Answer:
0.15p
Step-by-step explanation:
6. The amusement park won't allow kids to ride
roller-coasters until they are a minimum of 48
inches tall. Michael is now 42 inches tall, and
grows about 1/2 inch every month. How many
months will it be until Michael can ride a roller-
coaster?
Answer:
In 1 year ( 12months ) ...............
Answer:
It is 1 YEAR OR 12 MONTHSSSSS
Step-by-step explanation:
The probability of a car sold is white is 0.12
Probability of a car sold is block is 0.19
How many of the next 200 cars sold are likely to be white and how many are likely to be black?
A) white:11/black:10
B)white:21/black:19
C) white:42/black:38
D)white:80/black:80
Answer:
C
Step-by-step explanation:
Black = 200 x 0.19 = 38
White = 200 x 0.12 = 24
Which expressions are completely factored?
Select each correct answer.
Responses
16a5−20a3=4a3(4a2−5)
16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis
12a3+8a=4(3a3+2a)
12 a cubed plus 8 a equals 4 left parenthesis 3 a cubed plus 2 a right parenthesis
30a6−24a2=3a2(10a4−8)
30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis
24a4+18=6(4a4+3)
24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis
The expressions that are completely factored are:
16a5−20a3=4a3(4a2−5) is correct.12a3+8a=4(3a3+2a) is correct.24a4+18=6(4a4+3) is correct.Why are they considered to be correct?The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.
For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.
Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).
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Answer:
16a^5−20a^3=4a^3(4a^2−5)
and
24a^4+18=6(4a^4+3)
Step-by-step explanation:
Convert f ( x ) = 48 ( 1.02 ) x to the form f ( x ) = a e k x . Round k to 4 decimal places.
The function in the required form is f(x) = 48*e^(0.0198*x)
How to convert the function from one form to anotherFrom the question, we have the following parameters that can be used in our computation:
f(x) = 48(1.02)^x
The second form is given as
f(x) = a*[e^k]^x
This implies that (when compared)
e^k = 1.02
Take the natural logarithm in both sides:
ln(e^k) = ln(1.02)
So, we have
k*ln(e) = ln(1.02)
This gives
k = ln(1.02) = 0.0198
Hence, the exponential function is: f(x) = 48*e^(0.0198*x)
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Anybody Know This. ?
Answer: 4 feet
Step-by-step explanation:
In order to determine the length of side, we need to use what is called the Pythagorean theorem, which states: a² + b² = c² The a and b in this equation are both of the sides of the triangle that we call legs. (I have attached a picture for reference if you do not know what sides I am referring to). The c in this equation refers to the hypotenuse of the triangle. (Again, please refer to the attached photo).
So now, we need to plug in the information we already know into this equation. The height of the ramp will be our a and the distance from the box will be our b. We can see that the hypotenuse (c) is labeled as 5, so we can fill in that information in our equation.
a²+b²=5² (simplify by squaring the 5)
a²+b²=25
Next, we know that the height of the box is 3 feet, which let's us know that our a is 3. Let's plug this new information in.
3²+b²=25 (simplify by squaring the 3)
9+b²=25 (simplify by substracting the 9 from both sides)
25 - 9 = 16b²=16
Hey! Now our equation looks much simpler! Now, all we need to do it square root both of the sides in order to get b by its self.
b²=16
√b² = b
√16 = 4
Final answer: b = 4
I truly hoped this explanation helped! If you feel you still need a bit of help, David May explains the Pythagorean theorem very well in his video titled, "Find The Hypotenuse Using Pythagorean Theorem | Dave May Teaches" if you would like to check it out. Take care! :)
The domain of a function is
Answer:
The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
Step-by-step explanation:
I hope this helped ;)
What is the answer?
2/5 + 3/4
Take LCM
5×4=20Now
2/5+3/48+15/2023/20Answer:
23/20
Step-by-step explanation:
2/5 + 3/4
LCM = 5 * 4 = 20
=》2/5 * 4/4 = 8/20
=》3/4 * 5/5 = 15/20
So,
2/5 + 3/4
= 8/20 + 15/20
= 23/20
_________
Hope it helps ⚜
I WILL GIVE THE BRAINIEST
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an
Now let a be the number of students who went on the trip and s9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
How to write an equation to determine the number of students that went on this trip?In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;
Let the variable s represent the number of students who went on the trip.Let the expression s + 9 represent the original number of students who had planned to go on the trip.Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;
\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)
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Complete Question:
A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.
However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.
Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip
What equation can be written to determine the number of students that went on this trip?
One day is the amount of time it takes for a planet to make one complete rotation. The number of hours in one day is different for each plane. How many days are equal to 1,100 hours on Saturn? Show your work.
The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars
How to determine the number of days of 1100 hours?From the question, we have the following table of values that can be used in our computation:
Planet Length of one day (hours)
Earth 24
Mars 25
Saturn 11
Also, we have
Number of hours on Saturn = 1100
So, we can represent the table of values as a ratio
Earth : Mars : Saturn = 24 : 25 : 11
Substitute Number of hours on Saturn = 1100 in the ratio
Earth : Mars : 1100 = 24 : 25 : 11
Multiply the ratio by 100
So, we have
Earth : Mars : 1100 = 2400 : 2500 : 1100
This means that
Earth = 2400 hours
Mars = 2500 hours
Divide by 24 and 25
Earth = 100 days
Mars = 100 days
Hence, the number of days on Earth is 100 days
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The number of days that are equal to 1,100 hours on Saturn is given as follows:
100 days.
What is a proportion?A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.
The length of one day in Saturn, from the table, is given as follows:
11 hours.
Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:
1 day - 11 hours
x days - 1100 hours.
Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:
11x = 1100
x = 1100/11
x = 100 days.
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What is the unit cost per bottle if a pack of 12 bottles of juice sells for $6? (1 point)
$0.50 per bottle
$0.72 per bottle
$5.00 per bottle
$7.20 per bottle
Step-by-step explanation:
12 bottles = $6
1 bottle = 6/12
= $0.50 per bottle.
Hope it helps :)
which is the smallest
(a)-1
(b)-1/2
(c)0
(d)3
Answer:
A
Step-by-step explanation:
using the given function g(x) in comparison to its parent function f(x)=x^2 describe the transformation that occurred. g(x)=(x+5)^2
Answer:
the number has 2 resumable 6+5
I KNOW YOU SEE THIS, please I need help I honestly just want the answer
Given the expression:
\(\sqrt[]{8a^3b^{11}}\)The square root will be calculated as follows:
\(\begin{gathered} 8=4\times2=2^2\times2 \\ a^3=a^2\times a \\ b^{11}=b^{10}\times b=(b^5)^2\times b \\ \\ \sqrt[]{8a^3b^{11}}=2ab^5\sqrt[]{2ab} \end{gathered}\)So, the answer will be option
Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple
interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual
interest is 3120 dollars. How much did she invest at each rate?
Amount invested at 3 percent interest is $____
Amount invested at 9 percent interest is $___
Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.
To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.
For the 3 percent interest account:
Interest_3_percent = x × 0.03
For the 9 percent interest account:
Interest_9_percent = 2x × 0.09
We know that the total annual interest is $3120, so we can set up the equation:
Interest_3_percent + Interest_9_percent = 3120
Substituting the above equations, we have:
x × 0.03 + 2x × 0.09 = 3120
Simplifying the equation:
0.03x + 0.18x = 3120
0.21x = 3120
Dividing both sides of the equation by 0.21:
x = 3120 / 0.21
x = 14857.14
Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.
Answer:
Step-by-step explanation:
X is the amount invested at 6%
Y is the amount invested at 9%
0.06X + 0.09Y = 4998
X = 2Y
0.06(2Y) + 0.09Y = 4998
.12Y + 0.09Y = 4998
0.21Y = 4998
21Y = 499800
Y = 499800/21 = 23800
So X = 2*23800 = 47600
$47,600 is invested at 6% and $23800 is invested at 9%
An investor makes an investment of $1,000,000.00 to buy a small, select service hotel in Daytona Beach. She achieves a
$200,000 profit on that investment. In this example, what was her ROI?
Anyone??
Answer:
In terms of %, it's 20%.
Step-by-step explanation:
Used an ROI calculator:
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
I don’t understand this question
Answer:
First pair: -4 and 8
Second pair: -2 and 6
Third pair: -1 and 5
Step-by-step explanation:
-4 + 8 = 4
-2 + 6 = 4
-1 + 5 = 4
Hope this helps
Cost of a bicycle: $1,500.00
Markup: 25%
Answer:
1875
Step-by-step explanation:
1500 x .25 is 375 add them together
(Will give you alot of points please help ASAP)Are these ratios equivalent?
5 altos for every 4 sopranos
15 altos for every 13 sopranos
Group of answer choices
Yes
No
Answer: No
==================================================
Work Shown:
(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)
5/4 = 15/13
13*5 = 4*15 .... cross multiply
65 = 60
The last equation is false, so the first equation is false
---------------
Alternative ratio
(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)
5/15 = 4/13
5*13 = 15*4
65 = 60
We end up with the same false equation
The given values are not in the same proportion.
The ratios are not equivalent.
------------------
Yet another way to look at it
Note the jump from 5 altos to 15 altos is "times 3"
So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.
If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.
The sum of three consecutive integers is 147. Find the integers.
The integers are
(Use a comma to separate answers.)
(Answer quickly)
First, let's declare our variables.
x = variable 1
x + 1 = variable 2
x + 2 = variable 3
Now, let's create our expression.
x + x+1 + x+2 = 147
Let's add like terms
3x + 3 = 147
Subtract 3 from both sides
3x = 144
Divide both sides by 3
x = 48
x + 1 = 48 + 1 = 49
x + 2 = 48 + 2 = 50
5. The quotient of a and b is negative. Decide if each statement about a and b is true or false.
(4 pts)
True False
a. The quotient b + a is positive.
b. The product ab is negative.
c. Either a or b must be negative.
d. The quotient -a + b is negative.
Deciding if each statement about a and b is true or false.
a)False
b)True
c)True
d)False
Given:
The quotient of a and b is negative.
a.
If quotient is negative means the dividend or divisor any one is negative so when the quotient b+a is always negative so given statement is false.
b.
The product ab is always negative because if the quotient is negative means either a or b is negative so ab is negative.
So given statement is true.
c.
Either a or b must be negative is true because if no element a or b is not negative we cannot produce a negative quotient hence either a or b must be negative.
d.
The quotient -a+b is negative is false because if the quotient is negative the values of a and b is one positive and one negative the positive number that is b greater than -a in that case the statement is false.
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Can someone help me please?
ASAP
Answer:
y = 12 x = 12\(\sqrt{3}\)
Step-by-step explanation:
This is a 60, 90, 30. It's a special triangle.
2z = 24
z = 12
If x = z\(\sqrt{3}\)
then x = 12\(\sqrt{3}\)
y = z itself
So y = 12
please help me !!!!!!
Answer:
okay!
Step-by-step explanation:
its B
Answer:
C)
Step-by-step explanation:
option—B&Dwe eliminate these two options
because remember quadratic function standard form
\( \displaystyle f(x) = {ax}^{2} + bx + c\)
recall that, if
a is negative then the graph will flip upside downbut a is positive so it won't flip upside down therefore,
these two are our answer
option-A:it seems good but it's not the answer according to the given condition however it's true for the opposite of the given condition:
option-C:it's our answer since the condition x<-2 for the quadratic function tells us everything is input For x which is less than -2 the graph-c as well yields so
likewise the absolute value function. the condition tells everything is input for x which is greater than or equal to -2 the graph also says so
hence our answer is C
there are 12 girls and 14 boys in class today. what is the ratio of girls to boys?
Answer:
12:14 or 6:7
Step-by-step explanation:
If there are 12 girls and 14 boys in class then the ratio could be simplified from 12:14 to 6:7 by dividing by 2.
Andre took 6 kicks. He made 4 goals: 4/ 6 . Tom took 12 kicks. He wants to make an equivalent fraction of goals. How many goals does he have to make to be equal to 4 6 ?
Answer:
Step-by-step explanation:
Answer is - 8/12
Because-
Andre took 6 kicks - Given.
He made 4 goal - also given
the fraction now will be = 4/6
Now he made 12 kicks.
So,
4/6 X 2/2 = 8/12
Hope it helped
What is the value of x in the figure?
Enter your answer in the box.
Answer:
68
Step-by-step explanation:
That's an intersection, meaning that all 4 sides are equal. So if one is 90⁰, then they are all 90⁰. 90-22= 68
4 ways to simplify 4(5+6)
Answer:
see explanation.
Step-by-step explanation:
1. Solve 5+6
Simplify:
4*11.
2. A different equation.
Simplify:
(4*5)+6
this is all I can think of.
hope this helps.
find the area that the curve encloses and then sketch it. r2 = 9 cos(2θ)
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
Can you help me with this ?
This question is of a topic called subset that is a part of set theory.
statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.
I assume the questioner has the basic understanding of set theory and what subsets are.
Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.
Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }" that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set
{11, 13, 15} is not equal to set { 11, 12, 13, 14, 15, 16, ... }.
statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.
statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.
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