Answer:
70
Step-by-step explanation:
GCF(x,y)*LCM(x,y)=xy
10*280=40n
2800=40n
70=n
n=70
13.222.. - 1.3222.. = ??
Answer:
Answer
Answer in decimal
11.8998
What is the value of the expression below when w= 5 and x =9
The value of the expression 9w + 5x when w= 5 and x =9 is 90
Algebraic expression9w + 5x
When
w = 5 and x = 9
9w + 5x
= 9(5) + 5(9)
= 45 + 45
= 90
Complete question:
What is the value of the expression below when w = 5 and x = 9? 9w + 5x
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Does the expected value of a random variable have to equal one of the possible values of the random variable? explain
No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.
What does the expected value of a random variable mean?
E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.Is the expected value always equal to the mean?
The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.Learn more about expected value of a random variable brainly.com/question/22435257
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The length of a rectangle plus its width is 24 cm. The area is 135 cm. What are the length and width of the rectangle
Answer:
[tex]l = 5.63 \\ [/tex]
hope this helps
Ivan began to prove the law of sines using the diagram and equations below.
Triangle A B C is shown. A perpendicular bisector is drawn from point C to point D on side B A to form a right angle. The length of the perpendicular bisector is h, the length of C B is a, the length of C A is b, and the length of B A is c.
sin(A) = h/b, so b sin(A) = h.
sin(B) = h/a, so a sin(B) = h.
Therefore, b sin(A) = a sin(B).
Which equation is equivalent to the equation
b sin(A) = a sin(B)?
StartFraction a Over sine (uppercase B) EndFraction = StartFraction b Over sine (uppercase A) EndFraction
StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction
StartFraction sine (uppercase A) Over sine (uppercase B) EndFraction = StartFraction b Over a EndFraction
StartFraction sine (uppercase B) Over a EndFraction = StartFraction sine (uppercase A) Over b EndFraction
An equation which is equivalent to the equation bsin(A) = asin(B) is: B. [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
What is the law of sines?The law of sines is also referred to as sine law or sine rule and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.
Mathematically, the law of sines is given by this equation:
[tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex]
In this context, we can infer and logically deduce that an equation which is equivalent to the equation bsin(A) = asin(B) is [tex]\frac{sinA}{a} =\frac{sinB}{b}[/tex].
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Answer: B
Explanation: sin(A)/a=sin(B)/b
Mary performs this calculation. (3.0) (2.0). how many significant figures should her answer have? one two four six
Answer:
2
Step-by-step explanation:
There are only 2 numbers in the final answer (6.0), so you just need 2 significant figures.
Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is . find the approximate ph of each liquid using the formula , where is the hydrogen ion concentration.
The pH value of the apple juice is 3.5, is the correct answer.
The pH value of the ammonia is 8.9, is the correct answer.
The question seems to be incomplete and complete question is shown below
Tests show that the hydrogen ion concentration of a sample of apple juice is 0.0003 and that of ammonia is 1.3 x 10-9. Find the approximate pH of each liquid using the formula pH = -log (H+), where (H+) is the hydrogen ion concentration The pH value of the apple juice is___ The pH value of ammonia is____
1.pH of apple juice
A. 8.11
B. 1.75
C. 3.5
D. 2.1
2. pH of ammonia
A. 1.1
B. 7.0
C. 5.4
D. 8.9
The pH of a solution is defined as the logarithm of the reciprocal of the hydrogen ion concentration [H+] of the given solution.
From the formula;
pH = -log[ H⁺ ]
Given the data in the question.
For the Apple juice
hydrogen ion concentration H⁺ = 0.0003
pH of the apple juice pH = ?
pH = -log[ H⁺ ]
pH = -log[ 0.0003 ]
pH = 3.5
The pH value of the apple juice is 3.5
For the ammonia
hydrogen ion concentration H⁺ = 1.3 × 10⁻⁹
pH of the ammonia pH = ?
pH = -log[ H⁺ ]
pH = -log[ 1.3 × 10⁻⁹]
pH = 8.9
The pH value of the ammonia is 8.9
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What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?
