The length of the block is the length of the sides of three cubes from the prism shown.
\(\begin{gathered} \text{Length of one side of cube =1cm} \\ \text{Length of the sides of three cubes=3}\ast1cm=3\operatorname{cm} \end{gathered}\)Thus the length of the prism is 3cm.
The width of the block is the length of the sides of three cubes.
\(\text{ wi}\differentialD tth\text{ of sides of three cubes}=3\ast1cm=3\operatorname{cm}\)Width is 3 cm
Height is length of sides of 4 cubes.
\(\text{Height =4}\ast1\operatorname{cm}=4\operatorname{cm}\)B. Product of height , width and length is
\(\text{lbh}=3\ast3\ast4=36\operatorname{cm}^3\)C. There are 36 cubic centimeters in the block, since the volume or lbh is 36 cubic centimeters.
What does 2-for-1 split mean
Answer:
you two shares for every one share of a company you own
Step-by-step explanation:
Classify the polynomial by degree and number of terms: 3x ^ 4 - 3x ^ 2 - 7x
Cubic Binomial
Quintic Trinomial
Cubic Trinomial
Quartic Trinomial
The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.
The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.
Here's the breakdown of the classification:
Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).
Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.
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Answer:Quartic trinomial
Step-by-step explanation:
Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.
Which equation represents the relationship of the
measure of m X and mZY?
O m2X = m_Y
O mzx + m_Y = 90°
0 m2X + m2Y = 100°
O m2X + m_Y = 180°
The correct statements are,
⇒ m ∠x + m ∠y = 180°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Angles are shown in figure.
Now, By definition of supplementary angle, we get;
⇒ m ∠x + m ∠y = 180°
Thus, The correct statements are,
⇒ m ∠x + m ∠y = 180°
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Help quickly pleaseee
Answer:
I'm corona positive and isolated feeling depressed just logged in to talk someone but people ignoring me thanks for this behaviour got disappointed bye everyone logging out had a great time
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Need help asap
Will mark you brainlist
Help meeeeeeeeeeeeeeee
Answer:
75
Step-by-step explanation:
f(4) means to use 4 in place of x.
f(x) = 3(5)^(x-2)
fill in 4 for
f(4) = 3(5)^(4-2)
do the 4-2 subtraction first
f(4) = 3(5)^2
do the 5 to the 2nd power next.
f(4) = 3(25)
last, multiply.
f(4) = 75
This is just following the typical order of operations.
Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21 of a foot of ribbon left.
QUESTION: How much ribbon did Ali start with?
The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).
The quantity of ribbon attached to the rearview mirror = 2/7
The remaining quantity of ribbon after the attachment = 10/21
The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)
Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.
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I NEED A EXPLAINATION
Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
-1.79, 2, 2.54, - 4
2.54,2,-1.79,-4
Step-by-step explanation:
gretest is 2.54 because 2.54 is nearer to 3so it is greatest. then 2 is smaller than 2.54 and then -1.74 and -4 because the number which is greater in negative is the most smallest number.
for , another example -1 is greater than-100.
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Looking at the table above ,
A. What would you consider as the independent variable in this situation ? Introduce the symbol/ name (x,t,...) you will use to represent this variable . Remember to include the units.
B. What is the dependent variable ? Introduce the symbol /name for this variable . Remember the units .
The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.
The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.
The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.
An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.
In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).
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An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months
Apply
14. The table shows the record high temperature, in degrees
Fahrenheit (°F) or degrees Celsius (°C), of certain states. The
formula F = 1.8C + 32 can be used to convert between degrees
Celsius and degrees Fahrenheit. What is the difference, in
degrees Celsius, between Nevada's record high temperature
and Alaska's record high temperature? Round to the nearest
tenth.
State
Alaska
Florida
Nevada
Texas
Record High
Temperature
38°C
109°F
125°F
49°C
6
Write an one-step inequality that represents the given situation,
Chris went to the pet store to buy 5 goldfish for his fish tank. He spent less than $15 in all to buy
the fish. Let frepresent the cost of each goldfish,
Quatre ouvriers mettent 12 jours pour réaliser un travail. Dans les mêmes conditions combien de temps mettraient six ouvriers pour réaliser ce travail ?
Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
A solenoid has a magnetic field of magnitude 0.50T when carrying a current of 400 A. The solenoid is 8.0 m long. What is the number of turns in this solenoid, assuming that it is an ideal solenoid?
Answer:
The correct answer is "995.22 turns".
Step-by-step explanation:
The given values are:
Magnetic field,
B = 0.50 T
Current,
i = 400 A
Length of solenoid,
L = 8.0 m
As we know,
⇒ \(B=\mu_0ni\)
then,
⇒ \(n=\frac{B}{\mu_0i}\)
On substituting the given values, we get
⇒ \(=\frac{0.50}{4 \pi\times 10^{-7}\times 400}\)
⇒ \(=\frac{0.50}{5.024\times 10^{-4}}\)
⇒ \(=995.22 \ turns\)
Jamal's car averages 18.4 miles per gallon. How far can he expect to drive on 9.2 gallons of gas?
Answer:
169.28
Step-by-step explanation:
18.4x9.2=169.28
Maggie claims that there are transformations that preserve the length of the rectangles sides. which of the following could NOT be used to support Maggie’s claim?
A. a dilation of scale factor 1 through center C
B. a rotation of 90 degrees clockwise about vertex Q
C. a reflection over the side RS
D. a vertical stretch of scale factor 2 through center C
Answer:
D. a vertical stretch of scale factor 2 through center C
Step-by-step explanation:
Given
Claim that there are transformations that keep the length of a rectangle
Required
Which can not be used to prove this claim
From the list of given options: option (a) to (c) can be used by Maggie to back up her claim because:
(a) Scale factor of 1 do not alter the length
(b and c) Rotation and Reflection do not change the length
However
(d) doubles the length of the rectangle
Hence, (d) is correct.
Which statement is true?
Parallelograms are trapezoids.
A square is always a rhombus.
A rhombus is always a square.
A rectangle is a trapezoid.
Answer:
A square is always a rhombus.
Explanation:
A square has 4 sides of equal length.
Answer:
A square is always a rhombusStep-by-step explanation: trapezoids have 3 angles and 3 sides so in that case rectangles and parallelograms are not trapezoids.rhombuses aren't always squares.Solve for x: 3.8x − 2(x − 9) = 4.4x + 5
Answer:
\(x=5\)
Step-by-step explanation:
So we have the equation:
\(3.8x-2(x-9)=4.4x+5\)
Distribute the -2:
\(3.8x+(-2x+18)=4.4x+5\)
Combine like terms on the left:
\(1.8x+18=4.4x+5\)
Subtract 1.8x from both sides. The left cancels:
\(18=2.6x+5\)
Subtract 5 from both sides. The right cancels:
\(13=2.6x\)
Divide both sides by 2.6:
\(x=13/2.6\)
Simplify (multiply both layers by 10 to get rid of the decimal):
\(x=130/26\)
Reduce (divide both layers by 26):
\(x=5\)
So, the value of x is 5.
Answer:
5
Step-by-step explanation:
Step 1:
3.8x - 2 ( x - 9 ) = 4.4x + 5
Step 2:
3.8x - 2x + 18 = 4.4x + 5
Step 3:
1.8x + 18 = 4.4x + 5
Step 4:
18 = 2.6x + 5
Step 5:
13 = 2.6x
Answer:
5 = x
Hope This Helps :)
Alvin owns a farm with 3 cows, 20 chickens, and 12 ducks while Tom owns a farm with 2 cows, 2 goats, and 12 ducks. Alvin's total income in a week is RM700 and Tom earns RM900 a day. Then Alvin's wife had an affair with Tom's wife and Alvin beat the outta Tom in a bar that is 3km away from their farms. How much is the average cost to pay for Alvin and Tom's settlement and what is X?
Alvin owns a farm with 3 cows, 20 chickens, and 12 ducks. The number of people to find the average cost to pay for their settlements is RM3500.
What is average cost?Generally, To find the average cost to pay for Alvin and Tom's settlement, you will need to add together the total income for both Alvin and Tom and then divide that number by the number of people (in this case, two).
First, let's calculate Tom's weekly income. If Tom earns RM900 a day and there are 7 days in a week, then Tom's weekly income is 900 * 7 = RM6300.
Then, we can add together Alvin's income of RM700 and Tom's income of RM6300 to get the total income for both farmers: 700 + 6300 = RM7000.
Finally, we can divide the total income by the number of people to find the average cost to pay for their settlements:
7000 / 2 = RM3500.
So the average cost to pay for Alvin and Tom's settlement is RM3500.
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answer these 2 qns if possible or atleast one
1. The percentage of maize flour is given as 16.7 %
2. The common ratio of the GP is r = 1.5.
How to solve for the common ratio1. We have to set up equation
60x + 90(1 - x) = 85
60x + 90 - 90x = 85
now we have to solve for the value of x
-30x = -5
x = 5 / 30
x = 0.167
Hence percentage of maize flour is given as 16.7 %
2. a + ar = 20 (1)
ar + ar^2 = 30 (2)
We can rearrange equation (1) to get an expression for a:
a = 20 / (1 + r)
Now, we can substitute a into equation (2) to get an equation only in terms of r:
\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)
Solving this quadratic equation, we get:
We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.
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Make congruent angles. Write down the ratios.
Answer:
Ratio=BG/RT=RA/BA=TA/AG
Step-by-step explanation:
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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find an equation that passes through (1 ,2) and is parallel y=3x-9
Answer:
A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is the point (1, 2)
Substituting the values we get:
y - 2 = 3(x - 1)
Simplifying the equation we get:
y - 2 = 3x - 3
y = 3x - 1
Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .
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based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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Jun lives 8 km south of Yue.
Jun leaves home and walks 6 km to a lake.
She walks on a bearing of 070°.
to return to h
Yue leaves home and walks to meet Jun at the lake.
How far, and on what bearing, must she walk?
Yue should walk on a bearing of angle 110° to reach the lake.
The angle between the line connecting Yue to the lake and the line connecting Jun to the lake is 180° - 70° = 110°, we know that θ + 110° = 180°, or θ = 70°.
Using trigonometry, we can set up the following equation:
tan(70°) = d/8
Solving for d, we get:
d = 8 tan(70°) = 22.4 km
Therefore, Yue must walk about 22.4 km to reach the lake.
To find the bearing she should walk on, we can use the fact that she is walking directly towards Jun's starting point.
Since Jun's starting point is due north of the lake, Yue must walk on a bearing of 180° - 70° = 110°
Therefore, Yue should walk on a bearing of 110° to reach the lake.
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Point B is between A and C.
AB=4x - 6, BC=2x+2, and AC=44 in.
Find AB and BC.
A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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