Answer:
X = -2 - 2(square root)3 or x = -2 + 2 (square root )3
Step-by-step explanation:
For the following two numbers, find two factors of the first number such that their product is the first number and their sum is the second number.
36,13
The two factors of the first number 36 which their sum is equal to 13 are 4 and 9.
What is factor of a numberFactor is a number that divides another number without a remainder. That is if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product.
The first number 36 have the following factors:
1, 2, 3, 4, 6, 9, 12, 18, and 36.
the factors 4 and 9 will be the factors in question because;
4 × 9 = 36
4 + 9 = 13
Therefore, 4 and 9 are the two factors of 36 that their product is the first number 36 and their sum is the second number 13.
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(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of Side RT of the polygon?
4 units
6 unts
10 units
15 units
PLEASE HELP!!
Answer:
c) 10 units
The length of side RT of the polygon RT = 10
Step-by-step explanation:
Step(i):-
Given the coordinates of vertices R and T
R( -7 ,3) and T (3 ,3)
we have to find the length of side RT
We will use distance formula
RT = \(\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }\)
Step(ii):-
RT \(= \sqrt{(3-3)^{2} +(3-(-7))^{2} }\)
\(RT = \sqrt{0+(10)^{2} }\)
RT = √100
RT = 10
The length of side RT of the polygon RT = 10
6.0 x 10^4 ÷ 4.0 x 10^8
Scientific notation
The scientific notation for 6.0 x 10^4 ÷ 4.0 x 10^8 is 1.5 × 10^-4.
Whet is scientific notation?It should be noted that scientific notation simply means the power format that is used for expressing numbers that are too large or two small.
Based on the information given, the number illustrated is given as:
6.0 x 10^4 ÷ 4.0 x 10^8
It should be noted that since we are dividing,, we'll have to subtract the powers. This will be illustrated this
= 6.0 x 10^4 ÷ 4.0 x 10^8
= (6.0 / 4.0) × 10^(4 - 8)
= 1.5 × 10^-4
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2sinxcosx/sin^2x+cos^2x-1=1
The simplified equation is sin(2x) = 2
How to determine the value of the trigonometry formula?The trigonometry ratio is given as
2sinxcosx/sin^2x+cos^2x-1= 1
Rewrite the equation of the trigonometry formula properly
So, we have the following equation
2sin(x)cos(x)/sin^2(x)+cos^2(x) -1 = 1
Add 1 to both sides of the equation
So, we have the following equation
2sin(x)cos(x)/sin^2(x)+cos^2(x) = 2
Express 2sin(x)cos(x) as sin(2x)
So, we have the following equation
sin(2x)/sin^2(x)+cos^2(x) = 2
Express sin^2(x)+cos^2(x) as 1
So, we have the following equation
sin(2x)/1 = 2
Multiply both sides by 2
So, we have the following equation
sin(2x) = 2
Hence, the simplified equation of the trigonometry formula is sin(2x) = 2
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If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40
Answer:
$6,160
Step-by-step explanation:
The total amount of dividend received is the product of the number of shares and the dividend per share:
(2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received
Help me pls pls pls
Answer:
F, J, K
Step-by-step explanation:
The other choices are regarded as expressions not equations, in which you can find the value of the the given variable.
A proportion is two fractions that have an equal sign between them. True or False?
Answer:
True
Step-by-step explanation:
That is one way to write a proportion, yes, so I say this is True.
how do you specify the sets by description method a) Mt. Manaslu b)Algebra c) Sagarmatha
B - Algebra
To be honest, this is a weird question
IIf two ounces of cheese has 200 calories, how many calories are in 5 ounces of cheese?
Answer:
500 calories
Step-by-step explanation:
200 / 2 = 100
1 ounce = 100 calories
5 * 100 = calories.
OR
200 * 5 = 1000
1000 / 2 = 500
Therefore, 5 ounces of cheese = 500 calories.
An isosceles triangle has angle measures (x^2+4) and (22x+12). Find all possible values for x rounded to the nearest hundreth.
Step-by-step explanation:
As Isosceles triangel has for sure 2 equal angles
and the sum of angles in any triangle is 180
so you have only thes 2 conditions either :
2(x^2+4)+22x+12=180 or 2(22x+12)+(x^2+4)=180
2x^2+8 +22x+12-180=0 or 44x+24+x^2 +4 - 180=0
2x^2+22x-160=0. or x^2+44x-152=0
x1=5 x2=-16. or x3=3.22 x4=-47.22
Which represents the inverse of the function f(x) = 4x?
h(x) = x+ 4
h(x) = x - 4
h(x) = 3/4x
h(x) = 1/4x
Answer:
h(x)= 1/4x might be the answer
Step-by-step explanation:
Answer:
h(x)=× -4 maybe i dont know
0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?
a.
330,825
b.
643,500
c.
321,750
d.
