Answer:
z = -60
Step-by-step explanation:
1/6z= -10
To find the value for z, multiply each side by 6
6*1/6z= -10*6
z = -60
modal mark of 1,2,3,4,5,6,7,8
Answer:
1
Step-by-step explanation:
the mode is the number that is repeated more often than any other numbers. the given numbers are 1,2,3,4,5,6,7,8 firstly, the numbers should be counted accordingly.
the number 1 is counted as 1.
the number 2 is counted as 1.
the number 3 is counted as 1.
the number 4 is counted as 1.
the number 5 is counted as 1.
the number 6 is counted as 1.
the number 7 is counted as 1.
the number 8 is counted as 1.
after counting the numbers, the maximum number counted (or) repeated most is 1 as 1 times.
the mode of the given values is 1.
riangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are
(–1, 0). What are the coordinates of B?
B(, )
The coordinates of B is (-2, 3).
What is Translation?In geometry, translation is the movement of a point or shape from one position to another.
Here, The translation from ΔABC to ΔA'B'C' is (x, y) → (x + a, y + b)
Now, given coordinate
A ≡ (5, 1) ⇒ A' ≡ (6, -2)
A' ≡ (1+5, 1 - 3)
On comparing this coordinate with translation coordinate
(x + a, y + b), we get
a = 1 and b = -3
Now translation coordinates is (x + 1, y - 3),
Now, Another coordinate;
B' ≡ (-1, 0) and the coordinate of B ≡ (x, y)
B' ≡ (-2+1, 3-3)
On comparing this coordinate with translation coordinate (x + 1, y - 3), we get
x = -2 and y = 3
Thus, the coordinates of B is (-2, 3).
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In a clinical trial of a drug intended to help people stop smoking, 126 subjects were treated with the drug for 13 weeks, and 15 subjects experienced abdominal pain. If someone claims that more than 8% of the drug users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.19 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test.
The power of 0.95 shows that there is a ....% chance of rejecting the
▼
null
alternative
hypothesis of p
enter your response here when the true proportion is actually
enter your response here. That is, if the proportion of users who experience abdominal pain is actually
enter your response here, then there is a
enter your response here% chance of supporting the claim that the proportion of users who experience abdominal pain is
▼
less
greater
than 0.08.
The answer to the question has to be filled into the blank as
The power of 0.95 shows that there is a 95% chance of rejecting the null hypothesis if p = 0.08 when the true proportion is actually 0.15. That is, if the proportion of users who experience abdominal pain is actually 0.15. then there is a 95% chance of supporting the claim that the proportion of users who experience abdominal pain is greater than 0.08What does the power of a statistical test mean?This is described as the likelihood of the test correctly rejecting the null hypothesis on the basis that the alternative hypothesis is correct.
This question requires us to fill in the blank with the details that we have been given.
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A swimming pool is 3 meters deep, 50 meters long, and 25 meters wide. If it takes 0.25 pounds of chlorine for every 15 cubic meters of water to keep the pool clean and healthy, how many pounds of chlorine are needed?
a. 27.2 pounds
b. 35.7 pounds
c. 45.4 pounds
d. 62.5 pounds
The amount of pounds of chlorine needed is 62. 5 pounds. Option D
How to determine the amount
WE have the perimeter of a rectangle to be;
Volume = l × h × w
L = length = 50 meters
w = width = 25 meters
height = 3 meters
Substitute into the formula
Volume = [tex]50[/tex] × [tex]25[/tex] × [tex]3[/tex]
Volume = [tex]3750[/tex] cubic meters
If 0. 25 pounds of chlorine is in 15 cubic meters of water
x pounds would be 3750 cubic meters
Cross multiply
0. 25 × 3750 = 15x
937. 5 = 15x
x = [tex]\frac{937. 5}{15}[/tex]
x = 62. 5 pounds
Thus, the amount of pounds of chlorine needed is 62. 5 pounds. Option D
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Which shows the equation in point-slope form of the line passing through the given point with the given slope?
(0, 5), m=13
y−5=−13x
y=13x−5
y−5=13x
y=x+13
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
Find the point-slope equation of the line, with the info given
[tex]\Large\maltese\underline{\textsf{This problem has been solved}}[/tex]
Formula used, [tex]\bf y-y1=m(x-x1)[/tex]
[tex]\bf y-5=13(x-0)}[/tex] | result
[tex]\rule{300}{1.7}[/tex]
[tex]\boxed{\bf aesthetic\not101}}[/tex]
To number the pages of a book, 2022 digits are used. How many pages are in the book?
Answer:
710
Step-by-step explanation:
Numeration of pages goes from 1.
9 pages with 1-digit numbers, from 1 to 9.
90 pages with 2-digit numbers, from 10 to 99.
So, 2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.
The rest of numbers are 3-digit.
[tex]\frac{(2022-189)}{3}[/tex] = 611 pages with 3-digit numbers.
Total pages = 9 + 90 + 611 = 710.
Which of the following expressions is equivalent to ab² + 6ab + 7a³-14a?
a. (b + 7)(b + 6)(a²-2)
b. b(b + 6)+7(a2-2)
c. a[b(b + 6)+7(a²-2)]
d. a[(b + 7)(b + 6)(a²-2)]
Answer:
c. a[b(b + 6)+7(a²-2)]
Step-by-step explanation:
look at the pic
The equivalent expression of the expression ab² + 6ab + 7a³ - 14a is
C. a [b (b + 6) + 7 (a² - 2)]
Option C is the correct answer.
We have,
To find the expression that is equivalent to ab² + 6ab + 7a³ - 14a, we can factor out common terms from the given expression.
The common terms in the expression are "a" and "(b + 7)".
Step 1:
Factor out "a" from the expression:
ab² + 6ab + 7a³ - 14a = a(b² + 6b + 7a² - 14)
Step 2:
Factor the quadratic expression inside the parenthesis:
b² + 6b can be factored as b(b + 6)
7a² - 14 can be factored as 7(a² - 2)
Step 3:
Putting it all together, the equivalent expression is:
a [b (b + 6) + 7 (a² - 2)]
Now let's check which option matches this expression:
a. (b + 7)(b + 6)(a² - 2) - Not equivalent
b. b(b + 6) + 7(a^2 - 2) - Not equivalent
c. a[b(b + 6) + 7(a² - 2)] - Equivalent
d. a[(b + 6)(b + 7a² - 14)] -Not equivalent
Thus,
The equivalent expression is
C. a [b (b + 6) + 7 (a² - 2)]
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Determine the Domain of: 8(x)=(4)/(x-9)
Hi !
[tex]f(x) = \frac{4}{x - 9} [/tex]
[tex]x-9[/tex] must be different from 0.
[tex]x -9 \ne0 \\ x \ne9[/tex]
[tex] = = > \: D_f=\mathbb{R}-\{9\}[/tex]
Have a nice day ;)
Find the inverse of f.
f(x)=x/x+6
Answer:
xy+6xStep-by-step explanation:
given:f(x)=x/x+6
let, f(x)=y
y=x/x+6
interchanging the roles of x and y
or, x=y/y+6
or, xy+6x=y
therefore,inverse of f is xy+6x
How do you determine whether or not the paired t test is appropriate for a two-sample hypothesis?
How to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The two samples are independent.
What is Two-sample hypothesis?Two-sample hypothesis can be defined as a test that is conducted on two samples so as to determine whether the two samples are independent.
A paired t-test is appropriate when the scores are of equal subject or equal variances.
Therefore how to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The two samples are independent.
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What are effective elements to include in introductions? Check all that apply.
O a statement of the topic
O a relevant anecdote or tale
O an in-depth study of the topic
O a thought-provoking question
O a suggestion for further research
O a surprising fact about the topic
The effective elements to include in the introductions are statement of the topic, a relevant anecdote and a surprising fact about the topic. Therefore the option 1st, 2nd and 6th options are correct.
What is Introduction?Introduction is the starting line or the opening hook or portion that attracts the readers attention which carries the relevant background of the information.
It is the statement which represents the main point of the following argument or the paragraphs.
There are many elements that included in the introductory part some of them are as follows:-
a statement of the topica relevant anecdote or talea surprising fact about the topicTherefore the option 1st, 2nd and 6th options are correct.
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Answer:
The first two, the fourth, and the last one are correct
Step-by-step explanation:
it just is.... so yeah
Which property is does
3 + (( − 3) + 4) = (3 + ( − 3)) + 4 represent?
commutative
associative
distributive
identity
inverse
1) Which example represents
perpendicular line segments?
A. tines of a fork
B. legs of a table
C. corner of a room
D. pedestrian crosswalk
Answer:
the area of a square garden 3136cm what is the length of one side
Write an equation that represents the line
Answer:
y=2/3x±3
Step-by-step explanation:
use the formula y=MX+b m being alive b being the y intercept
Hello,
f(x) = ax + b
We know f(0) = 3 = b
a = ∆y/∆x = 3/2
equation that represents the line → y = 3/2x + 3
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual
withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. Round
your answer to the nearest cent.
$938,272.00
b. $941,790.00
$535,528.03
0
$547,577.41
Answer:
the correct answer is 0 54,577.41
Step-by-step explanation:
you needed to take the withdrawal amount divide it by 35 and divide that answer by the 4.5 percentage rate
Answer:
C. $535,528.03
Step-by-step explanation:
Trust me
What is the slope of the following linear equation y + 2x = 5 ?
Answer:
slope = -2
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.
y + 2x = 5 <----- Given equation
y = -2x + 5 <----- Subtract 2x from both sides
Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.
i dont know help help pls
The solution to the expression [tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x[/tex] is 27.03
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The expression is given as:
[tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x\\\\When \ x=1\frac{1}{10}=\frac{11}{10} \\\\=3(5-\frac{1}{6} *\frac{11}{10} )+\frac{1}{8}(32+6(\frac{11}{10} ))+7.3(\frac{11}{10} ) -5*0.05(\frac{11}{10} )\\\\=27.03[/tex]
The solution to the expression [tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x[/tex] is 27.03
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The numeric value of the expression for [tex]x = 1\frac{1}{10} = \frac{11}{10} = 1.1[/tex] is: 27.03.
How to find the numeric value of an expression?To find the numeric value of an expression, we replace all instances of x by the desired value.
In this problem, the expression is:
[tex]3\left(5 - \frac{x}{6}\right) + \frac{1}{8}(32 + 6x) + 7.3x - 5(0.05x)[/tex]
The value of x is:
[tex]1\frac{1}{10} = \frac{11}{10} = 1.1[/tex]
Hence the numeric value of the expression is:
[tex]3\left(5 - \frac{1.1}{6}\right) + \frac{1}{8}(32 + 6(1.1)) + 7.3(1.1) - 5(0.05(1.1)) = 27.03[/tex]
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A company received a shipment of 8 boxes of metal brackets.
. There are 20 metal brackets in each box.
The total weight of the shipment is 48 pounds.
What is the weight, in pounds, of each metal bracket?
Answer:
160 boxes = 384 pounds
Step-by-step explanation:
sgshshdhdjd
For the sequence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth term is its fifth term is quence a n =a n−1 +a n−2 and a 1 =2,a 2 =3 its first term is its second term is its third term is its fourth term is its fifth term is
A function assigns the value of each element of one set to the other specific element of another set. The third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively
A function assigns the value of each element of one set to the other specific element of another set.
Given the nth term of the sequence is given by the formula,
[tex]a_n = a_{(n-1)}+a_{(n-2)}[/tex]
Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,
[tex]a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5[/tex]
[tex]a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8[/tex]
[tex]a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13[/tex]
Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.
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The variance of the wait times of several people in at a department of motor vehicles service center is 14.5 minutes. What is the standard deviation of these measurements?
The standard deviation is 3.807.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Given:
variance= 14.5
standard deviation = √variance
= √14.5
= 3.807
Hence, the standard deviation is 3.807.
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Find the value of x.
67°
X
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{67 + x = 90^\circ}[/tex]
[tex]\mathsf{x+ 67 = 90^\circ}[/tex]
[tex]\large\textsf{SUBTRACT 67 to BOTH SIDES}[/tex]
[tex]\mathsf{x + 67 - 67 = 90^\circ - 67}[/tex]
[tex]\large\textsf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = 90 - 67}[/tex]
[tex]\mathsf{x = 23}[/tex]
[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{x = 23}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
Write the equation of the line that passes at the point (-5,7) with the slope m = -2 in slope intercept form
Answer:
[tex]\huge\boxed{\sf y = -2x - 3}[/tex]
Step-by-step explanation:
Given data:m = -2
Slope-intercept form:y = mx + c
Given co-ordinate:(x,y) = (-5,7)
So, x = -5, y = 7
Finding c:To find c, Put the values of x, y and m in the slope-intercept form.
7 = (-2)(-5) + c
7 = 10 + c
7 - 10 = c
-3 = c
c = -3
Now, put the values of m and c in the slope intercept form.
Slope-intercept form:y = -2x - 3
[tex]\rule[225]{225}{2}[/tex]
The amount or the strength of force is called its
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
The amount or the strength of force is called its magnitude.
Step-by-step explanation:
Hope it helps you !!The amount or the strength of force is named magnitude.
