Answer:
1000
Step-by-step explanation:
each number is 10 times more intense than the previous
What is the value of n?
1339
nº
142"
A. 470
B. 810
C 389
D. 850
Answer:
D
Step-by-step explanation:
The sum of all exterior angles of a triangle is 360° so n + 133 + 142 = 360 and n = 85°.
Answer:
it is 85
Step-by-step explanation:
133+142=275
360-275=85
The graph of f(x) = ax^2 opens upward and is narrower than the graph of g(x) = x^2 . Which of the following could be the value of a?
A. -0.5
B. 6
C. 0.25
D. -2
Answer:
Option C.
Step-by-step explanation:
The given functions are
[tex]f(x)=ax^2[/tex]
[tex]g(x)=x^2[/tex]
It is given that the graph of [tex]f(x)=ax^2[/tex] opens upward and is narrower than the graph of [tex]g(x)=x^2[/tex].
Graph of [tex]f(x)=ax^2[/tex] opens upward, it means coefficient of [tex]x^2[/tex] must be positive.
Graph of [tex]f(x)=ax^2[/tex] is narrower than the graph of [tex]g(x)=x^2[/tex], it means coefficient of [tex]x^2[/tex] must lies between 0 to 1, i.e., [tex]0<|a|<1[/tex].
From the given options, only 0.25 is a positive number whose absolute value lies in between 0 to 1.
Therefore, the correct option is C.
Following are the solution to the graph function:
Given:
Graph function:
[tex]\to f(x)=ax^2\\\\\to g(x)=x^2\\\\[/tex]
Solution:
It is assumed that its graph of [tex]f(x)=ax^2[/tex] is narrower more expands upwards than the graph of [tex]g(x)=x^2[/tex].The graph of [tex]f(x)= ax^2[/tex] expands upward, suggesting that the [tex]g(x)=x^2[/tex] coefficient must be positive.Since the graph of [tex]f(x)=ax^2[/tex] is thinner than that of the graph of [tex]g(x)=x^2[/tex], it implies that the coefficient of [tex]x^2[/tex] has to be between 0 to 1, i.e. [tex]0<|a| <1.[/tex] .Only 0.25 is a positive number with just an absolute value between 0 and 1 among the available alternatives.Therefore, the final answer is "Option C".
Learn more about the graph:
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Can someone help me on this?
Answer:
the triangle PQR is similar to RTS
Step-by-step explanation:
QR : RT
2 : 6
this 1:3 ratio is also seen in PR (4) with RS (12)
Solve x + 5x – 14 = 0
I’m doing factorising and solving quadratics.
Answer:
x + 5x = 14
6x = 14
x = 14/6
x = 7/3
Step-by-step explanation:
Match each quadratic function with its respective graph.
f (x) = x^2 + 6x - 5
f (x) = x^2 - 4x + 5
f (x) = -x^2 - 2x +3
f (x) = x^2 + 4x - 5
f (x) = -x^2 + 2x - 3
f (x) = x^2 - 6x + 5
The quadratic functions that fits with its respective graph are.
1). f (x) = x^2 - 4x + 5
2). f (x) = -x^2 - 2x +3
3). f (x) = x^2 - 6x + 5
Here is how it looks.
The graph has been plotted to show the graphs that corresponds to the equations.
What is a Quadratic Equation?A quadratic equation is what can be written in the form of ax²+bx+c=0
The equations given are
f (x) = x² + 6x - 5
f (x) = x² - 4x + 5
f (x) = -x² - 2x +3
f (x) = x² + 4x - 5
f (x) = -x² + 2x - 3
f (x) = x² - 6x + 5
The quadratic equations are plotted to determine which graph is corresponding to which equation.
To know more about Quadratic Equation
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1. Which number is greater: 35% or 3.5?
Answer:
3.5
Step-by-step explanation:
35% is only 0.35
Answer:
3.5
Step-by-step explanation:
What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............
Answer:
one more would be 56
one less would be 54
ten more would 65
ten less would be 45
Step-by-step explanation:
add one more to 55 to get 56
subtract one from 55 to get 54
add ten more to 55 to get 65
subtract ten from 55 to get 45
a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?
Answer: 40
Align in this pattern:
Bigger box : 24 : 15 : 10
smaller box: 6 : 3 : 5
counts: 4: 5 : 2
( multiply 4*5*2 = 40)
Ahhhhh
Lesley has a gift card worth $500 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lesley must purchase
at least eleven items. If Lesley wants to spend as much as possible on his gift card by
purchasing the most items, which combination of movies and newly released video games is
optimal?
A(25, 0)
B(20,2)
C(15,4)
D(10,6)
Answer:(B)
Step-by-step explanation:
so the Movie is 20$ and the games are 50$ you can buy 2 games because 50+50=100 and 500-100=400.Next,the Movie is 20$ so you can do 400/2=20 and thats your answer because youy cant use no more money in the card.
Answer:
The answer is A (25, 0)
Step-by-step explanation:.
The question mentions "purchasing the most items" which means we want as many items as possible. Usually the question would imply how much of BOTH you can get for that price, but it is being specific to amount for that price.
please help, I don’t understand.
Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Help me, please!!
If you had a nickel (.05 or five cents) that earned 100 percent interest each day or doubled in value each day. How much would you have after 10 days?
Answer:
Step-by-step explanation:
If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
n represents the common ratio
a represents the first term of the sequence (initial amount)
n represents number of terms in the sequence (days)
r represents common ratio between consecutive terms(days)
From the information given,
r = 2
n = 10
a = 0.05
Therefore, for 10days, T10
T10 = 0.05 × 2^(10 - 1)
T10 = 0.05 × 2^9
T10 = 25.6
Answer:
Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.
Step-by-step explanation:
Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.
For the first five days we have:
Day1: 1
Day2: 1 + 1 = 2
Day 3: 2 + 2 = 4
Day 4: 4 + 4 = 8
Day 5: = 8 + 8 = 16
...
This is a geometric progression, where the first term is 1, and the common ratio is 2.
The nth term is given as
Tn = ar^(n - 1)
Tn = 1 × 2^(n - 1)
= 2^(n - 1)
That is
Day n = 2^(n - 1)
Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.
But because 1 nickels = 5 cents
512 nickels = 5 × 512 = 2560 cents.
Please help me ASAP I will give thanks, points, and maybe brainliest.
Step-by-step explanation:
Let's plug the values in.
(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.
pls help fast this is khan academy
Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
If f(x) = x2 - 2x, find:
f(-4) = [?]
The value of f(x) = x² - 2x at x=4 is 8.
What is function?The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation
Given:
f(x) = x² - 2x
Replace the x with -4.
f(-4) = x² - 2x
Next, Evaluate the power.
= (-4)² - 2(4)
Now, Calculate the rest.
= 16 + 8
= 8
Hence, the value of f(-4) is 8.
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Can somebody help me with this question
Answer: -17 degrees
Step-by-step explanation:
109-126 = -17
Answer:
-17 degrees
Step-by-step explanation:
since it is 126 degrees lower, you minus 126 from 109. 109-126= -17
To create an image, Figure B is going to be rotated 90° around the point indicated in the figure, translated horizontally across the y-axis and reflected across the x-axis. What must be true about Figure B and its image?
Answer: D. They are both congruent
Step-by-step explanation:
The only difference in the two shapes is the locations. One shape is located in the 4th (-x, +y) quadrant, while the other shape is located in the 2nd quadrant (+x, -y)
They two shapes are the same size with the same area, so they are both congruent.
Answer:
The answer on Imagine Math is...
-They are congruent
Step-by-step explanation:
I got the answer right on Imagine Math. Hope my answer can help those who need it. God bless you all!!
passion wants to rent a car to take a trip
Answer: The answer is C
Step-by-step explanation:
what are their means and extremes of the following proportion
Answer:
a and d are extremes b and c are meansStep-by-step explanation:
[tex]\frac{a}{b} =\frac{c}{d}[/tex]
another way to write the equality of the two ratios is :
a : b = c : d
as you can see in the equality a : b = c : d
a and d are extremes b and c are meansFind distance of each
Answer:
4
Step-by-step explanation:
Since the y value is the same, we only have to look at the x value
-1 - -5
-1 +5
4
The distance is 4
Answer: The distance of this segment is 4 units
Step-by-step explanation:
Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:
d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²
We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.
d = √((-5) - (-1))² + ((-4) - (-4))²
d = √(-4)² + (0)²
d = √16 + 0
d = √16
d = 4
This furthermore proves that the distance between the two segments is 4.
Hope this helps! :)
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
[Please help]~granola bite contains 27 calories. Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories. The equation 4c + 5 = 27 represents the relationship between these quantities. What could the 5 represent in this situation?
Answer: calories from other ingredients
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
4c + 5 = 27
27 = calories contained in a granola bite
Most of the calories come from c grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.
So:
c = grams carbohydrates
4 = calories contained in 1 gram of carbohydrate
Since the sum of the product of the calories contained in 1 gram of carbohydrate (4) and the number of carbohydrates(c ); plus the calories from other ingredients is equal to the calories contained in a granola byte (27);
5 represents the calories from other ingredients
Feel free to ask for more if needed or if you did not understand something.
Need help solving this plzz
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex]125^2 \div 125^{4/3}\\[/tex]
[tex]125^{2-4/3}[/tex]
[tex]125^{2/3}[/tex]
[tex]\sqrt[3]{125} ^2[/tex]
[tex]5^2[/tex]
[tex]=25[/tex]
Help ! Help ! Help ! Fast
Answer:
The answer iis d
Step-by-step explanation:
solve this proportion x/14 6/21
Answer:
X=4
Step-by-step explanation:
Solution: x equals 4
x/14-(6/21)=0
1. Simplify 2/7
x/14- 2/7 is 0
It’s too much steps
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74
Answer:
I think the answer would be $466.24.
If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
Write the set using roster notation: The set of even natural numbers less than 10.
Answer:
A={2,4,6,8}
Let the set be A
Even numbers are those numbers which can be divided by 2.
hope it helps
Good luck on your assignment
Answer:
A={2,4,6,8}Step-by-step explanation:
Let the set be A
even numbers means the numbers can be divide by 2
but they said that it has to be less than 10
Now, let's create the set
[tex]a = {2 \: \: 4 \: \: 6 \: \: 8 \: \: } [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the following proportions could be used to convert 12 quarts to gallons?
Answer: it is c.
Step-by-step explanation: you have to think of it as being part of a whole. Bascially proportions.
Answer:
C
Step-by-step explanation:
C
I just want u guys to check it and see if it is right if it is say it is and if not please correct me and tell me the answer :)
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction Decimal Percent
⅛ 0.125 12.5%
1245/1000 1.245 124.5%
40/100 .4 ⅖ %
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
The first two values were calculated, but the 0.4 one is wrong.
2/5% would result to 0.4% which is converted to 0.004 so it's wrong.
40/100 would be reduced to 2/5.
2/5 would result to 0.4.
0.4 means 40%.
If the question intentionally gives 2/5%, then you have to compute it all the way back.
2/5% to 0.4% to 0.004 to 4/1000
I have no clue what part is given but you can get the idea where this is going.
The second one depends on the value in question one.
So Good luck!
Giving brainliest to anyone who answers
Answer:
[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]
Step-by-step explanation:
\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}
Answer:
[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]
[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]
[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]
[tex]$\frac{10y+21x}{15xy}$ \\[/tex]
\\-----------------------------------\\
[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]
[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]
