Answer:
10^6
Step-by-step explanation:
The reason is because 2x5 = 10 and then you add the exponents when multiplying, making it 10^8
draw the a concave hexagon with two pairs of congruent sides
Concave hexagon with two pairs of congruent sides is:
/\
/ \
/ \
/ \
/ \
/_____\
\ /
\ /
\ /
\ /
\/
How to draw a concave hexagon with two pairs of congruent sides?A hexagon is a six-sided polygon. A concave hexagon is a hexagon with at least one interior angle greater than 180 degrees.
We can start with a regular hexagon, which has six congruent sides and six interior angles of 120 degrees each.
We can then extend two opposite sides of the regular hexagon outwards to create two pairs of congruent sides. The extended sides should not be parallel to each other, but rather at an angle, so that the resulting hexagon is concave.
Here is an example of a concave hexagon with two pairs of congruent sides:
/\
/ \
/ \
/ \
/ \
/_____\
\ /
\ /
\ /
\ /
\/
In this hexagon, sides AB and CD are congruent, and sides EF and GH are also congruent. However, the angles at vertices A and H are greater than 180 degrees, making this a concave hexagon.
Learn more about congruent sides.
brainly.com/question/28911587
#SPJ11
AT&T charges $70.00 a month plus $10 per gig of data. Sprunt charges $80.00 a month plus $5 per gig of data. Which equation could be used to determine when the two cell phone plans will be equal?
Answer:
AT&T charges $70.00 a month plus $10 per gig of data. Sprunt charges $80.00 a month plus $5 per gig of data. Which equation could be used to determine when the two cell phone plans will be equal?
Step-by-step explanation:
AT&T's plan would be less expensive than the Sprunts because they have different charges a month
Hope this helps
A rectangle pool is 11 feet wide and 12 feet long. The owner of the pool will create a rectangular walkway, 3 feet wide, around the pool. What is the area, in square feet, of the walkway?
The area of the walkway around swimming pool is 78 square feet.
The outer sides of the walkway will have a length of 12 feet and the breadth will be 11 feet.
The area of the pool along without the walkway will be 12 X 11 = 132 square feet.
The outer sides of the walkway will have a length of 15 feet and the breadth will be 14 feet after the owner create the walkway.
The area of the pool along with the walkway will be 15 X 14 = 210 square feet.
Therefore ,
area of the walkway will be:-
= 210 - 132
= 78 square feet.
so, the area of the walkway around swimming pool is 78 square feet.
Learn more about area here :-
https://brainly.com/question/27683633
#SPJ4
A hypothesis test is to be performed for a population mean. Which of the following does the probability of a type II error not depend on?
options:
The significance level
The sample mean
The sample size
The true (population) mean
When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.
A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.
As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.
The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.
So, the correct answer is B
Learn further about probability at
brainly.com/question/17960337
#SPJ11
Parametrize the portion of the cone z- V8x2 + 8y2 with 0 s zs V8. (Your instructors prefer angle bracket notation>for vectors.)
The parametric equations for the portion of the cone are: r(t) = t, θ(t) = t, z(t) = 2√2t where t is a parameter that ranges from 0 to √8.
To parametrize the portion of the cone z - √(8x^2 + 8y^2) with 0 ≤ z ≤ √8, we can use cylindrical coordinates. Let's denote the parameters as r, θ, and z.
We know that x = rcosθ, y = rsinθ, and z = z.
Substituting these values into the equation of the cone, we have:
z - √(8(rcosθ)^2 + 8(rsinθ)^2) = 0
Simplifying the expression inside the square root, we get:
z - √(8r^2(cos^2θ + sin^2θ)) = 0
z - √(8r^2) = 0
z - 2√2r = 0
From this equation, we can express z in terms of r as:
z = 2√2r
Know more about parametric equations here:
https://brainly.com/question/28537985
#SPJ11
PLEASE HELP ITS DUE IN AN HOUR
solve the inequality
5x > 15
Answer:
x > 3
Step-by-step explanation:
5x > 15
Divide both sides by 5;
x > 3
find the product of reciprocal of 9/11 and the additive inverse of -18/55
Answer:
\(\frac{2}{5}\)
Step-by-step explanation:
The reciprocal of \(\frac{9}{11}\) is \(\frac{11}{9}\)
The additive inverse of - \(\frac{18}{55}\) is \(\frac{18}{55}\) , then
\(\frac{11}{9}\) × \(\frac{18}{55}\) ( cancel 11 and 55 by 11 and 9 and 18 by 9 )
= 1 × \(\frac{2}{5}\)
= \(\frac{2}{5}\)
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. Point J is plotted so that GH is the hypotenuse of the right triangle formed by joining the three points. What are the coordinates of point J? Select all that are possible.
(-3,-8)
(5,-7)
(-3,8)
(-5,7)
(3,8)
(5,7)
(-5,-7)
(3,-8)
(question 5.)
The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.
Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ1
an emergency room nurse believes the number of upper respiratory infections is on the rise. the emergency room nurse would like to test the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases. using the computed test statistic of 2.50 and the critical value of 2.33, is there enough evidence for the emergency room nurse to reject the null hypothesis?
To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.
In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.
Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.
Learn more about statistic here
https://brainly.com/question/15525560
#SPJ11
There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.
Explanation:Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.
It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.
Learn more about the Null Hypothesis here:https://brainly.com/question/32386318
#SPJ11
PLEASE HELP A.S.A.P.!
Solve the equation:
|x-1|+|x-2|=3
Unit 2: Logic & Proof
Homework 2: Compound Statements
on using disjunctive syllogism to derive Q from the second premise and the derived value of A. if P is true, then Q must also be true..
In logic, a compound statement is made up of two or more simple statements, known as premises or assumptions, that are combined using logical operators such as "and," "or," and "not." To prove a compound statement, we use rules of inference to derive a conclusion based on the given premises.
In the first proof question, we are given three premises: P, P or R, and not S or A. We need to prove the statement Q using these premises. To do so, we use the disjunctive syllogism rule, which states that if one of two disjunctive statements is false, then the other must be true. By assuming ~P, we derive ~S from the third premise using the rule of disjunction. Then, using modus ponens, we derive A from the assumption of ~P and the third premise. Finally, we use disjunctive syllogism to derive Q from the second premise and the derived value of A.
In the second proof question, we are given three premises: not P or S, not S, and R or Q. We need to prove the statement P implies Q using a conditional world proof. We assume P is true and derive S using the first premise. Using the second premise and modus tollens, we derive not R. Finally, using disjunctive syllogism, we derive Q from the third premise and the derived value of not R. Therefore, we show that if P is true, then Q must also be true..
To know more about disjunctive syllogism. click here:
brainly.com/question/22173899
#SPJ4
your gym membership cost $33 per month after an initial membership fee. you paid a total of $228 after 6 months. writer an equation that gives the cost as a function of the length of your gym membership (in months). find the total cost after 9 months
Answer:
what i did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9-month total cost of $327
Step-by-step explanation:
cost = $33 per month + fee
1. c(m) = 33m + f
33(6) + f = 228
198 + f = 228
f = $30 membership fee
c(m) = 33m + 30
2. at 9 months: 33(9) + 30 = $327
hopefully this helps :)
have a nice day !!
What is measure of the missing angle? HELP
Answer:
x = 31
So 2x-7 = 55
x + 4 = 35
Step-by-step explanation:
\(2x-7+x+4=90\\3x-3=90\\3x=93\\x=31\)
Omar owns a sandwich shop, and his best selling sandwich is the BLT. When making BLT sandwiches, it takes 3/4 of a pound of bacon to make 4 sandwiches. He uses pounds 1 1/20of bacon for every 2 tomatoes used and 5 tomatoes for every full head of lettuce used.
If Omar is making enough BLT sandwiches to use 2 full heads of lettuce, then he is going to use
pounds of bacon and will make a total of
BLT sandwiches.
Answer: 5 1/4 pounds of bacon and make a total of 7 BLT sandwiches.
To determine the amount of bacon Omar will use and the number of BLT sandwiches he will make, we need to follow these steps:
1. Calculate the amount of bacon used per sandwich:
- It takes 3/4 of a pound of bacon to make 4 sandwiches.
- Divide 3/4 pound by 4 to find the amount of bacon used per sandwich: 3/4 ÷ 4 = 3/16 pound of bacon per sandwich.
2. Calculate the amount of bacon used for 2 full heads of lettuce:
- We know that 5 tomatoes are used for every full head of lettuce.
- Since Omar is using 2 full heads of lettuce, he will need 2 * 5 = 10 tomatoes.
- For every 2 tomatoes used, Omar uses 1 1/20 pounds of bacon.
- Divide the 10 tomatoes by 2 to find the number of times Omar needs to use 2 tomatoes: 10 ÷ 2 = 5.
