Step-by-step explanation:
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Known
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] \: [/tex]
Asked
Simplify form.
[tex] \: [/tex]
Answer
[tex] = \frac{ {6}^{ - 10} }{ {6}^{ - 4} } [/tex]
[tex] = {6}^{ - 10 - ( - 4)} [/tex]
[tex] = {6}^{ - 6} [/tex]
[tex] = {6}^{ - 6} \: \text{or} \: \frac{1}{ {6}^{6} } [/tex]
There are 2 answers, it's A and C.
Given the points X(-2, 5) and Y(2, -3), find the coordinates of the point P on
directed line segment XY thatpartitions segment XY such that the ratio of XP
to PY is 4:1
(²,3)
5
( 71/17, 173737)
(7)
The coordinate of the point P will be (6/5, -7/5). Then the correct option is C.
The complete question is attached below.
What is the section of the line?Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divide the line segment in the ratio of m:n. Then we have
x = (mx₂ + nx₁) / (m + n)
y = (my₂ + ny₁) / (m + n)
Given the points X(-2, 5) and Y(2, -3).
Then the coordinates of the point P on directed line segment XY that partitions segment XY such that the ratio of XP to PY is 4:1.
(x₁, y₁) = (-2, 5)
(x₂, y₂) = (2, -3)
m = 4
n = 1
Then the point will be
x = [4 × 2 + 1 × (-2)] / (4 + 1)
x = 6 / 5
y = [4 × (-3) + 1 × 5] / (4 + 1)
y = -7 / 5
The coordinate of the point P will be (6/5, -7/5).
Then the correct option is C.
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Joe has an ice cream stand. last week he spent $85 for ice cream and supplies. he earned $125. what was his profit?
Answer:
40 dollars
Step-by-step explanation:
Profit is what he earned minus his costs
Profit = 125 -85
Profit = 40
HELP PLSSSSSS hdghgdhj
Answer:
A
Step-by-step explanation:
Use the Pythagorean Theorem: a^2 + b^2 = c^2
The cable will be the hypotenuse, so c = 11.3 m
One leg is the distance of the anchor, so a = 4.2 m
(4.2)^2 + b^2 = (11.3)^2
17.64 + b^2 = 127.69
Subtract 17.64 from both sides
b^2 = 110.05
Square root both sides
b = ~10.5 m
Given triangle ABC, A=105°, a=10cm, b=7cm, find B,C and c.
The value of the side c will be 5.56 cm and angle C is 32.49° and angle B is 42.51°.
What is law of cosine?Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
a² + b² – 2ab cos C = c²
Given triangle ABC, A = 105°, a = 10 cm, b = 7 cm.
Then we have
7² + c² – (2 · 7 · c) cos 105° = 10²
c² + 3.62c – 51 = 0
On solving, we have
c = 5.56
Then the angle C will be
10² + 7² – 2 · 7 · 10 · cos C = 5.56²
149 – 140 cos C = 30.91
cos C = 0.8435
C = 32.49°
We know that
∠A + ∠B + ∠C = 180°
105° + ∠B + 32.49° = 180°
∠B = 42.51°
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Line segment KL is tangent to circle J at point K.
Circle J is shown. Line segment J K is a radius with length r. Line segment K L is a tangent with length 24 and it intersects the circle at point K. A line is drawn from point L to point J and goes through a point on the circle. The length from point L to the point on the circle is 16. The length from the point on the circle to center point J is r.
What is the length of the radius, r?
8 units
10 units
12 units
16 units
Using the tangent theorem, the length of the radius is: B. 10 units.
What is the Tangent Theorem?According to the tangent theorem, since KL is tangent to the circle, therefore, angle JKL = 90°.
Since the triangle is a right triangle, apply the Pythagorean theorem:
(r+16)² = r² + 24²
r² + 32r + 256 = r² + 576
r² - r² + 32r + 256 = 576
32r + 256 = 576
32r = 576 - 256
32r = 320
r = 320/32
r = 10
The radius is: B. 10 units.
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Answer:
B. 10 Units
Step-by-step explanation:
Aiden has a smart phone data plan that costs $25 per month that includes 2 GB of data, but will charge an extra $10 per GB over the included amount. How much would Aiden have to pay in a month where he used 2 GB over the limit? How much would Aiden have to pay in a month where he used went over by xx GB?
Total cost when over by 2 GB:
Total cost when over by xx GB:
need answer quick
Answer:
45 dollars for going over 2GB
Step-by-step explanation:
If he pays 25 dollars every month and he goes over 2 GB then he’ll have to pay 20 dollars extra since every GB over cost 10 dollars. The equation is 25+10+10 which equals 45.
An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
The amount when 2 GB is used over the limit in a month is $45.
What is an expression?An expression is a mixture of terms that are combined by using operations such as subtraction, addition, multiplication, and division.
Example: 2x + 3x2 is an expression.
We have,
Cost of data plan with 2 GB = $25
Cost of one GB = $10
The equation that can be used to find the amount to pay when using x GB over the limit in a month:
= 25 + 10x
The amount when 2 GB is used over the limit in a month:
= 25 + 10 x 2
= 25 + 20
= $45
Thus,
The amount when 2 GB is used over the limit in a month is $45.
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What is the measure of ∠z
Answer:
155°
Step-by-step explanation:
z = 65° + y
y is a right angle
=> y = 90°
=> z = 65° + 90° = 155°
In studies that use more than one data collector, how is the consistency of the data evaluated?.
The way that the consistency of data is evaluated if more than one data collector is used is; Inter - rater reliability
How to find consistency in data research?When researching data about anything, it is pertinent to note that sometimes, we have to use more than one data collector just to get a more thorough result which only one person may not be able to generate.
Now, the way that consistency of data is evaluated when more than one data collector is used is via Inter-rater reliability. This is because Inter-rater reliability is the extent to which two or more raters or observers agree.
The benefit of Inter-rater reliability is that It addresses the issue of consistency of the implementation of a rating system. Inter-rater reliability can be evaluated by using a number of different statistics.
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the coordinate of two point P(4,6) and Q(5,-7) then find (abicissa of P) -(abicissa of Q)
The value of (abscissa of P) -(abscissa of Q) is -1.
The given coordinates are P(4,6) and Q(5,-7).
We need to find (abscissa of P) -(abscissa of Q).
What is abscissa?The horizontal coordinate of a point in a planar Cartesian coordinate system that is determined by measuring parallel to the x-axis is what abscissa stands for.
Now, (abscissa of P) -(abscissa of Q)=4-5=-1
Hence, the value of (abscissa of P) -(abscissa of Q) is -1.
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Susie plans to run 2 miles per day the first week and then increase the daily distance by a half a mile each of the following weeks. How long before the marathon should she start?
There are many ways to approach this problem. Some include, make a table, write a function, create ordered pairs...
1. Identify and label the variables.
2.Make a table for up to 6 weeks to see a pattern.
3. Write an equation to represent the nth term of the sequence.
4. If the pattern continues during which week will she run 10 miles per day?
5. Is it reasonable to think that this pattern will continue indefinitely, explain?
6. How long before the marathon should she start?
PLEASE ANSWER ALL QUESTIONS IF YOU CAN PLEASEE
Due to length restrictions, we kindly invite to see the explanation below to know the answer with respect to each component of the question concerning linear equations.
How to determine a linear equation describing the daily distance of a runner
In this question we need to derive an expression of the daily distance as a function of time. Now we proceed to complete the components:
Linear equations have an independent variable (t - time) and a dependent variable (x - daily distance).We notice that the daily distance increases linearly in time, then then we have the following pattern:To learn more on linear equation: https://brainly.com/question/11897796
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hi can some one help me
-5≥
so 8 x -5 = -40 - 16 = -56 and that's the smallest number you can get that will be greater than -64 hope this helps! :)
Answer:
x> -6
Step-by-step explanation:
Drag the -16 to -64. This will change the -16 to a positive 16. Add -64 and 16. The answer is -48. All that should be left is 8x>-48. Now we need to divide -48 and 8 so we can leave x. The answer should be -6 on one side, and x on the other side. x> -6
Please help! Which of the following would result in an integer?
Answer:
B
Step-by-step explanation:
Cube root of 27 is 3, which is in integer
is the ratio 16: 4 equivalent to 12:3
Yes, because 16 divided by 4 is 4, and 12 divided by 3 is also 4
14-8+3+8x(24÷8)
tell accordingly and i will mark every answer as brainliest
Answer:
33
Step-by-step explanation:
Apply BODMAS(Brackets Of Division Multiplication Addition Subtraction)
Answer:
+33
Step-by-step explanation:
first (24÷8), 8x(3), 14-8+3+24 =33
If a/b = 3b, what is the value of 6b/a ?
