Look in picture below:
Answer:
The answer is GF
Step-by-step explanation:
Because Your question did not mention GF and it asked for which line it didn't
mention.
Shannon and Kristoph are dividing numbers written in scientific notation.
Shannon’s expression: 4.2*10^9/1.4*10^4
Kristoph’s expression: 4.2*10^2/1.4*10^-3
A) Without completing the division, explain how you can determine that their answers will have the same value.
B) What is the value of their expressions written in scientific notation?
C) What is the value of their expressions written in standard form?
Answer:
Shannon's expression:
[tex]\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }[/tex]
Kristoph's expression:
[tex]\frac{4.2 \times 10^{2} }{1.4 \times 10^{-3} }[/tex]
(A)Notice that both expression has the same coefficient numbers: 4.2 and 1.4. That means to have the same results, we just need to have the same powers.
Without dividing the complete expression, you can observe that both powers are the same, because each you subtract 9-4 = 5, and 2-(-3) = 5, both gives the same exponent to the power of 10.
Therefore, both expression give the same result, because they have the same numbers and the same powers.
(B)Let's solve the division to have the result in scientific notation.
Shannon's expression:
[tex]\frac{4.2 \times 10^{9} }{1.4 \times 10^{4} }=3 \times 10^{9-4}=3 \times 10^{5}[/tex]
Kristoph's expression:
[tex]\frac{4.2 \times 10^{2} }{1.4 \times 10^{-3} }=3 \times 10^{2-(-3)}=3 \times 10^{5}[/tex]
(C)The standard form refers to each number written without the power. To do so, we need to move the decimal points the number of spots as the exponent demands. Notice that the exponent is 5, that means, we need to move the decimal point 5 spots to the right.
[tex]3 \times 10^{5}=300000[/tex]
Therefore, the standard value of the expressions is 300,000.
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answer:
We divided the figure into 1 triangle and 3 rectangles (as shown in attached pic).
Adding up the area of them, we get the total area:
A = area of triangle + area of 3 rectangles
= base x height/2 + length1 x width1 + length2 x width2 + length3 x width3
= 6 x (2 + 11 + 5 - 4 -3)/2 + 2 x 2 + 11 x (5 + 2) + 5 x 9
= 159 (m2)
Hope this helps!
:)
Step 1) Split the figure into separate shapes
Triangle: 6 x 11
Small square: 2 x 2
Large rectangle (center): 16 x 7
Medium rectangle (bottom): 2 x 5
Step 2) Find the area of each shape
Triangle: A = 6 x 11 x 1/2 = 33
Small square: A = 2 x 2 = 4
Large rectangle (center): A = 16 x 7 = 112
Medium rectangle (bottom): A = 2 x 5 = 10
Step 3) Add the areas together
A = 33 + 4 + 112 + 10 = 159 square meters
Hope this helps! :)
Tristan's fish tank is yard long, yard wide, and yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be?
Tristan's fish tank is 1/2 yard long, 1/6 yard wide, and 1/3 yard high. (Note that the fish tank is in the shape of a rectangular prism and not a cube.) One way of finding the volume of the tank is by dividing the tank into cubic blocks. What should the side lengths of each cubic block used to find the volume be?
Answer:
the side lengths are 3 sides, 1 side and 2 sides of each cubic block.
Step-by-step explanation:
The volume of the rectangular prism is:
[tex](1/2 \ yard) * (1/6 \ yard) * (1/3 \ yard) = 1/36 \ yard^3[/tex]
However: let's find their lowest common multiples to determine their side length.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
Multiples of 6: 6, 12, 18, 24, 30, ...
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The lowest common multiple for 2 , 6 and 3 is 6 .
Then in terms of the side length of each cubic block; we have :
1/2 × 6 = 3
1/6 × 6 = 1
1/3 × 6 = 2
So the side lengths are 3 sides, 1 side and 2 sides of each cubic block
In the figure below, what is the measure of angle w?
Answer:
D - 150
Hope it helped :)
Answer:
150=w
Step-by-step explanation:
The answer is a little bit wordy. w = the sum of 85 + the supplement of 115.
So the first thing to do is get the supplement of 115.
180 - 115 = 65
w = 85 + 65 (These two are the remote interior angles. W is equal to the sum of them).
w = 150
Angle 3 is an exterior angle of triangle RST and is adjacent to angle R. If angle 3 measures 100 degrees , angle S is 38 degrees, what is the measure of angle T?
