The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.
Answer:
a = 4, b = 2, c = 16, d = 9
Solving the first part of the question by indices,
Comparing the rightmost term with the second term in the question,
a = 4, b = 2
Solving on,
Comparing with the final term in the question,
c = 16 and d = 9
Therefore,
a = 4, b = 2, c = 16, d = 9
pls give brainest
Answer:
A - 4
B - 2
C - 16
D - 9
Step-by-step explanation:
Just took the test on edg 2020
Which type of rock is shown in each of these photographs?
Answer:
igneous
Step-by-step explanation:
igneous rocks are made out of molten lava or magma
Answer:
sedimentary rock/igneous rock and Metamorphic rock
Step-by-step explanation:
Evaluate the expression 2m + 9p - 11 when m = 3 and p = 4.
a
31
b
78
c
41
d
107
Answer: A: 31
Step-by-step explanation:
2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11
42-11
31
Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.
Answer:
43.3
Step-by-step explanation:
45-5=40,
0.0825*40=3.3
40+3.3=43.3
Solve the system of equations by substitution
====================================
\(\large \sf \underline{Problem:}\)
Solve the system of equations by substitution
====================================.
\(\large \sf \underline{Answer:}\)
x = - 5y + 4
====================================
\(\large \sf \underline{Explanation:}\)
x + 5y = 42x + 10y = 8
2(- 5y + 4) + 10y = 8
substituted in the equation for x - 10y - 8 + 10y = 8
distributed
8 = 8
combined like terms 0 = 0(- 10y + 10y)
====================================
Alondra is asked about her age. She answers as follows. "My age is 6 more than four times the age of my son." How old is her son if Alondra is 46 years old?
Answer:
10 years old
Step-by-step explanation:
lets break it down:
6 more means +6
four times means *4
so if her son is x years old, she is 4x+6
since we know she's 46, we know that 4x+6=46
now we just solve the equation
4x+6=46
-6 on both sides
4x=40
/4 on both sides
x=10
Enter the number of tens and ones in the chart for 61+14=75
For one month diera calculated her home towns average high temperature
The answer for this question is Celsius for Fahrenheit.
The Formula for Converting TemperatureTo convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.
(50°F - 32) x.5556 = 10°C, for instance.
When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.
For instance, (30°C x 1.8) + 32 = 86°F'
Here are two useful charts that translate between F and C as well as between C and F.
How to calculate her home towns average high temperature?The temperature of f degrees Fahrenheit converted to degree Celsius.
(( f)=5/9 (f-32)
represent the temperature of f degrees Fahrenheit converted to degree Celsius.
The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.
So that means if the temperature is in Fahrenheit it will be converted to Celsius.
So that means the C(F) represents the Celsius temperature.
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Complete Question -
For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?
in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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Vijay bought a camera that was marked down 80% from an origanal price of 355$. On the marked down price, if he paid 4% sales tax,what was the total cost of the camera.
Answer:
$73.84
Step-by-step explanation:
355(1-0.80)(1+0.04) = 73.84
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
HELP IF RIGHT I WILL MARK BRAINLIEST!!!! TRUST
Answer:
I came up with 412cm^2
Step-by-step explanation:
10*12+(12*2)2+(10*2)2+6*8+(8*3)2+(6*3)2+(12*10-6*8)
5(9/12−1/4)+0.5 pls answer correctly
Answer:
3
Step-by-step explanation:
5(9/12 -1/4) +0.5
= 5(9/12 -3/12) +1/2 . . . . . . express the fractions using a common denominator
= 5(6/12) +1/2 . . . . . . . add the fractions
= 5(1/2) +1/2 . . . . . . reduce the result
= (5 +1)(1/2) . . . . factor out 1/2 (easier than adding mixed numbers)
= 6/2 = 3
_____
A calculator can be a useful tool for evaluating numerical expressions.
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answer:
Step-by-step explanation:
Its 4.51
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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find the equation of the axis of symmetry of the parabola. each box in the grid represents $1$ unit.
According to the information, we can infer that the equation expressed by the parable symmetry axis is x = −b2a.
What is the axis of symmetry of a parable?The symmetry axis of a parable is a term that refers to a vertical line that divides the parable into two congruent halves. The axis of symmetry always passes through the vertex of the parable.
