Answer:995g
Step-by-step explanation:
What is the y-value of the vertex of 4x^+ 8x - 8?
Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
WILL GIVE BRAINLIEST ASAP
In the figure below, m Z2 =55° and m 2 KJL = 154º.
Find m 21.
Answer:
99°
Explanation:
given:
m∠2 = 55°
solve:
m∠1 + m∠2 = ∠KJL
m∠1 = ∠KJL - m∠2
m∠1 = 154° - 55°
m∠1 = 99°
Answer:
m∠1 = 99°
Step-by-step explanation:
m∠1 + m∠2 = m∠KJL
⇒ m∠1 + 55 = 154
⇒ m∠1 = 154 - 55
⇒ m∠1 = 99°
If annual interest rate is 8.25% on 90,900.00 What is my interest for 1/2 a month. It's for 8 years.
To calculate the interest for 1/2 a month over a period of 8 years, we first need to calculate the total number of months in 8 years:
Total number of months = 8 years x 12 months/year = 96 months
Next, we can calculate the interest for half a month:
Interest = Principal x Rate x Time
Where:
- Principal = $90,900.00
- Rate = 8.25% (annual interest rate)
- Time = 0.5/12 years (half a month, expressed in years)
Rate needs to be converted to a monthly rate, so we divide it by 12:
Rate = 8.25% / 12 = 0.6875% (monthly interest rate)
Time needs to be expressed in years, so we divide it by 12:
Time = 0.5/12 years
Now we can calculate the interest:
Interest = $90,900.00 x 0.006875 x 0.0416667
Interest = $25.08 (rounded to the nearest cent)
Therefore, the interest for 1/2 a month on a principal of $90,900.00 with an annual interest rate of 8.25% over a period of 8 years is $25.08.
Answer:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64
Step-by-step explanation:
Make a plan:
Monthly Interest Rate: 8.25% / 12 = 0.006875Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64Solve the problem:The monthly Interest Rate is 8.25% / 12 = 0.006875 (Ground Truth)Interest for 1/2 month is 90900 * 0.006875 * 0.5 = 312.46875 (ground truth).Total Interest for 8 years is 312.46875 * 8 * 12 = 30032.64 (ground truth).Draw the conclusion:
The interest for 1/2 month is $312.47, and the total interest for 8 years is $30, 032.64Hope this helps!
If the size of one object is 8.5*10^-4 meters and the size of a second object is 3.7*10^6, how many times bigger is the second object compared to the first object?
The second object is approximately 4.4 * 10^9 times bigger than the first object.
Division of numbers involving Scientific Notation.The division of the value of the second scientific notation from the first scientific notation is the precise and accurate way with which we can determine many many times bigger is the second object compared to the first object.
To do so, group coefficients together and exponents together to divide numbers in scientific notation. i.e.
= (3.7/8.5) * ((10^6)/(10^−4))
= 0.43529411 × ((10^6)/(10^−4))
Subtract the exponent from the denominator from the exponent of the numerator for the same base 0.43529411 ⋅ 10^(6 −4*−1)
= 0.43529411 × ((10^6+4)
= 0.43529411 × 10^10
= 4.3529411 × 10^9
≅ 4.4 × 10^9
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bridge is raised so that it forms a 15° angle with the ground. It is then raised some more so that it forms a 43° angle with the ground. How many degrees was the draw bridge raised from its first position to its second position?
Answer: If you minus it the answer is -0.488692191 rad
I think
Step-by-step explanation:
How do you find the second of an angle?
The whole part of the measure of an angle in decimal degrees is the whole number of degrees. Multiplying the decimal part by 60 gives the number of minutes. If this number of minutes has a decimal part, then multiplying this decimal part by 60 gives the number of seconds.
These are my opinion
If the end behavior is increasing to the left, what might be true about the function? Select all that apply.
Select all that apply:
O The degree is even and the leading coefficient is positive.
he
The degree is even and the leading coefficient is negative.
0 The degree is odd and the leading coefficient is positive.
O The degree is odd and the leading coefficient is negative.
Answer: the degree is even and the leading coefficient is positive
Step-by-step explanation:
If the function is increasing to the left and falls to the right,
Leading coefficient of the function will be negative and the degree of the function will be Odd.
Similarly, if the function is increasing to the right and falls to the left,
Leading coefficient of the function will be positive and the degree of the function will be Odd.
Therefore, Option (4) will be the correct option.
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What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
write the equation of the line, in standard form, that passes through the point (4, -8) and is parallel to x - 4y=8
Answer: x - 2y = -10.
Step-by-step explanation:
Graph a linear function with the given slope and y-intercept slope:3 y-intercept: 10
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
\What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Slope = 3
y-intercept = 10
The equation of a line is given as y = mx + c
m = slope
c = y-intercept
Now,
m = 3
c = 10
So,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
Thus,
The linear function with a slope of 3 and y-intercept of 10 is y = 3x + 10.
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Trinh has $3. He receives $20 in allowance from his parents. Then
Trinh spends $20 on parts for his model rocket.
How much money does Trinh have left?
