please help, thanks if you do
Answer:
(2,7)
Step-by-step explanation:
not sure if this is correct though
help me with this please..!
Answer:
\(y \geq -4\)
Step-by-step explanation:
This is because the lowest the y-coordinate goes to is -4.
What is the sum of all frequencies in a frequency distribution? and why is the sum of all relative frequencies equal to 1?
Answer:
Cumulative Frequency:
The sum of all the frequencies for all classes is equal to the number of elements in the given data and that summation is termed as the cumulative frequency which defines the number of entries of that statistical data.
The sum of relative frequencies is also equal to one, since the sum of all fractional parts must equal the whole.
Step-by-step explanation:
Find the missing measurement using the pathagreham theorem. Show steps
a^2+b^2=c^2
a=15
b=25
15^2=225
25^2=625
225+b^2=625
b^2=400
b=20
Step-by-step explanation:
you can use right angle triangle to do the calculation
Someone please help! I need to find the value of X
Answer:
x+16+13= 90
x+29= 90
-29 -29
x= 61
But you can always check when you plug in the value of x
61+16+13= 90
can anyone answer this?
A picture ie 8 inches 10 inches. you want to shrink the picture so you can have a wallet size pictiure, keeping the same propportiond of width to length. if the width of the wallet picture is 2 inches, what is the length?
A) 2.25 in
B) 2.5 in
C) 2.75 in
D) 3 in
Form a third-degree polynomial function with real coefficients, with leading coefficient 1, such that 6+i and 5 are zeros.
Answer:
A third-degree polynomial can be written as:
f(x) = a*x^3 + b*x^2 + c*x + d
Where the leading coefficient is a, and all the coefficients are real.
If we know that the leading coefficient is 1, then the equation becomes:
f(x) = x^3 + b*x^2 + c*x + d
Now, we also know that:
(6 + i) and 5 are zeros.
This means that:
(6 + i)^3 + b*(6 + i)^2 + c*(6 + i) + d = 0
remember that:
i^2 = - 1
This is equal to:
(6 + i)*(36 + 2*6*i + i^2) + b*(36 + 2*6*i + i^2) + c*(6 + i) + d = 0
(6 + i)*(35 + 12i) + b*(35 + 12i) + c*(6 + i) + d =0
(210 + 35i + 72i - 12) + b*(35 + 12i) + c*(6 + i) + d = 0
198 + 107i + b*(35 + 12i) + c*(6 + i) + d = 0
sparating in real and imaginary part, we get:
(198 + b*35 + c*6 + d) + (107 + b*12 + c)*i = 0
Then each parentheses needs to be zero, this means that:
198 + b*35 + c*6 + d = 0
107 + b*12 + c = 0
Knowing that 5 is another zero, we have:
5^3 + b*5^2 + c*5 + d = 0
125 + b*25 + c*5 + d = 0
Then we have a system of 3 equations and 3 variables:
198 + b*35 + c*6 + d = 0
107 + b*12 + c = 0
125 + b*25 + c*5 + d = 0
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate d in the last one, so we get:
d = -125 - b*25 - c*5
now we can replace this in the first equation to get:
198 + b*35 + c*6 + d = 0
198 + b*35 + c*6 + ( -125 - b*25 - c*5) = 0
70 + b*10 + c = 0
So now we have two equations:
70 + b*10 + c = 0
107 + b*12 + c = 0
Again, now we can isolate the one variable in one of the equations, this time let's isolate c in the first one.
c = -70 - b*10
now we can replace this in the other equation:
107 + b*12 + c = 0
107 + b*12 + (-70 - b*10) = 0
38 + b*2 = 0
now we can solve this for b
b*2 = -38
b = -38/2 = -19
Now, with the equation c = -70 - b*10 we can find the value of c.
c = -70 - b*10 = c = -70 - (-19)*10 = 120
And with the equation d = -125 - b*25 - c*5
we can find the value of d:
d = -125 - b*25 - c*5 = -125 - (-19)*25 - (120)*5 = -250
Then we have:
a = 1
b = -19
c = 120
d = -250
The eqation is:
f(x) = 1*x^3 - 19*x^2 + 120*x - 250
Graph the inequality on the number line. m≥2-3
Answer:
Step-by-step explanation:
m ≥ 2-3
m ≥ -1 (graph this on a number line)
Help me please!!! !!!
To solve this problem, we need to calculate the volume of water in Container A, the volume of Container B, and subtract the volume of water from Container B from the volume of Container A.
The volume of water in Container A can be found using the formula for the volume of a cylinder:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
For Container A, we have:
V(A) = π(6^2)(15)
V(A) = 1,620π
The volume of Container B can be found using the same formula:
V(B) = π(7^2)(8)
V(B) = 1,232π
After pumping the water from Container A into Container B, Container B is completely full, which means its volume is equal to the volume of the water from Container A.
So, the volume of water in Container A is:
V(water) = V(B)
V(water) = 1,232π
To find the volume of the empty space inside Container A, we need to subtract the volume of water in Container A from the total volume of Container A:
V(empty space) = V(A) - V(water)
V(empty space) = 1,620π - 1,232π
V(empty space) = 388π
V(empty space) ≈ 1,219.8 cubic feet
Therefore, the volume of the empty space inside Container A is approximately 1,219.8 cubic feet (rounded to the nearest tenth of a cubic foot).
Hope you understood it...
HELLLLPPPPP!!!! DUE TODAY
lucia and ben have saved $150. lucia saved $2 for every $1 that ben saved. how much money did each person save
Lucia saved the total amount of $100 and Ben saved $50. Lucia saved twice as much as Ben so for every $1 Ben saved, Lucia saved $2.
Lucia and Ben have saved a total of $150. To solve this problem, we need to determine how much each person saved. We know that Lucia saved twice as much as Ben, so for every $1 Ben saved, Lucia saved $2. Since they have saved a total of $150, we can set up a proportion to solve for Ben's amount. $2:$1::$100:$x We can solve for x to find Ben's amount saved. $2x = $100, so x = $50. Therefore, Lucia saved $100 and Ben saved $50. Lucia saved twice as much as Ben so for every $1 Ben saved, Lucia saved $2.
The complete question: Together, Lucia and Ben have saved $150. Lucia saved $2 for every $1 that Ben saved. How much money did each person save?
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Jaydin had 0.75 of a cake left over from his party. Three of his friends shared the cake equally. How much cake did each friend eat.
Answer: .25
Step-by-step explanation:
Answer:
If you asking how much was shared from if the three friends and the .75 it would be .25 each because .75/3 is .25. But if your asking how much did the three friends eat if the .25 is what they split then the answer would be 1/12 or .08333333
Step-by-step explanation:
You are forecasting a stock to pay the following dividends: $2.65,$5.15,$4. The dividends will then begin declining at a rate of 7.0% for the foreseeable future. What is the intrinsic value of this stock if the required return is 14% ? Your Answer: Answer
The intrinsic value of the stock is $47.80.
The intrinsic value of a stock is calculated using the dividend discount model (DDM).
The DDM formula is as follows:
Dividend / (Required Rate of Return - Dividend Growth Rate)
Given the dividend stream of $2.65, $5.15, and $4, we must first calculate the dividend growth rate.
The dividend growth rate is computed using the formula below:
Dividend Growth Rate = (Dividend in year 2 - Dividend in year 1) / Dividend in year 1= ($5.15 - $2.65) / $2.65= 94.34%
We are given that the dividends will begin declining at a rate of 7% for the foreseeable future.
As a result, we must decrease the dividend growth rate from 94.34% to 7%.
Next, we can now solve for the intrinsic value of the stock using the following equation:
Dividend / (Required Rate of Return - Dividend Growth Rate)Initial Dividend = $2.65
Dividend in year 1 = $5.15
Dividend in year 2 = $4
Required rate of return = 14%
Dividend growth rate = 7%
When we plug these values into the formula, we get:
2.65 / (0.14 - 0.07) + 5.15 / (1.14) + 4 / (1.14)²= $47.80
Therefore, the intrinsic value of this stock is $47.80 when the required return is 14%.
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Jamal travels 450 feet in 10 seconds on his bicycle. At this rate, how many feet can he travel in one minute?
Given:
The distance traveled in 10 seconds is 450 feet.
To find the distance traveled in 1 minute:
In 10 seconds, the distance is 450 feet.
In 20 seconds the distance will be,
\(450\times2=900\text{ fe}et\)In 30 seconds the distance will be,
\(450\times3=1350\text{ fe}et\)In 40 seconds the distance will be,
\(450\times4=1800\text{ fe}et\)In 50 seconds the distance will be,
\(450\times5=2250\text{ fe}et\)In 60 seconds the distance will be,
\(450\times6=2700\text{ fe}et\)Hence, the distance traveled in 1 minute is 2700 feet.
So, the table becomes,
Rewrite 6.2555555... as a mixed number
Rewrite 4.3535353535... as a mixed number
Rewrite .222222222... as fraction
Identify this number as natural, whole, integer, rational, irrational, and/or real:
Your answer
Rewrite 1.067676767... as a mixed number
PLEASE HELP I NEED THIS TODAY
Answer:
1 62
Step-by-step explanation:
solve for x (all steps please!)
3x-6
x-2
Given:-
\( \tt \: 3x - 6\)\( \: \)
\( \tt \: x - 2\)\( \: \)
Solution:-
By combining the expression nd setting them equal to 180°
\( \tt \: 3x - 6 + x - 2 = 180\)\( \: \)
\( \tt \: 3x + x - 6 - 2 = 180\)\( \: \)
\( \tt \: 4x - 8 = 180\)\( \: \)
\( \tt \: 4x = 180+ 8\)\( \: \)
\( \tt \: 4x = 188\)\( \: \)
\( \tt \: x = \cancel \frac{188}{4} \)\( \: \)
\( \underline { \boxed{ \tt \color{hotpink}x = 47}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps! :)
Answer:
x = 47
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The angles given are,
→ x - 2
→ 3x - 6
We know that,
→ Sum of angles in a straight line is 180°.
Formula we use,
→ Total sum of angles = 180°
Forming the equation,
→ (x - 2) + (3x - 6) = 180
Then the value of x will be,
→ (x - 2) + (3x - 6) = 180
→ x - 2 + 3x - 6 = 180
→ (x + 3x) + (-2 - 6) = 180
→ (4x) + (-8) = 180
→ 4x - 8 = 180
→ 4x = 180 + 8
→ 4x = 188
→ x = 188 ÷ 4
→ [ x = 47 ]
Hence, the value of x is 47.
the distance from the center of a square to a side is 4 yd. find the perimeter of the square
4th grade math HAHAHAHAHHAAA your too young for brainly ima report you ✋✋✋
Roz bought 3 dozen bagels and a $0.69
orange juice. She paid $7.89. How much
was one bagel
?
Answer:
$2.4
or
$2.40
Hope this helps!-xox
Also please heart or give brainliest!<3
Answer:
$0.20 per bagel
Step-by-step explanation:
subtract .69 from 7.89 to get 7.20. since there are 12 in a dozen, multiply 12 and 3 to get 36. divide 7.20 by 36 and you will get how much each bagel is, which is $0.20. Hope this helps :)
Sam has $15 more dollars than Sarah, Casey has 2 times as much as Sam. The total they have all together is $95, how much money does each person have?
Answers:
Sarah has $12.50Sam has $27.50Casey has $55======================================================
Explanation:
x = amount of money Sarah has
x+15 = amount of money Sam has, since he has $15 more than her
2(x+15) = amount of money Casey has, since he has twice as much as Sam.
Let's add up those three expressions and set that sum equal to 95
Solve for x.
Sarah + Sam + Casey = 95
x+(x+15) + 2(x+15) = 95
x + x + 15 + 2x + 30 = 95
4x+45 = 95
4x = 95-45
4x = 50
x = 50/4
x = 12.50
This says that Sarah has $12.50
That must mean Sam has x+15 = 12.50+15 = 27.50 dollars
And Casey must have 2*27.50 = 55 dollars.
----------------
As a check,
Sarah+Sam+Casey = 12.50+27.50+55 = 95
So the answer is confirmed.
Answer:
Step-by-step explanation:
Let Sarah have x dollars.
Then Sam has x + 15
Casey had 2(x + 15)
x + x + 15 + 2(x + 15) = 95 Remove the brackets.
2x + 15 + 2x + 30 = 95 Collect like terms
4x + 45 = 95 Subtract 45 from both sides.
4x = 95 - 45
4x = 50 Divide by 4
x = 50/4
x = 12.5
Sarah has 12.50
Sam has 16.67 + 16 = 27.50
Casey has 55.00
Total 95
IM SO CONFUSED! HELP AND EXPLAINNNNNN
Answer:
326.56 sq in
Step-by-step explanation:
SA=2*3.14*4^2+2*3.14*4*9
SA= 100.48+ 226.08
SA= 326.56
Plug numbers in equation and then solve equation. R=4 and h=9.
Factor completely 18x2 − 21x −15. 3(2x + 1)(3x − 5) 3(2x − 5)(3x + 1) 3(2x − 1)(3x + 5) 3(6x + 1)(x − 5)
Answer:
3(2x + 1)(3x - 5)
Step-by-step explanation:
Given
18x² - 21x - 15 ← factor out 3 from each term
= 3(6x² - 7x - 5 ) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 6 × - 5 = - 30 and sum = - 7
The factors are + 3 and - 10
Use these factors to split the x- term
6x² + 3x - 10x - 5 ( factor the first/second and third/fourth terms )
3x(2x + 1) - 5(2x + 1) ← factor out (2x + 1) from each term
(2x + 1)(3x - 5)
Then
18x² - 21x - 15 = 3(2x + 1)(3x - 5)
Answer:
A
Step-by-step explanation:
.222222222 as a fraction Please help
Answer:
222222222/1000000000
Step-by-step explanation:
⛅️ + ⛅️+ ⛅️= 30
⛅️ + ❄️+ ❄️= 20
❄️ + + = 13
⛅️+ ❄️ x = ??
Answer:
I GOT YOU!
Step-by-step explanation:
⛅️= 10
❄️= 5
x = 8
So,
10+10+10=30
10+5+5=20
5+8= 13
10+5+8=23
I hope I helped...
only need help with part (e)!! thank you!!
Answer:
shown in the picture
Step-by-step explanation:
shown in the picture
Answer:
a) 9000 L
\(\textsf{b) (i)} \quad \textsf{Tap }P: \quad \dfrac{9000}{x}\:\sf minutes\)
\(\textsf{b) (ii)} \quad \textsf{Tap }Q: \quad \dfrac{9000}{x+5}\:\sf minutes\)
c) Proof below.
\(\textsf{d)} \quad x=\dfrac{-5+5\sqrt{31} }{2}=11.41941...\)
e) 5 hours 23 minutes
Step-by-step explanation:
Part (a)The aquarium can be modeled as a rectangular prism.
Note: 1 m³ = 1000 L
\(\begin{aligned}\textsf{Volume of rectangular prism} & = \sf length \times width \times height\\\\\implies \textsf{Volume of aquarium} & = \sf 3\:m \times 2.5\:m \times 1.2\:m\\& = \sf 9 \:\:m^3\\& = \sf 9000\:L\end{aligned}\)
Part (b)\(\boxed{ \sf Time = \dfrac{Volume}{rate}}\)
\(\textsf{(i)} \quad \textsf{Tap }P: \quad \dfrac{9000}{x}\:\sf minutes\)
\(\textsf{(ii)} \quad \textsf{Tap }Q: \quad \dfrac{9000}{x+5}\:\sf minutes\)
Part (c)4 hours = 4 × 60 minutes = 240 minutes
If it takes 4 hours longer to fill the aquarium with water using tap P as compared to tap Q, then:
\(\begin{aligned}\textsf{Tap }P - 240 & = \textsf{Tap }Q\\\\\implies \dfrac{9000}{x} -240 & = \dfrac{9000}{x+5}\\\\\dfrac{9000 - 240x}{x} & = \dfrac{9000}{x+5}\\\\(9000-240x)(x+5) & =9000x\\\\9000x + 45000 -240x^2-1200x & = 9000x\\\\-240x^2-1200x+45000 & =0\\\\-120(2x^2+10x-375) & =0\\\\2x^2+10x-375 & =0\end{aligned}\)
Part (d)Quadratic Formula
\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)
Therefore:
\(a=2, \quad b=10, \quad c=-375\)
Substitute these values into the formula and solve for x:
\(\implies x=\dfrac{-10 \pm \sqrt{10^2-4(2)(-375)} }{2(2)}\)
\(\implies x=\dfrac{-10 \pm \sqrt{100+3000} }{4}\)
\(\implies x=\dfrac{-10 \pm \sqrt{3100} }{4}\)
\(\implies x=\dfrac{-10 \pm \sqrt{100 \cdot 31} }{4}\)
\(\implies x=\dfrac{-10 \pm \sqrt{100}\sqrt{31} }{4}\)
\(\implies x=\dfrac{-10 \pm 10\sqrt{31} }{4}\)
\(\implies x=\dfrac{-5\pm 5\sqrt{31} }{2}\)
As the rate is positive only,
\(\implies x=\dfrac{-5+5\sqrt{31} }{2}=11.41941...\sf \:litres\:per\:minute\)
Part (e)If the rate that tap P fills the aquarium with water is x litres per min, and the rate the tap Q fills the aquarium with water is (x+5) litres per min, the rate that both taps fill the aquarium is:
\(\begin{aligned}\implies \sf Rate & = x+(x+5)\\& = 2x + 5\\& = 2\left(\dfrac{-5+5\sqrt{31} }{2}\right)+5\\& = -5+5\sqrt{31}+5\\& = 5\sqrt{31}\:\: \sf litres\:per\:min\end{aligned}\)
Therefore, if both taps are turned on together, the time it takes to fill the 9000L aquarium is:
\(\implies \sf Time & = \dfrac{9000}{5\sqrt{31} }\:\: \sf minutes \end{aligned}\)
\(\implies \sf Time & =323.2895436... \:\: \sf minutes \end{aligned}\)
\(\implies \sf Time & =5\:hours\:23.2895436... \:\: \sf minutes \end{aligned}\)
\(\implies \sf Time = 5\: h\: 23\: min\)
Note we really should round up to the nearest minute, even though 23.289... rounded is 23, as if we round down, the aquarium will not quite be filled with water.
so if i get a 60% on a math test and my current grade is an 80%, how much will my grade go down?
The new grade of the student will be 70% and the grade reduced by 10 percent.
PercentageThis is a rate, number, or amount in each hundred. Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.
In the given question, we simply need to add the two percentage together and find the average of the value.
This can be done mathematically as
\(\frac{60+80}{2} = 70\)
The average grade will be 70% and this shows that the grade dropped by
\(80\% - 70\% = 10\%\)
The grade will go down by 10%.
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Express (root 19 - root 7)(root 19 + root 7) in simplest form.
Answer
root 354
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
(√19 -√7)(√19 +√7)
( a +b)( a -b) = a²-b²
(√19)² -(√7)² = 19 -7 = 12
Substitute the original value of x to check that the equation is correct. x = 4 or f(x)= ?
Answer:
f(4)
Step-by-step explanation:
Formulate an equation that would allow you to calculate the percentage of people who filed their taxes during the week of tax day.
The percentage of people who filed their taxes during the week of tax day is 10%
I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.
A percentage is a portion of a sum divided into 100 equal parts.
Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.
Let :
a represents the total number of taxpayers during the week of April 15th.
b represents the total number of taxpayers for that year.
The original equation is reduced to
a/b× 100
As an illustration, 100 individuals submitted their taxes the week of April 15th and
Let's say that year, 1000 persons filed their taxes.
= 100/1000 = 10%
Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.
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Which of the following is not an algebraic equation?
i) 3m + 2 = 6 ii) = 5 iii) 2 X 3 + 8 = 14
iv) m - 6=1
Answer:
iii
Step-by-step explanation:
im like pretty sure the x is for multiplication and not a variable
Find the 49th term.
-15, -10, -5, O, 5, ...
49th term = [?]
1st term + common difference(desired term - 1)
Enter
Answer:
49th term = 225
Step-by-step explanation:
The following sequence: -15, -10, -5, 0, -5... is an example of an arithmetic progression.
An arithmetic progression or AP for short, is a sequence in which the difference between successive terms is constant. This difference is known as the common difference, and can be found by subtracting a term by its preceding term.
The general formula, for the nth term of an arithmetic progression, is thus:
Tn = a + (n - 1)d, where a = first term, and d = common difference.
In the sequence: -15, -10, -5, 0, 5...,
a = -15, and d = -10--15 = 5
T49 = -15 + (49 - 1)5 = 225
∴ 49th term = 225