Answer: (-4, -6)
Step-by-step explanation:
Find the middle so find the averages of the x points and the y points
average of -6 and 2 is -4
average of -8 and -4 is -6
the point is (-4, -6)
Evaluate the following for f(x) = 3(2)^x
1. f (2) =
2. f (-1) =
3. f (10) =
Answer:
1. f (2) = 3 x 2^x-1
2. f (-1) = -3 x 2^x
3. f (10) = 3 x 2^x/10
Step-by-step explanation:
Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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Which of the following correctly defines a population parameter?
A. a characteristic of the population
B. the difference between the maximum and minimum value of a sample
C. the difference between the maximum and minimum value of the population
D. a characteristic of a sample
The correct answer is A. a characteristic of the population.
A population parameter refers to a specific characteristic
A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.
A punch recipe calls for 3/4 cup of grace juice. If Carlos wants to cut the recipe in half, how much grape juice should he use?
Answer:
thanks for the question
please mark me brainless
14. Which property is shown by 3 + 2 = 2 + 3? (1 point)
O Commutative Property of Addition
O Identity Property of Addition
O Distributive Property
O Associative Property of Addition
Answer: Commutative Property of Addition
Explanation: The problem 3 + 2 = 2 + 3 demonstrates the commutative property of addition. In other words, the commutative property of addition says that changing the order of the addends does not change the sum.
For example here, we can easily see that the sum of 3 + 2,
which is 5, is equal to the sum of 2 + 3, which is also 5.
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
3 + 2 = 2 + 3It is commutative property of additionThe sample space for tossing a coin 4 times is {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}. Determine P(at least 3 heads). 12.5% 25% 31.25% 68.75%
Answer: a
Step-by-step explanation:
Theres 5 times that we could get at least 3 heads and were tossing the coin 4 times so 5/4. 5 divided 4 = 1.25 x100 =12.5 percent
The probability of P(at least 3 heads) is 31.25%
How to determine the probabilityProbability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
From the information given, we have that;
{HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}.
Count the number of events with 3 H's
Now, to determine the P(at least 3 heads).
We get;
P(at least 3 heads) = 5/16 × 100/1
Divide the values, we get;
P(at least 3 heads) = 0.3125×100/1
Multiply the values we get;
P(at least 3 heads) = 31.25%
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4y+4x=8 solving by slope intercept form
Answer:
y = -x+ 2
Step-by-step explanation:
Answer:
x=-y+2
Step-by-step explanation:
Add 4 to both sides. Then divide both sides by four. You get x=-y+2.
What's the vertex for 6x^2-48x-54=0?
Hello!
\(\large\boxed{(4, -150)}\)
We can solve for the vertex by completing the square. Begin by factoring out 6 from the equation to simplify the process:
6(x² - 8x) - 54 = 0
To complete the square, we must look at the first two terms (x² - 8x).
Remember that squaring a binomial uses the format a² + 2ab + b². We are already given a² and 2ab², so solve for b:
-8 / 2 = -4. This is the value of b.
We can rewrite this as:
(x - 4)²
However, this produces +16 which much be taken into account. Substitute (x - 4)² into the original equation:
6(x - 4)² - 54 = 0
Multiply 16 by the term in the front and subtract to cancel out this term:
6(x - 4)² - 54 - (6 · 16) = 0
Simplify:
6(x - 4)² - 150 = 0
In this form, the vertex is given as:
a(x - h)² + k, where h = x-coordinate and k = y-coordinate of the vertex.
In this instance, h = 4 and k = -150, so the coordinates of the vertex are:
(4, -150)
Answer:
y = 6x²-48x-54 has a vertex at (4,-150)
Step-by-step explanation:
There is no vertex. The solution set to 6x²-48x-54 = 0 is two points, (-1,0) and (9,0).
If you mean y = 6x²-48x-54, that is an up-opening parabola.
Put the equation into vertex form:
y = 6x²-48x-54
= 6(x²-8x)-54
= 6(x²-8x+4²)-6·4²-54
= 6(x-4)² - 150
vertex at (4,-150)
asappp please . Explain
Answer: D: 2 1/2
Step-by-step explanation:
The Wall Street Journal reported that Walmart Stores Inc. is planning to lay off employees at its Sam's Club warehouse unit. Approximately half of the layoffs will be hourly employees (The Wall Street Journal, January 25-26, 2014). Suppose the following data represent the percentage of hourly employees laid off for Sam's Club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 a. Compute the mean and median percentage of hourly employees being laid off at these stores.
Answer:
The mean percentage of hourly employees being laid off at these stores is 52.
The median percentage of hourly employees being laid off at these stores is 55.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
So
\(M = \frac{55+56+44+43+44+56+60+62+57+45+36+38+50+69+65}{15} = 52\)
The mean percentage of hourly employees being laid off at these stores is 52.
Median:
Value that separate the lower 50% from the upper 50% in the sorted set.
The sorted set is
36 38 43 44 44 45 50 55
The set has cardinality 15, which is an odd number, so the median is the element at the position (15+1)/2 = 8 of the sorted set, which is 55.
The median percentage of hourly employees being laid off at these stores is 55.
Which expression is equivalent to the expression shown?
2
4 x4
48
166
46
PLZ ANSWER I WILL GIVE BRAINLIST
Answer:
5^8 .. you have to do it like this 5^(2×4)
What is the point in the solution set?
The point in the solution set from the graph is (0, 0)
Solving the systems of inequalities graphicallyFrom the question, we have the following parameters that can be used in our computation:
y < -5/2x - 2
y ≥ -1/2x + 2
Next, we plot the graph of the system of the inequalities
The graph is given
From the graph, we have solution to the system to be the shaded region
The point in the solution set from the graph is (0, 0)
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To make marbled paper, Shannon filled a rectangular 279/10cm by 178/10cm dish with water. Then they gently swirled paint on top of the water. let a represent the area of the dish.
Select 1 multiplication and 1 division equation to represent the relationship.
choose 2 answers
A) 178/10 x a = 279/10
B) 178/10 x 279/10 = a
C) 279/10 ÷ 178/10 = a
D) a ÷ 178/10 = 279/10
The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:
a = (279/10) cm x (178/10) cm
Simplifying this expression, we get:
a = 4953/100 cm^2
So, the correct equations are:
B) 178/10 x 279/10 = a
and
D) a ÷ 178/10 = 279/10
Ivan is going to invest to help with a down payment on a home. How much would he have to invest to have $46,900 after 10 years, assuming an interest rate of 1.62% compounded quarterly?
Do not round any intermediate computations, and round your final answer to the nearest dollar.
Answer:
$25705.38
Step-by-step explanation:
$46,900/ ?= 46,900/1*1.62^4 *10 = 46,900/68.8747536 *100 = 68094.6175 = $68094.62 we can deduct to see how much he saves instead say compared to approx monthly rental $800 -$1000 = $68094.62 -$46,900 =$21,194.62 over 10 years because investment is cheaper than rental as $21,194.62 /10 =$2119.462 yearly =2119.462/12 monthly =£176.621833 and even if rental if say was as low as $600 it is still more than 200% cheaper to invest. however this question suggests compound of savings before purchase. It is same indifference of interest so we deduct again....$46,900 -$21,194.62 =$25705.38= 68094.6175-46,900 =21194.6175 and 46,900-21194.6175 =25705.3825
Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =
Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then R(t) = 20 + 1.6sin(2πt/5.2).
The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.
In this case, the amplitude is 1.6.
Since the radius changes by a maximum of 1.6 million miles.
The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)
The phase shift is 0, since when t = 0 the radius is increasing.
The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)
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You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
The coordinate of the point after transformation is: (3, -4)
What is the coordinate after moving of point?The coordinate initially is given as (0, -4).
Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:
(0 - 1, -4)
= (-1, -4)
Moving by 4 units to the right means an addition of 4 units to x coordinate to get:
(-1 + 4, -4)
= (3, -4)
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HELPPPPPP give linear function for total remaining oil reserves
A) R = -19t + 1890 B) 11 years from now, the total oil reserves will be 1681 billions of barrels. C) The world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now.
Describe Linear equation?The slope of a line represents the rate of change between the x and y variables, or the rise over the run. A positive slope means that the line is increasing from left to right, while a negative slope means that the line is decreasing from left to right. A slope of zero means that the line is horizontal, while an undefined slope means that the line is vertical.
A) The rate of decrease in oil reserves is 19 billion barrels per year, which can be represented as a slope of -19. The initial oil reserves are 1890 billion barrels, which is the y-intercept. Therefore, the linear equation for the total remaining oil reserves R, in terms of t (the number of years since now) is:
R = -19t + 1890
B) To find the total oil reserves 11 years from now, we can substitute t = 11 into the equation:
R = -19(11) + 1890
R = -209 + 1890
R = 1681 billion barrels
Therefore, 11 years from now, the total oil reserves will be 1681 billions of barrels.
C) If no other oil is deposited into the reserves, the reserves will be completely depleted when R = 0. We can use the linear equation to find how long it will take for the reserves to reach 0:
0 = -19t + 1890
19t = 1890
t = 99.47 years
Therefore, the world's oil reserves will be completely depleted (all used up) approximately 99.47 years from now, assuming no new reserves are discovered or added.
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An ostrich that is 108 inches tall is 20 inches taller than 4 times the height of a kiwi. What is the height of a kiwi in inches? Thank you.
Answer:
22 inches.Step-by-step explanation:
Turn it into an equation:
4x + 20 = 108
Eliminate 20 by subtracting both sides.
4x = 88
x = 22
Hope this helps.
The figure below shows a circle with center A, diameter IP, and tangents SL, PL, and IC. Which of the angles must be right angles? Select all that apply.
Answer:
ASC, AIC, APL
Step-by-step explanation:
Tangents make right angles with the center of the circle, so any point angle starting a the center leading to the tangent will be a right angle
Answer:
\( \angle ASC \) , \( \angle AIC \) and \( \angle APL \)Step-by-step explanation:
To find:-
Which angles would be 90⁰ .Answer:-
We are here given that, SL , PL and IC are tangents . Tangents are lines which touch the circle at only one point. Also , there is a Theorem, which is ,
Theorem:-
A tangent to a circle is perpendicular to the radius at the point of contact .From this , we can say that the angles,
\( \angle ASC \) , \( \angle AIC \) and \( \angle APL \) are right angles .
Please help Giving 15 points
Answer:
you said you're giving 15 points but its 8
Make frequency tables for the following data sets. Include columns for relative frequency. Also, make a bar graph for the frequency
Final grades of 30 students in a math class: AAAAAABBBBBBCCCCCCCCCCFFF
which of the following is equivalent to x^2 -5x +6
Hello!
x² - 5x + 6
= (x² - 2x) + (-3x + 6)
= x(x - 2) - 3(x - 2)
= (x - 2)(x - 3)
A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 10 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?
There should be __ pounds of cashews in the mixture.
(Type an integer or a decimal.)
Answer:
7.5 pounds
Step-by-step explanation:
The computation is shown below:
let us assume x be the pounds of cashews,
and the total pounds will be x + 10
Now the equation is
10($1.5) + x(5.00) = (10 + x)(3.00)
15 + 5x = 30 + 3x
2x = 15
x = 7.5 pounds
Divide: 12 3/4 and 3 1/2
Answer:
3 9/14
Step-by-step explanation:
Answer:
3 9/14
Step-by-step explanation:
Hope this helps have a great day ahead! tell me if im wrong :)
Tanner is counting all of his halloween candy. He counted 9,821 pieces. He decided to give his friends some of the candy. He wanted to give jack 2/7 of his candy. How many pieces did tanner get?
help or you will become a squirrel next morning.
No links or cashies.
Answer:
A B C have the same pattern and D does not
Step-by-step explanation:
You play a video game for 20 minutes. You lose 80 points. What integer represents your change in points per minute?
Answer:
4 points per minute
Step-by-step explanation:
Divide to find the rate of change.
80 / 20 = 4 points per minute
Best of Luck!
Answer:
-4
Step-by-step explanation:
It says you LOSE points so it is -80
-80 / 20 = -4
needed help asap!!!!!!
Write down the ratio 240 kg to 6 kg.
Give your answer in its lowest form.
The ratio of the given 240 kg to 6 kg will be 40:1.
What is Ratio?
Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
the ratio 240 kg to 6 kg.
It will be simple 240/6 :: 40 :1
Hence the ratio of the given data will be 40:1
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Use the rule for order of operations to simplify the expression as much as possible 67−4(3⋅8−10)=
\(67-4\cdot(3\cdot8-10)=67-4\cdot(24-10)=\\\\=67-4\cdot14=67-56=\boxed{11}\)