The minimum value of c = 7x + 8y is 42. The minimum value is obtained at point (6, 0).
How to calculate the minimum value?To calculate the minimum value of the given equation w.r.t the given constraints(inequalities), the steps are:
Step 1: Identify the system of inequalities in the given constraints
Step 2: Graph those inequalities
Step 3: Identify the maximum and minimum values of x and y that satisfy the given inequalities
Step 4: Then, with the obtained coordinates solve the given equation to get the minimum value.
Calculation:The given equation is C = 7x + 8y, and the constraints list is
2x + y ≥ 0
x + y ≥ 6
x ≥ 0
y ≥ 0
Graphing these inequalities and shading the region that satisfies the given inequalities.
So, from the graph,
the x-values that satisfy all the given inequalities are [6, ∞]
the y-values that satisfy all the given inequalities are [0, ∞]
So, the required coordinate is (6, 0). By this, we can calculate the minimum value of the given equation C = 7x + 8y
Then,
C = 7(6) + 8(0) = 42 + 0 = 42
Thus, the minimum value of the given equation is 42.
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Disclaimer: The given question is incomplete. Here is the complete question.
Question: What is the minimum value of c = 7x 8y, given the constraints on x and y listed below?
2x + y ≥ 0
x + y ≥ 6
x ≥ 0
y ≥ 0
The three sides of a right triangle have integral lengths which form an arithmetic sequence. How many numbers between 1 and 2020 inclusive can be the side of the hypotenuse
There are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence. This can be obtained by forming the arithmetic sequence, equating by Pythagoras theorem and finding numbers divisible by the integral.
Find the value of hypotenuse?Let the arithmetic sequence be (a - d), a, (a+d)
Using Pythagoras theorem,
(a - d)² + a² = (a+d)²
a² -2ad + d² + a² = a² + 2ad + d²
2a² - 2ad + d² = a² + 2ad + d²
2a² - a² + d² - d² = 2ad + 2ad
a² = 4ad
a = 4d
Thus hypotenuse will be (a + d) = 4d + d = 5d
How many numbers between 1 and 2020 inclusive can be the side of the hypotenuse?Since the value of hypotenuse is 5d, the total numbers divisible by 5 between 1 and 2020 will be the number of possible sides of the hypotenuse.
There are 2020 numbers between 1 and 2020 inclusive
The numbers divisible by 5 = 2020/5 = 404
Hence there are 404 numbers between 1 and 2020 inclusive that can be the side of the hypotenuse given that three sides of the right triangle have integral lengths which form an arithmetic sequence.
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Solve for m.
[tex] \frac{5}{4 - m} = \frac{ - 3}{m + 2}[/tex]
A. [tex] - \frac{11}{3} [/tex]
B. [tex] - 11[/tex]
C. [tex] - \frac{7}{3} [/tex]
D. [tex] - 3[/tex]
Hello,
[tex] \frac{5}{4 - m} = \frac{ - 3}{2 + m} [/tex]
[tex]5(2 + m) = - 3(4 - m)[/tex]
[tex]10 + 5m = - 12 + 3m[/tex]
[tex]5m - 3m = - 12 - 10[/tex]
[tex]2m = - 22[/tex]
[tex]m = \frac{ - 22}{2} [/tex]
[tex]m = - 11[/tex]
→ Answer B
Variable m cannot be equal to any of the values −2,4 as division by zero is undefined. Multiply both sides of the equation by (m − 4)(m + 2), the lowest common denominator of 4−m,m + 2.
−(2 + m) ×5 = (m −4 )( −3 )To find the opposite of 2+m, find the opposite of each term.
(−2 −m) ×5 = ( m−4 )( −3 )Use the distributive property to multiply −2−m by 5.
−10 −5m = ( m−4 )( −3 )Use the distributive property to multiply m−4 by −3.
−10 −5m =−3m + 12Add 3m to both sides.
−10 − 5m + 3m =12Combine −5m and 3m to get −2m.
−10 −2m = 12Add 10 to both sides.
−2m = 12 + 10Add 12 and 10 to get 2.
−2m = 22Divide both sides by −2.
m = 22 / -2Divide 22 by −2 to get −11.
m = −11Therefore, the correct option is "B".
What is the equation of the line described below written in slope-iWhat is the equation of the line described below written in slope-intercept form?
the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0
The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
Equation of a lineA line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
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Answer:
y = - (1/2) x + 1
Decide if the random variable x, is discrete or continious: x represents the temperature in degrees Fahrenheit on July 4th in Juneau, Alaska
Answer:
Continuous
Step-by-step explanation:
Degrees don't always have to be integers. It can be 32.3 degrees, 32.31 degrees, etc.
Which term best describes the figure shown below?? WILL MARK BRAINLIEST!!!
Answer:
Line LM
Step-by-step explanation:
Answer:
A line is a straight path on a plane that extends forever in both directions with no endpoints.
The answer will be lineLM
PLEASE HELP IM STUCK
Step-by-step explanation:
we have
2y = 4x - 9
and we want it to look like
...x + ...y = -9
simple.
the y term is already on the left side. we need to move the x term to the same side.
what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).
2y = 4x - 9 | -4x on both sides
-4x + 2y = -9
and we are finished. that's it.
Answer:
-4x + 2y = -9
Step-by-step explanation:
Pre-Solving InformationWe are given the equation 2y=4x-9, and we want to convert it into standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.
SolvingNotice how in standard form, x and y are on the same side. Currently, x and y are on different sides.
Therefore, we first need to get x and y on the same side.
We can do this by subtracting 4x from both sides.
2y = 4x - 9
-4x -4x
_____________
-4x + 2y = -9
As indicated by the -9 on the left side, we have solved the question, and are now done.
Hence, the answer is -4x + 2y = -9.
Twenty new members are elected to an agency every two years. The agency has 100 members on average overall. How long does a member hold his/her position at the agency
The time that a member hold his/her position at the agency is approximately 0.1 year.
Given that twenty members are elected to an agency every two years and there are 100 members on a average overall.
We have to find the time that a member hold his position at the agency.
To calculate the time we have to use multiplication which means product of two numbers.
In 2 years agency elected 20 members. It shows like under:
2 years=20 members
We require 100 members at one end so we will multiply by 5 both sides.
10 years=100 members
Now take 100 to left side of equal to sign.
10/100=1 member
1 member=1/10
=0.1
Hence a member holds 0.1 year at the agency.
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Using that income equation, after how many years will the income be $300? Round your answer correct UP TO TWO (2) decimal digits.
The number of years based on the equation is 24 years.
How to illustrate the information?The information is incomplete. An overview will be given. Let the income equation be represented as I = 60 + 10x where x represents the years taken.
Therefore i = 60 + 10x
60 + 10x = 300
10x = 300 - 60
10x = 240
x = 240/10
x = 24
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If a = √3-√11 and b = 1 /a, then find a² - b²
If [tex]b=\frac1a[/tex], then by rationalizing the denominator we can rewrite
[tex]b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8[/tex]
Now,
[tex]a^2 - b^2 = (a-b) (a+b)[/tex]
and
[tex]a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8[/tex]
[tex]a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8[/tex]
[tex]\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}[/tex]
What is the range of the function f(x) = 6x – 2 over the interval of 3 < x ≤ 8
The range of f(x) = 6x – 2 is [16,46]
According to the statement
we have given the function f(x) = 6x – 2 and the given interval is 3 < x ≤ 8
we know that to find the range of function we have to fill the values in it and then find the range of this function.
So, range is basically a difference between the lowest and the highest value.
Here the given function is f(x) = 6x – 2
when f(3) then
f(3) = 18-2
f(3) = 16.
and when f(8) then
f(8) = 48-2
f(8) = 46.
after put the values we seen that the range of this function is 16,46.
