I THINK X IS 2) : -0.75
Someone explain this to me! Help!
Answer:
D
Step-by-step explanation:
an = 3/4 × an-1
let's see for n = 2
a2 = 3/4 × a1 = 3/4 × 4
n = 3
a3 = 3/4 × a2 = 3/4 × 3/4 × a1 = 3/4 × 3/4 × 4 = 9/16 × 4
so, we see, we multiply 3/4 one time less than n by itself and then by 4.
that makes D the correct answer.
the multiplication by (n - 1) in answer C would add 3/4 n-1 times instead of multiplying it n-1 times.
to apply n-1 multiplications we need to use n-1 as exponent.
Which expression is equivalent to √18+√72?
A. 90
B. 8√2
c. 6√2
D. 9√2
Can you solve two questions for me? Please dont use fancy words!
QUADRILATERALS PROPERTY ONLY
Answer:
6. ∠PVU = 58°
7. y = 74°
Step-by-step explanation:
Question 6Angles on a straight line sum to 180°.
⇒ ∠USP + ∠PSV = 180°
⇒ 148° + ∠PSV = 180°
⇒ 148° + ∠PSV - 148° = 180° - 148°
⇒ ∠PSV = 32°
The interior angle of a rectangle at each vertex is 90°.
⇒ ∠VPS = 90°
Interior angles of a triangle sum to 180°.
⇒ ∠PVS + ∠PSV+ ∠VPS = 180°
⇒ ∠PVS + 32° + 90° = 180°
⇒ ∠PVS + 122° = 180°
⇒ ∠PVS + 122° - 122° = 180° - 122°
⇒ ∠PVS = 58°
From inspection of the given diagram:
⇒ ∠PVU = ∠PVS
⇒ ∠PVU = 58°
Question 7Opposites sides of a rectangle are parallel.
Therefore, GF is parallel to AB:
⇒ ∠CFG = ∠CBA = 32°
Interior angles of a triangle sum to 180°.
⇒ ∠FGC + ∠GCF + ∠CFG = 180°
⇒ y + 74° + 32° = 180°
⇒ y + 106° = 180°
⇒ y + 106° - 106° = 180° - 106°
⇒ y = 74°
Please help me with this problem please. I will give a Brainly and bunch of extra points. Please please help me. I will give a Brainly and a bunch of extra points.
Answer:
see attached
Step-by-step explanation:
You want the truth table for a logical implication that involves other logical expressions with up to three variables.
Truth tableA truth table is conveniently produced using the logical operations available on a spreadsheet. The AND (∧), OR (∨), and NOT (¬) functions are built-in to the spreadsheet. The implication (→) function must use the equivalent:
p → q ≡ ¬p∨q
If p, q, and r are in columns A, B, C, respectively, then the formulas in columns D through G are ...
D: =OR(B2, NOT(C2))E: =AND(A2, D2)F: =AND(NOT(A2), B2)G: =OR(NOT(E2), F2)The formulas are filled to the following rows.
The values of p, q, and r are entered manually. The spreadsheet computes the truth values for the formulas.
The function f(x) = 100 + 0.75(x - 50) can be used to determine the cost in dollars for printing x, t-shirts.
What is the rate of change of the cost in dollars with respect to the number of t-shirts printed?
$0.75
$50
$100
-$50
The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A linear function is in the form:
y = mx + b
Where m is the rate of change and b is the initial value of y.
Given that the cost f(x) in dollars for printing x, t-shirts is given by:
f(x) = 100 + 0.75(x - 50)
f(x) = 0.75x + 62.5
Comparing with linear function, the rate of change is 0.75
The rate of change of the cost in dollars with respect to the number of t-shirts printed is $0.75 per shirt.
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what is 3 minus negative 7
Answer: 10
Step-by-step explanation:
Whenever you have a subtraction symbol next to a negative it automatically becomes positive.
Choose a real number uniformly at random in the interval [2,6] and call it X. Find the CDF of X, FX(x). Find EX.
Every point in the interval [2, 6] has an equal probability of occurring, 1/(6 - 2) = 1/4. So the PDF of X is
[tex]f_X(x) = \begin{cases} \frac14 & \text{if } 2 \le x \le 6 \\ 0 & \text{otherwise} \end{cases}[/tex]
Compute the CDF by integrating the PDF.
• If [tex]x<2[/tex], we have
[tex]\displaystyle \int_{-\infty}^x f_X(t) \, dt = \int_{-\infty}^x 0 \, dt = 0[/tex]
• If [tex]2\le x< 6[/tex], we have
[tex]\displaystyle \int_{-\infty}^x f_X(t) \, dt = \int_{-\infty}^2 f_X(t) \, dt + \int_2^x f_X(t) \, dt \\\\ ~~~~~~~~~~~~~~~~~ = \int_{-\infty}^2 0 \, dt + \int_2^x \frac{dt}4 \\\\ ~~~~~~~~~~~~~~~~~ = 0 + \frac14 \int_2^x \, dt \\\\ ~~~~~~~~~~~~~~~~~ = \frac{x-2}4[/tex]
• If [tex]x\ge6[/tex], we have
[tex]\displaystyle \int_{-\infty}^x f_X(t) \, dt = \int_{-\infty}^2 f_X(t) \, dt + \int_2^6 f_X(t) \, dt + \int_6^x f_X(t) \, dt \\\\ ~~~~~~~~~~~~~~~~~ = \int_{-\infty}^2 0 \, dt + \int_2^6 \frac{dt}4 + \int_6^x 0 \, dt \\\\ ~~~~~~~~~~~~~~~~~ = 0 + 1 + 0 \\\\ ~~~~~~~~~~~~~~~~~ = 1[/tex]
Putting the pieces together, we find the CDF to be
[tex]\boxed{F_X(x) = \begin{cases} 0 & \text{if } x < 2 \\\\ \dfrac{x-2}4 & \text{if } 2\le x < 6 \\\\ 1 & \text{if } x\ge6 \end{cases}}[/tex]
Compute the expectation of X.
[tex]\Bbb E[X] = \displaystyle \int_{-\infty}^\infty x\,f_X(x)\,dx \\\\ ~~~~~~~ = \int_{-\infty}^2 0 \, dx + \int_2^6 \frac x4 \, dx + \int_6^\infty 0 \, dx \\\\ ~~~~~~~ = 0 + \frac{6^2 - 2^2}8 + 0 \\\\ ~~~~~~~ = \boxed{4}[/tex]
Estimate the product. 1 1/6 x 2 1/4
Answer:
[tex]2 \frac{5}{8} [/tex]
Step-by-step explanation:
[tex]1. \: \frac{1 \times 6 + 1}{6} \times 2 \frac{1}{4} \\ 2. \: \frac{6 + 1}{6} \times 2 \frac{1}{4} \\ 3. \: \frac{7}{6} \times 2 \frac{1}{4} \\ 4. \: \frac{7}{6} \times \frac{2 \times 4 + 1}{4} \\ 5. \: \frac{7}{6} \times \frac{8 + 1}{4} \\ 6. \: \frac{7}{6} \times \frac{9}{4} \\ 7. \: \frac{7 \times 9}{6 \times 4} \\ 8. \: \frac{63}{6 \times 4} \\ 9. \: \frac{63}{24} \\ 10. \: \frac{21}{8} \\ 11. \: 2 \frac{5}{8} [/tex]
3 kg of diced lamb costs £45 Elvis buys 2 kg of diced lamb. Work out how much Elvis pays.
Answer:
£30
Step-by-step explanation:
Elvis is paying for 2/3 of 3 kg, so the cost is:
[tex]\frac{2}{3}(45)=30[/tex]
A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can it drink in 8 minutes?
Answer:
12
Step-by-step explanation:
15:10
15/10=1.5g/min
1.5x8=12.
A camel can drink 12L in 8 minutes.
7) Shelby is making cookies. She uses cups of
sugar for every 2 cups of flour. How many cups of
sugar does she need when she uses 3 cups of flour?
Show your work.
Work out the equasion equasion of the line perpendicular to y= 2x + 4 with a y intercept of 3. Could u tell me how to do it aswell
Step-by-step explanation:
the slope is a line is always the factor of x.
and it is the ratio (y coordinate difference / x coordinate difference) when going from one point to another.
y = 2x + 4
has the slope 2. which is 2/1. so, for every increase of x by 1 unit, y increases by 2 units.
and this line has a y-intercept of 4 (the y-value when x = 0).
remember, the slope-intercept form of a line is
y = ax + b
a is the slope, b is the y-intercept.
a perpendicular slope (90°) turns that ratio upside down and flips the sign (because if the original line was going up, the perpendicular line is going down and vice versa).
so, the slope of the perpendicular line is -1/2.
the y-intercept was already given to us, so the desired line equation is
y = -1/2 x + 3
or
y = -x/2 + 3
A dealer sold two oven for rupees 18000 each one one he gain 20% and on other he lost 20% find his loss or gain percent on the whole transaction
Answer:
0%
Step-by-step explanation:
The gain on the first oven = 18000 x 20% = 18000 x 20/100
= 18000 x 0.2 = 3600. Since it is a gain, we have to add this number
So selling price = 18000 + 3600 = 21600
The loss on the second oven is also the same 18000 x 0.2 = 3600. This time, it being a loss, selling price = 18000-3600 Total= 14400
The total before sales price of both ovens C = 18000 + 18000 = 36,000
Total sold price S = 14, 400 + 21,600 = 36000
So net gain/loss = S - C = 36000 - 36000 = 0
So net gain/loss as percent = 0%
which cost $20.00/hour plus a one-time service fee. he used the board for 5.5 hours and paid a total of $93.00.
The one time fee is -$17 and the one-time fee cannot not be applicable to this scenario because it is negative
How to determine the one-time service fee?The given parameters are
Hourly rate, r = 20.00
Number of hours, h = 5.5
Total amount = 93.00
The total amount is calculated as:
Total amount = One time fee + Hourly rate * Number of hours
So, we have
93.00 = One time fee + 20.00 * 5.5
Evaluate the product
So, we have
93.00 = One time fee + 110
Subtract 110 from both sides
So, we have
One time fee = 93.00 - 110
Evaluate the difference
So, we have
One time fee = -17
Hence, the one time fee is -$17
Amount cannot be negative.
This means that the one-time fee cannot not be applicable to this scenario
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50 points help! Which table represents Y as a function of X
(note: there was a misclick and so one is selected )
Table number 4 is showing the value of Y as a function of X.
What are relations and functions?A binary connection in mathematics links elements of one set, referred to as the domain, with elements of another set, referred to as the codomain. A new set of ordered pairs made up of elements from sets X and Y and x in X is known as a binary relation across these sets.
The variable Y as a function of X is represented by table number 4. Because for every value of X there is a different value of Y.
X Y
26 -26
-26 24
28 -28
-28 28
Therefore, table number 4 is showing the value of Y as a function of X.
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Please help me!!
I need to turn in this homework soon
Answer:
Step-by-step explanation:
Discussion
Let's consider an rational number for a moment. If I tell you that the fraction you used was 1/3 and gave you the first couple of numbers as in
1/3 = 0.33333.....
and asked you what the next number is, you should be able to tell me that the number to write down is 3.
Even something like 1/7 is well behaved.
1/7 = 0,142857142857142857 .... and tell you I want the next number, you should be able to see it as 1.
But an irrational number can't be handled that way. If I ask for the next digit after 5 when taking the square root of 2, you would have no idea what I was talking about without the help of a calculator.
Now if you multiply a rational by an irrational, you just get a bigger irrational, but it remains irrational.
The statement is false.
Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees.
The average yearly salary of the final year is 67000 in dollars.
What is average ?
An average is a single number selected to stand in for a collection of numbers; it is frequently the product of the sum of the numbers divided by the total number of the collection. For example, the average of the integers 2, 3, 4, 7, and 9 is 5.
Let x = the average salary of an individual with the bachelor's degree, in dollars.
Then the average salary of an individual with master's degree is (2x - 35000)in dollars.
According to the sum of these salaries is 118000 dollars:
x + (2x-35000) = 118000
by solving we get
x = 153000/3
x = 51000
Hence, The average salary of an individual with the bachelor's degree is 51000 in dollars.
the average salary of an individual with the master's degree (2*51000 - 35000) = 67000 in dollars.
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A set of numbers is shown. Place the numbers from least to greatest.
Answer: -6.25, -2, 3/4, 3, 5, 6, 67/10 would be the soliton
A triangle has a base of 7.2 centimeters and height of 10.24 centimeters. A large triangle has a base of question mark centimeters and a height of 25.6 centimeters.
The diagram represents the process of creating a scale drawing from an original using a scale factor of 0.4. The base of the original drawing must be:
17.6 cm
18 cm
33.5 cm
45 cm
Answer:
18 cmStep-by-step explanation:
A triangle has a base of 7.2 centimeters and height of 10.24 centimeters. A large triangle has a base of question mark centimeters and a height of 25.6 centimeters.
The diagram represents the process of creating a scale drawing from an original using a scale factor of 0.4. The base of the original drawing must be:
17.6 cm
18 cm
33.5 cm
45 cm
--------------------
1st solution (using an equation)
10.24 : 7.2 = 25.6 : x
x = 7.2 * 25.6 : 10.24
x = 18cm
------------------------------------
2nd solution (using the scale factor)
7.2 : 0.4 =
18 cm
Answer: 18cm
Step-by-step explanation:
Integrate the following function:
Answer: a
Step-by-step explanation:
First term
[tex]\int \sqrt{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C[/tex]
Second term
[tex]\int (10x-15)^{10} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C[/tex]
Third term
[tex]\int \frac{1}{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C[/tex]
Adding these results, we get the answer to be a.
Round down to the nearst thousand if it is 30,000
Answer:
30 000
Step-by-step explanation:
30 000 if underlined digit is >= 5 round thousands up 1 ...o/w leave as is
30 000
One-fourth the sum of four consecutive even integers is 11. Find the smallest four integers.
Considering the definition of an equation and the way to solve it, the smallest four integers are 8, 10, 12, 14.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.
The members of an equation are each of the expressions that appear on both sides of the equal sign.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Smallest four integersBeing "x" n any integer, and knowing that:
One-fourth the sum of four consecutive even integers is 11.2n is an even number.A consecutive even number is obtained by adding two units to the previous even number and can be expressed as 2n +2.A quarter is a quarter of an amount and is calculated by dividing by 4.So, the equation in this case is:
(2n + 2n +2 + 2n +4 + 2n + 6)÷ 4= 11
Solving:
(8n +12)÷ 4=11
8n +12= 11× 4
8n +12= 44
8n= 44 -12
8n= 32
n= 32 ÷ 8
n= 4
Then, the smallest four integers can be calculated as:
2n= 2×4= 82n + 2= 2×4 + 2= 102n + 4= 2×4 + 4= 122n + 6= 2×4 + 6= 14Finally, the smallest four integers are 8, 10, 12, 14.
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Given right triangle ABC, what is the value of tan(A)?
5/13
12/13
12/5
13/12
Answer: 13/12 times 12/4 is the answer
) Find the sum to infinity of the sequence 1, 1/4, 1/16, 1/64.
The sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.
We have the sequence:
1, 1 / 4, 1 / 16, 1 / 64.
Initial term = a
a = 1
Common ratio = d
d = 1 / 4
The formula for the sum of the terms to infinity is given by:
S_∞ = a / (1 – r)
S_∞ = ( 1 ) / (1 – 1 / 4)
S_∞ = 1 / ( 3 / 4 )
S_∞ = 4 / 3
Therefore, we get that, the sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.
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I need help on this question and how to solve and get the answer thank you if anyone helps me
Answer:
its 4
Step-by-step explanation:
Simple Math Range and domain help Part 2
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
Domain : All values of x, for which function is defined.
i.e [tex]\boxed{\sf 0\leqslant x\leqslant 12} [/tex]
Range : All possible values of y, that can be obtained by putting value of x in the equation of function
i.e [tex]\boxed{\sf 0\leqslant y\leqslant 900} [/tex]
A linear function, f(x)+2x+3, is transformed to g)x)=2x-5 . What transformation occurred?
Step-by-step explanation:
The function f was shifted 8 units to the right to obtain g.
Find 2.5 percent of ten percent of 1*10^6
Answer:
2500
Step-by-step explanation:
1×10^6/10=10%
=1×10^5 then divide by 10 will give 10
=1×10^4 divide by 4 to get 2.5 of the original 10%
=2.5×10^3
=2500
2x+4y=11 how do you solev thia?
The table shows the balance in dollars of a bank account each month for three months. What is the average balance of the account
The average balance of the account is $1126.37.
An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
Consider the table that shows the balance (in dollars) of a bank account for three months.
Months Account Balance
1 $1285.12
2 $961.36
3 $1132.63
As we are aware, the following formula for the mean or average of any set of data:
Mean, [tex]\overline X=\frac{\sum X}{n}[/tex]
where, ∑X is the sum of all the observations in the data and n is the number of observations in the data
Therefore, the average balance in the account is:
[tex]Average{~}balance=\frac{1285.12+961.36+1132.63}{3}[/tex]
[tex]Average{~}balance=\frac{3379.11}{3}[/tex]
Average balance = $ 1126.37
So, the account's average balance is $1126.37.
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The complete question is mentioned below:
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Table:
Month 1, account balance: $1285.12
Month 2, account balance: $961.36
Month 3, account balance: $1132.63
The average balance of the account is $1126.37
What is an average?Average: An average is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.
Consider the table that shows the balance (in dollars) of a bank account for three months.
Months Account Balance
1 $1285.12
2 $961.36
3 $1132.63
As we are aware, the following formula for the mean or average of any
set of data,
Mean,
where, ∑X is the sum of all the observations in the data and n is the number of observations in the data
Therefore, the average balance in the account is,
Average balance of the account = $ 1126.37
So, the account's average balance is $1126.37
The complete question is mentioned below,
The table shows the balance (in dollars) of a bank account each month for three months.
Table:
Month 1, account balance: $1285.12
Month 2, account balance: $961.36
Month 3, account balance: $1132.63
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