Answer:
x=28
Step-by-step explanation:
Please help! Identify which of the following is not equivalent to a1/4
Answers (images below)
no links please!
Answer: B
Step-by-step explanation:
A) [tex]a^\frac{3}{4}[/tex]÷[tex]a^\frac{1}{2}[/tex] cannot be the answer. When a to the power of x is divided by a to the power of y it is a to the power of x-y. Ex: [tex]a^x[/tex]÷[tex]a^y=a^x^-^y[/tex]
So 3/4-1/2 is 1/4 giving us [tex]a^{\frac{1}{4} }[/tex]
B is the answer because taking the square root of a is the same as [tex]a^\frac{1}{2}[/tex] which isn't the same as [tex]a^\frac{1}{4}[/tex]
C is not the answer because when a to the power of x is multiplied by a to the power of y it is a to the power of x+y. Ex: [tex]a^x[/tex]·[tex]a^y[/tex]=[tex]a^{x+y}[/tex]
1/8+1/8=1/4 so it is [tex]a^\frac{1}{4}[/tex]
D can't be the answer. [tex]a^\frac{1}{8}[/tex] squared is the same as [tex]a^\frac{1}{8}[/tex]·[tex]a^\frac{1}{8}[/tex] so the same explanation of c applies to d
The product of two consecutive even integers is 10 less than 5 times their sum. Find the two integers. Answer in
the form of paired points with the lowest of the two integers first.
or
Answer:
(0,2) and (8,10)
Step-by-step explanation:
Let the smaller integer be 2n. The larger will be 2x+2.
ATQ. 2n(2n+2)+10=5(4n+2). Solving it, we get 2n=0 or 2n=8. The pairs are (0,2) and (8,10)
For the following function, one zero is given. Find all other zeros.
f(x)=x3-7x2+17x-15; 2-i
Answer:
1,-3,-5
Step-by-step explanation:
Given:
f(x)=x^3+7x^2+7x-15
Finding all the possible rational zeros of f(x)
p= ±1,±3,±5,±15 (factors of coefficient of last term)
q=±1(factors of coefficient of leading term)
p/q=±1,±3,±5,±15
Now finding the rational zeros using rational root theorem
f(p/q)
f(1)=1+7+7-15
=0
f(-1)= -1 +7-7-15
= -16
f(3)=27+7(9)+21-15
=96
f(-3)= (-3)^3+7(-3)^2+7(-3)-15
= 0
f(5)=5^3+7(5)^2+7(5)-15
=320
f(-5)=(-5)^3+7(-5)^2+7(-5)-15
=0
f(15)=(15)^3+7(15)^2+7(15)-15
=5040
f(-15)=(-15)^3+7(-15)^2+7(-15)-15
=-1920
Hence the rational roots are 1,-3,-5 !
Simplify 4(a + 1) + 5(a + 2).
Answer: [tex]9a+14[/tex]
Step-by-step explanation:
Simplify: [tex]4(a+1)+5(a+2)[/tex]
Step 1. Distribute 4 into a and 1. By distributing you would get 4a and 4.
[tex]4*a=4a. \\4*1=4[/tex]
Step 2. Plug 4a+4 back into the remaining equation, which can be viewed below:
[tex]4a+4+5(a+2)[/tex]
Step 3. Distribute, [tex]5(a+2)[/tex] again. Same principle as what you did previously. You should get 5a and 10.
[tex]5*a=5a.\\5*2=10.[/tex]
Step 4. Plug 5a+10 back into the leftover equation, which is as follows.
[tex]4a+4+5a+10[/tex]
Step 5. Combine like terms. Which is broken down below,
[tex]4a+5a=9a.\\4+10=14.[/tex]
Once you're done combining like terms, you'll get the simplified answer which is: [tex]9a+14[/tex]
Answer:
9a +14
Step-by-step explanation:
4(a + 1) + 5(a + 2)
Distribute
4a+4 +5a+10
Combine like terms
4a+5a +4+10
9a +14
Graph the inequality in the coordinate plane. y<6
Answer:
Simpler equations and inequalities as such could be typed into an online graphing calculator such as Desmos! Remember this because you'll need it for future harder math classes :)
Step-by-step explanation:
Ngày 31/01/2021 theo biên bản kiểm kê vật liệu số 202101001: Trị giá vật liệu A trên sở kế toán: 20.000.000 đồng, theo số liệu thực tế: 18.000.000 đồng, giá trị vật liệu thiếu chưa rõ nguyên nhân
Answer:
Maaf saya tidak paham
jadikan jawaban tercerdas, terimakasih
Answer:
nợ tk 1381: 2 triệu / có tk 152: 2 triệu
What is the standard deviation?
