Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x - 6 = 10
Subtract 10 from each side
x^2 +6x -16 =0
Factor what 2 numbers multiply to -16 and add to 6
8*-2 = -16
8-2 = 6
(x+8) (x-2) =0
Using the zero product property
x+8 =0 x-2 =0
x= -8 x=2
explain the difference between an indefinite integral and a definite integral.
Answer:
A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).
Step-by-step explanation:
What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? What are the dimensions of this rectangular prism?
Answer: 64=s3
Step-by-step explanation: V=s3
64=s3
find the cubic root of each side
3√ 64=s4=s
so the side of the cube is 4 cu in.
The surface area of a cube is
SA=nA
where SA
is surface area, n
is the number of faces, and A
is the area of one face.
Te area of one face (A) is s2 so
Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90
Answer:
$60
Step-by-step explanation:
sorry if I'm wrong ^-^
Answer:
its 46
Step-by-step explanation:
(5 - i)(5 + I)=
Answer choices:
26
25i
24
Answer:
26
Step-by-step explanation:
We can use difference of squares:
(5 - i)(5 + i) = 5^2 - i^2
i^2 = -1, so we have 25 - (-1) = 25 + 1 = 26
Answer:
26
Step-by-step explanation:
−4x−6=−5y+2 Write a formula for g(x) in terms of x
Answer:
4/5x + 8/5 = g(x)
Step-by-step explanation:
−4x−6=−5y+2
Solve for y
Subtract 2 from each side
−4x−6-2=−5y+2-2
-4x -8 = -5y
Divide each side by -5
-4x/-5 -8/-5 = -5y/-5
4/5x + 8/5 = y
Replace y with g(x)
4/5x + 8/5 = g(x)
need help ASAP, find the vertices of:
(x-2)^2/16-(y-1)^2/4=1
show work pls!!
Answer:
Step-by-step explanation:
(x - 2)²/16 - (y - 1)²/4 = 1
(x - 2)² - 4(y - 1)² = 16
x² + 4 - 4x - 4(y² + 1 - 2y) = 16
x² + 4 - 4x - 4y² - 4 + 8y = 16
x² - 4x + 8y - 4y² = 16
x² - 4x = 16 , -4y² + 8y = 16
x(x - 4) = 16 , 4y(-y + 2) = 16
x = 16, x = 20, y = 4, y = -14
A cylindrical water tank has a radius of 14.5 feet and a height of 7.5 feet. Which value is the best estimate of the volume of the water tank? Round your answer to the nearest tenth of a foot.
Answer:
C= 2π14.5
C= 91.1061869
91.1061869 X 7.5 = 683.296402
A of a circle = πr squared
as the are two circles to a cylinder 2πr squared
2 X π X 14.5 = 1321.03971
add together
1321.03971 + 683.296402 = 2004.33611 ft squared
The probability of obtaining a head when a certain coin is flipped is about 0.65 Whi ch of the following is closest to the probability that heads would be obtained 15 or fewer times when this coin is flipped 25 times? A. 0.14 B. 0.37 0.39 0.60 0.65
Answer:
B. 0.37
Step-by-step explanation:
(VOID)
Perform the operation.
(−3x^2+9x−9)+(−9x^2+9x+3)
I will give brainleist
Answer:
nose a qué se refiere con eso
i need the answers plzz
Answer:
I dont know but when u got the answer tell me
Answer:
20 small cups and 10 large cups
Step-by-step explanation:
It's just a case of trial and error for me, 40 small cups is 320, which doesnt work. 30 and 15? 30*8=240 15*16=240 nop. 20 and 10? 20*8=160 10*16=160 160+160=320 yup! So 20 small cups and 10 large cups
express in two line copy(-2)×(+3)
(with photo)
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
Factor. Step by step.
Answer:
(3x-2)^2
Step-by-step explanation:
3^2x^2-2*3x*2+3^2
(3x)^2 -2*3x*2+2^2
And youll get (3x-2)^2
2. for each of the following variables, tell me level of measurement and what statistic you would use to quantify central tendency and variability. a. body weight in pounds b. number of cigarettes smoked in a day c. ethnicity d. birth order (i.e., first born, second born, etc.)
In the following question, among the conditions given, the option- a,b and c stand the same ie- The level of measurement is a ratio. The statistic used for the central tendency is the mean or median, whereas d. birth, "is ordinal."
1. Body weight in pounds: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.
2. Number of cigarettes smoked in a day: The level of measurement is a ratio. The statistic used for the central tendency is mean or median, while for variability, standard deviation or variance can be used.
3. Ethnicity: The level of measurement is nominal. The statistic used for the central tendency is the mode, while for variability, there is no appropriate statistic.
4. Birth order: The level of measurement is ordinal. The statistic used for the central tendency is median or mode, while for variability, range or interquartile range can be used.
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PLZZ SOMEONE DO THIS AND ILL LOVE U FOREVER, ILL GIVE BRAINLIEST
Answer:
The order of the clocks listed below
Step-by-step explanation:
1) 7:01
2) 12:12
3) 4:29
4) 1:11
5) 3:46
6) 6:33
7) 10:15
8) 6:59
9) 2:23
does anyone know the answer to this?
Answer:
18 is the answer of your question
Answer:
Your answer is D, 18.
Step-by-step explanation:
EP is half of EC so all we would have to do is multiply EP by 2 (9*2)
The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8
Answer:
i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.
the answer is then "A"
Step-by-step explanation:
The triangle whose sides are √13, 6, and 7, is a right triangle.
What is the right triangle?A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.
Pythagorean Theorem :The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.
Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,
r² = p² + q².
How to solve this problem?We just check which triangle's sides follow the above theorem.
Option A (Triangle with sides √13, 6, and 7 ):
13 + 36 = 49
i.e. (√13)² + 6² = 7²
This triangle's sides follow the Pythagorean Theorem.
So, the triangle with sides √13, 6, and 7 is a right triangle.
Option B (Triangle with sides 7, 8, and 13 ):
49 + 64 ≠ 169
i.e. 7² + 8² ≠ 13²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 7, 8, and 13 is not a right triangle.
Option C (Triangle with sides 10, 11, and 12 ):
100 + 121 ≠ 144
i.e. 10² + 11² ≠ 12²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 10, 11, and 12 is not a right triangle.
Option D (Triangle with sides √10, 9, and 8 ):
10 + 64 ≠ 81
i.e. (√10)² + 8² ≠ 9²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides √10, 9, and 8 is not a right triangle.
Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.
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which of the following statements is true? a.) to imply causation, the correlation must be -1. b.) a high correlation can indicate a relationship but cannot prove causation. c.) a high correlation indicates that explanatory variable is a direct cause of the response variable. d.) having a low correlation is sufficient enough to imply causation.
The statement that is true is:
b.) A high correlation can indicate a relationship but cannot prove causation.
Correlation measures the strength and direction of the relationship between two variables, but it does not necessarily imply causation. A high correlation means that there is a strong linear relationship between the two variables, but it does not indicate whether one variable causes the other. There can be other factors that influence the relationship. Therefore, it is important to use other methods, such as experiments or observational studies, to determine causation. Correlation is useful for identifying associations between variables, but it cannot be used as evidence of a causal relationship.
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HELP ASAP!!!
The line (y-1)=(2/3)(x+1) contains point (a,-3).
What is the value of a? Show
your work.
Answer:
-7
Step-by-step explanation:
The line (y-1)=(2/3)(x+1) contains point (a,-3)
=> (-3-1) = (⅔)(a+1)
-4 = (⅔)(a+1(
(a+1)= -4 ÷ ⅔
a + 1 = -4 × 3/2
a+ 1 = -6
a = -6-1
a = -7
The value of 'a' will be;
⇒ a = - 7.
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of line is,
⇒ (y - 1) = (2/3) (x + 1)
And, The point on the line = (a, - 3)
Now,
Since, The point on the line = (a, - 3)
Hence, It satisfy the equation of line.
Substitute x = a and y = - 3, we get;
⇒ (y - 1) = (2/3) (x + 1)
⇒ (- 3 - 1) = (2/3) (a + 1)
⇒ - 4 × 3 = 2a + 2
⇒ - 12 - 2 = 2a
⇒ 2a = - 14
⇒ a = - 7
Thus, The value of a = - 7
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction barts).
In the given diagram, ARST is a right triangle with MPL ST. Segment RT is divided into 5 equal parts.
R(4.3,7.4)
T(-8.5,-2.2)
M
S(4.3,-2.2)
The coordinates of point O are (
), and the coordinates of point M are (
The coordinates of P are (-0.82, 3.56).
The coordinates of M are (-2.1, -2.2).
What is a midpoint of a line segment?The midpoint of a line segment is written as,
x = (a + c)/2
y = (b + d) / 2
Where (x, y) are the coordinates of the midpoint and (a, b) and (c, d) are the two endpoints.
We have,
R = (4.3, 7.4)
T= (-8.5, -2.2)
S = (4.3, -2.2)
Segment RT is divided into 5 equal parts.
So,
TP : PR = 3 : 2 = m : n
The coordinates of P.
T= (-8.5, -2.2) = (a, b)
R = (4.3, 7.4) = (c, d)
x = \(\frac{mc + na}{m + n}\)
x = \(\frac{3\times4.3 + 2\times-8.50}{5}\)
x = \(\frac{12.9 - 17}{5}\)
x = \(\frac{-4.1}{5}\)
x = -0.82
And,
y = \(\frac{md + nb}{m + n}\)
y = \(\frac{3\times7.4 + 2\times-2.2}{5}\)
y = \(\frac{22.2 - 4.4}{5}\)
y = 3.56
The coordinates of P are (-0.82, 3.56).
Now,
T= (-8.5, -2.2)
S = (4.3, -2.2)
M is the midpoint of TS.
So,
M = (x, y)
x = \(\frac{(4.3 - 8.5)}{2}\) = \(\frac{x-4.2}{2}\) = -2.1
y = \(\frac{-2.2 - 2.2}{2}\) = \(\frac{-4.4}{2}\) = -2.2
M = (x, y) = (-2.1, -2.2)
Thus,
The coordinates of P = (-0.82, 3.56).
The coordinates of M = (-2.1, -2.2).
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Answer:
The answer is (-3.38,1.64),(-0.82,-2.2)
Step-by-step explanation:
I just got it right on the test
On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?
Answer:
Number of children = 386
Number of adults = 287
Step-by-step explanation:
Let
x = number of children
y = number of adults
x + y = 673 (1)
1.75x + 2y = 1249.50 (2)
From (1)
x = 673 - y
Substitute x = 673 - y into (2)
1.75x + 2y = 1249.50
1.75(673 - y) + 2y = 1249.50
1177.75 - 1.75y + 2y = 1249.50
- 1.75y + 2y = 1249.50 - 1177.75
0.25y = 71.75
y = 71.75/0.25
y = 287
Substitute y = 287 into (1)
x + y = 673
x + 287 = 673
x = 673 - 287
x = 386
Number of children = 386
Number of adults = 287
Which graph represents a function?
Answer:
D, the horizontal line is a function
Step-by-step explanation:
To pass the vertical line test, a vertical line cannot go through the function more than once
A is a vertical line so it will fail the vertical line test
B will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
C will fail the vertical line test at many points. One example is at
x =0 where you can see it will intersect at two points
D is a horizontal line. This will pass the vertical line test
in one city, the probability that a person will pass his or her driving test on the first attempt is 0.69 . if 9 people are selected at random from among those taking their driving test for the first time,what is the probability that at most 7 are passing the test? round your answer to 3 decimal places.
The probability that at most 7 are passing the test is = 0.821
According to the question given,
The probability of passing the driving test on the first attempt is = 0.69
Persons selected at random = 9
To find - Probability at most 7 are passing.
As we can see that choices are given to the persons that either they will pass the driving test or they will fail the same so in order to solve this question we need to apply Binomial Distribution,
According to the binomial distribution, the probability of two outcomes.
P( X = x ) = \(C_{n,x}.p^{x}. ( 1-p)^{n-x}\)
\(C_{n} ,x\) = the number of different combinations of x objects from n elements.
p = probability of happening.
Probability of passing the driving test = 0.69
p = 0.69
People selected at random = 9
n = 9
The probability that at most 7 are passing the driving test,
P( X \(\leq\) 7 ) = P(X = 1) + P(X = 2) + P(X = 3) + P ( X = 4) + P(X= 5) + P(X = 6) + P(X = 7)
P(X = 1) = \(C_{9,1}.(0.69)^{1}. (31)^{8}\) = 0.00053
P(X = 2) = \(C_{9,2}.(0.69)^{2}. (31)^{7}\) = 0.00472
Using the same formula calculating the values of others,
P(X = 3) = 0.02449
P(X = 4) = 0.08177
P(X = 5) = 0.1820
P(X = 6) = 0.27006
P(X = 7) = 0.25761
P( X \(\leq\) 7 ) = 0.00053 + 0.00472 + 0.02449 + 0.08177 + 0.1820 + 0.27006 + 0.25761
P( X \(\leq\) 7 ) = 0.82118
P( X \(\leq\) 7 ) = 0.821
Therefore, the probability that at most 7 are passing the test is = 0.821
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If demand deposits are moved into money market deposits what
will happen to M1? What will happen to M2? (↑, ↓ or NC)?
If demand deposits are moved into money market deposits, M1: ↓ (Decrease), M2: NC (No Change)
When demand deposits are moved into money market deposits, the impact on the monetary aggregates M1 and M2 can be described as follows:
M1 (Money Supply Aggregate 1):
- ↓ (Decrease)
M2 (Money Supply Aggregate 2):
- NC (No Change)
Moving demand deposits into money market deposits results in a decrease in M1. This is because demand deposits are included in M1 as they are considered readily accessible for making transactions. However, money market deposits are not included in M1 as they typically have more restrictions on withdrawals and are less liquid.
On the other hand, the shift from demand deposits to money market deposits does not affect M2. M2 includes a broader range of financial assets, such as savings deposits, time deposits, and money market mutual funds. Money market deposits are already part of M2, so the overall composition of M2 remains unchanged.
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ASAP PLEASE HELP IF RIGHT ANSWER WILL GIVE BRAINLIEST, 10 POINTS, AND 5 STAR OVERALL!!!! IF WRONG ANSWER OR INVALID WILL REPORT, PLEASE, PLEASE, PLEASE!!
Given f(x)=6(1−x), what is the value of f(8)?
f(8)=
Answer:
\(f(8) = - 42\)
Step-by-step explanation:
Hi there!
You have to substitute x = 8 into:
\(f(x) = 6(1 - x)\)
It then becomes:
\(f(8) = 6(1 - 8)\)
Calculate the above
\(f(8) = - 42\)
I hope this helpsWhat values of x satisfy this inequality? 7 − 2x ≤ 0
∈Answer:
x ≥ 7/2
Step-by-step explanation:
-2x + 7 ≤ 0
(-2x + 7) + (-7) ≤ -7
-2x + 7 - 7 ≤ -7
-2x ≤ -7
2x/2 ≥ 7/2
x ≥ 7/2
x ∈ [7/2,∞)
is there sufficient evidence to suggest that the relaxation exercise slowed the brain waves? assume the population is normally distributed. select the [p-value, decision to reject (rh0) or failure to reject (frh0)].
Based on the given information, it is not possible to determine the p-value, decision to reject (rh0) or failure to reject (frh0) without additional data or context.
To assess whether the relaxation exercise slowed brain waves, a statistical analysis should be conducted on a sample from the population.
The analysis would involve measuring brain waves before and after the exercise and comparing the results using appropriate statistical tests such as a t-test or ANOVA. The p-value would indicate the probability of observing the data if there was no effect, and the decision to reject or fail to reject the null hypothesis would depend on the predetermined significance level.
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The slope of the line passing through the points (7, 5) and (21, 15) is
.
Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point
(21, 5)
.
Step-by-step explanation:
a) The slope formula is given by
m = (y2 - y1)/(x2 - x1)
Let P1(7, 5) and P2(21, 15)
m = (15 - 5)/(21 -7)
= 10/14
= 5/7
b) Let's see if the slope is only a third of the one found in part (a) or m = 5/21. Let P1(0, 0) and P2(21, 5).
m = (5 -0)/(21 - 0)
= 5/21
Indeed, the slope is only a third of part (a), as we predicted.
Answer:
the answers are 7/5 and (21,5)
Step-by-step explanation:
sorry this is late by 2 months
Find the value of x in
2(x+1)=10
Answer:
4
Step-by-step explanation:
2(x+1)=10
2x + 2 = 10
2x =10-2
x= 8÷2
x= 4
Remember that
change of side = change of sign!!!
how to solve inequalities with fractions and variables in denominator
To solve inequalities with fractions and variables in the denominator, multiply both sides of the inequality by the least common multiple (LCM) of the denominators and solve the resulting equation.
To solve inequalities with fractions and variables in the denominator, follow these steps:
1. Clear the denominator: Multiply both sides of the inequality by the least common multiple (LCM) of the denominators to eliminate the fractions. This step helps in simplifying the inequality.
2. Simplify and combine terms: Distribute and simplify any terms resulting from multiplying through by the LCM. Combine like terms if necessary.
3. Solve as a regular inequality: Treat the resulting inequality as a regular inequality without fractions. Use algebraic techniques to isolate the variable on one side of the inequality sign.
4. Determine the direction of the inequality: Determine the direction of the inequality by considering the signs of any coefficients or variables in the simplified inequality. If the coefficient of the variable is positive, the direction of the inequality remains the same. If the coefficient is negative, the direction of the inequality is reversed.
5. Express the solution: Write the solution as an inequality or as an interval, depending on the context of the problem.
It's important to note that when multiplying both sides of an inequality by a negative number, the direction of the inequality needs to be reversed.
Example: Solve the inequality (3/x) - (2/5) ≥ 1
1. Clear the denominator: Multiply both sides by 5x, which is the LCM of the denominators:
5x * [(3/x) - (2/5)] ≥ 5x * 1
Simplifying, we get:
15 - (2x) ≥ 5x
2. Simplify and combine terms:
15 - 2x ≥ 5x
3. Solve as a regular inequality:
Add 2x to both sides to isolate the variable:
15 ≥ 7x
4. Determine the direction of the inequality:
Since the coefficient of x is positive (7), the direction remains the same.
5. Express the solution:
Divide both sides by 7 to solve for x:
15/7 ≥ x
The solution is x ≤ 15/7.
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Last weekend the Lead-X Basketball team ordered fourteen spicy chicken sandwiches
and six chicken bites for fifty-five dollars and ninety cents. This weekend, the team
ordered seven spicy chicken sandwiches and five chicken bites for thirty-three dollars
and nineteen cents.