Four more than twice a number is twenty.
Answer:
ig
Step-by-step explanation:
A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.
Answer: $113.89
Step-by-step explanation:
108.99 * 0.045
= 4.90455
108.99 + 4.90455
= 113.89455
$113.89
Answer:
Total Cost = $113.89
Step-by-step explanation:
Total Cost = Cell phone cost + sale Tax % ( cell phone cost)
Total Cost = $108. 99 + .045 × $108.99
Total Cost = $108.99 + $4.90455
Total Cost = $108.99 + $4.90
Total Cost = $113.89
adwoa received a commission of 20% on a bread she sold. in one week, Adwoa's commission was Gh¢540.00.
find
i. how much bread did she sell during the week.
ii. find her average daily commission
Answer:
tis is not confirmed aswer
Step-by-step explanation:
daily commission: 27%
What is the slope of the line
Answer:
-2/3
Step-by-step explanation:
The line goes down 2 for every 3 to the right.
If angle EBC is congruent to angle ECB, then ? is congruent to ?
By using the property of angle, it can be calculated that \(\angle EBA \cong \angle ECD\)
What are angles?
Angles are a way of measuring the amount of turn between two lines or three or more planes. An angle is formed when two lines intersect or when two planes meet. It is measured in degrees, with a full circle being 360 degrees. The angle is measured in terms of the amount of turn between the two lines or planes. Angles are typically used to describe the orientation of objects in space, such as the corners of a triangle, the angle of a flight path, or the angle of the sun’s rays. Angles are also used to measure the size of an angle and the distance between two points. Angles are important in mathematics because they help to analyze the size and shape of objects, and also to help solve problems.
Here,
It is given that
\(\angle EBC \cong \angle ECB\)
Now,
\(180-\angle EBC \cong 180-\angle ECB\) [Angle on a straight line]
\(\angle EBA \cong \angle ECD\)
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PLS HELP These tables represent a quadratics function
Answer:
A
Step-by-step explanation:
is moving by 2 but there negative numbers which makes it -2
Is 9r+16=5 a literal equation? Explain.
This is not a literal equation but you can divide 3.14 divide by 5
Step-by-step explanation:
help pleasseeeeeeeeee 6. If Ai charges $3.25 per serving of ice cream, how much will she make if she sells it to 12
½ people (children under 5 get half scoops for half the amount, which is why there is a
half person).
Answer:
40.62
Step-by-step explanation:
that's the answer I got
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
The circle graph shows how Spencer spent his money in the month of July.
A circle graph representing Spencers expenses. 27 percent is clothing, 11 percent is Gasoline, 44 percent is Food and 18 percent is Entertainment.
Part A
If Spencer spent a total of $704.00 in the month of July, which is the best estimate for the amount of money he spent on clothing?
$70.00
$140.00
$210.00
$280.00
00:00
Part B
Which is the best estimate for the amount of money he spent on entertainment?
$140.00
$35.00
$105.00
$160.00
Answer:
$190.08
Step-by-step explanation:
Take 27% of the total $704 spent in July:
0.27($704) = $190.08
He spent an estimated $190.08 on clothing in July.
Answer:
Step-by-step explanation:
I THINK 140
Identify all of the terms in the expression: 4x³ + x² + 3x + 6.
OA 6
OB 4, 3, 6
OC x³, x², x
OD 4x³, x², 3x, 6
Please help me
Answer:
OD 4x³, x², 3x, 6
Step-by-step explanation:
What would the height need to be for this curve to be a density curve?
1/5
1/4
1/2
1
For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.
Let's see how the height would need to be for this curve to be a density curve.A density curve is a statistical representation of the distribution of a dataset or population. Density curves are used to describe the distribution of continuous data and provide a visual representation of the likelihood of an event occurring within a specific range of values. It helps to determine the proportion of data that falls within a given range of values. A density curve is used to provide a graphical representation of data without showing the individual data points.To be a density curve, a curve must have the following properties:The curve should be non-negative.The area under the curve should be equal to 1.The curve should be smooth and continuous.There should be no values outside the range of the data.From the above properties, we can conclude that the height required for a curve to be a density curve depends on the data that the curve represents. As long as the curve meets the above conditions, it can be considered a density curve. So, there is no specific height required for a curve to be a density curve. The height of the curve can vary depending on the range of the data and the distribution of the data.For such more question on properties
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what is the rule for the reflection
Answer:
(x,y) ---> (-x,y) 2nd choice
Step-by-step explanation:
reflection: If points reflect across the y-axis, their y-coordinates remain unchanged but their x-coordinates change into their opposites.
The original figure ABCD is reflected on y-axis and we got the image A'B'C'D'. Therefore, option B is the correct answer.
