Therefore , the solution of the given problem of area comes out to be AB/DC =5 Imagine that your square is made out of more compact unit squares.
What is area?Area is the quantity that describes how much space .A surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.
Since the heights of both trapezoids are equal, and the area of ABEF is twice the area of FECD, AB+ EF/2 = 2(DC+EF /2) AB + EF / 2= DC + EF,
AB + EF = 2DC + 2EF. EF is exactly halfway between AB and DC, so EF = AB + (AB+ DC)/2 = 2DC+ AB + DC, so 3/2 AB + 1/2DC = 3DC+AB, 1/2AB =5/2DC => AB/DC =5 Therefore , the solution of the given problem of area comes out to be AB/DC =5.
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1
Which line is pointing to the cell body?
A. 1
B. 2
C. 4
D. 5
2
3
4
5
Image by Dhp 1080
The line 2 is pointing towards the body of the cell, in the given image of a neuron.
What is cell body?The soma, or cell body, is the spherical part of the neuron that houses the nucleus. The cell body is linked to the dendrites, which transport information to the neuron, and the axon, which sends information to other neurons.
When one neuron receives information from another, the dendrites send it to the cell body. Depending on the signal strength, the cell body may then send the information to the axon.
The cell body's role is to regulate all of the cell's functions. It has several important organelles that aid in this process. Organelles are tiny organelles found within cells that each perform a specific function. The nucleus is the most important organelle within the cell body.
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what number goes into 2556 without a remainder
Answer:
Step-by-step explanation:
Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278. There are 17 integers that are factors of 2556. The biggest factor of 2556 is 1278. Positive integers that divides 2556 without a remainder are listed below.
Every number is divisible by itself and 1.
Calculating factors of 2556
2556/1 = 2556 gives remainder 0 and so are divisible by 1
2556/2 = 1278 gives remainder 0 and so are divisible by 2
2556/3 = 852 gives remainder 0 and so are divisible by 3
2556/4 = 639 gives remainder 0 and so are divisible by 4
2556/6 = 426 gives remainder 0 and so are divisible by 6
2556/9 = 284 gives remainder 0 and so are divisible by 9
2556/12 = 213 gives remainder 0 and so are divisible by 12
2556/18 = 142 gives remainder 0 and so are divisible by 18
2556/36 = 71 gives remainder 0 and so are divisible by 36
2556/71 = 36 gives remainder 0 and so are divisible by 71
2556/142 = 18 gives remainder 0 and so are divisible by 142
2556/213 = 12 gives remainder 0 and so are divisible by 213
2556/284 = 9 gives remainder 0 and so are divisible by 284
2556/426 = 6 gives remainder 0 and so are divisible by 426
2556/639 = 4 gives remainder 0 and so are divisible by 639
2556/852 = 3 gives remainder 0 and so are divisible by 852
2556/1278 = 2 gives remainder 0 and so are divisible by 1278
2556/2556 = 1 gives remainder 0 and so are divisible by 2556
Which expression is equivalent to 2.5(x - 1) + 4.5(-x - 2)?
A cookery course is divided into two groups. In group X, the average score in the test was 76. In group Y, the average score in the test was 70. If the average score of all 30 trainees in the course was 74, how many trainees are in group X
On solving the provided question, we can say that by equation 8 trainees are in group X
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
Let a be the number of trainees in group X
76*a + 70 (30 - a) = 30*74
76a + 2,100 - 70a = 2,220
6a = 120
a = 20
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Why is Avogadro's number 6.02 x10 23?
The value of Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as Avogadro's number.
What is one mole?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.
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A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.
a) The ranges that each child's actual height falls within is ;
Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.
b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.
Error interval: What does it mean?A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.
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A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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How many divisors of 4! x 3! x 2! x 1! are perfect squares?
There are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.
What is Number system?A number system is defined as a system of writing to express numbers.
The factorial 4! is 24
Factorial value of 3!=6
Factorial value 2!=2
Factorial value 1!=1
4! x 3! x 2! x 1! =24×6×2×1=288
288 can be written as a product 2 and 144 which are perfect squares.
So 2 and 144 are the divisors of 4! x 3! x 2! x 1!
Hence, there are 2 divisors of 4! x 3! x 2! x 1! which are perfect squares.
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In the figure shown, what is the value of x?
Answer:
Step-by-step explanation:
SHOW HIGH CLARITY IMAGE, BUT USE CONGRUENCE OF TRINALGES AND FIND X BY EQUATING THE GIVEN SIDE I GUESS
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Which negative angle is equivalent to a 75° angle?
O A. An angle measuring -105°
B. An angle measuring -275°
C. An angle measuring -75°
D. An angle measuring -285°
Answer:
maybe c?... I'm sorry that's just my educated guess..
the greatest common factor of 12x-18
Answer:
6
Step-by-step explanation:
The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.
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Help me ASAP!!!! Please asap!!! I will give 50 points for the correct answer!
Answer:
10
Step-by-step explanation:
The equation of a triangle is that all the angles add up to 180°.
So,
180 = 90 + 27 + (6x+3)
180 = 117 + (6x+3)
( Subtract 117)
63 = (6x+3)
( Subtract 3)
60 = 6x
( Divide by 6)
10 = x
Is 4/10 less than 4/6?
Answer:
No. 4/10 >4/6
Step-by-step explanation:
I hope this helps you :)
please help I’ll mark brainliest
I don’t know this question
Help me
Answer: Probably negative 69
Rule 1: Multiply by 2, then add 1/3 starting from 1. Rule 2: Add 1/2, then multiply by 4 starting from 0. What is the fourth ordered pair using the two sequences
Answer:
(10 1/3, 42)
Step-by-step explanation:
a1 = 1
a2 = a1×2 + 1/3 = 2 1/3
a3 = a2×2 + 1/3 = (a1×2 + 1/3)×2 + 1/3 = a1×4 + 2/3 + 1/3 =
= 4 + 3/3 = 5
a4 = a3×2 + 1/3 = ... = 10 1/3
b1 = 0
b2 = (b1 + 1/2)×4 = (0 + 1/2)×4 = 1/2 × 4 = 2
b3 = (b2 + 1/2)×4 = ((b1 + 1/2)×4 +1/2)×4 = 16×b1 + 16/2 + 4/2=
= 16/2 + 4/2 = 8 + 2 = 10
or (to check we made no mistake)
= (2 + 1/2)×4 = 8 + 2 = 10. => all ok, no mistake
b4 = (b3 + 1/2)×4 = ... = (10 + 1/2)×4 = 40 + 2 = 42
so, the fourth ordered pair (= the fourth elements of each sequence) is therefore (10 1/3, 42)
The temperature in knowlton is 2.5 C colder than the terminal elmwood. Which equation shows the temperature, in C, in knowlton? 9 - 2.5 = 6.5 or 9 + 2.5 = 11.5 or -9 - 2.5 = - 11.5 or -9 + 2.5 = -6.5
The equation representing the asked situation is (9 - 2.5) = 6.5
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, The temperature in Knowlton is 2.5 C colder than the terminal Elmwood.
We know, that, if temperature is colder in any area A than another area B then, A will have less temperature than B.
Therefore, temperature in Knowlton is less than that of in Elmwood.
Therefore, if the temperature in Elmwood is 9 the temperature in Knowlton will be 9-2.5 = 6.5
Hence, the required equation is 9-2.5 = 6.5
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For problems 1 - 6, determine whether the relationships represented are A. Exponential., B. Linear., or C. Neither.
Step-by-step explanation:
a linear function is following
y = ax + b
that means the ratio of the y and x differences between the data points is constant (a).
an exponential function is in the form y = a^x. or some constant variations of it.
the base is constant (a), and the exponent of the constant is the variable (x).
1.
clearly exponential.
this is the typical graph of an exponential function.
it looks like y = 2^x, as e.g. f(4) = 2⁴ = 16, and the graph seems to be at least very close to this.
2.
exponential.
y = 3^(x - 0.5)
3¹ = 3
3² = 9
3³ = 27
3⁵ = 243
this is just y = 3^x shifted to the right by 0.5 units.
3.
linear.
the difference ratio between the data points is constant :
x is the row number (1, 2, 3, 4, 5, ...).
y is the number of seats per row (14, 16, 18, 20, 22, ...).
so,
(16-14)/(2-1) = 2/1 = 2
(18-16)/(3-2) = 2/1 = 2
...
(22-14)/(5-1) = 8/4 = 2
always constant (2).
4.
neither.
it is y = x²
when you compare 4. and 1. you see the clear difference between the 2 graphs.
5.
exponential.
remember, y = a^x.
well, here, a = 1/2. but that is still constant and doesnot change the principle.
the factor 10 stretches the graph a bit up (in fact, this 10 is the starting number of an exponential growth). but the function in its core is still exponential.
6.
linear.
when written that way, it just means that x = n, and for every increase of n by 1, y (f(n)) increases by +4.
so, the difference ratio stays constant (4/1 = 4).
No solutions which one? This is well worth your time please assist.
Answer:
Option BStep-by-step explanation:
A linear system has no solution if both lines are parallel.It is when the lines have same slope but different y-intercepts.Review the options1. Option A.
If you double the first equation, then it will be exact copy of the second one. It means the lines overlap, and there are infinitely many solutions.
No2. Option B
Both the x and y have same coefficients, it means the slopes are same. The y-intercepts are different, so the lines are parallel and no solution.
Yes3. Option C
Multiply one of the equations by -1 to get exact same of the other equation. Same as option A, infinitely many solutions.
No4. Option D
Multiply the send equation by 6 and we'll have different slopes and y-intercepts. It means the lines intersect at one point so there is one solution.
NoFind X and Y.
I really need help on this. It’s confusing.
Step-by-step explanation:
7x-2 ) + (١١x -34)
so u will get the answer
after getting it u can easy get y
i neeeed helpppppppppppppp
Answer:
y = -3x + 5/2
Step-by-step explanation:
y = -3x + 5/2
Whats the value of x?
A. 12.73
B. 9
C. 25.46
D. 31.18
Answer:
if u feel like u find the value that is correct but if u didn't find it it can be 1 the power of x can be 1
Answer:
B.9
all done hope it help
What is equal to 7 x 98
Answer:
[tex] \huge \colorbox{red}{Question}[/tex]
What is equal to 7 x 98️️️️
️️
️️️️
[tex] \huge \colorbox{green}{✍ Answer}[/tex]
7 × 98
7 × 98 = 686
Greta's bill for brunch was at a restaurant was $35. She left a 20% tip. What was the amount of the tip
Answer:
$7.00
Step-by-step explanation:
20% = 0.2
35(0.2) = 7
2/3
21 and 23 can best be described as
4
Answer:
A) Vertical angles
----------------------
1 and 3 and 2 and 4 are vertically opposite angles or vertical angles, so option A is correct.
-----------------------
hope it helps...
have a great day!!
If the total daily wages of 7 women or 5 men is $525.What will be the daily wage of 13 and 7 women and men respectively?
Answer:
Daily wages of 13 woman = $975
Daily wages of 7 man = $735
Step-by-step explanation:
Given:
Daily wages of 7 women or 5 men = $525
Find:
Daily wage of 13 women and 7 men
Computation:
Daily wages of 1 woman = 525 / 7
Daily wages of 1 woman = $75
Daily wages of 1 man = 525 / 5
Daily wages of 1 man = $105
Daily wages of 13 woman = 13 x Daily wages of 1 woman
Daily wages of 13 woman = 13 x 75
Daily wages of 13 woman = $975
Daily wages of 7 man = 7 x Daily wages of 1 man
Daily wages of 7 man = 7 x 105
Daily wages of 7 man = $735
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
☆ Emily has $16 more
Step-by-step explanation:
FOR JAXON:
You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 600 × 0.025 × 3 to get that:
The interest is: $45.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 600.00 + 45.00 = 645.00.
Jaxon will have $645 after he closes his account.
FOR EMILY
You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.
t is the time involved, 2....year(s) time periods.
So, t is 2....year time periods.
To find the simple interest, we multiply 600 × 0.051 × 2 to get that:
The interest is: $61.20
Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),
or 600.00 + 61.20 = 661.20.
Emily will have $661 when she closes her account.
☆ Therefore, Emily will have $16 more than Jaxon.
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A 140 meter rope is cut into two pieces. One piece is four time as long as the other. How long is each piece? Solve using substitution or elimination.
Answer:
28 m, 112 m
Step-by-step explanation:
x = length of short piece
4x = length of long piece
x + 4x = 140
5x = 140
x = 140/5 = 28
4x = 4(28) = 112
What is the measure of ∠A if it is complementary to ∠B that has a measure of 55?
For the given complementary angles, the measure of angle A is found to be 45°.
Define the term complementary angles?When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are referred to as supplementary angles.When two angles sum up to 90 degrees, they are complementary (a Right Angle). They don't even have to be close to one another for the total to be 90 degrees. Examples: The complimentary angles of 40° and 50°.For the stated question-
Angle A is complementary to Angles B.
So,
Angle A + Angles B = 90°
Angle A + 55° = 90°
Angle A = 90° - 55°
Angle A = 45°
Thus, the measure of angle A is found to be 45°.
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Angle A and Angle B are complementary angles. The measure of Angle A is twice the measure of Angle B.
Write and equation to represent the complementary angle relationship between Angle A and Angle B. Use the equation to find
the measure of Angle A and B. Show all of your work.
Answer:
Acc.to question,
A+B=90° (since,they are complementary angles)
or,A+ A/2=90°(since,A is. twice the measure of B)
or,3A/2=90°
or,A=(90°×2)/3
:.A=60°
Also,
B=A/2=60/2=30°