A = 2/a
B = 2/b
C = 2a
D = 2b
Answer:
2/b
Step-by-step explanation:
a/b=3b
a=3b*b
a=3b^2
6b/a=6b/(3b^2)=2/b
what is the gradient and y-intercept of y+2n=5
Answer:
Step-by-step explanation:
Jamie has 5 jars to fill with beads for a carnival game. She has 7.5 cups of multi-colc
beads. Jamie wants to put an equal amount of beads in each jar. How many cups o
can she place into each jar?
Part A Use pictures to solve the problem.
Answer.
cup
Answer:
1.5 cups of multi-color beads per jar
Step-by-step explanation:
We are dealing with dividing fractions that tells us how many parts of a whole we have
7.5 cups of beads / 5 jars = 1.5 cups of beads per jar 5 whole cups goes into 7 jars with 2.5 cups remaining2.5 cups split into 5 jars can be evenly split into 0.5 cups per jarLearn more about dividing Fractions at: https://brainly.ph/question/246177
Visual Representation:
Please help me
Find the value of x
Answer:
52=x-15(being vertically opposite angle)
52+15=x
x=67
Can anyone help me with this one?
Answer:
c .26
Step-by-step explanation:
Male AND drama is 124 out of 479 total
124/479 = .26
Which expression is equivalent to
A five-digit integer will be chosen at random from all possible positive five-digit integers. What is the probability that the number's units digit will be less than 5
The probability that the number's units digit will be less than 5 is 0.5 that it is equal to 1/2.
Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
There are 10 possible digits, 0, 1, 2, ... 9 that make up the 5-digit number made up of integral values.
There are 5 digits that are less than 5 which are 0, 1, 2, 3, and 4 so the probability will be found by taking only those nubers which have unit's place less than 5,
By probability formula , Probability= no. of favourable outcomes/total no. of outcomes
So probability will be found that will be equal to 5/10, or 1/2
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PLEASE ANSWER ASAP!!!!!!!!
Consider △ABC, where a = 8, c = 11, and m∠C=33∘.
What are the measures of the missing angles and missing side?
Enter your answer by filling in the boxes. Enter all values rounded to the nearest tenth.
m
m
b=
The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
What is a Triangle ?Triangle is a polygon with three sides , three angles and three vertices.
Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree
The missing angle and side is given by Cosine rule of triangle
c² = a² + b² - 2ab cosC
11² = 8² + b² - 2* 8 * b * cos 33
57 = b² -13.42 b
b² -13.42b -57 = 0
b = 16.8
By sine rule
a / sin A = b/sin B = c/sinC
8 / sin A = 11 / sin 33
A = 23.33 degree
Similarly
B = 123.7 degree
Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
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Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
The rotation is 180 degrees in clockwise direction.
What is rotation?
The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.
The complete question is:
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.
As, (x,y) to (-x, -y)
Hence, the rotation is 180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.
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Solve the quadratic function by factoring.
y = 4x² 13x + 10
Answer: [tex]x=-\frac{5}{4}[/tex] and [tex]x=-2[/tex]
Step-by-step explanation:
To factor an equation in the form of [tex]ax^2+bx+c[/tex] you need to find the value of [tex]ac[/tex]. So first solve for that
[tex](4)(10) = 40[/tex]
Now we need to find two numbers that add up to b and multiply together to make ac. In this case those numbers are 5 and 8 since 5+8=13 and (5)(8)=40
Now split 13x into 5x+8x and solve by grouping
[tex]4x^2+5x+8x+10\\(4x^2+5x)+(8x+10)[/tex]
Factor out the GCF in each quantity
[tex](4x^2+5x)+(8x+10)\\x(4x+5)+2(4x+5)[/tex]
Now group x+2 together
[tex](x+2)(4x+5)[/tex]
Finally, set each factor equal to 0 and solve for x
[tex]x+2=0\\x+2-2=0-2\\x=-2\\\\\\4x+5=0\\4x+5-5=0-5\\4x=-5\\\frac{4x}{4} =\frac{-5}{4} \\x=-\frac{5}{4}[/tex]
Can someone help me pleaseeee.
The figure is given in the below diagram.
The steps of constructing a square inside a circle are as follows:
Start from the middle O of the provided circle.
Finding the center of a circle's approach can be used to create the center of the circle's center point is not known.
1. Draw a circle and label point A. This will turn into one of the square's vertices.
2. Create point C by drawing a diameter line from point A through the center and back out to the outside of the circle.
3. Set the width of the compass to a little bit more than the distance to O.
4. Sketch an arc above and under O.
5. Repeat by moving the compass to C.
6. To create the new points B and D, draw a line across the intersection of the arc pairs that is long enough to touch the circle at both the top and bottom.
This diameter is perpendicular to the first AC.
7. Draw a line connecting each pair of points A, B, C, and D.
Done. The circle is circled by the square ABCD.
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#+3)(2+1) for x = 3.
c+5)(x-5)
Answer:
x=1/3
Step-by-step explanation:
first multiply both bracket to together and then you get, 9x=3
x=1/3, then sub in to other equation and get the rest answer.
hope it helpful
The length of a rectangle exceeds its width by 4
inches, and the area is 60 square inches. What
are the length and width of the rectangle?
Answer:
length = 10 in, width = 6 in
Step-by-step explanation:
Let the width be x.
Then, length = (x+4)
Area = 60 in²
Area of a rectangle = width × length
60 = x × (x+4)
60 = x² + 4x
x² + 4x - 60 = 0
Splitting the middle term :-
x² + 10x - 6x - 60 = 0
x (x + 10) - 6 ( x + 10) =0
(x + 10) ( x - 6)
x = -10 (doesn't fulfill our requirement)
x = 6
So, width = 6 in
length = 6+4 = 10 in
What is -4(5x-3)+12 simplified
Answer:
20x+24Step-by-step explanation:
-4(5x-3)+12
-20x+12+12
20x+24
my answer is 20x+24.
The simplified form of the given expression -4(5x-3)+12 would be 20x+24.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given;
-4(5x-3)+12
Open the bracket
-20x+12+12
Solve the like terms;
20x+24
Hence, the simplified form of the given expression -4(5x-3)+12 would be 20x+24.
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If 343 superscript x baseline = 49 superscript 4 minus x, what is the value of x?
The value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
Exponents are of the form aˣ, read as "a to the power of x", and signify the product of a multiplied by itself x number of times.
In the question, we are given that 343ˣ = 49⁴ ⁻ ˣ, and are asked to find the value of x.
We try to solve the exponential equation, using the laws of exponents in the following way:
343ˣ = 49⁴ ⁻ ˣ,
or, (7³)ˣ = (7²)⁽⁴ - ˣ⁾ {Since, 343 = 7³ and 49 = 7²}.
or, 7³ˣ = 7⁸ ⁻ ²ˣ {Using the law: [tex](x^{a})^{b} = x^{ab}[/tex]},
or, 3x = 8 - 2x {Using the law: [tex]x^a = x^b \Rightarrow a = b[/tex], when x ≠ 0}.
or, 3x + 2x = 8 - 2x + 2x {Adding 2x to both sides of the equation},
or, 5x = 8 {Simplifying}
or, 5x/5 = 8/5 {Dividing both sides by 5},
or, x = 8/5 or 1.6 {Simplifying}
Therefore, the value of x is 8/5 or 1.6 when 343ˣ = 49⁴ ⁻ ˣ, using the laws of exponents.
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The boarding platform of a Ferris wheel is 4 meters above the ground and the Ferris wheel is 24 meters in diameter and spins once every 7 minutes. How many minutes of the ride are spent higher than 22 meters above the ground
The number of minutes of the ride that are spent higher than 22 meters above the ground is; 2.64 minutes
How to find the number of revolutions?We are given;
bottom of the Ferris Wheel is 4 meters off the ground.
Radius = diameter/2 = 24/2; r = 12 meters.
Thus, the center of the Ferris Wheel is 4 + 12 = 16 meters off the ground.
A horizontal line through the center of the Ferris Wheel is 16 meters off the ground, and therefore the lower half of the Ferris Wheel is always below 22meters.
The distance from the horizontal to 22 meters is 22 - 16 = 6 meters.
The angle between the horizontal and a radius to 22 meters is;
sin(θ) = 6/16
θ = sin⁻¹(6/16)
θ = 22.02°.
This angle height is on both sides of the Ferris Wheel and as such;
180° + (2 * 22.02) = 224.04° is always under 16 meters.
Thus, what is above 16 meters is 360° - 224.04° = 135.96°
Since it takes 7 minutes for 1 revolution, then the amount of time the Ferris Wheel is above 16 meters is;
(135.96/360) * 7 min ≈ 2.64 minutes
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