Answer:
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Circumference of a circle:
The circumference of a circle of diameter d is given by:
[tex]C = \pi d[/tex]
In which d is the diameter.
One circle has a circumference half as large as that of a second circle.
We have that:
[tex]C_1 = \frac{C_2}{2}[/tex]
So
[tex]\pi d_1 = \frac{\pi d_2}{2}[/tex]
Simplifying by [tex]\pi[/tex]
[tex]d_1 = \frac{d_2}{2}[/tex]
[tex]\frac{d_1}{d_2} = \frac{1}{2}[/tex]
The ratio that compares the diameter of the first circle to the diameter of the second circle is [tex]\frac{1}{2}[/tex]
I need help on this please!
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Study guide for exam.
At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?
Answer:
9.4 ounces
Step-by-step explanation:
this equation can be derived from the question
$5.75 + $0.45t = 10
where t = ounces of toppings
combine like terms
$0.45t = 10 - $5.75
$0.45t = $4.25
t = 4.25 / 0.45
t = 9.4 ounces
Re write this expression 4(6 x +12)
Answer:
24 (x + 2)
24x + 48
these are two ways to rewrite the expression
Answer:
24x+48
Step-by-step explanation:
The numbers x, y, z and w have an average equal to 25. The average of
x, y and z is equal to 27. Find w.
A. 23
B. 19
C. 25 D. 29
Answer:
look at the picture i sent
Calvin wrote inequalities to compare the heights, in feet, of rivers above or below flood stage.
Select all of the inequalities that are correct.
A. -10 > -9
B. 1> -18
C. -25 > -30
D. 3 < -5
E. -10 < 3
Answer:
I'm not 100% sure but I think its B. 1> -18
Plzzzzz helpppp, Find the value of x
Answer:
51
Step-by-step explanation:
What is the quotient if
1/3 of 10 is divided by 1/7 of 8/12? Reduce if possible.
Answer:
2.75
Step-by-step explanation:
QUESTION 2.
Trevor bought new sneakers originally listed for $64.99. They are 15% off. Which equation can be used
to find the amount Trevor will save?
A. X= 1.15(64.99)
B. x = 15(64.99)
C. x = .85(64.99)
D. x = .15(64.99)
Answer:
c
Step-by-step explanation:
Find the LCD of the given rational equation: 9/x-1+-3x/x+6=4x/x^2-7x+6
Answer: the answer would be A.
(x-1)(x-6)(x+6)
Step-by-step explanation:
a p e x
The LCD of the given expression is (x-1)(x-6)(x+6).
What is LCD?
The least common denominator (LCD) is the smallest number or expression that can be a common denominator for a set of fractions.
What is the LCD in the given expression?
Factor the denominator of the right side of the equation.
[tex]\frac{9}{x-1}-\frac{3x}{x+6}=\frac{4x}{(x-1)(x-6)}[/tex]
From this, it is conclude that the common denominator will be [tex](x-1)(x-6)(x+1)[/tex].
Therefore, the LCD of the given expression is (x-1)(x-6)(x+6).
Learn more:https://brainly.com/question/2004756
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A frozen yogurt shop charges $1.50 for a cone plus $0.35 for each scoop of
frozen yogurt. Rose paid $2.90 for her frozen yogurt. How many scoops did
she have?
Type your answer...
PLS HELP PLS PLS!!
A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.
Answer:
CI = (0.68, 3.84)
Step-by-step explanation:
We want to find the confidence interval for the difference in means between the two groups MC and MN.
where;
- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.
- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.
We are given;
Sample mean of C; x'c = 1.3
Sample mean of N; x'n = -0.96
Standard deviation of C; S_c = 2.32
Standard deviation of N; S_n = 1.58
Sample size of C; n_c = 11
Sample size of N; n_n = 10
Formula for the confidence interval for the difference in means is;
CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]
Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833
Thus;
CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]
CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]
CI = (2.26 - 1.58), (2.26 + 1.58)
CI = (0.68, 3.84)
A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches
Answer:
A
Step-by-step explanation:
Arc length is given by the formula:
[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]
Where r is the radius and θ is the central angle, in degrees.
The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:
[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]
Use a calculator:
[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]
Our answer is A.
what's the standard equation of the circle with the general equation x2 + y2 + 4x - 2y - 20 = 0
Answer:
(x+2)2+(y-1)2=25
Step-by-step explanation:
x2+y2+4x-2y+4+1=20+4+1
A circus acrobat is shot out of a cannon with an initial upward speed of 50 . The equation for the acrobat's pathway can be modeled by the equation h = - 16t ^ 2 + 50t + 4 .
a.Find the maximum height of the acrobat.
b.How long will it take to reach the ground?
Answer:
Step-by-step explanation:
h = - 16t ^ 2 + 50t + 4
maximum height take the first derivative of h (calculus if you are taking it)
h' = -32t + 50 set this equal to zero
0 = -32t +50
t = 50/32
t = 1.5625 now plug t = 1.5625 into the height equation
h = - 16(1.5625) ^ 2 + 50(1.5623) + 4
h = 43.0625 ft
you can also find the maximum height by graphing the function and locating the peak value (much easier)
how long to reach the ground h = zero
0 = - 16(t) ^ 2 + 50(t) + 4
use the quadratic equation to solve this or graph the function h(t) and find the roots (much easier) and you will find that
t = -0.078 and 3.203 seconds
obviously the negative root makes no sense unless he time travelled so
t = 3.203 seconds
Two functions are shown in the table below.
Function - 1,2,3,4,5,6
f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).
x = 6
x = 3
x = 5
x = 4
Answer:
[tex](d)\ x = 4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x + 8[/tex]
Required
Find x such that: [tex]f(x) = g(x)[/tex]
This gives:
[tex]-x^2 + 4x + 12 = x+8[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -8=0[/tex]
[tex]-x^2 + 3x +4 =0[/tex]
Expand
[tex]-x^2 + 4x - x+4 =0[/tex]
Factorize
[tex]x(x - 4) - 1(x-4) = 0[/tex]
Factor out x - 1
[tex](x- 1)(x - 4)=0[/tex]
Solve:
[tex]x =1\ or\ x = 4[/tex]
1
Circle C has radius 5 and center C(6,-2).
Find the equation of circle C.
A (x + 6)2 + (y - 2)2 = 5
B (z - 6)2 + (y + 2)2 = 5
© (x+6)2 + (y - 2)2 = 25
D (z - 6)2 + (y + 2)2 = 25
When Natalie runs the 400 meter dash, her finishing times are normally distributed with a mean of 71 seconds and a standard deviation of 2.5 seconds. What percentage of races will her finishing time be between 71 and 77 seconds, to the nearest tenth?
Answer:
49.2%
Step-by-step explanation:
Help solve the problem pls
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
Line A passes through the point (-8, 3) and is perpendicular to the line represented by the equation
y = -4x + 9. Line A can be expressed as an equation of the form y = mx + b.
Part A
What is the value of m for line A?
Part B
What is the value of b for line A?
Answer:
Did u get the answers ?
Step-by-step explanation:
I need help lol
Answer: A: -4 B:-29
Step-by-step explanation:
What are the volume and the surface area of this storage chest?
Answer:
Hello!
answer: volume is 18
answer: surface area is 44
Hope that helps!
Which of the following three-dimensional solids cannot be generated by rotating a two-dimensional figure around an axis?
sphere
pyramid
cylinder
cone
Answer:
Step-by-step explanation:
Sphere
How many milligrams are equal to 3.06 grams?
Answer:
1gm=100mg
3.06gm=306mg
Step-by-step explanation:
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Plz help me well mark brainliest if correct.....????
Answer:
The answer would be C. 31
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
15 Girls like fantasy books and 16 boys like fantasy books so in total the students that like fantasy books are 31.
hope this helps,have a great day!!
~Pinky~
Find the distance between the points (-15, 3) and (-9, 8).
Answer:
61 units
Step-by-step explanation:
The knockoff Jersey store sold 6 more Leafs jerseys than Senators. Four times the number of Senators Jersey sold plus three times the number of Leafs jerseys sold is 102. How many Leaf Jerseys were sold?
Answer:
72
Step-by-step explanation:
6x4=24x3=72
Can someone help me with this?
Answer:
I can help you via Watsapp
The hypotenuse of a right triangle is 13 m long. The shorter leg is 7 m shorter than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: m Length of the longer leg: m Length of the hypotenuse: m
Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m
Step-by-step explanation:
Plz help me well mark brainliest if correct!....
Answer:
C
Step-by-step explanation:
B can immediately be eliminated because it has an area of 14.
A and C have an area of 10.
So add the sides.
C:
4 + 4 + 1 + 1 + 2 + 2 + 1 + 3
= 18
A: 3 + 3 + 2 + 2 + 1 + 1 + 1 + 1 =
10 + 4 =
14
Right circular cylinder has volume and radius. Right circular cylinder is similar to cylinder and has volume. Find the radius of cylinder.
Answer: where’s the picture
Step-by-step explanation:
Hum
PLEASE HELP WITH THIS ASPA 3/8 divided by-3/5
Answer:
Step-by-step explanation: