The quotient of the expression (7¹⁸/7⁻⁹) expressed as a power of 7 is 7 ²⁷.
What is the quotient of the expression?The quotient of the expression is calculated as follows;
When you divide two numbers with the same base, you subtract the exponents of the base. Using this rule, we can simplify the expression as follows;
7¹⁸ / 7⁻⁹
= 7 ⁽¹⁸ ⁻ ⁻⁹⁾
= 7 ⁽¹⁸ ⁺ ⁹⁾
= 7 ²⁷
Therefore, the quotient of the expression (7¹⁸/7⁻⁹) is 7 ²⁷.
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Determine the first 5 terms and wheather it is arithmetic geometric or neither
iv) t = 2
t; = 3
W
1. = 31,-2 - 1,-1
Answer:
hola yo me llamo jimena
Step-by-step explanation:
ok yo pues no de que hablas me podrías
PLEASE HELP
Simplify the expression by combining like terms.
4 x + 3 − 2x + 5 − 2y
Answer:
2x+8-2y
Step-by-step explanation:
4x-2x+5+3-2y
2x+8-2y
Answer:
There you go!!
Step-by-step explanation:
4x - 2x - 2y + 3 + 5
how many students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval?
The number of students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval is 206
We need to calculate the number of students that should be polled
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by α = 1 - 0.99 = 0.01 and . And the critical value was found to be 2.58
Margin of error
\(ME = z\sqrt{\frac{p(1-p)}{n} } \\\)
On sunstituting and further calculation
n = 205.64
And rounded up we have that n=206
Therefore, the number of students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval is 206
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Determine if the ordered pair (6, 4) is a solution to the inequality
Answer:
\(\Large \boxed{\mathrm{Option \ D}}\)
Step-by-step explanation:
(6, 4)
x = 6 and y = 4
y > -1/2x + 7
Plug in the values to check if it is true.
4 > -1/2(6) + 7
4 > -3 + 7
4 > 4
This statement is false.
(6, 4) lies on the line.
The perimeter of a square dollhouse is 80 inches how long is each side
The Square has equall sides thus if we suppose that square has a side which is x inches then the Perimeter is :
\(perimeter = 4 \times x\)
Thus
\(80 = 4 \times x\)
Divide both sides by 4
\( \frac{80}{4} = \frac{4x}{4} \\ \)
\(20 = x\)
\(x = 20\)
Thus each side has a value of 20 inches .
The lunch room at Diane’s school has a perimeter of 300 feet. The length of the room is 85 feet. What is the width of the room?
Answer:
65
Step-by-step explanation:
2w+ 2l = 300
2w + 170=300
2w= 130
w=65
I have no clue how to do this
Answer:
$4
Step-by-step explanation:
We are told that Roxanne:
Has a checking account onlyUses online bankingUses the bank ATM once a monthUses a nonbank ATM twice a monthWe need to work out how much it costs for Roxanne to bank with each bank each month, then compare the total costs to see how much Roxanee could save if she switch from East Median to Jasmine bank.
Cost of monthly banking at East Medina Bank:
Checking account services = $6
Online banking = $5 (remember, she doesn't have a linked savings a/c)
ATM (1 use) = $1
nonbank ATM (2 uses) = $6
Total = $18
Cost of monthly banking at Jasmine Bank:
Checking account services = $10
Online banking = $4
ATM (1 use) = $0
nonbank ATM (2 uses) = $0
Total = $14
To calculate the money Roxanne could save by switching to Jasmine Bank, simply find the difference between the monthly costs:
Savings = $18 - $14 = $4
A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough. What is the ratio of teaspoons of sugar to one large coffee
Answer:
the ratio of teaspoons of sugar to one large coffee is 3: 1
Step-by-step explanation:
The computation of the ratio of sugar teaspoons to one large coffee is as follows:
Sugar teaspoons = 2 + 1 = 3
And, the one large coffee = 1
So, based on the above information
The ratio between them is
= 3:1
= 3 to 1
hence, the ratio of teaspoons of sugar to one large coffee is 3: 1
A car showroom has 6 blue cars (B),8 white cars (W) and 4 maroon cars (M). Two cars are sold. Draw a probability tree to represent this information. Determine the probability that: a) Both cars sold were white. b) No white car was sold.
The probability that no white car was sold is 10/18 × 9/17 = 15/34Answer: a) 14/51 b) 15/34.
A car showroom has 6 blue cars (B),8 white cars (W) and 4 maroon cars (M). Two cars are sold. The probability tree diagram to represent the given information is as follows:The probability that both cars sold were white:We have to find the probability of two white cars which are sold out of 18 cars. Therefore, the probability of choosing the first white car is 8/18.Then, the probability of choosing the second white car is 7/17 (as one car has already been taken out).Therefore, the probability of both cars sold were white is 8/18 × 7/17=14/51
The probability that no white car was sold:We have to find the probability of not choosing any white car while selling out of 18 cars. Therefore, the probability of choosing a car that is not white on the first go is 10/18.Then, the probability of choosing a car that is also not white on the second go is 9/17 (as one car has already been taken out).Therefore, the probability that no white car was sold is 10/18 × 9/17 = 15/34Answer: a) 14/51 b) 15/34.
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A restaurant manager states the number of customers that enter the
restaurant is equal to 3 times the number of people that buy a hotdog from
the hotdog cart plus 15.
The manager also states that the number of customers that enter their
restaurant is equal to 2 times the number of people that buy a hotdog from
the hotdog cart plus 60.
What number of people buying a hotdog from the hotdog cart across the
street makes the equation 3x +15 = 2x +60 true?
Answer:
Yes, that is true, and x=45.
Step-by-step explanation:
Yes, that's how you set up the equation I also listed the sets to solve it below:
3x+15=2x+60
-2x. -2x
--------------------
x+15=60
-15 -15
------------------
x=45
You can also plug it in to check your work.
3(45)+15=2(45)+60
135+15=90+60
150=150
write in simplest form
14a^2 / 24a
Answer:
The simplest form of \(\frac{14a^2}{24a}\) is \(\mathbf{\frac{7a}{12}}\)
Step-by-step explanation:
We need to write \(\frac{14a^2}{24a}\) in simplest form.
We know the exponent rule: \(\frac{a^m}{a^n}=a^{m-n}\)
Applying the rule:
\(\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}\)
The simplest form of \(\frac{14a^2}{24a}\) is \(\mathbf{\frac{7a}{12}}\)
Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!
Answer:
4
Step-by-step explanation:
4th one is the answer because 5 is an outlier in the set of data
Answer:
Option 4
Step-by-step explanation:
An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 rangeSolve for x:
1/2x + 10 = -2 + x
Answer: x = 24
Step-by-step explanation: coz I juss know
Answer:x=24
Step-by-step explanation:hope this helps!
What is greater? -10 or -31?
-10 is closer to zero therefore -10 is the answer
Answer:
-10 is greater than -31
Step-by-step explanation:
To compare numbers, place them on the number line. A number is greater than a number to its left.
<--------------+----------------------+-------+------------------------->
-31 -10 0
-10 is to the right of -31, so -31 is greater than -10.
prove that sin0/1+cos0 + 1+cos0/sin0 = 2 cosec 0
Answer:
Step-by-step explanation:
Question 5
1 pts
Find the volume of each sphere or hemisphere. Round the number to the nearest tenth
If necessary.
16.2 cm
IF (x^2 - 4) ÷ (X + 2) = x - 2, which polynomial should fill in the blank below?
(X + 2) x__=x^2-4
The expression by canceling out the factor of (x - 2) in the numerator and denominator.
