Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere.
Answer:
Kayla is correct; the center is a fixed point in the middle of the sphere
Step-by-step explanation:
To understand the solution we need to understand what a sphere is.
What is Sphere?
Sphere is a 3 dimensional solid where every point is equidistant from the center.
what is center and radius?
Center is the point in the middle
radius is the line joining any point on the surface to the center of the sphere
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Solve for x.
mx2 + y
e
= b
A)
x =
be - y
m
B)
x =
be - y
m
C)
x = ±
be - y
m
D)
x = ±
be + y
m
Answer:
its C
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
The scores on a standardized test are normally distributed with a mean of 500 and a standard deviation of 60. Jake scored 520 on the test. Find the percent of students that scored below Jake. Round your answer to the nearest whole number. (Include a step by step description of the process you used to find that percentage.)
*You will need to find the z-score using the z-score formula, the probability using the table, then change the probability to a percent.
Subtract the mean from Jake's score:
520 - 500 = 20
No divide that by the standard deviation:
20/60 = 0.33
This means Jake scored 0.33 standard deviations above the mean.
Now using the Z-table find 0.33: 0.33 = 0.6293 = 62.93% of students scored below Jake.
Rounded to nearest whole number = 63%
Answer:
63% of students
Step-by-step explanation:
Z = (X - μ) / σ
Z = 520 - 500 / 60
Z = 0.33
ON THE Z-TABLE
0.33 = 0.6293
62.93% = 63% of students answer
To the nearest hundredth, what is the value of x?
42.16
43.11
52.07
54.26
Answer:
52.07
Step-by-step explanation:
We know that the sin of an angle is equal to the opposite side divided by the hypotenuse
sin 51 = opposite side/ hypotenuse
sin 51 = x/67
Multiply each side by 67
67 sin 51 = x
52.06877942=x
To the nearest hundredth
52.07 =x
Given (x, y ) = (5, 15). Find tan θ.
a.3
b.1/3
c.5
d.1/5
Answer:
Step-by-step explanation:
You wouldn’t put y over x Which is 15/3 you would divide which gives you five. So your tan theta would be 5
Answer:
it's definitely 3 on odyssey. tan theta= y/x =3.
Step-by-step explanation:
need some help plz-(7-9z)+8(3z-4)
Simplify brackets
-7 + 9z + 8(3z - 4)
Expand
-7 + 9z + 24z - 32
Collect like terms
(-7 - 32) + (9z + 24z)
Simplify
-39 + 33z
Regroup terms
= 33z - 39
Julian has 3 pounds of ham to make 12 sandwiches.Which statement about Julian's sandwiches are true? A) Each sandwich has more than 1 pound of ham B)Julian will have 1/2 pound of ham left over C)Each sandwich has 1/4 pound of ham D) Each sandwich has 4 pounds of ham
Answer:
C. Each Sandwich has 1/4 pounds of ham
Step-by-step explanation:
many locations require that renters be paid interest on their secuity deposits. If ypu have a security deposit of $1,700, how much interest would you expect to earn per year at 5 percent?
Answer: $85
Step-by-step explanation: The formula for interest is I = PRT, where I equals interest, P equals principal, R equals rate and T equals time.
I = 1,700 x .05 x 1 = $85
You can expect to earn $85 interest for one year on the security deposit.
what is the molariry of a solution that contains 1.22 mol of hydrogen chloride if the total volume of the solution is 1,251 mL?
Your molarity would be 0.975 M HCl because it’s moles of solute divided by liters of solvent
The answer would be 0.975
Please help! I will mark brainliest if it lets me
The answer you are looking for is the first 1, or a. hope this helps. Please mark me as brainliest.
Answer:
The first line is the correct answer. because of the ≤ sign it means that circle will be closed and the line will be to the left. A trick is if you picture the sign as an arrow then that will be which way the line will go. ;) Hope this helps!
Identify the area of the rhombus.