8, 10, 12,14,16,18,20
PLEASE show work
Answer:
4
Step-by-step explanation:
The given data is :
8, 10, 12,14,16,18,20
We need to find the standard deviation. Here,
Count = 7
Sum, Σx: 98
Mean, μ: 14
The standard deviation is given by :
[tex]\sigma=\sqrt{\dfrac{1}{N}\Sigma(x_i-\mu)^2}[/tex]
or
[tex]\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4[/tex]
So, the standard deviation of the given data is 4.
What type of line is PQ?
A. median
B. altitude
C. angle bisector
D. side bisector
I need help with this question to pass a test
Answer:
Option C, angle bisector
Answered by GAUTHMATH
John borrowed a certain amount of money from Tebogo at a simple interest rate of 8,7% per year. After five years John owes Tebogo R10 000.Calculate how much money John initially borrowed
please help me
find x
9514 1404 393
Answer:
x = 6√2
Step-by-step explanation:
The side ratios in an isosceles right triangle are ...
1 : 1 : √2
These will be the same as ...
x : x : 12
so, ...
x = 12/√2
x = 6√2
When multiplying by 10 how many spaces do you move the decimal point
Answer:
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left.
Step-by-step explanation:
Multiplying a decimal by 10 increases the value of each digit by 10. Multiplying a decimal by a power of 10 increases the value of each digit by a number of times that is equivalent to that power of 10. When a digit's value is changed, that digit is moved to the appropriate place.
SOMEONE PLEASE HELP ME!!!!!!!!
9514 1404 393
Answer:
PQ = 46
Step-by-step explanation:
Midsegment ST is half the length of base segment PQ.
2×ST = PQ
2×(5x -22) = 3x +19
10x -44 = 3x +19 . . . . . . . eliminate parentheses
7x = 63 . . . . . . . . . . . . add 44-3x
x = 9 . . . . . . . . . . . . divide by 7
PQ = 3x +19 = 3×9 +19
PQ = 46
A farmer weighs a dozen chicken eggs. The heaviest egg is 56 g.
Step-by-step explanation:
hi
what is your question?
Step-by-step explanation:
please tell full questions
Factorize:
3a^2 + 10a + 3
Answer: (3a + 1) (a + 3)
Step-by-step explanation:
Concept:
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
Solve:
Given = 3a² + 10a + 3
STEP ONE: separate 3a² into two terms
3a
a
STEP TWO: separate 3 into two terms
3
1
STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
STEP FOUR: combine the expression horizontally to get the final factorized expression.
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
Which function represents the graph of f(x)=−4|x| after it is translated 3 units down?
Answer:
The function with blue line (see attachment) represents the graph of [tex]f(x) = -4\cdot |x|[/tex] after it is translated 3 units down.
Step-by-step explanation:
Mathematically speaking, a translation in the y-direction is defined by the following expression:
[tex]g(x) = f(x) + k[/tex] (1)
Where:
[tex]g(x)[/tex] - Resulting function.
[tex]f(x)[/tex] - Original function.
[tex]k[/tex] - Translation factor ([tex]k > 0[/tex] - Translation in the +y direction/[tex]k< 0[/tex] - Translation in the -y direction).
If we know that original function is translated 3 units down and [tex]f(x) = -4\cdot |x|[/tex], then the resulting function is:
[tex]g(x) = -4\cdot |x|-3[/tex]
Lastly, we graph both original and resulting functions with the help of a graphing tool, whose outcome is presented in the image attached below:
Please notice that the red line represents the original function, whereas the blue line represents the resulting function.
Barnes and Nobles buy a book for $12.22. They mark up the price of the book by 35%.
Which equation can be used to find how much they sell the book for?
x = .35 (12.22)
x = 1.35 (12.22)
x = .65 (12.22)
x = .035 (12.22)
9514 1404 393
Answer:
x = 1.35 (12.22)
Step-by-step explanation:
The selling price x is ...
x = cost + markup
x = cost + 0.35 × cost = cost(1 +0.35)
x = 1.35(12.22)
what is the slope and point
Answer:
Step-by-step explanation:
Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have following salaries (in $1000s): 70, 80, 90. The average and the standard deviation of the data in the sample are 80 and 10. Using hypothesis testing, determine if this sample provides a sufficient evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $60,000.
a. Null hypothesis.
b. alternative hypothesis.
c. test statistic.
d. acceptance region.
Answer:
H0 : μ = 60000
H1 : μ ≠ 60000
Test statistic = 3.464
Step-by-step explanation:
Given :
Sample mean salary, xbar = 80000
Sample standard deviation, s = 10000
Population mean salary , μ = 60000
Sample size, n = 3
Hypothesis :
H0 : μ = 60000
H1 : μ ≠ 60000
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (80000 - 60000) ÷ (10000/√(3))
T = 20000 / 5773.5026
T = 3.464
The Decison region :
If Tstatistic >Tcritical
Tcritical at 10%, df = 2 ; two - tailed = 2.9199
Tstatistic > Tcritical ; He
What is the simple interest rate if $51.67 in interest is earned on a deposit of $1377.53 in one year?
