Answer:
PA = PB
Step-by-step explanation:
The radius OA = OB
so triangles OPA is congruent to OPB because OA = OB, OP is the same side, angle OPA = angle OPB = 90o
therefore PA = PB
Last week, the price of bananas at a grocery store was $0. 80 per pound.
This week, pears at the same grocery store are on sale at 25% discount.
What is the total price of 5. 5 pounds of bananas this week at the grocery
store?*
How do you solve this
Answer:
.2 maybe but I don't know how to do this
Tell whether each of the following is a function.
1. Which of the following could be a function? Select three that apply.
A {(2,5),(4, -3), (-2,1),(1,6)}
B {(1,3), (2, 1), (3,5), (1, -3)}
C {(-1, 1), (0,0), (1, 1), (-2,2)}
D {(0,0), (2,4), (2,-4), (3,9)}
E {(-2,8),(-3,-27),(-1,1),(3,27)}
Answer:
A, C, E
Step-by-step explanation:
A function cannot have an x-value that produces more than y-value. Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.
A - This could be a function because it follows the above rule.
B - This can not be a function because it has an x-value that has two y-values.
C - This could be a function because it follows the rule.
D - This can not be a function because it has an x-value that has two y-values.
E - This could be a function because it follows the rule.
16. The height of an office building is 623 feet. Express this height
the nearest metre using 1 m = 3.281 feet.
Answer:
190m is 623.39ft
189m is 620.109
How would I solve 8n-5=139?
Answer:
18
Step-by-step explanation:
8n=144
divide the both side of the equation by 8
and you will get
n=18
Answer:
8n-5=139
Add 5 to each side.
8n=144
Divide each side by 8.
n=18
Inayah claims that the pool is draining at a rate of 1. 36% per hour
The pool is draining at a rate of 1.36% per hour according to Inayah's claim.
What is the claimed rate at which the pool is draining?According to Inayah's claim, the pool is experiencing a draining at a rate of 1.36% per hour. This means that for every hour that passes, the pool's water level decreases by 1.36% of its total volume.
Understanding the rate at which a pool is draining is essential for monitoring and managing water levels. If the rate of drainage is accurate, it can help estimate how long it would take for the pool to reach a certain level or completely drain. Additionally, it aids in determining the necessary actions to maintain the pool's water balance and prevent potential issues such as overflow or inadequate water supply.
It is crucial to verify the accuracy of the claim by monitoring the pool's water level over a specific period. This can be done by measuring the change in water volume or using other reliable methods to ensure the drainage rate aligns with the claimed percentage.
Learn more about draining at a rate
brainly.com/question/18011570
#SPJ11
Find the arc length for the curve y = 3x^2 − 1/24 ln x taking p0(1, 3 ) as the starting point.
To find the arc length for the curve y = 3x² − (1/24) ln x with the starting point p0(1, 3), we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the desired interval. The resulting value will give us the arc length of the curve.
To find the arc length, we need to integrate the expression √(1 + (dy/dx)²) with respect to x over the given interval. In this case, the given function is y = 3x²− (1/24) ln x. To compute the derivative dy/dx, we differentiate each term separately. The derivative of 3x² is 6x, and the derivative of (1/24) ln x is (1/24x). Squaring the derivative, we get (6x)² + (1/24x)².
Next, we substitute this expression into the arc length formula:
∫√(1 + (dy/dx)²) dx. Plugging in the squared derivative expression, we have ∫√(1 + (6x)² + (1/24x)²) dx. To evaluate this integral, we need to employ appropriate integration techniques, such as trigonometric substitutions or partial fractions.
By integrating the expression, we obtain the arc length of the curve between the starting point p0(1, 3) and the desired interval. The resulting value represents the distance along the curve between these two points, giving us the arc length for the given curve.
Learn more about derivative here: https://brainly.com/question/29144258
#SPJ11
(4pt) It is believed that the mean height of high school students who play basketball on the school team is 73 inches with a standard deviation of 1.8 inches. A random sample of 40 players is chosen: The sample mean was 71 inches, and the sample standard deviation was 1.5 years. Do the data support the claim that the mean height is less than 73 inches? The p-value is almost zero. State the null and alternative hypotheses and interpret the p- value_
We reject the null hypothesis and conclude that the data supports the claim that the mean height of high school students who play basketball on the school team is less than 73 inches.
Null Hypothesis: The mean height of high school students who play basketball on the school team is 73 inches or greater.
Alternative Hypothesis: The mean height of high school students who play basketball on the school team is less than 73 inches.
We are given a sample size of 40 players with a sample mean of 71 inches and a sample standard deviation of 1.5 inches.
To test our hypothesis, we will use a one-sample t-test with a significance level of 0.05.
Using a t-distribution table with 39 degrees of freedom (n-1), we find the critical t-value to be -1.686.
We calculate the test statistic as:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
t = (71 - 73) / (1.5 / sqrt(40)) = -4.38
Using a t-distribution table with 39 degrees of freedom, we find the p-value to be almost zero (less than 0.0001).
Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that the data supports the claim that the mean height of high school students who play basketball on the school team is less than 73 inches.
To learn more about hypothesis visit:
https://brainly.com/question/11560606
#SPJ11
28 ft
20 ft
0.5
Find the area
Answer:
280 square feet
Step-by-step explanation:
Mason used a 30% coupon to buy a new computer. After the discount, the cost of the computer was $728.
Determine the original price of the computer. Show your work.
Need help!!!
19 x 4 =
Answer:
76
Step-by-step explanation:
Hope this helps!
Answer:
76
Step-by-step explanation:
Could someone also help me out on this please?
Answer:
A
Step-by-step explanation:
When cross multiplied they equal the same thing
Solve for x. 4−(2x+4)=5 A x=−52 B x=6 C x=32 D x=−10
Answer:
x = -5/2
Step-by-step explanation:
4−(2x+4)=5
Distribute the minus sign
4 - 2x -4 = 5
-2x =5
Divide by -2
-2x/-2 = 5/-2
x = -5/2
Answer:
x=-5/2
Step-by-step:
First we multiply -(2x+4) = -2x -4
Now the equation is 4-2x-4 = 5
Combine like terms.
4-4=0
-2x = 5
Divide both sides by -2
Therefore your answer is -5/2
Hope this helps!
In spherical geometry, which of the following statements is true?
A. There is no line that passes through the endpoints of a diameter of a
sphere.
B. There is only one line that passes through the endpoints of the diameter of
a sphere.
C. There are infinitely many points that pass through the endpoints of the
diameter of a sphere.
D. There are infinitely many lines that pass through two points on a sphere that
are not the endpoints of a diameter.
Answer:
A
Step-by-step explanation:
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
Given that,
In spherical geometry, which of the following statements is true is to be determined.
A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.
A.
False, because there are two endpoints of the diameter so a line minimum required two to get constituents.
B.
True, because online one line can constitute the two points, not more than one line can.
Similarly,
C and D are false.
There is only one line that passes through the endpoints of the diameter of a sphere. Option B are correct.
learn more about lines here:
brainly.com/question/2696693
#SPJ5
How many terms are there in the expression 5xy² 35xy²?
There are two terms in the given expression 5xy²+ 35xy².
What is meant by term?
Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.
What is an example of a term?
It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.
There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.
To learn more about term visit the link:
https://brainly.com/question/12786767
#SPJ4
4. What steps can be taken to find the product of 0.92 and 1,000?
Move the decimal point 1 place to the right and annex 1 zero
b. Move the decimal point I places to the right and annex 2 zeros.
Move the decimal point 3 places to the right and annex 1
d. Move the decimal point 3 places to the right and annex 2 zeros.
Answer: B
Step-by-step explanation:
alice ran 8 miles over the weekend . how many kilometers did she run? 1 mile = 1.6 kilometers
let k(x) be piecewise function such that k(x) = sinx/x if x ≠ 0, 0 if x=0. let h(x) = 1+x from domain (-infinity, 2), and also let h(x) = -1+x from domain [1, infinity)
what would be limit as x approaches 0 of k(x)-h(x)/k(x) ?
a 0
b 1
c 2
Answer:
a. 0
Step-by-step explanation:
You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.
LimitSince we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.
The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...
lim[x→0] (k(x) -1)/k(x)
The limit of k(x) as x → 0 is 1, so this becomes ...
lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0
Sin(x)/xAt x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1
The fact that k(0) = 0 is irrelevant with respect to this limit.
__
Additional comment
We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.
<95141404393>
Alice has been in a defined-contribution pension scheme since she was 35 and will retire in one year’s time at age 66. Her salary is currently £55,000. Throughout her enrolment in the scheme, she has paid in 8% of salary, and this has been topped up by employer contributions and tax relief worth 4% of salary. She will also qualify for a state pension of £9,000 per year.
If Alice uses her whole pension fund to buy an index-linked annuity, how much income will she receive in her first year of retirement?
To calculate the income Alice will receive in her first year of retirement, we need to consider her pension fund, the state pension, and the annuity rates.
Given: Alice's salary: £55,000
Her contributions to the pension scheme: 8% of salary
Employer contributions and tax relief: 4% of salary
Retirement age: 66
State pension: £9,000 per year
First, let's calculate Alice's pension fund. She has been in the scheme from age 35 to 66, which is a total of 31 years. During this period, she has made contributions of 8% of her salary, topped up by 4% from the employer and tax relief. So, her annual contributions are (8% + 4%) of £55,000 = £5,500.
Her total pension fund would be £5,500 x 31 = £170,500.
Next, let's consider the annuity rates. Annuity rates determine the income that can be purchased with the pension fund. The rates vary based on factors such as age, gender, and prevailing market conditions.
Using the annuity rates, Alice can calculate the income she will receive from her pension fund. Let's assume the annuity rate is 5% per year. So, the income from her pension fund would be £170,500 x 5% = £8,525.
Finally, we add the state pension to calculate Alice's total income in her first year of retirement:
Total income = Pension fund income + State pension
Total income = £8,525 + £9,000 = £17,525.
Therefore, Alice will receive £17,525 as her income in the first year of retirement.
Learn more about tax here: brainly.com/question/32540669
#SPJ11
can soomeone plz help me
On February 26, Berkshire Hathaway closed at $197,690 per share. One year earlier, one share closed at $223,970. What was an approximate one-year percent change?
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Answer:
Step-by-step explanation:
Answer:
13%
Step-by-step explanation:
formula : old number - New number/ old number x 100
So 197,690 - 223,970 / 197,690 x 100
which is about 13% percent after calculation
or 13.2935403915% to be exact
Q1:
Q2:
A person claims they can toss a baseball on top of the R.F.
Mitte Building. Not to be outdone, his buddy
boasts he can throw a baseball on top of the tallest building in
San Marcos.
Do you be
I do not believe either of them because of the heights of both the R.F. Mitte Building and the tallest building in San Marcos.
Why is the claim implausible ?The height that a projectile can reach in ideal conditions (i.e., without air resistance) can be estimated by the physics formula for kinetic and potential energy equivalence:
mgh = 1/2mv²
The R.F. Mitte Building is 100 feet tall, and the tallest building in San Marcos is 150 feet tall. The velocity of a baseball thrown at the top of these buildings would need to be at least 44.27 m/s and 54.22 m/s, respectively, in order for it to reach the top.
This is a very high velocity, and it is unlikely that a person could throw a baseball with that much force. The fastest recorded pitch in Major League Baseball was by Aroldis Chapman at 105.1 mph, which is approximately 47 m/s.
Therefore, while the claim to throw a ball on top of the R.F. Mitte Building might be achievable by a person in excellent physical condition but the claim to throw a baseball on top of the tallest building in San Marcos seems impossible.
Find out more on baseball at https://brainly.com/question/24767211
#SPJ1
Full question is:
A person claims they can toss a baseball on top of the R.F. Mitte Building. Not to be outdone, his buddy boasts he can throw a baseball on top of the tallest building in San Marcos.
Do you believe either of them and why?
Solve the equation:
10 In(100) – 3 = 117
Answer:
x = e^12/100
Step-by-step explanation:
Solve for x over the real numbers:
10 ln(100 x) - 3 = 117
Add 3 to both sides:
10 ln(100 x) = 120
Divide both sides by 10:
ln(100 x) = 12
Cancel logarithms by taking exp of both sides:
100 x = e^12
Divide both sides by 100:
Answer: x = e^12/100
Greg earned $45 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns. m over
m over 2 equals 45
2m = 45
m + 2 = 45
m − 2 = 45
Answer:
\(2m=45\)
Step-by-step explanation:
He earned twice as much washing cars, which is \(2m\). This is given to be equal to 45.
Given y = -7x + 7, the y-intercept is
Answer:
The y-intercept is 7
Step-by-step explanation:
y = slope(x) + y-intercept
If it takes 5 machines 5 minutes to make 5 widgets, how long would it take 100 machines to make 100 widgets?
A. 1 minute
B. 5 minutes
C. 10 minutes
D. 15 minutes
E. 100 minutes
In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t. (-√65/9, -4/9) Find cot t. (4/7, -√33/7) Find csc t. (5/8, √39/8) Find tan t.
The value of the trigonometric functions are:
cot(t) = √65/4
csc(t) = 1
tan(t) = √39/5
We have,
To find the trigonometric functions of t using the given points on the unit circle, we can use the relationships between the coordinates of the point P = (x, y) and the trigonometric functions.
Let's calculate each trigonometric function step by step:
To find cot(t), we need to find the reciprocal of the tangent function.
We have the point P = (-√65/9, -4/9) on the unit circle.
Since cot(t) = 1/tan(t), we can find tan(t) by taking the ratio of the
y-coordinate to the x-coordinate:
tan(t) = y / x = (-4/9) / (-√65/9) = 4/√65
Therefore, cot(t) = 1/tan(t) = √65/4.
To find csc(t), we need to find the reciprocal of the sine function.
Using the point P = (4/7, -√33/7), we can find the hypotenuse of the right triangle formed by the point P on the unit circle.
The hypotenuse is the distance from the origin to the point P, which is the square root of the sum of the squares of the coordinates:
hypotenuse = √((4/7)² + (-√33/7)²) = √(16/49 + 33/49) = √(49/49) = 1
Therefore, csc(t) = 1/sin(t) = 1/hypotenuse = 1/1 = 1.
To find tan(t), we can directly use the ratio of the y-coordinate to the
x-coordinate of the point P = (5/8, √39/8) on the unit circle:
tan(t) = y / x = (√39/8) / (5/8) = √39/5.
Thus,
The value of the trigonometric functions are:
cot(t) = √65/4
csc(t) = 1
tan(t) = √39/5
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ4
30 points help me ASAP
Answer:
Functions: 2, 3, 6, 7, 9
Non-functions: 1, 4, 5, 8, 10
Answer:
2,3,6,7,9 and or, 1,4,5,8,10
Step-by-step explanation:
Lanna's dad was teaching her about the stock market. He has 100 shares of Company A stock
valued at $45 a share and 250 shares of Company B stock valued at $22 a share. How much is
his stock worth?
Answer: $10,000
Step-by-step explanation:
Lanna's dad stock worth will be the value of the total shares in both company A and company B.
Value of stock in company A = 100 × $45 = $4500
Value of stock in company B = 250 × $22 = $5500
Total stock worth = $4500 + $5500 = $10,000
ILL GIVE BRAINLEST!
Probably a proccess look it you should be able to find it on the web. You got this!
Answer:
the 2nd one is the 2nd one the 1st one is the 3rd one and the last one is the 1st one brainlest pleaze
Step-by-step explanation:
a circle has a circumference of 615.44615.44615, point, 44 units. what is the radius of the circle? use 3.14 for \piπpi and enter your answer as a decimal. units
Answer:
98 units.
Step-by-step explanation:
Circumference = 2 * pi * radius
615.44 = 2 * 3.14 * r
r = 615.44 / (2 * 3.14)
=2 * 3.14
= 98 units.
PLEASE HELP ASAP!!! I'LL MARK BRAINLIEST TO RIGHT ANSWER!!!
The solution of the inequality is, x ∈ (- ∞, 5) ∪ (10, ∞)
Where, x represent the number of totts.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
My friend Raw has either no more than 5 toots and more than 10 toots.
Now, Let number of toots = x
Hence, We get;
⇒ x < 5
And, x > 10
Thus, The solution of the inequality is,
⇒ x ∈ (- ∞, 5) ∪ (10, ∞)
Learn more about the inequality visit:
https://brainly.com/question/25944814
#SPJ1