The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)
What is (k ○ r) (x) from the task content?If follows from the task content that;
r(x) = x³ - 7 and k(x) = 5 ln (2x)It therefore follows that;
(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).
On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).
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Ricky is 11 years old. Mel and Kim are both five years older than Ricky. Jaz is 29 . What is the mean of their ages?
Answer:
18 years
Step-by-step explanation:
The average of 4 ages:
(11 + 16+16 + 29 )/4
Answer:
The mean of their ages is 18.
Step-by-step explanation:
11 + 16 + 16 + 29 = 72
72 ÷ 4 = 18
Find the missing side or angle.
Round to the nearest tenth.
C=95°
b=6
a=5
c=[?]
No diagram is visible!
You might have to repost the question again.
Answer: For the acellus people its 8.1
Step-by-step explanation:
A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Answer:
I got 27,719.
Step-by-step explanation:
I Did the long route and multiplied 14,000 by .05 and adding that and doing that to my answer 14 times. so 14,000-14,700-15,435-16,206.75,17,017 so on and on. Tbh I would know tho
Which expression is equivalent to 6x² - 7x-20 ?
Answer:
(3x+4)(2x−5)
Step-by-step explanation:
The first term is, 6x2 its coefficient is 6 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -20
Step-1 : Multiply the coefficient of the first term by the constant 6 • -20 = -120
Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -7 .
-120 + 1 = -119
-60 + 2 = -58
-40 + 3 = -37
-30 + 4 = -26
-24 + 5 = -19
-20 + 6 = -14
-15 + 8 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 8
6x2 - 15x + 8x - 20
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (2x-5)
Add up the last 2 terms, pulling out common factors :
4 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(3x+4) • (2x-5)
Which is the desired factorization
Michelle bought 3000 shares of a stock at $24 per share. The company paid annual
dividends of $0.42 per share. What is the total annual dividend?
Answer:
$ 12.60
Step-by-step explanation:
30 shares × $ 0.42 = $ 12.60
Answer:
$1,260
Step-by-step explanation:
3000 x .42 = 1260
13-28 Sketch the region enclosed by the given curves and find its area.
19. [tex]y=\cos \pi x, \quad y=4 x^{2}-1[/tex]
Answer:
Area (A) 0.0682
Step-by-step explanation:
The sketch for the region enclosed by the given curves can be found in the image attached below.
From the image below;
The two curves intersect in the area of tan 9x = 2 sin 9x
Recall that:
making x the subject; then:
The subdivision of the domain is in two intervals
where;
Area (A) =
Area (A) = 0.06818
Area (A) 0.0682
a small pizza has a diameter of 8 inches what is the circumference
Answer:
Given :-
Diameter of Pizza is 8 inches , radius = 4 inchesTo find :-
Circumference of Circular pizzaSolution :-
Formula for circumference of Circular pizza = 2πrPutting the known values
Circumference = 2 × 3.14 × 4
Circumference = 25.12 cm
describe the following polynomial by degree and number of terms x^4-3x^2+2
Answer:
Option c
Step-by-step explanation:
Three terms and the degree is four
Hence Three terms,fourth Degree is your required answer
I hope it helped you
The area of a rectangle is 45 square inches. The length of the rectangle is 6 inches.
What is the width of the rectangle?
Enter your answer as a mixed number in simplest form in the box.
inches
Step-by-step explanation:
the area of a rectangle is
length × width.
so, we have here
45 = 6 × width
width = 45/6 = 15/2 = 7.5 in = 7 1/2 in
What is the value of the expression 2.5 (j.k) j when je 6 and K = 4? OA) 6 OB) 8 OC) 10 OD) 12
help ASAP
Answer:
C
Step-by-step explanation:
substitute the given values for j and k into the expression
[tex]\frac{2.5(6)(4)}{6}[/tex]
= [tex]\frac{2.5(24)}{6}[/tex]
= [tex]\frac{60}{6}[/tex]
= 10
NESESITO LA RESPUETA URGENTEEEEEE
[tex]\frac{(6)}{(3)}[/tex]
A local gym charges a flat monthly fee plus a fee for each day the gym is used. The total cost in dollars, y, to use the gym for x days can be found by the equation; y=6x+81. What is the daily cost of using the gym and why?
Answer:
The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.
Step-by-step explanation:
solvr 5 3/4 = z- 6 3/8
Answer:
x=12 1/8
hope this helps
can i get brainliest
What would the quadratic equation be in standard form?
Answer:
ax^2 + bx + c = 0
Step-by-step explanation:
This is the standard form of the quadrartic equation. "a" is the leading coefficient and a non-zero real number.
The parts of a solid are faces, vertices and __________.
Answer:
edges
Step-by-step explanation:
Blood Types A medical researcher wishes to see if hospital patients in a large hospital have the same blood type distribution as
those in the general population. The distribution for the gendral population is as follows: type A, 22%; type B, 28%; type o,
38%; and type AB = 12%. He selects a random sample of 50 patients and finds the following: 11 have type A blood, 9 have type
B, 24 have type o, and 6 have type AB blood.
At a=0.10, can it be concluded that the distribution is the same as that of the general population? Use the critical value method
with tables.
We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
We need to perform a hypothesis test to determine if the distribution of blood types in hospital patients is the same as that of the general population.
Let's set up the null and alternative hypotheses:
Null hypothesis:
The distribution of blood types in hospital patients is the same as that of the general population.
Alternative hypothesis:
The distribution of blood types in hospital patients is different from that of the general population.
We can use a chi-squared test to test the hypothesis.
First, we need to calculate the expected frequencies for each blood type based on the general population distribution:
Expected frequency of type A = 50 x 0.22 = 11
Expected frequency of type B = 50 x 0.28 = 14
Expected frequency of type O = 50 x 0.38 = 19
Expected frequency of type AB = 50 x 0.12 = 6
Next, we can calculate the chi-squared statistic:
[tex]$\chi^2 = \frac{(11-11)^2}{11} + \frac{(9-14)^2}{14} + \frac{(24-19)^2}{19} + \frac{(6-6)^2}{6} = 2.84$[/tex]
The degrees of freedom for the test is (4 - 1) = 3.
Using a chi-squared distribution table with 3 degrees of freedom and a significance level of 0.10, the critical value is 6.251.
Since the calculated chi-squared value (2.84) is less than the critical value (6.251), we fail to reject the null hypothesis.
Thus,
We can conclude that there is not enough evidence to suggest that the distribution of blood types in hospital patients is different from that of the general population at a significance level of 0.10.
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The amount of money that college students spend on food each week during the academic year is normally distributed with
a mean of $31.28 and a standard devitation of $11.42.
What is the probability that one randomly selected student will spend less than $25 per week on food?
If you randomly select 10 students, what is the probability that their mean will be less than 525?
Answer:
~ 70 %
Step-by-step explanation:
(31.28 - 25)/ 11.42 means 25 is .5499 S.D. below the mean
z -score = .7088
70.88 % chance of less than = 25 dollars
The required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) X = 25 , μ = 31.28 and σ = 11.42
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{11.42}\\z = -0.5499[/tex]
Using z score
Now a probability that one randomly selected student will spend less than $25 per week on food is given.
P(x<25) = p(z = -0.5499)
= 0.2911
b) number of sample = 10
standard deviation = 11.42/√10
= 3.611
Herr,
[tex]Z = \frac{X - \mu}{\sigma}\\z = \frac{25 - 31.28}{3.611}\\z = -1.7444[/tex]
Probability (x<25) = p(z = -1.7444)
Using the Z score table,
Probability (x <25) = 0.040
Thus, the required probability for one randomly selected student will spend less than $25 per week on food is 0.2911 and for randomly selected 10 students, what is the probability that their mean will be less than $25 is 0.040.
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2. Which of the following is equivalent to (g+h)(p+q-r)?
