Answer:
straight line through (0,4) and (2,0), shade everything above it
Step-by-step explanation:
First solve the equality, which will give you a straight line.
Then check if the inequality (the > sign) means you have to shade the area above or below it.
2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.
Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.
Plot these two points and draw a line through them.
Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.
If you chose an angle, how are the construction steps you completed similar to the steps you would have taken to construct and bisect a line segment? How are they different?
There are different ways to construct an angle. The steps used in making a line segment are; First, you have to put the compass at one specific end of the line segment. Then you shift the compass slowly a little bit so it will be longer than half the length of the line segment. Then you have to draw arcs up and down the line. while using the same compass width, you then draw arcs from one specific end of the line. and thereafter you put your ruler at the point where the arcs cross, and you then draw the line segment. The difference is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in the construction of a line segment, there are differences in length. What is the construction process of Angles? This entails a good construction process in making angles. They are step-by-step processes used to produce detailed and exact geometric figures.
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of
the cardboard in inches?
Area = 36 - square inches
4
width = 4 inches
length = ?
8 7 7
Og
11
O 32
20
O 154
7
20
Answer:
9 inchesStep-by-step explanation:
Area of the rectangular cardboard = Length * Width ... 1
Given the area of the cardboard = 36-square inches
If the length of the cardboard can be found by dividing its area by its width, then Length = Area/Width ... 2
Given the width to be 4 inches
Length = 36 in²/4 in
Length of the cardboard = 9 inches
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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The typical amount of sleep per night that adults get has a bell-shaped distribution with a mean of 7.5 hours and a standard deviation of 1.3 hours. About 68% of adults typically sleep between a minimum of ___ hours a night and a maximum of ____ hours a night. Please enter your answer in the following format and round to the first decimal place: (min_value, max_value)
Answer:
(6.2, 8.8).
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 7.5 hours
Standard deviation = 1.3 hours
About 68% ...
By the Empirical Rule, within 1 standard deviation of the mean.
7.5 - 1.3 = 6.2
7.5 + 1.3 = 8.8
So in the format requested
(6.2, 8.8).
What was yesterday? Or tim
Answer:
Tuesday may 18 2020
Step-by-step explanation:
Ronda has 34.27 in her checking account. She deposits $25.00 into her account and then writes a check for $59.99. What is Ronda's account balance now?
A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
You want to save
₹
117
,
000
₹117,000₹, 117, comma, 000 to buy your first self-driving magic carpet. You deposit
₹
90
,
000
₹90,000₹, 90, comma, 000 in a bank at an interest rate of
6
%
6%6, percent per annum.
How many years do you have to wait before you can buy your magic carpet?
If you want to save ₹117,000 to buy your first self-driving magic carpet and deposit ₹90,000 in a bank account paying an interest of 6% compounded annually, you will wait for 4.5 years (period) before you can buy your item.
How the period is computed?The period that you will wait to earn a future value of ₹117,000 after depositing ₹90,000 at 6% compounded annually can be determined using an online finance calculator as follows:
I/Y (Interest per year) = 6%
PV (Present Value) = ₹90,000
PMT (Periodic Payment) = ₹0
FV (Future Value) = ₹117,000
Results:
N = 4.503 years
Total Interest = $27,000.00
Thus, with the present investment of ₹90,000 today, you will have a future value of ₹117,000 in 4.5 years at 6% compounded interest.
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2 Write 386 in expanded form
Answer:
300+ 80+6
Step-by-step explanation:
i think i not sure
‼️PLEASE HELP MY FINAL IS TODAY‼️‼️‼️
9. Determine mzB. Round to the nearest degree.
35
C
B
a.
34°
43°
C. 47°
d. 56°
b.
24
Answer:
The answer is 56°. Angle B is an exterior angle of triangle ABC, which means it is equal to the sum of the two remote interior angles (angles A and C). Angle A is 35°, angle C is 121°, so angle B is 56°.
A pizza parlor offers a choice of 12 different toppings. How many 2-topping pizzas are possible? (no double-orders of toppings are allowed)
==========================================================
Explanation:
There are 12 choices for the first topping and 11 for the next topping. The decrease is to account for the fact we cannot select a repeat topping.
That gives 12*11 = 132 permutations. If order of toppings mattered, then this would be our final answer.
However, the topping order doesn't matter. So we need to divide by 2 to correct for the double counting.
There are 132/2 = 66 combinations.
