What is the base of the expression 6^-4?
Answer:
The 6 is the base of the expression
Step-by-step explanation:
The base number is the number in front of the exponent.
So [tex]6^{-4}[/tex] the 6 is the base of the expression
Find the gradient of the line passing through (0,2) and (3,5)
pls i need for hwk
Answer:
The gradient is 1
Step-by-step explanation:
m, gradient= (y2-y1) ÷ (x2-x1)
21. Paul has $900 to invest in a savings account that has an annual interest rate of 1.8%, and a money market account that pays 4.2% per year. Write a polynomial for the interest he will earn in one year if he invests x dollars in the savings account.
The polynomial that gives the interest earned after a year will have variables, exponents and constants that are joined by operators.
The interest earned after one year is 0.018·xReasons:
The amount Paul has to invest = $900
The annual interest rate from the savings account = 1.8%
The amount the money market account pays per year = 4.2 %
Required: The polynomial for the interest Paul earned by investing x dollars in the savings account.
Solution:
The interest earned is found using the compound interest formula as follows;
[tex]\displaystyle A = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t}}[/tex]
Where;
A = The amount in the account after one year
P = The original amount invested = x
r = The interest rate offered on the investment = 1.8% = 0.018
t = The time of the investment = 1 year
n = The number of times of application of the interest per period = Once per year
Which gives;
Interest = Amount earned = A - P
Therefore;
[tex]\displaystyle Interest, \ I = \mathbf{P \cdot \left(1 + \frac{r}{n} \right)^{n \cdot t} - P}[/tex]
Plugging in the values gives;
[tex]\displaystyle I = x \cdot \left(1 + \frac{0.018}{1} \right)^{1 \times 1} - x = x \cdot 1.018^1 - x = 1.018 \cdot x - x = 0.018 \cdot x[/tex]
The polynomial equation is therefore;
Interest, I = 0.018·x
Using the simple interest formula, we have;
[tex]\displaystyle Interest = \mathbf{\frac{P \times r \times t}{100}}[/tex]
Which gives;
[tex]\displaystyle Interest = \frac{x \times 1.8 \times 1}{100} = 0.018 \cdot x[/tex]
Interest earned by investing in the savings account for one year, I = 0.018·x
The polynomial representing the interest earned is I = 0.018·xLearn more here:
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At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.
Answer:
Y=-4x+99
Step-by-step explanation:
Your y intercept is always the last number in the equation
The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.
Therefore, the slope of the line is;
m = Δy/Δx
m = 4
The equation in slope-intercept form is;
Y=-4x+99
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[tex]\boxed{\sf 3x-12=3}[/tex]
Answer:
x = 5Step-by-step explanation:
Question:To find the value of xGiven Equation:3x - 12 = 3Solution:=> 3x - 12 = 3
[On putting the like terms on one side of the equation]=> 3x = 3 + 12
[On adding like terms]=> 3x = 15
[Dividing both sides with 3][tex] = > \frac{3x}{3} = \frac{15}{3} [/tex]
[On Simplification]=> x = 5 (Ans)
[tex]\sf 3x - 12 = 3[/tex]
[tex]\sf \longmapsto3x = 3 + 12[/tex]
[tex]\sf \longmapsto3x = 15[/tex]
[tex]\sf \longmapsto \: x = \frac{15}{3} [/tex]
[tex]\sf \longmapsto{x} = 5[/tex]
[tex] \boxed{ \sf \: 5}[/tex]
4, 3.7, 3.4, 3.1, ____, ____, ____ what are the next terms
Answer:
the next terms are 2.8 , 2.5 and 2.2
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
PLEASE HELP I REALLY NEED HELP!
Answer:
It should be C. AAS
Step-by-step explanation:
There are symbols on the triangle indicating a shared right triangle, congruent angles, and a shared congruent side.
Hope this helps :)
Answer:
Yes, AAS
Step-by-step explanation:
Reduce the fraction to lowest terms 16/24
Answer:
2/3 is the anwer.
Step-by-step explanation:
Please help with this math
Answer:
676
Step-by-step explanation:
You need to find out abcde and then find out what bd is after that you must divide them both by 3
Hope that helped
Ive been asking but people just send me adult links can someone help?
Answer:
x=15
Step-by-step explanation:
The triangles are the same so they have the same sides
x+9=2x-6
9=x-6
15=x
In a standard card deck, there are 52 different cards, which are divided into 4 suits (spades, diamonds, clubs, and hearts), with each suit containing 13 cards. What is the probability that in a randomly selected rearrangement of the card deck, the 3 of spades is after all the hearts
In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.
Consider some possible orderings of the deck:
• If the 3 of spades is the 14th card, then the deck looks like
[all 13 ♥] … 3 ♠ … [all other 38 cards]
There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.
• If 3 ♠ is the 15th card, then the deck looks like
[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]
and there would be 14! × 37! ways of arranging the cards in this order.
There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is
[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]
There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is
[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]
What is the Y-Int, Slope, and Slope-Intercept form? Need help!
PLEASE HELP ME IM SORRY PLEASE
Hello! (:
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5 less than 3.1 times a number n:
3.1n-5
Four more than the quotient of 12 and a number n:
n/12+4
Hope this helps you!
~SparklingFlower
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In a certain year, 20% o RSM AMC 10 participants were invited to compete in American Invitational Mathematics Examination. How many RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME
Answer:
765 students
Step-by-step explanation:
x- total number of students
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students
The total number of RSM students participated in AMC 10 that year if 153 of them were invited to take part in AIME is, 765.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
According to the given information, 20% of RSM AMC 10 participants were invited to compete in AIME.
If 20% of students are 153 then 100% of RSM students participate in AMC10 is given as;
x be the total number of students
Therefore,
20% of x=153
20/100=153/x
20x=15300
x=765
Therefore, 765 students.
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Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:
Answer:
y > x - 2
y >= 5x + 1
Step-by-step explanation:
Linear inequalities represented by the graph are y>5x+1 and y>x-2
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The first line passes through the points
(0, 1) and (-1, -4)
The slope of line is m=-4-1/-1=5
Let us find the y intercept
1=5(0)+b
b=1
So the equation of line is y=5x+1
As the shading is outside so y>5x+1
Now let us find for 2nd line
(2, 0) and (-2, -4)
m=-4/-4=1
Now y intercept is 0=2+b
b=-2
So equation is y=x-2
As shading is outside so y>x-2
Hence, linear inequalities represented by the graph are y>5x+1 and y>x-2
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Quadrilateral LKMN is similar to quadrilateral OPQR. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
Answer:
The answer is 12.6
Step-by-step explanation:
See the solution in the picture.
On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minutes for the traffic light to turn green. She then walked her bike across the street and up a short steep hill. Finally, she rode the bike at a constant speed for one more mile. If Mary created a graph of her time and distance, which statement describes the part of her graph that would show no change in distance?
A.Mary used her bike to ride the first mile.
B.Mary stopped and waited for the traffic light to turn green.
C.ary walked her bike across the avenue and up a short hill.
D.Mary rode her bike at a constant speed for one mile.
Answer:mile.
B.Mary stopped and waited for the traffic light to turn green.
Step-by-step explanation:
edge 2020 its simp3l
How to find integral of absolute value.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
P: It's sunny.
Q: It's snowing.
R: It's not raining.
Translate the following symbols: P -> Q
O It's not sunny and it's snowing.
O It's sunny if and only if it's snowing.
O If it's not sunny, then it's not snowing.
O If it's sunny, then it's snowing.
Answer:
I think the answer is c
Step-by-step explanation:
please give me brainlist
please help me out yall!!
Answer:
c
Step-by-step explanation:
In 161616 years, Ben will be 333 times as old as he is right now.
How old is he right now?
Answer:
8
Step-by-step explanation:
I'm going to guess there's a typo in the question and it should be
In 16 years, Ben will be 3 times as old as he is right now.
x + 16 = 3x
subtract x from both sides
16 = 2x
Divide both sides by 2
8 = x
x = 8
Angela has 3 gallons of milk.how many quarts of milk dose she have
Answer:
12
Step-by-step explanation:
4 quest make 1 gallon so 4*3=12
A recipe requires 2/5 cup of sugar for 1 batch of brownies enter the number of batches of brownies that can be made using 3 1/5 cups of sugar
Answer:
8 batches
Step-by-step explanation:
You would have to divide 3 1/5 by 2/5, which gets you 8 batches of brownies.
grace read 4 days a this week. She reads 10 minutes each day. if her teacher wants her to read a total of 60 minutes, how many more minutes does grace need to still read?
Answer: 20 more minutes
Step-by-step explanation:
Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour
Grace needs 20 minutes more to read.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Grace read 4 days a this week.
In one day she read= 10 minutes
So, in 4 days she read = 4 x 10
= 40 minutes.
So, total time taken = 60 minutes.
Thus, she needs to read (60 - 40) = 20 minutes.
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What is the product of (3^5) (2^5) (3^4)
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Answer:
See belowStep-by-step explanation:
30×60×90 right triangle has side ratios as:
s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse45×45×90 right triangle has side ratios as:
l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuseIf you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3b) 45×45×90 right triangle
Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11c) 30×60×90 right triangle
Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probability, assuming a confidence level of 86%? 0. 14 0. 86 0. 93 0. 99.
The critical probability assuming a confidence level of 86% is;
Option B; 0.86
We are given the confidence level as 86%. This means that the probability of the mean of the normally distributed population being true is 86%.
This means that the critical probability is the value of z at 86% or 0.86
So when we find the value of z at that value, we will use it to get the margin of error.
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write 5 3/5 improper fraction
Answer:
28/5 is the answer.
Step-by-step explanation:
Multiply the denominator by the whole number
5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help me with math!!!!
Answer:
Step-by-step explanation:
Option c is best.
x is less than equal to 2 that's why the graph of line moves toward the left side.