Answer:
x = 12
Step-by-step explanation:
Given
5(x - 6) = 2(x + 3) ← distribute parenthesis on both sides
5x - 30 = 2x + 6 ( subtract 2x from both sides )
3x - 30 = 6 ( add 30 to both sides )
3x = 36 ( divide both sides by 3 )
x = 12
what is -23 times -45? And would that be positive or negative?
Answer:
1035, and it would be positive. A negative times a negative is a positive
Step-by-step explanation:
How can you distinguish if the solution is one value, all real numbers, or no solutions?
Answer:
If x can only have one answer, then the solution is one value. If x can be all real numbers, then the solution is all real numbers. And if x doesn't have an answer then it has no solution.
Step-by-step explanation:
For example:
One value: 7 + x= 10 => x= 3
All real numbers: 0x=0 => x can be all real numbers
No solutions: 7x=6x => no solutions
Based on a mathematical equation, and the content of the question, there are various ways to determine the outcome of the solution, this includes knowing the type of equation and the connection between equation components.
What is a mathematical solution?The mathematical solution is a term that ks used to describe the assignment of values to the unknown variables that make the equality in the equation true.
Generally, the mathematical solution is a value or a collection of values such that, when substituted for the unknowns, the equation becomes equal.
Hence, to determine if an equation has one solution or no solutions, consider the following factors.
Type of equation, such as Linear equations, Quadratic equations, Absolute value equations, Exponential and logarithmic equationRelationship between equation components, such as Operations performed on both sides, Inverse operations, Contradictions, or identities.Hence, in this case, it is concluded that various factors including graphing the equation or using numerical methods can help visualize or approximate the mathematical solution set.
Learn more about mathematical solutions here: https://brainly.com/question/30285644
#SPJ2
2z - 5y if y = -2 and z = 3
Answer:
16
Step-by-step explanation:
Sub values into expression
2(3) - 5(-2)
6 - (-10)
6 + 10
16
How do I have to interpret the 2 in the next log?
Is it the same as saying (logx)^2?
I need to calculate the derivative of this function but it will be difficult without even knowing what the 2 means lol.
Thnx in advance
[tex]log^2 x[/tex]
It means you have to multiply log(x) by itself.
[tex]\frac{d}{dx}(log(x))^2 \\ \frac{d}{d(log(x))}(log(x))^{2} \times \frac{d}{dx}(log(x)) \\ 2log(x) \times \frac{1}{ln(10)x} \\ \frac{2log(x)}{ln(10)x}[/tex]
Given: Lines p and q are parallel and r is a transversal.
Prove: ∠2 ≅ ∠7
Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7.
A 2-column table with 4 rows. Column 1 is labeled statements with the entries p is parallel to q and r is a transversal, A, B, angle 2 is congruent to angle 7. Column 2 is labeled reasons with the entries given, vertical angles are congruent, correlated angle theorem, transitive property.
Which statements could complete the proof?
Answer:
The statement A is Angle 2 is congruent to angle 3
The statement is Angle 3 is congruent to angle 7
Step-by-step explanation:
The given information are;
The given parallel lines = p and q
The given transversal = r
The angles from the top left at the intersection of p and r = 1, 2, 4, 3
The angles from the top left at the intersection of q and r = 5, 6, 8, 7
The 2-column table is presented as follows;
Statement [tex]{}[/tex] Reasons
p is parallel to q and r is a transversal [tex]{}[/tex] Given
A [tex]{}[/tex] Vertical angles are congruent
B [tex]{}[/tex] Correlated angle theorem
Angle 2 is congruent to angle 7 [tex]{}[/tex] Transitive property
We have the orientation of the angles given as follows;
1, 2
3, 4
5, 6
7, 8
Therefore, we have;
A = Angle 2 is congruent to angle 3 [tex]{}[/tex] Vertical angles are congruent
B = Angle 3 is congruent to angle 7 [tex]{}[/tex] Correlated angle theorem
To give;
Statement [tex]{}[/tex] Reasons
p is parallel to q and r is a transversal [tex]{}[/tex] Given
Angle 2 is congruent to angle 3 [tex]{}[/tex] Vertical angles are congruent
Angle 3 is congruent to angle 7 [tex]{}[/tex] Correlated angle theorem
Angle 2 is congruent to angle 7 [tex]{}[/tex] Transitive property
Answer:
A: Angle 2 is congruent to angle 3
B: Angle 3 is congruent to angle 7
Step-by-step explanation: I just took the quiz :)))
A is the center of one circle, and B is the
center of the other. Explain how we know triangle ABC
is equilateral.
Answer:
a
Step-by-step explanation:
because it goes to one side to another
What’s the difference between 76 and -18
Answer:
The difference between 76 and -18 is 58.
Answer:
76 is a positive number and greater than -18, and you can count this number on a chart. -18 is a negative and you cannot count this on a chart. 76 is a whole number and -18 is a integer. 76 is an integer as well
Step-by-step explanation:
What is the value of x?
x= ??
Answer:
X=50
Step-by-step explanation:
Because the top and bottom angles are formed by 2 intersecting lines, we know that the angles are equivalent to each other via the vertical angle theorem. This allows us to set the following equation:
[2(x+10)]=(3x-30)
You would then distribute the 2 on the left side to get
2x+20=3x-30
Then, simply combine like terms.
20+30=3x-2x
Simplify.
50=x
The answer is therefore 50.
HELP ME PLEASE!!!!! I need help now I only have 2 min left!!!!
Answer:
The answer is 1
Step-by-step explanation:
Find the median
X 20 25 29 33 38 42 43
F 6 20 24 28 15 4 2 1
Answer:
The median for X is "33"
The median for F is "10.5"
Step-by-step explanation:
Answer:
33 and 10.5
Step-by-step explanation:
The median is the middle number in the data set arranged in ascending order.
If there is no exact middle value then it is the average of the 2 numbers either side of the middle.
X 20 25 29 33 38 42 43
↑ middle number
Thus the median = 33
Arrange set F in ascending order.
F 1 2 4 6 15 20 24 28
↑ middle between 6 and 15
Thus the median = [tex]\frac{6+15}{2}[/tex] = [tex]\frac{21}{2}[/tex] = 10.5
Will mark as brainliest
answer ASAP
Select all that apply. Which of the following phrases mean the same thing as "four above zero"?
negative four
four more than zero
four greater than zero
the opposite of positive four
four less than zero
positive four
Answer:
Step-by-step explanation:
Four more than zero, and Positive four because four above zero is saying that its a positive number. (positive numbers are always greater than zero) so it would be positive four, and Four more than zero.
Harris Interactive® conducted a poll of American adults in August of 2011 to study the use of online medical information. Of the 1,019 randomly chosen adults, 60% had used the Internet within the past month to obtain medical information. Use the results of this survey to create an approximate 95% confidence interval estimate for the percentage of all American adults who have used the Internet to obtain medical information in the past month. Calculate the 90% confidence interval. Which confidence interval has the smaller margin of error? Why does this make sense? Which confidence interval is more likely to contain the true percentage of all American adults who have used the Internet to obtain medical information in the past month? Why do you think so?
Answer:
The 95% confidence interval [tex]0.57 < p <0.63[/tex]
The 90% confidence interval [tex]0.5748 < p <0.6252[/tex]
The 90% confidence interval has the smaller margin of error.
This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band ) than the 95% confidence interval
95% confidence interval is more likely to contain the true percentage
This is because 95% confidence interval signify's a higher confidence of containing the true percentage than the 90% confidence interval
Step-by-step explanation:
From the question we are told that
The sample size is n = 1019
The sample proportion is [tex]\r p = 0.60[/tex]
Given from the question that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }[/tex]
=> [tex]E = 0.030[/tex]
Generally the 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p +E[/tex]
[tex]0.60 - 0.030 < p <0.60 + 0.030[/tex]
[tex]0.57 < p <0.63[/tex]
This interval means that there is 95% chance that the true percentage will be in this interval
Given from the question that the confidence level is 90% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 90)\%[/tex]
[tex]\alpha = 0.10[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }[/tex]
=> [tex]E = 0.0252[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p +E[/tex]
[tex]0.60 - 0.0252 < p <0.60 + 0.0252[/tex]
[tex]0.5748 < p <0.6252[/tex]
This interval means that there is 90% chance that the true percentage will be in this interval
From the calculation the 90% confidence interval has the smaller margin of error.
This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band ) than the 95% confidence interval
Generally the confidence interval that is more likely to contain the true percentage of all American adults who have used the Internet to obtain medical information in the past month is the 95% confidence interval ,
This is because it signify's a higher chance of containing the true percentage than the 90% confidence
Please help! Identify each decimal number as either rational or irrational.
1.485 :
0.187345911... :
333.051422218... :
0.2268715 :
1.24 :
Answer:
A Rational number is a number that can be written as a ratio in fraction form.
An Irrational number is a number that, when in decimal form, does not terminate or repeat.
Step-by-step explanation:
1.485 can be written as 1 485/1000 - it is rational
0.187345911... continues on and does not repeat - it is irrational
333.051422218... continues on and does not repeat - it is irrational
0.2268715 can be written as 2268715/10000000 - it is rational
1.24 can be written as 1 24/100 - it is rational
Answer:
The othe person is correct, I used the same answer and it was correct!
Step-by-step explanation:
HELP ME THIS IS WROTH 20 PIONTS .!
Answer:
the correct answer is 0.032
Step-by-step explanation:
Answer:
she Wrong
Step-by-step explanation:
Its 0.032
A trail designer is planning two trails that connect campsites A and B to a point on the river, line L. She
wants the total length of the trails to be as short as possible. At what point should the trails meet the
river? Use a problem-solving model to design the trails and check your answer for reasonableness.
Answer: (-1,1)
Step-by-step explanation:
What is the center of the circle x² + y2 - 16 = 0?
Answer:
(0,0)
Step-by-step explanation:
x^2+y^2=4^2
center: (0,0)
radius=4
HELP IM DESPITE!!!!!!PLEASEEEEE
Answer:
1. You should put "=".
2. <
3. >
4. >
5. =
Step-by-step explanation:
If y=2.5 when c=5 find y when x=20
um if you meant y=2.5 when x=5 then the answer would be y=10 when x=20
You don't need to explain or label i just need the numerical number please!
Answer:
162
Step-by-step explanation:
5x4.5x7.2
find all missing variables and the measures of each angle
Answer:
X is 67 and the measure of the angle is 52 and Y is 32 and the measure of the angle is 128 degrees
Step-by-step explanation:
Hurry, I'll mark brainliest!!! Write the sentence as an equation. The product of q and 321 is the same as z
Answer: 321q = z
This is the same as z = 321q
The term "product" means "result of multiplying two or more values"
For example, the product of 2 and 3 is 2*3 = 6
Writing 321q is the same as 321*q, but we often leave out the multiplication sign. You could say q*321, but convention usually has the number come first then the variable second. The 321 is the coefficient.
CREATE AN EXPRESSION & SOLVE.
Kiera thinks of a number.
She subtracted 4 from it.
Then she multiplied that
answer by 3. She got a final
answer of 24. What was her
starting number?
Answer:
24/3-4
Answer is 12
Step-by-step explanation:
To find the answer, you have to work backwards. You also have to use PEMDAS. Since she multiplied her answer to get 24, you have to work backwards and divide by 3 first. You will get the number 8 after that because 24/3 is 8. Since she also subtracted 4, you have to work backwards and add 4. That gives you an original number of 12.
Answer:
12
Step-by-step explanation:
explanation: if you go backwards you divide 24 by 3 getting 8, then you add 4 to that and then you get 12.
PLEASE HELP ASAP!!!! SUPER URGENT
Answer:
y = 2(x + 3)(x + 1)
Step-by-step explanation:
Use the formula y = a(x-b)(x-c)
b and c are the x-intercepts
The x-intercepts in this function are -3 and -1
y = a(x+3)(x+1)
substitute the point (-2, -1)
-2 = a(-2 + 3)(-2 + 1)
-2 = a(1)(-1)
-2 = -a
a = 2
y = 2(x + 3)(x + 1)
Give a counterexample for the following
statement.
If n is an integer, then n? >n
Colontano
Answers: the answer is 1
Step-by-step explanation: 2+2=4
Please help me ASAP easy problem giving brainlist!!
Answer:
A and C
Step-by-step explanation:
you will see a double sign inequality when your circle on the number line is shaded in. aka a closed circle
The difference of Katie's age and
negative two is fourteen. How old is
Katie?
Answer:
12?
¯\_(ツ)_/¯
Step-by-step explanation:
Answer:
16, I think
Step-by-step explanation:
Simplify y⁵ x y
or y⁵ times y
Answer:
y^5 times y = y^6
Step-by-step explanation:
When you are multiplying numbers with the same base, you must add the exponents. The base just stays the same.
John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow both boys are planning to spend 3 hours biking. How much longer will be the distance John will cover tomorrow compared to Brian’s?
Answer:
6 milesStep-by-step explanation:
Given
John's speed = 10 mphBrian's speed = 8 mphTime 3 hoursSolution
The difference in distance covered:
3*(10 - 8) = 6 milesAnswer:
6 miles longer
Step-by-step explanation:
2.
Problem 2 Statement
At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all Here is a tape diagram
representing this ratio.
number of cats
number of dogs
a.
What is the value of each small rectangle?
How many dogs are at the kennel?
b.
C.
How many cats are at the kennel?
Step-by-step explanation:
For these type of problems, add the ratio numbers together - in this case 4+5. Then do the total number (27) divided by those two ratio numbers added.
Hope this helps.
The temperature on Monday night was 34 degrees below zero. It rose 7 degrees at sunrise. By noon is rose 17 more degrees. At sunset if fell 4 degrees. What was the temperature Tuesday night?
Answer:
-14°
Step-by-step explanation:
So we start at -34°. It rose 7°, so the temperature becomes -27°. It rose again by 17° so now it's -10°. It fell by 4° so by Tuesday night, the temperature is -14°
