Answer:
Difference
Step-by-step explanation:
Remember that the therms of any subtraction problem are minuend, subtrahend, and difference.
- The minuend is the number from which you subtract something. For example, in the subtraction problem 4 -3 = 1, 4 is the minuend (you are subtracting 3 form it).
- The subtrahend is the number you subtract (from the minuend). For example, in 4 - 3 = 1, 3 is the subtrahend (you are subtracting 3 from the minuend 4).
- The difference is the result of subtracting the subtrahend form the minuend, in other words, the result of the subtraction problem. For example, in 4 - 3 = 1, 1 is the difference (the result)
We can conclude that the result of a subtraction problem is called the difference.
. In mathematics, the answer to a subtraction problem is called the difference.
For example, when you subtract 3 from 5, you perform the following calculation:
5 - 3 = 2
Here, 2 is the difference. Similarly, if you subtract -6 from 2, you change the sign of the number being subtracted and then add:
2 - (-6) = 2 + 6 = 8
The answer, 8, is the difference as well.
The concept of difference holds true for both scalar and vector quantities. For both types, the difference is the result of the subtraction operation.
Please help me out please
A = 1/2aP
P = number of sides x length of each side
P = 8 x 5.8
P = 46.4
A= 1/2 x 7 x 46.4
A = 162.4
Which of the following are the x-intercepts on the graph of the function shown below?
[tex]f(x)=(x+2)(x-7)[/tex]
A, 7
B. -2
C. 2
D. -7
Answer:
Option A, 7 and Option B, -2
(7,0) and (-2,0)
Step-by-step explanation:
Given in the question a function f(x) = (x+2)(x-7)
Step 1
Expand the function (x+2)(x-7)
x(x-7)+2(x-7)
x² - 7x + 2x - 14
x² - 5x - 14
Step 2
To find the x-intercepts we will substitute y with 0
y = x² - 5x - 14
0 = x² - 5x - 14
(x-7)(x+2) = 0
x = 7
x = -2
Answer:
The x-intercepts would be 7 and -2.
Step-by-step explanation:
Kory calculated several numbers in his calculator. The result displayed 1.3E-2 on the calculator screen. Which equivalent number(s) does this represent? 13 × 102 130 0.013 1.3 × 10-2 -0.013
Answer:
1.3×10⁻² = 0.013
Step-by-step explanation:
The "E" stands for "×10^", so 1.3E-2 means 1.3×10^-2.
Of course 10^-2 = 1/10^2 = 1/100 = 0.01, so
1.3E-2 = 1.3×10^-2 = 1.3×0.01 = 0.013
_____
This notation was used by early computers to print results where the character set was limited and superscripts could not be printed.
Please help me out please!!!!!!!! :)
Answer:
12.3
Step-by-step explanation:
cos(35) = y/15
y = 15 * cos(35) = 12.3
Answer:
y = 12.3 cm
Step-by-step explanation:
Since the triangle is right with hypotenuse 15, use the cosine ratio to solve for y, that is
cos35° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{15}[/tex]
Multiply both sides by 15
15 × cos35° = y, hence
y ≈ 12.3
Billy needs to paint a logo made using two right triangles. The dimensions of the logo are shown below. What is the total area of the two triangles that need to be painted? Two right triangles are attached along their longest side. The smaller triangle has height 6 cm and base 2 cm. The height of the larger triangle is 9 cm, and its base is 3 cm.
The area of a triangle is half the multiplication of the base and the height.
So, if the smaller triangle has height 6 cm and base 2 cm, its are is
[tex]\dfrac{6\times 2}{2}=6[/tex]
Similarly, if the height of the larger triangle is 9 cm, and its base is 3 cm, its area is
[tex]\dfrac{9\times 3}{2}=\dfrac{27}{2}[/tex]
So, the total area is
[tex]6+\dfrac{27}{2} = \dfrac{12}{2}+\dfrac{27}{2}=\dfrac{39}{2}[/tex]
The total area of the two triangles that need to be painted is 19.5 cm².
Explanation:The total area of the two triangles that need to be painted can be found by adding the area of the smaller triangle and the area of the larger triangle. The formula to calculate the area of a triangle is:
Area = (base * height) / 2
For the smaller triangle, the base is 2 cm and the height is 6 cm. Substituting these values into the formula, we get:
Area of smaller triangle = (2 cm * 6 cm) / 2 = 6 cm²
For the larger triangle, the base is 3 cm and the height is 9 cm. Substituting these values into the formula, we get:
Area of larger triangle = (3 cm * 9 cm) / 2 = 13.5 cm²
To find the total area, we add the areas of the two triangles:
Total area = area of smaller triangle + area of larger triangle = 6 cm² + 13.5 cm² = 19.5 cm²
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.
What is the survey’s margin of error?
Answer:
±4
Step-by-step explanation:
The margin of error in a confidence interval is half the range:
(84 - 76) / 2 = 4
So the margin of error is ±4.
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The margin of error of the survey will be ±4%.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations. Therefore, the margin of error can be written as,
Margin of Error = (84%-76%)/2 = 8%/2 = ±4%
Hence, the margin of error of the survey will be ±4%.
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Is it possible to have exactly 100 coins consisting only of pennies, dimes, and quarters so that the 100 coins are worth exactly $5
Answer:
yes
Step-by-step explanation:
What is the total weight, in pounds, of 100 sharks that each weigh 5.015× 10 (to the 3rd power) pounds
Answer:
12612837.8375
Step-by-step explanation:
first you have to multiply 5.015 x 10 and you get 50.15 the put that to the power of 3 and then multiply the total by 100.
Please help me out with this
Answer:
Step-by-step explanation:
Formula
a^2 + b^2 = c^2
Givens
a = x
b = 20.2
c = 14.7 + x
Solution
x^2 + 20.2^2 = (14.7 + x)^2 Expand the brackets
x^2 + 408.04 = 14.7^2 + 29.4x + x^2 Cancel the x^2
408.04 = 216.9 + 29.4x Subtract 216.9 from both sides.
191.98 = 29.4x Divide by 29.4
6.52993 = x Answer.
6.5 to the nearest tenth.
Answer:
x = 6.5 cm
Step-by-step explanation:
The tangent to the circle forms a right angle with the radius x
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides
The hypotenuse is (x + 14.7) ← opposite the right angle, hence
(x + 14.7)² = x² + 20.2² ← expand parenthesis on left side
x² + 29.4x + 216.09 = x² + 408.04 ( subtract x² from both sides )
29.4x + 216.09 = 408.04 ( subtract 216.09 from both sides )
29.4x = 191.95 ( divide both sides by 29.4 )
x ≈ 6.5 cm
What is the value of B?
Answer: 120
Step-by-step explanation:
Someone please help??
Answer:
the correct answer would be c, g(x)=2^x+2
Step-by-step explanation:
We can eliminate the first and the last option because the line is going upwards, not downwards(it would if it was negative or had the negative sign in front). We can cross out the second option because if it was 2^x+3, then it would be crossing (0,4) on the y-axis. Therefore the correct option is C, since it crosses right at (0,3).
hope this helps :)
The head librarian at a public library releases a report. The report states that visitors to the library want the library to open one hour earlier on Saturdays. The report was based on a survey of the first 50 visitors to the library on a recent Saturday. Participants were asked the question, "Do you think the library should open one hour earlier on Saturdays?"
Select ALL statements that correctly evaluate the report.
Answer:
Step-by-step explanation:
The question is not biased. It doesn't push the participants to answer one way or another.
However, the sample is biased. It does not represent the population.
The first and fourth options are correct.
Please help me with this!!!!
Answer:
True
Step-by-step explanation:
A plane is a flat, infinite 2D surface, so when we say two things are coplanar, they can all fit on a single plane. In this case, all three lines a, b, c, and d lie on the same 2D surface, so we'd consider them coplanar. True.
A guide climbs a mountain at the rate of 30 minutes for every 50 feet. How many hours will it take the guide to climb 750 feet
Answer: 7.5 hours
Step-by-step explanation:
750/50=15 to see how many times he climbed 15 feet
15 times 30=450 (total minutes)
450/60=7.5 hours
Answer:7.5
Step-by-step explanation:
450/60
What is the surface of a sphere with a radius of 13 units?
Sphere = 4PiRsquared
Radius = 13
13 x 13 = 169
169 x 4= 676 Pi
5e surface is 676Pi
Answer:
The correct answer is option B. 676π units²
Step-by-step explanation:
Formula:-
The surface area of a sphere = 4πr²
Where r is the radius of sphere
To find the surface area of given sphere
Here r = 13 units
Surface area = 4πr²
= 4 * π * 13²
= 4 * π * 169 = 676π units²
Therefore the correct answer is option A. 676 units²
Match the equations of ellipses to their equivalent equations in standard form.
Answer:
# The general form of x²/3² + (y - 2)²/2² = 1 is 4x² - 36y + 9y² = 0
# The general form of (x + 7)²/7² + y²/6² = 1 is 36x² + 504x + 49y² = 0
# The general form of x²/6² + (y + 4)²/4² = 1 is 16x² + 288y + 36y² = 0
# The general form of (x - 3)²/3² + y²/5² = 1 is 25x² - 150x + 9y² = 0
Step-by-step explanation:
* Lets revise the general form and the standard form of the ellipse
- The general form is Ax² + Bxy + Cy² + Dx + Ey + F = 0
- The standard form is (x - h)²/a² + (y - k)²/b² = 1
* Lets solve the problem
# x²/3² + (y - 2)²/2² = 1
∵ x²/9 + (y - 2)²/4 = 1 ⇒ multiply both sides by 9 × 4 (36)
∴ 4x² + 9(y - 2)² = 36 ⇒ open the bracket power 2
∴ 4x² + 9(y² - 4y + 4) = 36 ⇒ multiply the bracket by 9
∴ 4x² + 9y² - 36y + 36 = 36 ⇒ subtract 36 from both sides
∴ 4x² - 36y + 9y² = 0
* The general form of x²/3² + (y - 2)²/2² = 1 is 4x² + 9y² - 36y = 0
# (x + 7)²/7² + y²/6² = 1
∵ (x + 7)²/49 + y²/36 = 1 ⇒ multiply both sides by 49 × 36 (1764)
∴ 36(x + 7)² + 49y² = 1764 ⇒ open the bracket power 2
∴ 36(x² + 14x + 49) + 49y² = 1764 ⇒ multiply the bracket by 36
∴ 36x² + 504x + 1764 + 49y² = 1764 ⇒ subtract 1764 from both sides
∴ 36x² + 504x + 49y² = 0
* The general form of (x + 7)²/7² + y²/6² = 1 is 36x² + 504x + 49y² = 0
# x²/6² + (y + 4)²/4² = 1
∵ x²/36 + (y + 4)²/16 = 1 ⇒ multiply both sides by 36 × 16 (576)
∴ 16x² + 36(y + 4)² = 576 ⇒ open the bracket power 2
∴ 16x² + 36(y² + 8y + 16) = 576 ⇒ multiply the bracket by 36
∴ 16x² + 36y² + 288y + 576 = 576 ⇒ subtract 576 from both sides
∴ 16x² + 288y + 36y² = 0
* The general form of x²/6² + (y + 4)²/4² = 1 is 16x² + 288y + 36y² = 0
# (x - 3)²/3² + y²/5² = 1
∵ (x - 3)²/9 + y²/25 = 1 ⇒ multiply both sides by 9 × 25 (225)
∴ 25(x - 3)² + 9y² = 225 ⇒ open the bracket power 2
∴ 25(x² - 6x + 9) + 9y² = 225 ⇒ multiply the bracket by 25
∴ 25x² - 150x + 225 + 9y² = 225 ⇒ subtract 225 from both sides
∴ 25x² - 150x + 9y² = 0
* The general form of (x - 3)²/3² + y²/5² = 1 is 25x² - 150x + 9y² = 0
Answer:In Plato this is the correct answer
Step-by-step explanation:
Membership to a national running club is shown in the table which answer describes the average rate of change from year 3 to year 5?
Membership increased by an average of 6,600 people per year from year 3 to year 5
Membership decreased by an average of 6,600 people per year from year 3 to year 5
Membership decreased by an average of 13,200 people per year from year 3 to year 5
Membership increased by an average of 13,200 people per year from year 3 to year 5
Answer:
"Membership decreased by an average of 6,600 people per year from year 3 to year 5"
Step-by-step explanation:
To get average rate of change from year 3 to year 5, we need to divide the change from year 3 to 5 by 2 (because from year 3 to 5 is 2 years).
THe change is:
83.6 - 96.8 = -13.2
We divide by 2 to get per year average rate of change:
-13.2 / 2 = -6.6
In thousands, that is 6600 decrease.
2nd answer choice is right.
Please help me out please
Answer:
(a, 0)
Step-by-step explanation:
As S is on the x-axis, its y-coordinate will be zero.
And since this is a right trapezoid, ∠QPS and ∠PSR are right angles, so S and R will have the same x-coordinate, which is a.
Therefore, the coordinate of Point S is (a, 0)
Residuals
A residual is the difference between the actual value and the predicted value.
Suppose the regression line modeling ticket sales is y = –5.9x + 170.85, where x represents ticket price and y represents attendance.
1. What is the predicted attendance when the ticket price is $5? _________
2. The actual attendance was 160 when the ticket price was $5.
Find the residual: _________ – _________ = _________
Answer:
1. predicted attendance: 141.35
2. residual: 18.65
Step-by-step explanation:
1. Predicted attendance is ...
y = -5.9·5 +170.85 = 141.35
__
2. As the problem statement tells you, ...
actual value - predicted value = residual
160 - 141.35 = 18.65 . . . the residual
Re-write this question to make it a statistical question:
How old am I?
it means that you must write "How old am I" into a statistical question
A statistical question is a question asked with the goal of collecting data. You could rewrite the question so that it says something like, “How old were you when..” That way the responses will vary and you would be able to graph and compare them.
The statistical question of the given statement is How old were you then.
The following tells about the statistical question:A statistical question is one that can be answered by collecting data and for which there will be variability in that data.For example, there will likely be variability in the data collected to answer the question, "How much do the animals at Fancy Farm weigh?" but not to answer, "What color hat is Sara wearing?"A statistical question is a question that can be answered by gathering data and a question for which we expect to have variation in the data we collect.Hence, the statistical question of the given statement is How old were you then.
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Thomas buys a case of bottled water .A case contains 36 bottles of water and $4.69.Thomas would sell each bottle of water for $0.75 at a school event How much profit ,in dollars ,will Thomas earn if he sells all the bottles of water ?
Answer:
The profit will be [tex]\$22.31[/tex]
Step-by-step explanation:
we know that
To find the profit subtract the cost of the case of bottled water from the sell of all the bottles of water
Let
x-----> the profit
[tex]x=36*0.75-4.69=\$22.31[/tex]
The ratio of cups of orange juice concentrate to cups of water in punch is 1:3 if James made 32 cups of punch how many cups of orange juice did he need
Answer:
We have 8 cups of orange juice
Step-by-step explanation:
orange juice: water: total
1 : 3 : 4
Multiply everything by x
1x 3x 4x
We have 32 cups total
4x = 32
Divide each sice by 4
4x/4 = 32/4
x = 8
We have 8 cups of orange juice
3*8 = 24
We have 24 cups of water
The ratio of orange juice to water in the punch is 1:3, which means that for every single cup of orange juice, there are 3 cups of water. To find out how many cups of orange juice were used to make 32 cups of punch, we find out what 1 part out of the total 4 parts is, which is 32 ÷ 4 = 8. Therefore, James used 8 cups of orange juice for the punch.
Explanation:The subject of the question is Mathematics and it pertains to the concept of ratios in particular. The ratio of orange juice concentrate to water is given as 1:3. This means that for every 1 cup of orange juice, James uses 3 cups of water. So, the total parts in the punch are 1 (for orange juice) + 3 (for water) = 4 parts.
However, James made 32 cups of punch. Hence, to find out how many cups of orange juice he used, we need to find out what 1 part out of the total 4 parts is. To do this, you divide the total punch made (32 cups) by the number of total parts (4).
Therefore, 32 cups divided by 4 equals 8 cups. Hence, James used 8 cups of orange juice to make the punch.
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What is the length of the diagonal of square with perimeter 12 m? Express the answer as a simplified square root.
Answer: [tex]3\sqrt{2}\ m[/tex]
Step-by-step explanation:
The perimeter of a square is:
[tex]P=4s[/tex]
Where "s" is the lenght of a side of the square.
Then, if the perimeter of this square is 12 m, you can solve for "s" and find its value:
[tex]s=\frac{P}{4}\\\\s=\frac{12\ m}{4}\\\\s=3\ m[/tex]
You can calculate the length of the diagonal with this formual:
[tex]d=s\sqrt{2}[/tex]
Where "s" is the lenght of a side of the square.
Substituting the value of "s" into the formula [tex]d=s\sqrt{2}[/tex], you get that the lenght of the diagonal of this square is:
[tex]d=3\sqrt{2}\ m[/tex]
Which of the following is unnecessary when multiplying these polynomials?
(2x∧3 + 2x∧2 - 3x)(9x∧2-4x+5)
A.
use the distributive property
B.
use the multiplication property of exponents
C.
combine like terms
D.
find the GCF
Answer:
Find the GCF
Step-by-step explanation:
When multiplying the following polynomials:
(2x^3 + 2x^2 - 3x)(9x^2-4x+5)
1. First we need to use the distributive property:
(2x^3 + 2x^2 - 3x)(9x^2-4x+5) = 2x^3 * 9x^2 - 2x^3 * 4x + 2x^3 * 5 + 2x^2 * 9x^2 - 2x^2 * 4x + 2x^2 * 5 - 3x * 9x^2 + 3x * 4x - 3x * 5.
2. Second, we need to use the multiplication property of exponents:
(2x^3 + 2x^2 - 3x)(9x^2-4x+5) = 18x^5 - 8x^4 + 10x^3 + 18x^4 - 8x^3 + 10x^2 - 27x^3 + 12x^2 - 15x.
3. We need to combine like terms:
(2x^3 + 2x^2 - 3x)(9x^2-4x+5) = 18x^5 +10x^4 -25x^3 + 22x^2 - 15x.
We don't need to find the GCF.
A polygon is convex if and only if a segment connecting any two vertices never passes through the exterior of the polygon.If this statement is true, then which of the following statements must also be true?A.A segment connecting any two vertices of a polygon never passes through the exterior of a polygon if and only if the polygon is not convex.B.A polygon is not convex if and only if a segment connecting any two vertices never passes through the exterior of the polygon.C.A polygon is convex if and only if a segment connecting any two vertices never passes through the interior of the polygon.D.A polygon is not convex if and only if a segment connecting any two vertices passes through the exterior of the polygon.
Answer:
D
Explanation:
A is the same thing as the statement, only that it says if the polygon is convex. Same thing for B. C could've worked if it said exterior instead of interior. D is basically the converse of the statement.
A polygon is not convex if and only if a segment connecting any two vertices passes through the exterior of the polygon i.e option D
What is the difference between a convex polygon and a concave polygon?Each interior angle of a convex polygon is less than 180° while in the case of the concave polygon at least one angle is more than 180°.
In the diagram attached,
We can see in the case of a convex polygon if we join any two vertices, a line segment joining two vertices never passes through the exterior or interior of the polygon.
In the case of a concave polygon, at least a line segment joining two vertices passes through the exterior of a polygon.
Therefore, A polygon is not convex if and only if a segment connecting any two vertices passes through the exterior of the polygon i.e option D
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help please thank you.
first answer choice is yes or no.
other answer choices are: 3 4 5 6
Hello there! Here are your answers:
Does Kerri's dot plot match the data in the tally table? No.
Look at any of the hours on the chart vs dot plot. Let's take 4 for example. In the tally table, there are 6 class mates. In the plot, there are 3. So no, it is not the same.
The answers for the other problems are in this order (since it's the number of circles on the dot plot at the given hour):
5 - classmates spent 3 hours at the park
3 - classmates spent 4 hours at the park
6- classmates spent 5 hours at the park
4 - classmates spent 6 hours at the park
I hope this was helpful and let me know if you need more help! :) Have a great day! :)
Answer:
the other guy is right
Step-by-step explanation:
-~- boiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii laggy
Please help with this question!! I am out of points now!! I need this!
Answer:
C
Step-by-step explanation:
Draw in <QOS. That's the central angle. It is also 60 degrees.
<R which has Q and S as its end points, = 1/2 the central angle (always) so <R = 30 degrees.
C
Which of the following is equivalent to 2 ln e^ln 5x = 2 ln 15?
Answer:
x = 3
Step-by-step explanation:
Given in the question an equation,
[tex]2lne^{ln5x}=2ln15[/tex]
Step 1
[tex]e^{lnx}=x[/tex]
so,
[tex]2ln(5x)=2ln15[/tex]
Step 2
cancel 2 on both sides of the equation
[tex]ln{5x}=ln15[/tex]
Step 3
[tex]ln{5x}-ln15=0[/tex]
[tex]ln\frac{5x}{15}=0[/tex]
Step 4
[tex]ln\frac{x}{3}=0[/tex]
Step 5
[tex]e^{ln\frac{x}{3}}=e^{0}[/tex]
Step 6
x/3 = 1
x = 3(1)
x = 3
Which graph represents the parabolic equation
(x − 2)2 = 12(y − 3)?
ANSWER
Option B
EXPLANATION
The equation given to us is;
[tex] {(x - 2)}^{2} = 12(y - 3)[/tex]
Comparing this to the general parabolic equation:
[tex] {(x - h)}^{2} = 4p(y - k)[/tex]
We have h=2 and k=3.
The vertex of this parabola is (h,k) which is (2,3).
This parabola also opens upwards because the value of p is positive.
The correct graph is B.
Find the measure of the leg of a 45-45-90 right triangle given the hypotenuse is 4√2 .
A.) 2
B.) 2√2
C.) 8
D.) 4√2
E.) 4
Answer:
e). 4
Step-by-step explanation:
45-45-90
x-x-xsquare root of 2
Final answer:
The measure of the leg of a 45-45-90 right triangle with a hypotenuse of 4√2 is 4 units.
Explanation:
The question asks for the measure of the leg of a 45-45-90 right triangle given that the hypotenuse is 4√2. In a 45-45-90 right triangle, both legs are of equal length and the hypotenuse is √2 times the length of a leg. Using the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a2 + b2), we can find the length of a leg when the hypotenuse is known.
Let the length of each leg be 'a'. Since the hypotenuse is 4√2, the equation according to the Pythagorean Theorem would be a2 + a2 = (4√2)2. This simplifies to 2a2 = 32, so a2 = 16, and thus a = √16. Therefore, each leg measures 4 units.