Answer:
4. 1 over the 9 to the power of 5
Step-by-step explanation:
When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5
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
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.
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.
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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You have less than 3 hours to complete your homework. What inequality would represent this?
Answer:
<
Step-by-step explanation: Since it just said you have less than and not equal to you can say its only less than.
Answer:
< Is the correct answer
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
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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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
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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what is an equevilent fraction to 2/4
1/2 = 2/4 = 3/6,4/8,5/10,6/12,7/14, etc.
Add 1 to the numerator. Add 2 to the denominator.
Answer:
Equivilent fractions of 2/4 include the following: 1/2, 3/6, 4/8, 5/10.
Step-by-step explanation:
The fraction 2/4 can be simplified to 1/2, because 2 is half of 4. And since 3 is half of 6, it can also be simplified to 1/2, making the fractions 2/4 and 3/6 equal to eachother.
I hope that makes sense :)
3x+6y=8
The equation in slope-intercept form is y=
Answer:
y=1/2x+4/3
Step-by-step explanation:
1.) subtract -3x to the side the 3x is on and then put it on the side that has the 8 on it
2.) write it out as 6y=-3x+8
3.) divide by six to the whole problem
4.) simplify
Solve the equation x2−17x+13=−27x 2 −17x+13=−27 to the nearest tenth.
Answer:
14.2, 2.8
Step-by-step explanation:
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
Two lines meet at a point that is also the endpoint set up an equation to find the value of w pls need help
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.
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:
Evaluate −2x2−4x+3 when x=−2
Answer: 3
Step-by-step explanation:
Evaluate is a fancy word for putting the value assigned into the equation and see what result you get.
[tex]-2x^2-4x+3\\x=-2[/tex]
[tex]-2(-2)^2-4(-2)+3\\-2(4)+8+3\\-8+8+3\\3[/tex]
To evaluate the expression −2x²−4x+3 for x=−2, substitute x with -2 and perform the operations: square x, multiply by -2, multiply -4 by x, and add the results to get the final answer of 3.
To evaluate the expression
−2x²−4x+3 when x=−2, we need to substitute x with −2 and then follow the order of operations, which is to perform exponentiation before multiplication and addition.
Thus, −2x²−4x+3 evaluates to 3 when x is −2.
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
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.
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
Triangle L N M is shown. Angle L N M is a right angle. Angle N L M is 70 degrees and angle N M L is 20 degrees. The length of hypotenuse L M is 8. Rounded to the nearest tenth, what is the length of LN? sin(20°) = StartFraction L N Over 8 EndFraction (8)sin(20°) = LN = LN
Answer:
2.7
Step-by-step explanation:
its the answer trust me
In APQR, the measure of ZR=90°, RQ = 16, PR = 63, and QP = 65. What ratio
represents the cosine of angleQ?
Answer:
The ratio is 16/65
Step-by-step explanation:
In this question, we are tasked with calculating what ratio represents the cosine of the angle Q.
In a right angled triangle, there are usually three sides, the hypotenuse, the opposite and the adjacent. Also, there are three angles, 2 asides the ∠90°. The hypotenuse is the longest side which faces the ∠90°, the opposite is that side facing the angle we are interested in while the adjacent is the third side.
Hence we can have only a single hypotenuse, which is the longest side, two opposites(depending on the angle we are concerned about and two adjacents two based on the angle of interest
Firstly, please check attachment for diagrammatic representation.
The ratio for the cosine of an angle is = length of adjacent/length of hypotenuse
From the diagram, with respect to angle Q, the length of the adjacent is 16 while the length of the hypotenuse is 65.
Thus, the ratio representing the cosine of angle Q is 16/65
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
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
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.
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
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
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.
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:
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! :)