Answer:
option no.C 6
Step-by-step explanation:
3x+6=24
3x=24–6
3x=18
x=18/3
x=6
A car manufacturer advertises that its new sports car has a turning radius of only 16 feet. The front tires are 4.5 feet apart. The path of the inside and outside tires is shown in the diagram. Compare the distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle.
Answer:
Solution given:
radius of small circle[r]=16-4.5ft=11.5ft
radius of large circle[R]=16ft
nowcircumference of small circle=2πr=2*3.14*11.5=72.22ft
circumference of large circle=2πR=2*3.14*16=100.48ft
distance that the outside tires must travel to the distance the inside tires must travel in order to make a complete circle
=[tex]\frac{100.48}{72.22}=\frac{32}{23}[/tex]
ratio is 32:23.
Someone pls help me I don’t understand it at all
Answer:
D. 4 root 113
Step-by-step explanation:
we have to use Pythagorean Theorem which is
a^2 + b^2 = c^2
where a and b are legs of the triangle that are 45° apart and c is the hypotenuse.
now we just plug in our values.
a^2 + (9)^2 = (47)^2
a^2 + 81 = 2209
now we're gonna solve for A (the missing side)
a^2 = 2128
now we square root both sides to undo the square on A
root(a^2) = root(2128)
because 2128 isn't a pretty root, we have to simplify it
a = 4 root(133)
y=-9x^2+571x-3884 find x
Answer:
I'm pretty sure it's either 3.1 or 4.1
Step-by-step explanation:
Answer:
x = (571 ± √186217) / 18
x ≈ 7.74840677368558702303.. or 55.69603767075885742140..
x ≈ 7.75 or 55.70
Step-by-step explanation:
y = -9x² + 571x – 3884.
x = (-b ± √b² – 4ac) / 2a
x =
(-(571) ± √((571)² – 4((-9) × (-3884))) / 2(-9)) →
(-571 ± √(326041 – 4(34956))) / -18) →
(-571 ± √(326041 – 139824)) / -18) →
(-571 ± √(186217)) / -18 →
(571 ± √186217) / 18 →
What is the height of the tree in the figure to the nearest tenth of a foot?
h
40°
75 ft
Which choices are equivalent to the fraction below? Check all that apply.
39
A. O
O B. 31
C. 318
✓ D. 1
O E. 30
Answer:
I believe it'll be A and E.
hope this helps!
Answer:
D and E
Step-by-step explanation:
Using the rules of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , [tex]a^{0}[/tex] = 1
Then
[tex]\frac{3^{9} }{3^{9} }[/tex]
= [tex]3^{(9-9)}[/tex]
= [tex]3^{0}[/tex] → E
= 1 → D
In a survey of 554 U.S. adults, it is found that 360 favor a ban on stem cell research. Set up the null and the alternative hypotheses to test whether there is sufficient evidence that over 61% favor a ban on stem cell research. If alpha is set to 3.0%, should the null hypothesis be rejected
Answer:
The null hypothesis will be rejected
Step-by-step explanation:
The null hypothesis is that people who favour ban on stem cell research is less than or equal to 0.61
The alternate hypothesis is that people who favour ban on stem cell research is greater than 0.61
Proportion of population = 0.61
Total events = 360
Sample size = 554
Sample proportion = 360/554 = 0.649
As per test statistics –
Z = (p-p0)/sqrt {(p0 (1-p0))/n} = (0.649 -0.61)/ {(0.61 (1-0.61))/554}
= 0.039/0.021
= 1.857
P (Z<1.857) = 1- P (Z<1.857) = 1-0.9664 = 0.0336
So alpha value is 0.064.
Thus, we will reject the null hypothesis
The Ballantyne area has 200 people over the age of eighty-five living in it of these people, 56 of them have a dog, 24 of them have a cat, and 16 of them have both of a person
is chosen at random, find the probability that they have a cat, if it is known they have a dog.
a. 1/2
b.3/7
c.2/7
d.2/25
hi pls help me lovelies
Answer:
53.8%
Step-by-step explanation:
Answer:
u already got ur awnser so hi
Step-by-step explanation:
ui
If a circle is equally divided into 10 angles, what is the measure of each angle
Answer:
36°
Step-by-step explanation:
circle has 360°, divide that by 10 to get 36
Find the value of x and the value of y
Answer:
look at the picture i have sent
please help i will mark brainlist
Answer: 4
Step-by-step explanation: 16/4 =4 brainlyest plz plz I need it for my rank
Select all numbers that are solutions to the inequality k > 5 a 4
b 5
c 6
d 5.01
e 5.2
f 0.5
Answer: C D E
Step-by-step explanation:
Find sin 0 a.8/15 b.8/17 c.15/8 d.15/17
Answer:
d.
Step-by-step explanation:
tan Ф = opp. / adj. = 15/8
hyp = √(8²+15²) = √289 = 17
sin Ф = opp./ hyp = 15/ 17
Anyone know how to do this?
