Answer:
Step-by-step explanation:
A rational number is any number which can be expressed as a ratio of two integers. The only irrational number in any of those choices is the one with the square root of three. So the third one down is the irrational number.
The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet ?
Answer:
Hi there!
Your answer is:
D: 18.00$
Step-by-step explanation:
First, we plug in all the numbers under the columns "Kitchen Sink", "Bathroom Sink" and "Shower" in our matrix calculator as A. Then, we plug in all the numbers under "Total Selling Price" in our matrix calc as B. Then, we perform the equation A^-1 * B. We will look to the 3rd row for this, since shower is our "z" and the third row represents z
Since profit is determined by .15 * 120, we calculate this. Your answer is 18.
Hope This Helps
Edge Tested & Approved
Answer: option D
Step-by-step explanation:
Edge 2023
pls help
what is the surface area of this triangular prism in square units
What are your answer choices?
What is t in the equation 6t+31=41
6t+31=41
6t=10
t=10/6
t=5/3
Angle C is inscribed in circle O.
AB is a diameter of circle O.
What is the measure of A?
The measure of <A = 53 degrees
How to determine the measureTo determine the measure of the angle, we need to know the following;
The sum of the interior angles of a triangle is equal to 180 degreesThe diameter of a circle is twice its radiusAngle on a straight line is equal to 180 degreesComplementary angles are pair of angles that sum up to 90 degreesSupplementary angles are pair of angles that sum up to 180 degreesFrom the information given, we have that;
AB is a diameter of circle O.
Bute m<B = 37 degrees
Then, we can say that;
<A + <B + <C = 180
<A + 90 + 37 = 180
collect the like terms, we have;
<A = 53 degrees
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WORTH 25 POINTS!!!!!! PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
(3x + 7y)^2 = 9 x^2 + 42xy + 49y^2
Step-by-step explanation:
The total cost of the trip can be found by adding these components: Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) Which of these are equivalent expressions of the total cost that use the properties of operations to simplify the math? 5(15 + 14) + 4(31 + 4) + 25 + 40 5(20 + 9) + 4(30 +5) + 25 + 40 5(17 + 12) + 4(33 + 2) + 25 + 40 5(19 + 10) + 4(34 + 1) + 25 + 40
Given:
Entrance fee per student: $5(29)
Lunch costs: $4(29 + 6)
Bus fees: $25 + 8($2 + $3)
Total cost: 5(29) + 4(35) + 25 + 8(5)
To find:
The equivalent expressions of the total cost that use the properties of operations to simplify the math.
Solution:
We have,
Total cost = 5(29) + 4(35) + 25 + 8(5)
To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit.
Total cost = 5(20+9) + 4(30+5) + 25 + 40
Therefore, the correct option is B.
Answer:
Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) To find: The equivalent expressions of the total cost that use the properties of operations to simplify the math. Solution: We have, Total cost = 5(29) + 4(35) + 25 + 8(5) To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit. Total cost = 5(20+9) + 4(30+5) + 25 + 40 Therefore, the correct option is B.
Step-by-step explanation:
copy me above :)))
What is the ordinal number word for the following number?
47
O four sevens
O forty-seven
O forty-seventh
Answer:
forty-seven :)
Step-by-step explanation:
4 tens
7 ones :)
Have an amazing day!!
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What are the first two common multiples of the number 3 and 5?
Answer:
D
Step-by-step explanation:
3x5=15
3x10=30
5x6=30
what is the percent change between 6 to 3?
Answer:
50% = percent chang
Step-by-step explanation:
6 ÷ 50%
6 × .50 = 3
3 ÷ .50 = 6
if the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?
After solving, 41.67 Hz wing beats the dragonfly performs per second.
In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.
From the given question,
Frames per one wing beat = 6 frames
Video shot at = 250 frames per second
We firstly find the time period
So, Time period (T) = 6/250
T= 0.024 s
Snce we have to find how many wing beats the dragonfly performs per second.
Per second number of wing beats = 1/T
Per second number of wing beats = 1/0.024
Per second number of wing beats = 41.67 Hz
Hence, 41.67 Hz wing beats the dragonfly performs per second.
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The right question is;
A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.
If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?
2m - 3 = 13
what is the answer?
Answer:
m = 8
Step-by-step explanation:
2(8) = 16
16 - 3 = 13
Therefore, m = 8
What type of function is this Linear or Exponential?
The function y = 3x + 7 is a linear function and the second function that is represented in table is an exponential function.
What is a linear and exponential function?The way the y-values change when the x-values increase by a constant amount differs between linear and exponential relationships: The y-values in a linear relationship differ by the same amount. The y-values in an exponential relationship have equal ratios.Linear functions have a straight line as their graph. There is one independent variable and one dependent variable in a linear function. x and y are independent and dependent variables. An exponential function is a mathematical function with the formula f (x) = aˣ, where "x" is a variable and "a" is a constant that is called the function's base and must be greater than zero. The transcendental number e is the most commonly used exponential function base.Here the function y = 3x + 7 is a linear function and the second function is an exponential function because powers of 2.
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Arthur walked around a circular trail twice in a total of 4.5 hrs. He walked the circle at 4 mph the first time and at 5 mph the second time. How long is the trail?
Can anyone explain this problem?
Answer:
10 miles long
Step-by-step explanation:
The length of the circular trail is calculated as: 10 miles.
How to solve Algebraic expressions?We are told that Arthur walked around a circular trail twice in a total of 4.5 hrs.
Thus, he completed two full loops around the circular trail. Let's call the distance of the trail "d" (in miles) and the time it took for the first loop "t1" hours, and the time it took for the second loop "t2" hours.
So, we have:
t₁ + t₂ = 4.5
He walked the circle at 4 mph the first time and at 5 mph the second time.
The distance traveled is given by the formula:
Distance = Speed × Time.
For the first loop:
d = 4t₁
For the second loop:
d = 5t₂
From Equation 2 and Equation 3, we can set up an equation relating t₁ and t2:
4t₁ = 5t₂
Now, we can solve for t₁ in terms of t₂:
t₁ = (5/4)t₂
Substitute this value of t1 into Equation 1:
(5/4)t₂ + t₂ = 4.5
Combine the terms:
(9/4)t₂ = 4.5
Now, solve for t₂:
t₂ = (4.5 * 4) / 9
t₂ = 2
Now that we have the value of t₂, we can find t₁ using the equation
t₁ = (5/4)t₂
t₁ = (5/4) * 2
t₁ = 2.5
Now we can find the length of the trail using either Equation 2 or Equation 3:
d = 4t₁
d = 4 * 2.5
d = 10
So, the length of the circular trail is 10 miles.
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find the measures of angles K, M, P, and R in the figure. Note that the figure may not be drawn to scale.
Answer:
right angle
Step-by-step explanation:
The lowest common denominator of the fractions
2
3
,
1
4
, and
4
5
is
Answer:
4,3,5
Step-by-step explanation:
1/4
2/3
4/5
4,3,5
4-3/5
The graphs below have the same shape. What is the equation
of the blue graph?
Answer:
C
Step-by-step explanation:
the vertex of the blue is (-4,1)
the matching formula has the vertex in it (h,k)
y = (x-h)^2 + k
notice in the formula h is negative
so since the x value of the vertex is (-4), you make it positive in the formula
the y value is positive in the formula and so is the y value of the vertex (1)
Find the unit rate: $253 for 20 hours
Answer:
12.65 : 1
Step-by-step explanation:
Answer:
$12.65/h
Step-by-step explanation:
Unit rate is given by: \(U=\frac{cost}{time}\)
So in this case we have \(U = \frac{\$253}{20h} =\$12.65/h\)
Write and solve equations:
If asia is 10 years older than rani the sum of their age is 200
Let Asia's and Rani's age be "x"
Since Asia is 10 years bigger Asia will be "x+10"
Asia's Age + Rani's Age = 200
x + x + 10 = 200
2x + 10 = 200
2x = 200 - 10
2x = 190
x = 190
-----
2
x = 95
Asia = x + 10
95 + 10
105
Rani's age is 95 and Asia's Age is 105
a 95% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. a preliminary sample standard deviation is 1.5. the smallest sample size n that provides the desired accuracy is
The smallest sample size n that provides the desired accuracy is 10.
To find the smallest sample size n that provides the desired accuracy, we can use the formula:
n = (Z-value * standard deviation / margin of error)²
Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)
Substituting the values, we get:
n = (1.96 * 1.5 / 0.3)²
n = 9.8
Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:
n = 10
Therefore, the smallest sample size n that provides the desired accuracy is 10.
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The main idea behind statistical inference is that: a. without statistics we would have no way of determining if an effect is taking place in any given experiment. b. through the transformation of data we can derive many conclusions about our sample.
c. through the use of sample data we are able to draw conclusions about the population from which the data was drawn. d. when generalizing results to a population you must make sure that the correct statistical procedure has been applied.
The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).
Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.
By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.
The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.
Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.
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statistics on real gdp during world war ii may give a misleading indication of whether world war ii was a period of prosperity because
Relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.
Statistics on real GDP during World War II may give a misleading indication of whether it was a period of prosperity because GDP measures the total value of goods and services produced within a country's borders, but it does not capture the full picture of economic well-being and quality of life.
During World War II, the increased production of military goods and services significantly boosted GDP. The war effort led to a surge in government spending, mobilization of resources, and expansion of industries related to defense production. This contributed to a substantial increase in GDP figures, creating the appearance of economic growth and prosperity.
However, it is essential to consider the context and the underlying factors that influenced these GDP numbers. World War II was a time of conflict and immense human suffering. The war resulted in widespread destruction, loss of life, displacement, and significant social and economic disruptions. Resources were redirected towards war production, which often came at the expense of civilian consumption and investment.
Furthermore, GDP does not account for the distribution of wealth and income. While some sectors of the economy thrived during the war, others faced hardships and scarcity. Rationing and resource allocation measures were implemented, which limited the availability of consumer goods for the general population. Additionally, the impact of inflation and wartime price controls can distort the true economic conditions experienced by individuals and households.
Moreover, the human cost of war cannot be captured by GDP alone. The loss of lives, physical and emotional trauma, and long-term social and economic consequences cannot be adequately reflected in GDP figures.
Therefore, relying solely on statistics on real GDP during World War II may give a misleading indication of prosperity. It is crucial to consider a broader range of indicators and factors, such as living standards, employment conditions, social well-being, and the overall human experience, to assess the true impact of the war on the economy and society.
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The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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CRITICAL THINKING For what angle measure(s) is the tangent of an acute angle in a right triangle equal to 17 greater than 1? less than 17The tangent of an acute angle in a right triangle is equal to 1 for angle measures of:The tangent of an acute angle in a right triangle is greater than 1 for angle measures that are:than:The tangent of an acute angle in a right triangle is less than 1 for angle measures that arethan:
1. The tangent of an acute angle in a right triangle equal to 17 greater than 1 that measure angle is 57.29 degrees.
2. The tangent of an acute angle in a right triangle equal to 17 less than 1 that measure angle is 45 degrees.
3. The tangent of an acute angle in a right triangle equal to 17 equal to 1 that measure angle is 45 degrees.
In a right triangle, the tangent of an acute angle is defined as the ratio of the length of the side opposite to the angle to the length of the adjacent side. Let us denote the acute angle by θ, the length of the side opposite to the angle by a, and the length of the adjacent side by b. Then we have:
tan(θ) = a/b
Since the angle θ is acute, we have a > 0 and b > 0. We can use the Pythagorean theorem to relate the lengths of the two sides to the length of the hypotenuse c:
a^2 + b^2 = c^2
Solving for b, we get:
\(b = \sqrt{c^2 - a^2}\)
Substituting this into the expression for tangent, we get:
tan(θ) = a/ \(\sqrt{c^2 - a^2}\)
Now, we can use the given conditions to find the possible values of the angle θ.
1. If tan(θ) is 17 greater than 1, we have:
tan(θ) > 1 and tan(θ) = 17 + 1 = 18
Using the expression for tangent above, we get:
a/sqrt(c^2 - a^2) > 1 and a/√(c^2 - a^2) = 18
Squaring both sides of the inequality and simplifying, we get:
a^2 < (c^2 - a^2) and a^2 = 324(c^2 - a^2)
Solving for a/c, we get:
a/c = √(324/325)
Since a/c is the sine of the angle θ, we have:
sin(θ) = a/c = √(324/325)
Using a calculator or trigonometric table, we can find that the angle whose sine is approximately 0.9999 radians or 57.29 degrees satisfies the given condition.
2. If tan(θ) is less than 1, we have:
tan(θ) < 1
Using the expression for tangent above, we get:
a/√(c^2 - a^2) < 1
Squaring both sides and simplifying, we get:
a^2 > (c^2 - a^2)
Solving for a/c, we get:
a/c > √(2)/2
Since a/c is the sine of the angle θ, we have:
sin(θ) > √(2)/2
Using a calculator or trigonometric table, we can find that the angle whose sine is approximately 0.7854 radians or 45 degrees satisfies the given condition.
3. If tan(θ) is equal to 1, we have:
tan(θ) = 1
Using the expression for tangent above, we get:
a/√(c^2 - a^2) = 1
Squaring both sides and simplifying, we get:
a^2 = c^2 - a^2
Solving for a/c, we get:
a/c = √(2)/2
Since a/c is the sine of the angle θ, we have:
sin(θ) = a/c = √(2)/2
Using a calculator or trigonometric table, we can find that the angle whose sine is approximately 0.7854 radians or 45 degrees satisfies the given condition. Alternatively, we can note that the angle whose tangent is equal to 1 is 45 degrees.
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An actor invested some money at 7% simple interest, and $27,000 more than four times the amount of 8%. The total annual interest earned from the investment was $54,030. How much did he invest at each amount?
What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
Two children weighing 18 and 21 kilograms are sitting on opposite sides of a seesaw, both 2 meters from the axis of rotation. where on the seesaw should a 10-kilogram child sit in order to achieve equilibrium?
The 10 kg child should sit 0.6 meters from the axis of rotation on the seesaw to achieve equilibrium.
To achieve equilibrium on the seesaw, the total torque on each side of the seesaw must be equal. Torque is calculated by multiplying the weight (mass x gravity) by the distance from the axis of rotation.
Let's calculate the torque on each side of the seesaw: -
Child weighing 18 kg:
torque = (18 kg) x (9.8 m/s²) x (2 m)
= 352.8 Nm
Child weighing 21 kg:
torque = (21 kg) x (9.8 m/s²) x (2 m)
= 411.6 Nm
To find the position where a 10 kg child should sit to achieve equilibrium, we need to balance the torques.
Since the total torque on one side is greater than the other, the 10 kg child needs to be placed on the side with the lower torque.
Let x be the distance from the axis of rotation where the 10 kg child should sit. The torque exerted by the 10 kg child is:
(10 kg) x (9.8 m/s^2) x (x m) = 98x Nm
Equating the torques:
352.8 Nm + 98x Nm = 411.6 Nm
Simplifying the equation:
98x Nm = 58.8 Nm x = 0.6 m
Therefore, to attain equilibrium, the 10 kg youngster should sit 0.6 metres from the seesaw's axis of rotation.
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WHAT ARE THE MOST LIKELY TO BE THE NEXT LETTERS OF THE PATTERN A,F,L,S
Answer:
The answer is “e n t “. As this sequence represents the first letter of number one to ten.
Step-by-step explanation:
Brainliest me PLEASE
can someone please help?
Find the surface area of the cone in square centimeters. Round to the nearest tenth
Answer:
A = 1,462.73 cm^2
Step-by-step explanation:
A = (pi)(12)(26.8) + (pi) (12)^2
A = 1,010.34 + 452.39
A = 1,462.73 cm^2
7. From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45° and 60° respectively as shown in Figure 3. Find the height of the transmission tower.
Answer:
Let DC be the tower and BC be the building. Then,
∠CAB=45
o
,∠DAB=60
o
,BC=20 m
Let height of the tower, DC=h m.
In right △ABC,
tan45 o = AB/BC
1=20/AB
AB=20m
In right∆ABD,
tan 60°=BD/AB
√3=h+20/20
h=20(√3-1)m
Order from least to greatest 5.5 7.428, 5.5081, 5.58
Answer:
5.5,5.5081, 5.58, 7.428
Step-by-step explanation:
to look from least to greatest just look at each place value and see which one is slower and any that you can’t see is zero
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