Answer:
[tex]A=240\ m^{2}[/tex]
Step-by-step explanation:
we know that
A rhombus is a parallelogram with four congruent sides, the diagonals are perpendicular bisectors of each other
The area of a rhombus is equal to
[tex]A=\frac{1}{2}(D1*D2)[/tex]
where
D1 and D2 are the diagonals
In this problem we have
[tex]D1=16\ m[/tex]
Applying the Pythagoras Theorem find D2
[tex]17^{2} =(D2/2)^{2}+(16/2)^{2}[/tex]
[tex](D2/2)^{2}=17^{2}-(16/2)^{2}[/tex]
[tex](D2/2)^{2}=225[/tex]
[tex](D2/2)=15[/tex]
[tex]D2=30\ m[/tex]
Find the area of the rhombus
[tex]A=\frac{1}{2}(16*30)=240\ m^{2}[/tex]
Derive these identities using the addition or subtraction formulas for sine or cosine:
a. sin a sin b = 1 / 2(cos(a – b) – cos(a + b))
b. sin a cos b = 1 / 2(sin(a + b) + sin(a – b))
Answer:
Step-by-step explanation:
cos(a-b)-cos(a+b)=2(sina x sinb)
using formulae of cos (a-b) & cos(a+b)
cos a cos b + sina sinb - cosa cosb + sina sinb=2 sina sinb
2 sina sinb = 2 sina sinb
proved!
Given sin theta= 6/11 and sec theta < 0, find cos theta and tan theta.
Answer: option a.
Step-by-step explanation:
By definition, we know that:
[tex]cos^2(\theta)=1-sen^2(\theta)\\\\tan(\theta)=\frac{sin(\theta)}{cos(\theta)}[/tex]
Substitute [tex]sin(\theta)=\frac{6}{11}[/tex] into the first equation, solve for the cosine and simplify. Then, you obtain:
[tex]cos(\theta)=\±\sqrt{1-(\frac{6}{11})^2}\\\\cos(\theta)=\±\sqrt{\frac{85}{121}}\\\\ cos(\theta)=\±\frac{\sqrt{85}}{11}[/tex]
As [tex]sec\theta<0[/tex] then [tex]cos\theta<0[/tex]:
[tex]cos(\theta)=-\frac{\sqrt{85}}{11}[/tex]
Now we can find [tex]tan\theta[/tex]:
[tex]tan\theta=\frac{\frac{6}{11}}{-\frac{\sqrt{85}}{11}}\\\\tan\theta=-\frac{6\sqrt{85}}{85}[/tex]
Answer:
a
Step-by-step explanation:
Please help with this question, I will give the brainliest if correct! The question is in the picture.
Answer:
Resolved.
Step-by-step explanation:
Answer:
The Answer is B. I had this a few months ago. Good luck with Apex!
Which expression is equivalent to
1/100c^3d^4
1/100c^6d^9
1/10c^3d^4
1/10c^6d^9
Answer:
1/10c^3d^4
Step-by-step explanation:
A cube root is an operation which splits expressions and numbers within it into 3 groups of the exact same size. These groups when multiplied by themselves make the expressions and numbers under the root. For example, ∛27 = 3 since 3*3*3 = 27.
Take each part under the cube root and split it into three equal groups.
1/ 1000 = 1/10 * 1/10 * 1/10 so ∛1/1000 = 1/10
c^9 = c^3*c^3*c^3 so ∛c^9 = c^3
d^12 = d^4*d^4*d^4 so ∛d^12 = d^4
Together ∛1/1000 c^9 d^12 = 1/10 * c^3 * d^4
Evaluate the exponential expression: (2x)2nd power −3y2nd power =___, if x = 5 and y = 3.
A.73
B.125
C.-73
D.-125
ANSWER
A. 73
EXPLANATION
The given expression is
[tex](2{x})^{2} - 3{y}^{2} [/tex]
We substitute x=5 and y=3 to obtain:
[tex](2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9[/tex]
This simplifies to,
[tex] = 100 - 27[/tex]
[tex] = 73[/tex]
The correct choice is A.
How many sums????????????????? EXPLAIN!
Answer: 7
Step-by-step explanation:
The 1st spinner can land on 2, 3, 4, or 5
The 2nd spinner can land on 2 or 3
The 3rd spinner can land on 6, 7, or 8
1st spinner + 2nd spinner + 3rd spinner:
2 + 2 + 6 = 10, 2 + 2 + 7 = 11, 2 + 2 + 8 = 12 --> 3 different sums
2 + 3 + 6 = 11, 2 + 3 + 7 = 12, 2 + 3 + 8 = 13 --> 1 different sum
This pattern follows where the only new sums are as follows:
3 + 3 + 8 = 14
4 + 3 + 8 = 15
5 + 3 + 8 = 16
This makes a total of 7 different sums.
You want to save ₹1,17,000 to buy your first self-driving magic carpet. You deposit ₹90,000 in a bank at an interest rate of 6 % 6%6, percent per annum. How many years do you have to wait before you can buy your magic carpet?
Answer:
4.50 yr
Step-by-step explanation:
I assume that this is compound interest.
The compound interest equation is
[tex]A = P(1+ \frac{r }{ n})^{nt}[/tex]
You don't give the frequency of compounding, so I assume that it is once per year.
Data:
A = ₹117 000
P = ₹90 000
r = 6 % = 0.06
n = 1
Calculations:
[tex]117 000 = 90 000(1+ \frac{0.06 }{ 1})^{1 \times t}[/tex]
[tex]117 000 = 90 000(1+ 0.06)^{t}[/tex]
Divide each side by 90 0000
[tex]1.3 = 1.06^{t}[/tex]
Take the logarithm of each side
log1.3 = tlog1.06
0.1139 = 0.025 31t
Divide each side by 0.025 31
t = 4.50 yr
You can buy your magic carpet in 4.50 yr.
Answer: is 5
all you have to do is \(^o^)/
(1,17,000−90,000)=27,000
1 year =6%of 90,000
1%of 90,000=900
6% of 90,000=(6*900)
1 year =5400
27,000 u divide that by 5400=5 soooooooooo......
ITs Five 5The interest rate r required to increase your investment p to the amount a in t years is found by [tex]r=(\frac{a}{p} )^\frac{1}{t} -1[/tex]. Find the interest rate r for p = 2700, a = 6400, and t = 3. Round to the nearest hundredth.
The interest rate required to increase an investment of $2700 to $6400 in 3 years, using the formula r=(a/p)^(1/t) - 1, is approximately 38.5% per year when compounded annually.
Explanation:The subject at hand deals with the concept of finding the interest rate on an investment. The provided equation, which represents the interest rate formula, is: r=(a/p)^(1/t) - 1. Here, the variables represent the following: r is the interest rate, a is the amount of money accumulated after t years (the future value of the investment), p is the principle/original amount (the initial value of the investment), and t is the time in years. By inserting the given values (p = 2700, a = 6400, t = 3) into the formula, we get: r = (6400 / 2700)^(1 / 3) - 1.
The next step is to calculate the arithmetic for the values inside the parenthesis first, then raise it to the power of 1/3 (which is the cube root), and finally subtract 1 from the result. Doing these calculations you obtain approximately 0.385, or 38.5% when expressed as a percentage. So, the interest rate that is required to increase your investment of $2700 to $6400 in 3 years is approximately 38.5% per year when compounded annually.
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A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
3 hours and 45 minutes
Step-by-step explanation:
The time to travel 180 miles at an average speed of 48 miles per hour is approximately 3.75 hours. This was calculated using the formula Time = Distance / Speed.
Explanation:The question is based on time, speed, and distance, all correlating with each other, and to solve, we will use the following frequently used formula:
Time = Distance / Speed
We can substitute the given values into our formula. We know our distance is 180 miles and our speed is 48 miles per hour. So, our equation becomes:
Time = 180 miles / 48 miles per hour
After calculating this equation, we get approximately 3.75 hours.
So, it would take approximately 3.75 hours to travel 180 miles at an average speed of 48 miles per hour.
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1. Derive this identity from the sum and difference formulas for cosine:
sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]
Calculation:
1.
2.
3.
Reason:
1.
2.
3.
2. Use the trigonometric subtraction formula for sine to verify this identity:
sin((π / 2) – x) = cos x
Calculation:
1.
2.
3.
Reason:
1.
2.
3.
Answer:
See below.
Step-by-step explanation:
1. (1 / 2)[cos(a – b) – cos(a + b)]
= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)
= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)
= 1/2 ( 2 sina sinb)
= sina sinb.
