Answer:
x=5
sqrt of 5-4=1
then 1 +x(5)=6
The solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
To solve the equation (√x - 4) + x = 6 algebraically, we can follow these steps:
Start with the given equation: (√x - 4) + x = 6.
Begin by isolating the square root term on one side of the equation. Subtract x from both sides:
(√x - 4) + x - x = 6 - x
√x - 4 = 6 - x
Move the constant term to the right side by adding 4 to both sides:
√x - 4 + 4 = 6 - x + 4
√x = 10 - x
Square both sides of the equation to eliminate the square root:
(√x)² = (10 - x)²
x = (10 - x)²
x = (10 - x)(10 - x)
x = 100 - 10x - 10x + x²
x = 100 - 20x + x²
Rearrange the equation to form a quadratic equation:
x² - 21x + 100 = 0
Solve the quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the quadratic equation:
(x - 4)(x - 25) = 0
Set each factor equal to zero and solve for x:
x - 4 = 0 or x - 25 = 0
Solving for x in each case:
x = 4 or x = 25
Therefore, the solutions to the equation (√x - 4) + x = 6 are x = 4 and x = 25.
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The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answer:
49?
Step-by-step explanation:
i really need help with this im trying to get my grade up
I really need help this is due today
Answer:
p=10n
Step-by-step explanation:
You need to find how many pencils (=) and we dont know how many packs there are (n) but we do know how many there are in each pack (10)
f(x) = x² + 6x+8
What is the vertex
Answer:
(-3,-1)
Step-by-step explanation:
Can someone help me with 12. and 13.
Ey can someone answer my question please cause i've posted it a few times and nothing happen
Answer:
we could migrate here
Step-by-step explanation:
Answer:
I feel like I answered this before
Step-by-step explanation:
HELP ASAP I GIVE 15 POINTS AND BRAINLIEST
Answer:
110%
Step-by-step explanation:
if each square is a whole, then when one is filled, it's 100% . 10% of the other square is filled so you just add the two.
It’s algebra 6x -9=y show work
Answer:
6x - 9 = y
x - (-1.5)
x - (-1.5) = y
Step-by-step explanation:
Members of the drama club plan to present its annual spring musical. They have $1,262.50 left from fundraising, but they estimate that the entire production will cost $1,600.00.
Answer: At least 50 Tickets
Step-by-step explanation:
Since each ticket cost $6.75 each you will have to
$1,600.00-$1,262.50 = $33.75 after that you will have to
$33.75÷$6.75 =$50
I NEED HELP I WILL GIVE BRAINLIEST TO WRITE ANSWER
write an equation of the line in a slope intercept form has a slope of -2 and passes through the point (5, 11)
Answer:
y=-2x + 1
Step-by-step explanation:
y=mx+b (0,1)
11-2=9
9-2=7
7-2=5
5-2=3
3-2=1
what is the value of four and 3
Answer: 7
Step-by-step explanation: 4+3 = 7.
Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers
Answer:
nick's number = 91
eddie's number = 39
Step-by-step explanation:
n = nick's number
[tex]\frac{3}{7}[/tex]n = eddie's number
[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52
[tex]\frac{4}{7}[/tex]n = 52
cross-multiply: 4n = 52(7)
4n = 364
n = 364/4 = 91
eddie's number: [tex]\frac{3}{7}[/tex] · 91 = 273/7 = 39
Nick's number is 91
Eddie's number is 39
What is expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Eddie's number is 3/7 of Nick's number
Let Nick's number be x
Then Eddie's number = 3x/7
Difference of the numbers is 52
x - 3x/7 = 52
(7x - 3x)/7 = 52
4x/7 = 52
4x = 52×7
x = 364/4
x = 91
Another number = 3x/7
= 3(91)/7
= 3 × 13
= 39
Hence, 91 is Nick's number and 39 is Eddie's number.
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f) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?
g) The multiplicative inys
Answer:
First number = 60 and another number = 48
Step-by-step explanation:
Let two numbers are 5x and 4x.
The two number are differ by 12. We need to find the numbers.
ATQ,
5x-4x = 12
x = 12
Now first number = 5x
= 5(12)
= 60
Other number = 4x
= 4(12)
= 48
Hence, the numbers are 60 and 48.
????????????????????
Answer:
180 - y
Step-by-step explanation:
The exterior angle is equal to 180 minus the interior angle.
Answer:
The total angle a triangle have is 180
so now subtract it by 50
180-50 = 130
and the other angle we get is by subtracting 180-92 which is 88
y=88 degree
now x=180-(88+50)
=42
so x=42
FIRST TO ANSWER GETS BRAINLIEST
A figure is composed of four squares of the same size and four triangles of the same size. Each square has a side length of 5.9 cm, as shown 5.9 cm 5.9 cm Which of these is closest to the area, in square centimeters, of the figure? a. 71 b. 94 С. 209 d. 278
Answer:
c
Step-by-step explanation:
Help plz. Correct answer will be brainiest!!!
Answer:
a_n = 39(1.06)^(n - 1)
Step-by-step explanation:
We are told that a_n is the number of raccoons in a given n number of years.
After 6 years, there are 52 raccoons.
Also after 8 years there are 58 raccoons.
Using formula for geometric sequence, we have;
a_n = ar^(n - 1)
After 6 years, there are 52 raccoons
Thus;
a_6 = 52 = ar^(6 - 1)
ar^(5) = 52 - - - (eq 1)
Also after 8 years there are 58 raccoons. Thus;
a_8 = 58 = ar^(8 - 1)
ar^(7) = 58 - - - (eq 2)
Divide eq 1 by eq 2 to get;
(r^(7))/(r^(5)) = 58/52
r² = 58/52
r = √(58/52)
r ≈ 1.06
Put 1.06 for r in eq 1 to get;
a(1.06)^(5) = 52
1.3382a = 52
a = 52/1.3382
a ≈ 39
Thus,the explicit rule is;
a_n = 39(1.06)^(n - 1)
need help pls, i will give brainliest
Answer:
It is the y intercept
Step-by-step explanation:
Solve for s.
s/3 - 4 = -2
Answer:I’m pretty sure it’s 6 correct me if I’m wrong
Step-by-step explanation:
!Plsss help mee!! I will give u BRAINLYEST!!
What radius length would
make a circle with an
area of 78.5 in.2?
A. R=3 in
B. R=5in
C. R=10in
D. R=25in
Answer:
r≈5
the answer is b
Can someone help me please ?
9514 1404 393
Answer:
a) 720°
b) 98
Step-by-step explanation:
a) The sum of interior angles of an n-gon is (n-2)×180°. For n=6, the sum is ...
(6 -2)×180° = 4×180° = 720°
__
b) The sum of the marked angles is 622°, so the value of x is ...
x = 720 -622
x = 98
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
What is the perimeter of a square with a dimensions of (3x^2 +1)
Please help I need it ASAP.
Answer:
12x^2+4
Step-by-step explanation:
4(3x^2+1)
Given: 8(x-1)=5x-35; Prove: x=-9
Answer:
-9
Step-by-step explanation:
8(x - 1) = 5x - 35
8x - 8 = 5x - 35
8x - 5x = 8 - 35
3x = -27
x = -27/3
x = - 9
Which of the following is a true statement
10. GradPoint
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
B. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.
C. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
D. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.
Answer:
The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
Step-by-step explanation:
You can test this by using the Pythagorean theorem, which states a^2+b^2=c^2
with 7,40 and 41
7^2+40^2 does not equal to 41^2
but with 12,16, and 20
12^2+16^2=20^2
therefore, the last statement is correct.
Create your own "magic trick" that will always result in
5.
Write out the steps for the magic trick in the table. You
can add more rows as needed.
Explain why the result of your trick will always be 5.
Step 1:
Step 2:
Please help.
Algebra.
what do you need help with?
Where is the question?
Please make sure to input complete.
Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?
Answer:
He needs 4 packs.
Step-by-step explanation:
6*4=24 So we would need 4 packs, which gives him 24 but at least we have 23 cups.