Step-by-step explanation:
you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1
then divide 5 from both sides 5x < 3 This leaves 5 5
you with x < 3/5
One factor in the expression 5(n + 4) is 5. What is the second factor?
Answer:
n+4
Step-by-step explanation:
A factor is what makes up a multiplication sentence. It is a number that is multiplied with another number that gives us the product, the answer to a multiplication sentence.
Supplementary angles
Answer: ∠EBJ
Step-by-step explanation:
Starting Angle: ∠EBH
Possible Supplement: ∠EBJ
Mina has 462 flowers if she wants to put nine flowers in each phase how many for vases will she have how many flowers will she have left over
Need help please!! Will give brainliest!!!
Answer:
3
-1/3
Step-by-step explanation:
up 3 right 1
down 1 right 3
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all
The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'= (6,6), B'= (12,18) and C'=(18,6).
The scale factor is the ratio between the size of the original object to a new, smaller depiction of it (bigger or smaller). For instance, by increasing each side by, say, 2, we can expand the size of a rectangle with sides of 2 cm and 4 cm. With a scale factor of 2, the new shape that results from scaling the old shape is twice as large. In the case of a fractional scaling factor, the shape will be smaller. Reduction is the term for this. Therefore, a scaling factor of 1/2 indicates that the new shape is equal to half of the old shape.
As A (2,2), B(4,6), C(6,2)
After dilation by factor 3
So, A'= (6,6)
B'= (12,18)
C'=(18,6)
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PLSSS HELP ME ASAP
Find the perimeter. Simplify your answer.
Answer:
16s-5
Step-by-step explanation:
6s+3+4s+6s+-8
(6s+4s+6s) + (3+-8)
16s + -5
16s-5
find the value of h(-67) for the function below
h(x)=-49x-125
A certain car traveling 17.0 mph skids to a stop in 23 meters from the point where the brakes were applied. In approximately what distance would the car stop had it been going 47.6 mph?
Answer:
64.4
Step-by-step explanation:
47.6/17=2.8
2.8 times 23=64.4
you see big brainz
Determine which translations would map Figure
W onto Figure X
The sequence of steps that translates figure W to figure X are -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.Refer to the image attached. It shows figure W and figure X. We can write the sequence of steps for the given translation as -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.To solve more questions on translations, visit the link-
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How can the statement be rewritten as a conditional statement in if-then form? A rectangle with 4 congruent sides is a square.
A. If a rectangle has 4 congruent sides, then it is a square.
B. If a figure has 4 congruent sides, then it is a square.
C. If a figure has 4 congruent sides, then it is a rectangle or square.
D. If a figure is a rectangle, then it is a square.
Answer:
it is a
Step-by-step explanation:
The conditional statement of ''A rectangle with 4 congruent sides is a square'' is as,
A. If a rectangle has 4 congruent sides, then it is a square.
Option A is true.
Here,
The statement are given as;
''A rectangle with 4 congruent sides is a square''.
We have to find the conditional statement.
What is Conditional statement?
Conditional statements are those statements where a hypothesis is followed by a conclusion. It is also known as an " If-then" statement. If the hypothesis is true and the conclusion is false, then the conditional statement is false.
Now,
The statement are given as;
''A rectangle with 4 congruent sides is a square''.
Hence, the conditional statement is written as;
'' If a rectangle has 4 congruent sides, then it is a square.''
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What is the value of y?
Answer:
C. y = 66
Step-by-step explanation:
this is a equal triangle so you know you have to find out what that one angle is to get the rest
180 - 114 = 66
the property manager at a large apartment complex wants to collect a simple random sample of its tenants and use a 90% confidence interval to estimate the proportion of its tenants who have pets. of the following, which is the smallest sample size that will result in a margin of error of no more than 4 percentage points?
The minimum sample size required to ensure a margin of error of no more than 4 percentage points is 294.
A simple random sample of tenants can be used to estimate the proportion of tenants who have pets in the complex. To ensure that the margin of error is no more than 4 percentage points, the sample size needs to be calculated. The formula to calculate the sample size given a margin of error of 4 percentage points and a confidence level of 90% is:
Sample Size = (1.645/0.04)2
Plugging in the values, the sample size comes out to be 294.
Therefore, the minimum sample size required to ensure a margin of error of no more than 4 percentage points is 294.
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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep deprivation. What size sample should be obtained in order to be 99 % confident that the sample proportion will not differ from the true proportion by more than 4%? Round up to the nearest whole number.
The sample size needed to be 99% confident that the sample proportion will not differ from the true proportion by more than 4% is given as follows:
n = 1037.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.
As we have no estimate, the parameter is given as follows:
\(\pi = 0.5\)
Then the sample size for M = 0.04 is obtained as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
\(0.04 = 2.575\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.04\sqrt{n} = 2.575 \times 0.5\)
\(\sqrt{n} = \frac{2.575 \times 0.5}{0.04}\)
\((\sqrt{n})^2 = \left(\frac{2.575 \times 0.5}{0.04}\right)^2\)
n = 1037.
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John has B bats and buys C bats more. He then gives away D bats. Which of the following algebraic statements correctly shows how many bats John has left?
A. d - bc
B. b - c - d
C. b + c - d
D. b + d - c
The Correct algebraic expressions is -
C. b + c - d
Explanation-\(\longrightarrow\)Initially John has b bats , Now he buys c bat more , therefore no. of bats will be added to determine the number of bats , in algebraic expressions it will be-
b+c\(\longrightarrow\)Now John gives away d bats, therefore d bats will be subtracted from number of total bats he have now, in algebraic expressions it will be-
(b+c) - d=> b+c- dPaulina sells beef in a competitive market where the price is $5 per pound. Her total revenue and total costs are given in the table below.
9514 1404 393
Answer:
see below
Step-by-step explanation:
Perhaps you want the table filled in.
Profit is the difference between revenue and cost.
Marginal anything is the change in that divided by the change in the number of units (pounds of beef). As you'd expect, the marginal profit is the difference between marginal revenue and marginal cost.
It is convenient to let a spreadsheet do these repetitive calculations.
I NEED HELP WITH PERCENT PROBLEM
Answer:
76$
Step-by-step explanation:
114=.6y; y= original price
y=190, original price
190-114=76
how do I solve it? I don't know how, I can't remember and I don't have my notes
Answer:
-2
Step-by-step explanation:
\(\frac{(-2)^3+3 (4)}{-8+6}\)
\(= \frac{-8 + 12}{-2}\)
\(= \frac{4}{-2}\)
\(= -2\)
Answer:
2.3
Step-by-step explanation:
First we must get rid of the exponent, which is that little 3 at the top.
To do this, we will do:
(-2) × (-2) × (-2) = -8
Now we have -8 + 3.4, which equals -4.6
Next we will combine the numbers in the denominator, to get -2.
Now, all together, we have -4.6/-2.
Last but not least, we will divide -4.6 by -2, to get 2.3
And that's your answer, hope this helps you :)
Sorry if it doesn't, though.
The table shows the outcomes and probabilities for a spinner game.
Which statement is true?
A. On average, players lose $0.50 per game.
B. Every player loses $0.50 per game.
C. On average, players lose $2.40 per game.
Answer: on average, players lose $.50 per game
Step-by-step explanation: i just took the test and got a 100!!!
Answer:
On average, players lose $0.50 per game.
Step-by-step explanation:
Got it right on the test.
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
what fraction is equivalent to -3/2
Answer:
-6/4
Step-by-step explanation:
-6/4 can be divided by 2 on both the numerator and the denomanator so it simplifies to -3/2
Answer:
-6/4, -9/6, -12/8...
Step-by-step explanation:
Just multiply the numerator and denominator by any number to get a fraction equivalent to -3/2. Also, don't forget the negative sign (-).
Hope this helped.
In a game against the Creek Side
Crickets, the East Port Pandas football
team score one touchdown with an
extra point, which gave them 7 points.
Their kicker made every field goal he
attempted for 3 points each. The Panda's
final score was less than the Crickets'
score, which was 23 points. How many
field goals did the Pandas make?
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
PLEASE HELP!!! GIVING EXTRA POINTS FOR ANYONE THAT ANSWERS CORRECTLY FIRST
Answer:
\(5.4*10^7 gallons\)Step-by-step explanation:
There are 60 seconds in a minute, and 60 minutes in a second therefore there are...
60*60=3600 seconds in an hour
We are given that 1.5 × 10⁴ gallons flow every second. We can use this information to set up an unit converter.
\(3600 \ seconds(\frac{1.5*10^4\ gallons}{1\ second})=3600*1.5*10^4=5400*10^4\)
Note that we need the answer in scientific notation. We need to multiply a number that is between 1 and 10 by \(10^n\)...
\(5.4*10^7\ gallons\)
Can you help me please asap
The general solution to the given differential equation is:
y = (x/12) - (1/288)
How to solve the Differential Equation?
We want to solve the differential equation given as: y' - 24xy = -2x
The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is -24x. Therefore, the integrating factor is e^(-24x).
Multiplying the entire equation by the integrating factor, we get:
e^(-24x)y' - 24xe^(-24x)y = -2xe^(-24x)
The left side of the equation is the derivative of (e^(-24x)y) with respect to x:
(d/dx)(e^(-24x)y) = -2xe^(-24x)
Integrating both sides with respect to x, we have:
e^(-24x)y = ∫(-2xe^(-24x))dx
Integrating the right side, we get:
e^(-24x)y = -∫(2xe^(-24x))dx
To evaluate the integral on the right side, we can use integration by parts. Let's differentiate -2x and integrate e^(-24x):
u = -2x (differential of u = -2dx)
dv = e^(-24x) (integral of dv = -1/24e^(-24x)dx)
Using the integration by parts formula:
∫uv dx = uv - ∫v du
We can compute the integral as follows:
-∫(2xe^(-24x))dx = -[(-2x)(-1/24e^(-24x)) - ∫(-1/24e^(-24x))(-2dx)]
= -[x/12e^(-24x) + 1/12∫e^(-24x)dx]
= -[x/12e^(-24x) + 1/12(-1/24)e^(-24x)]
= -[x/12e^(-24x) - 1/(12*24)e^(-24x)]
= -[x/12e^(-24x) - 1/(288e^(-24x))]
= -[x/12 - 1/288]e^(-24x)
Substituting this back into the previous equation, we have:
e^(-24x)y = -[-(x/12 - 1/288)e^(-24x)]
Simplifying further:
e^(-24x)y = (x/12 - 1/288)e^(-24x)
Canceling out e^(-24x) on both sides:
y = x/12 - 1/288
Therefore, the general solution to the given differential equation is:
y = x/12 - 1/288
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What is the probability that a 5-card straight flush will be drawn (a straight flush is 5 cards in a row, all cards the same suit) if the first two cards drawn are the 2 of spades and the 6 of spades
Answer:
\(\mathbf{\dfrac{1}{19600}}\)
Step-by-step explanation:
From the information given:
For 5 cards to be drawn where the first two are 2 spades and 6th of the spade.
Then the cards should be: 2,3,4,5,6 of spade.
Since 2 and 6 are already drawn.
Then;
the 3rd card maybe 3, 4, or 5 of the spade.
Thus, the probability that it is the third card is: 3/50
The probability is the 4th card 2/49 ; &
The probability that it is the fifth card is 1/48
Thus, the probability that a 5-card straight flush is drawn is:
\(P(5) = 1 \times 1\times \dfrac{3}{50}\times \dfrac{2}{49} \times \dfrac{1}{48}\)
\(P(5) = \dfrac{1}{19,600}\)
Let A, B, C be three points with position vectors a, b, c respectively. You may assume that the three points A, B, C do not all lie on the same straight line. Let D, E, F be the midpoints of the line-segments BC, AC, AB respectively. What is the point with position vector 1/3 (a+b+c)?
The midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.
Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:
D = (B + C) / 2
E = (A + C) / 2
F = (A + B) / 2
To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:
1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)
Expanding the equation further:
1/3(a + b + c) = 1/3(3F - 2D - E + b + c)
= (F - (2/3)D - (1/3)E) + (1/3)(b + c)
Therefore, the point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
Substituting the midpoints:
P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)
= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)
= (b + c - B - C) / 2 + (1/3)(b + c)
Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:
P = (b + c - B - C) / 2 + (1/3)(b + c)
The point with the position vector 1/3(a + b + c) is given by:
P = F - (2/3)D - (1/3)E + (1/3)(b + c)
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9. Patty's Pies produces pies. The company has a fixed cost of $20,000. Each pie sells for $8.75 with a variable cost of $4.00 per pie. Find the breakeven
point for Patty's Pies. (Round your answer to the nearest whole pie.)
A. 2,411 pies
B. 4,000 pies
C. 4,211 pies
D. 5,000 pies
The break-even point for Patty's Pies is C. 4,211 pies.
What is the break-even point?The break-even point is the sales units that equate the sales revenue with the total costs (fixed and variable).
At the break-even point, there is no profit, there is no loss. Above this point, profits are generated. Below it, losses are recorded.
Fixed cost = $20,000
Selling price per pie = $8.75
Variable cost per pie = $4.00
Contribution margin per pie = $4.75 ($8.75 - $4.00)
Contribution margin ratio = 54.29% ($4.75/$8.75 x 100)
Break-even point in sales units = Fixed costs ÷ Contribution margin per unit
= $20,000 ÷ $4.75
= 4,211 units
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a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.
Step-by-step explanation:
A: If there are 2 modes, x can be either 1 or 2.
B: To find the mode of the data set, we need to count how many times each number appears.
- 0 appears 2 times
- 1 appears 4 times
- 2 appears 4 times
- 3 appears 3 times
- 4 appears 1 time
Since both 1 and 2 appear 4 times in the data set, there are two modes.
For x, if we add it to the data set, then the mode must be x plus either 1 or 2.
If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.
So a possible value for x could be 2, and the mode would be 2.
simplify -8z^8+(-14z^8)
Answer:
-22x^8
Step-by-step explanation:
-8z^8 + (-14z^8)
z^8 = z^8
-8 - 14 = -22
-22z^8
PLEASE HELP!! If P = (-2, 2), Q = (3, 4), R = (-2, 5) and S = (2, -8) Find the exact magnitude of vector: 3QR + PŚ PS
Therefore , the solution of the given problem of vector comes out to be vector 3QR + P = √(170).
Describe vector.A vector is a value with speed and phase but no specific place in mathematics. Examples of such quantities include acceleration and velocity. A vector is something that has both quantity and direction. A vector can be thought of geometric as either a directed line piece, whose length relates to the vector's magnitude and whose direction is indicated by an arrow.
Here,
We must first determine each separate vector's magnitude before we can determine the magnitude of the vector 3QR + P:
=> Vector QR: (Q - R) (3, 4) - (-2, 5) = (5, -1) (5, -1)
=> Symbol P = P + S (-2, 2) - (2, -8) = (-4, 10) (-4, 10)
The vector 3QR + P can then be determined as follows:
=> Vector 3QR = 3(5, -1) = (15, -3)
=> Vector 3QR + PŚ = (15, -3) + (-4, 10) = (11, 7)
A vector with the components (a,b) has the following magnitude:
√(a+b) = |v|
Consequently, the size of the vector 3QR Plus P is:
√(112 + 72) = √(3QR + P)
Consequently, sqrt is the precise value of the vector 3QR + P = √(170).
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