Answers
Answer:
the second choice
Step-by-step explanation:
The last two choices could not be correct, because it would need a dashed line. The line under the greater than or less than symbol mean that the line is included in the answer and it will be a solid line like you see in the picture. For both of the top two answers the slope that they y intercept is correct. You just have to decide is the symbol will be greater than or equal to or less than and equal to.
If we put 0 in x for in the form y = mx + b, what would y be?
y = 1/3 x - 1
y = 1/3(0) - 1
y = -1
The ordered pair is (0,1). That is the part that is shaded so that shows us that the second answer is correct.
Related Questions
Each day of the week mrs uses 3/4 of a gallon of gas what is the amount she uses in five days?
Answers
Answer:
3.75
Step-by-step explanation:
3/4 times 5 =3 3/4
Aku minta tolong dengan ini
Answers
Answer:5
Step-by-step explanation:
321 123
[tex]\sqrt{2a-14} =2[/tex]
Answers
Answer:
a = 9
Step-by-step explanation:
[tex]\sqrt{2a-14} = 2[/tex]
2a - 14 = 4
2a = 18
a = 9
Answer:
The answer to this question is a = 9.
Step-by-step explanation:
To solve this problem, we need isolate the variable "a" on one side of the equation. Our first step must be to remove the square root. To do this, we should perform the inverse operation, which is squaring both sides.
√2a - 14 = 2
(√(2a - 14))² = 2²
2a - 14 = 4
Next, we should add 14 to both sides of the equation to get the variable term by itself.
2a - 14 + 14 = 4 + 14
2a = 18
Finally, we should divide both sides of the equation by 2 to remove the coefficient from the variable term.
a = 9
Therefore, the correct answer is a = 9.
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4y^5-6y+8y^2-1 for y = -1
Answers
Answer:9
Step-by-step explanation:
You are interested in doing a content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers. your unit of analysis is:_______.
Answers
To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.
Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.
Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.
When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.
Hence the unit of analysis is objective of the section.
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Rachel is having chocolate cake for dessert. The cake is 12 inches in diameter and she plans to cut it into 12 pieces. What is the area of each slice of Rachel's cake?
Answers
The area of each slice of the cake is 3π square inches
How to find the area of a circle?The cake is 12 inches in diameter. The cake top is circular.
Therefore, the area of a circle is as follows;
area of a circle = πr²
where
r = radiusTherefore,
r = diameter / 2
r = 12 / 2
r = 6 inches
Hence,
area of a circle = π × 6²
area of a circle = 36π
area of each sliced cake = 36π / 12
area of each sliced cake = 3π square inches
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Consider the three arithmetic sequences. sequence i: 9, 13, 17, 21, . . . sequence ii: 117, 120, 123, 126, . . . sequence iii: 54, 61, 68, 75, . . . which lists the sequences in order from least common difference to greatest common difference?
Answers
Answer: sequence II, sequence I, sequence III
Total area=
What is the total area?
Help me asap! Please!! Thanks so much :)
Answers
The total surface area of this shaded region is 1000 units²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The total surface area of a polygon is the sum of the individual areas of each surface.
Total area of the figure = 2(20 * 10) + 2(10 * 10) + 2(20 * 10) = 1000 units²
The total surface area of this shaded region is 1000 units²
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find the surface area of composite figure. use 3.14 for π. round to the nearest tenth
Answers
Combining of the two cylinders gives a composite figure that has the surface area of a solid cylinder of radius 7 mm and height 6 mm, such that the surface area of the figure is approximately 571.5 mm².
Which method can be used to find the surface area of the figure?Radius of the inner cylinder, r = 3 mm
Radius of the outer cylinder, R = 7 mm
Height of the cylinders, h = 6 mm
Given that the inner cylinder exactly fits into the outer cylinder, we have;
The surface area of the composite figure is the surface area of the hollow outer cylinder + The area of the top and bottom of the inner cylinder.
Which gives;
The surface area of the composite figure, A, is the surface area of a solid cylinder, using the dimensions of the hollow outer cylinder.
A = 2•π•R² + 2•π•R•hWhich gives;
A = 2 × π × 7² + 2 × π × 7 × 6Where, π = 3.14, we have;
A = 2 × 3.14 × 7² + 2 × 3.14 × 7 × 6 ≈ 571.5
The surface area of the composite figure, A ≈ 571.5 mm²Learn more about the analyzing of composite figures here:
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Let ABCD be an isosceles trapezoid (AB//CD). Draw AE, BF perpendicular to CD (E, F belong to CD), Let AB = 8cm, CD = 18cm, AD = 13cm.
a) Prove that triangle ADE = triangle BCF
b) Calculate DE, CF.
c) Calculate AE.
Thanks for solving the homework
Answers
A trapezoid is a plane figure bounded by four sides. Therefore, the required answers are given below;
a) ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) DE = 5 cm and CF = 5 cm
c) AE = 12 cm
Plane figures are shapes that are formed by straight boundaries referred to as sides. Examples include; square, rectangle, trapezium, etc.
A trapezoid is a family of quadrilaterals., these are figures that have four straight sides.
In the given question, the required answers are:
a) To prove that ΔADE = ΔBCF
Thus,
AE ⊥ DC (given)
BC ⊥ DC (given)
<AED = <BFC = [tex]90^{o}[/tex]
AE = BF (height of the trapozoid)
<ADE ≅ <BCF (congruent property of two triangles)
Therefore, it can be concluded that;
ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) Given that AB = 8 cm, and DC = 18 cm.
Then,
CD = DE + EF + FC
18 = DE + 8 + FC (since EF = AB)
18 - 8 = 2 DE (since DE = FC)
DE = 5 cm
Thus, DE = 5 cm and CF = 5 cm
c) To determine the value of AE, we have to apply the Pythagoras theorem. So that;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]13^{2}[/tex] = [tex]AE^{2}[/tex] + [tex]5^{2}[/tex]
169 - 25 = [tex]AE^{2}[/tex]
[tex]AE^{2}[/tex] = 144
AE = [tex]\sqrt{144}[/tex]
= 12
AE = 12 cm
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A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
Answers
The smaller number, x from the inequality x + 2x + 6 < 50 is x < 14.67
Inequalityx + 2x + 6 < 50
3x + 6 < 50
collect like terms3x < 50 - 6
3x < 44
divide both sides by 3x < 44/3
x < 14.6666666666666
Approximately,
x < 14.67
Therefore, the smaller number, x is approximately x < 14.67
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The population of Dorchester in 2012 was 294,680. This reflected a 6% increase from the year 1999. What was the population in 1999?
Answers
The population of Dorchester in 1999 is 277000.
According to the statement
we have given that the population in 2012. and given that the it is increased 6% from the year 1999. And we have to find the population in 1999.
So, For this purpose,
we have given that the number of
population of Dorchester in 2012 = 294,680
increased from year 1999 = 6%
So, here we use percentage and subtraction formula
Population increase in numbers = 6/100*294,680
Population Increase in numbers = 17680
So, Population in 1990 = population of Dorchester in 2012 - Population increase in numbers
Population in 1990 = 294,680 - 17680
Population in 1990 = 277000.
So, The population of Dorchester in 1999 is 277000.
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3. (x,y) → (x + 2,y) → (x, y)
-10-8
-4-2
10
8
6
2
-2
T
ID
-6
-8
-10
9
10
4. (x,
-10-8
HELPPP PLSSSS
Answers
1) A translation 2 units right
2) A reflection over the x-axis
In the expression (ax+b)*(cx^2+dx+e), find two set of values of a,b,c,d and e so that the coefficient of x^3and x terms after expansion are 4and 10 respectively.
Answers
Answer:
2, 0, 2, 3, 5
1, 2, 4, 0, 5
Step-by-step explanation:
(ax + b)(cx² + dx + e)
acx³ + adx² + aex + bcx² + bdx + be
2(2)x³ + 2(3)x² + 2(5)x + 0 + 0 + 0
4x³ + 6x² + 10x
a = 2
b = 0
c = 2
d = 3
e = 5
1(4)x³ + 1(0)x² + 1(10)x + 2(4)x² + 0 + 10
4x³ + 8x² + 10x + 10
a = 1
b = 2
c = 4
d = 0
e = 5
Can someone help me with this question?
Answers
Answer:
25/81.
Step-by-step explanation:
(27/8)^-4/3
= 8^4/3 / 27^4/3
= (∛8)^4 / (∛27)^4
= 16 / 81
(64/125)^-2/3
= (125)^2/3 / (64)^2/3
= (∛125)^2 / (∛64)^2
= 5^2 / 4^2
= 25/16
So the answer is
16/81 * 25/16
= 25/81.
Answer:
25 / 81(25 by 81) is your answer.
Algebra 3, in the excercise size the graphs to determine the functions domain and range, x and y intercepts if any, and the functions values indicated below the graphs
Answers
Answer:
f(-4)= 3
f(3) = 4
Step-by-step explanation:
y= f(x)
which means y is a function of x
or, in simpler words what is the value of y w.r.t to x
On obseving the graph carefully, you'll see the for the x= -4 the value of y is 3
similarly, for x= 3 , y - coordinate is 4
Look at the graph below.
Answers
Answer:
B. -1/3
Step-by-step explanation:
Choose 2 points. From the lower points count up until it is in line with the other point. Then count left until you reach the second point.
Rise/Run
Rise=1
Run=-3
[tex]-\frac{1}{3}[/tex]
Hope this helps!
Answer: -1/3 is the answer
Step-by-step explanation:
Consider the sets below. u = {x | x is a real number} a = {x | x is an odd integer} r = {x | x = 3, 7, 11, 27} is r ⊂ a?
Answers
The correct option is (B) yes because all the elements of set R are in set A.
What is an element?In mathematics, an element (or member) of a set is any of the distinct things that belong to that set.Given sets:
U = {x | x is a real number}A = {x | x is an odd integer}R = {x | x = 3, 7, 11, 27}So,
A = 1, 3, 5, 7, 9, 11... are the elements of set A.R ⊂ A can be understood as R being a subset of A, i.e. all of R's elements can be found in A.Because all of the elements of R are odd integers and can be found in A, R ⊂ A is TRUE.Therefore, the correct option is (B) yes because all the elements of set R are in set A.
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The complete question is given below:
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A?
(A) yes, because all the elements of set A are in set R
(B) yes, because all the elements of set R are in set A
(C) no because each element in set A is not represented in set R
(D) no, because each element in set R is not represented in set A
A study of the annual population of bees in a county park shows the population, B(t), can be represented by the function B(t)=182(1.065)t, where the t represents the number of years since the study started. Based on the function, what is the growth rate?
Answers
The function [tex]B(t) = 182(1.065)^t[/tex] represents the annual population of bees in a county park, the growth rate is 6.5%.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
An exponential function is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
From the function [tex]B(t) = 182(1.065)^t[/tex]:
b = 1.065
Growth rate = 1.065 - 1 = 0.065 = 6.5%
The function [tex]B(t) = 182(1.065)^t[/tex] represents the annual population of bees in a county park, the growth rate is 6.5%.
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Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. do not show that rn(x) → 0. ] f(x) = e−6x
Answers
The equation of [tex]f(x) = e^{-6x}[/tex] by maclaurin series is [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex].
The maclaurin series for f(x) is defined by the following formula:
[tex]f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}[/tex]--------------(1)
Where [tex]f^{i}[/tex] is the i - th derivative of the function
If f(x) = [tex]e^{-6x}[/tex], then the formula of the i - th derivative of the function is:
[tex]f^{i} =(-6)^{i} .e^{-6x}[/tex]----------------------(2)
Then,
[tex]f^{i}(0) = (-6)^{i}[/tex]
Lastly, the equation of the trascendental function by Maclaurin series is: [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex]---------------(3)
Hence,
The equation of [tex]f(x) = e^{-6x}[/tex] by maclaurin series is [tex]f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}[/tex].
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In △ABC, AB = 13, AC = 20, BC = 21. Find the length of the altitude AD
Answers
The length of the altitude AD is 12 units.
How to find the height of a triangle?The height of the triangle can be found as follows:
We have to find an angle using cosine law before we can find the height.
Therefore,
20² = 13² + 21² - 2 × 21 × 13 cos B
400 = 169 + 441 - 546 cos B
400 - 610 = - 546 cos B
-210 = - 546 cos B
cos B = -210 / -546
cos B = 0.38461538461
B = cos⁻¹ 0.38461538461
B = 67.3810899783
B = 67.38°
Hence,
sin 67.38° = opposite / hypotenuse
sin 67.38° = AD / 13
cross multiply
AD = 13 sin 67.38°
AD = 11.9999882145
AD = 12 units
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Squares and square roots, a perfect square is a number whose square root is an even number
Answers
Answer:
false
Step-by-step explanation:
I'm assuming this a true/false statement? Perfect squares can be defined as: [tex]a^2[/tex] where a is an integer, and a^2 is a perfect square. The reason for this is because if you take the square root of a^2, you get a, which should be an integer. Odd numbers are also integers, 3^2 = 9, and taking the square root of 9 results in an integer. So for this reason perfect squares is a number whose square root is an integer, not just even numbers
The circumference of the great circle of a hemisphere is 19π inches. Which statements about the hemisphere are true? Check all that apply. (Use 3.14 for π and round answers to the nearest tenth, if necessary. Recall that the formula for the surface area of a hemisphere is S = 3πr2 and the formula for the circumference of the great circle is C = πd.)
Answers
The radius of the hemisphere is 9.5 inches.
The diameter of the hemisphere is 19 inches.
The surface area of the hemisphere is 850.2 inches²
How to find the surface area of an hemisphere?circumference of a circle = 2πr
where
r = radiusTherefore,
19π = 2πr
2r = 19
r = 19 / 2
r = 9.5 inches
diameter = 9.5 × 2 = 19 inches
Therefore,
surface area of an hemisphere = 3πr²
surface area of an hemisphere = 3 × 3.14 × 9.5²
surface area of an hemisphere = 850.155 inches²
surface area of an hemisphere = 850.2 inches²
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Geometry: complete this proof of theorem 18, ASAP!!!
(Theorem 18: if the side of one angle are parallel to the sides of another angle, right side to left side and left side to right side, then the angle are supplementary)
Answers
Supplementary angles are angles that can be summed up to give [tex]180^{o}[/tex], which is the value of the sum of angles on a line.
The required statements and reasons are given below:
Two or more lines are said to be parallel if there is no measure of the angle between them or the measure of the angle between them is [tex]180^{o}[/tex]. Thus the lines would never meet at any point even when extended to infinity.
While supplementary angles are angles that can be summed up to give [tex]180^{o}[/tex], which is the value of the sum of angles on a line.
STATEMENTS REASONS
1. < A and <B with AD ║BE, AC ║BF Given.
2. AD, AC, BE, BF Straight line.
3. <A ≅ <1 Congruent property of
vertically opposite angles.
4. AD + AC ≅ DC Addition property of parts
BE + BF ≅ EF of a given line segment.
5. <A + <B ≅ [tex]180^{o}[/tex] Addition property of
supplementary angles.
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What is the solution to 3/2b + 5 < 17? Explain how.
(1) b < 8
(2) b > 8
(3) b < 18
(3) b > 18
Answers
Answer:
[tex] \blue{b < 8}[/tex]
Answer 1 is correct
Step-by-step explanation:
[tex] \frac{3}{2} b + 5 < 17[/tex]
Take 5 to the right side.
[tex] \frac{3}{2} b < 17 - 5 [/tex]
[tex]\frac{3b}{2} < 12 [/tex]
Multiply both sides by 2.
[tex]3b <12 \times 2[/tex]
[tex]3b < 24[/tex]
Divide both sides by 3.
[tex]b < 8[/tex]
what phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Select three options.
positive slope
negative slope
constant slope
increasing function
decreasing function
Answers
negative slope
constant slope
decreasing function
Answer: negative slope
constant slope
decreasing function
B-C-E
Step-by-step explanation:negative slope
constant slope
decreasing function
Jane gained 25 points in the first round of a game. In the second round she lost 40 points and
on the third round she gained 10 points. Write and evaluate an expression to find how many
points Jane gained or lost.
Answers
Jane lost 5 points in the game.
Given that, Jane gained 25 points in the first round of a game. In the second round, she lost 40 points and in the third round, she gained 10 points.
We need to write and evaluate an expression to find how many points Jane gained or lost.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now, for the given situation we can write an expression as follows:
25 – 40 + 10
=25 + 10 + ( -40 )
=35 -40= -5
Therefore, Jane lost 5 points in the game.
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Anna wanted to buy a camera. The first discount store sold her favorite camera for $95. The second store sold the same camera for $115, but it was on sale for 20% off. The third store carried the camera for $105 but offered it at 10% off with a coupon. which store had the better buy?
Answers
Answer: third store
Step-by-step explanation:
1
First store: 95
Second store: 0.8*115=92
Third store: 0.9*105=94.5
Situation:
A student in Greece discovers a pottery
bowl that contains 65% of its original
amount of C-14.
N = Noe-kt
No inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Find the age of the pottery bowl to the nearest
year.
Enter the correct answer.
000
?
DONE
Answers
The age of the pottery bowl to the nearest year is 4307 years. Using exponential decay or growth formula, the required value is calculated.
What is the formula for exponential growth/decay?The formula for the exponential growth/decay is
[tex]N=N_0e^-^k^t[/tex]
Where,
N - the total amount after time t
N₀ - the initial amount
k - growth or decay rate
t - time
Calculation:It is given that,
A student in Greece discovers a pottery bowl that contains 65% of its original amount of C-14.
⇒ N(t) = 0.65N₀
But we have k = 0.0001.
Then,
[tex]N(t)=N_0e^-^k^t[/tex]
0.65 N₀ = N₀ [tex]e^{-(0.0001)t}[/tex]
⇒ 0.65 = [tex]e^{-(0.0001)t}[/tex]
⇒ ln [tex]e^{-(0.0001)t}[/tex] = ln 0.65
⇒ -(0.0001)t = -0.4307
⇒ t = 0.4037/0.0001
∴ t = 4307 years.
Thus, the age of the pottery bowl is 4307 years.
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The first and second steps to solve the equation StartFraction 3 x over 5 EndFraction + 5 = 20 are shown below. StartFraction 3 x over 5 EndFraction + 5 minus 5 = 20 minus 5 StartFraction 3 x over 5 EndFraction (Five-thirds) = 15 (five-thirds) Which property was applied in the second step?
Answers
The multiplication property of equality has been used in the second step when both sides of the equation have been multiplied by 5/3.
State the Multiplication Property of Equality:
The Multiplication Property of Equality states that multiplying both sides of the equation with the same number, expression, or variable, the equation remains unchanged, i.e. equality is maintained.
Use of Multiplication Property of Equality in the Second Step:
The given equation was,
3x/5 + 5 = 20
In the first step, subtraction property of equality is applied as follows,
3x/5 + 5 - 5 = 20 - 5
3x/5 = 15
Now, for isolating x on the left hand side, we must apply multiplication property of equality by multiplying both sides of the equation by 5/3.
We get,
3x/5 × 5/3 = 15 × 5/3
x = 25
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