What is the reflection on y-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
In the given graph, ABCD is the original figure and A'B'C'D' is the image.
Here, A(-2, 1)→A'(2, 1)
B(-4, 1)→B'(4, 1)
C(-4, 5)→C'(4, 5)
D(-2, 4)→D'(2, 4)
Here, the rule is (x, y)→(-x, y)
Therefore, option B is the correct answer.
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A normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95. Find the z-score of 235.90.
The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
What is mean?The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.
Given:
The standard deviation, d = 182.56,
The mean, m = 265.95,
The observation value, X = 235.90
Calculate the z score by the following formula given below,
Z = (X - m) / d,
Here, Z is the Z score,
Z = 235.90 - 265.95 / 182.56
Z = -0.165
Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.
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What is .41 times as many acres as 16.1
Answer:
10 acres, which is a more easily identified measurement than 435,600 square feet. To use the area conversion calculator simply select the unit that you want to convert from, which will be the amount that is known.
Step-by-step explanation:
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Simplify the algebraic expression: 6(d - 4e)
Answer:
6d - 24e
Step-by-step explanation:
Which number is the value of f–1(–2)?
Answer:
f+2
Step-by-step explanation:
Wrong, the answer is 1 on Edge..
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p
Answer:
-3
Step-by-step explanation:
since the lines are parallel, they have the same slope because they never intersect
calcula la potencia 8(c4)²
Hence, 8(c4)2 = 8(c8), or just 8c8 as the power of 4", then the formula 8(c4)2 can be condensed.
what is expression ?An expression in mathematics is a grouping of numerals, variables, and operators (like +, -,,, and =) that are paired in a useful fashion. Expressions might be straightforward and only contain one number or constant, or they can be intricate and contain several operations and variables. For instance, the expression 2x + 3y uses the two variables x and y together with the multiplication and addition operations. The formula (5 + 6) 2 is another illustration that uses brackets to denote the order of the operations. Algebra and other fields of mathematics frequently employ expressions to express mathematical relationships and resolve issues.
given
If "c4" refers to "c to the power of 4", then the formula 8(c4)2 can be condensed to the following:
Because 8(c4)2 = 8(c4)(c4) (c4)² = c4 × c4]
[because c4 c4 = c8] = 8(c4+4)
Hence, 8(c4)2 = 8(c8), or just 8c8 as the power of 4", then the formula 8(c4)2 can be condensed.
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The complete question is:- Calculate the power 8(c4)² .
Give an example of a function F(x) that is an antiderivative of f(x) = 9 cos(9x)+ 3x^2
We are integrating f(x) = 9cos(9x) + 3x²: \(\int\ {9cos(9x)+3x^{2} } \, dx\)
a) Apply the sum rule
\(\int\9cos(9x)} \, dx +\int\ 3x^{2} } \, dx\)
b) Calculate each antiderivative
First integral
\(\int\ {9cos(9x)} \, dx\)
1. Take out the constant
\(9\int\ {cos(9x)} \, dx\)
2. Apply u-substitution, where u is 9x
\(9\int\ {cos(u)\frac{1}{9} } du\)
3. Take out the constant (again)
\(9*\frac{1}{9} \int{cos(u)} du\)
4. Take the common integral of cos, which is sin
\(9*\frac{1}{9}sin(u)}\)
5. Substitute the original function back in for u and simplify\(9*\frac{1}{9} sin(9x) = sin(9x)\)
6. Always remember to add an arbitrary constant, C, at the end
\(sin(9x) + C\)
Second integral
\(\int3x^{2} } \, dx\)
1. Take out the constant
\(3\int{x^{2} } \, dx\)
2. Apply the power rule, \(\int{x}^{a} \, dx =\frac{x^{a+1} }{a+1}\), where a is your exponent
⇒ \(3*\frac{x^{2+1} }{2+1} = x^{3}\)
3. Add the arbitrary constant
\(x^{3} + C\)
c) Add the integrals
sin(9x) + C + x³ + C = sin(9x) + x³ + C
Notice the two arbitrary constants. Since we do not know what either constant is, we can combine them into one arbitrary constant.
Answer:F(x) = sin(9x) + x³ + C
Answer:
\(g(x)=sin(9x)+x^3+C\), choose a constant that is any number you want for C
Step-by-step explanation:
So we have a function, \(f(x)=9cos(9x)+3x^2\) An antiderivative is also called an integral, so to find the antiderivative of f(x) we find the integralso we will say g(x) is equal to the integral (antiderivative) of f(x)Then \(g(x)=\int\ {(9cos(9x)+3x^{2}) } \, dx\) Which can be written as \(g(x)=\int\ {9cos(9x)} \, dx +\int\ {3x^{2} } \, dx\) So let's do the first part integral \(\int\ {9cos(9x)} \, dx\) which can be written as \(9*\int\ {cos(9x)} \, dx\) Then we use u substitution integration, and \(u=9x,\frac{du}{dx} =9,dx=\frac{1}{9}*du\) so we replace dx and 9x so that \(9*\int\ {cos(9x)} \, dx =9*\int\ {\frac{1}{9}cos(u) } \, du=9*\frac{1}{9}*\int\ {cos(u)} \, du\) Leaving \(\int\ {cos(u)} \, du=sin(u)+C\) then replace u with 9x, so \(sin(9x)+C\)Now for the second part integration\(\int\ {3x^2} \, dx =3 *\int\ {x^2} \, dx=3*\frac{x^{2+1}}{2+1}+C=3*\frac{x^{3}}{3}+C=x^3+C\) so \(g(x)=sin(9x)+C+x^3+C=sin(9x)+x^3+C\) so \(g(x)=sin(9x)+x^3+C\) is a general solution antiderivative to f(x)Simplify the expression: 2/3 (6e+9f-21g)
Answer:
4e + 6f - 14g
Step-by-step explanation:
Find the x-intercept of the line 2x–4y= – 12.
The x-intercept of the given line having equation 2x–4y= -12 is -6
How to find x-intercept of a line?
An x-intercept is a point where the graph of a function or relation intersects with the x-axis of the coordinate system.
To find x-intercept of a line, put y = 0 in the given equation of line
According to the given question:
The equation of line is 2x - 4y = -12
Putting y = 0 in the above equation we get
2x - 4(0) = -12
2x = -12
x = -6
Therefore, x-intercept of the line 2x–4y= -12 is -6
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Liang bought a basket of apples to make pies for her friends. The basket of apples weighed p pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.
Write an equation to describe this situation.
What was the total weight of the basket of apples.
Answer:
3+17=p
p= 20p
Step-by-step explanation:
In ΔXYZ, x = 3.9 cm, ∠Y=68° and ∠Z=86°. Find the length of z, to the nearest 10th of a centimeter.
The length of z would be '8.89 cm'.
What is sine rule in triangle?
According to the law of sine, or sine law, the ratio of a triangle's side length to the sine of the opposing angle remains constant for all three sides.
Given that in ΔXYZ, x = 3.9 cm, ∠Y=68° and ∠Z=86°.
As we know sum of all angles of a triangle is 180.
∠X + ∠Y + ∠Z = 180°
∠X + 68° + 86° = 180°
∠X = 26°
Now by using sine law, we get
\(\frac{x}{sinX} = \frac{y}{sinY} = \frac{z}{sinZ}\)
\(\frac{x}{sinX} = \frac{z}{sinZ}\)
\(\frac{3.9}{sin26} = \frac{z}{sin86}\)
Simplifying this, we get
z = 3.9*0.99/0.438
z = 8.89
Hence, the length of z would be '8.89 cm'.
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Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(2) = 16 D. h(13) = 18
Answer:
The given function h has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25, and we also know that h(8) = 19 and h(-2) = 2.
Since we know the range of h(x) is 1 ≤ h(x) ≤ 25, statement B cannot be true because it suggests a value of h(x) outside of this range.
Statement A suggests that h(8) = 21, which is outside the given range for h(x). Therefore, statement A cannot be true.
Statement C suggests that h(2) = 16, but we do not have any information about the value of h(x) at x = 2. Therefore, statement C may or may not be true.
Statement D suggests that h(13) = 18, but 13 is outside the domain of h(x). Therefore, statement D cannot be true.
Thus, the only statement that could be true for h is B. However, we cannot be certain that statement B is true without more information about the function h.
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Step-by-step explanation:
write y=d^2-8d-10 in vertex form
The vertex form of the equation is,
⇒ y = (d - 4)² - 26
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The equation is,
⇒ y = d² - 8d - 10
Now, We can change in vertex form as;
⇒ y = d² - 8d - 10
⇒ y = d² - 8d + 16 - 16 - 10
⇒ y = (d - 4)² - 16 - 10
⇒ y = (d - 4)² - 26
Thus, The vertex form of the equation is,
⇒ y = (d - 4)² - 26
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Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
Step-by-step explanation:
To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.
To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.
So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.
To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.
Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.
To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:
(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)
Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)
So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.
7th grade help me plzz
Answer: The temperature rose 20 degrees celsius
Step-by-step explanation:
the difference between -10 and 10 is 20.
Answer: 20 degrees Celsius
Step-by-step explanation:
Explanation:it just is do the math