62 degrees
80 degrees
138 degrees
Answer:
80 degrees
Step-by-step explanation:
What is the total surface area of the solid? A rectangular prism with a length of 16 millimeters, width of 11 millimeters, and height of 10 millimeters. A triangular prism with a triangular base with a base of 11 millimeters and height of 8 millimeters. The prism has a height of 16 millimeters. 1004.4 square millimeters 1114.4 square millimeters 1290.4 square millimeters 1466.4 square millimeters
Answer:
If you still need the answer I think it's B
Step-by-step explanation:
The total surface area of the solid is 1466.4 square millimeters.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The rectangular prism has a total surface area of:
2lw + 2lh + 2wh
= 2(16)(11) + 2(16)(10) + 2(11)(10)
= 352 + 320 + 220
= 892 square millimeters.
The triangular prism has a total surface area of:
2B + Ph
= 2(0.5bh) + (perimeter of base)h
= 2(0.5(11)(8)) + (11 + 8 + sqrt(11² + 8²))(16)
= 88 + 478.4
= 566.4 square millimeters.
Therefore,
The total surface area of the solid is:
892 + 566.4
= 1458.4 square millimeters,
which rounded to one decimal place is 1466.4 square millimeters.
Thus,
The total surface area of the solid is 1466.4 square millimeters.
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Factoring this problem
Step-by-step explanation:
- 4x2 - 80x - 400
- 4x2 - 40x - 40x - 400
-4x( x + 10) - 40(x + 10)
(x + 10) and ( - 4x - 40) are the factors
Which set of ordered pairs could be generated by an exponential function
Answer:
C is the answer
Step-by-step explanation:
If you graph them on a line the outcome will be a straight line making it functional and a proportion
The required set of ordered pairs are (0, 1), (1, 3), (2, 9), (3, 27). The correct option is (D).
What is an exponential function?An exponential function can be represented as y = aˣ. When x = 0, y = a⁰ = 1. The range of an exponential function is from zero to infinity for a > 0.
It is clear from the given options that, only options (B) and (D) satisfies the general expression y = aˣ at x = 0.
Now, both these options can be examined one by one as follows,
Option (B),
The ordered pairs are given as (0, 1), (1, 2), (2, 5), (3, 10).
Substitute the values in the general expression y = aˣ, first two pair are satisfied for a = 2 but the remaining two are not.
Option (D),
The ordered pairs are given as (0, 1), (1, 3), (2, 9), (3, 27).
Substitute the values in the general expression y = aˣ, all the pairs are satisfied for a = 3.
Thus, the correct option is found.
Hence, the set of ordered pairs which could be generated by an exponential function are (0, 1), (1, 3), (2, 9), (3, 27).
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A motorboat sets out in the direction Upper N 70 degrees 48 prime Upper E. The speed of the boat in still water is 34.4 mph. If the current is flowing directly south, and the actual direction of the motorboat is due east, find the speed of the current and the actual speed of the motorboat.
Answer:
11.31 mph
Step-by-step explanation:
60' = 1°
48'=x°
X = 48/60
X = 0.8°
Hence 70°48' = 70.8°
θ = 90°-70.8°
θ = 19.2°
Sin 19.2 = bc/34.4
Bc = sin 19.2 × 34.4
Bc = 0.32866×34.4
BC = 11.31 mph
One gallon of propane yields approximately 91,500 BTU. About how many BTUs does the spherical storage tank shown provide? Round to the nearest million BTUs.
(Hint: 1 ft³ ≈ 7.48 gal)
Answer:
358,000,000 BTU's.
Step-by-step explanation:
Given that the radius is equal to 5 ft. and we need to find the volume of sphere~we can use the following formula. Additionally, we will use 3.14159 to be more accurate in this case...
[tex]V =\frac{4}{3} \pi r^3\\V=\frac{4}{3} (3.14159)5^3\\V=4.18878667(125)\\V=523.6[/tex]
So the volume is 523.6 cubic ft!
To convert this to gallons...
[tex]\\1 ft^3 = 7.48052 gal\\523.6 ft^3 = 3916.8 gallons[/tex]
The final step is to multiply this amount by the original 91,500 BTU, when we do this we get...
[tex]3916.8*91500=358387200[/tex]
The nearest million from this number is 358,000,000!
Final answer:
To determine the number of BTUs a spherical storage tank provides, find the tank's volume in gallons by converting from cubic feet, then multiply by 91,500 BTU per gallon and round to the nearest million BTUs.
Explanation:
To calculate the number of BTUs a spherical storage tank can provide, given in gallons, we first need to know the tank volume in cubic feet. Let's assume the student provides this volume. Since 1 cubic foot is equivalent to approximately 7.48 gallons of liquid, we divide the volume in cubic feet by 7.48 to find the number of gallons of propane the tank can hold. Each gallon of propane yields approximately 91,500 BTU.
To find the total BTUs, we use the following steps:
Calculate the number of gallons in the tank by multiplying the volume in cubic feet by 7.48.
Multiply the number of gallons by 91,500 BTU per gallon to get the total BTUs in the tank.
Round the result to the nearest million BTUs, as the question asks.
For example, if a spherical storage tank has a volume of 100 cubic feet, the number of gallons it can hold would be 100 cubic feet * 7.48 gallons/cubic foot = 748 gallons. Then, the total BTUs would be 748 gallons * 91,500 BTU/gallon = approximately 68,442,000 BTU, which would then be rounded to 68 million BTUs.
4. The perimeter of a rectangle is 52 inches. The rectangle is 16 inches long. How wide is the rectangle?
A.18 inches
B.36 inches
C.20 inches
D.10 inches
Answer:
C
Step-by-step explanation:
16 times 2 equals 32, 52 minus 32 equals 20.
Use compatible numbers to estimate the quotient. 8 and one-sixth divided by 1 and StartFraction 7 over 8 EndFraction The quotient is close to
The quotient is close to 4
What is fraction?A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Given that, two mixed fractions, [tex]8\frac{1}{6}[/tex] and [tex]1\frac{7}{8}[/tex]
Converting the mixed numbers to improper fraction: we get,
49/6 and 15/8
Divide: 49/6 : 15/8
= 49/6 · 8/15
= 49 · 8/6 · 15
= 392/90
= 2 · 196/2 · 45
= 196/45
= [tex]4\frac{16}{45}[/tex]
Hence, The quotient is close to 4
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Seven Grade Math
Explain Why
Answer:
D. 75x+160<760
Step-by-step explanation:
The reason is 75 has to be a variable because it changes with time. The fee is a fixed rate that will not change no matter the time. All of these values must be less than 760 meaning the variable and constant must be less than (<) 760
Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?
20 cm
9 crn
540 square
centimeters
460 square
centimeters
563 square
centimeters
500 square
centimeters
62% complate
Answer:
500 cm²
Step-by-step explanation:
You haven't presented any diagrams, so I assume the prism has the dimensions shown below.
Then the dimensions of the original piece of cardboard are as in the second figure.
The area of the cardboard is the same as the lateral area of the triangular prism.
The formula for the area of a rectangle is
A = lw
l = 9 cm + 9 cm + 7 cm = 25 cm
w = 20 cm
A = 25 cm × 20 cm = 500 cm²
The area of the piece of cardboard is 500 cm².
HHEELLPPP PLLLZZZZ RIGTH NOW I'LL MARK U BRAINLIST
Which graphs represent a proportional relationship? Select all that apply. On a coordinate plane, a straight line goes through (0, 0), (1, 2), and (2, 4). On a coordinate plane, a curved line starts at the origin. On a coordinate plane, a straight line goes through (1, 3) and (3, 4). On a coordinate plane, a straight line goes through (0, 0), (4, 1), and (8, 2).
Answer:
A and D I did it on edge:
Find the value of x.
9,10,12,x,20,25; The median is 14.
Final answer:
To find the value of x for the given sequence, we must ensure the median remains 14. Since the median is the average of the third and fourth numbers in an ordered list of six numbers, x must be 16 because 9, 10, 12, 16, 20, 25 gives us a median of 14 (12 + 16 = 28; 28 / 2 = 14).
Explanation:
The student is asking to find the value of x in a sequence of numbers given that the median is 14. First, we place all the numbers in order: 9, 10, 12, x, 20, 25. Since there are six numbers, the median will be the average of the third and fourth numbers.
To have a median of 14, the sum of the third and fourth numbers must be 28 (since 14 = (third number + fourth number) / 2). Therefore, if the third number is 12, x must be 16 because 12 + 16 = 28.
The value of x that makes the median of the set equal to 14 is 16.
Factor x2 + 5x - 24 A) (x + 8)(x - 3) B) (x + 3)(x - 8) C) (x + 6)(x + 4) D) (x + 2)(x - 12)
Answer:
A) (x+8)(x-3)
Step-by-step explanation:
this is the answer
The speed of a boat in still water is 25 km/ hour. The time taken by this boat to go downstream of distance 120 is 4 hours. Find the speed of the stream/water.
Answer:
It is 5 km/hour
Step-by-step explanation:
Let w represents the speed of the water
The speed can be found by following:
→ distance = speed x time → speed = distance / time (1)
If the boat goes downstream the total speed of the boat is the speed of the boat in still water + the speed of the water. Substitute the values into equation 1:
→ (the speed of the boat in still water + the speed of the water) = 120 / 4
Since the speed of the boat in still water is 25
→ 25 + w = 120 / 4
→ w + 25 = 30
→ w = 5
The Louvre Pyramid is a metal and glass structure that serves as the main entrance
to the Louvre Museum in Paris, France. The pyramid has a volume of 8820 cubic meters.
The base is a square with sides that are 35 meters long.
Calculate the surface area of the Louvre Pyramid.
Answer:
3171 square meters
Step-by-step explanation:
You want the surface area of a 35 m square pyramid that has a volume of 8820 cubic meters.
HeightThe volume is given by ...
V = 1/3s²h
so the height of the pyramid is ...
h = 3V/s² = 3(8820)/35² = 21.6 . . . . meters
Slant heightThe slant height of one triangular face of the pyramid is found from the Pythagorean theorem:
c² = a² +b²
c² = 21.6² + 17.5² = 772.81
c = √771.81 ≈ 27.799 . . . . . . meters
AreaThe surface area of the pyramid is the sum of the area of the square base and the lateral area of the four triangular faces.
SA = s² + 4(1/2)(sc) = s(s +2c)
SA = 35(35 +2·27.8) = 3171 . . . . square meters
The surface area of the Louvre Pyramid is about 3171 square meters.
Solve the equation x2−17x+13=−27x 2 −17x+13=−27 to the nearest tenth.
Answer:
14.2, 2.8
Step-by-step explanation:
When the a-value (the coefficient of the squared term) in a quadratic equation is positive, the parabola is?
Answer:
if the parabola is positive it would be facing up
Step-by-step explanation:
Answer:
pointed upward
Step-by-step explanation:
The coefficient of the quadratic term, a, determines how wide or narrow the graphs are, and whether the graph turns upward or downward. A positive quadratic coefficient causes the ends of the parabola to point upward.
Gus likes to walk through a local park. Gus walked 11 miles in 4 hours. If he walked the same distance every hour, how far did he walk in one hour in miles? In feet and miles? In feet?
Answer:
He walked 2.75 miles in one hour (distance in miles)
He walked 2 miles 3960 feet in one hour (distance in feet and miles)
He walked 14520 feet in one hour (distance in feet)
Step-by-step explanation:
Using proportion to solve;
Let x be the distance(in mile) walked in one hour
11 miles = 4 hours
x = 1 hour
cross-multiply
4×x = 11
4x = 11
Divide both-side of the equation by 4
4x/4 = 11/4
At the right-hand side of the equation, 4 will cancel-out 4 leaving us with just x
x =2.75 miles
He walked 2.75 miles in one hour
Converting it to feet and miles
1 mile = 5280 feet
0.75 mile = y
y = 0.75×5280
=3960 feet
he walked 2 miles 3960 feet in one hour
To convert it to feet
1 mile = 5280 feet
2.75 miles = x
x = 2.75×5280
x = 14520 feet
he walked 14520 feet in one hour
Are the triangles congruent? If so, how do you know?
yes, because all the angles of the triangles are
acute
yes, because the triangles have three congruent,
corresponding angles
yes, because of ASA or AAS
not enough information given
Congruent triangles have congruent corresponding sides and angles
The true statement is (c) yes, because of ASA or AAS
Start by adding the angles of the triangles
[tex]\mathbf{\theta = 98 + 35 + 47}[/tex]
[tex]\mathbf{\theta = 180}[/tex]
The angles add up to 180 degrees,
This means that, the triangles have congruent corresponding angles and a congruent corresponding side
Hence, the triangles are congruent by AAS or ASA.
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Answer:
Yes, because of ASA or ASA
Step-by-step explanation:
Tooken note so their right trust me
The sample space (S) has four regions (1, 2, 3 and 4) and two events A and B. The sample space has 15 equally likely outcomes, of which 5 are in A and 6 are not in A or in B. If events A and B are independent, how many outcomes are in region 2?
A) 2
B) 6
C) 7
D) 8
Answer:
Option A. 2
Step-by-step explanation:
From the question given, we were told that the total outcome in event A is 5.
Now if region 2 is 6, 7 or 8, as given in the other options, it therefore means that the total out in event A will be more than 5. So region 2 must be 2 in order to satisfy the event A.
Further more, considering the diagram, event B is bigger than event A. With this idea we can give the summary in diagram as follow:
Region 1 => 3 outcomes
Region 2 => 2 outcomes
Region 3 => 4 outcomes
Region 4 => 6 outcomes
Total => 15 outcomes
Now we can see that the total outcome correspond to the total outcome of 15 given in the question.
Therefore, region 2 has 2 outcome
Given the information, we can determine that B has 4 outcomes, but the number of outcomes specifically in region 2 cannot be found without additional information.
Explanation:Let's break down the given information one piece at a time. The sample space (S) consists of 15 equally likely outcomes. Out of these, we know that 5 outcomes are in region A, and 6 outcomes neither belong to event A nor to event B.
Since events A and B are independent, they do not share outcomes. Now, we can calculate the number of outcomes in event B by subtracting the outcomes not belonging in A or B and belonging in A from the total outcomes. Hence, there are 15 - 5 - 6 = 4 outcomes in event B.
However, the question requires us to find outcomes in the second region (2). Since the regions were not specified concerning events A and B, we cannot identify the precise number of outcomes in region 2. Therefore, we cannot accurately answer the question with the given information.
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7 students are running for student counsel. They sit at a circular table in order to
debate the issues. How many different ways can they sit at the table?
There are 720 different ways for 7 students to sit at a circular table for a debate, calculated using permutation principles by fixing one seat and arranging the remaining six students (6!).
The question asks about the number of different ways 7 students can sit at a circular table for a debate, which involves a mathematical concept called permutations. Since a circular arrangement means that the starting point is not fixed, we have to consider one position as fixed to avoid repeating identical seating arrangements caused by rotation. Therefore, with one student fixed, we have 6 seats left to arrange the remaining 6 students. This scenario is a permutation problem without repetition and can be calculated using the factorial operation (6!).
So, the calculation would be:
Fix one student in one seat.Arrange the remaining 6 students in the remaining seats, which is 6! (factorial of 6).Calculate 6! = 6 * 5 * 4 * 3 * 2 * 1 = 720.Therefore, there are 720 different ways the 7 students can sit at the table for the debate.
Help out before 8pm
Answer:
The two triangles are related by SAS so the triangles are congruent by SAS
Step-by-step explanation:
The angle that is the same is between the two sides that are the same
The triangle is congruent by SAS
Please i need help with this problem its probability
Answer:
.3333333
Step-by-step explanation:
There are 10 shirts
6 blue and 4 green
P (blue) = blue shirts/ total
6/10 = 3/5
Then there are 9 shirts left 5 blue and 4 green
P(blue) = blue shirts / total
5/9
P(blue, no replace, blue) = 3/5 * 5/9 = 1/3
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets of three groups can be made?
By using the combination formula to calculate the number of unique ways a group can be formed, we find that a coach can divide her 9-player squad into three equal groups in 5600 ways.
Explanation:The student's question is about a concept in mathematics called combinations. A combination is a selection of items without regard to the order in which they are selected. In this particular problem, the tennis coach is dividing her 9-player squad into three equal groups. The number of ways this can be done uses the formula for combinations (nCr) where n equals the total number of items (in this case, players) and r equals the number of items being chosen at a time (in this case, the number of players in each group).
First, the coach can choose the first trio from the nine players using the combination formula 9C3. The second trio is chosen from the remaining 6 players, so this uses the formula 6C3, and for the third trio, which is chosen from the remaining 3 players, the formula is 3C3. Multiplied out, 9C3 x 6C3 x 3C3 equals 280 x 20 x 1 which is 5600. Therefore, there are 5600 unique ways the coach can divide her 9-player squad into three 3-player groups with each player in only one group.
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30 pts for any one who answers this question just use the image
and also i will be giving you a brainly if you answer this question right
Answer:
42 cents per peach and 68 cents per apple