Answer: 2^4*3^5*19
Step-by-step explanation:
You also need to divided by 2 four times, then divided by 3 five times, then the final one is divided by 19.
The largest prime factor of 309² - 147² is, 19.
What is Greatest common factors?The highest number that divides exactly into two more numbers, is called Greatest common factors.
Given that;
The expression is,
⇒ 309² - 147²
Now, We can simplify as;
⇒ 309² - 147²
⇒ (309 - 147) (309 + 147)
⇒ 162 × 456
⇒ 2 × 3 × 3 × 3 × 3 × 2 × 2 × 2 × 3 × 19
Thus, The largest prime factor of 309² - 147² is,
⇒ 19
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A new American graduate is contemplating buying a Japanese, German, or an American car. No
matter the type of car, he plans to buy a new one at the end of 8 years.
Japanese car will cost $30,000 and have a fuel usage of 23 Miles Per gallon (mpg) for the first 2
years, and will decrease by 3% per year thereafter. Repair cost will start at $700 per year, and
increase by 3% per year. At the end of year 8, the car can be sold for $5000. Insurance cost will
be $700 for the first year, increasing by 2% per year thereafter.
Answer:
Japanese car
Step-by-step explanation:
Given
problem details in Attachment 1
Find
the most economical car
Solution
The attached spreadsheet shows the costs of repairs, insurance, and gas for each of the cars, using the cost factors described in the problem statement. (Numbers are displayed rounded to dollars.)
Mileage each year is assumed to be 150,000/8 = 18,750.
The "present value" line shows the present (year 0) value of the listed costs. The present value is the sum of values divided by 1.05^(year number). It is calculated using the spreadsheet NPV function.
The green total is the sum of present values to its right and the initial cost. The end value is subtracted after it is discounted by 1.05^8.
The Japanese car has the lowest present value.
___
The third attachment is the spreadsheet in Open Office format.
Points E, F, and D are located on circle C. Circle C is shown. Line segments E C and D F are radii. Lines are drawn from points E and D to point F to form chords E F and D F. Arc E D is 68 degrees. The measure of arc ED is 68°. What is the measure of angle EFD? 34° 68° 112° 132°
Answer:
Option (1). 34°
Step-by-step explanation:
From the figure attached, CE and CD are the radii of the circle C.
Central angle CED formed by the intercepted arc DE = 68°
Since measure of an arc = central angle formed by the intercepted arc
Therefore, m∠CED = 68°
Since m∠EFD = [tex]\frac{1}{2}(m\angle ECD)[/tex] [Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]
Therefore, m∠EFD = [tex]\frac{1}{2}(68)[/tex]
= 34°
Therefore, Option (1) 34° will be the answer.
Answer:
34 (100% Correct)
Step-by-step explanation:
What is Surface Area?
A>The total space inside a figure.
B>The sum of all the area's of the faces on a figure.
Answer:
B
Step-by-step explanation:
Option A is volume, which is the total space inside a object
Option B refers to the sum of area of planes on the exterior of an object only.
Refer to picture attached for a clearer visual.
The base of a regular pyramid is a hexagon.
The figure shows a regular hexagon with center C. An apothem is shown as a dashed segment perpendicular to an edge and is labeled as a. A dashed line segment joins the center with the left vertex of the edge perpendicular to the apothem. This segment has a length of 8 centimeters. The angle formed by the edge and the segment measures 60 degrees.
What is the area of the base of the pyramid?
Enter your answer in the box. Express your answer in radical form.
Answer:
[tex]216\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Length of edge:
[tex]12[/tex]
Length of apothem:
[tex]\frac{\sqrt{3}}{2}*12[/tex]
[tex]6\sqrt{3}[/tex]
3 × Length of edge × Length of apothem:
[tex]3*12*6\sqrt{3}[/tex]
[tex]216\sqrt{3}[/tex]
The answer is 96√3 cm²
please help asap! will mark as brainliest! and please no guessing! thank you :)
A circle has a circumference of q and an area of p. Define p in terms of q. Which one is the correct answer?
a. 4q^2π
b. q/2π
c.q^2/π
d. q^2/4π
Answer:
d. q^2/(4π)
Step-by-step explanation:
The circumference in terms of r is ...
q = 2πr
So, the radius in terms of q is ...
r = q/(2π)
The area in terms of radius is ...
p = πr^2
so, in terms of q, it is ...
p = π(q/(2π))^2 = (π/π^2)(q^2/4)
p = q^2/(4π)
_____
Comment on answer
It is unfortunate that your answer choice doesn't have parentheses on the denominator. They are required by the Order of Operations. As written, none of the choices is correct, as the last one must be interpreted as ...