How to find the symmetry axis of this parable?To find the symmetry axis of this parable we must perform the following procedure taking into account the following information:
Graph the parabola y = x2−7x+2Additionally, we must compare the equation with y = ax2+bx+c to find the values of a, b, and c. Then these values would be like this:
A = 1B = −7C = 2According to the above, we can replace these values to solve the equation of axis of symmetry. then, the graph of a quadratic equation in the form Y = Ax2+Bx+C has ss its axis of symmetry the line X = −B2a.
Note: This Question is incomplete. Here is the complete information:
Attached Image
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Factorize the expression
X³-2x²-5x+6
Answer:
(x-1) (x-3) (x+2)
Step-by-step explanation:
I hope this helps!
Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,
Step-by-step explanation:
cos 0=5/13. B/H
p=√h2 - b2
= √13 square -5 square
=√169 -25
=√144
=12 Ans
Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12
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Kerri keeps a bowl of change on her dresser. She only keeps dimes and quarters. She has five dollars in change in the bowl right now. If she has exactly 29 coins in the bowl, how many quarters does she have?
The number of quarters in the bowl is 14.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x+ 3 = 9 is an equation.
We have,
Dimes = x
Quarters = y
10 dimes = $1
1 dime = $0.1
4 quarters = $1
1 quarter = $0.25
Now,
0.1x + 0.25y = 5 _____(1)
x + y = 29 _____(2)
Solve for y from (1) and (2),
x = 29 - y
Substitute in (1) we get,
0.1 (29 - y) + 0.25y = 5
2.9 - 0.1y + 0.25y = 5
2.9 + 0.15y = 5
0.15y = 5 - 2.9
y = 2.1/0.15
y = 14
Thus,
There are 14 quarters in the bowl.
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You walk in a room and on the bed there are 2 dogs, 4 cats, one giraffe, 5 cows and a duck, 3 chickens flying above; how many legs are on the floor?
Answer:
0
Step-by-step explanation:
they are on the bed
The total legs on the floor excluding chicken is 50 legs
Word problemsFrom the given question, the following animals have 4 legs
dogs, cats, girraffe and cows
Duck and chickens both have 2 legs
The total number of legs on the floor = 4(2) + 4(4) + 1(4) + 5(4) + 1(2)
Total number. = 8 + 20 + 22
Total number = 50legs
Hence the total legs on the floor excluding chicken is 50 legs
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How did astronomers determine where Earth is located within the Milky Way?
answer: The Earth's place in the galaxy was determined largely by an astronomer named Harlow Shapley. Thanks to the regular periods of these stars and their presence in globular clusters, Shapley was able to map the distances to a number of clusters.
Step-by-step explanation:
Answer:
An astronomer Named Harlow Shapley was the one who announced where we are in space ( Earth ). How? with the help with stars brightness ( Absolute Magnitude ) whereas to how bright a stat appears to be ( magnitude ) they use that calculation to determine the distance from Earth. Harlow Shapley couldn't do this on his own as he needed help with another one's work named Henrietta Swan Leavitt. ( Who established that "Variable Stars" could determine the "astronomical distance " )
Using the given information, find the mean, median, and mode.
To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:
Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.
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20 points
Use Pythagoras' theorem to work out the
height of the equilateral triangle below.
Give your answer in centimetres
(cm)
Answer:
9 × √3 cm or approximately 15.59 cm
Step-by-step explanation:
(look at the picture)
Smith Builders paid $320.00 to rent a fork lift for several hours. The rental company charged them a
flat fee of $120.00 plus $16.00 per hour.
b) For how many hours did they have the fork lift? Show work.
Answer:
they had it for 12.5 hours
Step-by-step explanation:
$320.00-$120.00
$200.00/$16.00=12.5
subtract the fee $120 from the total $320 then divide the $200 by the price per hour $16
Solve using tangent and cosine
The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.
What are the sides of the triangle labelled x?The figures in the image are right triangles.
A)
angle D = 17 degree
Adjacent to angle D = 14 mm
Opposite to angle D = x
To solve for the missing side length x, we use the trigonometric ratio.
