Answer: 5 units right, 2 units down.
Step-by-step explanation:
15) Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of
water at the store. How many gallons of liquid did she buy?
Answer:
3 liquid gallons
Step-by-step explanation:
3 + 4 + 5 = 12
12 ÷ 4 = 3 liquid gallons
Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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You want to model the weather as a binomial random variable, with probability 25% of sun tomorrow, 50% of clouds, and 25% of rain. This is a possible binomial random variable, because the probabilities sum to 1, making it a good PMF O not a binomial random variable, because you have more than two outcomes Obetter modeled as a Poisson random variable O good for binomial modeling because the days are independent O Cannot determine from available information
The correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
A binomial random variable must have the following properties:
1. A fixed number of trials, n.
2. Two possible outcomes.
3. The outcomes should be independent of one another.
4. The probability of each outcome should be fixed for every trial.
Here, although conditions 3 and 4 are being fulfilled, we do not know anything about the number of trials. Most importantly, condition 2 is not fulfilled. There are three possible outcomes, and the weather can be modeled by a multinomial distribution if conditions 1, 3, and 4 are met. But not binomial.
So, the correct answer is the first option, "not a binomial random variable, because you have more than two outcomes".
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50 POINTS!!!!!!!! PLEASE ANSWER THIS QUICKLY WITH AN EXPLANATION!!!!!!!!! ANSWER ALL OF THEM
Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
angles of a linear pair total 180°angles of a triangle total 180°vertical angles are congruentcorresponding angles at a transversal crossing parallel lines are congruent(b)The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
(c)The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
( )Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
4 (x + 5)=12 what is x?
Answer:
x = -2
Step-by-step explanation:
4(x + 5) = 12
4x + 20 = 12
4x + 20 - 20 = 12 - 20
4x = -8
4x / 4 = -8 / 4
x = -2
Hope this helps, thank you :) !!
I cant solve please help me
Answer:
Let us set up a ratio to find the relationship between side lengths of the two triangles.
25:10
5:2
We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.
So, if XZ is 6, let's place it into the ratio and find what "x" is.
5(3) : 2(3)
15 : 6
x = 15
help?? pls quick plsssssssss
Answer:
that's the answer senpai
can anyone help me ??? pleassee on both of em
Answer:
28. B
29. D
30. A
Step-by-step explanation:
28.
2 5/8 yd × 5/6 yd =
= 21/8 × 5/6 yd²
= 105/48 yd²
= 35/16 yd²
= 2 3/16 yd²
Answer: B
29.
2641 becomes 6241.
In 6241, the 6 is in the thousands place.
6 × 1000 = 6000
Answer: D
30.
90 + 7 × (7 - 1) =
Use the correct order of operations.
= 90 + 7 × 6
= 90 + 42
= 132
Answer: A
Is there another way to extend the plane of complex numbers other than by the Riemann sphere?
No answer needed! Just take the points.
Step-by-step explanation:
Put the question again I don't see it
-10 degrees Celsius is what Fahrenheit
Answer:
Step-by-step explanation:
i think if its -10 degrees i think the fahrenheit would be 50 degrees
keelys den is 10 feet longer than it is wide, if the den is 336 square feet, what are the dimensions of the room?
The dimensions of the room are __ ft.
(Use a comma to separate answers as needed)
The dimensions of the room will be Length = 24 feet, Width = 14 feet
In the given question, the den if 10 feet longer than the width. Also, it is given that the den's area is 336 sq. feet. We have to find out the dimensions of the room. For this we know the formula to calculate the area of room: Area = Length * Breadth, where:
Length = x + 10
Width = x
Area = 336
Putting values in Area, we get:
=> Area = x*(x +10) => 336 = x² + 10x
=> x² + 10x -336 = 0, By middle term split, we get:
=> x² + 24x - 14x -336 =0 => x(x + 24) -14(x +24)
=> (x - 14)(x + 24), So value of x can either be -24 or 14.
Hence, Dimensions can be positive only, x = 14. So, Length = 24 and
width = 14.
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What are the intercepts of the equation? 5x + y = 30
Answer:
Slope=−2.00010.000=−5.000
x−intercept=530=6
y−intercept=130=30.00000
Step-by-step explanation:
Isaiah has 5 dollars and his mom gave him 4 more
Answer:
The answer to this question is 5 + 4 because Isaiah started with $5 but gained (addition) $4 from his mom.
Questlon 21 of 25
If f(x) = x + 8 and g(x) = -4x - 3, find (f+ g)(x).
A. (f+ g)(x) = 5x + 11
B. (f+ g)(x) = -3x+5
C. (f+ g)(x) = -5x - 11
D. (f+ g)(x) = 3x - 5
Answer:
(f+g)(x)= x+8-4x-3= -3x+5
B.
Find the slope of a line perpendicular to the line whose equation is
x
+
6
y
=
−
24
x+6y=−24. Fully simplify your answer.
The slope of a line perpendicular to the line x + 6y = -24 is 6. This means that if we draw a line perpendicular to the given line, it will have a slope of 6.
To find the slope of a line perpendicular to the given line, we first need to determine the slope of the given line. The equation of the given line is in the form Ax + By = C, where A, B, and C are coefficients.
Let's rearrange the equation of the given line to slope-intercept form (y = mx + b), where m represents the slope:
x + 6y = -24
To isolate y, we can subtract x from both sides:
6y = -x - 24
Next, divide both sides by 6:
y = (-1/6)x - 4
Comparing this equation to y = mx + b, we can see that the slope (m) of the given line is -1/6.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line. The negative reciprocal of -1/6 can be found by flipping the fraction and changing the sign:
Slope of perpendicular line = -1 / (-1/6)
= -1 * (-6/1)
= 6
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PLEASEEEEEE HELPPPPPP IM SO CONFUSED IVE BEEN TRYING TO SOLVE FOR DAYS
I WILL ALSO GIVE BRAINLIEST!!!
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 9(1.04)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 12.81 mm. What is a reasonable domain to plot the growth function?
Answer:
9 days
Step-by-step explanation:
1= 9*(1.04)^d
12.81/9= (1.04)^d
1.423= (1.04)^d
log(1.423)= d *log(1.04)
0.1532=d * 0.017
d= 0.1532/0.017
d=9
The reasonable domain to plot the growth function is in the interval [0,9].
Answer:
9 days
Step-by-step explanation:
what must be multiplied to 1176 to to be a cube number
Answer:
That's strange wording.
Anyway as far as perfect cubes we have 10^3 = 1,000 and then the next cube is 1,331 which is 11^3
So basically you are asking what do we multiply 1,176 by, in order to get a perfect cube?
1,331 / 1,176 = 1.13180272108844
So, to make 1,176 a perfect cube, multiply it by 1.13180272108844
Step-by-step explanation:
50 POINTS!!!!! PLEASE I NEED HELP TONIGHT !!!1
Belinda is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years:
Number of years 1 2 3
House 1 (value in dollars) 253,980 259,059.60 264,240.79
House 2 (value in dollars) 256,000 263,000 270,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)
Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)
Part C: Belinda wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points)
Part A: It is an exponential function
part B: The function is written as f(x) = 253,980 * 1.03^x
Part C: There will be significant difference in the value of eMboth houses after 45 years.
Step by step explanationPart A:
House 1's value increases by a certain percentage each year, which suggests an exponential function. House 2's value increases by a fixed amount each year, which suggests a linear function.
Part B:
For House 1, an exponential function can be used to describe the value of the house after x years:
f(x) = 253,980 * 1.03^x
where 1.03 is the percentage increase each year, and 253,980 is the initial value of the house.
For House 2, a linear function can be used to describe the value of the house after x years:
f(x) = 256,000 + 7,000x
where 7,000 is the fixed amount that the value of the house increases by each year, and 256,000 is the initial value of the house.
Part C:
To find the value of each house after 45 years, we can simply substitute x = 45 into the functions for each house:
For House 1:
f(45) = 253,980 * 1.03^45
= 1,155,259.21
For House 2:
f(45) = 256,000 + 7,000(45)
= 586,000
As we can see, after 45 years, House 1's value would be significantly greater than House 2's value. This is because the percentage increase each year for House 1 allows its value to grow exponentially over time, while House 2's fixed increase of $7,000 per year does not compound in the same way.
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Please help with this question
Answer:
this is the answer:
Step-by-step explanation:
Hope it helps:
6 + 4|2x + 6| = 14
Solve for x
Answer:
x = -1
Step-by-step explanation:
6+4 = 10
14-10 = 4
2x + 6 = 4
2x (-2) = -2
-2 + 6 = 4
Which value of c is in the domain of f(x)
The value of c in the domain of f(x) depends on the specific function f(x) and its domain.
In order to determine which value of c is in the domain of f(x), we need to know the function f(x) and its domain. A domain is the set of all possible input values of a function.
If a value of c is in the domain of f(x), then we can plug it into the function and get a valid output.
In general, a function f(x) can have a restricted domain due to certain conditions or limitations. For example, a square root function cannot have negative values under the radical because that would result in an imaginary number.
Thus, the domain of a square root function is restricted to non-negative values.
In order to find the domain of a function, we need to consider any restrictions on the input values. For example, if we have the function f(x) = 1/x, we cannot plug in x = 0 because that would result in division by zero, which is undefined.
Therefore, the domain of f(x) is all real numbers except 0. We can write this as D(f) = {x : x ≠ 0}.Once we know the domain of f(x), we can check which value of c is in the domain by seeing if it satisfies the condition.
For example, if the domain of f(x) is D(f) = {x : x > 2}, then c = 3 is in the domain because 3 is greater than 2. On the other hand, c = 1 is not in the domain because 1 is less than 2.
Therefore, the value of c in the domain of f(x) depends on the specific function f(x) and its domain.
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Suppose sam deposited 1000$ every month in the beginning for his retirement fund for 20 years at 5% compounded monthly. What is value of N
To find the value of N, we need the future value of the retirement fund. If you provide the desired future value, I can calculate the exact value of N.
To find the value of N, we need to calculate the number of monthly deposits Sam made for his retirement fund over 20 years.
Sam deposited $1000 every month for 20 years, which is a total of 20 x 12 = 240 deposits. Each deposit has a compounded interest rate of 5% per year, compounded monthly.
The formula to calculate the future value of a series of monthly deposits is given by:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the investment,
P is the monthly deposit amount,
r is the monthly interest rate, and
n is the number of deposits.
In this case, P = $1000, r = 5% / 12 = 0.05 / 12 = 0.00417 (monthly interest rate), and FV is the value of the retirement fund after 20 years.
By rearranging the formula, we can solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Plugging in the values, we get:
n = log((FV * 0.00417) / (1000 * 0.00417 + FV)) / log(1 + 0.00417)
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4x(x + 1) − (3x − 8)(x + 4)
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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AP STATISTICS MATH
(Image above) PLEASE HELP THANK YOU (brainlist answer)
The probabilities are given as follows:
3. P(rides bus|owns a car) = 1/3.
4. P(red|organic) = 3/5.
How to calculate a probability?The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
For item 3, the outcomes are given as follows:
Desired outcomes: rides bus and owns a car -> 8 people.Total outcomes: owns a car -> 24 people.Hence the probability is:
P(rides bus|owns a car) = 8/24 = 1/3.
For item 4, the outcomes are given as follows:
Desired outcomes: red and organic -> 18%Total outcomes: organic -> 30%.The error was in identifying the total outcomes, and the probability is:
P(red|organic) = 18/30 = 3/5.
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John put $3, 000 in his savings at 2% annually for 3 years. What did he earn in simple interest?
Answer:
End Balance: $5,160.00
Total Interest: $2,160.00
Step-by-step explanation:
Total Interest =$3000 × 2% × 3 × 12
=$2,160.00
End Balance =$3000 + $2,160.00
=$5,160.00
Answer:
can we get the options
Step-by-step explanation:
in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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how to graph y=-8/3x+9
Step-by-step explanation:
this is the equation for a line in slope-intercept form
the y-intercept is 9, so find (0,9) on the graph
then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.
when at least two points are connected, you have a line and that is your graph
What is the sign of the product (−2)(4)(−6)(−3)? (5 points)
Answer:
-144
Step-by-step explanation:
because the is an odd number of - the product will be a negative
(−2)(4)(−6)(−3)
(-8)(18)
= -144
hope this helps
Answer:
Negative, because the product (−2) × (4) is negative and the product (−6) × (−3) is positive and the product of a negative number and a positive number is negative
Step-by-step explanation:
The measure of one of the small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
The measure of both angles is 45.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Right triangle:
One angle = 90
Other angles:
One = 2x - 45
Another = x
Now,
The sum of the three angles = 180
90 + x + 2x - 45 = 180
Add like terms.
90 + 3x - 45 = 180
Add 45 on both sides.
90 + 3x = 180 + 45
Subtract 90 on both sides.
3x = 225 - 90
3x = 135
Divide 3 into both sides.
x = 45
Now,
Other angles:
One = 2 x 45 - 45 = 45
Another = 45
Thus,
Both angles are 45.
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