Answer:
Step-by-step explanation:
10f + 3 = 23 + 6f
4f + 3 = 23
4f = 20
f = 5
Answer:
f = 5
Step-by-step explanation:
10f + 3 = 23 + 6f
Move the variable to the left-hand side and change its sign
10f + 3 - 6f = 23
Move the constant to the right-hand side and change its sign
10f - 6f = 23 - 3
Collect like terms and Subtract the numbers
4f = 23 - 3
4f = 20
Then divide both sides of the equation by 4
f = 5
What is the area of the following circle?
Answer:
[tex]16\pi\:\mathrm{units^2}\text{ or }50.24\:\mathrm{ units^2}[/tex]
Step-by-step explanation:
The area of a circle with radius [tex]r[/tex] is given as [tex]A=r^2\pi[/tex].
In the question, we're given [tex]r=4[/tex] and asked to solve for [tex]A[/tex].
Substituting [tex]r=4[/tex] into [tex]A=r^2\pi[/tex], we get:
[tex]A=4^2\pi,\\A=\boxed{16\pi\:\mathrm{units^2}}[/tex]
If we use [tex]\pi=3.14[/tex] as mentioned in the question, we would have:
[tex]A=16\pi=16\cdot 3.14=\boxed{50.24\:\mathrm{units^2}}[/tex]
arc length of an oval that is 6ft by 5ft. i just want 1/4 of the oval. i want to find out how long i would need a wire to go from the ground to the middle of the "dome".
the picture explains it better.
in the end i want to have a wire frame around the garden and than take some netting and use that to keep out the big bugs and birds. i will of course use zip ties to attach the screen/netting to the frame. unless there is a easier and cheaper way to do this.
You can model the ellipse with the equation
(x/6)² + (y/5)² = 1
If you're comfortable with calculus, read on.
Let x = 6 cos(t ) and y = 5 sin(t ), with 0 ≤ t ≤ π/2. Then the curve C parameterized by (x(t), y(t)) traces out one quarter of the ellipse. The arc length of this curve is given by the integral,
[tex]\displaystyle\int_C\mathrm ds = \int_0^{\pi/2}\sqrt{x'(t)^2+y'(t)^2}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{36\sin^2(t)+25\cos^2(t)}\,\mathrm dt \\\\ = \int_0^{\pi/2}\sqrt{25+11\sin^2(t)}\,\mathrm dt \\\\ = 5\int_0^{\pi/2}\sqrt{1+\frac{11}{25}\sin^2(t)}\,\mathrm dt[/tex]
Unfortunately, you cannot find the exact value of this integral. (Well, you can, but it involves introducing a special kind of function; I'll link it in a comment.)
But you can approximate it, and the integral above comes out to about 8.657.
I'm not sure if there's a simpler, purely geometric way to estimate the arc length. But since the semiaxes (5 ft and 6 ft) are fairly close, you could try a circle with a radius somewhere in between. The arc length would range between 7.854 ft and 9.425 ft. If the material isn't too expensive, you can always overshoot and trim off the excess or repurpose it.
what is the slope of the line?
The slope is -1.
You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times, The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!
please answer this question!!
Answer:
3
Step-by-step explanation:
A = C
6x + 11 = 3x +20
3x = 9
x = 3
which inequality is represented on the number line shown?
Answer: A x> -2
Step-by-step explanation:
Juan concludes that x? + 7x + 3 cannot be factored using integers.
is juan correct? how could juan improve his strategy?
I HOPE IT WILL HELP YOU. If it is right then plz tell me .
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
The graph below shows the solution to which system of inequalities
Helpppp
Answer:
Step-by-step explanation:
The weekly wages of employees of Volta gold are normally distributed about a mean of$1250 with a standard deviation of $120. Find the probability of an employee having a weekly wage lying 1) between $1320 and $970 2) over $1290 3) under $1400
Answer:
1) 0.7104 = 71%
2) 0.6615 = 66%
3) 0.8944 = 89%
Step-by-step explanation:
1)
Z(low)=-2.333 0.009815329
Z(upper)=0.583 0.720165536
2)
Z(low)=0.333 0.63055866
Z(upper)=8322.908 1
3)
Z(low)=-10.417 0
Z(upper)=1.25 0.894350226
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=2
Line 2: y=15x−3
Line 3: x=−4
Line 4: y+1=−5(x+2)
Answer:
lines 1 and 3
Step-by-step explanation:
y = 2 is a horizontal line parallel to the x- axis
x = - 4 is a vertical line parallel to the y- axis
Then these 2 lines are perpendicular to each other
y = 15x - 3 ( in the form y = mx + c ) with m = 15
y + 1 = - 5(x + 2) ( in the form y - b = m(x - a) with m = - 5
For the lines to be perpendicular the product of their slopes = - 1
However
15 × - 5 = - 75 ≠ - 1
The 2 lines 1 and 3 are perpendicular
cho x,y thuộc n thoả mãn x hia 3 dư 1,y chia 3 dư 2.hỏi x.y chia 3 có số dư bằng bao nhiêu
Answer:
2
Step-by-step explanation:
x÷3 dư 1-->x=3a+1
y÷3 dư 2-->y=3b+2
x×y=(3a+1)×(3b+2)
=9ab+6a+3b+2
Mà 9ab, 6a, 3b chia hết cho 3, 2 chia 3 dư 1
==>x×y chia 3 dư 2
Please help me factorise these and expand these brackets
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2)+3x(6-y)-7xy
xy-2x+18x-3xy-7xy
xy-3xy-7xy-2x+18x
-9xy+16x
A recipe for 4 servings requires salt and pepper to be added in the ratio of 2:3. If the recipe is adjusted from 4 to 8 servings, what is the ratio of salt and pepper that must now be added
Answer:
Is this a trick question ???
Why would the ratio of salt to pepper change if you doubled the recipe?
The amount of salt and pepper would double, but not the ratio...
the answer should be 2:3
Step-by-step explanation:
If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?
Answer:
C. 7 units
Step-by-step explanation:
The given parameters are;
The length of the chord of the circle, [tex]\overline{AC}[/tex] = 14 units
The orientation of the radius and the chord = The radius is perpendicular to the chord
We have in ΔAOC, [tex]\overline{AO}[/tex] = [tex]\overline{OC}[/tex] = The radius of the circle
[tex]\overline{OB}[/tex] ≅ [tex]\overline{OB}[/tex] by reflexive property
The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord [tex]\overline{AC}[/tex]
ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)
[tex]\overline{AO}[/tex] and [tex]\overline{OC}[/tex] are hypotenuse sides of ΔAOB and ΔCOB respectively and [tex]\overline{OB}[/tex] is a leg to ΔAOB and ΔCOB
Therefore;
ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency
Therefore;
[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, CPCTC
[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex] by definition of congruency
[tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] by segment addition postulate
∴ [tex]\overline{AC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{BC}[/tex] = [tex]\overline{AB}[/tex] + [tex]\overline{AB}[/tex] = 2 × [tex]\overline{AB}[/tex]
∴ [tex]\overline{AB}[/tex] = [tex]\overline{AC}[/tex]/2
[tex]\overline{AB}[/tex] = 14/2 = 7
[tex]\overline{AB}[/tex] = 7 units.
Answer:
7 units
Step-by-step explanation:
Please help explanation if possible
Answer:
y=-11
Step-by-step explanation:
A line can be represented by a linear equation of
[tex]y = mx + b[/tex]
where m is the slope and y is the y intercept.
The slope is 0 so this function will be
[tex]y = b[/tex]
Which is also called a constant function. The y intercept is -11. So the answer is
[tex]y = - 11[/tex]
what's the formula of
(a+b)³ = ?
Answer:
(a+b)³=a³+3a²b+3ab²+b³
Answer:
Step-by-step explanation:
Hello!
(a+b)(a+b)(a+b)
(a+b)(a+b) = a²+2ab + b²
(a²+2ab + b²) (a+b)=
a³ + a²b + 2a²b + 2ab² + ab² + b³ =
a³ + b³ + 2a²b + 2ab² + ab² + a²b
anyone can help me with this
Answer:
4x-7=-5x²
or, 5x²+4x-7=0
so the standard form of the equation is,
5x²+4x-7=0
or, f(x) = 5x²+4x-7
Answered by GAUTHMATH
30 Points cuz I need help ASAP
Answer:
the answer is option 1
Step-by-step explanation:
the negative angle => a quarter round angle (clockwise) = ¼ x ( -360°) = -90°
and
the positive angle => a full round angle + 270° = (360°)+270°
= 630°
Answer:
correct answer is -90 and 630
Step-by-step explanation:
Write 9cm to 1m as a ratio
Answer:
1m=100cm
9:100
hope this helps
Answer:
9/100
Step-by-step explanation:
how many cm in a meter ?
100
so, 9 cm are 9 of 100 or 9/100
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The triangles have the same shape.
DC. The triangles have the same size.
D. The corresponding angles of the triangles are congruent.
Answer:
the answer is a and ik because I just had the test
Independent Practice
Find the first, fourth, and eighth terms of the sequence.
an=0.5 · 3n−1a subscript n baseline equals 0.5 times 3 superscript n minus 1 baseline
A.
0.667; 4.5; 364.5
B.
3; 0.375; 0.0234375
C.
0.5; 13.5; 1093.5
D.
0.5; 121.5; 280.5
Answer:
C.
0.5; 13.5; 1093.5
Step-by-step explanation:
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h=32t-16t^2.
Complete question is;
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t². How long after launch does the projectile return to the ground?
Answer:
2 seconds
Step-by-step explanation:
We are told that the height function is given by;
h = 32t – 16t²
Now, the velocity will be the derivative of the height equation.
Thus;
v(t) = dh/dt = 32 - 32t
Now, for projectiles, at max height, v = 0.
Thus;
32 - 32t = 0
32t = 32
t = 32/32
t = 1 s
It will take the same time it took to get to Max height as it will to get to ground from that height.
Thus, total height = 1 + 1 = 2 seconds
if you can type 55 words in 20 seconds how long would it take to type 1,007 words
Answer:
2769.25Secound...........
Chocolate beans are packed in 250 g and 750 g packages. The number of 250 g packages and 750 g packages are in the ratio 1 : 2. If two of the 750 g packages are replaced into 250 g packages, then the ratio becomes 5 : 3. Find
a) the original number of 250 g packages,
b) the total mass of the chocolate beans.
Answer:
a) 4 packages
b) 7000 g or 7 kg
Step-by-step explanation:
x is the number of 250g packages and y is the number of 750g packages.
2x = y
3(x + 2 x (750 : 250)) = 5(y - 2)
3(x + 6) = 5(y - 2)
3(x + 6) = 5(2x - 2)
3(x + 6) = 5(2(x - 1))
3(x + 6) = 5 * 2 * (x - 1)
3(x + 6) = 10(x - 1)
3x + 18 = 10x - 10
(3x + 18) + 10 = (10x - 10) + 10
3x + 28 = 10x
28 = 10x - 3x
28 = 7x
x = 28/7
x = 4
y = 2 * 4 = 8
(250 * 4) + (750 * 8) = 7000 g
please find y and round to the nearest tenth
If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden?
Plz tell me how to do question 18
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).
A) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground
B) f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground
C) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground
D) f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground
Answer:
A) f(t) = 4(t − 1)^2 + 3; the minimum height of the roller coaster is 3 meters from the ground
Step-by-step explanation:
f(t) = 4t^2 − 8t + 7
Factor out 4 from the first two terms
f(t) = 4(t^2 − 2t) + 7
Complete the square
(-2/2)^2 =1 But there is a 4 out front so we add 4 and then subtract 4 to balance
f(t) = 4( t^2 -2t+1) -4 +7
f(t) = 4( t-1)^2 +3
The vertex is (1,3)
This is the minimum since a>0
The minimun is y =3 and occurs at t =1
Answer:
The above answer is correct.
Step-by-step explanation:
What type of conic section is the following equation?
5x^2-y=12
Answer:
The conic section for the equation 5x^2 - y = 12 is parabola
Out of a sample of 327 Americans, 245 said they had no interest in professional soccer.
(Data simulated from Carey & Kereslidze, 2007) A 95% confidence interval for the
proportion of Americans who have no interest in professional soccer is 0.70 to 0.80.
Suppose that another sample of 784 Americans was taken and asked the same question.
How would the width of the new confidence interval compare to the width of the
confidence interval based on the 327 women in the armed forces?
The width of the confidence interval based on the 784 women would be narrower than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be wider than the
confidence interval based on the 327 women.
The width of the confidence interval based on the 784 women would be the same as the
confidence interval based on the 327 women.
O No answer text provided.
Answer:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From this, we have that the margin of error, and also the width, is inversely proportional to the sample size, that is, a larger sample size leads to a smaller margin of error and a narrower interval.
How would the width of the new confidence interval compare to the width of the confidence interval based on the 327 women in the armed forces?
New interval: 784
Old interval: 327
Sample size increased, so the new interval will be narrower, and the correct answer is:
The width of the confidence interval based on the 784 women would be narrower than the confidence interval based on the 327 women.
