The Great Wall of China is about 200 times longer then the Panama Canal
How many times longer is the Great Wall of China?Scientific notation is used to compress large numbers into smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. An examples of 100 expressed in scientific notation is 1 x 10².
In order to determine the difference in the length of the great wall of China and the Panama Canal, divide the length of the Great wall of China by the length of the Panama Canal.
(1 x [tex]10^{4}[/tex]) ÷ (5 x [tex]10^{1}[/tex])
(1/5) x [tex]10^{4 - 1}[/tex]
0.2 x [tex]10^{3}[/tex]
2 x [tex]10^{3 - 1}[/tex]
2 x10² = 200
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The if 18and 12 subtracted from 50
Answer:
20
Step-by-step explanation:
18+12=30-50
bbbbbbtbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb bbbbbbtbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Solve each equation by factoring. Check your answers.
9 x²+15 x+4=0
The factors of the equation are -1/3 and -4/3
Rewriting the equation -
9x² + 15x + 4 = 0
ax² + bx + c = 0
Factorizing the equation such that
sum of the factors should be equal to middle expression (15x in this question)product of the factors should equal to product of (a and c) (9 and 4 in this question)12 and 3 are suitable factors for solving the given expression -
9x² + 3x + 12x+ 4 = 0
Taking common factors -
3x(3x + 1) +4 (3x + 1) = 0
(3x + 1) (3x + 4) = 0
x = -1/3, -4/3
So, the two factors of expression are -1/3 and -4/3
Checking the answers by keeping each value of x in expression
When x = (-1/3)
9x² + 15x + 4 = 0
9(-1/3)² + 15(-1/3) + 4 = 0
1 -5 +4 = 0
5 - 5 = 0
0 = 0
When x = (-4/3)
9x² + 15x + 4 = 0
9(-4/3)² + 15(-4/3) + 4 = 0
16 - 20 +4 = 0
- 4 + 4 = 0
0 = 0
Since for both values of x, Left Hand Side of equation is equal to Right Hand Side of equation, the resultant factors are correct.
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Regular hexagon ABCDEF is inscribed in a circle with center H.
Regular hexagon ABCDEF is inscribed in a circle with center point H.
a. What is the image of segment BC after a 120-degree clockwise rotation about point H?
Answer:
Step-by-step explanation:
the image of BC reflecting over FC is DC.
Identify the domain and range of the relation. Write your answers as lists of numbers.
((-4,-4), (1, 3), (0, 5), (3, 9)}
Answer:
The domain is -4,1,0,3
The range is -4, 3, 5, 9
Step-by-step explanation:
Domain is the x intercept
range is the y intercept
hope this helps!
The following data displays ages in which people started wearing braces. Use the data
below to answer questions 1-4:
14, 14, 15, 15, 16, 16, 16, 18, 19, 57
1. Calculate the following:
a. Mean
b. Median
c. Mode
2. What is the best measure of center for this data? Why?
3. Create a boxplot using the data.
4. Create a stem and leaf plot using the data.
Answer:
Step-by-step explanation:
how big is yo toes?
need help to find equations that solve -1/2.
Three equations with a solution of -1/2 are given as follows:
5x + 3 = 7x + 4.6x + 4 = 8x + 5.7x + 5 = 9x + 6.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
One example of a system of equations is when two equations are equaled, as is the case for this problem:
ax + b = cx + d.
We want solution of -1/2, hence:
x = -1/2
(a - c)x = d - b.
Thus:
a - c = -2. -> c = a + 2.d - b = 1. -> d = b + 1.Then three possible cases are given as follows:
a = 5, c = 7, b = 3, d = 4: 5x + 3 = 7x + 4.a = 6, c = 8, b = 4, d = 5: 6x + 4 = 8x + 5.a = 7, c = 9, b = 5, d = 6: 7x + 5 = 9x + 6.More can be learned about a system of equations at https://brainly.com/question/24342899
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Solve each equation. If necessary, round to the nearest ten-thousandth. 4³x=77.2
The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.2063.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation: 4³x=77.2
We are given that 4³x = 77.2 —- 1
We know that 4³ = 64
Using in equation 1, we have,
64x = 77.2
x = 77.2 / 64
= 1.20625
Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 1.2063.
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What is the decimal equivalent of 5/4
The answer to your question is 1.25
PLEASE HELP!!!
18k-6<34-2k<10k+46
Students spent 950 hours
researching public policies. They
spent 64% of this time talking to
members of Congress. How many
hours did the students spend talking
to members of Congress?
Answer:
608 hours
Step-by-step explanation:
64% as a decimal is 0.64.
950(0.64) = 608
Select the locations on the number line to plot the points −6, −12, and −16.