O A. $3
O B. $6
OC. $20
OD. $23
Answer:
A. $3
Step-by-step explanation:
3+20=23
23-20=3
$3
Answer:
A Which Is 3
Step-by-step explanation:
He Orginally Has 3 and gains 20 and spends 20 so he is back at 3
3+20=23-20=3
can anyone help me please ?
Answer: 84 dollars
Step-by-step explanation:
Find the Constant of proportionality of Henderson Toll Road Cost
The constant of proportionality is equal to 3/10.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship refers to a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the miles traveled.x represents the cost ($).k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using various data points as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 3/10 = 6/20 = 9/30
Constant of proportionality, k = 3/10.
Therefore, the required linear equation is given by;
y = kx
y = 3/10(x)
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Un camión va cargado con 3796 kg de patatas. En una frutería descarga 6 sacos de 50 kg cada uno. ¿ Cuanto pesa ahora la carga del camión?
The current weight of the truck is given as follows:
3496 kg.
How to obtain the current weight of the truck?The current weight of the truck is obtained applying the proportions in the context of the problem.
The initial weight of the truck is given as follows:
3796 kg.
The weight removed from the truck is given as follows:
6 x 50 = 300 kg.
Hence the current weight of the truck is given as follows:
3796 - 300 = 3496 kg.
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Bob invested $500 at the start of the year and found he had $533 at the end of the year. What is the annual effective yield of his investment? Enter your answer as a percentage to two decimal places
Answer:33
Step-by-step explanation:
Answer: 6.6%
Step-by-step explanation:
In this problem, Bob deposits $500 into the account for one year. To find the effective annual yield, we start the formula rEFF=A−PP. Next, substituting, we now have rEFF=533−500500,. So rEFF=0.066, which rounded to two decimal places is 6.60.
A motor vehicle is____________.
A motor vechicle is motor cycle
Pleaseeeeeeeeee help
Shape: Right rectangular prism
Solved for Volume
Formula: V=whl
Formula 2: L x W x H
How to solve volume Right rectangular prism?
To find the volume of a rectangular prism, multiply the length x width x height. In this case the answer will end up as 105.
Solution: V=whl=3·7·5=105
Answer: V=105
Plsss help I can mark you brainliest
Answer:
The answer is B.
Step-by-step explanation:
12 ≤ r + 22
r + 22 ≥ 12
r + 22 − 22 ≥ 12 − 22
r ≥ −10
I hope this helps you :D
The triangles below are similar.
3.0 cm
6.0 cm
Z
Y
B
6.0 cm
7.0 cm
14.0 cm
X
12.0 cm
A
The statement that expresses the relationship between the two triangles are: ΔZYX ~ Δ CBA. (Option C)
Two objects are comparable in Euclidean geometry if they have the same form or if one has the same shape as the mirror image of the other.
The triangles are comparable if two pairs of matching angles in a pair of triangles are congruent. We know this because if two angle pairs are equal, then the third pair must be equal as well.
When all three angle pairs are equal, the three side pairs must likewise be proportional.
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Need Help You Can Get 35 point!!!
The width of a rectangular field is represented by x meters. The length of the field is 10 more than twice its width . The area of the field is 5500m^2
Part A
Write an equation that can be used to determine the dimensions, in meters, of the field.
Part B
What is the width, in meters, of the field?
The width is ( ) meters.
Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x
Part B: width is 50 meters.
How to determine the valueThe formula for calculating the area of a rectangle is expressed with the equation;
A = lw
Such that the variables are expressed as;
A is the areal is the lengthw is the widthWe then have that;
l = 2x + 10
Substitute the values
5500 = (2x + 10)(x)
expand the bracket
5500 = 2x² + 10x
2x² + 10x - 5500
x² + 5x - 2750
x² + 55x - 50x - 2750
x(x + 55) - 50(x + 55)
x = 50 meters
Length = 2(50) + 10
Length = 100 + 10 = 110 meters
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Calculate the volume of this cylinder in terms of Pi and to the nearest hundredth
The volume of the given cylinder in terms of pi as required to be determined in the task content is; 5000 pi.
What is the volume of the given cylinder?It follows from the task content that the volume of the cylinder which is as represented is to be determined.
Since the volume of a cylinder is;
V = 2πr²h
where r = 10 and h = 25.
V = 2π × 10² × 25.
V = 5000π.
Ultimately, the volume of the given cylinder as required to be determined is; V = 5000 pi.
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Describe the possible values of x.
Step-by-step explanation:
use the picture as a reference
Answer:
x= any value bigger than 5/3 but smaller than 6
I could be 1 or 3, or 4....
5/3<x<6
Step-by-step explanation:
According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.
(x+11) +(2x+10)>(5x-9)
6>x ( x less than 6)
(x+11)+(5x-9)>(2x+10)
x>2 (x more than 2)
(2x+10)+(5x-9)>(x+11)
x> 5/3 (x more than 5/3)
urn a contains 5 green and 6 white balls, and urn b contains 8 green and 4white balls. two balls are transferred from b to a and then a ball is drawn from a.(a) (4 points) what is the probability that this ball is white
The probability that the ball being drawn is white is 0.2202.
