Answer:
-5 < -4
|X| - this is read as magnitude of X and it means take the positive of that number X.
meaning if the number X is negative you can ignore the negative and write the positive value of the number.
so now:
|7| = 7
|5| = 5
|-5| = 5
7 = |7| not 7 < |7|
-5 < -4 is correct since on the number line numbers to the left are lesser than numbers on the right and -5 is on the left of -4 on the number line
|5| < 7 since |5| is just 5 and 5 is less than 7
|-5| > -4 not -5 < -4 since |-5| is 5 and 5 is greater than -4
hence correct answer is the second one
Two Dimensional Shapes: Area
I really need help with this!!!
Answer:
area of the rectangle will be 175 square feet
HELP PLEASE!!!
f(0)=4, f(n)=2f (n-1) write the first six terms of the sequence
Answer:
n
=
1
→
a
1
=
−
2
←
given value
n
=
2
→
a
2
=
−
2
+
4
=
2
n
=
3
→
a
3
=
−
2
+
4
+
4
=
6
n
=
4
→
a
4
=
−
2
+
4
+
4
+
4
=
10
Step-by-step explanation:
brainlist me
Help!! I need the answer quick. Im really bad at fractions-
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \tt \dashrightarrow \:6 \frac{5}{8} + 4 \frac{3}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{53}{8} + \frac{19}{4} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{53 + 38}{8} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{91}{8} [/tex]
[tex]\qquad \tt \dashrightarrow \: 11\frac{3}{8} [/tex]
[tex]6 \frac{5}{8} + 4 \frac{3}{4} [/tex]
to find:the simplest form.
solution:[tex] \frac{53}{8} + \frac{19}{4} [/tex]
[tex] = \frac{(53 \times 4) + (19 \times 8)}{8 \times 4} [/tex]
[tex] = \frac{212 + 152}{32} [/tex]
[tex] = \frac{364}{32} [/tex]
[tex] = 11 \frac{3}{8} [/tex]
During second period, Cora completed a grammar worksheet. She got 28 out of 40 questions correct. What percentage did Cora get correct?
Answer:
%70
Step-by-step explanation:
percentage can be found by dividing the values than multiplying the values by 100
Formula: (value/totalvalue)100
plug in the formula with what we have;
28/40(100)
→ First step; dividing our value by total value (28/40)
28/40 = 0.7
→ Second step; multiplying our value by 100 (0.7)
0.7 * 100 = 70
Therefore cora got %70 correct on her grammar sheet
Answer:
70% correct
Step-by-step explanation:
We know that there are 40 questions on her grammar worksheet.
Out of those 40 questions, she got 28 right so 28/40 equals 0.7
Find the measure of <1
Please answer ASAP, in desperate need will mark as brainliest
Answer:
m<1=32
Step-by-step explanation:
Just do 102-38÷2 to get the measure
( what’s the better deal ) please help me with this, i’ve been trying for a long time
Answer:
Brand A is the better deal!
Step-by-step explanation:
Let's start by comparing.
We know brand B has the following cost: 5 ounces = $3.75
10 ounces $7.50 and 16 ounces = $12
Now check the graph.
6 ounces cost $3
12 ounces cost $6
20 ounces cost $10
I don't think we need to look any further but brand A is the better deal!
If x - 10 is a factor of x2 - 8x - 20, what is the other
factor?
Answer:
(x + 2)
Step-by-step explanation:
x² - 8x - 20
consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 8)
the factors are - 10 and + 2 , since
- 10 × + 2 = - 20 and - 10 + 2 = - 8 , then
x² - 8x - 20 = (x - 10)(x + 2)
Answer:
(×+ 2)
Step-by-step explanation:
just did that trust me
The equation v=68t represents the number of views v for a video after t hours. Identify the independent and dependent variables.
Answer(s):
Dependent variable: vIndependent variable: tWhat is the dependent variable of an equation?
The dependent variable of an equation is the variable that is completely isolated on one side.
What is the independent variable of an equation?
The independent variable is the variable that is not isolated. The independent variable can either have a cooeficient or has some operation (+ - × ÷) included on that side of the equation.
Determining the independent and dependent variable
In this equation, we can see that "v" is completely isolated on one side and "t" has a cooeficient of 68. Thus, the dependent variable is "v" and the independent variable is "t".