(q^2/4)π
which is quite different from the correct answer of q^2/(4π).
Suppose that in a certain sinkhole the ground dropped 76.8 ft in 24 hour. Find the unit rate representing the change in altitude per hour
Answer:i dont know
Step-by-step explanation:
16.
A soccer team has 11 players on the field at the end of a scoreless game. According to league
coach must select 5 of the players and designate an order in which they will take penalty
game. According to league rules, the
(a) Is this a permutation or a combination? Why?
(b) How many different ways are there for the coach to do this?
Answer:
a) Permutation, because the coach has to designate an order in which they will take penalty
b) There are 55,440 different ways for the coach to do this.
Step-by-step explanation:
It the order is not important, we have a combination.
If the order is important, we have a permutation.
In this question:
5 players from a set of 11 and designate an order.
This means that the order is important, and we have a permutation.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
(a) Is this a permutation or a combination? Why?
Permutation, because the coach has to designate an order in which they will take penalty
(b) How many different ways are there for the coach to do this?
[tex]P_{(11,5)} = \frac{11!}{(11-5)!} = 55440[/tex]
There are 55,440 different ways for the coach to do this.
Answer:
B
Step-by-step explanation:
The health insurance company that insured Peter pays 80% of nutritional counseling after Peter pays a $50 deductible the cost of the counseling was $1,060
Answer:
Peter will pay:
$50 deductible20% x ($1,060 - $50) = $202total $252the insurance company will pay:
(total counseling cost - deductible) x 80% = ($1,060 - $50) x 80% = $808The deductible refers to the amount of money an insured has to pay before the health insurance company starts to pay partially or completely for your health treatment. deductibles are commonly used for other types of insurance policies also, including auto insurance.
Answer:
$252
Step-by-step explanation:
edge 2022
Scores of students: 30 35 40 45 50 6
No of students: 8 12 15 6 5 4.
find the median scores
and the modal score
Answer:
Scores of students:
Mean: 34.3
Mode: no mode
No. of students:
Mean: 8.3
Mode: no mode
Step-by-step explanation:
(for scores of students)
6, 30, 35, 40, 45, 50
Mean: 6 + 30 + 35 + 40 + 45 + 50 = 206/6 = 34.3
Mode: there are no mode in the set of data.
(for No. of students)
4, 5, 6, 8, 12, 15
Mean: 4 + 5 + 6 + 8 + 12 + 15 = 50/6 = 8.3
Mode: no mode
Which expressions are equivalent to 30 - 3y - 9
3(17-y)
3(20-y-3)
17(3-y)
Or 20(3-3y)-9
Answer:
B 3(20-y-3)
Step-by-step explanation:
This is the answer u lookin for ✌
this is my question yeyeyeyeyeyeyyeyyeyeyeyeeyye
Answer:
yeyeyeyeyeyeyeyeyeye
find the slope of (2, 2) and (-2, -2) choices are 4, 2 and 1
Answer:
1
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (-2-2)/(-2 -2)
=-4/-4
=1
Answer:
Your answer would be 1
Step-by-step explanation:
Slope formula = y2-y1/x2-x1
x1y1=2,2 and x2y2=-2,-2
Plug the values in:
= -2-2/-2-2 = -4/-4 = 1
A customer at a bakery paid $78.30 for donuts and cupcakes. Each donut cost $1.95 and each cupcake cost $2.85. If they bought a total of 30 donuts and cupcakes, how many donuts did they buy?
Answer:
[tex] x+y = 30[/tex] (1)
[tex] 1.95x+ 2.85y = 78.30[/tex] (2)
From equation (1) we can solve for x and we got:
[tex] x = 30-y[/tex] (3)
Replacing (3) into (2) we got:
[tex] 1.95(30-y) +2.85 y = 78.30[/tex]
And solving for y we got:
[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]
[tex] 0.9 y = 19.8[/tex]
[tex] y = 22[/tex]
And then solving for x we got:
[tex] x = 30-22 = 8[/tex]
So then we have 8 donuts and 22 cupcakes
Step-by-step explanation:
Let x the number of donuts and y the number of cupcakes, from the info given we can set up the following equations:
[tex] x+y = 30[/tex] (1)
[tex] 1.95x+ 2.85y = 78.30[/tex] (2)
From equation (1) we can solve for x and we got:
[tex] x = 30-y[/tex] (3)
Replacing (3) into (2) we got:
[tex] 1.95(30-y) +2.85 y = 78.30[/tex]
And solving for y we got:
[tex] 58.5 -1.95 y +2.85 y = 78.30[/tex]
[tex] 0.9 y = 19.8[/tex]
[tex] y = 22[/tex]
And then solving for x we got:
[tex] x = 30-22 = 8[/tex]
So then we have 8 donuts and 22 cupcakes
What type of angels are <5 and <6?
Answer: Supplementary Angles
Step-by-step explanation:
∠5 and ∠6 are supplementary angles. If you look at their position, they are right next to each other. Both angles added together makes a straight line, which is 180°. Any 2 angles that make 180° are called supplementary angles.
Suppose that the mean birth weight of human babies is 3100 g. Hospital A records an average of 50 births a day. Hospital B records an average of 10 births a day. On a particular day, which hospital is less likely to record an average birth weight of at least 3400 g?
Answer:
Hospital A is less likely to record an average birth weight of at least 3400 g.
Step-by-step explanation:
Applying the Central Limit Theorem and the normal probability distribution.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Applying the Central Limit Theorem to find the z-score.
[tex]Z = \frac{X - \mu}{\sigma} = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
Probability of an average birth weight of at least 3400 g?
This probability is 1 subtracted by the pvalue of Z when X = 3400.
Mean is 3100, so [tex]\mu = 3100[/tex]
Suppose s is the same for both.
Hospital A:
n = 50. So
[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{50}}[/tex]
[tex]Z = \frac{300\sqrt{50}}{s}[/tex]
Hospital B:
n = 10. So
[tex]Z = \frac{X - \mu}{\frac{s}{\sqrt{n}}[/tex]
[tex]Z = \frac{3400 - 3100}{\frac{s}{\sqrt{10}}[/tex]
[tex]Z = \frac{300\sqrt{10}}{s}[/tex]
Comparasion:
[tex]\frac{300\sqrt{50}}{s} > \frac{300\sqrt{10}}{s}[/tex]
This means that hospital A has the higher z-score.
The higher the z-score, the higher the pvalue.
So, for A, 1 subtracted by the pvalue of Z when give a lower value than the 1 subtracted by the pvalue of Z in b. This means that hospital A is less likely to record an average birth weight of at least 3400 g.
Question 5
Provide an appropriate response.
For the stem-and-leaf plot below, what are the maximum and minimum entries?
Stem
ES
1
ions
2
Leaf
77889
011234456677788999
01123445566 678 899
58
3
4
om
max: 47 min: 18
max:45min 17
35
max 38min: 7
max 48. min 17
Answer:
max 48, min 17
Step-by-step explanation:
Apparently, your plot is supposed to be ...
1 | 77889
2 | 011234456677788999
3 | 01123445566678899
4 | 58
The smallest stem is 1, and its smallest leaf is 7, representing a value of 17.
The largest stem is 4, and its largest leaf is 8, representing a value of 48.
The extremes represented by this plot are: max 48, min 17.
Which rule describes the translation
Answer:
[tex]T_{3}, _{-2} (x,y)[/tex]
Answer:
T3, –2(x, y)
Step-by-step explanation:
I took the test lol
The question below is fill-in-the-blank. Be sure that you follow the instructions since it is computer graded. Either fill in the exact value you get from StatCrunch (no rounding) OR write your answer selection exactly as it is written.
A soft-drink company is conducting research to select a new design for the can. A random sample of participants has been selected. Instead of a typical taste test with two different sodas, they gave each participant the same soda in two different cans. One can was predominantly red, and the other predominantly blue. The order was chosen randomly. Participants were asked to rate each drink on a scale of 1 to 10. The data are recorded below and α=0.05.
Rater Red Blue
1 4 2
2 7 4
3 3 9
4 8 8
5 5 2
6 9 9
7 7 3
8 5 7
9 6 6
10 9 9
11 8 7
12 3 10
13 6 3
14 8 4
15 9 5
16 7 6
Does this sample indicate that there is a difference in the ratings based on can color? Test an appropriate hypothesis. Assume conditions have been met and that µd = red - blue
Hypotheses:
H0: µd=0; The mean difference of ratings is zero.
H0: µd (<, >, not equal to) 0; The mean difference of ratings is (greater than, less than, different than) zero.
Calculations: Type each value EXACTLY as they are given in StatCrunch
Mean:
Std. Err.:
DF:
T-Stat:
P-value:
Conclusion:Since the P-value is (low, high), we (reject, fail to reject) the null hypothesis. There (is/is not) sufficient evidence to suggest that can color (increases, reduces, changes) the average rating of the soda.
Answer:
Step-by-step explanation:
Hello!
The random sample of n= 16 participants was asked to taste test two different sodas cans and rate them on a scale from 1 to 10. The cans contained the same type of soda but differ in color.
Since each participant tasted and ranked the two types of soda cans, you have per person a pair of data (X₁;X₂):
Where
X₁: Rank given to the red soda.
X₂: Rank given to the blue soda.
As said, the data is arranged in pairs per experimental unit, so these two variables are dependent, to study them is best to determine a third variable, the difference between X₁ and X₂:
Xd: X₁ - X₂
Assuming Xd~N(μd;σd²)
The objective is to test if there is any difference between the ratings based on the can color. The statistic hypotheses are:
H₀: μd=0
H₁: μd≠0
To calculate the descriptive statistics you have to calculate first the difference of each pair of ratings (see table in attachment)
Mean:
X[bar]d= ∑Xd/n= -6/16= -0.38
Variance
[tex]S_d^2=\frac{1}{n-1} [sumX_d^2-\frac{(sumXd)^2}{n} ]= \frac{1}{15}[64-\frac{(-6)}{^16} ]= 4.12[/tex]
Standard deviation
Sd= √4.12= 2.03
Statistic [tex]t= \frac{X[bar]_d-Mu_d}{\frac{Sd}{\sqrt{n} } } ~~t_{n-1}[/tex]
Df: n-1= 16-10 15
[tex]t_{H_0}= \frac{-0.38-0}{\frac{2.03}{4} } = -0.74[/tex]
P-value:
P(t₁₅≤-0.74) + P(t₁₅≥0.74)= P(t₁₅≤-0.74) + (1 - P(t₁₅≤0.74))= 0.2354 + (1 - 0.7646)= 0.4708
The decision rule for the p-value approach is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
α: 0.05
The p-value is greater than the level of significance, the decision is to not reject the null hypothesis.
At a 5% significance level, there is no significant evidence to reject the null hypothesis. You can conclude that there is no difference between the rankings of the red and blue cans. I.e. there is no evidence to suggest that the can color changes the average ranting of the soda.
I hope this helps!
On January 1, it was worth $8,474. On March 1, it was worth $3,323. During February, it decreased by $1,621. During January it decreased by
Answer:
Step-by-step explanation:
Help me !!! Which point in this body of water is most ikely to be in the photic zone
O A. Point A
B. Point
C. Pointe
D. Point
SUBMIT
Answer:
A
A has sufficient sunlight, it's also close to some vegetation, it's the perfect place.
Answer:
It is Point B not Point A
Step-by-step explanation:
i have done the test a little bit ago.
Gas prices are up 30% since last year when they were $4.35, how much is gas now?
Express your answer rounded correctly to the nearest cent.
Answer:
$5.66/gal
Step-by-step explanation:
To calculate the current price of gas, multiply $4.35/gal by (1 + 0.30), or by 1.30:
1.30($4.35/gal) = $5.66/gal
given f(x) =x^2 -10x+22 what is the domain of f
Answer:
[tex] f(x) = x^2 -10x +22[/tex]
And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:
[tex] D= [x \in R][/tex]
Where D represent the domain and R the set of the real numbers.
Step-by-step explanation:
For this case we have the following function:
[tex] f(x) = x^2 -10x +22[/tex]
And we want to find the domain. And that represent the possible values for x. Since we have a quadratic function we have that the domain would be all the reals, and we can write:
[tex] D= [x \in R][/tex]
Where D represent the domain and R the set of the real numbers.
Answer:
d
Step-by-step explanation:
i just got it right.:)
Dimensions of a cow farm are 650 feet by 255 feet. If 1 inch represents 40 feet, what re the dimensions of the building on the drawing?
Answer:
the dimensions in the drawing are 16.25 inches by 6.375 inches
Step-by-step explanation:
The first thing is to use the same unit on the scale, that is, they tell us that the scale is 1:40 but that scale cannot be applied because they are different units of measurement.
The answer is preferable to give it in inches because it is more adapted to the measurements in a drawing, therefore we will pass the scale all in inches, knowing that 1 foot is 12 inches:
40 feet * 12 inches / 1 foot = 480 inches, therefore the scale is 1: 480
Now, if we pass the dimensions that give us inches, we are left with:
650 feet * 12 inches / 1 foot = 7800 inches
255 feet * 12 inches / 1 foot = 3060 inches
Now applying the scale:
7800/480 = 16.25
3060/480 = 6.375
It means that the dimensions in the drawing are 16.25 inches by 6.375 inches
A club raised 175% of its goal for a charity. The club raised $763. What was the goal?
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
[tex]\$436[/tex]
A percentage is a number or ratio expressed as a fraction of [tex]\boldsymbol{100}[/tex]
Percentage of amount raised for charity [tex]=175\%[/tex]
Amount raised for charity [tex]=\$763[/tex]
Therefore,
[tex]175\%[/tex] of amount of goal [tex]=\$763[/tex]
[tex]\frac{175}{100}\times [/tex] Amount of goal [tex]=\$763[/tex]
Amount of goal [tex]=\frac{76300}{175} [/tex]
[tex]=\boldsymbol{\$436}[/tex]
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The problem has been started for you. 8 StartLongDivisionSymbol 468 EndLongDivisionSymbol minus 40 = 68. 68 minus 64 to get a remainder of 4 and a quotient of 58. What is the quotient? A. 58 B. 58.5 C. 58.ModifyingAbove 5 with bar D. 59
Division is one of the four fundamental arithmetic operations. The quotient for this division is 58.5.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given the problem is been started, therefore, the division is done as 468÷8. Hence, the quotient for this division is 58.5.
Learn more about Division:
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Answer:
58.5
Step-by-step explanation:
Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is consistent. Choose the correct answer below. A. The system is consistent because the rightmost column of the augmented matrix is not a pivot column. B. The system is consistent because all the columns in the augmented matrix will have a pivot position. C. The system is consistent because the augmented matrix is row equivalent to one and only one reduced echelon matrix. D. The system is consistent because the augmented matrix will cont
Answer: A.
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.
Can someone help me with these problems S and T
Answer:
S) 230°
T) 45°
Step-by-step explanation:
S) m∠RST = 30°. An inscribed angle is half the central angle, so RT = 60°.
SR = 70°, so ST = SR + RT = 60° + 70° = 130°.
SPT = 360° − ST = 360° − 130° = 230°
T) m∠DCA = 60°. An inscribed angle is half the central angle, so AD = 120°.
DB = AD − BA = 120° − 75° = 45°
What is -5+8=-3y+10 equal I’m so lost
Answer:
y=7/3
Step-by-step explanation:
Answer:
7/3 = y
Step-by-step explanation:
-5+8=-3y+10
3 = -3y + 10
Subtract 10 from each side
3- 10 = -3y +10-10
-7 = -3y
Divide each side by -3
-7/-3 = -3y/-3
7/3 = y
Evaluate the following algebraic expression:
2 x + y for x = 1 and y = 1
Answer:
3
Step-by-step explanation:
2*1+1
2+1
3
how this helps :)
What is 5 4/5 - 2 2/3 as a fraction? If needed please write as a mixed number
Answer:
2 4/5
Step-by-step explanation:
5 4/5 - 2 3/3=2 4/5
Answer:
47/15 or 3 2/15
Step-by-step explanation:
first put it into improper fraction
so 29/5 minus 8/3
then find the least common denominator which is 15
87/15 minus 40/15 which is 47/15
simplify it
