Explanation
Given
\(P^3\cdot P^4\)This can be written without exponents as follows
\(\begin{gathered} P^3\cdot P^4=(P\times P\times P)\cdot(P\times P\times P\times P) \\ P^3\cdot P^4=P\times P\times P\times P\times P\times P\times P \end{gathered}\)The last part of the question is in exponent form, that is,
From the rule of indices,
\(\begin{gathered} P^3\cdot P^4=P^{3+4} \\ P^3\cdot P^4=P^7 \end{gathered}\)Find x . Round to the nearest tenth of a degree.
Answer:
36.9°
Step-by-step explanation:
Sin x = 9/15 = 3/5
x = sin^-1 3/5
x= 36.87
x= 36.9° to nearest tenth
Kira has $40 to spend and used $20 to buy a new pair of jeans. Which integer best represents the situation of spending $20
Answer:
20 because 40 is a positive and spent is negative
Step-by-step explanation:
What is the value of x in the parallellogram below?
Given:
Side DC=
\(5x-6\)Side AB=
\(9x-30\)\(\angle A=110\degree\)Required:
The value of
\(x\)Answer:
We know that the opposite sides of the parallelogram are equal.
Therefore,
side DC = side AB
\(\begin{gathered} 5x-6=9x-30 \\ 9x-5x=-6+30 \\ 4x=24 \\ x=6 \end{gathered}\)Final Answer:
The value of
\(x=6\)The lengths of two sides of a triangle are shown.
Side 1: 8x2 - 5x - 2
Side 2: 7x - x2 , 3
The perimeter of the triangle is 4xJ - 3x?
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? justify your answer. (2
points)
The Total length of two sides based on the information will be 7x²+2x+1
The Length of the third side will be 4 x³-10x²-7.
How to calculate the lengthTotal length of two sides= Side 1 + Side 2
= 8x² − 5x − 2+ 7x − x²+ 3
= 8x²-x²-5x+7x-2+3
= 7x²+2x+1
Length of the third side = Perimeter - Total length of two sides
Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)
= 4x³ − 3x² + 2x − 6-7x²-2x-1
= 4 x³-10x²-7
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Which function is graphed below? Select all that apply.
Write an expression that has only one term and is equivalent to the expression below (f × g²) + 5 - (g² × f)
The expression that is equivalent to (f × g²) + 5 - (g² × f) is 5
How to determine the equivalent expression?The expression whose equivalence is to be determined is given as
(f × g²) + 5 - (g² × f)
To start with, we need to remove the brackets in the expression
So, we have the following representation
(f × g²) + 5 - (g² × f) = f × g² + 5 - g² × f
Evaluate the products
This gives
(f × g²) + 5 - (g² × f) = fg² + 5 - fg²
Next, we collect the like terms
So, we have
(f × g²) + 5 - (g² × f) = fg² - fg² + 5
Lastly, we evaluate the like terms
So, we have
(f × g²) + 5 - (g² × f) = 5
The above expression cannot be further simplified
Hence, the equivalent expression is 5
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Lucy spent 4 hours babysitting last week. Her sister Maria spent (b) times as many hours babysitting as Lucy that same week. Select ALL values for (b) where Maria babysits more hours than her sister Lucy.
Answer: I need a diagram to answer this correctly
Step-by-step explanation: I do not have what is needed in order to answer this question
Let a = (2, 1, 0), b = (3, -1, 2), c = (4, 0, 3)
Find the volume of the parallelopiped with sides a, b and c.
The volume of the parallelopiped is 14 cubic units
What is the volume of a parallelopiped?The volume of a parallelopiped with vector sides a, b and c is given by
V = (a × b).c
Given that the parallelopiped has sides
a = (2, 1, 0)b = (3, - 1, 2) and c = (4, 0, 3)So, we have that
(a × b) = (2, 1, 0) × (3, -1, 2) = (2 × 3)i × i + (2 × -1)i × j + (2 × 2)i × k + (1 × 3)j × i + (1 × -1)j × j + (1 × 2)j × k + (0 × 3)k × i + (0 × -1)k × j + (0 × 2)k × k
Since
i × i = 0, j × j = 0, k × k = 0, i × j = k, j × i = -k, j × k = i, k × j = -i, k × i = j, i × k = -j,So,
(a × b) = (2, 1, 0) × (3, -1, 2) = (6) × 0 + (-2)k + -(4)j + 3i + (-1) × 0 + (2)i + -(3)j + -(0)i + (0) × 0
= 0 -2k - 4j + 3i + 2i - 3j - 0 + 0
= 5i -7j - 2k
= (5, -7, -2).
Since (a × b) = (5, -7, -2)
So, the volume of the parallelopiped is
V = (a × b).c
= (5, -7, -2).(4, 0, 3)
= 5 × 4 + (-7 × 0) + (-2 × 3)
= 20 - 0 - 6
= 14.
So, the volume is 14 cubic units.