Note that: tangent = opposite / adjacent
Hence:
tan( 17 ) = x/14
x = tan( 17 ) × 14
x = 4.3mm
B)
angle Z = 82 degree
Adjacent to angle Z = 43.1 m
Hypotenuse = x
Using trigonometric ratio,
cosine = adjacent / hypotenuse
cos( 82 ) = 43.1 / x
x = 43.1 / cos( 82 )
x = 309.7 m
Therefore, the measure of x is 309.7 meters.
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p= 14.63 - 0.84
Help me
Answer:
P = 13.79
Step-by-step explanation:
14.63 - 0.84 = 13.79
A ship traveled 60 miles due east and then adjusted its course 15 degrees northward. After traveling for a while, the ship turned back towards the port. The ship arrived in the port 139 miles later. What angle did the ship turn through when it headed back to the port? What is the total area that the ship covered during its journey? Round your angle to the nearest whole degree and the area to the nearest mile.
a. The angle that the ship turn through when it headed back to the port is 6.4°.
b. The total area that the ship covered during its journey 80.3 miles.
The angle and the total area covereda. Angle
Let p represent the angle
Sin(180°-15°)/139=SinP/60
Sin165°/139=SinP/60
P=Sin^-1 (60sin165°/139)
P=6.4°
b. Total area covered
Let x represent the Total area covered
Hence:
Sin8.6°/x=Sin165°/139
x=80.3 miles
Inconclusion the ship turn at angle 6.4° and the total area is 80.3 miles.
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What values of x
and y
satisfy the system of equations {8x+9y=−36 x+7y=1}
Enter your answer as an ordered pair, like this: (42, 53)
If your answer includes one or more fractions, use the / symbol to separate numerators and denominators. For example, if your answer is (4253,6475),
enter it like this: (42/53, 64/75)
If there is no solution, enter "no"; if there are infinitely many solutions, enter "inf."
The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.
To solve the given system of equations:
Equation 1: 8x + 9y = -36
Equation 2: x + 7y = 1
We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:
From Equation 2, we can solve for x:
x = 1 - 7y
Substituting this value of x into Equation 1:
8(1 - 7y) + 9y = -36
8 - 56y + 9y = -36
-47y = -44
y = 44/47
Substituting the value of y back into Equation 2 to find x:
x + 7(44/47) = 1
x + 308/47 = 1
x = 1 - 308/47
x = (47 - 308)/47
x = -261/47
Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).
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What is the area of the triangle?
PLSSS help me
Answer:
The area of the triangle is \(A=6 \:units^2\).
Step-by-step explanation:
The area A of a triangle is given by the formula \(A=\frac{1}{2} bh\) where b is the base and h is the height of the triangle.
From the graph, we can see that the base is 3 units and the height is 4 units. Therefore, the area of the triangle is
\(A=\frac{1}{2} \cdot3\cdot 4=\frac{12}{2}=6 \:units^2\)
Pls Help, Max Points
\(\\ \rm\Rrightarrow \dfrac{2}{x+3}-\dfrac{1}{x-3}=\dfrac{-7}{x^2-9}\)
\(\\ \rm\Rrightarrow \dfrac{2(x-3)-1(x+3)}{(x+3)(x-3)}=\dfrac{-7}{x^2-9}\)
\(\\ \rm\Rrightarrow \dfrac{2x-6-x-3}{x^2-9}=\dfrac{-7}{x^2-9}\)
\(\\ \rm\Rrightarrow \dfrac{x-9}{x^2-9}=\dfrac{-7}{x^2-9}\)
\(\\ \rm\Rrightarrow x-9=-7\)
\(\\ \rm\Rrightarrow x=9-7\)
\(\\ \rm\Rrightarrow x=2\)
Answer:
x = 2
Step-by-step explanation:
\(\large \begin{aligned}\dfrac{2}{x+3}-\dfrac{1}{x-3} & = \dfrac{-7}{x^2-9}\\\\\dfrac{2(x-3)}{(x+3)(x-3)}-\dfrac{1(x+3)}{(x+3)(x-3)} & = \dfrac{-7}{(x+3)(x-3)}\\\\\dfrac{2(x-3)-(x+3)}{(x+3)(x-3)} & = \dfrac{-7}{(x+3)(x-3)}\\\\\dfrac{x-9}{(x+3)(x-3)} & = \dfrac{-7}{(x+3)(x-3)}\\\\x-9 & = -7\\\\x&=-7+9\\\\x & = 2\end{aligned}\)