Answer:
The width of the park should be 7.5 feet.
Which of the statements below is true for the following set of numbers? 20, 15, 50, 85, 75, 60
The range is 70 and the midrange 50 is .
The range and the midrange are equal.
The range is 85 and the midrange is 55.
The range is 70 and the midrange is 55.
To find the next number in the sequence: 7, 10, 13, 16, ____ you would need to do which of the following?
Answer:
19. Add
Step-by-step explanation:
10 - 7 =
13 - 10 =
16 - 13 =
16 + 3 =
Use the graph of the function,
f(x)=x-1/x^2+5x+6
to identify the function's
vertical asymptotes.
a. x=-1, x= 6
b. x=1, x=-6
c. x=-2, x=-3
d. X= 2, x= 3
Answer:
c. x = -2 or x = -3
Step-by-step explanation:
The vertical asymptotes occur where the denominator = 0. That happens when the f(x) is undefined. So,
x^2 + 5x + 6 = 0
(x + 2)(x + 3) = 0
x = -2 or x = -3
factorise y^6 - 64 as possible
Answer:
Step-by-step explanation:
Observe that [tex]y^6-64=y^6-2^6.[/tex]
And you factor out using this expression:
[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]
Take a=y and b=2.
Answer:
(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Step-by-step explanation:
[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
[tex]y^{6}[/tex] - 64
= (y² )³ - 4³
= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares
= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Evaluate -3x³-4x for x = -1.
A)-1
B)7
C)1
Answer:
B) 7
Step-by-step explanation:
-3x³-4x =
-3(-1)³-4(-1) =
-3(-1)+4=
3+4 =7
Lisette wrote the following algebraic expression to represent “4 times as large as the product of w and 11.”
The translation of the sentence "4 times as large as the product of w and 11" to an expression is 44w
How to translate the algebraic sentence to an expressionFrom the question, we have the following parameters that can be used in our computation:
“4 times as large as the product of w and 11.”
The number is represented with w
So, the statement remains unchanged as follows
“4 times as large as the product of w and 11.”
4 times as large means 4 *
So, we have the following representation
4 times as large as the product of w and 11 ⇒ 4 * the product of w and 11.
the product of means that we multiply
4 times as large as the product of w and 11 ⇒ 4 * w * 11
Evaluate the products
This gives
4 times as large as the product of w and 11 ⇒ 44w
Hence, the expression is 44w
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-3x-6+(-1)
i will give brainliest !
Answer:
-3x-7
Step-by-step explanation:
Let's simplify step-by-step.
−3x−6−1
=−3x+−6+−1
Combine Like Terms:
=−3x+−6+−1
=(−3x)+(−6+−1)
=−3x+−7
Answer:
=−3x−7
Jason spends no more than 20% of the money he earns at his job each week. He earns $80 each week for 4 weeks. Write an inequality that describes the total amount that Jason spends during this 4-week period.
9514 1404 393
Answer:
s ≤ 4(0.20×80)
Step-by-step explanation:
The maximum Jason spends each week is 0.20 × $80. Then the amount (s) he spends in 4 weeks will be less than or equal to 4 times this product.
s ≤ 4(0.20×80)
Random samples of students at four-year colleges were interviewed several times since . Of the students who reported , the percentage who reported bingeing at least three times within the past two weeks was % of students in and of students in a. Estimate the difference between the proportions in and , and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a % confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid.
Answer:
Step-by-step explanation:
Of The Students Who Repo Drinking Alcohol, The Percentage Who Reported Random samples of students at 112 four-year colleges were interviewed who reported bingeing at least three times within the past two weeks was 42.5% of Estimate the difference between the proportions in 2007 and 1998, and interpret.
If f(x)=2x^3−x^2−16x+15 and f(−3)=0, list all of the zeros from least to greatest
x=
x=
x=
The roots from smallest to greatest are -3, 1, and 5/2 or (2 1/2).
Help please look at picture no links!!
Answer:
66
Step-by-step explanation:
[tex]1)\ \frac{28.9}{3.14} = 9.2[/tex]
[tex]2)\ \frac{9.2}{2} = 4.6[/tex]
[tex]3)\ 4.6^2 * 3.14 = 21.16 * 3.14 = 66.4[/tex]
Equations of Exponential Functions
Given the following equations of an exponential function
R = 10.5(0.535)t
determine the decay rate.
a. 0.535%
b. 10.5%
c. 50%
d. 46.5%
Please select the best answer from the choices provided
Answer:
D. 46.5%
Step-by-step explanation:
I calculated it logically
Sam has 6 choices of shirts, 4 choices of pants, 5 choices of socks, and 6 choices of shoes for his working dress. In how many ways Sam can select his outfit?
looooovvvvveeee these kinds of questions :D
anyways, there are 6 × 4 × 5 × 6=720 outfits
Find the difference:
16 16
Answer:
3 3/6 or 3 1/2 or 3.5
Step-by-step explanation:
40% of an hour is what
Answer:
24 minutes
Step-by-step explanation:
100% = 60 minutes is 100%
So that means that 40% = 24 minutes.
Solve this inequality for x.
Answer:
A. x ≥ 21[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
81 - 1[tex]\frac{1}{5}[/tex] x ≤ 55
-1[tex]\frac{1}{5}[/tex] x ≤ 55-81
-[tex]\frac{6}{5 }[/tex] x ≤ -26
x ≥ -26(-[tex]\frac{5}{6}[/tex]) **flip the inequality when you divide by a negative number
x ≥ 21[tex]\frac{2}{3}[/tex]
brainliest
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
What is the value of x?
sin49°=cosx
Locating Fractions on a Number Line
A B
Hot
-2
-1
Intro
C
D
+++++
0 1 2
Use the drop-down menus to label the points on the
number line.