So, The range of f(x) = 6x – 2 is [16,46]
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Answer is :
16 and 46Step-by-step explanation:
Given function
[tex]\sf f(x) = 6x - 2 [/tex]
We need to the find the range of the function over the interval of 3 < x ≤ 8
When, x is 3
Put x = 3 in the given function,
[tex]\sf f(3) = 6(3) +2 [/tex]
[tex]\sf f(3) = 18 - 2 [/tex]
[tex]\sf f(3) = 16 [/tex]
when, x is 8
Put x in the given function,
[tex]\sf f(8) = 6(8) -2 [/tex]
[tex]\sf f(8) = 48 - 2 [/tex]
[tex]\sf f(8) = 46 [/tex]
Hence range of the function f(x) = 6x – 2 is 16 and 46.
A group of birds are flying, they meet another group of birds. They ask 'hello hundred.' They replied we are not 100. we need half of us plus you to be hundred. How many birds are needed?
Answer:
Step-by-step explanation:
You answer
The document shows a 1040 form. a 1040 tax form. the 1040 form is used to collect state tax. local tax. federal tax. sales tax.
Answer:
Federal tax
Step-by-step explanation:
It is used for tax returns, given out by federal govt
Answer:
C. federal Tax.
Step-by-step explanation:
/ \
/ \
x: -1/2
-6(x-2):
por favor necesito una respuesta
The value of the expression if x = -1/2 is 15
Function and valuesGiven the expression below shown;
f(x) = -6(x - 2)
If the value of x is -1/2, hence;
f(-1/2) = -6(-1/2 - 2)
Simplify
f(-1/2) = -6(-5/2)
f(-1/2) = 6 * 5/2
f(-1/2) = 3 * 5 = 15
Hence the value of the expression if x = -1/2 is 15
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Look at sample problem 23.2. How many unpaired electrons are in (enter a number such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10) 1. Ag 2. Mn3 3. Cr3
To find the unpaired electrons:
Ag+ represents the d10 system. Because there are no unpaired electrons, the system is diamagnetic.Mn3+ has the electronic structure [Ar]3d44s0. In 3d, there are four unpaired electrons.Because of the loss of three electrons, the chromium ion Cr3+ has 24e3e=21e.Therefore, unpaired electrons are:
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Multiple choice ( easy)
What is the length of Xpy in terms of
10 m
Options
900л m
15л m
5л m
307 m
Answer:
XPY = 15π m
Step-by-step explanation:
XPY is 3/4 of the circumference of the circle. The perimeter of a circle is given by 2πr, with r = 10m.
C = 2πr
C = 2π(10)
C = 20π
3/4 of C is (3/4)(20π)
XPY = 15π m
Julian wants to ride his bicycle 20.6 miles this week. He has already ridden 8 miles. If he rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.
Answer:
Step-by-step explanation:
Our equation will be 3x+8=20.6
3x=12.6
x=4.2
!!!!!!Please please please help!!!!!!!!Drag each equation to the correct location on the table. Not all equations will be used.
Determine which equations represent lines that are parallel or perpendicular to the linear equation provided on the graph
v =
y = -2z + 1 y = − 2 + 4
2 + 3y = ½z+8 y = 2z+ 2 y = −2+5
-8
-6 -4 2
Parallel Line
4
2
-2-
4
4
2
6 B
Perpendicular Line
The equation of that is parallel to the graph is y = 1 / 2 x + 3 and the equation perpendicular to the graph is y = -2x + 1
How to know equation that a parallel and perpendicular?Equation that are parallel have the same slope.
Equation that are perpendicular gives negative 1 when multiplied .
Therefore, using slope intercept equation,
y = mx + b
where
m = slopeb = y-interceptHence, the equation of the graph can be calculated as follows:
(0, 6)(2, 7)
m = 7 - 6 / 2 - 0 = 1 / 2
Therefore,
y = 1 / 2 x + 6
Therefore, the equation that are parallel to the graph are as follows:
y = 1 / 2 x + 3The equation that are perpendicular to the graph is as follows;
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Total slack is calculated by ____
Total slack is calculated by the late finish minus early finish and the late start minus the early start
What is the total slack?Total slack is simply the amount of time taken for a task to be delayed before the project finish date is delayed. It can be positive or negative.
It is calculated as the calculated as the value of the Late Finish minus the Early Finish field, and the Late Start minus the Early Start field.
Total slack = Late finish - early finish + late start - early start
Thus, the total slack is calculated by the late finish minus early finish and the late start minus the early start.
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Matt's family traveled 3/8 of the distance to his grandmother’s house on Saturday. They traveled 3/5 of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Answer:
3/8
Step-by-step explanation:
Let's use a sample number of 100 miles
If 3/8 was traveled the first day, then 37.5m were traveled on the first day.
Now on Sunday, there are 62.5m remaining in the trip. They travel 3/5 of that, meaning they went 62.5 * 3/5m. This turns out to be 37.5 miles that were traveled on Sunday.
37.5/100 = 3.8
Can someone help me out on these geometry questions? ASAP!!!
Write formal proofs the LL Theorm.
Question 6
1) [tex]\overline{AB} \cong \overline{BD}[/tex], [tex]\overline{CD} \perp \overline{BD}[/tex], O is the midpoint of [tex]\overline{BD}[/tex], [tex]\overline{AB} \cong \overline{CD}[/tex] (given)
2) [tex]\angle ABO, \angle ODC[/tex] are right angles (perpendicular lines form right angles)
3) [tex]\triangle ABO, \triangle CDO[/tex] are right triangles (a triangle with a right angle is a right triangle)
4) [tex]\overline{BO} \cong \overline{OD}[/tex] (a midpoint splits a segment into two congruent parts)
5) [tex]\triangle ABO \cong \triangle CDO[/tex] (LL)
Question 7
1) [tex]\angle ADC, \angle BDC[/tex] are right angles), [tex]\overline{AD} \cong \overline{BD}[/tex]
2) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)
3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)
4) [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)
5) [tex]\overline{AC} \cong \overline{BC}[/tex] (CPCTC)
Question 8
1) [tex]\overline{CD} \perp \overline{AB}[/tex], point D bisects [tex]\overline{AB}[/tex] (given)
2) [tex]\angle CDA, \angle CDB[/tex] are right angles (perpendicular lines form right angles)
3) [tex]\triangle CDA, \triangle CDB[/tex] are right triangles (a triangle with a right angle is a right triangle)
4) [tex]\overline{AD} \cong \overline{DB}[/tex] (definition of a bisector)
5) [tex]\overline{CD} \cong \overline{CD}[/tex] (reflexive property)
6) [tex]\triangle ADC \cong \triangle BDC[/tex] (LL)
7) [tex]\angle ACD \cong \angle BCD[/tex] (CPCTC)
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is
°C higher than the average daily minimum temperature.
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
What is the difference between the average daily maximum temperature and the average daily minimum temperature?
Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the minimum temperature from the maximum temperature:
x = 21.85 °C - (- 4.7 °C)
x = 26.55 °C
By applying the definition of difference, we find that the average daily maximum temperature in Syracuse is 26.55 °C higher than the average daily minimum temperature.
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Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 90 people in the 18-21 age bracket and finds that 76 of them respond and 14 refuse to respond. When 263 people in the 22-29 age bracket are contacted, 240 respond and 23 refuse to respond. Assume that 1 of the 353 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
The probability of getting someone in the 22-29 age bracket or someone who agreed to respond is 0.96.
What is probability?The rate of possible outcomes to the total outcomes is said to be the probability.
P(E) = n(E)/n(S)
E - event and S -sample space
we have,
P(A or B) = P(A) + P(B) - P(A and B)
Calculation:It is given that,
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys.
The data is listed below:
(Age group) Response - agreed Response - refused Total
18-21 76 14 90
22-29 240 23 263
Total 316 37 353
So, consider the required events
Age group (22-29) as A and someone who agreed to respond as B
Thus, the probabilities are calculated as below:
P(A) = n(A)/n(S) = 263/353
P(B) = n(B)/n(S) = 316/353
P(A and B) = n(A and B)/n(S) = 240/353
Substituting all these in the formula we get,
P(A or B) = P(A) + P(B) - P(A and B)
= 263/353 + 316/353 - 240/353
= 339/353
= 0.96
Therefore, the required probability is 0.96.
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