What is the constant ratio of an exponential curve that passes through the points (0,3)
and (5,96)?
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (5,96)[/tex]
Required
Determine the common ratio
An exponential function is of the form.
[tex]y(x) = ar^x[/tex]
For:
[tex](x_1,y_1) = (0,3)[/tex]
We have:
[tex]3 = a * r^0[/tex]
[tex]3 = a * 1[/tex]
[tex]a= 3[/tex]
For
[tex](x_2,y_2) = (5,96)[/tex]
We have:
[tex]96 = ar^5[/tex]
Substitute 3 for a
[tex]96 = 3 * r^5[/tex]
Divide both sides by 3
[tex]\frac{96}{3} = \frac{3 * r^5}{3}[/tex]
[tex]32 = r^5[/tex]
Express 32 as an exponent of 2
[tex]2^5 = r^5[/tex]
By comparison
[tex]2 = r[/tex]
[tex]r = 2[/tex]
Jessie needs 1 5/8 gallons of paint to paint her room. She only has 5/6 of a gallon of paint. How many more gallons of paint does she need?
Answere: Jessie needs 15/24 more gallons of paint.
Explanation:
Words such as more than us know that this problem is subtraction, info from this problem also lets us know that we need to subtract 15/8 - 5/6
To intrept this expression:
15/8 - 5/6
45/24 - 20/24
15/24
You make the fractions, with like denominators, then subtract only the numerators.
Hope this helps!
Point P is in the interior of ∠NOQ. If m∠NOP = 37 and m∠NOQ = 123, what is m∠POQ?
Answer: mPOQ = 86°
Step-by-step explanation: I took the test yesterday and got it correct, I am reliable
The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given,
∠NOQ = ∠NOP + ∠POQ
123 = 37 + ∠POQ
∠POQ = 123 - 37 = 86°
Hence "The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°".
For more about the angle,
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let (-6,5) be a point on the terminal side of theta. find the exact values of sintheta, costheta, and sintheta
Given:
The point is (-6,5).
It is on the terminal side of theta.
To find:
The values of [tex]\sin\theta[/tex] and [tex]\cos \theta[/tex].
Solution:
In the point (-6,5),
x-coordinate : x=-6
y-coordinate : y=5
So, [tex]r=\sqrt{x^2+y^2}[/tex]
[tex]r=\sqrt{(-6)^2+(5)^2}[/tex]
[tex]r=\sqrt{36+25}[/tex]
[tex]r=\sqrt{61}[/tex]
Now,
[tex]\sin \theta=\dfrac{y}{r}[/tex]
[tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex]
[tex]\cos \theta=\dfrac{x}{r}[/tex]
[tex]\cos \theta=\dfrac{-6}{\sqrt{61}}[/tex]
Therefore, the required values are [tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex] and [tex]\cos \theta=-\dfrac{6}{\sqrt{61}}[/tex].
Abby makes a pattern she starts with 700 she multiplies by 10 to get the second number she multiplies by 10 again to get the third number what is the third number?
Answer:
the third number is 70000
please solve this right now, its due at 11:59pm 1/2x=-3
Answer:
x = -6
Step-by-step explanation:
1/2x = -3
Divide both sides by 1/2
1/2x / 1/2 = -3 / 1/2
x = -6
Hope this helps and pls do mark me brainliest if you can:)
Answer:
-6
Step-by-step explanation:
to get rid of the 1/2 multiply it by 2 and multiply -3 by the 2 aswell
(2) 1/2x = -3 (2)
x=-6
10 sheets of card are about 245mm thick. How thick is 1 sheet of Card. what is the keyword in this problem?
Answer:
1 sheet of card is 24.5mm thick. I think the keyword here is thick
Step-by-step explanation:
245/10=24.5
What is the image point of (- 7, - 7) after a translation left 3 units and down 3 units?
Answer:
(-10,-10)
Step-by-step explanation:
24g of magnesium reacts with 38g of fluorine to produce ___g magnesium fluoride
Answer:
62 g
brainliest plz? ty
Answer:
hope this helps
Step-by-step explanation:
62 is the answer
Which conditions are sufficient to prove that lines / and n are parallel?
Choose all that apply
DA 21225
B. m2 3+ m2 6 = 180
cm2 2 + m 2 6 = 180
OD 2224
DE 239 25
Om2 8+ m2 7 = 180
Answer:
b.
Step-by-step explanation:
If de is = to 2 then the direction of the axis will hit the sun on different spots
So I kind of get proofing but I am lost for what you call it when two sides that aren't adjacent are supplementary. Is it just supplementary angles? I want to say either <3 and <1 are congruent or <2 and <3 are congruent. If I could get help on the rest of the problem that would be much appreciated.
Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.
Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.
By the transitive property, angles 2 and 4 are also congruent.
Again, transitively, angles 2 and 3 are supplementary.
Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.
Transitively, angles 5 and 3 are congruent.
These two angles correspond to one another, so lines c and d are parallel.
This is a number of parts out of 100, the numerator of a fraction where the denominator is 100
Answer:
percent is that no. as we generally denotes 33 /100 as 33percent
Step-by-step explanation:
Divide 24 tonnes in the ratio 1:2.
Answer: it would be c on the test if your not on the test i dont know what it would bb ;]
Step-by-step explanation:
A ratio is a way of comparing two or more similar quantities. Ratios can be used to compare
costs, weights, sizes and other quantities.
For example, suppose we have a model boat which is 1 m long, whereas the actual boat is 25 m
long. Then the ratio of the length of the model to the length of the actual boat is 1 to 25. This
is written as
1 : 25 .
Note there are no units included, and note also the use of the colon to represent the ratio.
Ratios are also used to describe quantities of different ingredients in mixtures. Pharmacists
making up medicines, manufacturers making biscuits and builders making cement all need to make
mixtures using ingredients in the correct ratio. If they don’t there may be dire consequences!
So knowing about ratios is not only very important, but extremely useful and crucial in certain
circumstances.
For example, mortar for building a brick wall is made by using 2 parts of cement to 7 parts o
Josephine bought 2.55 pounds of grapes and 1.27 pounds of blackberries. How many
more pounds of grapes did she buy than blackberries?
Answer:
1.28
Step-by-step explanation:
Answer:
1.28 Is the Answe
why does it want me to join their group? itll just stop people from getting answers. Which is the WHOLE point of this site may i tell you.
Answer:
because they want money.
Step-by-step explanation:
In the equation 7x - 3 = 25, what is the first step to solve for x? What is the value
of x?
Step-by-step explanation:
7x − 3 = 25
Add 3 to both sides.
7x = 28
Divide both sides by 7.
x = 4
Answer:
I think is add 3 from both sides
Step-by-step explanation:
7x-3=25
25+3=28
7x=28
x=4
2.
d
a) Name the vertex of the angle.
b) Name the sides of the angle.
c) Give three ways to name the angle.
H
M
d) Classify the angle:
1.
What is the scientific notation of 0.000342
Answer:
3.42 x 10^-4
Step-by-step explanation:
i mark as brainleistjvbhfvbfh vbvdzh bdchj bchj b hbc b bvhjv
Answer:
???
Step-by-step explanation:
I need 2 answers please help!.❤️
Answer:
48 cm^2
Step-by-step explanation:
We can substitute the h in the given equation with 8.
1/2 * (8+4) * 8
Next we can add inside the parenthesis
1/2* (12) * 8
Another way we can write 1/2* 12 is 12 divided by 2 which is equivalent to 6.
So, now our equation is 6*8
6*8 = 48 so our answer is 48 cm^2
Hope this Helps!!! :)
HELP!!!!!!!!
f(x)= -2x^2+14/x^2-49
Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.
This shows that as x approaches -7 and 7, the value of y approaches infinity. As x approaches -7 from the left, y approaches ∞.
Vertical asymptotes of a functionThe vertical asymptotes of a function is the point where the denominator of the rational function approaches zero.
Given the rational function shown:
[tex]\dfrac{-2x^2+14}{x^2-49}[/tex]
The vertical asymptotes occurs when x^2 - 49 = 0
Add 49 to both sides
x^2-49 + 49 = 49
x^2= 49
x = ±7
This shows that as x approaches -7 and 7, the value of y approaches infinity
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An experiment is pulling a ball from an urn that contains 3 blue balls and 5 red balls. a.) Find the probability of getting a red ball. b.) Find the probability of getting a blue ball. c.) Find the odds for getting a red ball. d.) Find the odds for getting a blue ball.
Answer:
Step-by-step explanation:
The urn contains 3blue balls 5 red balls
a) probability of getting a red ball
P=no of favourable of outcomes /total no outcomes
P(red ball) = 5/8
b) Probability of blue ball
P(blue ball) = 3/8
c) Odds getting a red ball
odds in favour of any object = m/n
m : event to occur
n : event will not occur
Odds(red ball) = 5/3
d)
Odds(blue) = 3/5
Bob plans to complete a 275-mile trip in 5 hours. What Rate is he planning to travel?
Answer:
55 mph
Step-by-step explanation:
Answer:
Step-by-step explanation:
rate=distance/time=275/5=55 miles per hour
What is 9/10 minus negative 3/5?
1.5
Step-by-step explanation:
As a decimal you should be able to convert it
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!!
Solve for x:
-2x + 5 > 49
Answer in all lowercase, no spaces.
Answer:
The answer is false.
Step-by-step explanation:
Answer:
x <−22
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2x+5>49
Step 1: Subtract 5 from both sides.
−2x+5−5>49−5
−2x>44
Step 2: Divide both sides by -2.
2x/ -2 > 44/ -2
Kenny reads 5/8 pages of his book in 2/3 minutes. How many pages will Kenny read in one minute answer as fraction
Answer:
15/16
Step-by-step explanation:
The unit rate is pages per minute, so divide the pages by the minutes:
(5/8)/(2/3) = (5/8)·(3/2) = 15/16 pages per minute
PLEASE HELP ME, DUE RIGHT NOW PLEASE
What is answer of 87.8 x 2.8
Answer:
245.84
Step-by-step explanation:
What is 24x(3 x 2) 4x + 2y + 6
Answer:
[tex]24x(3 \times 2) 4x + 2y + 6 = \\ 576x {}^{2} + 2y + 6[/tex]
Step-by-step explanation:
[tex]if \: 24x(3 \times 2) 4x + 2y + 6 \\ = 576x {}^{2} + 2y + 6 \\ \\ \\ \\ \\ ♨Rage♨[/tex]
Answer:
576x + 2y + 6
Step-by-step explanation:
so let's work this out
first as you can see we need to work this out in BODMAS Method, but there are also expression.
First do the brackets
3 x 2 = 6
so it is simplified to
24x X 6 X 4x + 2y + 6
We can multiply 24x to 6, even if it doesn't have the same pro numeral since, when multiplying we don't have to look for pro numeral, but if we are adding or subtracting, we can't add or subtract a number with a number that doesn't have the same pro numeral.
so
24x X 6 = 144x X 4x = 576x
Then it is simplified to
576x + 2y + 6
we can't simplify it anymore, since it doesn't have the same pro numeral.
Answer = 576x + 2y + 6
Hope you understand
:-)
the graph of a line is shown on grid below.which equation best represents the graph of the line?
Answer:
A
Step-by-step explanation:
slope -3
y intercept (0,2)
Option A is correct, y=-3x+2 is the equation of the line that best represents the graph of the line.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through points (1, -1) and (-2, 8)
m=8+1/-2-1
m=-3
Now let us find the y intercept
8=-3(-2)+b
8=6+b
2=b
y=-3x+2 is the equation of line.
Hence, y=-3x+2 is the equation of the line that best represents the graph of the line.
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