To find the probability of drawing a white ball from urn A after transferring two balls from urn B to urn A, we need to consider the different possible scenarios for the transferred balls and calculate the probability for each scenario.
Scenario 1: Two green balls are transferred from urn B to urn A.
In this case, urn A will have 7 green balls and 6 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 6/13.
Scenario 2: One green ball and one white ball are transferred from urn B to urn A.
In this case, urn A will have 6 green balls and 7 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 7/13.
Scenario 3: Two white balls are transferred from urn B to urn A.
In this case, urn A will have 5 green balls and 8 white balls, for a total of 13 balls. The probability of drawing a white ball from urn A in this scenario is 8/13.
To find the overall probability of drawing a white ball from urn A, we need to find the probability of each scenario occurring and multiply it by the probability of drawing a white ball in that scenario.
The probability of scenario 1 occurring is (8/12)(7/11) = 56/132.
The probability of scenario 2 occurring is 2(8/12)(4/11) = 64/132.
The probability of scenario 3 occurring is (4/12)(3/11) = 12/132.
The overall probability of drawing a white ball from urn A is:
(56/132)(6/13) + (64/132)(7/13) + (12/132)(8/13) = 378/1716 = 0.2202.
Therefore, the probability of drawing a white ball from urn A after transferring two balls from urn B to urn A is 0.2202.
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A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?
OA. 12,155
OB. 2,431
OC. 4,473
OD. 12,100
Answer:
OA. 12,155
Step-by-step explanation:
A paper company produces 4,675 notebooks in 5 days. How many notebooks can it produce in 13 days?
--------
in 5 days= 4675
in 13 days= 4675/5*13= 12155
Answer
A OR D
Step-by-step explanation:
Solve the following equation for s P=b+2s
Answer:
s=P-b/2
Step-by-step explanation:
P-b=2s
P-b/2=s
The solution for the variable s in the equation P = b + 2s is s = (P - b) / 2.
To solve the equation P = b + 2s for the variable s, we need to isolate s on one side of the equation.
Here's the step-by-step process:
P = b + 2s
Subtract b from both sides:
P - b = b - b + 2s
P - b = 2s
Divide both sides by 2:
(P - b) / 2 = (2s) / 2
(P - b) / 2 = s
Therefore, the solution for s is (P - b) / 2.
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The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (3,144) and (7,336) to find the number of soda bottles the machine can make each minute.
ridgette brings a bag of 100 assorted candies in different flavors to her swim meet. She randomly grabs some candies out of the bag and hands them out to her teammates. The table below shows the flavors she has handed out. Flavor Number of candies lemon 6 orange 5 grape 8 cherry 13 Based on the data, estimate how many lemon candies were in the bag of 100 candies
Based on the data, the estimated number of lemon candies in the bag of 100 assorted candies is about 19.
What is proportion?In mathematics, proportion refers to the relationship between two quantities that are equivalent or have a constant ratio. It is usually expressed as a fraction or a ratio. For example, if a recipe calls for 2 cups of flour and 1 cup of water, the proportion of flour to water is 2:1 or 2/1. Proportions are used in a variety of mathematical and real-world situations, such as solving problems involving ratios, rates, and percentages.
In the given question,
We can use a simple proportion to estimate the number of lemon candies in the bag. We know that Ridgette handed out a total of 6 lemon candies out of a total of candies. Therefore, the proportion of lemon candies in the bag is:
6/total candies = number of lemon candies/100
We can cross-multiply to solve for the number of lemon candies:
number of lemon candies = 6 x 100 / total candies
We can also use the information about the other flavors to estimate the total number of candies in the bag. The total number of candies is:
total candies = lemon + orange + grape + cherry
Using the information from the table, we can estimate the total number of candies:
total candies = 6 + 5 + 8 + 13 = 32
Therefore, the estimated number of lemon candies in the bag is:
number of lemon candies = 6 x 100 / 32 = 18.75
We can round this to the nearest whole number to estimate that there were about 19 lemon candies in the bag of 100 assorted candies.
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I have to add this problem
5/8+2/8
giving 10 points:)
The addition of the given fraction expression is 7/8.
In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.
When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.
In this case, both fractions have a denominator of 8, so we can add their numerators:
5/8 + 2/8 = (5 + 2)/8 = 7/8
Thus, the sum of 5/8 and 2/8 is 7/8.
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Find the surface area and volume of a sphere.
A = 4 r²
V = 4/3r³
A sphere has a radius of 4 inches.
Area (to the nearest tenth) =
Volume (to the nearest tenth) =
sq. in.
cu. in.
\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)
PLS HELP I DONT HAVE MUCH TIME ILL MAKE AS BRAINLIEST AND GIVE 30 BRAINLY POINTS.
Using the expression
10× 2/5
as an example, describe how to multiply a whole number by a fraction that is less than one.
I hope it helps you.........
Answer:
Mexico has large oceans on both sides with ample (enough) wind hitting its shores. However, Mexico City (which is located in the middle of the country on top of an extinct volcano) stays polluted without wind-flow to clean it out. Why is this so
Step-by-step explanation: