Answer:
The parenthesis go around the 12 and 6, just like this. (12 - 6)
Answer- 2 + 36 ÷ (12-6)
Y=x^2 – 4x + 5 vertex form please
Answer:
Step-by-step explanation:
What is the value of 1/6 + 1/12 + 2/6
Answer:
7/12
Step-by-step explanation:
1/6 +1/12+2/6
=1×2/6×2 +1/12+2×2/6×2
=2/12+1/12+4/12
final answer is
= 7/12
1/6 + 1/12 + 2/6
= 2/12 + 1/12 + 4/12
= (2 + 1 + 4)/12
= 7/12
How much should you invest at 2.3% simple interest in order to earn $90 interest in 18 months?
Answer:
$2608.70
Step-by-step explanation:
I = Prt
t = time in years = 18 months = 1.5 years
r = rate of interest as a decimal = 2.3% = 0.023
I = amount of interest earned
P = amount of principal (amount invested)
90 = P × 0.023 × 1.5
P = 2608.70
Answer: $2608.70
help!! giving brainliest
Mike has 48 coins. 5/8 are dimes. How many dimes are there?
Answer:
30 dimes
Step-by-step explanation:
Multiply the number of coins by the fraction that are dimes to determine the number of dimes
48*5/8 =30
Solve the equation on the interval (0,2pi). Write your answer in exact simplest form.
\(cos6x-5sin3x+2=0\)
9514 1404 393
Answer:
x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}
Step-by-step explanation:
Using the trig identity ...
cos(2x) = 1 -2sin²(x)
we can rewrite the equation as ...
(1 -2sin²(3x)) -5sin(3x) +2 = 0
2sin²(3x) +5sin(3x) -3 = 0 . . . . . standard form
(sin(3x) +3)(2sin(3x) -1) = 0 . . . . factored form
There are no real values of x that will make the first factor zero. The second factor is zero when ...
sin(3x) = 1/2
3x = arcsin(1/2) +2nπ or (2n+1)π -arcsin(1/2)
x = 1/3(π/6 +2nπ) or 1/3((2n +1)π -π/6)
x = (12n+1)π/18 or (12n+5)π/18
x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}
Write two numbers that multiply to the value on top and add to the value on bottom.
-18
7
Answer:
9, -2
Step-by-step explanation:
You want two numbers with a product of -18 and a sum of 7.
FactorsThese are easiest if you list the factor pairs of the product. You want to choose them so their sum has the sign of the required sum.
-18 = (-1)(18) = (-2)(9) = (-3)(6)
Sums of these factor pairs are 17, 7, 3.
The pair of numbers you want is -2 and 9.
<95141404393>
√ 3 x + 4 = √ 3 x + 4 3 x + 4 = 3 x + 4
Answer
Step-by-step explanation: =/
Please help me with this question.
An example of a derivative in accounting is a stock option.
The formula is Call Option Value = S * N(d1) - X * e^(-rT) * N(d2)
What is an example of derivative in accounting?A derivative in accounting is a financial instrument whose value is derived from the value of one or more underlying assets, such as stocks, bonds, currencies, commodities, or real estate. One common example of a derivative in accounting is a stock option.
A stock option is a contract that gives the holder the right, but not the obligation, to buy or sell a specified number of shares of a stock at a specified price (the strike price) within a specified period of time. The value of a stock option is derived from the value of the underlying stock.
One formula used to calculate the value of a call option is the Black-Scholes model. The formula is as follows:
Call Option Value = S * N(d1) - X * e^(-rT) * N(d2)
Where:
S = the current stock price
X = the strike price
r = the risk-free interest rate
T = the time until expiration (in years)
N(d1) and N(d2) are the cumulative distribution functions of the standard normal distribution
For example, if a stock is currently trading at $50 per share, and the strike price of a call option on that stock is $45, with an expiration date of 1 year and the risk-free interest rate is 2%, the value of the call option can be calculated as follows:
Call Option Value = $50 * N(d1) - $45 * e^(-0.02*1) * N(d2)
N(d1) and N(d2) can be calculated using a financial calculator or software.
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Emily volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go.
On Saturday, 416 people went to The Youth Wing, 448 people went to Social Issues, and 341 went to Fiction and Literature. On Sunday, the library had 500 total visitors.
Based on what Emily had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
We may predict that, when rοunded tο the clοsest whοle number, 185 persοns οught tο be present at Sοcial Prοblems οn Sunday.
What in mathematics is a whοle number?Detailed numbers the set οf integers that cοntains zerο and the natural numbers. nοt a decimal and fractiοn. Integer 0 thrοugh 2, 3, 4, 5, 6, 7, 8, 9, 10, and sο οn. a cοunting number, a negative number, οr zerο.
The library saw a sum οf 416 + 448 + 341 = 1205 visitοrs οn Saturday. By dividing the entire number οf visitοrs by the number οf visitοrs whο visited Sοcial Prοblems, and then multiplying the result by 100% tο represent the results as a percentage, we can determine what percentage οf these visitοrs visited Sοcial Issues:
Percentage οf visitοrs whο went tο Sοcial Issues = (448 ÷ 1205) x 100%
Percentage οf visitοrs whο went tο Sοcial Issues ≈ 37.18%
We may assume that a similar percentage οf Saturday's visitοrs will return οn Sunday in οrder tο estimate the number οf persοns whο can be expected tο attend Sοcial Prοblems οn that day. Tο determine hοw many peοple will visit Sοcial Prοblems οn Sunday, we can utilize the prοpοrtiοn mentiοned abοve:
Estimated number οf visitοrs tο Sοcial Issues οn Sunday = (37.18% οf 500 visitοrs)
Estimated number οf visitοrs tο Sοcial Issues οn Sunday ≈ 185
We may calculate that, if we rοund tο the next whοle number, 185 persοns shοuld be anticipated tο attend Sοcial Prοblems οn Sunday.
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For this question “ followed by a number will mean to the power of.
I need the solution for x,y, and z with steps please
(3*5)”4*(2*3)”5*(2*5)”7= 2”x*3”y*5”z
Please and thank you
The solution for x, y, and z is x = 2, y = 2, and z = 2.
To solve the equation (35)"4(23)"5(25)"7 = 2"x3"y*5"z, let's break it down step by step:
Simplify the expressions within the parentheses using the power of operator ("^").
\((35)"4 = 15^4\\(23)"5 = 6^5\\(2\times5)"7 = 10^7\)
Apply the power rule of exponents, which states that \((a^b)^c = a^{(b\times c).\)
\(15^4 \times 6^5 \times 10^7 = (15610)^{(4+5+7)\)
Simplify the expression within the parentheses.
\((15610)^{16 }= 900^{16\)
Express both sides of the equation in terms of prime factors.
\(900 = 2^2 \times 3^2 \times 5^2\)
quate the powers of the prime factors on both sides of the equation.
\(2^2 \times 3^2 \times 5^2 = 2"x \times 3"y \times 5"z\)
From this, we can conclude that x = 2, y = 2, and z = 2.
Therefore, the solution for x, y, and z is x = 2, y = 2, and z = 2.
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There are 80 passengers on a bus. Assuming the avg mass of the passenger is 165kg. if every passenger is also carrying a 22kg bag. what is the percentage increase in mass?
an ice cream cone is filled exactly level with the top of the cone. The cone has a 7-cm diameter and 3-cm depth. Approximate how much ice cream is in the cone?
Approximately 38.48 cm³ of ice cream is in the cone.
To approximate the amount of ice cream in the cone, we can consider the cone as a frustum (a portion of a cone between two parallel planes) and calculate its volume.
The volume of a frustum of a cone can be calculated using the formula:
V = (1/3) * π * h * (r₁² + r₂² + r₁*r₂),
where V is the volume, π is pi (approximately 3.14159), h is the depth of the frustum, r₁ is the radius of the larger circular base, and r₂ is the radius of the smaller circular top.
In this case, the radius of the larger circular base is half the diameter, so r₁ = 7/2 = 3.5 cm. The radius of the smaller circular top is 0 cm since the ice cream fills exactly level with the top of the cone.
Plugging these values into the formula, we get:
V = (1/3) * π * 3 * (3.5² + 0 + 3.5 * 0)
V = (1/3) * π * 3 * (12.25 + 0 + 0)
V ≈ (1/3) * 3.14159 * 3 * 12.25
V ≈ 38.48 cm³
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Geometry question! Please help
The values 6, 4 and 12 are the measures of PR, PQ and RI respectively.
Solving similar trianglesThe given diagram is a triangle and the expression to be used based on the theorem is expressed as:
TP/TQ = PR+3/15
3/5 = PR+3/15
5(PR +3)= 3(15)
5(PR + 3) = 45
PR + 3 = 9
PR = 9 - 3
PR = 6
For the measure of PQ
PQ^2 = 5^2 - 3^2
PQ^2 = 25 - 9
PQ = 4
Determine the measure of RI
3/PQ = TR/RI
3/4 = 9/RI
1/4 = 3/RI
RI = 12
Hence the measure of PR, PQ and RI are 6, 4, and 12 respectively
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Please help what is the slope of the line?
Answer:
-5/4
Step-by-step explanation:
Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:
\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)
Answer: -5/4
Step-by-step explanation:
To find the slope between two points, you can use the formula:
Slope = (y2 - y1)/(x2 - x1)
Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:
slope = (4 - (-1))/(-4 - 0)
slope = (4 + 1)/(-4)
slope = 5/-4
Therefore, the slope between the two points is -5/4.
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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What is an example of "A one-to-one function of P onto Q is an isomorphism of P and Q "?
An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
How to Identify a One-to-One Function?An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.
This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).
Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.
Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.
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wants to tile the surface of a rectangular storage case that is inches long, inches wide, and inches tall. If he uses all green tiles, how many tiles will he need?
The surface area of the rectangular prism is 396 square inches
He will need 504 tlles
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
The number of tiles is 7 * 12 * 6 = 504
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Question
wants to tile the surface of a rectangular storage case that is 7 inches long, 12 inches wide, and 6 inches tall. If he uses all green tiles, how many tiles will he need?
100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!
Answer:
38.9 in²
Step-by-step explanation:
You want the area of the composite figure that is an 8-inch square with a semicircle removed.
Semicircle areaThe missing semicircle has a diameter of 8 in, so a radius of 4 in. The area of that half-circle is ...
A = 1/2πr² = (π/2)(4 in)² = 8π in² ≈ 25.1 in²
Square areaThe area of the square without the semicircle removed is ...
A = s² = (8 in)² = 64 in²
Composite areaAfter removing the semicircle from the square, the remaining area is ...
A = square area - semicircle area
A = 64 in² -25.1 in² = 38.9 in²
The area of the figure is about 38.9 square inches.
<95141404393>
The two solids are similar, and the ratio between the lengths of their edges is
2:9. What is the ratio of their surface areas?
36 2
A. 64:729
B. 4:81
C. 4:18
D. 8:36
Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112
How to calculate the surface area of a prism?A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(lw+wh+lh)
l is the lengthw is the widthh is the heightFor the Red prism
Ar = 2(162 +324 + 648)
Ar = 2268 square units
For the blue prism
Ab = 2(8 + 16 + 32)
Ab = 112 square units
Take the ratio of the surface area
Ratio = 2268 : 112
Hence the ratio of their surface area is 2268 : 112
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Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.
How to calculate the surface area of a prism?
A prism is a solid shape with 6 faces
The formula for calculating the total surface area is expressed as:
TSA = 2(LW+WH+LH)
L is the lengthW is the widthH is the heightFor the Red prism
Ar = 2(648 + 162 + 324)Ar = 1,782 square unitsFor the blue prism
Ab = 2(32 + 8 + 16)Ab = 88 square unitsTake the ratio of the surface area
Ratio = 4:81
Hence the ratio of their surface area is 4:81
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To the nearest tenth, which is the perimeter of ABC. Geometry
Answer:
23.6
Step-by-step explanation:
Finding AC:
Cos 61 = \(\frac{adjacent}{hypotenuse}\)
0.48 × 10 = Adjacent
AC = 4.8
Now, CB:
Cos 29 = \(\frac{adjacent}{hypotenuse}\)
0.87 × 10 = CB
CB = 8.8
The perimeter:
=> 10+4.8+8.8
=> 23.6
Answer:
23.6
Step-by-step explanation:
Fill in the table using this function rule. IM GIVING EXTRA POINTS AND BRAINLIEST!!
Answer:
3 - 10
4 - 7
5 - 4
6 - 1
Help I got 50 points on this question
Answer:
I think A but I not sure
Step-by-step explanation:
Simplyfy:(5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
(5x^4-9x^3+7x-1)+(-8x^4+4x^2-3x+2)-(-4x^3+5x-1)(2x-7)
Distribute the signs and solve the multiplication
5x^4-9x^3+7x-1-8x^4+4x^2-3x+2 - (-8x^4-28x^3+10x^2-35x-2x+7)
5x^4-9x^3+7x-1-8x^4+4x^2-3x+2 +8x^4+28x^3-10x^2+35x+2x-7
Combine like terms
5x^4-8x^4+8x^4-9x^3+28x^3+4x^2-10x^2+7x-3x+35x-2x-1+2-7
5x^4+19x^3-6x^2+23x-9
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it will help with everything better if you go on
Let X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 137.1 ft and a standard deviation of 3.2 ft. A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter. 0.0668 My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.
Answer:
0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.
0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
\(\mu = 137.1, \sigma = 3.2\)
A tree of this type grows in my backyard, and it stands 132.3 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.
This is the pvalue of Z when X = 132.3. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{132.3 - 137.1}{3.2}\)
\(Z = -1.5\)
\(Z = -1.5\) has a pvalue of 0.0668
0.0668 = 6.68% probability that the height of a randomly selected tree is as tall as mine or shorter.
My neighbor also has a tree of this type growing in her backyard, but hers stands 143.5 feet tall. Find the probability that the full height of a randomly selected tree is at least as tall as hers.
This is 1 subtracted by the pvalue of Z when X = 143.5. So
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{143.5 - 137.1}{3.2}\)
\(Z = 2\)
\(Z = 2\) has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that the full height of a randomly selected tree is at least as tall as hers.
Can some one solve this for me?
Options:
A - 24
B -21
C-18
D-6
The length of chord LM is determined as 24 inches.
option A.
What is the length of chord LM?The length of the chord LM is calculated by applying the following formula as shown below;
Based on intersecting chord theorem, when two chord intersect in a circle, the product of two segment of one chord is equal to the product of two segment of the second chord.
First we need to find the value of x;
3x(x) = 12 (9)
3x² = 108
x² = 108/3
x² = 36
x = √ 36
x = 6
The length of chord LM is calculated as follows;
LM = x + 3x
LM = 6 + 3(6)
LM = 24
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put these number least to greatest 4,3,-2,-2.5,-17,2.5,-1,2,-3,-4
Answer:
-17 < -4 < -3 < -2.5 < -2 < -1 < 2 < 2.5 < 3 < 4
Step-by-step explanation:
Answer:
-17, -4, -3, -2.5, -2, -1, 2, 2.5, 3, 4
Step-by-step explanation:
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(help please!) Which is a correct representation of x-2 using algebra tiles?
Answer:
its c
Step-by-step explanation:
The answer is C
Hope this helps
An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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