- Multiply 5 by 1 1/20 to find the amount of bacon used for 2 full heads of lettuce: 5 * 1 1/20 = 5 5/20 = 5 1/4 pounds of bacon.
3. Calculate the number of BLT sandwiches made:
- Divide the total amount of bacon used (5 1/4 pounds) by the amount of bacon used per sandwich (3/16 pound): (5 1/4) ÷ (3/16) = (21/4) ÷ (3/16).
- Invert the divisor and multiply: (21/4) * (16/3) = 21 * 16 / 4 * 3 = 84 / 12 = 7.
- Omar will make a total of 7 BLT sandwiches.
Therefore, Omar will use 5 1/4 pounds of bacon and make a total of 7 BLT sandwiches.
PLSS helpppp:)))))))))))))
-8 = 6 - 14
use the number line:
go to 6 on the number line and count back until you reach -8; you should count 14
since it's a -8 that means the bigger number also has to be negative. between 6 and 14, 14 is bigger so it becomes a negative number
so your answer is -14
HELP!!!!! I AM DESPERATE!!!!!
Answer:
1. Linear
2. Linear
3. Non-Linear
4. Non-Linear
5. Linear
6. Non-Linear
7. Linear
8. Non-Linear
9. Linear
The code should be LLNNLNLNL
seth put $500 in his savings account, which earns a earns a simple interest rate of 4%
A. use the simple interest equation ( I=Prt ) to find out how much interest seth earns after 6 years.
B. now find out how much interest seth wold earn if he were to earn 7% compound interest for 6 years
Someone help me out :)
Answer: sorry i dont know this
Step-by-step explanation:
Is 82 inches grater than 5feet and 10 inches
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
A triangle with side lengths of 200 meters, 300 meters, and 250 meters is shown. A surveyor measures the lengths of the sides of a triangular plot of land. What is the measure of the angle of the triangular plot at which the surveyor stands? Approximate to the nearest degree. Cos–1(0. 75) = 41° cos–1(0. 125) = 83° cos–1(0. 563) = 56° cos–1(0. 15) = 89°.
The measure of the angle at which the surveyor stands is approximately 41 degrees.To find the measure of the angle at which the surveyor stands, we can use the cosine rule.
The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles. In this case, we have a triangle with side lengths of 200 meters, 300 meters, and 250 meters. Let's denote the angles opposite these sides as A, B, and C, respectively. Using the cosine rule, we have: cos(A) = (b^2 + c^2 - a^2) / (2bc). Let's calculate the cosine of angle A: cos(A) = (300^2 + 250^2 - 200^2) / (2 * 300 * 250) = (90000 + 62500 - 40000) / (150000) = 112500 / 150000 = 0.75. To find the measure of angle A, we can take the inverse cosine (cos^−1) of 0.75: A ≈ cos^−1(0.75) ≈ 41°.
Therefore, the measure of the angle at which the surveyor stands is approximately 41 degrees.
To learn more about cosine rule click here: brainly.com/question/28716982
#SPJ11
PLEASE HELP!!!!!!!!!!!!!!!!
Can you help me with this please? because I am confused
Answer:
Make a line a bit close to -1
Step-by-step explanation:
-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1
No Links!! A vinyl record has a circumference of 78.5 cm. What is its area? Use 3.14 for pi and round to the nearest square cm. please dont just give me 3.14 This is 40% of my grade and i'd really appreciate if someone could help me.
Answer:
\( \displaystyle A _{ \text{vinyl record }} \approx 490 {cm}^{2} \)
Step-by-step explanation:
we are given the circumstances of a vinyl record
we want to figure out the area
in order to do so we should figure out redious first
recall that,
\( \displaystyle \rm C = 2\pi r\)
given that, C=78.5
thus substitute:
\( \displaystyle \rm 78.5= 2\pi r\)
divide both sides by 2π:
\( \displaystyle r = \frac{78.5}{2\pi} \)
we have figured out r now we'll figure out the area
remember that,
\( \displaystyle A _{ \text{circle}} = \pi {r}^{2} \)
substitute the value of r
\( \displaystyle A _{ \text{vinyl record }} = \pi { \bigg(\frac{78 .5}{2\pi} \bigg)}^{2} \)
by using calculator we acquire
\( \displaystyle A _{ \text{vinyl record }} = 490 {cm}^{2} \)
The ratio of the radii of two distinct spheres is 1:2. what is the ratio of their respective volumes?
The ratio of the Volume of the sphere whose radius are in ratio 1:2 is 1:8.
A sphere is a three dimensional figure, it is made of set of points that are all equidistant from the center.
The ratio of radii of two spheres is 1:2
Volume of a sphere is given by
V = (4/3) πr³
The ratio of two sphere is given by
V₁ / V₂ = (r₁/r₂)³
V₁ / V₂ = (1/2)³
V₁ / V₂ = 1/8
Therefore, the ratio of the Volume of the sphere whose radius are in ratio 1:2 is 1:8.
Learn more about sphere here
brainly.com/question/12390313
#SPJ4
a) Write down all the factors of 120.
Answer:
Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 and 120
Prime Factors:
2, 3,and 5
Step-by-step explanation:
Factors are: numbers that can be multiplied together to get a certain number
Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.
What is the quotient of 2.538 x 109 and 2.7 x 102 expressed in scientific notation?
Question
What is the quotient of 2.538 x 109 and 2.7 x 102 expressed in scientific notation?
Answer:
Step by step explanation:
2.538 x 109
2.538
109
————×
2142
0000
2538
————+
276.642
2.7 x 102
2.7
102
————×
275,4
276.642 + 275,4 =276.917,4
sorry if wrong
Hector is training for a race that is 10 kilometers long. On Saturday he ran 2. 5 km. He plans to add 0. 5 km to his distance every Saturday. Hector's Calculations: 2. 5 0. 5 = 3. 0 6. 5 0. 5 = 7. 0 3. 0 0. 5 = 3. 5 7. 0 0. 5 = 7. 5 3. 5 0. 5 = 4. 0 7. 5 0. 5 = 8. 0 4. 0 0. 5 = 4. 5 8. 0 0. 5 = 8. 5 4. 5 0. 5 = 5. 0 8. 5 0. 5 = 9. 0 5. 0 0. 5 = 6. 0 9. 0 0. 5 = 9. 5 6. 0 0. 5 = 6. 5 9. 5 0. 5 = 10. 0 The equation equivalent to Hector’s calculations is 2. 5 0. 5x = 10. Use either of these methods to determine how many weeks it will take Hector to reach his goal of a 10 kilometer run. It will take Hector to reach 10 kilometers.
Hector's goal is to reach a 10-kilometer run, and he plans to increase his distance by 0.5 kilometers every Saturday. By analyzing Hector's calculations, we can determine that the equation equivalent to his calculations is 2.5 + 0.5x = 10, where x represents the number of weeks. Using this equation, we can find the number of weeks it will take Hector to reach his goal of a 10-kilometer run, which is 14 weeks.
Hector's calculations show a pattern of adding 0.5 kilometers to his distance each week. We can express this pattern using the equation 2.5 + 0.5x = 10, where x represents the number of weeks. The left side of the equation represents Hector's total distance covered, while the right side represents his goal of running 10 kilometers.
To find the number of weeks it will take Hector to reach his goal, we solve the equation for x. Rearranging the equation, we have:
0.5x = 10 - 2.5
0.5x = 7.5
Dividing both sides of the equation by 0.5:
x = 7.5 / 0.5
x = 15
Therefore, it will take Hector 15 weeks to reach a 10-kilometer run.
To learn more about equation click here : brainly.com/question/29538993
#SPJ11
Which of the following is the best description for this pair of angles?
Answer:
Acute
Step-by-step explanation:
Because angles which are less than 90 degrees are called acute angles
Since it is less than 90 degrees the right answer is acute
There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
suppose that salaries for recent graduates of one university have a mean of $24,800 with a standard deviation of $1100 . using chebyshev's theorem, what is the minimum percentage of recent graduates who have salaries between $21,500 and $28,100 ? round your answer to one decimal place.
The minimum percentage of recent graduates who have salaries between $21,500 and $28,100, based on Chebyshev's theorem, is 75%.
According to Chebyshev's theorem, at least (1 - 1/k^2) of the data falls within k standard deviations of the mean, where k is any positive number greater than 1. In this case, we want to find the percentage of data within the range of $21,500 and $28,100, which is two standard deviations away from the mean.
To calculate the minimum percentage, we need to determine the value of k. Since we want to capture at least 75% of the data (the minimum percentage), we can set \(K^{2}\) = 1 / (1 - 0.75). Solving for k, we find k = 2.
Learn more about Chebyshev's theorem here:
https://brainly.com/question/30584845
#SPJ11
What is the inverse operation of addition?
Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.
Step-by-step explanation: