Answer:
1. 18 + 35
2. 6 * 50
3. b - 25
4. x / 4
5. t + 11
6. 100 - k
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below? 23x+9-5x
Answer:
18x+9
Step-by-step explanation:
Answer: 18x + 9
Step-by-step explanation:
1) Combine like terms 23x -5x to get a new equation of 18x + 9.
Question 3
Sam built the model shown below. It is composed of two rectangular prisms. What is the volume of the figure?
Answer:
44 in^2
Step-by-step explanation:
V = L×W×H
Bottom rectangle prism
L= 6 W= 4 H= 1
V = 6×4×1
V=24
Top rectangle prism
L= 2 W= 2 H= 5
V=2×2×5
V= 20
Add both of the rectangle prisms
24+25= 44
PLEASE HELP I WILL GOVE BRANLIST IF ITS RIGHT. Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
List 1 List 2 List 3 List 4
Which list gives the sample of space for pulling 2 marbles from the bag with replacement
The sample space for pulling 2 marbles to find the probability will be List 3.
What exactly is probability?Probability conveys how likely an event is to occur. The occurrence of a random event is the focus of this mathematical field of study. The value is in the zero to one range. Mathematicians use probability to predict the likelihood that certain events will take place.
The possibility of something happening is referred to as probability. The probability distribution also utilises this basic concept from probability theory. We must first ascertain the total number of possibilities before calculating the likelihood of a specific event.
The proportion of favourable outcomes to all possible outcomes, or P(E), determines the likelihood that an event will take place.
Now,
Given that Lloyd has a bag of 3 marbles. There is 1 orange marble, 1 green marble, and 1 blue marble.
So no. of ways to pick first ball = 3
as there are three type of balls
and no. of ways to pick second ball= 3 as replacement is allowed.
Therefore total sample space = 3*3=9
Hence,
The sample space for pulling 2 marbles will be List 3.
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For the given set, first calculate the number of subsets for the set, then calculate the number of proper subsets.
{10, 15, 14, 20, 11}
...
Step-by-step explanation:
A set is a collection of distinct elements, and a subset is a collection of elements taken from a larger set. In this case, the set is {10, 15, 14, 20, 11}.
To calculate the number of subsets, we can use the formula for the number of subsets of a set with n elements, which is 2^n. So, the number of subsets of the set {10, 15, 14, 20, 11} is 2^5 = 32.
To calculate the number of proper subsets, we need to exclude the empty set (Ø) and the set itself from the total number of subsets. So, the number of proper subsets is 32 - 2 = 30.
Therefore, there are 32 subsets and 30 proper subsets of the set {10, 15, 14, 20, 11}.
Everyone should have free Internet access to education, news, jobs, and more.
The graph plots education and news on the x-axis and other goods and services on the y-axis.
Draw the economy's PPF before the Internet and label it PPF0.
Draw the PPF after the arrival of the Internet if the effect on education and news is greater than on other goods and services. Label it PPF1.
From the provided graph, Due to the greater impact of the internet on education and news, PPF on the x-axis (education and news axis) moves more than the shift on the y-axis.
What is graphs?Mathematicians use graphs to lοgically convey facts or values using visual representations or charts. A graph pοint will typically reflect a relationship between two or more things. Nοdes, or vertices, and edges make form a graph, a nοn-linear data structure. Glue together the nodes, often referred tο as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representatiοns of expοnential growth. a lοgarithmic graph in the shape of a triangle.
Assume that in the "οld PPF," which existed befοre the internet, equal amounts of news, educatiοn, and other commodities and services are generated.
Due to the greater impact οf the internet on education and news, PPF on the x-axis (education and news axis) moves mοre than the shift on the y-axis.
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Need help with this problem quick!!!! <3
The product of a, b, and c would be, 9/8
What is Expression?
An expression, often known as a mathematical expression, is a finite combination of symbols that is well-formed according to context-dependent principles.
First, let's simplify the expression:
[tex]\frac{6 x^y^{-1} }{\sqrt[{4} ]{(16x^5y^2)}}\\\\\ = \frac{(6x^2y^{-1} )}{4x^{\frac{5}{4} } y^{\frac{1}{2} } } \\\\[/tex]
We can simplify further by dividing both the numerator and denominator by x²:
[tex]\frac{6x^{2} y^{-1} }{4x^{\frac{5}{4} } y^{\frac{1}{2} }} \\\\= \frac{6y^{-1} }{4x\frac{3}{4} y^{\frac{1}{2} } } \\\\= \frac{\frac{6}{4} *x^{2} y^{-1} }{x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\=\frac{3}{2x^{\frac{3}{4} }y^{\frac{1}{2} } } \\\\[/tex]
So, a = 3, b = -3/4, and c = -1/2.
The product of a, b, and c is 3 * -3/4 * -1/2 = 9/8.
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please help ):
Which triangle is NOT possible given the angle measures?
a
Triangle with angle measures: 26·, 19·, and 135·
b
Triangle with angle measures: 14·, 27·, and 139·
c
Triangle with angle measures: 9·, 18·, and 153·
d
Triangle with angle measures: 8·, 17·, and 152·
Answer: d. Triangle with angle measures: 8·, 17·, and 152·
Step-by-step explanation: i did the test
The triangle not possible is option
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Let us find the sum of the angles for each triangle given.
(a) Triangle with angle measures: 26°, 19°, and 135°·
Sum = 26° + 19° + 135° = 180°
(b)Triangle with angle measures: 14°, 27°, and 139°·
Sum = 14° + 27° + 139° = 180°
(c) Triangle with angle measures: 9°, 18°, and 153°·
Sum = 9° + 18° + 153° = 180°
(d) Triangle with angle measures: 8°, 17°, and 152°·
Sum = 8° + 17° + 152° = 177°, which is not equal to 180°.
Hence the option (d) is not possible.
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Determine which consecutive integers do not have a real zero of f(x)=x²-4x²-4x+15 between them.
a. (4, 5)
C. (-2,-1)
b.
(1, 2)
d.
(-3,-2)
Answer:
option
Step-by-step explanation:
f(x)=-3x²-4x+15
if (-3,-2) is substitute
x=-3 x=-2 is substitute in above given equation we get real zero.
using the midpoint approach calculate the percentage change in price for laundry detergent that decreases from 4.10 to 3.50 as a result quantity demandd increases from 210 to 230
The percentage change in the price is 15.78% decrease.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.20% is equal to a 1/5 portion.25% is equal to 1/4 fractions.Now,
Initial price=4.1
Final price=3.5
Change=3.5-4.1= -0.6 , minus means decrease in price
final value + initial value=7.6
then
percentage change by midpoint approach = (final value-initial value) / ((final value + initial value)/2) *100
=0.6/3.8*100
=0.1578*100
=15.78%
hence,
The percentage change in the price is 15.78% decrease.
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Q.Drag each label to the correct location on the equation. Not all labels will be used.
A data analyst for a phone company is analyzing the data of 150 of their customers, which accounts for 1% of their total customers. The analyst wants to determine the average number of hours each day a customer uses their phone, for calls and for texts, during a 30-day period. Based on the data, the customers averaged 0.25 hours per day per call and 1.75 hours each day for texts. Construct an equation in the correct form of y=mx+b to represent this situation. Let t represent the number of calls made per day, and e represent the total number of hours a customer uses their phone each day.
e = ???
Answer:
The correct answer is:
e = 0.25 t + 1.75 .
Calculate the area of the triangle
find the length of the x
a^2 + b^2 = c^2
12x^2 + b^2 = 13^2
144 + b^2 = 169
b^2 = 25
b = 25; x = 5
use the formula
a = (1/2)(24)(5)
a = (1/2)(120)
area = 60
I Given that x is an Intergen write down the three lowest values of x in each of the Following. al 10-3x > 8 62 5x-27 > 7x solution
The lowest values of x are;
1. x = 1/2, x = 2/4, x = 3/6
2. x = 14, 15, 16
How to determine the valuesFrom the information given, we have that;
10-3x > 8
collect the like terms, we get;
-3x > 8 - 10
subtract the values
-3x > -2
Make 'x' the subject
x > 2/3
5x-27 > 7x
collect the like terms
5x - 7x> 27
subtract the like terms
-2x> 27
Make 'x' the subject
x > -27/2
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Martin gives 40% of £75 to his sister. How much money does Martin give to his sister?
Answer:
Step-by-step explanation:
75 x 0.40= £30
The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.62. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $.25 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. a. The desired margin of error is $.10. b. The desired margin of error is $.07. c. The desired margin of error is $.05.
The US EIA should use a sample size of at least 25 for a margin of error of $0.10, at least 49 for a margin of error of $0.07, and at least 97 for a margin of error of $0.05 to report the average price of a gallon of regular gasoline with 95% confidence.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We can use the formula for the margin of error for a 95% confidence interval:
margin of error = z× (standard deviation / √n)
where z is the z-score for a 95% confidence interval, which is 1.96.
a. The desired margin of error is $0.10:
0.10 = 1.96(0.25 /√n)
√n = 1.96×0.25 / 0.10
√n= 4.9
n = 4.9^2
n = 24.01
So the appropriate sample size for a margin of error of $0.10 is at least 25.
b. The desired margin of error is $0.07:
0.07 = 1.96 (0.25 / √n)
√n = 1.96 × 0.25 / 0.07
√n= 6.97
n = 6.97²
n = 48.53
So the appropriate sample size for a margin of error of $0.07 is at least 49.
c. The desired margin of error is $0.05:
0.05 = 1.96 (0.25 / √n)
√n= 1.96 × 0.25 / 0.05
√n= 9.8
n = 9.8²
n = 96.04
So the appropriate sample size for a margin of error of $0.05 is at least 97.
Therefore, the US EIA should use a sample size of at least 25 for a margin of error of $0.10, at least 49 for a margin of error of $0.07, and at least 97 for a margin of error of $0.05 to report the average price of a gallon of regular gasoline with 95% confidence.
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Combine the sum of the exterior angles and the sum of the interior angles of a triangle. Find the sum.
Answer:
Step-by-step explanation:
The sum of the exterior angles of a triangle is equal to 360 degrees, while the sum of the interior angles of a triangle is equal to 180 degrees.
When you combine the sum of the exterior angles and the sum of the interior angles of a triangle, you get:
360 degrees + 180 degrees = 540 degrees
So, the sum of the exterior angles and the sum of the interior angles of a triangle is equal to 540 degrees.
what is the solution set to the inequality -4x - 2 ≤ - 14
Answer:
x[tex]\geq[/tex] 3
Step-by-step explanation:
-4x -2 ≤ -14
-4x ≤ -12
x ≥ 3
Fill in the sentence below with the description that most specifically
applies to the quadrilateral below.
X
117
The quadrilateral is most specifically a
because
The quadrilateral is most specifically a square since all the sides of the quadrilateral are equal and have 90°
What is the area of a square?A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the quadrilateral be represented as ABCD
Now , the measures of the sides of the quadrilateral are
The measure of side AB = measure of side BC
And , the measure of side AB = measure of side AD
So , all the 4 sides of the quadrilateral are same so it is a square
And the measures of angles are 90° each
Therefore , the quadrilateral is a square
Hence , it is a square
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Use the Negative Area approach to depict the centroid of the section in Figure 2 beloW.
Use the reference ofigin O shown.
8cm
2cm
8cm
X
2cm
2cm
3cm
3cm
3cm
k
*
*
Figure 2
b) i. State any two (2) ways in which a structure may be deemed to lack Structural
Integrity.
(9 marks)
ii. Structural system refers to the load-resisting sub-system of a structure which transfers
loads through interconnected structural components or members. With the aid of
annotated sketches describe any two (2) of the basie types of structural systems.
A structure may lack structural integrity if it experiences overloading and material degradation.
How to explain the structureA structure may lack structural integrity if it experiences:
Overloading, where the loads placed on the structure exceed its design capacity, leading to failure of some structural components or members.
Material degradation, where the structural materials lose their strength and stiffness over time due to environmental factors such as corrosion or excessive temperature.
ii. The basic types of structural systems are:
Frame Structures, where the structural components are arranged in a series of interconnected frames that can resist lateral and gravity loads. Examples include steel frames and concrete frame structures.
Load-Bearing Wall Structures, where the structural components are arranged in a series of interconnected walls that bear the weight of the structure and transfer loads directly to the foundation. Examples include masonry and concrete walls.
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Robert scored a 42 out of 48 on Quiz-1 and Julie scored a 43 out of 50 on Quiz-2.
Who received a higher percentage?
Answer:Robert
Step-by-step explanation: 42/48 = 0.875,
43/50 = 0.86
0.875 > 0.86
differentiate (1+2x²)⁴
Answer:
16x(1+2x^2)^3
Step-by-step explanation:
f(x)=(1+2x^2)^4
Use chain rule
4(1+2x^2)^3(4x)
Hi there please help :)
Answer:
∠ a = 30° , ∠ b = 90°
Step-by-step explanation:
∠ a and 150° are a linear pair and sum to 180° , that is
∠ a + 150° = 180° ( subtract 150° from both sides )
∠ a = 30°
------------------
the sum of the 3 angles in a triangle = 180° , that is
∠ b + ∠ a + 60° = 180°
∠ b + 30° + 60° = 180°
∠ b + 90° = 180° ( subtract 90° from both sides )
∠ b = 90°
For the function
f(x)
given in the table, find the average rate of change over each specified interval.
x
0 2 2.5 3 3.8 4 5
f(x)
24 13 17 18 16 13 29
(a) [2, 5]
Incorrect: Your answer is incorrect.
(b) [3.8, 4]
The average rate of change over each specified interval is 8/3 and -10.
What is an average rate?The average rate shows the change in the function per unit, over an interval.
Given that, find the average rate of change over each specified interval.
The average rate of change is given by
f(b)-f(a) / b-a
a) [2, 5] :-
To find the average rate of change we will take the change in the function over the change in x,
f(5)-f(2) / 5-2 = 24-16 / 3 = 8/3
Therefore, the average rate of change in interval [2, 5] is 8/3
b) [3.8, 4] :-
Similarly,
f(4)-f(3.8) / 4-3.8 = 17-19 / 0.2 = -2/0.2
= -10
Therefore, the average rate of change in interval [3.8, 4] is -10
Hence, the average rate of change over each specified interval is 8/3 and -10.
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A total of tickets were sold for the school play. They were either adult tickets or student tickets. There were fewer student tickets sold than adult tickets. How many adult tickets were sold?
There were 375 adult tickets sold and 316 student tickets for the school play.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the number of student tickets would be x and the number of adult tickets would be y
As per the question, we have a system of equations:
x + y = 691 ....(i)
x = y - 59 ....(ii)
Substitute the value of x = y - 59 in equation (i),
y - 59 + y = 691
2y = 691 + 59
2y = 750
y = 375
Substitute the value of y = 375 in equation (ii), and solve for x:
x = 375 - 59
x = 316
Thus, there were 375 adult tickets sold.
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The complete question would be as:
A total of 691 tickets were sold for the school play. There were 59 fewer student tickets sold than adult tickets. How many adult tickets were sold?
There is a mother-daughter tea that will be attended by 20 mother-daughter pairs, including the hosts. The rules of conduct are very strict; the host mother-daughter will greet everyone, all the guest mothers will greet everyone, and all the guest daughters will greet all the mothers only. How many greetings will there be?
There will be a total of 741 greetings at the mother-daughter tea.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let's start by counting the number of greetings between the host mother-daughter pair and the other 19 mother-daughter pairs.
Since each pair only greets once, the host pair will make 19 greetings.
Now we need to count the number of greetings between the 19 guest mothers and the other 19 mother-daughter pairs
Each of the 19 guest mothers will greet 18 other mother-daughter pairs, for a total of 19 x 18 = 342 greetings.
Finally, we need to count the number of greetings between the 19 guest daughters and the 20 mothers
Each of the 19 guest daughters will greet 20 mothers
Total is 19 x 20 = 380 greetings.
By adding all we get 741 greetings
Therefore, there will be a total of 741 greetings at the mother-daughter tea.
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A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the area of the circle in meters?
The measurement closest to the area of the circle in meters is 379.94 sq. meters.
What is area?An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.
Given that,
diameter = 22m
radius = 22/2 = 11m
The area of the circle is:
A = πr²
Substituting the value of π = 3.14 and r = 11 we have:
A = (3.14)(11)²
A = 379.94
Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.
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BRAINLIEST
QUICKLY HELPP
Answer:
BEF
What is an angle?An angle is a measure of a turn, measured in degrees or °. Angles are made up of two rays, making the sides of the angle.
What types of angles are there?There are right angles (exactly 90 degrees), acute angles (less than 90 degrees), obtuse angles (more than 90 degrees), and reflex angles (more than 180 degrees).
Looking at the following answers provided, we can see that BEF is a proper angle, because it is made up of two rays in the proper order.
KGH on the other hand, is not. KGH would be a proper angle if it was in the correct order (GHK or KHG), but because it is not in the right order, it is not a proper angle. LEA is not a proper angle either. We know that an angle is made up of two rays, but LEA isn't, and it's the same with ADE.
Answer:
BEF and ADE
Step-by-step explanation:
These points when connected make and angle. The others do not as they sinply dont make sense or have the points in a way that makes the whole statement false.
A juice machine is set to dispense 16 ounces of juice. The amount of juice dispensed is normally distributed, with a mean of 16. 15 ounces and a standard deviation of 0. 25 ounces.
In which range will the amount of juice dispensed be found 68% of the time?
A. 15. 90 ounces to 16. 40 ounces
B. 15. 65 ounces to 16. 65 ounces
C. 15. 40 ounces to 16. 90 ounces
D. 15. 15 ounces to 17. 15 ounces
Answer:
15.40 ounces to 16.90 ounces.
Step-by-step explanation:
Simplify this expression with steps, please!
(2/4x + 3) + (1/4x - 4)
After solving the expression (2/4x + 3) + (1/4x - 4), the resultant answer is 3/4x - 1.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
The term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided.
Example of an algebraic expression: 3x + 9; 5x + 10.
So, we have the expression as follows:
(2/4x + 3) + (1/4x - 4)
Now, solve as follows:
(2/4x + 3) + (1/4x - 4)
2/4x + 3 + 1/4x - 4
2/4x + 1/4x + 3 - 4
3/4x - 1
Therefore, after solving the expression (2/4x + 3) + (1/4x - 4), the resultant answer is 3/4x - 1.
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I will give brainliest and ratings if you get this correct
A. The firm's short-run total cost curve can be calculated as TC = 2K + 4L. The short-run average cost curve function will be SAC = TC/Q, where Q is the output.
B. The firm's short-run marginal cost function is MC = 4/Q. The short-run total cost (STC) at 25 and 200 levels of output will be 800 and 2400 respectively. The short-run average cost (SAC) at 25 and 200 levels of output will be 32 and 12 respectively. The short-run marginal cost (SMC) at 25 and 200 levels of output will be 16 and 8 respectively.
C. The graph of the SAC and SMC curves is shown below.
SAC and SMC Graph
D. The SMC curve intersects the SAC curve at its lowest or minimum point because at this point, the SAC curve is at its most cost-efficient level, meaning that the firm's costs are minimized. This is because at this point, the marginal cost is lower than the average cost, meaning that the firm can produce additional units of output with a decreasing cost.
simplify the expression (m^6)^-2/3 and write your answer using a positive exponent
We have simplified the expression [tex]\mathrm{(m)^6^{(-2/3)}}[/tex] and written answer using a positive exponent that is [tex]\mathrm{\dfrac{1}{m^4}}[/tex] .
What is expression?An expression in mathematics is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)
It is possible to compare expressions to phrases. In language, a phrase by itself may contain an action, but it does not constitute a complete sentence.
The following are some examples of expressions and word phrases that they relate to:
Expression: 3 + 7
Given
⇒ [tex]\mathrm{(m)^6^{(-2/3)}}[/tex]
⇒ [tex]\mathrm{(m)^{(-12/3)}}[/tex]
⇒ [tex]\mathrm{(m)^{(-4)}}[/tex]
⇒ [tex]\mathrm{\dfrac{1}{m^4}}[/tex]
We have simplified the expression [tex]\mathrm{(m)^6^{(-2/3)}}[/tex] and written answer using a positive exponent that is [tex]\mathrm{\dfrac{1}{m^4}}[/tex]
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