------------
Alternative Method:
n = 12 toppings are available and r = 2 selections are allowed
Order doesn't matter so we use the nCr combination formula
\(n C r = \frac{n!}{r!(n-r)!}\\\\12 C 2 = \frac{12!}{2!*(12-2)!}\\\\12 C 2 = \frac{12!}{2!*10!}\\\\12 C 2 = \frac{12*11*10!}{2!*10!}\\\\ 12 C 2 = \frac{12*11}{2!}\\\\ 12 C 2 = \frac{12*11}{2*1}\\\\ 12 C 2 = \frac{132}{2}\\\\ 12 C 2 = 66\\\\\)
There are 66 combinations
Notice the 2nd to last step involves 132/2 which was mentioned in the previous section.
An open box is to be made from a square piece of cardboard, 18 inches by 18 inches, by removing a small square from each corner and folding up the flaps to form the sides. What are the dimensions of the box of greatest volume that can be constructed in this way
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
How to solve the dimension?
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
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A firm’s profit increased from 2020 to 2021 by 20%, but it decreased by 17% from
2021 to 2022. Which of the years 2020 and 2022 had the higher profit
Answer:
Step-by-step explanation:
Let the profit in 2020 be P.
The profit in 2021 would then be 1.20P (20% increase).
The profit in 2022 would be 0.83(1.20P) = 0.996P (17% decrease from 2021).
We can see that the profit in 2020 was P, while the profit in 2022 was less than P (0.996P).
Therefore, the higher profit was in 2020.
The solution is, the higher profit was in 2020.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Let the profit in 2020 be P.
The profit in 2021 would then be 1.20P (20% increase).
The profit in 2022 would be 0.83(1.20P) = 0.996P (17% decrease from 2021).
We can see that the profit in 2020 was P, while the profit in 2022 was less than P (0.996P).
Therefore, the higher profit was in 2020.
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there are 25 students on 5 teams find an equivalent rate
Answer:
there are 25 students on 5 teams find an equivalent rate
Step-by-step explanation:
5 in each group because 5x5 = 25.
Answer:
5 students per group
Step-by-step explanation:
25 students divided into 5 groups makes equal students in each group. That would make it equivalent.
18x-3y=-15
-6x+y=5
Solve by substitution
Answer:
consistent system with equation \(y=6x+5\)
Step-by-step explanation:
\(18x-3y=-15\), \(-6x+y=5\)
To solve by substitution, we have to isolate a variable in one of the equations. I will isolate y in the second equation.
\(-6x+y=5\)
+6x +6x
\(y=6x+5\)
Next, substitute this y value for y in the first equation:
\(18x-3y=-15\)
\(18x-3(6x+5)=-15\)
and distribute.
\(18x-18x-15=-15\)
\(-15=-15\)
We are left with an equality of constants. This means that the system of equations is actually just one equation, meaning it has an infinite number of solvable points (this is sometimes called consistent). And, its equation is just what we solved for in the first step:
\(y=6x+5\)
Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Excel File: data10-03.xlsx Enter negative values as negative numbers. a. What is the value of the test statistic? (to 2 decimals) b. What is the -value? (to 4 decimals) c. With , what is your hypothesis testing conclusion? - Select your answer -
Answer:
\(z = -1.53\) --- test statistic
\(p = 0.1260\) --- p value
Conclusion: Fail to reject the null hypothesis.
Step-by-step explanation:
Given
\(n_1 = 80\) \(\bar x_1= 104\) \(\sigma_1 = 8.4\)
\(n_2 = 70\) \(\bar x_2 = 106\) \(\sigma_2 = 7.6\)
\(H_o: \mu_1 - \mu_2 = 0\) --- Null hypothesis
\(H_a: \mu_1 - \mu_2 \ne 0\) ---- Alternate hypothesis
\(\alpha = 0.05\)
Solving (a): The test statistic
This is calculated as:
\(z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}\)
So, we have:
\(z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}\)
\(z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}\)
\(z = \frac{-2}{\sqrt{0.8820 + 0.8251}}\)
\(z = \frac{-2}{\sqrt{1.7071}}\)
\(z = \frac{-2}{1.3066}\)
\(z = -1.53\)
Solving (b): The p value
This is calculated as:
\(p = 2 * P(Z < z)\)
So, we have:
\(p = 2 * P(Z < -1.53)\)
Look up the z probability in the z score table. So, the expression becomes
\(p = 2 * 0.0630\)
\(p = 0.1260\)
Solving (c): With \(\alpha = 0.05\), what is the conclusion based on the p value
We have:
\(\alpha = 0.05\)
In (b), we have:
\(p = 0.1260\)
By comparison:
\(p > \alpha\)
i.e.
\(0.1260 > 0.05\)
So, we fail to reject the null hypothesis.
At the mall, 6 shirts cost $57. Each shirt costs the same amount. At this rate, how much would it cost to buy 4 shirts?
PRETTY PLEASE HELP!!!!
57/6 = $9.50 per shirt
9.50 x 4 = $38
Answer: $38
Answer:
$38
Step-by-step explanation:
57 ÷ 6 = 9.5
9.5 x 4 = 38
hope this helps
have a good day
Which is the graph of the equation 49x^2 - 16y^2 = 784
Answer:
its A
Step-by-step explanation:
just graph the equation.
A
is a number formed by multiplying ten by a number.
I'm not really sure what the question is here, because you just gave a statement... but if you are trying to get an expression from words, here is what it would be:
A = 10N
I'm also not sure if "a number" is equal to the same as "a number" at the end, but I'm guessing not. If it is though, and you're trying to find the value of A, the answer would be:
A = 10
*Please provide the question you are asking here, not just statements, next time, so that people can help you.
I hope this helped :)
The equation 2(5 + 7) = (2•5) + (2•7) illustrates what
property?
A) associative property
B) commutative property
C) distributive property
D) identity property
Answer:
It's C) distributive property
Step-by-step explanation:
You are distributing 2 to 5 and 7
The slope is 60. It represents the rate at which the amount of water changes each hour.
True
False
Answer:
True
Step-by-step explanation:
Slope:
The slope of an equation represents how the y value changes as the x values changes, defined as: \(\frac{\text{change in y}}{\text{change in x}}\), so the slope of 60 can be represented as: \(\frac{60}{1}\), which tells us the amount of water (y-axis) increases by 60 units each hour (x-axis), or in other words, the rate at which the amount of water changes each hour.
Someone tell me the answer please
Answer:
r+b=n
Step-by-step explanation:
The red counters + the blue counters is the same as the total amount of counters in the bag.
If a-4b=18,what is 3a/81b
Answer:
You cannot solve this problem with only one given equation
Step-by-step explanation:
You need at least 2 equations to solve for two variables.
Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
Write the series using sigma notation to find the sum of the termsDrag the tiles to the correct location is not a tiles will be used
The number over the sigma sign is 5
Explanation:
5 represent the finale value
I need help please help me
Answer:
B, slope and rate of change
Step-by-step explanation:
Slope and rate of change mean the same thing, as they both mean how a graph will increase/decrease as the change in y over change in x (rise over run)
−4x−2 + 3y0 if x = 2 and y = 5
Hey there!
-4x^-2 + 3y^0
= -4(2)^-2 + 3(5)^0
= -4(1/4) + 3(5)^0
= -1 + 3(5^0)
= -1 + 3(1)
= -1 + 3
= 2
Therefore, the answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
8 25/40 1. Justin asked some teachers how many cups of coffee they each drank each yesterday. The table shows some of his results. Complete the table and determine the mean number of cups of coffee drank yesterday. Weighted Total Number of Cups 0 1 2 3 4 5 Frequency 5 9 7. 4 3 2 UW 2. **The mean of the table below is 2.71. Complete the table and set up an equation to determine the missing values. 1 3 Value Frequency Total 2 7. 4 5 5 3 6
we have that
mean=(1*6+2*7+3*x+4*5+5*3)/(6+7+x+5+3)
rEmember that
mean=2.71
substitute
2.71=(6+14+3x+20+15)/(21+x)
2.71(21+x)=55+3x
56.91+2.71x=55+3x
3x-2.71x=56.91-55
0.29x=1.91
x=6.59the totals are
6 14 19.77 20 15tableValue 1 2 3 4 5Frequency 6 7 6.59 5 3total 6 14 19.77 20 15Problem N 1weighted total
0*5=0
1*9=9
2*7=14
3*4=12
4*3=12
5*2=10
mean=(0+9+14+12+12+10)/(5+9+7+4+3+2)
mean=(57)/(30)
mean=1.9table
number of cups frequency weighted total
0 5 0
1 9 9
2 7 14
3 4 12
4 3 12
5 2 10