Answer:
2666.01%
Step-by-step explanation:
Intrest=(PA)*I*T
1377.53=51.67*I*1
I=26.6601=2666.01%
0.108 ÷ 0.09
Please help in less then 3 mins
∠B=
Round to nearest hundredth
Hurry pls 50 points
I’ll mark brainliest if anyone answers in under 5 min
Answer:
Step-by-step explanation:
Which type of correlation does the scatter plot show?
A) No correlation
B) Positive correlation
C) Negative correlation
D) Can't be determined
Answer: B, Positive Correlation
Step-by-step explanation:
Every point after the first point increases. Therefore, we have a positive correlation. If it was a negative correlation, every point after the first would be decreasing.
Suppose 1 in 5 (1/5) JWU students own their own car. If four students are randomly selected, what is the probability that all four own their car?
Answer:
1/625 = 0.0016
Step-by-step explanation:
update, oh sorry, this is about 4 picks and not 5.
so, it is 1/5⁴ = 1/625 = 0.0016
1 in 5 own their own car.
that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.
let's assume that the total number of students is large enough that each pick does not change the individual probabilities.
each event (picking a student and checking the ownership of a car) is independent and non-overlapping.
so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.
the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.
the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.
the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.
the probability that the first student pick owns a car is 1/5 or 0.2
so, we have a clean
1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032
A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?
Answer:
17 days
Step-by-step explanation:
as you see, 4=2^2
and 8=2^3
so we have a number sequence:
2+2^2+2^3+...+2^n=260000 (1)
multiply (1) by 2 we have:
2^2+2^4 +...+2^(n+1)=520000 (2)
(2) minus (1) we have:
2^(n+1)-2=260000
2^n*2=260002
2^n=130001
and we have 2^17=131072 >130001
so it will take her at least 17 days to buy the car
It will take her about 17 days to buy the car worth 260000 cents
If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)
If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:
2, 4, 8...
This sequence is geometric in nature
In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Given the folowing
a = 2
r = 4/2 = 8/4 = 2
Sn = 260,000
Substitute into the formula the given parameters
[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]
This shows that it will take her about 17 days to buy the car worth 260000 cents
Learn more here: https://brainly.com/question/20548958
create an equation that represents the rainforest
What is the largest value of A according to the division operation given above?
A)300 B)314 C)400 D)450
Answer:
Hello,
Answer B
Step-by-step explanation:
Since A=15*20+B and B<15
The max for B is 14
==> 300+14=314
Hoa mua 2 con gà . Lan mua 4 con gà. Hỏi cả 2 bạn mua bao nhiêu con gà
Answer: 6 con ga
Step-by-step explanation:
So ga ca 2 ban mua la:
2+4=6 (con ga)
It is known that the variance of a population equals 1,936. A random sample of 121 has been selected from the population. There is a .95 probability that the sample mean will provide a margin of error of _____. Group of answer choices 31.36 or less 1,936 or less 344.96 or less 7.84 or less
Answer:
Option d (7.84 or less) is the right alternative.
Step-by-step explanation:
Given:
[tex]\sigma^2=1936[/tex]
[tex]\sigma = \sqrt{1936}[/tex]
[tex]=44[/tex]
Random sample,
[tex]n = 121[/tex]
The level of significance,
= 0.95
or,
[tex](1-\alpha) = 0.95[/tex]
[tex]\alpha = 1-0.95[/tex]
[tex]Z_{\frac{\alpha}{2} } = 1.96[/tex]
hence,
The margin of error will be:
⇒ [tex]E = Z_{\frac{\alpha}{2} }(\frac{\sigma}{\sqrt{n} } )[/tex]
By putting the values, we get
[tex]=1.96(\frac{44}{\sqrt{121} } )[/tex]
[tex]=1.96(\frac{44}{11} )[/tex]
[tex]=1.96\times 4[/tex]
[tex]=7.84[/tex]
Solve the inequality is it a,b,c,d?
Answer:
B
Step-by-step explanation:
-2/3x<31/3
x>-31/2
x>-15 1/2
Answer:
x > - 15 1/2
Step-by-step explanation:
-2/3 x -10 < 1/3
Multiply each side by 3
3(-2/3 x -10 < 1/3)
-2x -30 < 1
Add 30 to each side
-2x-30+30 <1+30
-2x < 31
Divide by -2 remembering to flip the inequality
-2x/-2 > 31/-2
x > -31/2
x > - 15 1/2
Please help explanation if possible
Answer:
17.3
Step-by-step explanation:
14.4 x 1.2
= 17.28
= 17.3 ( approximately )