two consecutive integers are x and x + 1, therefore
\(\begin{gathered} x+x+1=-139 \\ 2x+1=-139 \\ 2x+1-1=-139-1 \\ 2x=-140 \\ \frac{2x}{2}=-\frac{140}{2} \\ x=-70 \end{gathered}\)the
-70
-70 + 1 = -69
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand B. Of all these soft drink consumers, 20% prefer Brand A and are female, and 40% prefer Brand B and are female. What is the probability that a randomly selected consumer is female, given that the person prefers Brand A? A. 0.18 B. 0.21 C. 0.34 D. 0.67
Answer:
The answer to this question should be D. 0.67
Hope this helped.
Let V be set of all ordered triples of real numbers (x, y, z) with the operations defined as below:
(x, y, z) ⊕ (x′, y′, z′) = (x′, y + y′, z + z′), c ⊙ (x, y, z) = (cx, cy, cz) Find if V is a vector space with the given operations ⊕, ⊙
Using functions we can see that V is not a vector.
What are functions?A function is a method or relation that connects each element of a non-empty set A, along with at least one member of a second non-empty set B, to an additional element of the first non-empty set A.
Mathematics uses the terms "domain" and "co-domain" to describe a function f between two sets, A and B.
F = (a,b)| is true for all values of a and b.
According to the question,
It's important to keep in mind that a set V with the operations addition and scalar product is a vector space if the following criteria hold true for every u, v, and wV as well as for all scalars c and d:
1. u+v∈V
2. u+v=v+u
3. (u+v)+w=u+(v+w).
4. Exist 0∈V such that u+0=u
5. For each u∈V exist −u∈V such that u+(−u)=0.
6. if c is an scalar and u∈V, then cu∈V
7. c(u+v)=cu+cv
8. (c+d)u=cu+du
9. c(du)=(cd)u
10. 1u=u
After checking the properties of all the operations we find that operation 10 does not satisfy here.
then V is not a vector space with the addition as in R³ and the scalar product a(x,y,z)=(2ax, 2ay, 2az).
To know more about functions, visit:
https://brainly.com/question/30721594
#SPJ1
Solve the following equation in the interval [0, 2pi ].
Note: Give the answer as a multiple of . Do not use decimal numbers. The answer should be a fraction or an integer. Note that pi is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is π/2 you should enter 1/2. If there is more than
one answer enter them separated by commas.
|tan(t)=√(3)
The solution of the trigonometric equation in the interval [0, 2π] is given as follows:
t = π/3, 2π/3, 4π/3, 5π/3.
How to solve the trigonometric equation?The trigonometric equation in this problem is defined as follows:
|tan(t)| = √(3).
In the first quadrant, the angle that has a tangent of square root of 3 is the angle of 60º, hence the solution of the first quadrant is given as follows:
t = π/3.
In the second quadrant, the angle equivalent to π/3 is given as follows:
π - π/3 = 3π/3 - π/3 = 2π/3.
(meaning that it's tangent also has an absolute value of square root of 3).
In the third quadrant, the angle equivalent to π/3 is given as follows:
π + π/3 = 3π/3 + π/3 = 4π/3.
Finally, in the fourth quadrant, the angle equivalent to π/3 is given as follows:
2π - π/3 = 6π/3 - π/3 = 5π/3.
More can be learned about equivalent angles at https://brainly.com/question/25927269
#SPJ1
. Megan is standing 300ft from the Eiffel Tower. The Eiffel Tower is 900 ft tall.
What is Megan's angle of elevation if she looks at the top of the tower?
9514 1404 393
Answer:
about 71.6°
Step-by-step explanation:
The relevant trig function is ...
Tan = Opposite/Adjacent
Here, the "opposite" side of the right triangle is the height of the tower. The "adjacent" side is the distance to the tower. Then if the angle is x, we have ...
tan(x) = 900/300 = 3
x = arctan(3) ≈ 71.6°
Megan's angle of elevation is about 71.6°.
Answer:
Solution :-Angle required = Height of Eiffel Tower/Megan standing place × arctan
=> (900/300) × arctan
=> 3 × arctan
=> 3arctan
=> 71.6⁰
Hence,
Angle = 71.6⁰
\( \\ \)
What is 163.28 + 75.459 =
The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739
How to solve the expression?The expression is given as:
163.28 + 75.459
The expression is best solved using a calculator.
However, in the absence of a calculator, the following steps can be applied.
