Answer:
The volume of the ice cream scoop is less than the volume of the cone. So, when the ice cream melts, it will fit in the cone without overflowing.
11.6%=x*17.8%+ (1-X)* 8.4%
To solve for x in the equation:
11.6% = x × 17.8% + (1 - x) × 8.4%
We can first convert the percentages to decimal form:
11.6% = 0.116
17.8% = 0.178
8.4% = 0.084
Substituting these values into the equation, we get:
0.116 = x 0.178 + (1 - x) × 0.084
Next, we can simplify the equation by distributing the (1 - x) term:
0.116 = x × 0.178 + 0.084 - x × 0.084
Simplifying further by combining like terms, we get:
0.116 = 0.178x + 0.084 - 0.084x
0.116 = 0.094x + 0.084
Subtracting 0.084 from both sides of the equation, we get:
0.032 = 0.094x
Finally, dividing both sides of the equation by 0.094, we get:
x = 0.3404 or approximately 0.34
Therefore, x is approximately 0.34
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4/5 is greater, less than, or equal to 8/10?
Answer: 4/5 is equal to 8/10
Step-by-step explanation:
What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?
Responses
a. relative minimum = −3, relative maximum = −14
b. relative minimum = 1.5, relative maximum = 4.5
c. relative minimum = 1.5, relative maximum = −3
d. relative minimum = −14, relative maximum = −3
Answer:
d
Step-by-step explanation:
As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3
Answer:
d) relative minimum = −14, relative maximum = −3
Step-by-step explanation:
The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.
From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.
Therefore:
Relative minimum = -14Relative maximum = -3Which of the following statements is/are true based on the graph and the context of the problem?
The y-intercept (0, 1200) represents the initial cost of the bedroom furniture.
The function is negative on its entire domain.
The domain is x ≥ 0 to represent the number of years after the bedroom furniture was purchased.
I only
I and II only
I and III only
I, II, and
The statements that are true based on the graph and the context of the problem include the following: B. I and III only.
What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value or vertical intercept and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
Based on the information provided about the line on the graph, we have the following:
y-intercept of function = (0, 1,200), which represents the initial cost of the bedroom furniture.
Additionally, the function is positive on its entire domain and the domain is x ≥ 0, which represent the number of years after the bedroom furniture was purchased.
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30-year mortgage with an annual interest rate of 4.9%
made a $55,000 down payment on the house.
monthly payment : $1,035
house price : $250,000
total cost after all payments been made: $427,600
question:
Property taxes vary from State to State and City to City, but 1% of the property's appraised value is a good estimate of how much the annual property taxes will be for the property. Assuming Marisa purchased the house for the same price as its appraised value, how much can she expect to pay each year on property taxes?
Answer:
If the house price is $250,000, then 1% of the appraised value is:
0.01 x $250,000 = $2,500
So Marisa can expect to pay $2,500 in annual property taxes.
Step-by-step explanation:
Multiplication Problem Solving
Questions:
1) 6x6= ?
2) 4x8= ?
3) 2x5= ?
4) 3x7= ?
5) 7x2= ?
6) 600 x 12,427= ?
Answer:
1 = 36
2. = 32
3 = 10
4.= 21
5. = 14
6 =7456200
Step-by-step explanation:
The triangles are similar.
What is the value of x?
Enter your answer in the box
x = ?
Answer:
x = 12
Step-by-step explanation:
96 / 24 = 4, 28/ 7 = 4, assuming that it dilated by 4, so use 4 to multiply 25, 4 x 25 = 100 so 6x+28 = 100 then plug it in 6(12) + 28 = 100., 100 = 100
To check use a^2 + b^2 = c^2
28^2 + 96^2 = (6(12)+28)^2
784 + 9216 = (72+28)^2
784 + 9216 = 100^2
784 + 9216 = 10000
10000 = 10000
Find the area of the figure.
Answer:
16yd
Step-by-step explanation:
I am from Michigan thank me this is really easy you nerd
This is funny helping you big people as a kid.
use traces to sketch and identify the surface 25x²+4y²+z²=100
The surface formed by the equation 25x²+4y²+z²=100 is an ellipse.