At a certain intersection, the light for eastbound traffic is red for 15 seconds, yellow for 5 seconds, and green for 30 seconds. What is the probability that the light is red? Using the binomial distribution, what is the probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light?
a)P(red)=.15,P(exactly3getstopped)=.08
b)P(red)=.15,P(exactly3getstopped)=.97
c)P(red)=.3,P(exactly3getstopped)=.8
d)P(red)=.3,P(exactly3getstopped)=.25
The Probability of red light is 0.3
P(red) = 0.3
The probability that out of the next eight eastbound cars that arrive randomly at the light, exactly three will be stopped by a red light be 0.25.
P(exactly three get stopped by red light)=0.25
The correct option is (d) P(red)=.3,P(exactly 3 get stopped)=.25
What is Binomial distribution?
A binomial distribution can be thought of as simply the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times.
The occurrence,
Red light= 15 sec, Yellow light= 5 sec, Green light= 15 secp= probability of a red light
=[tex]\frac{15}{15+5+30}[/tex]
= [tex]\frac{15}{50}[/tex]
= 0.3
Hence, Probability of getting red light be,
P (red)= 0.3
Now, the Binomial distribution formula,
Probability=( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]
where, r = number of times for a specific outcome within n trials
[tex]_r^nC[/tex] = number of combinations
p = probability of success on a single trial
q = probability of failure on a single trial
n = number of trial
According to question,
r= 3 (Exactly three)n=8 (eight eastbound)p(red) =0.3q= 1 -p= 1- 0.3
= 0.7
Now using the formula, ( [tex]_r^nC[/tex])[tex]\;p^{r} \;q^{n-r}[/tex]
P( exactly 3 get stopped) = ( [tex]_3^8C[/tex])[tex]\;(0.3)^{3} \;(0.7)^{8-3}[/tex]
= [tex]\frac{8!}{3!(8-3)!}[/tex] [tex](0.027) \; (0.7)^{5}[/tex]
= [tex]\frac{8!}{3!(5)!}[/tex][tex](0.027) \; (0.16807)[/tex]
= [tex]\frac{8 * 7 * 6 }{3 * 2}[/tex] x 0.027 x 0.16807
= 56 x 0.00453789
= 0.25412184
≈ 0.25
Hence, Probability of next eight eastbound so that exactly three will stopped by a red light be 0.25.
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To convert temperature between degrees Fahrenheit to degrees Celsius, we use the formula C = 5/9(F-32).
What is 10° Celsius in degrees Fahrenheit?
A. 40°
B. 45°
C. 50°
D. 55°
m+ 7 = 3 + m+4
A. m =1/4
B. m =-7
C. no solution
D. infinite solutions
Answer:
D. infinite solutionsStep-by-step explanation:
Given equation
m + 7 = 3 + m + 4Simplify it to get
m + 7 = m + 7We have both sides equal, if we simplify further it will result in correct equation
0 = 0Regardless the value of m, the equation remains correct. It means it has infinite solutions
Correct choice is D
Both sides are equal equation has infinite solutions
Option D
Write an equation for a function whose graph has exactly two x-intercepts, one at x=-6 and the other at x=3.
Answer:
y = x^2 + 3x - 18
Step-by-step explanation:
A parabola with zeroes at x = - 6 and 3 would look like this:
(x+6)(x-3) = x^2 + 3x -18
9,15,21 find the 38th term
Answer:
231
Step-by-step explanation:
The pattern is add 6. But it is more easier to use the linear function: 6x+9. Since this starts with 0, we plug in 37 for x instead of 38.
30 books = 45kg
45 books = ?
Answer:
67.5 kg
Step-by-step explanation:
To determine the weight of 45 books, we need to determine the weight of one book, using the equation (30 books = 45 kg). This can be done by dividing 30 to both sides of the equation. Therefore,
⇒ 30 books/30 = 45/30 kg⇒ 1 book = 45/30 kg = 3/2 kg = 1.5 kgWe obtained the following equation;
⇒ 1 book = 1.5 kgNow, multiply both sides by 45 to determine the weight of 45 books.
⇒ 1 book × 45 = 1.5 kg × 45⇒ 45 books = 67.5 kgTherefore, the weight of 45 books is 67.5 kg.
Answer:
[tex]\huge\boxed{\bf{45books = 67.5kg}} [/tex]
Step-by-step explanation:
Given:-
30 books = 45kgTo find:-
45 books = ?Ans:-
30books = 45kg
45books = y kg
Let's find 45 books (y)
[tex]\sf \to \frac{30}{45} = \frac{45}{y}[/tex]
[tex]\sf \to 45*45 = 30*y[/tex]
[tex]\sf \to 2,025 = 30*y[/tex]
[tex]\sf \to y = \frac{2,025}{30}[/tex]
[tex]\sf \to y = 67.5kg[/tex]
~therefore 45books = 67.5kg
[tex]\:[/tex]
[tex]\huge\colorbox{red}{BlackPain}[/tex]
Which equation best represents the relationship between x and y in the graph?
Answer:
A is the answer
Step-by-step explanation:
Here is one way pick two easy points (-4,0) and (0,-3)
and sub into each of the equations until you find the one that 'fits'
What is the geometric mean 2 and 7?
Answer: [tex]\sqrt{14}[/tex]
Work Shown:
[tex]\text{x} = \text{geometric mean of A and B}\\\\\text{x} = \sqrt{A*B}\\\\\text{x} = \sqrt{2*7}\\\\\text{x} = \sqrt{14}\\\\[/tex]
Which of the following is an equivalent expression to the expression a1/3 / a1/4
A. A1/12
B. A7/12
C. 1/1/1/a12
D. 1/7/a12
Answer:
Option A :- [tex] \sf {a}^{\frac{1}{12}} [/tex]
Step-by-step explanation:
[tex] \hookrightarrow \sf \: \frac{ {a}^{ \frac{1}{3} } }{ {a}^{ \frac{1}{4} } } [/tex]
Simplify the expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{1}{3} - \frac{1}{4} }[/tex]
Transform the Expression
[tex] \hookrightarrow \sf \: {a}^{ \frac{4 - 3}{12} }[/tex]
Calculate
[tex] \hookrightarrow \sf {a}^{\frac{1}{12}} [/tex]
Answer:
Option A
Step-by-step explanation:
Exponent Law: In exponent division, if base are same, subtract the powers
[tex]\sf \dfrac{a^m}{a^n}=a^{m-n}[/tex]
[tex]\sf \dfrac{1}{3}-\dfrac{1}{4}=\dfrac{1*4}{3*4}-\dfrac{1*3}{4*3}[/tex]
[tex]\sf =\dfrac{4}{12}-\dfrac{3}{12}\\\\=\dfrac{1}{12}[/tex]
[tex]\sf \dfrac{a^{\frac{1}{3}}}{a^{\frac{1}{4}}}=a^{\frac{1}{3}-\frac{1}{4}}[/tex]
[tex]=a^{\frac{1}{12}}[/tex]
Which formula can be used to find the centripetal acceleration of an orbiting object? ac = startfraction the square root of v over t endfraction. ac = startfraction v superscript 2 baseline over t endfraction ac = startfraction v superscript 2 baseline over r endfraction. ac = startfraction the square root of v over r endfraction.
The formula which can be used to find the centripetal acceleration is:
ac = startfraction v superscript 2 baseline over r endfraction
What is centripetalacceleration?This is simply the acceleration of an object moving in a circulation motion.
The centripetal acceleration can be expressed mathematically as
a꜀ = v² / r
Where
a꜀ is the centripetal acceleration v is the velocity of the object r is the radiusWith the above formula, we can conclude that the correct answer to the question is:
ac = startfraction v superscript 2 baseline over r endfraction
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Answer:
(c)
Step-by-step explanation:
I took the test
Just need the answer fast pls help
Answer:
Answer is D. [tex]\frac{121}{49}a^8b^2[/tex]
Step-by-step explanation:
We expand the powers.
[tex]\frac{11}{7}^2*(a^4)^2*(b)^2\\\frac{11}{7}*\frac{11}{7}*(a^4)(a^4)*(b*b)\\\frac{121}{49}*(a^8)*(b^2)[/tex]
when doing variable power you add them together.
a^4*a^4=a^(4+4) , b^1*b^1=b^(1+1)
Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Answer:
No, it will quadruple.
Step-by-step explanation:
If a figure is scaled up by some amount x(by multiplying), while still being the same shape, the surface area will scale up by x^2, and the volume will scale up by x^3.
simplify the given expressions and then write your answer in standard form.
1.456×100000000
Answer:
145600000
Step-by-step explanation:
Please mark as branliest !
Write the equation of this line in slope-intercept form.
Answer:
Slope-Intercept Form: [tex]y = 2*x -3[/tex]
or
Point-intercept form: [tex]y-(-3)=2(x-0)[/tex]
Step-by-step explanation:
Method 1: Start from 1 point and then count the rise overrun.Slope-Intercept Form: [tex]y=mx+b[/tex]
Start from the Y-axis where [tex]b=-3[/tex] then rise/run to the next point. making that our slope.
Method 2: Using the point-intercept formPoint-intercept form: [tex]y-y_0=m(x-x_0)[/tex]
Solve the slope using the two points.
[tex](0,-3)[/tex] and [tex](2,1)[/tex] plug those values into the formula. Make [tex](x,y)=(0,-3)[/tex] and [tex](x_0,y_0)=(2,1)[/tex]
[tex]-3-1=m(0-2)[/tex]
[tex]-4=m(-2)[/tex]
[tex]m=-2[/tex]
[tex]y-(-3)=-2(x-0)[/tex]
jim has a dog. jim buys 6 bags of dog biscuits. there are 27 biscuits in each bag of dog biscuits. jims dog eats 5 dog biscuits each day. has jim brought enough dog biscuits for 4 weeks. you must show how you got your answer
Answer:
i will give it to you
Step-by-step explanation:
that's it for you dear
The relationship between food purchased and food eaten by dogs can be written as, 162 biscuits ≥ 80 biscuits
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
First, let's calculate the total number of dog biscuits that Jim has bought:
= 6 bags × 27 biscuits per bag
= 162 biscuits
Next, let's calculate how many biscuits the dog will eat in 4 weeks:
= 4 weeks × 5 biscuits per day
= 20 biscuits per week
20 biscuits per week × 4 weeks = 80 biscuits
So, Jim has bought 162 biscuits and his dog will eat 80 biscuits in 4 weeks. This means that Jim has brought enough dog biscuits for his dog for 4 weeks.
162 biscuits ≥ 80 biscuits
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Please please help, I will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.
A. 108°
B. 36°
C. 72°
Answer: l08
Step-by-step explanation: It's becuase 36 x 3 is 108
find the value of x. 2x 20
Answer:
X = 10
Step-by-step explanation:
Since 2x = 20
we can divide 2 from both sides giving us x = 20/2
Therefore , x = 10 because 20 divided by 2 is 10
Answer:
X= 10
Step-by-step explanation:
2X=20
Then Divide both sides by 2 in order to find the value of X
2X/2=20/2
X= 10
Evaluate e3/2 to one decimal place
Answer:
Assuming you mean e to the power of 3/2, your answer should be 4.5. (4.482 rounded to the tenth.)
Step-by-step explanation:
"e" is simply 10 with an exponent. "e" to the power of 3/2 means [tex]10^{3/2}[/tex].
Plugging this in comes up with approximately 4.482 which can be rounded to 4.5.
Answer:
4.5
Step-by-step explanation:
The following table shows the first two years of a three-year amortization schedule. a 3-year amortization schedule. the payments are the same, the principal increases, the interest decreases, and the balance decreases over the 3 years. use the information in the table to decide which of the following statements is true. a. the interest amount increases each month. b. the principal amount decreases each month. c. the payment amount changes each month. d. the payment amount each month stays the same.
The true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
What is an increasing amount?Amount whose value increases from its past value is called increasing amount.
The missing table is attached below.
Checking the validity of each option:
Option a: the interest amount increases each month.We see from the table that interest in each previous month is bigger than next month, for example, in first month, it was $56.33, and in next month, it was $54.99, so interest is decreasing.
Thus, this option is not correct.
Option b. the principal amount decreases each month.The principal amount in any previous month is smaller than the next month principal amount. For example, in first month, the principal amount was $184.96 and in next month, it became $186.33, so the principal amount is increasing.
Thus, this option is not correct.
Option c. the payment amount changes each month. Option d. the payment amount each month stays the same.Option C is false and option D is true. It is because the payment is constant $241.32(iie, it doesn't change, and therefore stays the same) in each of the months.
Thus, the true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
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What is the area of a rectangle that measures 4 meters wide and 6 meters long?
Answer:
The area of the rectangle is 24.
Step-by-step explanation:
To find the area it is Legth x Width
Therefore, 4 * 6 is 24
The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?
The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%
One standard deviation above the mean
1 std above mean = M + d = 43.8 + 5.1 = 48.9
One standard deviation below the mean1 std below the mean, = M - d = 43.8 - 5.1 = 38.7
Probability of normal distributionThe probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%
Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.
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Answer:
A, 68%
Step-by-step explanation:
edge
A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end
of each day for the 7 days. What was the average number of pages the student read per day from the end of day 2 to the end of day 6
To find the average number of pages the student read from day 2 to day 6, add the total pages in these days and divide by 5 days.
What is the average?This is a very common word used in mathematics and stadistics to refer to the mean value in a set of values.
How to calculate the average from day 2 to day 6?Add the pages the person read these days and then divide by 5 (total of days).
For example:
35 + 45 + 10 +25 + 20 = 135 / 5 = 27 pages
Note: This question is incomplete because the table is missing; due to this, the answer is based on general knowledge.
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