Point A is at
Point B is at
Point C is at
Point D is at
<
Done
On solving the provided question we cans ay that - order when writing it on the number line: = -1.25, -0.75, 0.25, 1.5, 2
what is number line?A number line is a visual representation of real numbers used in introductory mathematics. It is an image of a magnitude line. On the number line, each point represents a real number, and each real number is taken to represent a point. Increments on a number line are separated by equal distances. You can only respond to the numbers on a line in the manner indicated by those numbers. How the number is utilized is determined by the question that goes with it. B: Make a point.
The numbers on the number line must be
[tex]6/3 = 2\\-3/4 = -0.75\\1.5 = 1.5\\0.25 = 0.25\\-5.4 = -1.25\\[/tex]
In ascending order, t
[tex]-1.25 = -5/4\\-0.75 = -3/4\\0.25\\1.5\\2 = 6/3[/tex]
order when writing it on the number line:
-1.25, -0.75, 0.25, 1.5, 2
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What type of sequence is this: an = 4 * 3(n-1)
Answer:
geometric sequence.
Step-by-step explanation:
Given the sequence an = 4 * 3(n-1)
The type of sequence written in this form is a geometric sequence. It is expressed Mathematically as;
an = ar^n-1
On comparison, we can see that;
a = 4
r = 3
a is the first term]
r is the common ratio
Which statement about f(x) = 2x2 – 3x - 5 is true?
Answer:
-1, 5/2 ; f(x) = (x+1)(2x-5)
Step-by-step explanation:
2x² - 3x - 5 = 0
2x² - 5x + 2x - 5 = 0
x(2x - 5) +1(2x - 5) = 0
Factors are :
(2x - 5) = 0 ; (x + 1) = 0
2x - 5 = 0
2x = 5
x = 5/2
(x + 1) = 0
x = - 1
Zeros are ; x = 5/2 and x = - 1
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?
Answer:
2[tex]\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
BC is equal to 4 because 5*4=20.
The radius is 2. The equation for the area of a circle is [tex]\pi r^2[/tex].
Therefore, if we plug in 2 we will get [tex]4\pi[/tex].
But then we divide by 2 to get 2[tex]\pi[/tex] [tex]units^{2}[/tex] as our answer.
Hope this helped! :)
Can someone help me with my last question for my hw plz
answer:
-4
explanation:
when reflected the a will be at -2 in the third quadrant, when moved 2 units to the left you get the y coordinate of -4
hope this helped!
Factor the expression y^2+8x+12
Answer: y^2+8x+12
Step-by-step explanation:
In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 32 of the 44 online courses at this particular community college were taught by full-time faculty.
Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.
Answer:
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
Step-by-step explanation:
Test if 68% represents the state in question.
This means that at the null hypothesis, we test if the proportion is 68%, that is:
[tex]H_0: p = 0.68[/tex]
At the alternate hypothesis, we test if the proportion is different of 68%, that is:
[tex]H_a: p \neq 0.68[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.68 is tested at the null hypothesis:
This means that [tex]\mu = 0.68, \sigma = \sqrt{0.68*0.32}[/tex]
32 of the 44 online courses at this particular community college were taught by full-time faculty.
This means that [tex]n = 44, X = \frac{32}{44} = 0.7273[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7273 - 0.68}{\frac{\sqrt{0.68*0.32}}{\sqrt{44}}}[/tex]
[tex]z = 0.67[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion differing by the population proportion by at least 0.7273 - 0.68 = 0.0473, which is P(|z| > 0.67), which is 2 multiplied by the p-value of z = -0.67.
Looking at the z-table, z = -0.67 has a p-value of 0.2514
2*0.2514 = 0.5028
The p-value of the test is 0.5028>0.05, which means that there is sufficient evidence to determine that 68% represents the state in question.
Explain the cyclin-dependent regulation
cell cycle
Cyclins drive the events of the cell cycle by partnering with a family of enzymes called the cyclin-dependent kinases (Cdks). A lone Cdk is inactive, but the binding of a cyclin activates it, making it a functional enzyme and allowing it to modify target proteins.
hope this helps!
Answer:
Cyclins drive the events of the cell cycle by partnering with a family of enzymes called the cyclin-dependent kinases (Cdks). A lone Cdk is inactive, but the binding of a cyclin activates it, making it a functional enzyme and allowing it to modify target proteins.
Step-by-step explanation:
A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?
Answer:
18 × 3 = 54
18 + 54 = 72
Therefore, the answer is 72.
PLEASE someone help
7????
Step-by-step explanation:
Jose has a points card for a movie theater.
• He receives 50 rewards points just for signing up.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 85 points for a free movie ticket.
Write and solve an inequality which can be used to determine x, the number of visits
Jose can make to earn his first free movie ticket.
Answer:
x ≥ 10
Step-by-step explanation:
Total Points = 50 + 3.5x
Total Points ≥ 85
50 + 3.5x ≥ 85
3.5x ≥ 35
then divide both sides by 3.5
x ≥ 10
Please help I was sick and missed out on class thank you.
Answer: slope=-5 and y-intercept=1
Step-by-step explanation:
The equation given is in slope-intercept form. Slope-intercept for is y=mx+b, where m is slope and b is y-intercept.
This gives m=-5 and b=1.