Answer:
s= 7 inches
Step-by-step explanation:
Let the side length be x
Area of square = side × side OR [tex]side^{2}[/tex] (lets put x in place of side)
[tex]49^{2}[/tex] = x
7 = x
Side length = 7 inches
Answer:
7 inches
Step-by-step explanation:
Area of a square = 49 sq. inches
side *side = 49
side = [tex]\sqrt{49}=\sqrt{7*7} = 7 \ inches[/tex]
Need help with the second part ASAP.
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Answer:
1/x = (1+√5)/2 ≈ 1.618034
Step-by-step explanation:
Since you are only interested in the second part, we presume you have solved the quadratic equation to find ...
x = (√5 -1)/2 ≈ 0.618034
The second part asks for 1/x. The usual method for rationalizing the denominator will be useful for this. Multiply numerator and denominator by the conjugate of the denominator.
[tex]\dfrac{1}{x}=1\div\dfrac{\sqrt{5}-1}{2}=1\times\dfrac{2}{\sqrt{5}-1}\\\\=\dfrac{2(\sqrt{5}+1)}{(\sqrt{5}-1)(\sqrt{5}+1)}=\dfrac{2\sqrt{5}+2}{5-1}=\boxed{\dfrac{\sqrt{5}+1}{2}\approx1.618034}[/tex]
_____
Additional comment
You may notice that 1/x = x+1.
19) The supplement of an angle is 24° more than
the angle. What is the measure of the angle?
1) 7.50 2) 66°
3) 78°
4) 33°
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Answer:
3) 78°
Step-by-step explanation:
Let x represent the angle. Then 180-x is its supplement, and the difference is ...
(180 -x) -x = 24
90 -x = 12 . . . . . . . divide by 2
x = 90 -12 = 78 . . . . degrees
The measure of the angle is 78°.
If 23×23=529 then qhat ks 2.3×0.23
Answer:
0.529
Step-by-step explanation:
1) Use the algorithm method.
2 . 3
+ 0 . 2 3
---------------------------
0 . 0 6 9
0 . 4 6 0
-----------------------------
1
0. 5 2 9
2) Therefore, 2.3 × 0.23 = 0.529.
0.529
how do you divide 2.6 by 2.952
Answer:
how do you divide 2.6 by 2.952
Step-by-step explanation:
find 8th and 10th of G.P whose first term and common ratio are 6 and 2 respectively
Answer:
a₈ = 768 , a₁₀ = 3072
Step-by-step explanation:
The nth term of a GP is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = 2 , then
a₈ = 6 × [tex]2^{7}[/tex] = 6 × 128 = 768
a₁₀ = 6 × [tex]2^{9}[/tex] = 6 × 512 = 3072
What sales tax, at a rate of 6 1/2%, much you pay on the purchase of a computer hard disk drive costing $258.75?
Answer:
275.57
Step-by-step explanation:
258.75 ×6.5=16.817
275.57 +26.82 =275.57
Joy has some pairs of shoes six pairs of them are sneakers what expression shows how many pairs of shoes joy has that are not sneakers
3
Question 2 (1 point)
The frequency of color blindness (dyschromatopsia) in the Caucasian American male
population is estimated to be about 8%. Let's call X the number of color-blind
individuals in a random sample of 8 Caucasian American males. The table gives the
probability distribution for X.
3
What is the mean of this distribution?
0
1
2
3
4
Х
P(X)
טן ס
0.513
0.357
0.109
0.019
0.002
2
Using the mean concept, it is found that the mean of the distribution is of 0.64.
The mean of a probability distribution is given by the sum of each outcome multiplied by it's probability.
In this problem, the probability of each outcome is given by:
[tex]P(X = 0) = 0.513[/tex]
[tex]P(X = 1) = 0.357[/tex]
[tex]P(X = 2) = 0.109[/tex]
[tex]P(X = 3) = 0.019[/tex]
[tex]P(X = 4) = 0.002[/tex]
The, the mean is:
[tex]E(X) = 0.513(0) + 0.357(1) + 0.109(2) + 0.019(3) + 0.002(4) = 0.64[/tex]
The mean of this distribution is 0.64.
A similar problem is given at https://brainly.com/question/24146527
9s4t3w ÷ 36s2t5
simplify as a single fraction
Answer:
[tex] \frac{3}{10w} [/tex]
Step-by-step explanation:
[tex] = \frac{9s4t3w}{36s2t5} [/tex]
simplifying you obtain the answer above
Solve the inequality, write the answer in interval notation.
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Answer:
(-∞, 2-√7) ∪ (2+√7, ∞)
Step-by-step explanation:
The factored form of a polynomial is helpful for solving related inequalities. For quadratics with two real zeros, the sign changes at each zero. If the leading coefficient is positive, the sign is positive to for x-values "outside" either zero, and is negative between the zeros.
Your inequality can be written in standard form as ...
x² -4x -3 > 0
x² -4x +4 -7 > 0
(x -2 -√7)(x -2 +√7) > 0 . . . . . factor the difference of squares (x-2)² -7
The zeros are at x=2-√7 and x=2+√7, so the product of these factors will be positive for x < 2-√7 and x > 2+√7. The solution in interval notation is ...
(-∞, 2-√7) ∪ (2+√7, ∞)
_____
Additional comment
We suspect a typo in the problem statement. If it were to read ... > -3, then the zeros would be at 1 and 3, and the solution would be (-∞, 1)∪(3, ∞).
PLEASE HELP
I WILL MARK BRAINLIEST
A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters
Answer:
C and E
Step-by-step explanation:
The change in elevation was 44 + 20 = 64 m
the rate of fall was 64 m / 32 s = 2 m/s
The anchor reached the surface in 44 / 2 = 22 s so C is valid
E is correct as the ocean surface is origin and Up is the positive direction.
The anchor starts at 44 m above the surface and position is lower by 2 meters every second
From the question, the two correct options about the speed with which the anchor was released are:
Option COption EHow to solve for the solutionFirst we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.
44 + 20 = 64 meters
Next we calculate the rate with which the fall occurred
The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second
44/2 = 22 hence it can be concluded that C is right.
Option E is also correct given that the water surface is above the ground and it is positive
Read more on distance here: https://brainly.com/question/2854969
HELP NOW ILL GIVE BRAINLIEST
Answer:
5x + 2y = - 26
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , m
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
( - 8 , 7 ) , m = - [tex]\frac{5}{2}[/tex]
y - 7 = - [tex]\frac{5}{2}[/tex] ( x - ( - 8 ) )
y + [tex]\frac{5}{2}[/tex] x = 7 - 20
5x + 2y = - 26
Solve the system of equations 4x+3y=3 and y=2x+6.
Answer:
Step-by-step explanation:
4x+3y=3
y=2x+6
4x+3(2x+6)=3
4x+6x+18=3
10x=3-18
10x=-15
x=-15/10=-1.5
y=2(-1.5)+6
y=-3+6
y=3
0.04 with 4 repeating as a fraction. Not the 04 repeating just the 4 is repeating. What is the answer???
Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: [tex](\frac{1}{10} )(\frac{4}{9} )[/tex]. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
Evaluate -30 divided by
-6. (1 point)
G
5
5
C
6
Od
Answer:
5
Step-by-step explanation:
-30÷(-6) is the same as 30÷6
30÷6=5
Answer:
5
Step-by-step explanation:
ignore any negative sign for now.
30÷6
We can divide 30 items evenly into 5 groups of 6.
Now consider the signs. Two negatives make a positive.
−30,−6→Positive
=5
How can you compare decimals such as 0.21, 1.32, 2.1, and 0.021?
Answer:
line up the decimal points first and then compare values, starting with the ones places, then compare the tenths place, then the hundredths, etc.
0.210 - this is 21/100
1.320 - this is 1 32/100
2.100 - this is 2 1/10
0.021 - this is 21/1000
Step-by-step explanation:
smallest is 0.021
0.210
1.32
largest is 2.1
Trong tháng 05, tại cơ sở sản xuất có tài liệu sau. Tính thuế TTĐB mà cs phải nộp trong tháng. 1. Mua 5.000 lít rượu nguyên chất, với giá mua chưa thuế tiêu thụ đặc biệt 20.000đ/lít, thuế suất thuế TTĐB 65% 2. Trong tháng cơ sở sử dụng toàn bộ NL trên và sản xuất 15.000 chai rượu thuốc và đã tiêu thụ hết, với giá bán chưa thuế GTGT 120.000đ/chai, thuế suất TTĐB rượu thuốc 65%.
Answer:
what's this
Step-by-step explanation:
I cannot anderstand
The measure of an exterior angle at C of isosceles triangle ABC is 110 degrees. If AC = BC, fine the measure of each angle of the triangle.
Answer:
110°, 35° and 35°
Step-by-step explanation:
Sum of internal angles of a triangle always is 180°
then,
180° - 110° = 70°
and it's an isosceles triangle, the other two angles are equals to 35° (70° / 2)
The speed of a bus weighing 2000 kg increases from 50 mls to 60 m/s in 4 s. Calculate the change in its momentum and the Force applied on it
Answer:
Momentum = 20 000 kgm/s
Force applied = 5000 N
Step-by-step explanation:
Momentum = Mass * Velocity
= 2000 kg * 10 m/s
= 20 000 kgm/s
Force = Mass * Acceleration
Acceleration = v - u / t
= 60-50/4
= 10/4
= 2.5 m/s^2
F = m*a
= 2000 * 2.5
= 5 000 N
How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?
Answer:
48 ways
Step-by-step explanation:
Let me take a guess
S₁_₁₅ = (1+15)*7 + 8 = 120
There are 48 combinations of distinct digits from 1 to 15 to make 20
120-20=100
So every 20 has a corresponding 100
I wish I got it right, otherwise report it.
please help me i’ll give brainlist to you
-10, -8, -3, 0, 2. Please give Brainliest
Answer:
0,-3,-8,-10,2
Step-by-step explanation:
0,-3,-8,-10,2 PLEASE GIVE MY 5 STARS thank you ❤
plz answer this right what is[tex]−2(12−2(−4))x^{2}[/tex]
Answer:
-40x^2, first multiply -2(-4), this is 8 and sum with 12 and this is 20, finally mutiply by -2
PLEASE HELP!
Charlie ate ¾ cup dry food for breakfast and another ½ cup for dinner. If the food
has a caloric density of 360kcal/cup, how many kcal did Charlie eat in total? Please show work!
Answer: 450 kcal
Step-by-step explanation:
So you know the food is 360 kcal per 1 cup
by setting up a proportion, you can relate the number of kcal to cups.
[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(3/4 +1/2)cup} \\\\[/tex]
we can simplify the fraction to this:
[tex]\frac{360 kcal}{1 cup} = \frac{?kcal}{(5/4)cup} \\\\[/tex]
by cross multiplying you can solve the proportion
(360) * (5/4) = (?) * (1)
simplifying gets this:
450 = ?
so he ate 450 kcal total
If 4 is added to 3 times a number “a” the result is 16. What is the number?
Answer:
4
Step-by-step explanation:
4+3a=16
-4. -4
3a=12
/3. /3
a=4
1. Which answer choice best describes an exponent? (Circle the correct letter.)
A. It is a number with 2 factors.
B. It is a number that is to be multiplied by the base number.
C. It is a number that tells how many equal factors there are.
D. It is a common factor to both numbers involved.
Which one
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Answer:
C. It is a number that tells how many equal factors there are
Step-by-step explanation:
Just as a coefficient tells you how many times a value appears in a sum, an exponent tells you how many times a value appears in a product.
The exponent ...
... is a number that tells how many equal factors there are
Cecilia set a goal to raise $4,800.00 for her favorite charity this year. She has decided to participate in a walk-a-thon to help her reach her goal. She found 30 sponsors and each sponsor has agreed to give her $0.50 for each mile that she walks in the walk-a-thon. If she walks a total of 25 miles, how much money will she still need to raise in order to reach her goal for this year?
A.
$4,675.00
B.
$5,175.00
C.
$4,762.50
D.
$4,425.00
Answer:
4,425$
Step-by-step explanation:
find the amount of Money raised
buy multiplying the amount raised per mile by each sponsor with the number of sponsor and the number of miles walked
[tex](30 \times 0.50) \times 25 = 375[/tex]
to find the remaining, subtract the raised amount from the intended amount.
[tex]4800 - 375 = 4425[/tex]
A sugar solution with a mass of 200 grams has a percent by mass concentration of 25%.
Answer:
1 million brothers i have in my family
Write an equation where the slope is 4/5 and a point of (-3,2)
Answer:
y=4/5x+22/5
Step-by-step explanation:
Using point-slope form!
find the slope of the line passing through each of the following pairs of points. (-6,0),(4,0)
Answer:
slope=0
Step-by-step explanation: