Using the midline property;
[tex]2wy = vz[/tex]
[tex]2(p - 21) = p - 7[/tex]
[tex]2p - 42 = p - 7[/tex]
[tex]2p - p = - 7 + 42[/tex]
[tex]p = 35[/tex]
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going
on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative
sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
O The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
O The representative sample contained an equal number of boys and girls.
Answer:
more girls than boys.
Step-by-step explanation:
because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.
Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.
Answer:
When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.
Step-by-step explanation:
I need to a paint a spherical storage tank in the pool. it has a radius of 8 feet and the paint cans i brought will cover 75 square feet of the surface area. how many cans of paint will i have to buy?
======================================================
Explanation:
SA = surface area of the sphere
SA = 4*pi*r^2
SA = 4*pi*8^2
SA = 804.247719
The surface area is roughly 804.247719 sq ft.
I used the calculator's stored version of pi to get the most accuracy possible.
Since 1 paint can covers 75 sq ft, divide that surface area over 75 to find out how many cans you need.
804.247719/75 = 10.72330292
Round up to the nearest integer to get 11
You'll have leftover paint, but it's better to go over the goal than come up short.
Complete the table below. Show all your work.
josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8
Find only C please i don't need A or B
answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ .━━━━━━━†━━━━━━━━━.・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
x/4+<2/7 I need help i'm stuck
Answer:
X< 7/8
Step-by-step explanation:
X< 2/7×4
X< 2×4/7
X< 7/8
Answer:
[tex]\boxed{\sf{x < -\dfrac{20}{7} }}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is isolate it on one side of the equation.
x/4+<2/7
First, multiply by 4 from both sides.
x/4*4+4<2/7*4
Solve.
2*4=8
Rewrite the problem down.
x+4<8/7
Then, you subtract by 4 from both sides.
x+4-4<8/7-4
Solve.
x<-20/7
Therefore, the correct answer is x<-20/7.
I hope this helps you! Let me know if my answer is wrong or not.
help help help help help
Answer: 10
Step-by-step explanation:
We can get this is a right triangle with a hypotenuse of c and legs equal to the height and radius.
So, the hypotenuse is c and the legs are 6 and 8.
This means that c=10
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π3?
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
How to determine the instantaneous rate of change of a given functionThe instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:
[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Where [tex]h[/tex] is the difference rate.
In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:
[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]
[tex]g(x) = \cos x[/tex]
Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:
[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]
To learn more on rates of change, we kindly invite to check this verified question: https://brainly.com/question/11606037
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
What is the instantaneous rate of change?The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.
The instantaneous rate of change is given by the following formula;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]
The given function is;
[tex]\rm f(x)=sinx[/tex]
The function is also written as;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]
Substitute the value of x in the function
[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]
Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
To learn more about instantaneous rates click the link given below.
https://brainly.com/question/11606037
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If I watched anime for 1 hour a day, every episode being 20 minutes long, and there is 1016 episodes, how meant days would it take to watch the entire anime series?
Answer:
20320 minutes
Step-by-step explanation:
divided the minutes by 24 then get your answer
PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
√(23)
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c²
so...
a = 7
b = 3
7² + 3² = c²
14 + 9 = c²
√(23) = c
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
State the domain and range and determine if it's a function?
if we do a vertical line test on that graph, we'll find that a vertical line will pass by and hit the line only once on its way down, only once meaning the graph is the graph of a function.
Rangewell, is really how high and low it goes or namely over the y-axis.
well, it goes up up up to 3 then U-turns and back down it goes, now the graph has arrowheads, meaning the graph keeps on going towards infinity, vertically as well as horizontally since it's a parabola, so the range will be
[3 , +∞)Domainwell, is simply how left and right it goes or namely over the x-axis.
judging from the arrowheads it moves from infinity to infinity, so
(-∞ , +∞).HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-3,8)
step by step explanation:
y=-4/3 +4
x=-3
put in x value in first Problem
y=-4/3(-3) +4
solve
y= 12/3+4
y=4+4
y=8
we already know what x is so
x= -3, y=8
(-3,8)
hope this helps
a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?
Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
What is a Hemisphere?A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.
Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.
Therefore, the diameter of a full sphere = side length of cube.
Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
Learn more about hemisphere on:
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Need it ASAP PLEASE HELP!!!!
Answer:
25π + 30m which is approx. 108.54m
Step-by-step explanation:
First, we can work out the angle of the middle of the playground. 360 - 60 = 300°
Next, we can find out the arc length of the playground using the formula:
θ/360 × πd → 300/360 × 30π = 25π
Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m
Hope this helps!
simplify and expand 5(m+2) -3(m-2)
thank you
Answer:
2(m+8)
Step-by-step explanation:
5(m+2) -3(m-2)
= 5m+10-3m+6
= 2m+16
= 2(m+8)
Answer:
2m +16Step-by-step explanation:
[tex]\begin{aligned}& 5(m+2)-3(m-2) \\\\=& 5 m+5 \times 2-(3 m-6) \\\\=& 5 m+10-3 m+6 \\\\=&(5 m-3 m)+(10+6) \\\\=& 2 m+16\end{aligned}[/tex]
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
what are factors of the expression [tex]x^{2}[/tex]+x 20?
Answer:
Step-by-step explanation:
answer: (x-4)(x+5)
x^2 + x - 20
x^2 + 5x -4x -20
x^2 + 5x - 4x - 20
x(x+5) -4 (x+5)
x(x+5)-4(x+5)
(x-4)(x+5)
What are the measures of center for a data set?
Mean, Median, and Mode
Mean - Add all the numbers then divide by the number of numbers you added.
Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)
Mode - The number that appears the most in a set of numbers.
They are called measures of center because they are statistics that describe the center of a set of data.
help please A.) runner a
b.) runner b
C.) runner c
Answer:
Runner A is more consistent as all of the dots are close to the line unlike Runner B or C
Please help I will give brainliest.
Answer:
Multiply the numbers then Add on both sides then simplify
Step-by-step explanation:
Work out m and c for the line:
y=6 - 2
Answer:
Step-by-step explanation:
y=Mx+c
M=6 c=-2
I need help desperately lol
Answer:
Step-by-step explanation:
First find the shaded area. Ignore the fact that something is missing.
L = 16
w = 8
Area = L*w Substitute the givens
Area = 16*8
Area = 128
Now consider the white area. It has a "length" of 4 and a width of 8
L = 4
w = 8
Area = 32
Now subtract 32 from 128
Area of shaded part = 128 - 32
Answer: 96 mm^2
Solve each system by graphing. Y=x-4 and y=-x
Check the picture below.
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-5Identify the population and the sample. Lena wants to open a new restaurant in a mall and needs to determine what kind of food to serve to attract the most customers. Out of 1200 mall visitors, 200 are asked their food preference.
The total mall visitors is the population parameter of the experiment
The sample of the experiment is 200, while the population is 1200
How to identify the sample and the experiment?From the question, we have the following parameters:
Total mall visitors = 1200Visitors interviewed = 200The total mall visitors is the population while the visitors that were asked of their food preference are the sample
Hence, the sample of the experiment is 200, while the population is 1200
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