658,350
Answer: d. 658,350
Step-by-step explanation: A total of 3,300,000 of tax returns are filed.
When filed electronically, 0.05% of all the returns contain errors, which means:
3,300,000 * \(\frac{0.05}{100}\) = 1650
When filed manually, 20% contain error:
3,300,000 * 0.2 = 660000
The difference of the number of tax returns that contain error between manually and electronically filed is
660,000 - 1,650 = 658,350
There will be 658,350 tax returns filed manually more than electronically.
The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Number of manually filed return:Using this formula
Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)
Let plug in the formula
Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)
Number of manually filed returns=660,000-1650
Number of manually filed returns=658,350
Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
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How do I do this ?This is very hard please help
The measure of m<JMO is 20 degrees
The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.
Angle at a pointThe sum of the angle at a point is 360 degrees.Since the base angles of triangle KOL and OLM are equal hence;
m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)Substitute the base angles and the equilateral angles to get angle JOM
80 + 80 + m<JOM + 60 = 360
m<JOM = 360 - 360 - 220
m<JOM = 140 degrees
Sum of angles in a triangleSince the sum of angle in the triangle JOM is 180 degrees, hence;
2m<JMO + m<JOM = 180
2m<JMO = 180 - 140
2m<JMO = 40
m<JMO = 20 degrees
Hence the measure of m<JMO is 20 degrees
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I was wondering if this was correct?
which measurement is more precise: 12.3 meters or 16.52 meters ?
Answer:
16.52
Step-by-step explanation: There are more sig figs
The measurement 16.52 meters is more precise
PrecisionPrecision is how close or dispersed the measurements are to each otherPrecision is the quality, condition, or fact of being exact and accuratePrecision is the quality or state of being precise How to solve this problem?The steps are as follow:.
The measurement is said to be more precise when it has more digit after decimal point.Here, there are given two measurements which are 12.3 meters and 16.52 metersSince there are two digits after decimal points in 16.52 metersThere is only one digit after decimal point in 12.3 meters.There are more digits after decimal point in 16.52 meters so it is more precise than 12.3 meterSo, the measurement 16.52 meters is more precise
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Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
A fair coin is flipped 10 times and lands on heads 8 times. Why is there a difference between the experimental and theoretical probabilities of observing 8 heads in 10 coin flips?
A.
Since the number of heads in the 10 coin flips is 8, the theoretical probability of observing a head in a coin flip increases from 0.5 to 0.8.
B.
Since 10 is a large enough number of trials, there is probably some error in the recording of the coin flip outcomes.
C.
The theoretical probability has no basis in reality, so the new probability of flipping heads is now 0.8.
D.
There should be a larger number of trials. With 500 flips of the coin, the experimental probability will likely approach the theoretical probability of 0.5.
Answer:
its D
Step-by-step explanation:
Beacsue i just think its d the rest
Answer:
its D
Step-by-step explanation:
At the last minute, two families (a total of 11 people) cancel because of illness. Does this effect
which company is the better deal? Why or why not?
The last-minute cancellations of two families (11 people in total) due to illness may affect the decision as to which company offers more favorable terms, depending on the specific circumstances and fee structures of the companies involved.
Why is this scenario so?If the rate is based on per person, canceling 11 people would significantly reduce the total cost for both companies. In this case, one would compare the changed prices of each company to determine which one offers the better deal.
However, with flat-rate pricing regardless of the number of participants, the cancellation of 11 people would not affect costs for either company. In such a scenario, the cancellation will not affect the evaluation of which company presents the better offer.
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2〖sen〗^2 x+3 senx+1=0
2cotxsecx+ 2secx+cotx+1=0
senx〖cos〗^2 x=senx
2〖cos〗^2 x+2senx-12=0
2〖csc〗^2 x+〖cot〗^2 x-3=0
2 sin²(x) + 3 sin(x) + 1 = 0
(2 sin(x) + 1) (sin(x) + 1) = 0
2 sin(x) + 1 = 0 OR sin(x) + 1 = 0
sin(x) = -1/2 OR sin(x) = -1
The first equation gives two solution sets,
x = sin⁻¹(-1/2) + 2nπ = -π/6 + 2nπ
x = π - sin⁻¹(-1/2) + 2nπ = 5π/6 + 2nπ
(where n is any integer), while the second equation gives
x = sin⁻¹(-1) + 2nπ = -π/2 + 2nπ
2 cot(x) sec(x) + 2 sec(x) + cot(x) + 1 = 0
2 sec(x) (cot(x) + 1) + cot(x) + 1 = 0
(2 sec(x) + 1) (cot(x) + 1) = 0
2 sec(x) + 1 = 0 OR cot(x) + 1 = 0
sec(x) = -1/2 OR cot(x) = -1
cos(x) = -2 OR tan(x) = -1
The first equation has no (real) solutions, since -1 ≤ cos(x) ≤ 1 for all (real) x. The second equation gives
x = tan⁻¹(-1) + nπ = -π/4 + nπ
sin(x) cos²(x) = sin(x)
sin(x) cos²(x) - sin(x) = 0
sin(x) (cos²(x) - 1) = 0
sin(x) (-sin²(x)) = 0
sin³(x) = 0
sin(x) = 0
x = sin⁻¹(0) + 2nπ = 2nπ
2 cos²(x) + 2 sin(x) - 12 = 0
2 (1 - sin²(x)) + 2 sin(x) - 12 = 0
-2 sin²(x) + 2 sin(x) - 10 = 0
sin²(x) - sin(x) + 5 = 0
Using the quadratic formula, we get
sin(x) = (1 ± √(1 - 20)) / 2 = (1 ± √(-19)) / 2
but the square root contains a negative number, which means there is no real solution.
2 csc²(x) + cot²(x) - 3 = 0
2 (cot²(x) + 1) + cot²(x) - 3 = 0
3 cot²(x) - 1 = 0
cot²(x) = 1/3
tan²(x) = 3
tan(x) = ± √3
x = tan⁻¹(√3) + nπ OR x = tan⁻¹(-√3) + nπ
x = π/3 + nπ OR x = -π/3 + nπ
What is the slope of the line that passes through the points (1,1) and (4,4)? Write your answer in simplest form.
Answer:
The slope is 1.
Step-by-step explanation:
Slope is (y2-y1)/(x2-x1). Plug in the given points. (4-1)/(4-1) is 3/3. This reduces to 1. The slope of the line is 1.
A regular polygon is a concave polygon that is equilateral and equiangular.
True
False
Consider the function f(x)=x² + 7x. Form an expression for f(a). f(a)=
The value of the expression f(a) is f(a) = a^2 + 7a, based on the given function f(x) = x^2 + 7x and the value x = a
How to form the expression for f(a)?The given parameters in the question are:
f(x) = x^2 + 7x and
x = a as in f(a)
This means that the equation of the function f(x) is given as:
f(x) = x^2 + 7x
To calculate the value of the function f(a), we simply substitute a for x in the equation of the function f(x) = x^2 + 7x.
This means that we set x to a in the equation of the function f(x) = x^2 + 7x.
So, we have;
f(a) = a^2 + 7a
The above equation cannot be further simplified or expanded
So, we conclude that
Based on the given function f(x) = x^2 + 7x and the value x = a, the value of the expression f(a) is f(a) = a^2 + 7a
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Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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a. A CD is discounted by 10%, and then from the already discounted price, a further 15% discount is given. If the price now is $12.93, find the original price.
b. What is the total discount percent as compared to the original price?
Answer:
a. $16.90
b. 23.5%
Step-by-step explanation:
a. After the two discounts, the original price is multiplied by ...
(1 -10%)(1 -15%) = 0.90×0.85 = 0.765
Then the original price is found from ...
$12.93 = 0.765 × original price
original price = $12.93 / 0.765 ≈ $16.90
__
b. The effective discount from the original price is ...
1 -0.765 = 0.235 = 23.5%
Find the tangent of the smaller acute angle in a right triangle with side lengths 5, 12, and 13.
Write your answer as a fraction.
The tangent of the smaller acute angle is ____?_______
The tangent of the smaller acute angle in a right triangle is tanФ = 0.42.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, A right triangle with side lengths 5, 12, and 13.
tanФ = 5/12.
tanФ = 0.42.
Ф = tan⁻¹(0.42).
Ф = 22.8°.
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Determine the radius of a cylinder with the curved area 24cm squared and height 2.0cm
Answer:
the radius of the cylinder is 1.91 cm
Step-by-step explanation:
Given;
curved area of the cylinder, A = 24 cm²
height of the cylinder, h = 2.0 cm
The curved surface area of a cylinder is given as follows;
Curved surface area = 2πrh
where;
r is the radius of the cylinder
24 = 2πrh
r = 24 / (2πh)
r = 24 / (2π x 2)
r = 24 / (4π)
r = 1.91 cm
Therefore, the radius of the cylinder is 1.91 cm
Which triangle is △ABC similar to and why?
Answer:
can we get a picture
Step-by-step explanation:
4. At a certain store, loose-leaf paper comes
only in packages of 400 sheets. If a student
buys enough paper at this store to fill 3
binders with 150 sheets of paper each,
how many sheets will be left over?
A. 17
B. 50
C. 350
D. 450
Jane and johnny are running a race. Jane's speed is 1/4 that of Johnny's.
What is Johnny's speed compared to Jane?
Explain.
25%
50%
150%
400%
The right response is 400%. In other words, Johnny moves at four times the pace of Jane.
We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.
We may compare the speeds as a fraction to figure out the ratio:
Johnny's speed divided by Jane's speed equals 4/1.
This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.
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what is the difference quotient of the function f(x)=3x^3-2x
Answer:plz give brainlist
Step-by-step explanation: