Answer:
.001 or 1000
Step-by-step explanation:
5 ÷ 5000 = .001 or 5000 ÷ 5 = 1000
Please help :solve the inequality: 6p-20>-36+10p
Answer:
c.p<-1
Step-by-step explanation:
im good at math
For the equation:
y=−x^2+10x−24, the x-intercepts are already given on the graph. Now, using the parabola tool, graph rest of the equation.
The graph of the parabola can be seen in the image below.
How to graph the parabola?
We need to find some points on the parabola, and then draw a curve that connects them.
On the graph you already have the x-intercepts, so you already have two points.
Now let's get another point which is the vertex.
For our parabola:
\(y = -x^2 + 10x - 24\)
The vertex is at:
\(x = -10/(2*-1) = 5\)
Evaluating in x = 5 we get:
\(y = -5^2 + 10*5 - 24 = 1\)
So we also have the point (5, 1), now we can just connect the points and get the parabola:
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please help everything’s due today.
Answer:
Dewey currently has $5 and saves $1 everyday
Initial = $5
Rate of change = $1
Equation y = 5+(days×amount saved)
Day 37 = $42
Step-by-step explanation:
Day 1 - $5
Day 2- $6
Day 3 - $7
Day 37 = 5 + (37×1)
= 5 + 37
= 42
im not sure how to do the equation y , but I think it's like that :D
Q.Find the mistake made in the steps and justifications for solving the equation below.
Picture attached?
A. The justification for step 1 is incorrect and should be the multiplication property of equality.
B. The justification for step 3 is incorrect and should be the addition property of equality.
C. Step 5 is incorrect and should show be x=10/16.
D. Step 4 is incorrect and should be 10x = 24.
Answer:
The correct answer is D. Step 4 is incorrect and should be 10x = 24.
QUICK AND FAST ANSWERS ONLY PLEAZE! 45. Find the coordinates of the midpoint of the segment whose endpoints are H(10, 15) and K(4, 13).A. (3, 1)B. (7, 14)C. (6,2)D. (14,28)
H (10,15)
K (4, 13)
M = mid point
\(M_{HK}=(\frac{x_H+x_K}{2},\frac{y_h+y_K}{2})\)\(M_{HK}=(\frac{10+4}{2},\frac{15+13}{2})\text{ = (}\frac{14}{2},\frac{28}{2})\)\(M_{HK}=\text{ ( 7, 14 )}\)7. The new York Volleyball Association
invited 64 teams to compete in a tournament.
After each round, half of the teams were
eliminated.
How many teams are left after 3 rounds?
Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
In this problem:
64 teams were invited, thus \(a_1 = 64\).After each round, half the teams are eliminated, thus \(q = \frac{1}{2}\).The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
\(a_n = a_1q^{n-1}\)
\(a_4 = 64\left(\frac{1}{2}\right)^{4-1}\)
\(a_4 = 8\)
After 3 rounds, 8 teams are left.
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Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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Write 1 1/6 as an improper fraction
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
What is an equation of the line that passes through the points (-2, 7) and (1, -8)
1. using point-slope formula:
(y2-y1)/(x2-x1)=
(-8-7)/(1-(-2))=
-15/3=
-5
The slope is -5
The equations will be:
y-7=-5(x+2)=
y=-5x-3Find the missing angle measure (?). Round to the
nearest whole number.
47
24
Answer:
50 degrees
Step-by-step explanation:
Triangle = 180
180 - 90 = 90
? = 50 degrees
In ΔNOP, o = 130 cm, ∠O=61° and ∠P=40°. Find the length of n, to the nearest 10th of a centimeter.
Answer:
145.9
Step-by-step explanation:
Gave up on delta math.
Answer:
145.9
Step-by-step explanation:
A safe has 10,000 possible lock combinations. If a thief tried 80 combinations the first hour, then 40 every hour after, how many hours would it take before trying them all?
Answer:
.....................
Step-by-step explanation:
There are 39,945 people in a baseball stadium.
4,130 are rooting for the away team, and the rest
are rooting for the home team. Enter the number
of people who are rooting for the home team.
Answer:
35815
Step-by-step explanation:
just subtract
Answer:
35,815 people rooted for the home team.
Step-by-step explanation:
Subtract the total people watching by the people rooting for the away team.
39,945 - 4,130 = 35,815
Hope this helps! :)
help me out please
Answer:
\(\huge\boxed{\text{(D)} \ 2.25}\)
Step-by-step explanation:
In order to find another way to represent the fraction \(2 \frac{1}{4}\), we need to find different ways to represent fractions as a whole. One way to write fractions are as decimals.
We know that 2 as a decimal is just 2. We can leave that be for now.
We also know that \(\frac{1}{4}\) as a fraction will just be \(1 \div 4\), which is 0.25. Therefore, combining 2 and 0.25 we get 2.25.
Hope this helped!
g The pH measurements of water specimens from various locations along a given river basin are Normally distributed, with mean 8 and standard deviation 0.3. You take water specimens from four randomly selected locations on this river basin. What is the probability that the mean pH measurement of these four specimens is greater than 8.2
Answer:
0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean 8 and standard deviation 0.3.
This means that \(\mu = 8, \sigma = 0.3\)
Sample of 4:
This means that \(n = 4, s = \frac{0.3}{\sqrt{4}} = 0.15\)
What is the probability that the mean pH measurement of these four specimens is greater than 8.2?
This is 1 subtracted by the pvalue of Z when X = 8.2. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{8.2 - 8}{0.15}\)
\(Z = 1.33\)
\(Z = 1.33\) has a pvalue of 0.9082
1 - 0.9082 = 0.0918
0.0918 = 9.18% probability that the mean pH measurement of these four specimens is greater than 8.2
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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7th grade pre algebra east word problem (check picture)
2x - 7 = 26 is the required equation representing the word problem
Third option is correct
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here
Let the number of miles Mary ran this week be x miles
Mary ran 7 miles less than twice the amount of miles she ran last week
Distance ran by Mary this week = 2x -7
By the problem,
2x - 7 = 26
This is the required equation representing the word problem
Third option is correct
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Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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A line with a slope of 1 passes through the point (4,2). What is its equation in
slope-intercept form
Answer:
y = x -2
Step-by-step explanation:
Equation of the line : y =mx + b
m = 1
y = 1x + b
Plugin x = 4 and y =2 in this equation
2 = 1*4 + b
2 -4 = b
b = -2
Equation: y = x - 2
which of the following numbers is a multiple of 4
A. 734
B. 620
C. 626
D. 891
Answer:
the answer is B
Step-by-step explanation:
*a multiple of 4 means when a number is divided by 4, the answer will be a whole number
* a whole number is a number without fraction and decimal
A. 734/4 = 183.5 ❌
B. 620/4 = 155 ✅
C. 626/4 = 156.5 ❌
D. 891/4 = 222.75 ❌
Answer:
B. 620
Step-by-step explanation:
To find a multiple of 4, simply use the choices to divide by 4 and a multiple should end up with a WHOLE number, meaning there's no decimal or fraction.
You can simply get a calculator and do the following-
734 ÷ 4 = 183.5
⬆️ is NOT the answer because there's decimal620 ÷ 4 = 155 ✔️
⬆️ IS the answer because it is a whole number626 ÷ 4 = 156.4
⬆️ is NOT the answer because there's decimal891 ÷ 4 = 222.75
⬆️ is NOT the answer because there's decimalAnd finally, we can check our answer by using 155 × 4, and we get 620. That means 620 is a multiple of 4.
I hope this helps!
Please mark brainliest!
Have a great day!
LaShonda is buying tickets for a group of familles going to a ballet. She wants to have at least 25 tickets. Each adult ticket costs $22.50 and each child ticket costs $17.50. LaShonda
wants to spend no more than $400. Which system of inequalities can LaShonda use to find the number of tickets she can buy?
O A x+y≤ 25 and 400 ≤ 22.5x + 17.5y
O B. x+yz 25 and 400 z 22.5x + 17.5y
O C. x+y≤ 400 and 25 s 22.5x+17.5y
O D. x+yz 400 and 252 22.5x+17.5y
The correct system of inequality LaShonda can use to find the number of tickets she can buy is the statement B. x + y ≥ 25 and 400 ≥ 22.5x + 17.5y.
What is Linear Inequality?Linear equalities are mathematical expressions including variables and constants where the left hand side and right hand sides of the expression are connected with inequality signs like >, <, ≥ and ≤ and the highest degree of the variable should be one.
Here, let x be the number of tickets for the adults and y be the number of tickets for the children.
Then the total number of tickets should be at least 25, which means total number of tickets, x + y, should be greater than or equal to 25.
∴ x + y ≥ 25
Cost per ticket for an adult = $22.50
Cost of x tickets for adults = 22.50 x
Cost per ticket for a child = $17.50
Cost of y tickets for children = 17.50 y
Total cost of the tickets = 22.5x + 17.5y
Now, it is given that LaShonda does not want to spend more than $400. So the total cost should be less than or equal to 400.
22.5x + 17.5y ≤ 400, which is same as 400 ≥ 22.5x + 17.5y.
Hence LaShonda can use the the inequalities x + y ≥ 25 and 400 ≥ 22.5x + 17.5y to find the number of tickets she can buy.
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I _____ some stuff A)'ve done B)'s do C)'s doing D)'s did E) 've
Answer:
A and E
Step-by-step explanation:
If the answer was A, it would translate to:
I have done some stuff.
If the answer was D, it would translate to:
I have some stuff.
Both of the sentences are grammatically correct, so A and E are the answers.
Incorrect:
B. - I's do some stuff - doesn't make sense
C. - I's doing some stuff - doesn't make sense
D. - I's did some stuff - doesn't make sense
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
Step-by-step explanation:
The given problem can be solved by using the properties of parabola.
The statements are true about the function and its graph are as follows;
The value of the function when f(-10) is 82.
The value of a is 1/5 which is positive then the parabola opens upward.
The graph contains the point (20, –8)
Given that,
Consider the quadratic function;
\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.
We have to determine,
Which statements are true about the function and its graph?
According to the question,
The quadratic function;
\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.
1. The value of the function when f(-10) is,
\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(-10) = \dfrac{1}{5}(-10)^2 -5(-10)+ 12\\\\ f(-10) = \dfrac{1}{5}(100) +50+ 12\\\\ f(-10) =20 +62\\\\ f(-10) = 82\end{gathered}f(x)=51x2−5x+12f(−10)=51(−10)2−5(−10)+12f(−10)=51(100)+50+12f(−10)=20+62f(−10)=82
The value of the function when f(-10) is 82.
2. The graph of the function opens down
.\rm f(x) =\dfrac{1}{5}x^2 -5x + 12.f(x)=51x2−5x+12.
The value of a is 1/5 which is positive then the parabola opens upward.
3. The graph contains the point f(x) = 20,
\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(20) =\dfrac{1}{5}(20)^2 -5(20) + 12\\\\f(20) =\dfrac{1}{5}400 -100 + 12\\\\f(20) =80 -100 + 12\\\\f(20)= -20+12\\\\f(20)=-8\end{gathered}f(x)=51x2−5x+12f(20)=51(20)2−5(20)+12f(20)=51400−100+12f(20)=80−100+12f(20)=−20+12f(20)=−8
The graph contains the point (20, –8)
4. The graph contains the point f(x) = 0,
\begin{gathered}\rm f(x) =\dfrac{1}{5}x^2 -5x + 12\\\\f(0) =\dfrac{1}{5}(0)^2 -5(0) + 12\\\\f(0) =\dfrac{1}{5}0 -0 + 12\\\\f(0) =0 -0 + 12\\\\f(0)= 12\end{gathered}f(x)=51x2−5x+12f(0)=51(0)2−5(0)+12f(0)=510−0+12f(0)=0−0+12f(0)=12
The graph contains the point (0, 12).
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f(x)=x^3-4x^2+x+6 find all the real zeros of the function
The zeroes of the polynomial f(x)= x³ - 4x² + x + 6 = 0 are x - 1, x = 2
and x = 3.
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x)= x³ - 4x² + x + 6 = 0.
Now, zeroes of the polynomial should be factors of 6 they are ±1, ±2. ±3, ±6.
Now at x = 1 f(x) = 4 so not a zero, at x = - 1, f(x) = 0 so x = - 1 a zero
at x = 2 f(x) = 0 so x = 2 is a zero,
at x = 2 f(x) = so x = 3 is a zero.
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Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Select the correct ratios.
The table shows the number of boys and girls and I gymnastics class. Girls(65) Boys(35)
Identify the ratios are equivalent to the ratio of the number of girls who attend gymnastics class to the total number of students in the class.
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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Complete the two-way frequency table.
Type of Fruit
Food
Vegetable
Total
Child
15.5%
44.4%
%
Age
Adult (18+)
28.9%
55.6%
%
Total
57.8%
%
%
The values in the missing places are 26, 52, 14, 40 and 50
What is a frequency table?A table drawn up to show the distribution of the frequency of occurrence of a given characteristic according to some specified set of class intervals.
Given is a frequency table with some missing places,
For every missing places, we just need to add or subtract from the total.
Types of food Age
child adult (18+) Total
Fruit 26 26 52
Vegetable 14 24 38
Total 40 50 90
First missing place = 50-24 = 26
Second missing place = 26+26 = 52
Third missing place = 38-24 = 14
Fourth missing place = 26+14 = 40
Fifth missing place = 90-40 = 50
Hence, The values in the missing places are 26, 52, 14, 40 and 50
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Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks
Answer:
30w+200=1000
Step-by-step explanation:
There are six pizzas there are 36 players on the team. If each member has one slice and each pizza has eight slices how much pizza in fraction form will be left over.
There will be 12 slices of pizza left over, which can be expressed as 3/2 or 1 1/2 slices in fraction form.
To find out how much pizza will be left over, we need to calculate the total number of slices available and subtract the number of slices consumed by the players.
Given that there are six pizzas and each pizza has eight slices, the total number of slices available is 6 pizzas * 8 slices/pizza = 48 slices.
Since there are 36 players on the team, and each player has one slice, the total number of slices consumed is 36 slices.
To determine the remaining slices, we subtract the consumed slices from the total available slices: 48 slices - 36 slices = 12 slices.
Therefore, there will be 12 slices of pizza left over.
To express this as a fraction, we can write it as 12/1, which simplifies to 12. This means there will be 12 whole slices of pizza left over.
If you would like to express it as a fraction in its simplest form, you can write it as 12/8. By dividing both the numerator and denominator by their greatest common divisor, which is 4, we get 3/2. So, in fraction form, there will be 3/2 or 1 1/2 slices of pizza left over.
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