Answer:
B
Step-by-step explanation:
2/6 x d = 388
d = 388 x 6/2 = 1164 m
Answer:
The total distance covered in miles is B, 1164 miles.
Step-by-step explanation:
Since we know that 2/6 of his total trip distance is 388 miles we can do 388 / 2/6 = 1164. Therefore, his total trip distance is 1164 miles.
Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 5?
Answer:
13.8888888889% or 0.1388888888889
Step-by-step explanation:
Place these 5 possible results of 6 over the total number of possible outcomes for rolling 2 fair 6-sided dice to obtain 5/(6×6) or 5/36 equal to 0.1388888888889 or 13.8888888889% Probability
:) :) :) :) :) :) :)
A room is 3m high and has a volume of 60m3 calculate area of floor of the room
[tex]height = 3m[/tex]
[tex]volume = 60 {m}^{3} [/tex]
to find:the area of the room.
solution:[tex]l \times w \times h = 60[/tex]
[tex]l \times w \times 3 = 60[/tex]
[tex]l \times w = 20 {m}^{2} [/tex]
therefore, the area of the room is 20 square meters.
What are the solutions to the quadratic equation 4x2 = 64?
x = −16 and x = 16
x = −8 and x = 8
x = −4 and x = 4
x = −2 and x = 2
Answer:
x = −4 and x = 4
Step-by-step explanation:
if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4
A function g is given as g(x) = ax + bx + c. It is known that g(0) = 1, g(1) = 2 and g(-1) = 4. (a) Find the values of a, b and c.
Please show detailed steps. (Don't just write down the final answers) Tq
Answer:
{2;-1;1}.
Step-by-step explanation:
it is possible to make up the system of three equations:
a) g(0)=1: c=1;
b) g(1)=2: a+b+c=2;
c) g(-1)=4: a-b+c=4;
2) the system has the only solution:
[tex]\left[\begin{array}{ccc}c=1\\a+b+c=2\\a-b+c=4\end{array} \ = > \ \left[\begin{array}{ccc}a= 2\\b=-1\\c=1\end{array}[/tex]
4) finally, a=2; b=-1 and c=1.
If you know the volume of a rectangular prism and the area of the base, how can you find the height?
A boxplot is also known as a/an
A. side plot
B. box and whisker plot
C. stem and leaf plot
D. stemplot
B. box and whisker plot
A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value
If 3 inches equals 4 feet how much does 4 inches equal
Step-by-step explanation:
so, hypothetically,
3 in = 4 ft
4 in = 4 × 1 in = 4 × 3 in / 3 = 4 × 4 / 3 = 16/3 =
= 5.333333333... ft or 5 1/3 ft
The figure shows the dimensions for a birthday gift. Find the minimum amount of wrapping paper, in square inches, needed to cover the gift. Round your answer to the nearest whole inch.
sqauare inches
The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.
What is of total surface area of the rectangular prism?The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.
Total surface area of the rectangular prism is calculated with the following formula.
[tex]A=2(lb+bh+lh)[/tex]
Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.
The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.
The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,
[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]
Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.
Learn more about the total surface area of a rectangular prism here;
https://brainly.com/question/15456870
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what is the missing term in the pattern?2, ?,18,54,162.... a.3 b.6 c.8 or d.9
b.6 because 2 * 3 it will give us six then * it with 3 again it will give you 18
50 points each question. Please help. How do I solve?
[tex]\text{Given that,}\\\\~~~1+ \ln (3xy) = e^{3x-y}\\\\\\\implies \dfrac d{dx} \left[1 + \ln (3xy) \right] = \dfrac{d}{dx} \left(e^{3x-y} \right)\\\\\\\implies \dfrac{1}{3xy} \cdot 3 \dfrac{d}{dx}(xy) = e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\ \\\\\implies \dfrac 1{xy} \left( x \dfrac{dy}{dx} + y \right)= e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\\\\\\implies \dfrac 1y \dfrac{dy}{dx} + \dfrac 1x = 3e^{3x-y}- e^{3x -y} \dfrac{dy}{dx}[/tex]
[tex]\implies \dfrac 1y \dfrac{dy}{dx} + e^{3x-y} \dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \left( \dfrac 1y+ e^{3x-y} \right)\dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \dfrac{dy}{dx}=\dfrac{3 e^{3x-y} -\dfrac 1x}{\dfrac 1y+ e^{3x-y} }\\\\\text{At point}~ (x,y) = (1/3, 1), \text{slope of the tangent line,}\\\\m=\dfrac{dy}{dx} = 0\\\\\text{Hence the equation of tangent line,}\\\\~~~y-1 =0\\\\\implies y=1[/tex]
what is the sum of two numbers is "-7." Two times the first number equals 4 the second number. Find the two numbers.