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what is the scale factor? 4/x = 8/3
Answer:
x= 3/2
Step-by-step explanation:
8/3= 2.6 repeating
4/(3/2)= 2.6 repeating
Hi can you guys help me with this please
Answer:
C
Step-by-step explanation:
i think
Answer:
C
Step-by-step explanation:
measure of angle Q is 70 degrees. Find the measure of angle P.
Answer:
40 degrees
Step-by-step explanation:
Pls answer whoever answer right first will g Brainlyiest
Answer:
D the last one
Step-by-step explanation:
Of the following, which statement or statements accurately reflect a way in which credit can be safer than cash?
1. If your credit card gets stolen, you can cancel it and get your money back.
II. It is harder to lose a single credit card than a large number of bills.
III. If a merchant does not honor the agreement, you can call the credit company and dispute the charges.
A.I and III
B.ll only
C.Ill only
d. 1, 11, and 111
Please select the best answer from the choices provided.
===================================================
Explanation:
Statement I is true. If your card gets stolen, then you can cancel it and get your money back. That's true and it happens all the time. The credit card company would issue a new card with a new number. Law enforcement is very likely to track the old card to catch the thief. Statement II is false. It's easier to lose a single small credit card than a large number of bills. Lost credit cards, not necessarily stolen ones, are also issued new replacements. Statement III is true. If you buy an item online for instance, and the item never arrives, then you can dispute the claim and get your money back. This also applies to payment processors such as Paypal and similar companies.21% of hospital patients stay for less than 1 day. If 1,134 patients in January stay less than 1 day what total of number of patients did the hospital treat in January?
Mr. Azu invested an amount at rate of 12% per annum and invested another amount, 580 ghana cedis more than the first at 14% . if Mr. Azu had total accumulated amount of 2,358.60, how much was his total investment?
Answer:
2082.12 was the total invested
Step-by-step explanation:
Let x represent the amount invested at 14%. Then the amount invested at 12% was (x-580). The total accumulated amount was ...
112%(x -580) +114%(x) = 2358.60
2.26x -649.60 = 2358.60
2.26x = 3008.20 . . . add 649.60
x = 1331.06 . . . . . . divide by 2.26
x -580 = 751.06
The total invested was 1331.06 +751.06 = 2082.12 cedis.
__
Check
The investment at 12% was 751.06, so the accumulated amount of that investment was 751.06×1.12 = 841.19.
The investment at 14% was 1331.06, so the accumulated amount of that investment as 1331.06×1.14 = 1517.41.
The accumulated total amount was 841.19 +1517.41 = 2358.60.
15 men can dig a ditch in 10 days, how many day
Will 10men take working at the same rate
Answer:
If 10 men dig a ditch in 12 days .
Total man-days required to dig the ditch
= 10 men × 12 days
= 120 man-days
how long would 15 men take to dig it?
No of days required to finish the job by 15 men
= 120 men-days / 15 men
= 8 days
Answer: 8 days will be required to finish the job by 15 men
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
Answer:
Answer:
\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \)
by using Pythagoras law:
h²=p²+b²
x²=9²+12²
x=√225=15unit
A function g(x) is defined by g(x) = −log4(x – 3) + 2.
Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations. (5 points)
Part B: Determine the vertical and horizontal asymptotes of g(x). Show all necessary calculations. (5 points)
Part C: Describe the interval(s) in which the graph of g(x) is positive. Determine the end behavior of g(x). (5 points)
Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.
Part B : The range of this function is (- 17, ∞).
Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.
The interval at which the graph is positive is (3, 28)
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.
The domain of this function is [3, ∞) as (x - 3) ≥ 0.
The range of this function is (- 17, ∞).
The vertical and horizontal asymptotes of this function are 3 and 2 respectively.
The interval at which the graph is positive is (3, 28)
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What is a tessellation, how are tessellations used, and what must happen at vertices in order for polygons to tessellate?
A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.
Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.
For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.
This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.
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The following five values are a sample: 11, 6, 10, 6, and 7. Required: a. Compute the sample variance. (Round your answer to 1 decimal place.) b. Determine the sample standard deviation.
The standard deviation of a sample is the square root of the variance
The variance is 5.5The standard deviation is 2.35How to determine the varianceThe sample is given as: 11, 6, 10, 6, and 7
Start by calculating the mean
\(\bar x = \frac{\sum x}{n}\)
So, we have:
\(\bar x = \frac{11+ 6+ 10+ 6+ 7}{5}\)
\(\bar x = 8\)
The variance is then calculated as:
\(\sigma^2 = \frac{\sum(x - \bar x)^2}{n -1}\)
This gives
\(\sigma^2 = \frac{(11 - 8)^2 + (6 - 8)^2 + (10 - 8)^2 + (6 - 8)^2+(7 - 8)^2}{5 -1}\)
\(\sigma^2 = 5.5\)
Hence, the variance is 5.5
How to calculate the standard deviationIn (a), we have:
\(\sigma^2 = 5.5\)
Take the square roots of both sides
\(\sqrt{\sigma^2} = \sqrt{5.5\)
\(\sigma = 2.35\)
Hence, the standard deviation is 2.35
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Find the area of each figure. Use 3.14 for pi.
Answer:
23.14 m²
Step-by-step explanation:
square = 3 x 3 = 9 m²
the 4 semi-circles are equal to 2 complete circles, so:
radius = 3/2 = 1.5
semi-circles = (2)(3.14)(1.5²) = 14.14 m²
9 + 14.14 = 23.14 m²
i need a equation for 4x + 12 = 64
thanks :)
Answer: x=13
Step-by-step explanation: i think
The sum of two numbers is eight.
The sum of the squares of the two
numbers is thirty-four, Find the
two numbers.
Answer: 3 and 5
Step-by-step explanation: 3 plus 5 is 8 and 3 squared (9) plus 5 squared (25) is 34
A triangular prism has the
dimensions as shown below.
Each congruent base is an
equilateral triangle.
24.2 mm
28 mm
40 mm
Which of the following
measurements is closest to the
total surface area of the
triangular prism in square
millimeters?
Which of the following is NOT used for calculating slope.
(y-y)/(x-x)
Y/x
change in y over the change in x
right triangle on a graph
rise/run
(x-x)/(y-y)
Delta y over Delta X
Answer:
(x-x)/(y-y)
Step-by-step explanation:
Slope is defined by the change in y divided by the change in x, not the change in x divided by the change in y.
3. [-/2 Points]
Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.)
4x² + 5x-6
x+2
DETAILS
20
lim
X--2
Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to confirm your result.
g(x)
LARCALC12 1.3.044.
Need Help? Read It
The limit of the function as x approaches -2 is 20.To find the limit of the function (if it exists), we can substitute the given value into the function and simplify. Given function: f(x) = 4x² + 5x - 6x + 2
To find the limit as x approaches -2, we substitute -2 into the function:
f(-2) = 4(-2)² + 5(-2) - 6(-2) + 2
= 4(4) - 10 + 12 + 2
= 16 - 10 + 12 + 2
= 20
Therefore, the limit of the function as x approaches -2 is 20.
To write a simpler function that agrees with the given function at all but one point, we can use a graphing utility. By plotting the given function and observing its behavior, we can create a simpler function that matches the original function except at one point.
However, without further information about the specific behavior of the given function, it is not possible to provide a more detailed explanation or a graph of the simpler function.
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In the diagram, the measure of angle 5 is (10x – 9)°, and the measure of angle 7 is (9x)°. What is the measure of angle 6, to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 6, to the nearest degree?
9514 1404 393
Answer:
99°
Step-by-step explanation:
If we assume that angles 5 and 7 are vertical angles, they are congruent:
10x -9 = 9x
x = 9 . . . . . . . add 9-9x
Then angles 5 and 7 are ...
(10·9 -9)° = 9·9° = 81°
Angle 6 will be the supplement to this.
angle 6 = 180° -81°
angle 6 = 99°
Answer:
the answer is not 99
Step-by-step explanation:
How do you find this ?
Answer:
Option D : 22°
Step-by-step explanation:
The relationship between angle C and the two legs of the right triangle ie AB and BC is
\(\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ\)
Rounded to the nearest degree this would be 22°
Option D
Answer:
D
Step-by-step explanation:
using either the sine or cosine or tangent ratios in the right triangle , that is
sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{2}{\sqrt{29} }\) , then
∠ C = \(sin^{-1}\) ( \(\frac{2}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )
or
cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{5}{\sqrt{29} }\) , then
∠ C = \(cos^{-1}\) ( \(\frac{5}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )
or
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{2}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{2}{5}\) ) ≈ 22° ( to the nearest degree )
A geologist visits 70 volcanoes in Alaska and California. what if 10% of the volcanoes were in California? How many volcanoes would the geologist have visited in California and how many in Alaska?
Answer:
7 in California and 63 in Alaska.
Solve the equation. 10p -5= - 6+2p
Answer:
STEPS : 10p -5= - 6+2pArrange similar algebra given there ... which is 'p' here , Now ;
10p -5= - 6+2p
or, 10p -2p = -6+5
( NOTE : Moving to opposite side , + becomes - and - becomes + )
10p -2p = -6+5
8p = - 1
p = - 1 / 8
Answer:
\(\frac{-1}{8}\)
Step-by-step explanation:
You balance the equation by getting rid of the variable on one side and then you get rid of the constant on the other then solve from there
10-5=-6+2p
10p-5-2p=-6+2p-2p
8p-5+5-6+5
8p=-1
\(\frac{8p}{8}=\frac{-1}{8}\)
p=\(\frac{-1}{8}\)
To solve the equation we put -1/8 in the p spot:
10x-1/8-5=-6+2x-1/8
-1.25-5=-6+-0.25
-6.25=-6.25
The equation = -6.25