Ogp+gq+gr + hp + hq + hr
Ogp+hq-hr
Ogp+hq-r
Ogp+gq-gr + hp +hq - hr
Answer:
[tex]\boxed{D)\;gp+gq-gr+hp+hq-hr}[/tex]
Step-by-step explanation:
[tex]\left(g+h\right)\left(p+q-r\right)[/tex]
[tex]gp+gq+g\left(-r\right)+hp+hq+h\left(-r\right)[/tex]
[tex]gp+gq-gr+hp+hq-hr[/tex]
Hope it helps!
Answer:
D. gp + gq - gr + hp + hq - hr
Step-by-step explanation:
I got it right on my test.
How you do this pls help
Answer:
why do ask the question which answer is given below
What is the volume of this right prism?
96 in³
60 in³
48 in³
44 in³
Answer:
48
Step-by-step explanation:
Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?
Answer:
Polygon WXYZ is the same shape and size as polygon ABCD. Each side of WXYZ is double the length of ABCD. The ratio of the length of each side of WXYZ to its corresponding side of ABCD is 2. A characteristic of figures that have the same shape is that ratios of corresponding sides are equal.
Step-by-step explanation:
Tyler and Gabe went to the arcade and played the same two games. Tyler played 5 rounds of one game and two rounds of the other for $24. Gabe played 4 rounds of each game for $30. Write two equations for the amounts the two boys spent. Then find the cost for one round of each game.
Answer:
Tyler: 5x + 2y = 24
Gabe = 4x + 4y = 30
x = 3
y = 4.5
Step-by-step explanation:
4y = 30 - 4x
y = 7.5 - x
5x + 2(7.5 - x) = 24
3x + 15 = 24
x = 3
y = 7.5 - 3
y = 4.5
In AFGH, f = 60 cm, g = 10 cm and h=62 cm. Find the measure of LF to the
nearest degree.
Answer:
∠F ≈ 74°
Step-by-step explanation:
The law of cosines is used to find the measures of angles in a triangle when the side lengths are known.
__
f² = g² +h² -2gh·cos(F) . . . . . law of cosines relating to angle F
cos(F) = ((g² +h² -f²)/(2gh)) . . . . . solve for cos(F)
F = arccos((g² +h² -f²)/(2gh)) . . . . . . solve for angle F
F = arccos((10² +62² -60²)/(2·10·62)) = arccos(344/1240)
∠F ≈ 74°
beinggreat78, you're looking for this
Answer:
z = 6
9 followed by a lowercase number, whether it's x, y, or z usually always means add 1 or multiply by an unknown number. In this case, we are multiplying.
[tex]9 * 45 = 405(wrong)\\\\9 * 63 = 567(wrong)\\\\9 * 7 = 63(wrong)\\\\9 * 6 = 54(correct)[/tex]
That said, the answer is six.
(17x + 4y) + (48x + 21y)
A.65x + 25y
B.21x + 25y
C.65x + 38y
D.21x + 38y
[tex](17x+4y)+(48x+21y)[/tex]
Simplify:
(1) Combine like terms
[tex]17x+4y+48x+21y[/tex]
[tex]65x+4y+21y[/tex]
(2) Combine like terms
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
Solution:
[tex]A) 65x+25y[/tex]
Answer:
[tex]65x+25y[/tex]
Step-by-step explanation:
[tex](17x + 4y) + (48x + 21y)[/tex]
[tex]17x+4y+48x+21y[/tex]
[tex]17x+48x+4y+21y[/tex]
[tex]65x+4y+21y[/tex]
[tex]65x+25y[/tex]
I will give Brainliest!!! :D
A farmer sells eggs at a market. She offers three different sizes. For any size, the weight of each egg can vary up to 8%.
Calculate the missing values.
Is it possible for an egg to be both large and extra large?
Explain.
answers:
medium-41.4,48.6
large-55,59.4
extra large-62,57.04
yes it is possible for an egg to be large and extra large, reason: the lightest possible egg for the extra large is 57.04 and the heaviest possible egg for the large is 59.4. Therefore, an egg between the range(57.04_59.4) is both large and extra large
The missing values for Medium egg are 41.4g, 48.6g
for large eggs are 55g, 59.4g,
and extra large eggs are 62g, 57.04g.
What is percent?A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." It is represented by the symbol "%".
Given table for size and weight of eggs and the weight of each egg can vary up to 8%.
for Medium eggs Advertised weight = 45 g
lightest weight = 45 - 8% of Advertised weight
because Advertised weight is average of lightest weight and heaviest egg weight,
lightest weight = 45 - 45(0.08)
lightest weight = 41.4 g
heaviest egg weight = 45 + 8% of Advertised weight
lightest weight = 45 + 45(0.08)
lightest weight = 48.6 g
missing values for medium egg = 41.4g and 48.6g
For Large egg
lightest weight = 50.6
Advertised weight = 50.6 + 8% of lightest weight
Advertised weight = 50.6 + 50.6(0.08)
Advertised weight = 54.9 = 55g
heaviest egg weight = 55 + 8% of Advertised weight
heaviest egg weight = 55 +55(0.08)
heaviest egg weight = 59.4g
missing values for large egg = 55g and 59.4g
For Extra large egg
heaviest egg weight = 66.96 g
Advertised weight = 66.96 - 8% of heaviest egg weight
Advertised weight = 66.96 - 66.96(0.08)
Advertised weight = 61.6 = 62 g
lightest weight = 62 - 8% of Advertised weight
lightest weight = 62 - 62(0.08)
lightest weight = 57.04 g
missing values for extra large egg is 62g and 57.04 g
Yes, an egg can be large or extra large for the following reasons: The largest egg is 59.4 pounds, while the lightest egg for an extra large is 57.04 pounds. As a result, an egg between 57.04 and 59.4 is both large and extremely large.
Hence the missing values are,
Medium egg are 41.4g, 48.6g
for large eggs are 55g, 59.4g,
and extra large eggs are 62g, 57.04g.
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Margot needs to gallons of paint for his living room he has 10 quarts of paint is that enough
Answer:
"Quart" is shorthand for "quarter of a gallon." So that means there are 4 quarts in each gallon. Which means 8 quarts in 2 gallons.
So if he's got 10 quarts, that means 2 and a half gallons.
Step-by-step explanation:
Jaylon has 20 math problems for homework. He has completed 60% of the
problems so far. How many problems has he completed?
Answer:
Jaylon has completed 12 problems.
Step-by-step explanation:
(This is how I learned it- I'm not sure if you have been taught this way..)
Step 1. Set up a proportion
[tex]\frac{60}{100} = \frac{x}{20}[/tex]
Step 2. Do 200x 60 to get 1200
Step 3. Get this equation
[tex]\frac{1200}{100} = x[/tex]
Step 4. Get the answer of 12
I hope this helps! :)
Answer:
Jaylon has completed 12 problems so far
Step-by-step explanation:
Step 1: Determine the amount of problems that were completed
(Total number of problems) * (Percent of completed problems)
(20) * (60% / 100%)
(20) * (0.6)
12
Answer: Jaylon has completed 12 problems so far
Please help meeeee!!
Mrs. Vanwhy made a two-way table to show which students made honor roll and which students study a foreign language. Which is the best two-way table for Mrs. Vanwhy to organize her data?
A 4-column table with 3 rows. Column 1 has entries honor roll, no foreign language, total. Column 2 is labeled foreign language. Column 3 is labeled not on honor roll. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries honor roll, not on honor roll, total. Column 2 is labeled foreign language. Column 3 is labeled no foreign language. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries honor roll, no foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total.
A 4-column table with 3 rows. Column 1 has entries foreign language, honor roll, total. Column 2 is labeled no foreign language. Column 3 is labeled not on honor roll. Column 4 is labeled total.
The most appropriate chart for Mrs. Vanwhy is the one where the columns are foreign language and honor roll, no foreign language, honor roll, and total (option D).
How to identify the relevant table for Mrs. Vanwhy?To identify the most appropriate table for Mrs. Vanwhy we must identify what data she wants to include in the table.
Taking the above information into account, it can be inferred that the most appropriate table for Mrs. Vanwhy is option D because it includes all the data that she wants to tabulate.
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Answer:
D.) The last table is the answer
Step-by-step explanation:
I finished the test.