Answer:
[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]
Step-by-step explanation:
Let the numbers be x , y
Sum of two numers = -7
x + y = -7------------(I)
Two times the first number equals 4 the second number.
2x = 4y ----------(II)
Divide both sides by 2
[tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]
x = 2y
Subtitute x = 2y in equation (I)
2y + y = -7
3y = -7
y = -7/3
Plugin y = -7/3 in equation (II)
[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]
Justin is on a road trip. Over the past 2 days, he has driven a total distance of 715 miles at an average speed of 65 miles per hour. If
Justin drove 2 hours today, how many hours did he drive yesterday?
Answer:
1 hour did he drive yesterday
The point (3,6) is represented on the graph. Which point also belongs on this graph?
Line graph. Line starts at (0, 0). One point plotted: (3, 6).
Answer:
Your answer would be (36,72)
Step-by-step explanation:
How do we find coterminal angles for
degrees? Radians?
Answer:
To find coterminal angles, add or subtract 360 degrees of the terminal angle as many times possible.
To find radians, use this formula:
Degrees × π/180°
Coterminal angles point in the same exact direction.
In degree mode, you can add on 360 degrees to get a coterminal angle.
Example: 90 degrees is coterminal to 450 degrees because 90+360 = 450. Both angles 90 and 450 point directly north.
You can also subtract 360 from the angle to get a coterminal counterpart.
Example: Given the angle 700, it is coterminal to 340 since 700-360 = 340
This process of adding or subtracting 360 can be done as many times as you like.
------------------------------
For radian mode, you'll add or subtract 2pi radians to get a coterminal angle. This is because 2pi radians = 360 degrees by definition.
Examples:
pi is coterminal to 3pi because pi+2pi = 3pi, both point directly westpi/4 is coterminal to 9pi/4 because pi/4 + 2pi = pi/4 + 8pi/4 = 9pi/421pi/4 is coterminal to 13pi/4 because 21pi/4 - 2pi = 21pi/4 - 8pi/4 = 13pi/4Does anyone know how to solve this hard question without using a calculator
Answer:
sq rt 2/2
Step-by-step explanation:
Use unit circle to find the answer.
find the perimeter of the rectangle
Answer:
22x + 24
Step-by-step explanation:
7x+9+7x+9+4x+3+4x+3
11x + 18 + 11x + 6
Mark brainliest please!
Answer:
perimeter of a rectangle
=2(L+B)
Therefore...
=2(7x+9+4x+3)
collect like terms
=2(7x+4x+9+3)
=2(11x+12)
using 2 to multiply everything in the bracket
=2×11x + 2×12
=22x + 24
Find the amount you would pay for a jacket that costs $52 that is advertised at 25% off.
Answer:
39
Step-by-step explanation:
First find the discount
52 * 25%
52 * .25
13
Subtract that from the original amount
52-13
39
The price is 39 dollars
the mean temperature in Glens Falls for the month of february is 23 degrees with a standard deviation of 4.2 degrees. What is the z scores for temperature of 17 degrees?
Your answer is -1.43
What can the read infer most likely happened to Jun Do's mother?
a. She was forced to become a singer.
b. She left because she was tired of living in the countryside.
She was taken away
without her consent.
d. She left because she no longer loved Jun Do's father.
C.
The drug Lipitor is meant to lower cholesterol levels. In a clinical trial of 800 patients, 5% reported headaches.
Construct a 90% confidence interval estimate of the proportion of Lipitor users who will report headaches as a side effect. NO explanation needed or will be reported.
Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.
The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].
Hence, the bounds of the interval are given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]
The 90% confidence interval estimate is given by (0.0373, 0.0627).
More can be learned about the z-distribution at https://brainly.com/question/25890103
In the figure below, trapezoid WXYZ is isosceles, with WZ XY.
If mXWZ = 125° and mWXZ = 27°, what is mXZY?
A.
27°
B.
35°
C.
20°
D.
55°
Answer: the answer is 27 degrees .
Selecting a black vehicle with a leather interior
Find the following given f(x) = 10x- + 9.
a. f(4)
b. f(- 6)
c. f(0)
D. F(1/5)
Answer:
c
Step-by-step explanation:
c
10
Which inequalities are true? Select the four correct answers.
O V5 <2.3
0 V5 <24 < V6
O Vac5c √5.5
OVE <3 <3
O V <2.9 <
O4 <4.5<5
Answer:
A, B, C, E
Step-by-step explanation:
Here, you're being asked to put sets of three numbers in order. In many cases, two of the three numbers are irrational square roots. It can work well here to recognize that the order doesn't change if the numbers are squared. By squaring the numbers involved we can make an easier comparison of rational numbers.
__
a) √5 < 2.3 < √6 ⇒ 5 < (2.3² = 5.29) < 6 . . . . true
b) √5 < 2.4 < √6 ⇒ 5 < (2.4² = 5.76) < 6 . . . . true
c) √4 < √5 √5.5 ⇒ 4 < 5 < 5.5 . . . . true
d) √8 < 3 < √9 ⇒ 8 < (3² = 9) < 9 . . . . false
e) √8 < 2.9 < 9 ⇒ 8 < (2.9² = 8.41) < 9 . . . . true
f) √4 < 4.5 < √5 ⇒ 4 < (4.5² = 20.25) < 5 . . . . false
Use the Multiplication Law of Exponents to solve the expression below.
6 1/2 . 6 1/2=
The base of 6 is the same, so add 1/2+1/2 =1
6^1 = 6
Answer:
The asnwer is
The base of 6 is the same, so add 1/2+1/2 =1
6^1 = 6
Step-by-step explanation:
I hope i helped you very much
Find the length of the unknown side round your answer to the nearest 10th
Triangle in picture above ☝️
Answer:
72.8
Step-by-step explanation:
Izzie bought 6 hoodies that
each cost the same amount
and a pair of shorts that
cost $23. The items she
bought cost a total of $194
before tax was added. What
was the cost of each
hoodie? (set up an equation
to solve)
Answer:
$ 28.50
Step-by-step explanation:
6 hoods + 23 = 194
6 hoods = 171
hood = $ 28 . 50
In the triangle, angle RST is 90°. RS= 4cm and ST=3 cm. What is the length of RT? R 4 cm S T 3 cm
Step-by-step explanation:
RT^2=RS^2+ST^2
RT^2=16+9=25
RT=√25=5
The answer is 5
I need some help. i dont know what to do, and its very hard for my smol brain
Check the picture below.
[tex]\begin{cases} (12x)+(5x-10)+\theta =180\\ ~\hfill \theta +16x = 180 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large 180}}{(12x)+(5x-10)+\theta}~~ = ~~\stackrel{\textit{\Large 180}}{\theta +16x}\implies 17x-10+\theta =\theta +16x \\\\\\ 17x-10=16x\implies 17x=16x+10\implies \boxed{x=10} \\\\[-0.35em] ~\dotfill\\\\ \theta +16x = 180\implies \theta +16(10)=180\implies \theta +160=180\implies \stackrel{\measuredangle C}{\theta} =20[/tex]
Convert 3 4/9 to an improper fraction
Answer:
31/9 :)
Step-by-step explanation:
Lets convert!!
3 x 9 = 27
27 + 4 = 31
31/9
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
31/9
Step-by-step explanation:
how this mixed number shows is that you have 3 and 4/9. what you can do from there would be to multiply 3 by 9 so you can get the fraction 27/9, which is still equal to 3 (you are just changing the look of the number). Now, all you have to do is add that to 4/9 to get 31/9. Hope this helps!