Write an absolute value equation which means t is 7 units
from zero.
Which of the following statements would be represented with P → Q? Question 14 options: A) x = 5, but y = 9. B) If x = 5, then 2x = 10. C) x = 5, and 2x ≠ 8. D) x = 5 if and only if y = 9.
The statement that can represent P = Q is If x = 5, then 2x = 10. That is option B.
What is equivalent value?An equivalent value is defined as the value or an equation that can be used to replace another value in an expression.
From the question, the expression P--> Q means that P = Q.
The statement that shows that a value is equivalent to the other;
x = 5, then 2x = 10
That is, X = 5 can also be written as follows;
2x = 10.
This is because, when 2x = 10 is simplified, X = 10/2 =5
Therefore, P =Q because both shears the same value and can be said to be equivalents.
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Write the equation of a parabola with the focus at (3, 0) and the directrix at x = –3.
x^2 = –3y
y^2 = –3x
x^2 = 12y
y^2 = 12x
The equation of the parabola whose focus is at (3, 0) and directrix at x = - 3 is y² = 12 · x. (Correct choice: D)
How to derive the equation of the parabola
In this problem we need to determine the equation of a parabola based on the information of the focus and the directrix. The vertex form of the parabola is described below:
4 · p · (x - h) = (y - k)²
Where p is the distance from the vertex to the focus. The coordinates of the vertex is the midpoint of the line segment of the least distance between the directrix and the focus.
First, determine the coordinates of the vertex:
(h, k) = 0.5 · (- 3, 0) + 0.5 · (3, 0)
(h, k) = (0, 0)
Second, calculate the distance from the vertex to the focus:
p = 3 - 0
p = 3
Third, write the vertex form of the parabola:
y² = 12 · x
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Neeeedddd Helpp Pls!!! I'll give brainliest to the person with the correct answer!
Show work please.
M∠M = 6x – 6 and m∠P = 4x + 10, what is m∠M?
Fewer than %97 of adults have a cell phone. In a reputable poll of 1160 adults, %88
said that they have a cell phone. Find the value of the test statistic
The value of the test statistic of the hypotheses is; -17.969
How to find the test statistic?
The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.
We are given;
Sample size; n = 1160
Sample proportion; p^ = 88% = 0.88
Population proportion; p = 97% = 0.97
The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97
The null hypothesis is expressed as;
H₀: p = 0.97
The alternative hypothesis is expressed as;
Hₐ: p < 0.97
The value of the test-statistic is gotten from the formula;
z = (p^ - p)/(√(p(1 - p)/n))
z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))
z = -17.969
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NO LINKS!! Please help me with these graphs Part 3
Answer:
[tex]\textsf{a.} \quad x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]
b. y = -6
c. Minimum point at (1, -7).
d. Domain: (-∞, ∞)
e. Range: [-7, ∞)
f. See attachment.
Step-by-step explanation:
Given function:
[tex]\text{f}(x)=x^2-2x-6[/tex]
As per the question, use a graphing calculator to graph the given function.
Part aThe x-intercept(s) are the points at which the curve crosses the x-axis.
x-intercepts: [tex]x = 1 - \sqrt{7},\quad x = 1 + \sqrt{7}[/tex]The y-intercept is the point at which the curve crosses the y-axis.
y-intercept: y = -6Part cFrom inspection of the graph:
Minimum point at (1, -7).Part dThe domain of a function is the set of all possible input values (x-values).
The domain of the given function is unrestricted.
Domain: (-∞, ∞)Part eThe range of a function is the set of all possible output values (y-values).
As the function has a minimum point at y = -7, the range is restricted.
Range: [-7, ∞) Part fGraph label the axes using a scale of 1 (see attachment).
Plot the minimum point (1, -7).differentiate y=in(3-4cosx)
For given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
In this question, we have been given an equation y = ln(3 - 4 cos(x))
We need to differentiate y = ln(3-4cosx)
dy/dx
= d/dx(ln(3 - 4 cos(x)))
= 1/(3 - 4 cos(x)) * d/dx(3 - 4cos(x)) .......(by Chain rule)
= 1/(3 - 4 cos(x)) * [4 sin(x)]
= 4sin(x) / (3 - 4cos(x))
Therefore, for given equation y = ln(3 - 4 cos(x)),
dy/dx = 4sin(x) / (3 - 4 cos(x))
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Can someone awnser all three questions please.
Answer:
Step-by-step explanation:
87
99
128
Given m=-1/2 and n= -1/3 which is greater
Answer: n is greater than m
Step-by-step explanation:
if m=-1/2 then that means its -.50 and n=-1/3 meaning its -.333(...)
so n is greater (remember its negative so higher numbers are actually lesser in value)
Hope this helped... :)
Can you please help and finish with steps by 8/11/2022 PLEASE !
Answer:
squares: 1, 36, 64, 289, 324cubes: 1, 64, 125, 216, 512Step-by-step explanation:
You want lists of the perfect squares and perfect cubes from the set {1, 36, 64, 98, 125, 216, 289, 324, 480, 512}.
Perfect squaresA "perfect square" is the square of an integer, the value obtained by multiplying the integer by itself.
Squares of numbers 1–10 are ...
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
And from 11–20:
121, 144, 169, 196, 225, 256, 289, 324, 361, 400
The squares on your list are 1, 36, 64, 289, 324.
Perfect cubesA "perfect cube" is the cube of an integer, the value obtained by using the value 3 times as a factor in a product. (n³ = n×n×n)
Cubes of numbers 1–10 are ...
1, 8, 27, 64, 125, 216, 343, 512, 729, 1000
The cubes on your list are 1, 64, 125, 216, 512.
__
Additional comment
Any integer to the 6th power will be both a perfect square and a perfect cube. The integers 1 = 1⁶, 64 = 2⁶, and 729 = 3⁶ are such numbers.
Joel sold her house for $545,450, which was 85% of the amount she paid for it.
Calculate the amount she paid for the property.
Round to the nearest cent
After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answer:
162.4$
Step-by-step explanation:
mark me on brainliest please follow me to
2(x+5)=20 what does x===???????????????????/
Answer:
x = 5
Step-by-step explanation:
2(x+5) =20 Distribute the 2
2(x) + 2(5) = 20
2x + 10 = 20 Subtract 10 from both sides of the equation
2x = 10 Divide both sides by 2
x = 5
Answer:
5
Step-by-step explanation:
2(x + 5) = 20 Divide both sides by 2
x + 5 = 10
x = 10 - 5
x = 5
Write a sentence for 2(3+5n)=an
The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Which sentence represents the algebraic expression?It follows from the task content that the sentence which represents the equation given be determined.
First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.
Also, the expression "an" can be interpreted as the product of n and another number a.
Therefore, the whole equation; 2(3+5n)=an can be interpreted as;
"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
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a) 50 students in a hostel had provisions for 60 days. (i) How long would the provisions last for 1 student? (ii) How long would the provisions last for 40 students?
Answer:0.8
Step-by-step explanation:
0.8 can be used for 1 student and 40. :)
The values are;
i, For 1 student, it would take = 1 1/5 days
ii. For 40 students, 48 days
How to determine the daysFirst, we need to know that proportion is an equation made equal to another.
From the information given, we have that;
50 students in a hostel had provisions for 60 days.
This is represented as;
50 students = 60 days
Then, we get that;
i, If 50 students = 60 days
1 students = x days
cross multiply the values
x = 60/50
x = 1 1/5 days
ii. If 50 students = 60 days
40 students = x days
x = 60(40)/50
divide the values
x = 48 days
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Anthony wants to start making periodic investments in a retirement account. He will make a yearly contribution of $3,000 at the beginning of each year. The account will pay 7.2% interest, compounded monthly. How much will his account be worth after 35 years?
After 35 years, Anthony's account is going to be worth $34193.12
How to solve for the compound interestThe formula for the compound interest is given as
[tex]A = P(1 + r)^t[/tex]
Where we have the principal = 3000
the rate of interest = 7.2%
The period of time = 35 years
We have to input these values in the formula above so that we would have
A = 3000 ( 1 + 0.072)³⁵
A = 3000 x 11.398
= $34193.12
Hence we would have that after the period of 35 years, the account would be worth $34193.12
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Find the value of x.
36
x+3
x=?
Answer:
x = 15
Step-by-step explanation:
A segment joining the midpoints of two sides of a triangle is half the length of the third side , then
x + 3 = [tex]\frac{1}{2}[/tex] × 36 = 18 ( subtract 3 from both sides )
x = 15
The photo added is the question.
By taking some products we will see that the total number of cupcakes ordered is 6 cupcakes.
How many cupcakes are ordered?Here we want to see how many cupcakes this person is ordering. We know that orders 9 halves of a cupcake for the family, plus a quarter of a cupcake for each of the 6 friends.
The total number of cupcakes is given by the order for the family plus the order for the friends.
The order for the familiy is given by the product:
9*(1/2) = 9/2 = 4.5
That is 9 times 1/2 of a cupcake, so for the family the person orders 4.5 cupcakes.
For the friends the person orders 6 times 1/4 of a cupcake, so now we have the product:
6*(1/4) = 6/4 = 3/2 = 1.5
If we add these two numbers we get the total number of cupcakes:
4.5 + 1.5 = 6
The person ordered 6 cupcakes.
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Find the product. Simplify your answer
2x² (4x³+2y¹)
12x³y +6
08x5 +4y6
48x5y6
8x5 +8x²y¹
Answer: The answer is D bc i did the test before hope you have a great day:]
Step-by-step explanation:
8
x
5
−
6
x
4
+
12
x
3
Please help it's due to tomorrow
Answer:
Account A is incorrect the interest that you would earn is $8.60, not $860.00
Step-by-step explanation:
one number is 10 more than another. their product is -25
Answer: resource - trust me bro
Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20
A margin of error tells us:
The margin of error tells you how many percentage points your results differ from the true population value.
What is margin of error?The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.
The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.
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A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
Answer:
Using transformation rules, the transformation can also be stated by option A, that is (x, y) → (–x, –y).
------------------------------------
The first option, of (x, y) → (–x, –y), is a rotation of 180º degrees around the origin, which is the transformation made on the pentagon.
As for the other transformations:
The second option, (x, y) → (–y –x), is a reflection around the line y = -x.
The third option, of (x, y) → (x, –y), is a reflection across the x-axis.
The fourth option, of (x, y) → (–x, y), is a reflection across the y-axis.
Step-by-step explanation:
in 2017, a journal reported on trends in sugar-sweetened beverage (SSB) consumption. A random sample of youths aged 12 to 19 years old were asked to monitor all food and beverages consumed in a 24-hour period. The study was done in 2005 and repeated in 2014. The numbers who consumed a sugary beverage such as soda or fruit juice in a day are shown in the accompanying table
The 95% confidence interval for the distribution of the difference of proportions, using the z-distribution, is given as follows:
(0.11, 0.146).
How to find the confidence interval for the difference of proportions?The first step is finding the proportion and standard error for each sample, as follows:
2005: [tex]n = 3486 + 2248 = 5734, p_1 = \frac{3486}{5734} = 0.608, s_1 = \sqrt{\frac{0.608(0.392)}{5734}} = 0.0064[/tex]2014: [tex]n = 2754 + 2980 = 5734, p_2 = \frac{2754}{5734} = 0.48, s_2 = \sqrt{\frac{0.48(0.52)}{5734}} = 0.0066[/tex]For the distribution of differences, the mean and the standard error are given as follows:
p = 0.608 - 0.48 = 0.128.s = sqrt(0.0064² + 0.0066²) = 0.0092.The z-distribution is used as we are working with proportions, hence the bounds of the interval are given as follows:
p ± zs.
The critical value for a 95% confidence interval with the z-distribution is of z = 1.96.
Hence the lower bound of the interval is:
0.128 - 1.96 x 0.0092 = 0.11.
The upper bound of the interval is:
0.128 + 1.96 x 0.0092 = 0.146.
What is the missing information?
The information regarding each sample is given by the image at the end of the answer, and the problem asks for the 95% confidence interval for the differences.
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There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
In this question, we have been given there are 10 brown, 10 black, 10 green, and 10 gold marbles in bag.
The theoretical probability of pulling a brown marble from the bag would be,
P = 10/40
P = 0.25
P = 25%
A student pulled a marble, recorded the color, and placed the marble back in the bag.
The frequency of each color pulled during the experiment after 40 trials is:
Brown 13
Black 9
Green 7
Gold 11
So, the experimental probability of pulling a brown marble from the bag would be,
P = 13/40
P = 0.325
P = 32.5 %
Therefore, the theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
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Answer: The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Step-by-step explanation: :)
The area of the play area is 286.56 square feet. A border is planned around the perimeter of the play area. How many feet of material are needed for the border?
Answer:
Step-by-step explanation:
The length of material needed for the border is the perimeter of the backyard play area
How to calculate the length of material needed
The area of the play area is given as:
The area of a trapezoid is calculated using:
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
Using the assumed values, the length of material needed for the border is 74.4 feet
17. Copy each statement. Insert +, -, x, or ÷ symbols to make each statement
true.
a. 17 ? 2? 3 ? 8 = 3
b. 33 ? 3? 2 ? 5 = 1
Answer:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
Step-by-step explanation:
a. 17 - 2 × 3 - 8 = 3
b. 33 ÷ 3 - 2 × 5 = 1
Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False
Answer:
1). True
2). x = 16.4 m^2
3). A = 24, h = 4
4). A = 18.39
5). 162
Step-by-step explanation:
I took this quiz on K12 and got everything correct! Brainliest welcome! :)
the width of a desk is 3 inches lees than its length write an expression to represent the width of the desk
The expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
According to the question,
We have the following information:
The width of a desk is 3 inches less than its length.
Now, let's take the length of the desk to be x inches.
Now, we will convert the given word sentence using this variable into an algebraic expression.
Note that the words less than means that the number has to be subtracted from the length of the desk.
So, we have the following expression:
Width of the desk = (x-3) inches
Hence, the expression to represent the width of the desk is (x-3) inches where x is the length of the desk.
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Describe in words where the square root of 50 minus 10 would be plotted on a number line.
Between −3 and −2, but closer to −3
Between −3 and −2, but closer to −2
Between 6 and 7, but closer to 6
Between 6 and 7, but closer to 7
The required value lies Between 6 and 7, but closer to 6. Option C is correct.
Given that,
The square root of 50 minus 10 would be plotted on a number line.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
According to the question,
= √[50-10]
= √40
= 6.32
Which is closer to 6.
Thus, the required value lies Between 6 and 7, but closer to 6. Option C is correct.
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