To solve for the missing polynomial, we can start by rearranging the given equation:
(x^2 - 4) ÷ (x + 2) = x - 2
We can then multiply both sides by (x + 2) to eliminate the denominator:
x^2 - 4 = (x - 2)(x + 2)
Expanding the right-hand side using the distributive property, we get:
x^2 - 4 = x^2 - 4
We can see that both sides of the equation are equal, which means that any polynomial that we place in the blank will satisfy the given equation. However, we can simplify the expression by recognizing that the denominator (x + 2) is a factor of the numerator (x^2 - 4), which we can write as:
x^2 - 4 = (x - 2)(x + 2)
Therefore, we can fill in the blank with (x - 2) to obtain:
(x + 2)(x - 2) = x^2 - 4
This polynomial satisfies the given equation and also simplifies the expression by canceling out the factor of (x - 2) in the numerator and denominator.
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what is the x intercept of the line represented by the equation below 3x+6y=30
Answer:
(10,0)
Step-by-step explanation:
3x+6y=30
3x+6(0)=30
3x=30
x=10
Answer:
hmmm? well I guess I can solve for x in relation to y and vice versa
but to actually solve for x and y you will need another equation of x and y
3x=30+6y
x=10+2y=2y+10
-6y=30-3x
-2y=10-x
2y=-10+x=x-10
y=(1/2)x-5
well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of
Which expressions are equivalent to 2(4f+2g) ?
Answer:
B, C, D
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
2(4f + 2g) = 8f + 4g
C: 8f + 4g
D: 4(2f + g) = 8f + 4g
E: 4f + 4f + 4g = 8f + 4g
500 grams of quarters
Answer:
0.04409 quarter
Step-by-step explanation:
5/12(fraction) of a buundle of drinking straws are white. The rest are pink and purple. The Ratio of the number of pink straws to the number of purple straws is 3:4. There are 48 more white straws than pink straws. Find the total number of straws in the bundle.
P.S. Solve using ratio. ASAP pls.
Which arrow would most likely represent the phase change that involves the same amount of energy as arrow 1?
2
3
4
5
Answer:
arrow 4
Step-by-step explanation:
The amount of energy needed in the transformation from liquid to gas is equal to the gas to liquid transition.
Boiling is the mechanism by which a substance passes from the liquid phase to the gaseous form.
Like water diagram in phase:
Evaporisation is a method of phase shift in which the water transitions from a liquid to a gas (water vapour).
Condensation is the process of phase shift in which water transitions from a gas to a liquid, and the vapour becomes a cloud.
Answer:
4
Step-by-step explanation:
ya boy did the test
Currently you have two credit cards, h and i. Card h has a balance of $1,186. 44 and an interest rate of 14. 74%, compounded annually. Card i has a balance of $1,522. 16 and an interest rate of 12. 05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be?.
The balance increase for card i is $89.24 greater than the balance increase for card h. Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt)
Given, Card h has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually.
Card i has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Now, we can calculate the balance for both cards after three years using the compound interest formula: A = P(1 + r/n)^(nt),
where A = final amount, P = principal (initial balance), r = annual interest rate (as a decimal), n = number of times compounded per year, t = time (in years)
For card h,
A = 1186.44(1 + 0.1474/1)^(1*3)
A = 1883.99
For card i, A = 1522.16(1 + 0.1205/12)^(12*3)
A = 1973.23
Therefore, the balance for card i will have increased more than that of card h, and the difference in the increase is: 1973.23 - 1883.99 = 89.24
The balance increase for card i is $89.24 greater than the balance increase for card h. Hence, the required answer is card i.
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Working on Scientific Notations please help
Answer: The answer is scientific notation
Step-by-step explanation:
Lisa used 1/4 cup of milk in her muffin recipe. How can you write 1/4 as a decimal
Answer:
0.25
Step-by-step explanation:
Answer: 0.25
Step-by-step explanation: take 100 divide by 2 get 50 so divide by 2 get 25 make 25 a decimal and u get 0.25 ( hope this helps!)
if you walk for 1.5 hours at 3mph, how fast should you run during the next 0.5 hour to have an average speed of 4 mph
To have an average speed of 4 mph after walking for 1.5 hours at 3 mph, you would need to run at a speed of 9 mph during the next 0.5 hour.