(I used the 2 identities cos(a - b) = cosa cosb + sina sinb) and
cos (a + b) = cosa cosb - sina sinb.)
2. sin (π/2 - x) = sin (π/2) cos x - cos(π/2) sin x
= 1 * cos x - 0 * sinx
= cosx - 0
= cos x.
(I used the identity sin(a - b) = sina cosb - cosa sinb
and the fact that sin(π/2) = 1 and cos (π/2) = 0. )
Answer:
1. sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]
Calculation:
Taking L.H.S. of above equation
(1 / 2)[cos(a – b) – cos(a + b)]
= (1 / 2) [ (cos a cos b + sin a sin b) - (cos a cos b - sin a sin b)]
{∵ cos(a – b) = cos a cos b + sin a sin b & cos(a + b) = cos a cos b - sin a sin b}
= (1 / 2) [ cos a cos b + sin a sin b - cos a cos b + sin a sin b]
= (1 / 2) [2 sin a sin b]
= sin a sin b
2. sin((π / 2) – x) = cos x
Calculation:
sin((π / 2) – x) = sin (π / 2) cos x - cos (π / 2) sin x
{∵sin(a - b) = sin a cos b - cos b sin a
& sin (π / 2) = 1 & cos (π / 2) = 0}
= 1 × cos x - 0 × sin x
= cos x
Two different types of polishing solutions are being evaluated for possible use in a tumble-polish operation for manufacturing intraocular lenses used in the human eye following cataract surgery. 300 lenses were tumble-polished using the first polishing solution, and of this number, 249 had no polishing-induced defects. Another 300 lenses were tumble-polished using the second polishing solution, and 196 lenses were satisfactory upon completion. Is there any reason to believe that the two polishing solutions differ? Use α = 0.01. What is the P-value for this test? There significant difference in the proportion of polishing-induced defects produced by the two polishing solutions at the 0.01 level of significance. The P-value is . Round your answer to three decimal places (e.g. 98.765).
Final answer:
To determine if there is a significant difference between two polishing solutions, a two-proportion z-test can be used, comparing the proportions of polishing-induced defects. If the p-value is less than the significance level (0.01), the null hypothesis is rejected.
Explanation:
To determine if there is a significant difference between the two polishing solutions used in tumble-polishing intraocular lenses, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference between the proportions of polishing-induced defects for the two solutions, while the alternative hypothesis (Ha) is that there is a difference.
We can use a two-proportion z-test to compare the proportions of defects. The z-test statistic is calculated as:
z = (p1 - p2) / [tex]\sqrt{(p1q1/n1)[/tex] + (p2q2/n2))
where p1 and p2 are the proportions of defects, q1 and q2 are 1-p1 and 1-p2 respectively, and n1 and n2 are the number of lenses polished with each solution. The p-value for this test can be calculated using a standard normal distribution table or a statistical software.
If the p-value is less than the significance level α (0.01 in this case), we reject the null hypothesis and conclude that there is a significant difference between the two polishing solutions.
The p-value for this test cannot be determined without the actual values of p1, p2, q1, q2, n1, and n2.
Credit cards can only lead to debt that is difficult to eliminate and should be avoided at all costs. Please select the best answer from the choices provided T F
This statement is false.
Step-by-step explanation:
Credit cards can only lead to debt that is difficult to eliminate and should be avoided at all costs. This is false.
This is not a standard statement that credit cards always lead to debt. A person should use his credit card with responsibility. He should pay the bills timely to avoid accumulation of debt and other fines. Only when a person uses his card irresponsibly and does not pay dues timely, can lead to debts.
So, this is a false statements.
Answer:
False
Step-by-step explanation:
A duplex generates $1,400 rent for each of its two units per month. The property has been recently appraised for $350,000. What is this property's GIM? 4.8, 9.6, 10.4, or 20.83??
Answer:
10.4
Step-by-step explanation:
To get the property's gross income multiplier (GIM), you divide its appraised value by its gross annual rental income.
Rental income = 2 × $1400/1 month × (12 months/1 yr)
= $33 600/yr
GIM = $350 000/$33 600 = 10.4
The property's GIM is 10.4.
Susan is 60 inches tall. Myra is 6 inches taller than Elaine, who is 4 inches shorter than susan how tall is myra
62 inchezzzzzzz so 60-4 = 56 --- 56 +6 = 62
Please answer this question, will give brainliest!
m∠H = 50°
∠H is a inscribed angle, and so that the intercepted arc would be twice the amount of the angle.
Arc KI = 100°
Because ∠KGI & ∠HKI share the same arc, the measurement for ∠KGI will be the same as ∠HKI, or 50°
m∠KGI = 50°
Next, find m∠KJI. arcKJI = 2(∠H) = 2(50) = 100
m∠KJI = 100°
~
A cheesecheese can be classified as either raw dash milkraw-milk or pasteurizedpasteurized. Suppose that 9797% of cheesescheeses are classified as pasteurizedpasteurized. (a) Two cheesescheeses are chosen at random. What is the probability that both cheesescheeses are pasteurizedpasteurized? (b) NineNine cheesescheeses are chosen at random. What is the probability that all ninenine cheesescheeses are pasteurizedpasteurized? (c) What is the probability that at least one of ninenine randomly selected cheesescheeses is raw dash milkraw-milk? Would it be unusual that at least one of ninenine randomly selected cheesescheeses is raw dash milkraw-milk?
Answer:
chese is th awnser
Step-by-step explanation:
Please help me out with this!
Answer:
20
Step-by-step explanation:
z=(180-124-16)/2
Here is your answer
[tex]<b>z= 20 degrees</b>[/tex]
REASON:
[tex]<font color="blue" size=5>Concept used</font>[/tex]: The sum of adjacent angles of a parallelogram is 180 degrees.
So, in above given figure
[tex] 2z+16+124=180 [/tex] (measures of adjacent angles)
[tex]2z+140=180 [/tex]
[tex] 2z=180-140 [/tex]
[tex]2z=40 [/tex]
[tex]z= 40/2 [/tex]
[tex]z= 20 [/tex]
HOPE IT IS USEFUL
25% of the students at school a got a score greater than 25 but less or an equal to 28
Answer:
28 >= 0.25x > 25
Step-by-step explanation:
25% of x
1) Greater than 25: 25%x > 25
2) Less than and equal to 28: 25%x <= 28
25%x = 25/100 * x = 0.25x
1 and 2:
28 >= 0.25x > 25
//I hope this is what you are looking for. Not sure it's right
Name the rule for each statement: (SSS, ASA, SAS, AAS) Hint: you may use some of the rules more than once. Two triangles are congruent if: a) each pair of corresponding sides is congruent b) two pairs of corresponding angles are congruent and a pair of corresponding sides are congruent c) two pairs of corresponding sides and the angles included between them are congruent d) If three sides of one triangle are congruent to three sides of a second triangle, e) If two angles and a non-included sides of each triangle are congruent
Answer:
a)SSS b)AAS c)SAS d)SSS e)AAS dont worry i passed this lesson with a 100% if i am wrong then come and kill me :) i am sure it is right
Step-by-step explanation:
Final answer:
The rules for triangle congruence based on the given statements are SSS, ASA, SAS, SSS, and AAS, which are applied when certain combinations of angles and sides are congruent in two triangles.
Explanation:
To name the rule for each statement given for triangle congruence, we can apply the following:
a) SSS (Side-Side-Side) Congruence Postulate: Each pair of corresponding sides is congruent.
b) ASA (Angle-Side-Angle) Congruence Postulate: Two pairs of corresponding angles and one pair of corresponding sides are congruent.
c) SAS (Side-Angle-Side) Congruence Theorem: Two pairs of corresponding sides and the angles included between them are congruent.
d) SSS (Side-Side-Side) Congruence Postulate: Three sides of one triangle are congruent to three sides of a second triangle.
e) AAS (Angle-Angle-Side) Congruence Theorem: Two angles and a non-included side of each triangle are congruent.
These rules are foundational in establishing triangle congruence and are applied based on different combinations of sides and angles of triangles.
Suppose the side lengths are multiplied by 2. Describe the change in the perimeter.
Answer:
The perimeter would then be squared
Step-by-step explanation:
Since each length is being multiplied by 2 the you have 2 of the same perimeters. So you just add them together or square it.