Answer:
. . .
_________-16____-14____-12____-10____-8____-6____-4____-2____0
Geometry proofs and logics
1: The 4 angles caused by perpendicular lines are right angles
Write this in a if then statement. note:( For this one i wrote that "If the 4 angles are right angles, then the lines are perpendicular". "The other option was that, "If the lines are perpendicular, then the 4 angles are right angles." )
2: Two statements are given
1: The product of two 2-digit numbers is always a 4-digit number. Is this inductive or deductive? Why?
2: Florida requires all lawyers to pass the bar exam to practice law. If mark does not pass the bar, then he will not legally be able to represent clients as their lawyer. Is this inductive or deductive reasoning? Why?
The logic statements can be expressed and put into categories as follows;
1. If two lines are perpendicular, then the four angles caused by them are right angles
2: 1. Inductive
2. Deductive reasoning
How can the statements be expressed and evaluated?
1. If two lines are perpendicular, then the four angles caused by them are right angles.
Two lines are perpendicular when the angles formed by them are right angles.
The vertically opposite angles formed by intersecting lines have equal measure, and linear pair angles are supplementary, therefore;
If one of the angles formed by intersecting lines is known to be 90°, the vertical and adjacent angles are also 90°, and by the sum of angles at a point property, the remaining angle is also, 90°, which indicates that all the angles formed are right angles (90°).
An If, Then statement is therefore;
If two lines are perpendicular, then the four angles caused by them are right angles2. Inductive reasoning is the logic approach of making general conclusion from specific observations.
Deductive reasoning is an approach where general ideas are used to arrive at particular conclusions.
1. The statement, the product of two 2–digit numbers is always a 4–digit number, draws a general conclusion about the result of multiplying two 2–digit numbers, therefore;
The statement uses inductive reasoning2. The statements, Florida requires all lawyers to pass the Bar Exam to practice law.
If Mark does not pass the bar then he would not legally be able to represent clients as their lawyer.
The above statement makes deductions from the general statement on the rules of law practice in Florida.
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After 15 years, Salma will be four times as old as she is now.
Answer:
x+15 = 4x
3x = 15
x = 5
Therefore her present age is 5 years
Step-by-step explanation:
hope this helps! <3
Answer:
4
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to have the same number of cans of each type of food. He uses all the cans. Use the drop-down menus to complete the statements below about the number of bags of food William can make. CLEAR CHECK The greatest number of bags William can make is 12 . Each of these bags will have 2 cans of fruit and 5 cans of vegetables. If he made fewer bags, at least one type of food would not evenly divide . He could use bags, but this is not the greatest number he could use.
The highest number that can be placed in each bag is 12.
How to calculate the value?It should be noted that it was stated that William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
In this case, he wants each bag to have the same number of cans of each type of food.
It should be noted that the information simony wants us to get the highest common factor for 24 and 60.
Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24
Factors of 60 = 1, 2, 3, 4, 5,6, 10 ,12, 15, 20, 30, 60
Therefore, the highest number that can be placed in each bag will be the highest common factor for 24 and 60 which is 12.
Therefore, the highest number that can be placed in each bag is 12.
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pls answer quick thanks
Answer:
the answer is g= 1/3x - 2/3
True or false, 0 is a solution to 2x + 10 = 4x + 10
grue
O False
Answer:
True
Step-by-step explanation:
You can either solve for x (which produces 0 as the result) or you can plug zero in for x into the original equation to verify that it produces a true statement.
Answer:
TRUEStep-by-step explanation:
True or false, 0 is a solution to
2x + 10 = 4x + 10
2x - 4x = 10 - 10
-2x = 0
x = 0/-2
x = 0
the equation is TRUE
2 prime numbers added together to get 30
Answer:
7 and 23 or 11 and 19
Step-by-step explanation:
First, let's determine the prime numbers between 1 and 30.
2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.
We can now see that 7 and 23 add up to 30.
But 11 and 19 also works.
Hope this helped!!
Someone help me with factors
Answer:
A 30 is 5
B 12 is 4
C 26 is 13
D 36 is 2
Step-by-step explanation:
that is all i know
the perimiter of the rectangle below is 42 inches. find the value of x 5x x-3
The value of x is 4 units ,the Length is 20 units width is 1 units.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
The perimeter of the rectangle=42 inches
length= 5x
width= (x-3)
According to given question we have
We know that
perimeter of rectangle is sum of all sides
42 = 5x + 5x + ( x - 3 ) + ( x - 3 )
42 = 12x - 6
48 = 12x
x = 4
Length= 5*4=20 units
width= 4-3=1 units
Therefore, the value of x is 4 units ,the Length is 20 units width is 1 units.
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Does this table represent a function? Why or why not?
X=2,3,4,5,5
Y= 1,4,4,2,5
Let's arrange the pairs on the chart as follows:
(x, y) \s(2,1) \s(3,4) \s(3,3) \s(4,2) \s(5,5)
Two y-values are present at x=3 as indicated by the bold type. Therefore, this relationship does not pass the vertical line test (two points on the same vertical line). It's not a function, this.
There may be errors in the answer choices.
No, because there are multiple y-values that can be represented by a single x value.
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The head of a grasshopper is 2 centimeters long. The rest of the grasshopper's
body is 7 centimeters long. What is the total length of the grasshopper?
Answer:9 cm long
Step-by-step explanation:
7 + 2 = 9
so that will be the total
Pls help with the last question C very urgent and explain the method please 20 POINTS
Answer:
2.432926829 rounded to a significant figure
Step-by-step explanation:
798/(8*41)
798/328=399/164=2 71/164 or approx 2.432926829
Round to a "significant figure."
(I don't know what that's referring to. The nearest whole number is 2.)
Judd owns 510 acres of land. He wants to divided the land into 15 equal parts. how large will each part be??
Answer:
34 acres
Step-by-step explanation:
510 divided by 15 is 34
your welcome :)
Answer:
34
Step-by-step explanation:
510/15=34
If 510 acres of land was divided into 15 equal parts, each part would be 34 acres.
Hope this helps!
Please mark as brainliest if correct!
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
I'm just good like that
(A). |-9| + 7 =
(B). |-9 + 7| =
Answer:
A= 16
B= 2
Step-by-step explanation:
Answer:
A= 16
B= 2
That is the correct answer
DEBATE! WHO MAKES THE BEST SONGS?! (these are alt/metal/rock ones)(you can rank them)
Kim Dracula
Jazmin Bean
Melanie Martinez
Ashnikko
Skillet
carolesdaughter
Linken Park
Imagine Dragons
Slipknot
Evanescence
Fall Out Boy
My Chemical Romance
Green Day
Panic! At the disco
Paramore
21 pilots
Pierce The Veil
Arctic Monkeys
Students at a high school were polled about their opinion of the food in the school cafeteria. A total of 200 students were chosen randomly from among the student body and asked to fill out a survey. Out of the 200 surveys received, one question had the following responses:
Food is acceptable as it is: 54
Food is terrible and should be improved: 103
Food is excellent and should not be changed: 15
Identify the problem with the study.
A. The relationship between two variables implies one causes the other.
B. Nonresponse
C. Some of the sample data are missing.
D. The conclusion is based on a voluntary response sample.
Based on the poll of the opinion of food by students at a high school, one problem with the study is that B. Nonresponse.
What is a problem with the study?In the question that was asked about how acceptable the food was, the total number of people who responded were:
= 54 + 103 + 15
= 172 responses
This means that the number of people who didn't respond were:
= 200 - 172
= 28 students
This is a problem of nonresponse as 28 students opted not to respond to the question which can affect research conclusions.
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Which angles are congruent to each other?
<3 and <1
<3 and <8
<5 and <4
<4 and <1
Answer:
<3 and <1
Step-by-step explanation:
they're vertical angle pairs
Can someone help me with this pls
Answer:
6
Step-by-step explanation:
Angles DBF and EBF form a linear pair, so:
[tex]5x+6+3x-2=180 \\ \\ 8x+4=180 \\ \\ 8x=176 \\ \\ x=22 \\ \\ \implies m\angle DBF=116^{\circ}[/tex]
Similarly, because angles DBF and DBC form a linear pair,
[tex]m\angle DBC=64^{\circ}[/tex]
Since angle DBE is a straight angle, angle ABE is 26 degrees.
[tex]4y+2=26 \\ \\ 4y=24 \\ \\ y=6[/tex]
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function.
f(x)=√x-5
If the inverse of f exists, it is represented by f⁻¹ and exists only if f is a bijective function.
The inverse of the function f(x)=√x-5 is x² + 5,
What is the inverse formula?The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.
Considering f(x) = y, To find the inverse function, the x, and y values are switched giving the new equation of
x = √y - 5
Now we solve f(x),
x + 5 = √y
simplifying the above equation, we get
x² + 5 = y
The inverse function of f(x)=√x-5 is x² + 5
The domain of the function would be all x, such that
F(x) = √x + 5
The domain is {x∈R |x ≥ -5}
For f(x) to be defined, the term under the square root should be greater
than or equal to zero
x - 5 = 0
√x - 5 ≥ 0
The range of the function f(x)=√x-5 is [0,∞).
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