What is force?Force is that the push or pull on an object with mass that causes it to alter its velocity. Force is an external agent capable of adjusting the state of rest or motion of a selected body. it's a magnitude and a direction.
How to identify strength of force?The term which is true is magnitude. The magnitude of a force is expressed within the SI unit of force called Newton. 1 Newton is that the force which might make an object of 1 kilogram mass to at a speed of 1 meter per second. Magnitude is essentially the most extent of size and also the direction of an object. Magnitude is employed as a typical think about vector and scalar quantities. Magnitude of earthquake is measured by Richter scale.
Hence the number or the strength of force is named its magnitude.
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Solve for x. Round to the nearest tenth, if necessary.
J
K
69
X
26°
L.
In this problem, we're given an angle and two sides. Therefore, we should use a trigonometric function to solve for x.
Remember! SOH-CAH-TOA
We are given a 26 degree angle, looking from which we have the adjacent side and the hypotenuse. As such, we should use the cosine function.
cos(26) = x / 69
x = cos(26) * 69
x = 62.0168
x = 62.0
Hope this helps!
Step-by-step explanation:
ATTACHED IS THE SOLUTION!Which equations have the same value of x as 5/6x + 2/4 = -9? Select three options.
6(5/6x + 2/3)= -9
6(5/6x + 2/3)= -9(6)
5x+4-54
5x4-9
5x=-13
5x=-58
Answer: Options 2, 3, 6
Step-by-step explanation:
Option 2: Correct because both sides are multiplied by 6.
Option 3: Correct because the distributive property is used on the left.
Option 6: Correct because 4 is subtracted from both sides.
Consider the following data representing the price of refrigerators (in dollars).
1459, 1381, 1347, 1485, 1473, 1479, 1306, 1221, 1402, 1366, 1205, 1431, 1427, 1490, 1209, 1260, 1296, 1204, 1487, 1343, 1358 Price of Refrigerators (in Dollars)
Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency
1196–1245
1246–1295
1296–1345
1346–1395
1396–1445
1446–1495
Determine the lower class boundary for the third class.
The lower class boundary for the third class is 0.50.
What is the lower class boundary?
The lower class boundary of a class can be determined by calculating the average the upper limit of the previous class and the lower limit of the given class.
The lower class boundary = ( 1296 - 1295) / 2 = 0.50
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PLEASE HELP ME
IM NOT GOOD WITH GRAPHS
Answer:
b
Step-by-step explanation:
3 [ 6 - ( + 2 ) ]= solve
Answer:
12
Step-by-step explanation:
First solve the inside brackets.
[tex]3[6-(+2)]=3[6-2]\\\\=18-6\\\\=12[/tex]
Find the perimeter and the area of the regular polygon
The perimeter of the regular hexagon is 180 ft
(Simplify your answer. Round to the nearest tenth as needed.)
The area of the regular hexagon is
(Simplify your answer. Round to the nearest tenth as needed.)
30 ft
The perimeter of the hexagon is 180 ft.
The area of the hexagon is 2338.3 ft
How to find area and perimeter of a polygon?The perimeter of the polygon can be found as follows:
The polygon is a regular hexagon.
Therefore,
perimeter of the hexagon = 30 × 6 = 180 ft
Area of the hexagon = 3√3 / 2 × s²
where
s = side lengthTherefore,
Area of the hexagon = 3√3 / 2 × 30²
Area of the hexagon = 3√3 / 2 × 900
Area of the hexagon = 450 × 3√3
Area of the hexagon = 2338.26859022
Area of the hexagon = 2338.3 ft
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Please solve this thank you!
Answer:
[tex]1024x^{40}[/tex]
Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
[tex][\frac{8x^9}{2x}]^5[/tex]
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
[tex][4x^8]^5[/tex]
Multiply exponents and raise 4 to the power of 5
[tex]1024x^{40}[/tex]
The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40
Answer:
1024x^40
Step-by-step explanation:
Apply exponent rule: (a/b)^c = a^c / b^c = (5x^9 + 3x^9)^5 / (2x)^5
Simplify:
(5x^9 + 3x^9)^5: 32768x^45
= 32768x^45 / (2x)^5
Simplify:
(2x)^5: 32x^5
= 32768x^45 / 32x^5
Divide the numbers: 32768 / 32 = 1024
= 1024x^45 / x^5
Apply exponent rule: x^a / x^b = x^a - b
x^45 / x^5 = x^45 - 5
= 1024x^45 - 5
Subtract the numbers: 45 - 5 = 40
= 1024x^40