Average speed is calculated by dividing the total distance traveled by the total time taken. In this scenario, you have walked for 1.5 hours at a speed of 3 mph, covering a distance of (1.5 hours) x (3 mph) = 4.5 miles.
To have an average speed of 4 mph over a total time of 2 hours (1.5 hours of walking + 0.5 hours of running), the total distance covered would need to be (2 hours) x (4 mph) = 8 miles.
Since you have already walked 4.5 miles, the remaining distance to cover in the next 0.5 hour (30 minutes) would be 8 miles - 4.5 miles = 3.5 miles.
To find the required speed during the running phase, divide the remaining distance by the time: (3.5 miles) / (0.5 hours) = 7 mph.
Therefore, to have an average speed of 4 mph, you would need to run at a speed of 9 mph during the next 0.5 hour.
To achieve an average speed of 4 mph after walking for 1.5 hours at 3 mph, you would need to run at a speed of 9 mph during the next 0.5 hour. This calculation considers the total distance traveled and the total time taken to determine the required running speed.
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suppose iq scores are normally distributed with μ = 100 and σ = 15. what percent of iq scores are between 85 and 130?
If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, we can use the normal distribution properties to find the percentage of IQ scores between 85 and 130.
Specifically, we can standardize the scores and use a normal distribution table or calculator to find the area under the curve between the z-scores corresponding to 85 and 130.To find the percentage of IQ scores between 85 and 130, we first need to standardize the scores by subtracting the mean and dividing by the standard deviation. This gives:
z1 = (85 - 100) / 15 = -1.00
z2 = (130 - 100) / 15 = 2.00
We can then use a normal distribution table or calculator to find the area under the curve between these two z-scores. For example, using a standard normal distribution table, we can find that the area to the left of z = -1.00 is 0.1587 and the area to the left of z = 2.00 is 0.9772. Therefore, the area between these two z-scores is:
0.9772 - 0.1587 = 0.8185
This means that approximately 81.85% of IQ scores are between 85 and 130. Alternatively, we can use a normal distribution calculator to find the same result. For example, using an online calculator, we can input the mean (100), standard deviation (15), and the lower and upper limits (85 and 130) and obtain a probability of 0.8185, or 81.85%.
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Find the value of x in each figure.
Answer:d
Step-by-step explanation:
In the image m || n || p.
Given ∠10 = 2x + 70
∠7 = 5x – 20
Find m∠3.
Given:
In the given figure \(m\parallel n\parallel p\).
\(m\angle 10=2x+70\)
\(m\angle 7=5x-20\)
To find:
The \(m\angle 3\).
Solution:
If a transversal line intersect two parallel lines, then the alternate exterior angles are equal.
\(m\angle 7=m\angle 10\) (Alternate exterior angle)
\(2x+70=5x-20\)
\(70+20=5x-2x\)
\(90=3x\)
Divide both sides by 3.
\(\dfrac{90}{3}=\dfrac{3x}{3}\)
\(30=x\)
Now,
\(m\angle 3=m\angle 7\) (Corresponding angles)
\(m\angle 3=5x-20\)
\(m\angle 3=5(30)-20\)
\(m\angle 3=150-20\)
\(m\angle 3=130\)
Therefore, the measure of angle 3 is 130 degrees.
Your first job as a new engineer is to estimate the cost of a new 3000−ft
2
heat exchange system for a plant retrofit. Your company paid $75,000 for a 1200- ft
2
heat exchanger 7 years ago. After a quick check in the literature, you determine the price index 7 years ago was 1360 and is 1478 today. If the power-sizing exponent is 0.55, determine a rough estimate for the cost of the new heat exchanger system.
The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.
To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.
To calculate the cost estimate, we can use the following formula:
Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent
Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.
Plugging in these values into the formula, we get:
Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55
Simplifying the calculation, we find:
Cost estimate ≈ $108,984
Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.
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