Answer:
1) [tex]2^{\frac{5}{3} }[/tex] = [tex]2^{\frac{5}{3} (3) }[/tex] = [tex]2^{5}[/tex]
2) [tex]2^{\frac{5}{3} }[/tex] = [tex]\sqrt[3]{2^{5} }[/tex] = [tex]\sqrt[3]{32 }[/tex]
3) [tex]2^{\frac{5}{3} }[/tex] = 3.17...
1^2 = 1
2^2 = 4
[tex]2^{\frac{5}{3} }[/tex] is between 1 and 2 to the power of 2
help me plz god bless
Answer:
d.
Step-by-step explanation:
The gradient is -5 meaning that it's going downwards as x increases
The y-intercept is 3
Feel free to mark as brainliest :D
Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
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What is the volume??????
Answer:
[tex]36\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The area of a prism is given by the product of the base and the height. In this triangular prism, the area of the either base is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=6\:\mathrm{in^2}[/tex]
The height is marked as [tex]6[/tex] inches. Thus, the volume of the prism is:
[tex]\frac{1}{2}\cdot 3\cdot 4\cdot 6=\boxed{36\:\mathrm{in^3}}[/tex]
HELP!!!GIRLY NEEDS A MATHMATICIAN TO HELP ME pls
Step-by-step explanation:
its the same ratio 4/7
cos(theta) = adjacent /hypotenuse
evaluate the expression when a =3 and y=2.
y-5a
Answer:
y-5a2-5×32-15-13hope it helps
stay safe healthy and happy.Answer:
Step-by-step explanation:
1. replace variables with the integers they represent. 2-5(3)
2. multiply 5 * 3 = 15
3. Subtract 2-15
Answer - 13
Which of the following is most likely the next step in the series
Answer:
A
Step-by-step explanation:
The pattern is blue red blue red
+
The pattern is vertical horizontal vertical horizontal
Answer:
A.
The second figure adds another red horizontal line to the first. The third adds a vertical blue line to the second. The fourth must add a red horizontal line to the third.
A painter is going to apply a special coating to a triangular metal plate on a new building. Two sides
measure 14.9 cm and 14.7 cm. She knows that the angle between the two sides is 124°. What is the
area of the surface she plans to cover with the coating?
Answer:
[tex]Area = 90.03cm^2[/tex]
Step-by-step explanation:
Given
[tex]s_1 = 14.9[/tex]
[tex]s_2 = 14.7[/tex]
[tex]\theta = 124[/tex] --- angle in between
Required
The area of the plate
Since [tex]\theta = 124[/tex] is between [tex]s_1[/tex] and [tex]s_2[/tex]
The area is:
[tex]Area = \frac{1}{2} * s_1 * s_2 * \sin(\theta)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * \sin(124.7)[/tex]
[tex]Area = \frac{1}{2} * 14.9 * 14.7 * 0.8221[/tex]
[tex]Area = 90.03cm^2[/tex]
Here are some clues about my age. • Both my father’s age and mine are 2-digit numbers. • If you reverse the order of the digits of my father’s age, you get my age. • My father is 27 years older than I am. How old am I? Show your work and justify your thinking.
For the given condition the age of the son will be 69 years.
What is the equation?A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.
Suppose the two-digit number is x,
The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,
(10x+y) -(10y+x)=27
9x-9y=27
x-y=27/9
x-y=3
The value of x and y will be 4 and 1.
At x=9 and y=6, the age of the son is obtained as,
=10×6+9
=69 years
Thus, the age of the son will be 69 years.
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5/7 ÷ 2/3=?
Is it A?
Is it B?
Is it C?
Or is it D?
Answer:
[tex]C.[/tex] 5/7 × 2/3
Step-by-step explanation:
In an examination the following scores were a chief by a group of students:
draw a cumulative frequency graph of the data and use it to find:
a) The median examination mark.
b) How many students score less than 65 marks
c) How many students scored between 50 and 80 marks
d) How many students failed, given that the pass mark is 50
e) The credit mark, mark given that the top 25% of students were awarded credits
f) The interquartile range.
The median of cumulative frequency is 67.86 and the interquartile range is 32.86.
What is median?
The mean is "the middle number is sorter, ascending or descending, list of numbers and can be more descriptive of that data set than the average".
What is interquartile range?
The interquartile range is "measure of where the 'middle fifty' is in data set".
According to the question,
Score Mid value Frequency Cumulative frequency
10 ≤ x < 20 15 1 1
20≤x < 30 25 3 4
30≤x < 40 35 6 10
40≤x < 50 45 15 25
50≤x < 60 55 14 39
60≤x < 70 65 28 67
70≤x < 80 75 18 85
80≤x < 90 85 11 96
90≤x < 100 95 4 100
Uniform interval is 10.
a) The median of examination mark
Frequency = 1+3+6+15+14+28+18+11+4 = 100
Median = [tex]l+\frac{(\frac{N}{2} - m )}{f}[/tex] × c where l = lower limit of the median class, N = total frequency, m = cumulative frequency of the pre median class,
f = frequency of the median class, c = uniform class interval.
= 50 + [tex]\frac{\frac{100}{2} - 25 }{14}[/tex] × 10
= 50 + [tex]\frac{50 - 25}{14}[/tex] × 10
= 50 +[tex]\frac{25}{14}[/tex] × 10
= 50 + 1.786 × 10
= 50 + 17.86
= 67.86.
Thus, the median of examination mark is 67.86.
b) The number of students score less than 65 marks.
In order to find the number of students score less than 65 marks sum of all frequency below 65.
= 1 + 3 + 6 + 15 + 14
= 39
Thus, the number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks
In order to find the number of students scored between 50 and 80 marks only if add frequency between 50 and 80 marks.
= 14 + 28 + 18 + 11
= 71
Thus, the number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50.
In order to find the number of students failed, given that the pass mark is 50 only if add frequency below 50.
= 1 + 3 + 6 + 15
= 25.
Thus, the number of students failed, given that the pass mark is 50 is 25.
f) The interquartile range
Interquartile range = Q₃ - Q₁ [In words, difference between upper quartile range and lower quartile range]
Q₁ = l₁ + [tex]\frac{\frac{N}{4} - m }{f}[/tex] × c where l₁ is the lower limit of the Q₁ class, m₁ is the cumulative frequency of the pre median class, f₁ is the Frequency of the Q₁ class, c is the class interval, N is the total frequency.
[tex]\frac{N}{4}[/tex] = [tex]\frac{100}{4} = 25[/tex]; [tex]\frac{3N}{4}[/tex] = 75
= 40 + [tex]\frac{25 - 25}{6}[/tex] * 10 = 40
Q₁ = 40
Q₃ = l₃ + [tex]\frac{3\frac{N}{4} - m3 }{f3}[/tex] × c
= 60 + [tex]\frac{75 - 39}{28}[/tex] × 10
= 60 + [tex]\frac{36}{28}[/tex] × 10
= 60 + 1.2857 × 10
= 60 + 12.857
= 72.857
Interquartile range = upper quartile range - lower quartile range
= 72.857 - 40
= 32.8571 ≈ 32.86.
Thus, interquartile range is 32.86.
Hence, a) The median of examination mark is 67.86.
b) The number of students score less than 65 marks is 39.
c) The number of students scored between 50 and 80 marks is 71.
d) The number of students failed, given that the pass mark is 50 below 50 is 25.
f) The interquartile range is 32.86.
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A fair coin is flipped 10 times. What is the probability that the first flip comes up heads or exactly five flips come up heads (or both)
The probability for the given event is P = 0.75
How to get the probability?The probability for flipping both sides of the coin is exactly the same one because we have an even coin.
The probability of getting the first flip heads up is just 0.5, as we can expect.
The probability that exactly 5 flips come heads up is:
P = C(10, 5)*(0.5)^10 = (0.5)^10*(10*9*8*7*6)/(5*4*3*2*1) = 0.25
Then, adding these two, the total probability is:
p = 0.5 + 0.25 = 0.75
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10. A new fish tank has a volume of 10x2 + 30x -40 cubic inches. Assuming V =
LWH, determine the expressions of the length, width and height of the fish tank.
9514 1404 393
Answer:
10, (x+4), (x -1)
Step-by-step explanation:
The given volume expression can be factored as ...
V = 10x² +30x -40
= 10(x² +3x -4)
= 10(x +4)(x -1)
The expressions representing length, width, and height might be ...
10, (x+4), (x -1)
help me please, i don’t understand
Answer:
$9
Step-by-step explanation:
The linear system is going to be:
16m + 13s + 29c = $419
26m + 19s + 45c = $649
6m + 11s + 0c = $96
I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form. I personally used a calculator for this, but it could be done painstakingly by hand.
RREF gives me:
m=5
s=6
c=9
So a chocolate milkshake is $9
20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6
Answer:
(-[tex]\frac{\sqrt{3}}{2}[/tex],-[tex]\frac{1}{2}[/tex])
Step-by-step explanation:
The corresponding point on the unit circle is ( -√3/2 , -1/2).
What is a unit circle?A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.
For the given situation,
The radian measure is θ = 7pi/6
In unit circle, the radian θ = [tex]\frac{7\pi }{6}[/tex] lies in the third quadrant and it's equal degree measure is [tex]210[/tex]°.
The corresponding point for this radian measure is
( [tex]\frac{-\sqrt{3} }{2} ,\frac{-1}{2}[/tex] )
Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).
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Ms. Jimenez surveyed 430 men and 200 women about their vehicles. Of those surveyed, 160 men and 85 women said that they own a white vehicle.
Find P(White)'.
A. 16/43
B. 11/18
C. 23/77
D. 3/7
Answer:
Step-by-step explanation:
what is -0.2 as a fraction
-0.2
'0
-0.2 = - .2 = - 2/10 = - 1/5
so
answer is -1/5
Answer:
-0.2 = -1/5
Step-by-step explanation:
you have to turn the decimal to a fraction.
0.2/1
multiply 0.2/1 by 10/10 which is 2/10
Since the GCF is 2...
You want to divide 2/10 by 2/2
that is 1/5
Now add the negative number sign
BOOM
Now you got yourself -1/5
I hope I helped! :)