Which property is illustrated by the statement 13 * 12 = 12 * 13
Answer:Commutative property of multiplication
Step-by-step explanation:
Commutative property of multiplication
Dan organized his books and DVDs into boxes. He has 88 books and 76 DVDs. What is the greatest number of boxes he could have used if he put the same number of books and the same number of DVDs into each box?
The greatest number of boxes is 4
How to determine the greatest number of boxesFrom the question, we have the following parameters that can be used in our computation:
88 books and 76 DVDs
To do this, we simply calculate the GCF
So, we have the following representation
88 = 2^2 * 11
76 = 2^2 * 19
This gives
GCF = 2^2
GCF = 4
The greatest number of boxes he could have used is 4 boxes.
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Please help me with the question.
Answer:
MN = 7x + 3
Step-by-step explanation:
Because MN connects the midpoints M and N of AD and BC respectively
MN is the midsegment of trapezoid ABCD , then
MN = [tex]\frac{AB+DC}{2}[/tex]
AB + DC = 6x + 7 + 8x - 1 = 14x + 6
MN = [tex]\frac{14x+6}{2}[/tex] = [tex]\frac{14x}{2}[/tex] + [tex]\frac{6}{2}[/tex] = 7x + 3
Given the function of f(x)
To evaluate [tex]f(g(3))[/tex], we need to first evaluate g(3), then evaluate f(g(3)).
[tex]$$g(3)=7 \cdot 3^2+6 \cdot 3+2=65$$[/tex]
How to solve the given equation?A relationship between a number of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs that are individually connected to exactly one output. There are two domains or scopes for each function. f is typically used to represent functions (x). The input is x. Y = f is a common way to represent the function (x).
To evaluate [tex]f(g(3))[/tex], we need to first evaluate g(3), then evaluate f(g(3)).
[tex]$$g(3)=7 \cdot 3^2+6 \cdot 3+2=65$$[/tex]
So
[tex]f(g(3))=f(65)=\frac{1}{2} \cdot 65-4=\frac{1}{2} \cdot 65-4=28[/tex]
To evaluate [tex]g(f(8))[/tex], we need to first evaluate [tex]f(8)[/tex], then evaluate [tex]f(8)[/tex].
[tex]f(8)=\frac{1}{2} \cdot 8-4=2\\\\g(f(8))=g(2)=7 \cdot 2^2+6 \cdot 2+2=46\\g(f(8))=46[/tex]
[tex]g\left(\frac{1}{8}\right)=7\left(\frac{1}{8}\right)^2+6 \cdot \frac{1}{8}+2=\frac{121}{8}+\frac{3}{2}+2=\frac{135}{8}[/tex]
[tex]f\left(g\left(\frac{1}{8}\right)\right)=f\left(\frac{135}{8}\right)=\frac{1}{2} \cdot \frac{135}{8}-4=\frac{135}{16}-4=\frac{135-64}{16}=\frac{71}{16}\\f\left(\frac{1}{2}\right)=\frac{1}{2} \cdot \frac{1}{2}-4=-4[/tex]
So,
[tex]$$f\left(f\left(\frac{1}{2}\right)\right)=f(-4)=\frac{1}{2} \cdot-4-4=-8-4=-12$$[/tex]
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Consider statmet
None of the members of the club can vote.
For each statement below, determine whether it is a negation of the given statement.
Every member of the club can vote. Yes or No
At least one member of the club cannot vote. Yes or No
Some members of the club can vote. Yes or No
At least one member of the club can vote. Yes or No
The negation of the given statement
Some members of the club can vote.At least one member of the club can vote.What is Negation of statement?In Mathematics, the negation of a statement is the opposite of the given mathematical statement.
Given:
Statement: None of the members of the club can vote.
We have to focus on the word "None" and the negation of word None is Some or at least.
So, Every member of the club can vote is not negation of the statement.
and, At least one member of the club cannot vote is not negation of the statement.
and, Some members of the club can vote is negation of the statement.
and, At least one member of the club can vote is negation of the statement.
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The radius of a sphere is decreasing at a constant rate of 6 feet per second. At the instant when the volume of the sphere is 163 cubie feet, what is the rate of change of the volume? The volume of a sphere can be found with the
cquation V =4/3pi r^3. Round your
The rate of change of the volume is 871.2 ft³/sec
What is rate of change of volume?Rate of change of volume is the change in volume with time.
The rate of change of radius is 6 feet per second.
rate of change in volume = dv/dt
rate of change in radius = dr/dt
to find radius of the sphere;
V = 4/3 πr³
163 = 4/3 x3.14r³
r³ = 163× 3)/4×3.14
r³ = 488/12.56
r³ = 38.85
r = 3.4 feet
therefore
dr/dt = 1/4πr² × dv/dt
= 6 = 1/4×3.14× 3.4² × dv/dt
dv/dt = 6×4× 3.14× 3.4²
dv/dt = 871.2 feet³ per second
therefore the rate of change of the volume is 871.2 feet³ per second
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a video has 42 thumbs down what integer represents its score in points
Answer: -42
Step-by-step explanation:
The price of a phone is decreased by 19% and now is $319.14. Find the original price
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
what is percentage ?In arithmetic, a percentile is a number or statistic that is given as a fraction of 100. Occasionally, the acronyms "pct.," "pct," nor "pc" are also used. But it is broadly classified into the following by the cent sign, "%." The % amount has no characteristics. Percentages are essentially integers when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it close to it. For instance, you score a 75% if you properly answer 75 so out 25 pages on a test (75/100). Divide the money by the whole and multiply the results by 100 you compute percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Put this together using the conditions given: 319.14 / (1- 19%)
Determine the total or difference: 319.14 / 0.81
Diminish the fraction: 394
Response: 394
The cost of a phone has lowered by 19% to $319.14 from its original $394 pricing.
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The length-to-width ratio of a television screen is 4 to 3. Mya bought a television with a length of 32 inches. What is the width of the television?
a. 16 inches
b. 24 inches
c. 30 inches
d. 42 inches
⇒SOMONE I NEED HELP ASAP
find the domain and range of the relation
{(22,21), (5,-16), (20, -24), (-17,4), (-9,2)}
Homework 1 triangle mid segments
The triangle mid-segments will be the two opposite or adjacent sides of a triangle.
What is the triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angle of triangle = 180
A line connecting the midpoints of two of a triangle's sides is known as the midsegment. There are always three midsegments in a triangle. The midsegment between any two sides of a triangle is parallel to and half the length of the third side, according to the Triangle Midsegment Theorem, often known as the midsegment theorem.
A midsegment of a triangle is a line segment that joins the midpoints or center of two opposite or adjacent sides of a triangle.
Hence The triangle mid-segments will be the two opposite or adjacent sides of a triangle.
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Complete question:
Define the triangle mid segments.
Ada left home for school at 6:50am and got to school at 7:15am.
How many minutes does it take him to get to school?
Answer:
25 min
Step-by-step explanation:
60-50=10
10+15=25
Step-by-step explanation:
from 6:50am to reach 07:00 it takes 10min and he reach at 07:15am means another 15 min added10min + 15 min=25minDIRECTIONS: Use this information to answer Parts A and B. −5=−y−3x Question 1 Part A Write the equation in slope-intercept form. Enter the correct equation in the box.
Answer:
y=3x+5
Step-by-step explanation:
tjrjrkrlrorlp3ñ34mrmrr
Answer:
y=mx+c
Step-by-step explanation:
-5/y=3x meaning that y=mx+c, hope this helps :)
Which of these is NOT a way to show that two figures are congruent?
If two figures can be mapped onto one another or if all pairings of angles and side lengths are congruent, the figures are said to be congruent.
What is Triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
What is the condition to be congruent?If two triangles are the same size and shape, they are said to be congruent. To establish that two triangles are congruent, not all six matching elements of either triangle must be located. There are five requirements for two triangles to be congruent, according to studies and trials. The congruence properties are SSS, SAS, ASA, AAS, and RHS.
here, we have,
Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle.
In Δ PQR and ΔXYZ, as shown in figure,
we can identify that PQ = XY, PR = XZ,
and QR = YZ
and ∠P = ∠X,
∠Q = ∠Y and ∠R = ∠Z.
Then we can say that Δ PQR ≅ ΔXYZ.
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using numerators that are even numbers, write two different substraction that each have a different of 1
The two different subtraction that each have a different of 1 are 1/2 and 1/2
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
To solve the problem we must know about fractions.
The number should be odd, therefore, the number should be 1, 3, 5, 7, etc.
1 9/8 - 5/8 = 4/8 = 1/2
2 7/8 -5/4 = 2/4 = 1/2
These for the two different subtraction that each have a different of 1
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Write down the complex number that has a real part 0 and an imaginary part ✓11
Answer:
0 + 11i
Step-by-step explanation:
A complex number is a number in the form a + bi, where a is the real part and b is the imaginary part. In this case, the real part is given as 0 and the imaginary part is given as 11. Therefore, the complex number is:
0 + 11i
where 0 is the real part and 11i is the imaginary part.
Are you able to find the area of the following figure?
A: Yes the area can be found by adding four and the seven and dividing by two
B: No you are not able to find the area because one side length is missing
C: Yes the area can be found by multiplying the 4 and 7 and then dividing the product by two.
D: No you are not able to find the area because the numbers are both irrational numbers
C: Yes the area can be found by multiplying the 4 and 7 and then dividing the product by two.
This is the same as using the formula [tex]A=\frac{1}{2}bh[/tex].what type of help is provide by international organizations to your. community
International organizations provide various types of help to communities around the world.
Some of the common forms of help include:
Humanitarian aid: This includes providing food, water, shelter, and medical assistance during natural disasters, conflicts, and other emergencies.Health programs: International organizations work with local communities to improve health outcomes and prevent the spread of diseases.Economic development: International organizations provide support for job creation, entrepreneurship and sustainable economic growth.Education: Organizations like UNICEF and UNESCO work to improve education opportunities for children and adults in communities around the world.Infrastructure development: International organizations provide funding and technical assistance to build roads, bridges and other infrastructure projects.Environmental protection: International organizations work to protect natural resources and ecosystems in communities around the world.Human rights: Organizations like Amnesty International work to defend human rights and promote equality and justice in communities around the world.Learn more about international organizations here: brainly.com/question/27176025
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Please solve
-5|x+3|-3=-15
I got the x + 3 =12/5 part but I don’t know what to do after that
please help me including the steps to get the next part.
Thank you!
To solve the equation, you can use the following steps:
Start by isolating the absolute value expression on one side of the equation:
-5|x+3| = 18
Now, since the absolute value is positive, it has two solutions:
x + 3 = -18 or x + 3 = 18
Solving for x in each case:
x = -21 (if x + 3 = -18) or x = 15 (if x + 3 = 18)
So the two solutions to the equation are x = -21 and x = 15.
What is the estimated product? 93 x .26
Answer:
2418
Step-by-step explanation:
Step 1: Setup
Set up your multiplication problem like this:
9 3
x 2 6
Step 2: Multiply
3 x 6 = 18. Put 8 below the line and 1 as a reminder on top:
1
9 3
x 2 6
8
Step 3: Multiply
6 x 9 = 54. Take 54 and add 1 from the previous step to get 55. Enter 55 at the bottom:
9 3
x 2 6
5 5 8
Step 4: Add 0
Enter a 0 at the bottom right as a place holder, because you now move over one digit:
9 3
x 2 6
5 5 8
+ 0
Step 5: Multiply
2 x 3 = 6. Put 6 below the line and 0 as a reminder on top:
0
9 3
x 2 6
5 5 8
+ 6 0
Step 6: Multiply
2 x 9 = 18. Take 18 and add 0 from the previous step to get 18. Enter 18 at the bottom:
9 3
x 2 6
5 5 8
+ 1 8 6 0
Step 7: Add to get an answer
Add up the bottom two numbers (558 + 1860 = 2418) to get the answer:
9 3
x 2 6
5 5 8
+ 1 8 6 0
= 2 4 1 8
The bottom line is the answer. Therefore, 93 times 26 equals:
2418
help... ME!!
which boxes have a volume of 96 cubic feet?
Answer:
Option B) A and C
Step-by-step explanation:
Part a:Cell phone usage grew about 23% each year from 2010 to 2016. If cell phone usage in 2010 was 43 million, write a function f(x) to model U.S. cell phone usage over that time period, where x is the number of years since 2010.
Part b estimate the cell phone usage in 2013.round to the nearest ten thousand.
Answer:
The function f(x) to model U. S. cell phone usage over the time period of 2010 to 2016 can be expressed as f(x) = 43 * (1.23^x), where x is the number of years since 2010. Part b: The estimated cell phone usage in 2013 can be calculated by substituting x = 3 into the function f(x) = 43 * (1.23^x). This yields an estimated cell phone usage of 68.4 million in 2013, which can be rounded to the nearest ten thousand to 68 million.
Step-by-step explanation:
Examine the triangle below, what is the length of p = (round to the
tenth)
The length of side p of the triangle rounded to the nearest tenth is 7.5.
What is the length of side p?The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
It is expressed as;
p = √( n² + m² - ( 2nm × cosθ ) )
Given the figure in the diagram;
m = 13n = 11Angle P = 35°p = ?Plug the values into the above formula and simplify.
p = √( n² + m² - ( 2nm × cosθ ) )
p = √( (11)² + (13)² - ( 2 × 11 × 13 × cos( 35 ) ) )
p = √( 121 + 169 - ( 286 × cos( 35 ) ) )
p = √( 290 - ( 286 × cos( 35 ) ) )
p = √( 290 - 234.27748 )
p = √( 290 - 234.27748 )
p = √55.72252
p = 7.5
Therefore, the value of p is 7.5.
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The solution to the system of equations below is (x, y). What is the value of x?
3x + y = 13
2x - 4y = 18
The system of equations is solved and the value of x = 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
3x + y = 13 be equation (1)
Let the second equation be represented as B
Now , the value of B is
2x - 4y = 18 be equation (2)
Multiply equation (1) by 4 , we get
12x + 4y = 52 be equation (3)
Adding equation (2) and equation (3) , we get
14x = 70
Divide by 14 on both sides of the equation , we get
x = 70/14
x = 5
Substitute the value of x in equation (1) , we get
15 + y = 13
Subtracting 15 on both sides of the equation , we get
y = -2
Hence , the value of x and y is 5 and -2 respectively
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Question 4(Multiple Choice Worth 2 points)
(Ratios MC)
In baseball, each time a player attempts to hit the ball, it is recorded. The ratio of hits compared to total attempts is their batting
average. Each player on the team wants to have the highest batting average to help their team the most. For the season so far,
Jana has hit the ball 7 times out of 10 attempts. Tasha has hit the ball 10 times out of 16 attempts. Which player has a ratio that
means they have a better batting average?
O Tasha, because she has the lowest ratio since 0.7 < 0.625
O Tasha, because she has the highest ratio since
56 50
80 80
O Jana, because she has the highest ratio since 5650
80 80
O Jana, because she has the lowest ratio since 0.7 < 0.625
The correct answer is Tasha, because she has the highest ratio since 0.625 > 0.7.
What is ratio?Receive is a comparison between two or more quantities expressed as a fraction or a set of relative quantities it is used to compare the size of one number to another or the compare changes overtime ratio can be expressed in word as fraction or decimal receiver in important concept in mathematics used to analyse data and solve problem.
Tasha has hit the ball 10 times out of 16 attempts, which means her batting average is 0.625. Jana has hit the ball 7 times out of 10 attempts, which gives her a batting average of 0.7. Therefore, Tasha has the better batting average.
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prishna and marc 16 miles per hour and 12 miles per hour
-The diagram shows a triangular prism.
-The base, ABCD, of the prism is a square side 14cm.
-Angles ABE and CBE are right angles.
-Angle EAB =32 degrees
-M is the point on DA such that DM : MA = 3:4
-Calculate the size of the angle between EM and the base of the prism.
-Give your answer to 1 decimal place.
The size of the angle between EM and the base of the prism is equal to 28.5°.
How to calculate the size of the angle between EM and the base of the prism?First of all, we would determine side length MA based on the ratio between side lengths DM and MA as follows;
DM : MA = 3 : 4
Total side parts = 14 cm
(3 + 4) parts = 14 cm
7 parts = 14 cm
1 part = 2 cm
Therefore, side length MA = 2 × 4 = 8 cm.
By applying Pythagorean's theorem to right triangle MAB, we have the following:
c² = a² + b²
Where:
a, b, and c represents the side lengths of a right triangle.
c² = 8² + 14²
c² = 260
c = √260
c = 16.1245 cm.
By applying tan trigonometry to right triangle AEB, we have:
tanθ = opposite/adjacent
opposite = tan32° × 14
opposite = 8.7482 cm.
By applying tan trigonometry to right triangle EMB, we have:
tanθ = opposite/adjacent
θ = tan⁻¹(opposite/adjacent)
θ = tan⁻¹(8.7482/16.1245)
θ = tan⁻¹(0.5425)
θ = 28.5°.
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find the number of degrees moved by the minute hand of a clock in the give amount of time 2/3 hour ??
The number of degrees moved by the minute hand of a clock in 2/3hours is 240°
What is angle at a point?Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360 °.
The hand of minute will move 360° to complete an hour.
If a full round will make angle at a point. Which is 360°
Therefore 2/3 of an hour will give an angle of 2/3 of 360°
= 2/3 × 360
= 240°
therefore the number of degrees moved by the minute hand in 2/3 hour is 240°
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Here is my question. It's for my 6th Grade ALEKS.
Answer:
Step-by-step explanation:
i do 6th grade aleks too!
Use the definition of continuity and the properties of limits to show that the function is continuous at x = 3.
The given function is continuous at x = 3, RHL = LHL = F(3)
What is continuity ?In mathematics, The function is called as continuous at the particular value of x, if right hand limit, left hand limit and the value of function at x all are equal.
RHL = LHL = F(x)
Limit exist and continuous
Given that,
F(x) = x² + 5(x - 2)⁷
To check whether it is continuous at x = 3
First taking LHL,
[tex]\lim_{h \to \00 } F(x)[/tex]
[tex]\lim_{h \to \00 }[/tex] (3-h)² + 5(3 - h - 2)⁷
⇒ 9 + 5
⇒ 14
Now, taking RHL
[tex]\lim_{h \to \00 }[/tex] (3+ h)² + 5(3 + h - 2)⁷
⇒ 9 + 5
⇒ 14
The value at x = 3
F(3) = 3² + 5(3 - 2)⁷
= 14
Hence Proved, RHL = LHL = F(3)
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