Answer:22.5
Step-by-step explanation: just saying that is no the actual answer you still have to estimate it
The equation n² =45 is solved step by step. The nearest perfect squares, 36 and 49, are identified. Using a calculator, the square root of 45 is found to be approximately 6.708, satisfying the equation.
let's go through the steps to solve n² = 45 in detail:
Step 1: Find the Perfect Squares
The closest perfect squares to 45 are 6² = 36 and
7² = 49.
Since 45 is between 6² and 7², we'll use these values as reference.
Calculate the Square Root
We'll use a calculator to find the square root of 45.
√45 ≈ 6.708203932499369
So, the square root of 45 is approximately 6.708203932499369.
Step 3: Solve for n
Since we're looking for n² = 45, we have √n = 45.
Plugging in the calculated square root:
√n = 45
n ≈ 6.708203932499369
Thus, the approximate value of n that satisfies the equation n² = 45 is n ≈ 6.708.
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Evaluate p+(-q)-2 where p = 3 and Q =5
Answer:
3+(-5)-2
Step-by-step explanation:
Answer:
-10
Step-by-step explanation:
What is the average speed of a cheetah that runs 9 km in 10 minutes? Give your answer in km/hr. (Hint: 10 minutes is 1/6 of an hour.)
Answer:
54kph
Step-by-step explanation:
Which are the solutions of the equation x^4 - 5x^2 - 36 = 0
Answer:
x = ± 3, x = ± 2i
Step-by-step explanation:
Given
[tex]x^{4}[/tex] - 5x² - 36 = 0
Use the substitution u = x² then the equation is
u² - 5u - 36 = 0 ← in standard form
(u - 9)(u + 4) = 0 ← in factored form
Equate each factor to zero and solve for u
u - 9 = 0 ⇒ u = 9
u + 4 = 0 ⇒ u = - 4
This indicates there will be 2 real roots and 2 complex roots
Change back to find values of x, that is
u = 9 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3 ← real roots
u = - 4 ⇒ x² = - 4 ⇒ x = ± [tex]\sqrt{-4}[/tex] = ± 2i ← imaginary roots
Georgia participated in a sleep study in which scientists found that she fell into REM sleep exactly every 45 minutes while she
was asleep. If Georgia was asleep for 6 hours (390 minutes), how many periods of REM sleep did she have?
The number of periods of REM sleep Georgia has in the 6 hours (390 minutes) as stated in the question is 8.667 periods.
Using the standard time conversion, the number of periods is 8 hours.
How do we determine the number of periods Georgia falls into in REM sleep using word problems.To determine the number of periods of REM sleep that Georgia has, we need to divide the total number of minutes of sleep by the interval at which she falls into the REM sleep.
From the given information:
Georgia was asleep for = 390 minutesNumber of intervals she falls into REM = every 45 minutesThe number of periods of REM sleep she has in 390 minutes of sleep is:
= 390 minutes/ 45 minutes
= 8.667 periods.
NOTE: We have only 360 minutes in 6 hours since 60 minutes = 1 hour.
= 360 minutes/ 45 minutes = 8 periods.
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The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?
Answer:
0.06 or 6%
Step-by-step explanation:
Both bags have the numbers 5, 6, 7, 8, 9 and 10. Thus, there are 6 similar number in both bags.
The probability of picking the number 5 in both bags is:
P(5)= 1/10 * 1/10= 1/ 100
It is the same probability of picking the number 6 or 7 or 8 or 9 or 10 in both bags.
P ( 6)= 1/100
P ( 7 ) = 1 /100
P (8)= 1 /100
P ( 9 ) = 1 /100
P ( 10 ) = 1 /100
Consider this right triangle with given measures. A right triangle has a side length of 5 feet and hypotenuse of StartRoot 61 EndRoot feet. What is the length of the missing leg? 6 ft 7 ft StartRoot 51 EndRootft StartRoot 86 EndRootft
Answer:
6ft
Step-by-step explanation:
correct on Edge 2020 :-)
6 feet is the length of the missing leg of the right angles triangle.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
A right triangle has a side length of 5 feet and hypotenuse of √61
We need to find the missing length which is x.
By pythagoras theorem we can find this.
√61²=5²+x²
61=25+x²
Substitute 25 from both sides
61-25=x²
36=x²
x=6
6 feet is the length of the missing leg
Hence, 6 feet is the length of the missing leg of the right angles triangle.
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Which is an equation of an asymptote of the hyperbola?
A) y=-3x+8
B) y=3X+10
C) y=-1/3x
D) y=1/3x+2
Answer:
it is 3x+10
Step-by-step explanation:
The scatter plot below shows the points scored and the points allowed by the bulldogs football teamwork several games . Which association (corrrlation) best describes the data?
Answer: I think it is positive association
Step-by-step explanation:
I am not that sure
Please help me . Find the value of x
Answer:
89
Step-by-step explanation:
1
what is the volume of a cylinder with a radius of 3 and a hight of 6?
Answer:
Around 169.65.
Step-by-step explanation:
The formula is (pi)r^2*h
(pi)3^2*6
(pi)9*6
54(pi)
169.65
The equation of a circle is given below.
(x +1.6)2 + (y +9.8)2 = 26
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units
As per the equation of the circle, the center of the circle is (-1.6, -9.8) units, and its radius is approximately 5.10 units.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) represents the center of the circle, and r is the radius. By comparing the given equation with the standard form, we can easily identify the values of h, k, and r.
Comparing the given equation
=> (x + 1.6)² + (y + 9.8)² = 26
with the standard form, we find that h = -1.6 and k = -9.8.
These values represent the x-coordinate and y-coordinate of the center of the circle, respectively.
To find the radius, we need to take the square root of the constant term on the right side of the equation.
R² = 26
r = √26 ≈ 5.10 (rounded to two decimal places)
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ABC bookstore sells packages of books that include both new and used books. New books cost $18 and used books cost $9. The bookstore wants to sell packages that have 36 books total, and the store charges $432 for each package. How many new and used books will each be in the package?
Answer:12 new, 24 used
Step-by-step explanation: i think this is right, sorry if not.
12 x 18= 216
9 x 24 = 216
216 + 216 = 432
need this done please :)
Answer:
y = 11x
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
= (11-0)/(1-0)
= 11/1
=11
We know the y intercept is 0 ( the y value where x is zero)
We can use the slope intercept form of the equation for a line
y = mx+b where m is the slope and b is the y intercept
y = 11x+0
y = 11x
What is the answer? I’m not sure about this one
Answer: Choice A) 3n^2
A monomial has exactly one term. So the answer is between choices A and C based on this fact alone. We can rule out choice C as this has a coefficient of 2. Choice A has a coefficient of 3 and an exponent of 2 (so its degree 2). This is a quadratic monomial.
FOR EASY BRAINLIEST BRAINLIEST!! Do it With a drawn picture!
Answer:
Step-by-step explanation:
Find all real square roots of 100
Answer:
square root of 100 is 10
Step-by-step explanation:
The real roots of 100 are 10 and -10.
What are roots?The root of a number x is another number, which, when multiplied by itself a given number of times, equals x.
Roots of 100 = [tex]\sqrt{100}[/tex] = ± 10
Hence, The real roots of 100 are 10 and -10.
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Which term in this expression is a constant?
14x − 10 + 6y − x
A) 14x
B) 6y
C) x
D) 10
Answer:
B
Step-by-step explanation:
i jst did it
Can someone answers this please
Answer:
y = - 24
Step-by-step explanation:
[tex]y = (x - 4)(x + 6) \\ plug \: x = 0 \\ y = (0 - 4)(0 + 6) \\ y = ( - 4)(6) \\ y = - 24 \\ \purple{ \bold{ \therefore \: y - intercept = - 24}}[/tex]
Find the sum of the areas of a kite with diagonals of 28 and 32 inches and a rhombus with diagonals of 37 and 63 inches. Round answer to the nearest tenth of a square inch.
Answer:
total area = K + R = 448 + 1,165.5 = $1,613.5 sq. in.
Step-by-step explanation:
Use formulas for area of Kite and area of rhombus.
K = area of Kite
R = area of rhombus
K = (1/2) *(diagonal 1)*(diagonal 2)
R = (1/2)*(diagonal 1)*(diagonal 2)
K = (1/2)*(28 in.)*(32 in.) = 14 * 32 = 448 sq. in.
R = (1/2)*(37 in.)*(63 in.) = 1,165.5 sq. in.
total area = K + R = 448 + 1,165.5 = $1,613.5 sq. in.
help me plz thank you :D
Answer:
Step-by-step explanation:
[tex]-10 + (-\frac{3}{4})=-10-\frac{3}{4}\\\\[/tex]
[tex]=\frac{-10*4}{1*4}-\frac{3}{4}\\\\=\frac{-40}{4}-\frac{3}{4}\\\\=\frac{-40-3}{4}\\\\=\frac{-43}{4}\\\\=-10\frac{3}{4}[/tex]
a penny is dropped from the top of the building and takes 9 seconds to fall to the ground. What is the height of the building D=distance T=Time
The height of the building is 9x.
What is Distance- time formula?Speed is a measure of how quickly an object moves from one place to another. It is equal to the distance traveled divided by the time.
Given:
Time= 9s
Let the speed of penny be 'x'.
We know,
speed = distance / time
distance = speed* time
distance = x *9
distance = 9x.
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Each time you click the "FLIP" button, the
computer will flip four coins at the same time. For
this experiment, "success" is a head.
Flip 1's number of successes:
Flip 2's number of successes:
Flip 3's number of successes:
Flip 4's number of successes:
DONE
Answer:
2
3
0
2
Step-by-step explanation:
Just did intro
Answer:
2
3
0
2
Step-by-step explanation:
just did it on edg
I don’t know how to do the work I just don’t understand
Answer:
1. is -5/7
2. is 6/-9 OR 1/-3 (negative one third)
3. is 2
Step-by-step explanation:
The quadratic equation 4x2 + 45x + 24 = 0 was solved using the Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a.
One solution is −10.69. What is the other solution? Round to the hundredths place.
0.51
10.69
−1.12
−0.56
Answer:
The other solution is -0.56
Step-by-step explanation:
Quadratic equation :[tex]4x^2 + 45x + 24 = 0[/tex]
General quadratic equation : [tex]ax^2+bx+c=0[/tex]
Om comparing :
a=4
b = 45
c=24
Formula : [tex]x =\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute the values in the formula :
[tex]x=\frac{-45 \pm \sqrt{45^2-4(4)(24)}}{2(4)}\\x=\frac{-45 + \sqrt{45^2-4(4)(24)}}{2(4)},\frac{-45 - \sqrt{45^2-4(4)(24)}}{2(4)}\\x=-0.5613,-10.688[/tex]
So, One solution is −10.69.
So, Other solution is −0.56
Hence the other solution is -0.56
The second solution to this equation is −0.56.
Explanation:In the given quadratic equation 4x2 + 45x + 24 = 0, the quadratic formula is used to find the solutions, or roots, of the equation.
This formula is x = [-b ± sqrt(b² - 4ac)] / (2a).
For this specific equation, a is 4, b is 45, and c is 24.
Since it's already given that one root is -10.69, the other root should be obtained by substituting the values into the formula and choosing the alternative sign:
x = [-45 - sqrt(45² - 4*4*24)] / (2*4) this calculation would give −0.56, which is the other solution to the equation.
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. A coin is flipped 100 times and it lands on HEADS 61 times and TAILS 39 times. Find the experimental probability that the coin lands on TAILS. Express all probability as fractions in simplest terms.
Answer:
39%
Step-by-step explanation:
100% = 61% + 39%
Answer:
39/100
Step-by-step explanation:
if the coin lands on tails 39 out of 100 times the probability would be 39 out of 100 and 39 is odd so it cannot go into 100 cause it's even
GIVING BRAINLIEST ..Can somebody help me (explain your answer)
Answer:
13.04 units to the nearest hundredth.
Step-by-step explanation:
Use the Pythagoras theorem:
c^2 = a^2 + b^2 where a, b and c are the sides of a right triangle with c the hypotenuse.
In our triangle ( x = length of the hypotenuse):
x^2 = 13^2 + 1^2
x^2 = 169 + 1 = 170
x = √170
= 13.04.
If we are doing this mentally the best we can do is say that the hypotenuse is a small amount greater than 13.
1. 4 and 4
Find the geometric mean between each pair of numbers
Answer:
2
Step-by-step explanation:
i think bc its on the middle but its ben a min since ive done it
Look at the attached screen shot. The population is 2 while the geometric mean is (Xg):4
which statement is true?
Answer:
A
Step-by-step explanation:
line 1 is perpendicular to line 2 because of 90°.
line 2 is parallel to line 3 because of corresponding angles
Multiply and simplify:
(x + 3)2
A) x2 + 6
B) x2 + 9
C) x2 + 6x + 9
D) x2 + 9x + 6
Answer:
[tex] {x}^{2} + 6x + 9[/tex]
Answer C is correct.Step-by-step explanation:
[tex](x + 3) ^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9[/tex]
The expression [tex](x+3)^2[/tex] on multiplication and simplification becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, expression can be solved by following some basic steps as follows:
Firstly, solve the brackets.
Then perform multiplication and addition.
[tex](x+3)^2=(x+3)(x+3)=x\times (x+3)+ 3\times (x+3)\\(x+3)2=x^2+3x+3x+9\\(x+3)^2=x^2+6x+9[/tex]
So, on multiplication and simplification (x+3)2 becomes [tex]x^2+6x+9[/tex]. So, option c) is correct.
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-q/7>-1
Help plz Step-by-step
Answer:
q < 7
Step-by-step explanation:
Given:
[tex]\frac{-q}{7} > -1[/tex]
Required:
Find the value of q.
First, multiply both sides by 7
[tex]7 * \frac{-q}{7} > -1 * 7[/tex]
-q > -7
Then, multiply both sides by -1
q < 7
Note that the sign of the inequality changed.
When multiplying or dividing an inequality by a number less than 0 (in other words, a negative numbers), the sign of the inequality will change.
Hence, the solution to the expression above is
q < 7