What is an ellipse?In mathematics, an ellipse is a planar curve with two focus points, where the total of the two distances from any point on the curve to the focal points is a constant. It generalises the shape of a circle, a unique variety of ellipse in which the two focus points coincide. The eccentricity of an ellipse is used to calculate its length.
We may set one of the variables at a constant value and then plot the resulting 2D curve in the plane created by the other two variables in order to sketch the surface. This procedure can be repeated for various constant values to get a rough surface drawing.
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Tanisha read 4 books in 5 months If she reads at a constant rate how many books did she read each month give your answer as a whole number or a fraction in the simplest form. Help!!!!
Answer:
She read 4/5 of a book per month
Step-by-step explanation:
4/5= 4/5per month
Step-by-step explanation:
To find out how many books Tanisha read each month, we can use the formula:
books read per month = total number of books ÷ total number of months
Using the information given in the problem, we know that Tanisha read 4 books in 5 months. So we can plug those values into the formula:
books read per month = 4 ÷ 5
Simplifying the fraction by dividing the numerator and denominator by their greatest common factor, which is 1, we get:
books read per month = 4/5
Therefore, Tanisha read 4/5 of a book per month, or equivalently, 0.8 books per month.
please give me a brainliest.
The expression 9(2)5x+109(2)5x+10 is rewritten as 9(h)x+29(h)x+2. What is the value of h?
The value οf h is apprοximately 2.83. Sο the answer is (A) 2.
What is the expοnential expressiοns?Expοnential expressiοns invοlve a base number raised tο a pοwer οr expοnent. The expοnent indicates hοw many times the base number shοuld be multiplied by itself.
We can simplify the expressiοn [tex]9(2)^{5x+10}[/tex] as follows:
[tex]9(2)^{5x+10} = 9(32)^{x+10}[/tex]
We can then rewrite this expression as [tex]9(h)^{x+2},[/tex] where h is a variable:
[tex]9(h)^{x+2} = 9(32)^{x+10}[/tex]
Comparing the expοnents of h and 32, we can see that h = [tex]2^{(5/2)}[/tex], or h = 2 * sqrt(2) = 2.83 (rounded to twο decimal places).
Hence, the value οf h is approximately 2.83. So the answer is (A) 2.
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find x, round to nearest tenth. URGENT HELP, show proofs
The value of x is 33.6( nearest tenth)
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
c² = a²+b²
represent the two sides of x by a and b
from the big triangle
b = √ 29² - 12²
b = √ 841 -144
b = √ 697
b = 26.4
from the small Triangle
a = √ 14²-12²
a = √ 196-144
a = √52
a = 7.2
x = a+b
x = 7.2+26.4
x = 33.6( nearest tenth)
therefore the value of x is 33.6
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4.
Which problem situation matches this equation?
74.80 = 8 x
Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.
The cost of a video game is $74.80. Find x, the amount Josh needs to buy the game if he had $8.00.
Eight friends spent $74.80 each to pay for a camping trip. Find x, the total amount they paid.
Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.
Answer:
Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.
Step-by-step explanation:
The length of a rectangular garden is 5 feet more than its width. It is surrounded by a concrete walkway 3 feet wide. Suppose the total area of the walkway is 210 square feet. Find the length and the width of the garden. I need it fast
the width of the garden is approximately 6.77 feet, and the length is approximately 11.77 feet (since it is 5 feet more than the width).
what is rectangle?
A rectangle is a four-sided polygon with opposite sides that are parallel and equal in length.
Let's denote the width of the garden by x. Then, according to the problem statement, the length of the garden is x + 5.
The total width of the garden and the walkway is x + 2(3) = x + 6, and the total length is x + 5 + 2(3) = x + 11.
The area of the garden itself is x(x + 5), and the area of the garden and the walkway is (x + 6)(x + 11).
The area of the walkway is the difference between the two: (x + 6)(x + 11) - x(x + 5) = 210.
Expanding and simplifying this expression, we get:
x^2 + 17x - 135 = 0
We can solve for x using the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 1, b = 17, and c = -135, so we have:
x = (-17 ± sqrt(17^2 - 4(1)(-135))) / 2(1)
x = (-17 ± sqrt(769)) / 2
We can discard the negative solution, so we have:
x = (-17 + sqrt(769)) / 2
x ≈ 6.77
Therefore, the width of the garden is approximately 6.77 feet, and the length is approximately 11.77 feet (since it is 5 feet more than the width).
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The mean of the following data values is 36.
19, 23, 35, 41, 42
Answer:
To find the mean of a set of data, we need to sum up all the values in the set and divide by the number of values.
Sum of the data values = 19 + 23 + 35 + 41 + 42 = 160
Number of data values = 5
Mean = Sum of data values / Number of data values = 160 / 5 = 32
However, we are given that the mean is 36. Since the calculated mean is lower than the given mean, it means that we are missing a value that is higher than the other values in the set.
Let's call this missing value x. Then, we have:
(19 + 23 + 35 + 41 + 42 + x) / 6 = 36
Multiplying both sides by 6, we get:
19 + 23 + 35 + 41 + 42 + x = 216
Simplifying the left-hand side, we get:
160 + x = 216
Subtracting 160 from both sides, we get:
x = 56
Therefore, the missing value is 56, and the complete data set is:
19, 23, 35, 41, 42, 56
Now, we can calculate the mean as:
Mean = (19 + 23 + 35 + 41 + 42 + 56) / 6 = 216 / 6 = 36
So, the mean of the data values is indeed 36.
Answer:
32
Step-by-step explanation:
To find the mean of a set of numbers, we add up all the numbers and then divide by the total number of values.
Adding up the values:
19 + 23 + 35 + 41 + 42 = 160
We have a total of 5 values, so we divide the sum by 5:
160 / 5 = 32
Therefore, the mean of the given data values is 32, not 36.
What is the area of the figure?
14 1/2 x 6 1/2 x 6 1/2
14[tex]\frac{1}{2}[/tex] x 6[tex]\frac{1}{2}[/tex] x 6[tex]\frac{1}{2}[/tex]
= 14[tex]\frac{1}{2}[/tex] x 36[tex]\frac{1}{4}[/tex]
= 504[tex]\frac{1}{8}[/tex]
Answer:
273/2
Step-by-step explanation:
what is the variability of the mean is 14 and the MAD is 3.2?
The variability of the mean is 0.154
What is mean?The total of all values divided by all of the values constitutes the result of a set, also called as the arithmetic mean. It is considered to be the most popular central trend indicator, and the word "mean" is commonly used to describe it. The average of a figure is known to as the average.
We are Given a normal distribution, the MAD and standard deviation (SD) are roughly inversely proportional to one another as follows:
=> MAD = 1.4826 × SD
Here we can calculate the standard deviation as follows:
=> SD = MAD / 1.4826
Since the MAD in this instance is provided as 3.2,
=> SD ≈ 3.2 / 1.4826 ≈ 2.16
The standard error of the mean (SEM), can be determined as follows, then gives the variability of the mean.
=> SEM ≈ SD / sqrt(n)
=> CV Equals SD/mean
2.16 / 14 ≈ 0.154
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Among 350 randomly selected drivers in the 20−24 age bracket, 3 were in a car crash in the last year. If a driver in that age bracket is randomly selected, what is the approximate probability that he or she will be in a car crash during the next year? Is it unlikely for a driver in that age bracket to be involved in a car crash during a year? Is the resulting value high enough to be of concern to those in the 20−24 age bracket? Consider an event to be "unlikely" if its probability is less than or equal to 0.05.
Question content area bottom
Part 1
The probability that a randomly selected person in the 20−24 age bracket will be in a car crash this year is approximately enter your response here.
(Type an integer or decimal rounded to the nearest thousandth as needed.)
The probability that a randomly selected driver in the 20-24 age bracket will be in a car crash during the next year is 0.86%.
It is unlikely for a driver in that age bracket to be involved in a car crash during a year
The resulting probability of 0.0086 is relatively low.
How to find the probabilityThe approximate probability can be calculated by dividing the number of drivers who were in a car crash in the last year by the total number of drivers in the 20-24 age bracket:
Probability = Number of drivers in a car crash / Total number of drivers in the age bracket
Probability = 3/350
Probability ≈ 0.0086
Part 2
Since the probability is less than 0.05, it is unlikely for a driver in that age bracket to be involved in a car crash during a year.
Part 3
While any car accident can be a concern, the resulting probability of 0.0086 is relatively low.
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9. A square pyramid is shown. 4 m 6 m 6 m What is the surface area of the pyramid?
The surface area of the pyramid, given the dimensions of the pyramid can be found to be 1, 188 m ²
How to find the surface area of a pyramid ?The surface area of a pyramid can be found by the formula :
= Base area of pyramid + 12 x ( Perimeter of the base x Slant height )
The surface area of this pyramid is :
= ( 6 x 6 ) + 12 x ( ( 6 + 6 + 6 + 6 ) x 4 )
= 36 + 12 x ( 24 x 4 )
= 36 + 12 x 96
= 1, 188 m ²
In conclusion, the surface area of the pyramid is 1, 188 m ².
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Please help with this thank you
The equation of the line crossing (3, 1 / 2)(5, 5) is y = 9 / 4 x - 25 / 4.
How to find equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slope of the lineb = y-interceptHence, let's find the equation of the line crossing (3, 1 / 2)(5, 5).
m = 5 - 1 / 2 / 5 - 3
m = 9 / 2 × 1 / 2
m = 9 / 4
Hence, let's find the y-intercept using (5, 5)
y = 9 / 4 x + b
5 = 9 / 4(5) + b
5 - 45 / 4 = b
b = 20 - 45/ 4
b = - 25 / 4
Therefore, the equation of the line is y = 9 / 4 x - 25 / 4.
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Find the measurment of line segement
DE and EF?
Answer:
Step-by-step explanation:
[tex]n\sqrt{2}=10[/tex]
Solve for n.
[tex]n\sqrt{2} =10\\\\\frac{n\sqrt{2} }{\sqrt{2} }=\frac{10}{\sqrt{2} }[/tex]
Rationalize the denominator.
[tex]n=\frac{10}{\sqrt{2} }\cdot \frac{\sqrt{2} }{\sqrt{2} }\\\\n=\frac{10\sqrt{2} }{2}[/tex]
Reduce to lowest terms.
[tex]n=\frac{10\sqrt{2} }{2} \div\frac{2}{2}\\\\n=5\sqrt{2}[/tex]
1. margie's parents have invested $900 into a puppy so that she could still have him when she's older. If the money grows at a simple interest rate of 3% for the next 10 years how much will the original investment have grown
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &10 \end{cases} \\\\\\ A = 900[1+(0.03)(10)] \implies A = 1170~\hfill \stackrel{ \textit{it grew by} }{\text{\LARGE 270}}[/tex]
does anyone know the answer??? plsss i need the answer ASAP
Step-by-step explanation:
closest to all points on the graph
Which expression is equivalent to (5−4i)(3−2i)(5−4i)(3−2i)?
The given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.
What is expression ?
In mathematics, an expression is a combination of numbers, variables, and operations that represents a value or a quantity. It can be a simple expression consisting of only one number or variable, or a complex expression consisting of several numbers, variables, and operations.
We can use the distributive property of multiplication to expand the given expression as follows:
(5−4i)(3−2i)(5−4i)(3−2i)
= (5−4i)(5−4i)(3−2i)(3−2i)
= (25 - 40i + 16i²)(9 - 12i + 4i²)
= (25 - 40i - 16)(9 - 12i - 4)
= (-231 + 372i)
Therefore, the given expression equivalent to (5−4i)(3−2i)(5−4i)(3−2i) is -231 + 372i.
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Which equations represent a proportional relationship?
A) y = 5 + x
B) y = 4x
C) y = 7x²
D) y = 2 - x
The equation which represents a proportional relationship from the given set of equations is y = 4x.
What is meant by a proportional relationship?
Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportional relationship, one variable is consistently equal to the other's constant value. y= k x, where k is the proportionality constant, is the equation that depicts a directly proportional relationship, or a line. y = k(1/x) or xy = k, where k is the proportionality constant, is the equation that depicts an indirectly proportional relationship, or a line. One can argue that two variables are in a proportional relationship if one variable is always equal to a constant multiplied by the other variable.