Expand each term
163.28 + 75.459 = 163 + 0.28 + 75 + 0.459
Reorder the terms
163.28 + 75.459 = 163 + 75+ 0.28 + 0.459
Add the decimals and integers
163.28 + 75.459 = 238.739
Hence, the result of 163.28 + 75.459 is 238.739
Read more about sum expressions at:
https://brainly.com/question/4344214
#SPJ1
The solution of the equation 3(p - 5) = 5p -27 is
A) p = 6
B) p = 5
C) p = 4
D) p = 3
Answer:
A) p = 6
Step-by-step explanation:
Given equation:
3(p - 5) = 5p -27
Apply the Distributive Property of Multiplication over subtraction law:
⇒ 3 · p - 3 · 5 = 5p - 27
⇒ 3p - 15 = 5p - 27
Add 27 to both sides:
⇒ 3p - 15 + 27 = 5p - 27 + 27
⇒ 3p + 12 = 5p
Subtract 3p from both sides:
⇒ 3p - 3p + 12 = 5p - 3p
⇒ 12 = 2p
⇒ 2p = 12
Divide both sides by 2:
⇒ 2p ÷ 2 = 12 ÷ 2
⇒ p = 6
The value of x in the following equation 4x-5=7 is .........
Answer:
Step-by-step explanation:
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
Solve the system with
elimination.
2x - y = 3
9x – 6y = 6
Answer: x = 4, y = 5
Step-by-step explanation:
To solve by elimination, we must first eliminate one of the variables of the equations. We'll get rid of y, and to do this, you have to multiply 2x - y = 3 by -6.
-6(2x - 7 = 3)
-12x + 6 = -18
Now add -12x + 6 = -18 to with 9x - 6y = 6 to get rid of y.
-3x = -12 Solve for x
x = 4
Now plug x back into the original equation to solve for y.
2(4) - y = 3
8 - y = 3
-y = -5
y = 5
Your final solution is (4, 5)
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
Question 5(Multiple Choice Worth 1 points)
(02.05 MC)
Given the function f(x) = 3x + 1 and the linear function g(x), which function has a greater value when x = 3?
Answer:
g(x) is greater
Step-by-step explanation:
I need help answering this ASAP
Answer:
x=13
Step-by-step explanation:
f(x) = sqrt(x-11)
The square root must be greater than or equal to zero
sqrt(x-11)≥0
Square each side
x-11≥0
x ≥11
The only answer that is greater than or equal to 11 is
x=13
What percent of 362.5 is 145?
Answer:
40%
Step-by-step explanation:
362.5 = 100% (1).
x = 40% (2).
(362.5%)/(x%) = 100/40
x%/362.5% = 40/100
x = 145
Hope this helps.
Find the value of each variable. (x and y)
Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)
Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).
plz help and thankkkkm you
Answer:6(x+7= 42
Step-by-step explanation:
An NBA trainer wants to know if his stretching routine is helping the players on his team jump higher. He records the average height jumped for 8 players before completing his stretching routine, and then again after they have stretched. What is the parameter? Group of answer choices dbar = the true sample mean difference in jump height mu_d = the true sample mean difference in jump height dbar = the true population mean difference in jump height mu_d = the true population mean difference in jump height
Answer:
a. mu_d = the true population mean difference in jump height
Step-by-step explanation:
In statistical parlance, observations used for a study could either be randomly chosen points or members of a large group or population, this small chosen observation obtained from a larger group is called the sample, the statistical measures or characteristic of such group is called statistic; while statistical characteristic, computations or measurement of the entire group of observations is called the parameter.
Mean of sample are usually represented with a bar sign on top such as (xbar) ; while mean of a population is represented as μ.
An auto insurance company pays 10% commission to its agents for each new insurance
policy they sell. How much commission does an agent make on a $1,000 policy?
options are,
100$
120$
150$
Answer:
the commission amount does an agent make is $100
Step-by-step explanation:
The computation of the commission amount does an agent make is as follows:
= Commission percentage × policy amount
= 10% × $1,000
= $100
Hence the commission amount does an agent make is $100
It could be determined by applying the given formula so that the correct amount could come
help me with this question thanks
Answer:
700
Step-by-step explanation:
175 divided by 3 is 58.3 and then you multiply 58.3 by 12 and get 700
what should be added to 7 3/5 to get 18 (Step explanation )
I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
100 Points! Algebra question. Sketch the angle. Photo attached. Thank you!
The reference angle of -210 is 30 degrees and the sketch of the angle is attached
How to sketch the angle and find the reference angleFrom the question, we have the following parameters that can be used in our computation:
Angle = 210 degrees
Rewrite as
θ = 210 degrees
The above angle is in the third quadrant
So, we subtract 180 degrees from it to calculate the reference angle
Using the above as a guide, we have the following:
Reference angle = 210 - 180
Evaluate the difference
Reference angle = 30 degrees
Hence, the reference angle is 30 degrees and the sketch of the angle is added as an attachment
Read more about reference angle at
https://brainly.com/question/30741629
#SPJ1
Jonathan is working at Macy's for the holidays. He earns $22.00 in 2 hours.***. --Jonathan is hoping to work 82 hours in November. If he does, how much money would he earn? * PLZ HELP
Answer:
he would make $902
Step-by-step explanation:
22%2=11
82×11=902
Answer:
if he makes $22.00 in 2 hours he would make $11 in 1 hour. so if you take 82 times $11 it is $902 so he would earn $902 in 82 hours
Step-by-step explanation:
First person to answer the questions on the picture get brainiest!!!!
1. Yes. A dilation is performed on the figure. The ratio of the two figures is same. 2. No. The ratios of the sides of the figures are not equal and no transformation is applied.
What are transformations?The transformation, or f: X X, is the name given to the function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point. Two-dimensional mathematical figures move about a coordinate plane according to transformations.
1. Yes. A dilation is performed on the figure. The ratio of the two figures is same.
2. No. The ratios of the sides of the figures are not equal and no transformation is applied.
3. Yes. A translation is performed on the figure to shift the transformation with 2 units.
4. No. The ratios of the sides of the figure are not same.
Learn more about transformation here:
https://brainly.com/question/11709244
#SPJ1
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
What is In(3x)=2 ? Pre-Calc/Calc
The final value of the equation is x=e²/3
A natural log is a logarithm with the base "e." It is represented by the symbol "ln." In other words, loge = ln. In other words, the natural logarithm lacks a base. When "ln" is recognized automatically, "e" is assumed to be its base. The same set of logarithmic rules applies to all logarithms, including the natural logarithm. As a result, the following are the key natural log rules (also known as ln rules):
ln (mn) = ln m + ln nln (m/n) = ln m - ln nln mn = n ln mln a = (log a) / (log e)ln e = 1ln 1 = 0log∨b m = x ⇒ m = b∧xlog∨e(3x)=23x=e²x=e²/3Therefore the final answer for the given question is x=e²/3
LEARN MORE ABOUT LOGARITHMIC EQUATIONS HERE:
https://brainly.com/question/236421
#SPJ9
what is this
x - 3 < 9
Answer:
X<12
Step-by-step explanation:
the sum of two numbers is 60. the difference of the two different of the two numbers is -12. what are the two numbers
Answer:
the numbers are 24 and 36
Step-by-step explanation:
y+x=60
y-x= -12
add them
2y= 48
y= 24
x= 60-24
x=36
How much money would you have to deposit today at 9% annual interest compounded monthly to have $12000 in the account after six years?
Answer:
P = $ 7007.08 option C
Step-by-step explanation:
given: r = 9% pa compounded monthly , n = 6 , Amount A = $ 12000
to find : P
formula used : A = P ( 1+r/1200)⁷²
P = A / (1 + r/1200)⁷²
P = (12000) / (1 + 9/1200)⁷²
P = 12000 / ( 1 + 3/400)⁷²
P = 12000 / ( 403/400)⁷²
P = 12000 / (1.0075)⁷²
P = 12000 / (1.71255)
pls mark brainliest
Answer:
$18480
Step-by-step explanation:
First you find what 9% of 12,000 is. You get 1080. Then you multiply that number by 6 because it has been 6 years. Then you get 6480. You then add 6480 to 12000 and get 18480.
F=kr Solve for k I'm lost please help
Answer:
F /r = k
Step-by-step explanation:
F=kr
Divide each side by r
F/r=kr/r
F /r = k
It is known that 10% of the 9-year old children in a town have three siblings. Fifteen 9-year old children are selected at random. Find the probability that more than 3 of these selected children have three siblings (round off to second decimal place).
Using the binomial distribution, it is found that there is a 0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, for the parameters, we consider that:
10% of the 9-year old children in a town have three siblings, hence p = 0.1.Fifteen 9-year old children are selected at random, hence n = 15.The probability that more than 3 of these selected children have three siblings is given by:
\(P(X > 3) = 1 - P(X \leq 3)\)
In which:
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)
Then:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059\)
\(P(X = 1) = C_{15,1}.(0.1)^{1}.(0.9)^{14} = 0.3432\)
\(P(X = 2) = C_{15,2}.(0.1)^{2}.(0.9)^{13} = 0.2669\)
\(P(X = 3) = C_{15,3}.(0.1)^{3}.(0.9)^{12} = 0.1285\)
\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.2059 + 0.3432 + 0.2669 + 0.1285 = 0.9445\)
P(X > 3) = 1 - 0.9445 = 0.0555
0.0555 = 5.55% probability that more than 3 of these selected children have three siblings.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
A $5000 investment pays 3% interest compounded monthly. To the nearest cent, what will be the value of the investment after 10 years?
Answer:
We can use the formula for compound interest to solve this problem. The formula is:
A = P * (1 + r/n)^(n*t)
where:
A = the amount of money after t years
P = the principal amount (the initial investment)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:
A = 5000 * (1 + 0.03/12)^(12*10)
A = 5000 * (1.0025)^120
A ≈ $6,621.36
So the investment will be worth approximately $6,621.36 after 10 years.