the volume of the prism?
Answer:
The volume of the prism is 75 cubic inches
Step-by-step explanation:
The volume of the prism is the amount of space contained on the interior of the prism.
Now we have that this entire space is filled with cubes of defined volumes. Therefore, to get the volume of the prism, we can simply get the total volume occupied by all the cubes. This should give us our answer.
From the information we are given, we know that the there are 3 layers of cubes each containing 25 cubes.
This gives the total number of cubes to be 3 X 25 = 75 cubes in total
We also know that the volume of 1 cube is 1 cubic inch.
Hence the volume of 75 cubes will be 75 X 1 cubic inch = 75 cubic inches.
what are the solutions
Answer:
2 and -8
Step-by-step explanation:
[tex]x^2+6x-6=10 \\\\x^2+6x-16=0 \\\\(x+8)(x-2)=0 \\\\x=2, -8[/tex]
Hope this helps!
Is –57 + 19 positive or negative?plz answerrrrrr ill mark 1st as brainliest
Answer: negative
Step-by-step explanation:
because –57 + 19= -38
and negative plus positive is negative
so the answer is negative
Hope this helps :)
Answer:
Negative
Compare the absolute values (how far the number is away from zero)
57 is bigger than 19
since 57 is negative and bigger than 19 when they add the sum will still be negative
Step-by-step explanation:
A shareholders' group, in lodging a protest, claimed that the mean tenure for a chief executive office (CEO) was at least eight years. A survey of companies reported in the Wall Street Journal found a sample mean tenure x = 7.56 of years for CEOs with a standard deviation of years s = 6.67 years.
A. Formulate hypotheses that can be used to challenge the validity of the claim made by the shareholders' group.
B. Assume 70 companies were included in the sample. What is the p-value for your hypothesis test?
C. At α = 0.02, what is your conclusion?
Answer:
could be c might be a also
Step-by-step explanation:
A jar of marbles contains the following: two purple marbles, four white marbles, three blue marbles, and two green marbles. What is the probability of selecting a white marble from a jar of marbles?
Answer:
4/11
Step-by-step explanation:
There are 11 marbles in total, if 4 of them are white, then you have a 4/11 chance of getting a white marble.
If P(A)=0.4, P(A and B)=0.2,and P(A or B)=0.5, What is P(B)
Answer:
[tex]\boxed{\ P(B)=0.3 \ }[/tex]
Step-by-step explanation:
Hi,
We know that
P(A or B)=P(A)+P(B)-P(A and B)
so P(B)= P(A or B) - P(A) + P(A and B)
so
P(B) = 0.5 - 0.4 + 0.2 = 0.3
thanks
Solve:
5 thousands
ones
5 thousand ones is the same as 5,000. Each one takes up one place.
Answer:
5000
Step-by-step explanation:
