Answer: Mikes home street address number = 52233
Step-by-step explanation:
We need to make a 5 digit number such that
Two digits have values of 50,000 and 200 .
The digits in the ones place is 3 .
Now number is like 50,000 +x + 200 + y + 3 (ten thousand > thousand > Hundred > tens > ones )
Need values for : thousands place and tens place
The value of each of the other digits is ten times the value of the digits on its right .
thousands place value (x)= 200 x 10 = 2000
tens place value (y)= 3 x 10 =30
Required number = 50,000 +2000 + 200 + 30+ 3 = 52,233
∴Mikes home street address number = 52233
f(x)=x² + 2x - 4; Find ƒ(−1)
Answer:
f(- 1) = - 5
Step-by-step explanation:
substitute x = - 1 into f(x)
f(x) = x² + 2x - 4 , then
f(- 1) = (- 1)² + 2(- 1) - 4 = 1 - 2 - 4 = - 5
Graph the image of the given triangle after the transformation with the rule (x, y) - (y, ,x )
Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is
created.
Roy says he has more nickels than dimes. If he has $5.20, how many of
each coin does he have?
Answer:
The total will equal 520 cents. So you could have 100 nickels, worth 500 cents and 2 dimes worth 20 cents. Or 102 nickels worth 510 cents and one dime worth 10 cents.
Step-by-step explanation:
Hope this helps!
help pls first correct answer gets brainleist
n²= 7²+3²
=49+9
=58
n= V58
=7.62m
A water tank at Camp Newton holds 1200 gallons of water at time t = 0. During the time interval Osts 18 hours, water is pumped into the tank at the rate
W(t) = 95Vt sin^2 (t/6) gallons per hour During the same time interval water is removed from the tank at the rate R(t) = 275 sin^2 (1/3) gallons per hour a. Is the amount of water in the tank increasing at time t = 15? Why or why not?
b. To the nearest whole number, how many gallons of water are in the tank at time t = 18? c. At what time t, for 0 st 18, is the amount of water in the tank at an absolute minimum? Show the work that leads to your conclusion d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(C) until the tank becomes empty. Write, but do not solve, an equation involving an integral expression that can be used to find the value of k.
(a)The amount of water in the tank is increasing.
(b)Evaluate \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.
(c)Solve part (b) to get the absolute minimum from the critical points.
(d)The equation can be set up as \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.
What is the absolute value of a number?
The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.
To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:
a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.
At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.
Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.
b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:
\(\int\limits^{18}_0(W(t) - R(t)) dt\)
Evaluate this integral to get the number of gallons of water in the tank at t = 18.
c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.
d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.
The equation can be set up as:
\(\int\limits^k_{18}-R(t) dt = 1200\)
Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.
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PROOF Complete the proof.
Given BC AD, BCLDC, ADL DC
Prove ABCD is a rectangle.
A
B
D
C
In algebra, a number exists even equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.
What is meant by Reflexive Property?In algebra, a number is always equal to itself according to the reflexive property of equality. The equality's reflexive quality. If a is a number, then. a = a.
2. AD = BC due to the congruence of a rectangle's opposite sides.
3. Due to the reflexive property of congruence, DC=DC, each segment is identical to itself.
4. ADC and BCD are right angles since any rectangle's internal angles are right angles (Definition of rectangle).
5. Since they form right angles and all right angles are congruent, ADC=BCD.
6. ADC and BCD are congruent because they have two congruent sides (AD with BC and DC with DC) and a congruent angle between them: Side Angle Postulate Side Congruence Postulate (SAS Congruence Postulate).
7. AC must match BD because Congruent Parts in Congruent Triangles must match (CPCTC).
Statement Reason
1. Rectangle ABCD Given
2. AD=BC Opposite sides of a rectangle are congruent
3. DC=DC Reflexive Property of Congruence
4. <ADC and <BCD are Definition of rectangle
right angles
5. <ADC=<BCD All right angles are congruent
6. ∆ADC=∆BCD SAS Congruence Postulate
7. AC=BD CPCTC
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The table shows the cost to Brenda for her textbooks at her local college. Which description accurately matches the table?
A)New textbooks cost $120 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
B)New textbooks cost $100 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
C)New textbooks cost $120 each, and used textbooks cost $80 each. She is
buying 2 new textbooks and x used textbooks.
D)New textbooks cost $100 each, and used textbooks cost $40 each. She is
buying 2 new textbooks and x used textbooks.
Answer:
a
Step-by-step explanation:
120plus2 equals 240 then add 40 for every number on graph
Answer:
a
Step-by-step explanation:
Select the following correlation that demonstrates the WEAKEST correlation between two variables.
a) +.20
b) - 50
c) +.75 d
) - 76
The correlation that demonstrates the weakest correlation between two variables is option a) +.20.
Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.
In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.
Let's analyze the options provided:
a) +.20:
This indicates a positive correlation, but the value is relatively small (0.20).
It suggests a weak positive relationship between the variables.
b) -50:
This option appears to be a typographical error since the correlation coefficient cannot be negative 50.
Assuming it is meant to be -0.50, this indicates a moderate negative correlation.
c) +.75:
This option represents a strong positive correlation.
With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.
d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.
Assuming it is meant to be -0.76, this indicates a strong negative correlation.
Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.
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PLEASE HELP ME WITH THIS QUESTION PLEASE!!!!! I NEED YOUR HELP
The relative frequency for red or blue is F = 0.64
How to find the relative frequency?Here we know that we have bag with some marbles of 3 different colors, red, green and blue.
We want to find the relative frequency of getting a marble either red or blue.
To get that, we need to take the quotient between the number of times that we need one of these outcomes, and the total number of times that the experiment was performed.
Here we know that the experiment was performed 25 times, and the outcomes were:
red = 8 times
blue = 8 times.
Then the relative frequency is:
F = (8 + 8)/25
F = 16/25
F = 0.64
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Which best describes the data set? it is nonlinear because the ""total houses built"" column does not increase at a constant additive rate. it is nonlinear because the ""months passed"" column does not increase at a constant additive rate. it is nonlinear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" does not show a constant rate of change. it is linear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" shows a constant rate of change.
Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.
:) hope you have a great day!
Suppose we create a 95% confidence interval based on a single voting sample. This sample's confidence interval goes from 45% to 56%. This means we are 95% confident that the ____ falls between 45% and 56%.
The interpretation of the 95% confidence interval is that we are 95% confident that the population proportion falls between 45% and 56%.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, the population parameter is a proportion, hence:
The interpretation of the 95% confidence interval is that we are 95% confident that the population proportion falls between 45% and 56%.
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PLEASE HELP!
I don’t know how to do this:
Graph f(x) and f^-1(x) on the same coordinate plane below.
Answer:
is there a picture that goes with this?
Step-by-step explanation:
A group of 26 canadians were randomly selected among a local group of fitness enthusiasts to participate in an innovative fitness program to lower their heart rate. After four months the group was evaluated to identify if their average heart rate was lower than the national average of 72 beats/minute. The mean heart rate for the group was 68. 5 bpm with a standard deviation of 6 bpm. Is there sufficient evidence to believe that the average heart rate for canadians who participate in this innovative fitness program is lower than the national average heart rate? what statistical procedure should be used to answer this research question?.
The appropriate statistical procedure to use here is a two-tailed hypothesis test for the population mean
What is standard deviation?
The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.Explanation:
Since we are interested in comparing here the mean heart rate for Canadians who participated in this fitness program, to that of the national average,We have to have to conduct a hypothesis test here for sample mean Since we are not trying to find the true population mean based on the sample mean, we do not have to construct a confidence intervalAs the sample size, n = 26 < 30,therefore we will use the t-test instead of the z-test.Therefore, A one-sample t-test for means' is the correct choice.
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3) Complete the function
table below for y = x + 3.
Write the solutions as ordered
pairs.
X
0
2
5
Y
Answer:
3
5
8
Step-by-step explanation:
if x is 0 then
y= x+3
= 0+3
again x is 2 then
y= 2+3
also x is 5 then
y= 5+3
if a storage facility charges $1 per cubic yard and the storage space is 32 ft. by 160 ft. by 10 ft. high, how much is the storage charge?
If a storage facility charges $1 per cubic yard and the storage space is 32 ft. The storage charge is $1999.97.
What is mathematical conversions?
Mathematical conversions refer to the process of changing one unit of measurement to another unit of measurement that is equivalent in value.
First, we need to convert the dimensions from feet to yards, since the rate is given per cubic yard.
32 feet = 10.6667 yards (dividing by 3)
160 feet = 53.3333 yards (dividing by 3)
10 feet = 3.3333 yards (dividing by 3)
Next, we can calculate the volume of the storage space in cubic yards by multiplying the three dimensions:
Volume = 10.6667 yards x 53.3333 yards x 3.3333 yards
Volume = 1999.97 cubic yards (rounded to two decimal places)
Finally, we can calculate the storage charge by multiplying the volume by the rate:
Charge = 1999.97 cubic yards x $1/cubic yard
Charge = $1999.97
Therefore, the storage charge is $1999.97.
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what is the slope on the line ?
please help me.
Answer:
4/7
Step-by-step explanation:
you go to the right 4 times then up 7
7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.
See attachment for reply and answer.
Sandra drew a scale drawing of a house and its lot. She used the scale 1 inch : 3 feet. If the backyard deck is 10 inches wide in the drawing, how wide is the actual deck? feet
Answer:
30 ft
Step-by-step explanation:
The given scale can be multiplied by a suitable factor to make the corrsponding measurement match known values:
1 in : 3 ft = (drawing measure) : (actual measure)
Multiplying by 10 makes the drawing measure match the given value:
10 in : 30 ft = (drawing width) : (actual width)
The actual deck is 30 ft wide.
a function is translated from f(x)=2⋅3x 4 to g(x)=2⋅3x−1. what is the effect on f(x)?
The effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).
Here,
In mathematics, a graph is a visual representation of a set of objects, called vertices or nodes, and the connections between them, called edges or links.
The function f(x) is translated to g(x) by subtracting 1 from the exponent of 3.
This means that g(x) is obtained by shifting f(x) one unit to the right on the x-axis.
The coefficient of 2 remains unchanged, which means that the overall scaling of the function remains the same.
Therefore, the effect on f(x) is that it is shifted one unit to the left on the x-axis to obtain g(x).
In other words, the graph of g(x) is obtained by taking the graph of f(x) and shifting it to the right by one unit.
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The temperature in Toronto at noon during a winter day measured 4 degrees Celsius.The temperature started dropping 2 degrees every hour.Which inequality can be used to find the number of hours,x,agter which the temperature will measure below-3 degrees celsius
Answer:
4−2x<−3
Step-by-step explanation:
check:
now --- 4°
after 1 hr --- 2°
after 2 hrs--- 0°
after 3 hrs--- -2°
after 4 hrs--- -4°
so between 3 and 4 hrs it will reach -3°
4-2x < -3
-2x < -7
x > 3 1/2
Is the relation {(2, -1), (3, -1), (4, 7), (3, 5)} a function?
Answer:
Yes
Step-by-step explanation:
How do you determine if a relation is a function or not?
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Use a special right triangle to express the given trigonometric ratio as a fraction and as a decimal to the nearest hundredth.
sin 45°
Sin 45° can be expressed as a fraction 1/√2 and as a decimal 0.71 to the nearest hundredth.
One of the most well-known triangles in mathematics is the 45°-45°-90° right triangle. A right triangle whose two legs are equal is referred to as a 45-45-90 triangle.
The ratio of their sides in a 45-45-90 triangle is a special ratio that can be used to calculate the sine, cosine, or tangent of any of the angles.
Therefore, the special right triangle which can be used to express the given trigonometric ratio as a fraction and as a decimal to the nearest hundredth is 45°-45°-90° triangle
.In a 45°-45°-90° triangle, the hypotenuse (the side opposite the right angle) is √2 times the length of a leg (the side adjacent to and forming the right angle) because a^2 + b^2 = c^2.
The two legs are equal, so each leg is equal to 1/√2 times the hypotenuse. We must first consider sin 45°. In a 45°-45°-90° triangle, sin 45° = leg/hypotenuse = (1/√2)/1 = 1/√2. 1/√2 is equal to √2/2, so the answer is √2/2.
To approximate this value to the nearest hundredth, √2/2 ≈ 0.71.
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Need help ASAP. Question is in picture.
Answer:
D
Step-by-step explanation:
D doesnot satisfy when numbers are substituted
What is the definition of the sine ratio in a right triangle?.
The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.
If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side.The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine. If you know at least one side of the triangle and one of the acute angles, you can use this function to calculate the length of the side. In a nutshell, the sine, cosine, and tangent ratios are the three basic trig ratios.To learn more about the sine triangle here
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Chinki has some ‘fraction bars'. The longest bar is the red one (R).
She has some purple bars (P) that are 3⁄4 of the length of the red one, some yellow bars (Y) that are 1⁄2 of the length of the red one and some green bars (G) that are 1⁄4 of the length of the red one. Chinki wants to arrange 2 or more different bars end to end to create a bar equal in length to the red bar. 3 DIFFERENT WAYS of doing it are shown:
(Note that GGY and YGG are two DIFFERENT arrangements.)
In all, how many different arrangements like these are possible?
Answer:
7Step-by-step explanation:
Other ways are:
GP, PG, GYG, GGGGSo in total there are:
3 (given) + 4 = 7 arrangementsEmily is a college student who plans to spend a summer in Seattle. She has saved $3,500 for her trip and anticipates spending $400 each week on rent, food, and activities. How can we write a linear model to represent the amount of money she has remaining, M, with respect to the number of weeks that have passed, w?
Write an equation is SLOPE INTERCEPT FORM to represent this problem
This equation is in slope-intercept form, where the slope is -400 (representing the amount Emily spends each week) and the y-intercept is 3,500 (representing the amount of money she initially saved).
The linear model for the amount of money Emily has remaining after spending $400 each week on rent, food, and activities can be written as M = -400w + 3,500. This equation is in slope-intercept form, where the slope of -400 represents the amount Emily spends each week and the y-intercept of 3,500 represents the initial amount she saved. As the number of weeks w increases, the amount of money Emily has remaining decreases linearly. This model allows Emily to predict how much money she will have at any point during her trip based on the number of weeks that have passed, which can help her budget effectively.
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The width of a box is x units.
The height of a box is 3 units.
The length of a box is (x + 10) units.
Which expression represents the volume of the box, in cubic units, when x > 0?
Answer:
3x² + 30x
Step-by-step explanation:
width of a box = x units.
height of a box = 3 units.
length of a box = (x + 10) units.
Volume of the box = length × width × height
= (x + 10) * x * 3
= (x + 10) * 3x
= 3x² + 30x
Volume of the box = 3x² + 30x
Since 2004 the amount of money spent at restaurants in a certain country has increased at a rate of 6% each year.in 2004 about 370 billion was spent at restaurants. If the trend continues about how much will be spent at restaurants in 2019
781.21 billion
Step-by-step explanation:
A = money 2019
P = initial amount 2004, 370 billion
r = interest 6% or 0.06
n = 15 : 2019 minus 2004
A = P(1 + r)^n
A = 370 billion (1 + 0.06)^15
A = 781.21 billion
ChatGPT
Solve for C
a (c+b) =d
A. c= d-ab/b
B. c= ab-d/a
C. c= d-ab/a
D. c= d+ab/a
Answer:
c=d/a-b
Step-by-step explanation:
a(c+b)=d
c+b=d/a
c=d/a-b
Enter a range of values for x.
23
Ħ 42° 3x+15°
[?]
21
The range of x will be -5 to 9 so -5° < x < 9°.
What is a triangle?The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
The minimum possible value of angle 3x + 15 is 0°
So,
3x + 15 = 0
x = -5
The maximum possible value of angle 3x + 15 is 42°
So,
3x + 15 = 42
x = 9
Hence the range of x will be -5° < x < 9°.
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