To calculate the geometric mean, we take their product instead: 1 x 5 x 10 x 13 x 30 = 19,500 and then calculate the 5-th root of 19,500 = 7.21. This is equivalent to raising 19,500 to the 1/5-th power. Another way to calculate the geometric mean is with logarithms, as it is also the average of logarithmic values converted back to base 10.
Write the following numbers in scientific notation 250,000 = 0.000035 = 0.00000001 = 324,000,000,000,000,000
Scientific notation exists as a method of writing very large or very small numbers. The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],
What is meant by scientific notation?
Utilizing scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
To express exceedingly high numbers in a shorter manner, scientists have created a shorthand. Scientific notation is the name of this technique. The foundation of scientific notation is the base-10 powers. The coefficient is defined as the initial number, 1.23.
The guidelines for writing scientific notation.
Always start with a base of 10.
The exponent may have both positive and negative values and must be a non-zero integer.
The absolute value of the coefficient is more than or equal to 1, even though it should be less than 10.
Whole numbers, decimal numbers, positive, negative, or both can all be used as coefficients.
The mantissa represents the remaining significant digits of the number.
The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],
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Miranda uses 15/16 gallon of red paint in an art project. She uses 2/5 as much blue paint as she does red paint. How many gallons of blue paint does Miranda use?
If z varies directly with the product of x and y(z=k x y) , then z is said to vary jointly with x and y .
b. Suppose q varies jointly with v and s , and q=24 when v=2 and s=3 . Find q , when v=4 and s=2
The value of q for the given relation will be 32.
What is direct variation?
A sort of proportionality known as "direct variation" occurs when one quantity immediately changes in response to a change in another variable.
This suggests that if one number increases, the other quantity will also rise proportionately. Similar to the last example, if one quantity declines, the other amount likewise declines. The link between direct variation and the graph will be linear, resulting in a straight line.
As q varies jointly with v and s,
It implies that
q = k v s
Given,
q=24 when v=2 and s=3
24 = k × 2 × 3
k = 24 / 2 × 3
k = 4
When we put v = 4 and s = 2
⇒ q = 4 × v × s
⇒ q = 4 × 4 × 2
⇒ q = 32
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WILL GIVE U BRAINLIEST AND EXTRA POINTS
Answer: 1st image: option 2
2nd image: (x, y) ==> (x+4, y-9) ==> option 4
Step-by-step explanation:
1st image: Reflection over the y-axis means that all x-coordinates are negated while the y-coordinates remain the same.
A: (2, -2) ==> A' (-2, -2)
B: (-2, 5) ==> B' (2, 5)
C: (-4, 2) ==> C' (4, 2)
Answer: option 2
A to A', B to B', C to C'
Purple to Blue
2nd image: 1st, the purple triangle moves 4 units to the right (x ==> x+4)
Then, the purple triangle moves 9 units down to become the blue triangle (y ==> y-9)
(x, y) ==> (x+4, y-9) ==> option 4
Answer: its b
Step-by-step explanation:
Write the equation of the line in slope-intercept form.
-7-y=-3x
The equation of the line in slope-intercept form is y = 3x + (-7) .
The equation of a line in slope-intercept form can be written as follows,
y = mx + c equation 1
m in the above equation represents slope of the line and c represents the intercept.
The given equation is -7 -y = -3x .
To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as
-7 -y = -3x
⇒ y = 3x + (-7) equation 2
On equating equation 1 and equation 2, we will get
Slope of the line = m = 3
Intercept = c = -7
The equation of the line in slope-intercept form is y = 3x + (-7) .
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Find x and z the graph is right below
Answer:
x = 16
z = 90°
Step-by-step explanation:
The angle with the measure (10x - 70) and the angle with measure (5x+10) are supplementary angles and their sum is equal to 180 so it's safe to write the following equation:
10x - 70 + 5x + 10 = 180 add like terms
15x - 60 = 180 add 60 to both sides
15x = 240 divide both sides by 15
x = 16
The angle represented with z and the angle with measure (10x - 70) are also supplementary because they are on a straight line so we can write the following equation to find the value of z:
z + (10*16-70) = 180 calculate inside the parenthesis
z + 90 = 180 subtract 90 from both sides
z = 90°
End behavior
please explanation required! :3
Step-by-step explanation:
it is simple for such a line.
x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.
x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.
the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.
but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).
so, the line (as we can see in the graph) is
y = 1/2 × x - 1
when x goes to +infinity, "-1" is irrelevant, and
1/2 × +infinity = +infinity.
when x goes to -infinity, again, "-1" is irrelevant, and
1/2 × -infinity = -infinity
The length of a building is 720 in what is the length of this building in yards?
1ft =12 inches , 3ft =1 yard.
Plsss help dont understand
Poppy found a sticker on the sign showing the size of olympic national park. She knows the size is between one million and nine hundred thousand acres. She also knows that the value of the digit in the ten thousand place is 10 times greater than the value of the digit in the thousands place. What is the size of the park?
Answer: Olympic National Park
Established 1938
Size: 922,651 acres
How much would you need to invest in an account paying 16%/a compounded annually if you wanted $3900 after 9 years?
Answer:
$1,025.52
Step-by-step explanation:
Annual Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]
where:
A = Final amount.P = Principal amount invested.r = Interest rate (in decimal form).t = Time (in years).Given:
A = $3,900r = 16% = 0.16t = 9 yearsSubstitute the given values into the formula and solve for P:
[tex]\implies \sf 3900=P(1+0.16)^9[/tex]
[tex]\implies \sf 3900=P(1.16)^9[/tex]
[tex]\implies \sf P=\dfrac{3900}{(1.16)^9}[/tex]
[tex]\implies \sf P=\dfrac{3900}{3.802961...}[/tex]
[tex]\implies \sf P=1025.51662...[/tex]
Therefore, you would need to invest $1,025.52.
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The approximate weights of two animals are 5.12 x 102 lbs. and 6.8 x 102 lbs. find the total weight of the two animals. write the final answer in scientific notation with the correct number of significant digits. 1.2 x 103 lbs. 1.19 x 103 lbs. 11 x 102 lbs. 5.8 x 102 lbs.
The correct answer is 1.19×10³ lbs.
The weight of first animal = 5.12×10² lbs
Performing multiplication to get the complete weight of first animal
The weight of first animal = 512 lbs
The weight of second animal = 6.8×10² lbs
Performing multiplication to get the complete weight of second animal
The weight of second animal = 680 lbs
Now, performing addition to find the approximate weights of two animals-
Final answer = 512 + 680
Performing addition to find the approximate weights of two animals
Final answer = 1192 lbs
Now, converting the number in scientific notation -
Final answer = 1.19×10³ lbs
Hence, the final answer in significant digits is 1.19×10³ lbs.
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Find the distance along Broadway between 37th Street and 36th Street.
The distance between 37th St. and 36th St. is
x= 275ft
What is a similar triangle?Similar triangles are those that share at least one vertex and the angular value between the sides associated to their sides is the same, which makes them proportional in their dimensions (same type of triangle).
To solve this problem we will use the relation of similar triangles, if we raise the equation we have the following way:
x /275 = 220/220
Proportion of the sides
x/275 = 1
x = 275 ft , is the distance x between the lanes N° 37 and 36.
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Which graph represents the inequality 2.5 is less than the product of −0.5 and a number?
Answer: x<-5
Step-by-step explanation:
[tex]2.5 < (-0.5)(x)\\2.5 < -0.5x\\[/tex]
Multiply both parts of the equation by 2:
[tex]5 < -x\\5+x < -x+x\\5+x < 0\\5+x-5 < 0-5\\x < -5[/tex]
Answer:
d
Step-by-step explanation:
What is the slope of the line that passes through the given points?
c. (9,3) and (9,-4)
The value of Slope is undefined for given points.
What is the slope of line?A Line's Slope
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.
The formula to calculate the slope is
Slope of the line passing through 2 points is y₂ - y₁ / x₂ - x₁
points given are (9,3) and (9,-4)
after putting it in the formula,
⇒ -4 - 3 / 9 - 9
It implies that the slope is undefined.
Line is parallel to y axis, x = 9
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Explain why three angle measures do not determine a unique triangle. How many triangles are determined by three angles measures?
You can either form no triangles or an endless number of triangles when you are given three angles.
For Example -
How many distinct triangles can you construct using angles of 30, 60, and 90 degrees?
Use a protractor to create one of the angles needed to form a triangle. You can adjust the side lengths to your desired length. Make another angle at the end of one of the sides, then link the sides together. You've constructed a triangle.
You should note that you chose the side lengths. This implies that you might choose differently. This allowed you to create an infinite number of distinct triangles using the same angles.
Hence, we can form infinite number of triangles when only the measurements of three angles is given
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Look at the image below.
What is the area of the parallelogram?
square units
The area of the parallelogram is 54 square units.
In this question we have been given a parallelogram
We need to find the area of the parallelogram.
Here, the slant height of the parallelogram is 8 units.
the base of the parallelogram is 9 units.
And the height of the parallelogram is 6 units.
We know that the area of the parallelogram is,
A = base × height
⇒ A = 9 × 6
⇒ A = 54 square units
Therefore, the area of the parallelogram is 54 square units.
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Determine whether \triangle X Y Z is an acute, right, or obtuse triangle for the given vertices. Explain.
X(-3,-2), Y(-1,0), Z(0,-1)
Triangle XYZ with vertices X(-3 , -2), Y(-1 , 0), and Z(0 , -1) is a right triangle.
First, using the distance formula, find the length of each side of the triangle: side XY, side XZ, and side YZ.
d = √(x2 - x1)^2 + (y2 - y1)^2
side XY : d = √(-1 - -3)^2 + (0 - -2)^2 = √4 + 4 = 2√2
side XZ : d = √(0 - -3)^2 + (-1 - -2)^2 = √9 + 1 = √10
side YZ : d = √(0 - -1)^2 + (-1 - 0)^2 = √1 + 1 = √2
Next, check if it follows the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.
let a = XY = 2√2, b = XZ = √10, and c = YZ = √2
a + b > c 2√2 + √10 > √2 5.99 > 1.41 True
a + c > b 2√2 + √2 > √10 4.24 > 3.16 True
b + c > a √10 + √2 > 2√2 4.58 > 2.83 True
Lastly, to know what type of triangle based on the length of its side,
1. Take the sum of the squares of the two smaller sides.
(√2)^2 + (2√2)^2 = 10
2. Compare it to the square of the largest side.
(√10)^2 = 10
10 = 10
If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.
if they are equal, it is a right triangle.
if they are smaller, then it is an obtuse triangle.
Hence, triangle XYZ is a right triangle.
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A group of friends wants to go to the amusement park. They have no more than $115
to spend on parking and admission. Parking is $15, and tickets cost $25 per person,
including tax. Write and solve an inequality which can be used to determine à, the
number of people who can go to the amusement park.
Answer:
115 ≤ 25a+15
-15. -15
100 ≤ 25a
100/25 ≤ 25/25 a
4≤a
Answer:
25x + 15 > 115
Step-by-step explanation:
Subtract 15 from both sides
25x+15-15 > 115-15
Simplify
25x > 100
Divide both sides by 25
25x/25 > 100/25
Simplify
x > 4
Sorry if it doesn't help
Yall pls help me outtt! im having sm trouble with this problem
Step-by-step explanation:
Hello, and thank you for asking your question on Brainly!
This problem is basically telling is to isolate the variable g. But how are we to do so, when it's being sandwiched inside a variety of numbers and letters? The problem looks harder than it seems. But do not fret!
When you're in a trail in the woods and you get lost, the most logical thing is to do the opposite of where you just went in order to try and reach home. We can use this same analogy for math. We just try and use the opposite operation for every action that the function is being acted on!
Let be the original equation,
[tex]u=\sqrt{Ng+Q^3 }[/tex]
Looks pretty complicated right? We want to isolate the variable g, so let's get rid of this 'roof' over their heads.
To get rid of the square root, we can square both sides by two; this negates the square root, and opens up the right section of the equation.
[tex]u=\sqrt{Ng+Q^3 }[/tex]
[tex]u^2 =(\sqrt{Ng+Q^3 })^2[/tex]
[tex]u^2=Ng+Q^3[/tex]
Now, we have to make sure we get the variable g alone. Let's subtract Q cubed to the other side, we can subtract it over to get rid of it on the right hand side.
[tex]u^2=Ng+Q^3\\-Q^3 ~~~~~ -Q^3[/tex]
[tex]u^2-Q^3=Ng[/tex]
We're almost close! Now, all we have to do to isolate the variable g is to divide the whole equation by N, so the right hand side it cancels out. This is the opposite of N multiplied by g.
[tex]\frac{u^2-Q^3}{N} =g[/tex]
It wasn't so bad now, was it? I hope this helped! g is now isolated and this is the end of the problem.
HELP ASP SHOW UR WORK YOULL GET BRAINILEST
Answer:
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
-15x + 44 = 8x - 12
-8x -8x
-7x + 44 = -12
- 44 - 44
-7x = -56
x = 8
by definition of supplementary angles, 1 + 2= ______(a) and 2 + 3=______(b). then 1+2=2+3 by the_____(c). Subtract 2 from each side. you get 1=____ (d)or 1=____(e)
By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle one + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = Angle 3 or angle 1 ≅ angle 3.
What are supplementary angles?It should be noted that supplementary angles are the angles that their sum equals to 180°.
Therefore, angle 1 + angle 2 = 180° .... i
angle 2 + angle 3 = 180° .... ii
Equate equation i and ii and subtracting angle 2 from both sides will illustrate that angle 1 = angle 3.
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Complete the paragraph proof.
Given: angle 1 and angle 2 are supplementary, and angle 2 and angle 3 are supplementary.
Prove: angle 1 ≅ angle 3
By the definition of supplementary angles, angle 1 + angle 2 = _____(a) and angle 2 + angle 3 = ____ (b). Then angle one + angle 2 = angle 2 + angle 3 ______(c). Subtract angle 2 from each side. You get angle 1 = ______(d), or angle 1 ≅ ______(e).
Write a two-column proof for the property reflective property of segment congruence
BLANK HUNDREDS IS THE SAME AS 4 THOUSANDS
Answer:
The answer is 40. If you divide 4000 by 100 you get 40. Hopefully this is what you were looking for.
Step-by-step explanation:
4000/100=40
Answer:
_00 x 10 = _000 (100 x 10 = 1000 basically).
40 x 100 = 4000
so..
40 hundreds is the same as 4 thousands.
Eli runs a distance of 15 miles in 2hrs. Jess runs a distance of 4 miles in 1/2 of an hour. Who has the faster speed? Use vocabulary.
Answer:
Eli has the faster speed than Jess.
Write the contrapositive of the statement. If an angle measures greater than 90°, then it is obtuse.
The contrapositive of the statement will be : if it is not obtuse, then an angle does not measure greater than 90° .
We need to know about conditional and contrapositive statement to solve this problem.
A conditional statement takes the form "If p, then q" where p is the hypothesis while q is the conclusion. So, here in this problem p is 'an angle measures greater than 90° and q is it is obtuse.
The Contrapositive of a Conditional Statement is obtained by supposing that you have the conditional statement p→ q. Now, we first find the inverse of the given conditional statement then swap the roles of hypothesis (p) and conclusion (q) . Therefore, the contrapositive of the conditional statement p→ q is ~q → ~p.
Thus, contrapositive of the statement : If an angle measures greater than 90°, then it is obtuse will be if it is not obtuse, then an angle does not measure greater than 90° .
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Divide 7/15 by 3/5
A. 7521
B. 21/75
C.7
D.725
Need asap last question on a exam
The zoo needs to replace some of the railroad tracks that support their train ride. The total length of the track is 500 feet, and there are three sections that need to be replaced. These sections measure 62/2 83/8 and 63/4 feet. How much of the zoo railroad track does not need to be replaced?
Based on the calculations, the length of the zoo railroad track which does not need to be replaced is equal to 3543/8 or 442.875.
What is a fraction?A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
The parts of a fraction.In Mathematics, a fraction comprises two (2) main parts and these include the following:
NumeratorDenominatorIn order to determine the length of the zoo railroad track which does not need to be replaced, we would add all of the length of the zoo railroad track that need to be replaced and then subtract this value from the total length of the zoo railroad track as follows:
Length of replacement = 62/2 + 83/8 + 63/4
Note: Lowest common denominator (LCM) = 8.
Length of non-replacement = (248 + 83 + 126)/8
Length of non-replacement = 457/8
Length of replacement = 500 - 457/8
Length of replacement = (4000 - 457)/8
Length of replacement = 3543/8 or 442.875.
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so i have this problem. Be real cool if you could help e and explain it but if not an answer would be fine
Determine whether each set of numbers can be the measure of the sides of a triangle. If so, classify the triangle as acute, right, or obtuse. Justify your answer.
c. 6.2,13.8,20
Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is acute.
By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.
6.2 + 13.8 > 20
13.8 + 20 > 6.2
20 + 6.2 > 13.8
Hence, these set of numbers can be the measures of the sides of a triangle.
According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:
acute if [tex]a^{2} + b^{2} < c^{2}[/tex]
obtuse if [tex]a^{2} + b^{2} > c^{2}[/tex]
right if [tex]a^{2} + b^{2} = c^{2}[/tex]
∴The longest side is 20.
Hence, a = 6.2, b = 13.8 and c = 20;
Consider [tex]a^{2} + b^{2}[/tex] :
= [tex]6.2^{2} + 13.8^{2}[/tex]
= 228.88.
Now consider [tex]c^{2}[/tex] :
= [tex]20^{2}[/tex]
= 400.
Thus, [tex]a^{2} + b^{2} < c^{2}[/tex].
Hence, the triangle is acute.
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HELP Solve for x. x/2≥4
Answer:
x ≥ 8
Step-by-step explanation:
x
------- ≥ 4(2)
2(2)
x ≥ 8
[8, ∞)
I hope this helps!