So according to the above explanation, we can say that the equation y = 4x is an example of a proportional relationship.
This is because the ratio y/x is always a constant 4.
Therefore the equation which represents a proportional relationship is y = 4x.
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Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)? A. x2 + y2 + 41 = 0 B. x2 + y2 − 41 = 0 C. x2 + y2 + x + y − 41 = 0 D. x2 + y2 + x − y − 41 = 0
The general form of the equation for the given circle centered at O(0, 0) is B. x² + y² - 41 = 0.
What is Circle?A circle is a round, two-dimensional shape with all points on its boundary equidistant from its center.
Since the center of the circle is O(0,0), the equation of the circle will have the form x² + y² + ax + by + c = 0. To find the values of a, b, and c, we can use the fact that point B(4, 5) lies on the circle. Substituting the coordinates of B into the equation and simplifying, we get:
4² + 5² + a4 + b5 + c = 0
16 + 25 + 4a + 5b + c = 0
41 + 4a + 5b + c = 0
We now have one equation with three variables, so we need more information. Since the center of the circle is (0,0), we know that the distance from the center to any point on the circumference is equal to the radius of the circle. The distance between points (0,0) and (4,5) is the length of the line segment joining them, which can be found using the distance formula:
[tex]\sqrt{(4-0)\² + (5-0)\²} = \sqrt{(16+25) }= \sqrt{41}[/tex]
Therefore, the radius of the circle is √(41). We can use this fact to eliminate one of the variables in the equation we derived earlier. Since point (0,0) lies on the circle, we can substitute its coordinates into the equation to get:
41 + 0a + 0b + c = 0
c = -41
Now we can substitute this value of c back into the equation we derived earlier to get:
41 + 4a + 5b - 41 = 0
4a + 5b = 0
Finally, we have two equations with two variables, which we can solve to get:
a = -5/4
b = 4/5
Substituting these values into the equation of the circle, we get:
x² + y² - 5x/4 + 4y/5 - 41 = 0
Multiplying by 20 to eliminate fractions, we get:
20x² + 20y² - 25x + 16y - 820 = 0
Simplifying, we get:
x² + y² - 25/4x + 4/5y - 41 = 0
Which is equivalent to:
x² + y² - 41 = 0
So the answer is B. x²+ y² - 41 = 0.
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Now that you have the height of the cone, how can you solve for the slant heights
Height = 21 mm
Volume = 8792 mm
Radius 20mm
The slant height [tex]l = 29 \: mm[/tex].
What is a Cone?A cone is a three-dimensional geometric shape with a smooth transition from a flat, usually circular base to the apex or vertex, which forms an axis to the base's center.
As per the given data:
Height = 21 mm
Volume = 8792 mm
Radius = 20 mm
For slant height of the one ([tex]l[/tex]):
[tex]l = \sqrt{r^2 + h^2}[/tex] {using Pythagoras theorem}
[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]
[tex]l = \sqrt{(20)^2 + (21)^2}[/tex]
[tex]l = \sqrt{400 + 441}[/tex]
[tex]l = 29 \: mm[/tex]
Hence, the slant height [tex]l = 29 \: mm[/tex].
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What is the equation of the line in slope intercept form
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The same solutions equations are B)2.3p – 10.1 = 6.49p-4 and C)230p-1010=650p-400-p.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given equation is,
=> 2.3p – 10.1 = 6.5p – 4 – 0.01p
To remove decimal we need to multiply by 100 on both side of the equation then,
=> (2.3p – 10.1)*100 = (6.5p – 4 – 0.01p)*100
=> 2.3*100p-10.1*100=6.5*100p-4*100-0.01*100p
=> 230p-1010=650p-400-p
And simplifying then,
=>2.3p – 10.1 = 6.5p – 4 – 0.01p
=>2.3p – 10.1 = 6.49p-4
Hence the correct options are, B)2.3p – 10.1 = 6.49p-4 and C)230p-1010=650p-400-p.
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