Answer:
4
Step-by-step explanation:
2x - (4y - 3) + 5xz
Let x = -3, y = 2, and z = ‐1.
2(-3) -( 4(2) -3) +5(-3)(-1)
-6 - (8-3) +15
-6 - 5 +15
-11 +15
4
Find the length of a side of a cubic die, if the volume of the die is 343/4 cubic inches
O 1.25 in.
0 1.50 in.
0 1.75 in.
01.95 in.
Answer:
The length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.
Step-by-step explanation:
The volume of a cube is given by:
[tex] V = l^{3} [/tex]
Where:
l: is the length =?
V: is the volume = 343/4 in³
By solving the above equation for "l" we have:
[tex] l = (V)^{1/3} = (343/4 in^{3})^{1/3} = 4.41 in [/tex]
Therefore, the length of a side of a cubic die of volume equal to 343/4 is 4.41 inches.
None of the options are correct for the given volume.
I hope it helps you!
Use the graph of the function y=g(x) below to answer the questions.
Answer:
Step-by-step explanation:
g(5) = 2 > 0
:::::
g(x) = 0 for x = -2, 2, 4
:::::
g(x) < 0 for -3 ≤ x < -2
I need a fully completed (or at least for the 8th grade) khan academy account!!!
Please help me!!
Answer:
so you need a khan academy account?
two interior angles of a trapezium sum up to 250 degrees If the remaining angles are equal find the value
9514 1404 393
Answer:
each is 55°
Step-by-step explanation:
The sum of angles in a trapezium is 360°, so the sum of the remaining two angles is 360° -250° = 110°. Each of those two equal angles will be ...
110°/2 = 55°
Find the probability of 3 success for the binomial experiment with 7 trial and the success probability of 0.3. Then find the mean and standard deviation. Write the formula substitute
the values.
Answer:
[tex]P(x=3)=0.2269[/tex]
Mean=2.1
Standard deviation=1.21
Step-by-step explanation:
We are given that
n=7
Probability of success, p=0.3
q=1-p=1-0.3=0.7
We have to find the probability of 3 success for the binomial experiment and find the mean and standard deviation.
Binomial distribution formula
[tex]P(X=x)=nC_xp^{x}q^{n-x}[/tex]
Using the formula
[tex]P(x=3)=7C_3(0.3)^3(0.7)^{7-3}[/tex]
[tex]P(x=3)=7C_3(0.3)^3(0.7)^{4}[/tex]
[tex]P(x=3)=\frac{7!}{3!4!}(0.3)^3(0.7)^{4}[/tex]
[tex]P(x=3)=\frac{7\times 6\times 5\times 4!}{3\times 2\times 1\times 4!}(0.3)^{3}(0.7)^{4}[/tex]
Using the formula
[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
[tex]P(x=3)=0.2269[/tex]
Now,
Mean, [tex]\mu=np=7\times 0.3=2.1[/tex]
Standard deviation, [tex]\sigma=\sqrt{np(1-p)}[/tex]
Standard deviation, [tex]\sigma=\sqrt{7\times 0.3\times 0.7}[/tex]
Standard deviation, [tex]\sigma=1.21[/tex]
Write an equation in point slope form for each line. Slope is 0 and (1 , 2) is on the line
Answer:
y -2 = 0(x-1)
Step-by-step explanation:
Point slope form is
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y -2 = 0(x-1)
y-2 =0
Samir estimates the value of Three-fifths times 16.1. Which estimate is reasonable?
3
9
12
15
Answer: 9
Step-by-step explanation:
[tex] \frac{3}{5} \times 16.1 = 9.66[/tex]
I need help plzzz I do understand what they want me to do plz help I’m in summer school right now!!!
Answer:
B.
Step-by-step explanation:
Vertical line test is a test in which you draw a line that goes up and down through the function. If at any point it goes through the function twice, then the function is no longer a function. cheers
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.] Find the associated radius of convergence R.
f(x) = 8(1 − x)^−2
show step by step including finding the derivatives.
Recall that for |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]
Differentiating both sides gives
[tex]\displaystyle \frac1{(1-x)^2} = \sum_{n=0}^\infty nx^{n-1} = \sum_{n=0}^\infty (n+1)x^n[/tex]
and multiplying both sides by 8 gives the series for f(x) :
[tex]f(x)=\displaystyle \frac8{(1-x)^2} = \boxed{8\sum_{n=0}^\infty (n+1)x^n}[/tex]
and this converges over the same interval, |x| < 1, so that the radius of convergence is 1.
Write each set in the indicated form.
If you need to use "
…" to indicate a pattern, make sure to list at least the first four elements of the set.
Answer:
a. Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}
Or
{y | y is a natural number and 11 < y < 16}
b. Rooster form: {3, 4, 5 ,6, ...}
Step-by-step explanation:
a. Rooster form: {12, 13, 14, 15}
All four numbers are natural numbers, therefore we would write this set of numbers in set builder form such that they will all have the same property. Thus:
Set-builder form: {y | y is a natural number and 12 ≤ y ≤ 15}
Or as
{y | y is a natural number and 11 < y < 16}
b. Set-builder form: {y | y is a natural number and y > 2}
Since natural numbers are positive integers, this tells us that all values of the set are not less than or equal to 2. Therefore, they are integers that range from 3 and above.
Thus:
Rooster form: {3, 4, 5 ,6, ...}
Y+10 like terms from expression 2
Answer:
y+10=2
y=-8
Step-by-step explanation:
y=2-10
y=-8
Can someten help me find the answer?
Answer:
D
Step-by-step explanation:
It subtracts.
A 20 foot ladder is leaning against the outside of the house while a painter is painting. The ladder makes an angle of 72∘ with the ground. What is the distance between the foot of the ladder and the house? Round your answer to the nearest foot. the answer is not 19.02
Cos (72°) = x/20
x=cos(72°)×20
x=6.2
x≈6
Answer:
x=6
Step-by-step explanation:
21 × 6 ÷ 7 + 12 - 15
Answer:
15
Step-by-step explanation:
By order of operations, multiplication and division are done first, then the addition and subtraction. Remember, multiplication and division have the same precedence, as does addition and subtraction.
21*6 = 126
126/7 = 18
18 + 12 = 30
30 - 15 = 15
Answer:
15
Step-by-step explanation:
21 × 6 ÷ 7 + 12 - 15
= 126 ÷ 7 + 12 - 15
= 18 + 12 - 15
= 30 - 15
= 15
solve above question
An absolute value function has
A. Curved lines that only increases and decreases.
B. Straight lines that do both increase ,decrease, or stay constant on the same graph
C.Straight line that do both increase and decrease on the same graph
D. Straight lines that only increase or decrease
E. Curved lines that do both increase and decrease on the same graph
Red maple trees can reach heights up to 80 feet. What is the height of the maple tree shown below?
Answer:
h = 54.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 35 = h/95
95 sin 35 = h
h=54.48976
Rounding to the nearest tenth
h = 54.5
Answer:
Step-by-step explanation:
[tex]sin 35/h = sin 90/95\\n=54.48976145\\54.5[/tex]
Two balls are picked at random from a box containing 5 red balls and 3 green balls. What is the probability that 1 red ball and 1 green ball are selected?
Answer:
Step-by-step explanation:
Answer:
3/8 x 5/8= 15/64
Step-by-step explanation:
Please help!!! Find the domain of the function y = 2 cot(5∕8x).
A) All real numbers except odd integer multiples of 8π∕5
B) All real numbers except 0 and integer multiples of 8π∕5
C) All real numbers except 0 and integer multiples of 4π∕5
D) All real numbers except odd integer multiples of 4π∕5
Answer:
Function 
Step-by-step explanation:
) Domain is defined as the set of possible values of x where function is defined.
For domain,
So,
The value of x is define as
The domain of the function is all real numbers except
The range is defined as all the y values for every x.
So, The range of the function is all real numbers.
2) The general form of the cot function is
Where, Period is
On comparing, B=3
So, The period of the given function is
3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.
The vertical asymptote is at where function is not defined.
The two vertical asymptote is
Put n=0,
Put n=1,
So, The two vertical asymptote are
Answer:
B.)
Step-by-step explanation:
took test
Each minute Garret is able to run 124 meters. If he has already run 328 meters, what will his total distance be after 11 minutes?
A. 1,692 meters
B. 2,244 meters
C. 3,674 meters
D. 4,972 meters
Answer:
A.
Step-by-step explanation:
124 * 11 = 1364
1364 + 328 = 1,692
Part G
You’ve seen two methods for finding the area of ΔABC—using coordinate algebra (by hand) and using geometry software. How are the two methods similar? How are they different? Why might coordinate algebra be important in making and using geometry software?
PLSS HELP ME
Answer:i need this too lol
Step-by-step explanation:
what is 24 subtracted from 8
Hi!
8 - 24 = -(24 - 8) = -16
Answer:
-16
Step-by-step explanation:
8-24=-16
The following data points represent the number of remote controllers each student in Tria's video game club owns.
Sort the data from least to greatest.
0
0
7
7
4
4
2
2
0
0
1
1
8
8
0
0
10
2
2
5
5
Find the interquartile range (IQR) of the data set.
HELP!!!!
Which of the following is the absolute value of 6 − 3i?
A) 3i√3
B) 3√5
C) 3√5i
D) 3√3
Answer:
B
Step-by-step explanation:
We want to find the value of:
[tex]\displaystyle |6-3i|[/tex]
Recall that given a complex number z in the form:
[tex]z=a+bi[/tex]
The absolute value of z will be given by:
[tex]\displaystyle |z| = \sqrt{a^2+b^2}[/tex]
We have the complex number:
[tex]6-3i[/tex]
Thus, a = 6 and b = -3.
Then its absolute value will be:
[tex]|6-3i|=\sqrt{(6)^2+(-3)^2}[/tex]
Evaluate:
[tex]\displaystyle |6-3i|= \sqrt{36+9}=\sqrt{45}=3\sqrt{5}[/tex]
Hence, our answer is B.
To win the game, Elena has to roll an even number first and a number less than 3 second. Her probability of winning is StartFraction 6 over 36 EndFraction.
Answer:
Sum of 6
Sum of 2 or 9
Sum (> 2 but < 5)
Step-by-step explanation:
We are given that :
Elena's probability of winning is 6 /36 = 1/6
And also that Martha's probability if winning is lower Than that of Elena ; Hence, Martha's outcome should be outcjnes whose probability is less than 1/6 (Elena's probability of winning)
Using a sample space that gives the sum of 2 dices.
Recall :
Probability = required outcome / Total possible outcomes
Total possible outcomes for a two dice throw = 6² = 36
Using the sample space attached, we can count the sums from the sample space :
To obtain a sum of 7 :
P(sum 7) = 6 /36 = 1/6
To obtain a sum of 6 :
P(sum 6) = 5 /36
Sum of 2 or 9:
P(sum of 2 or 9). = 5 / 36
Sum > 9 :
P(sum > 9). = 6/36
P Sum (> 2 but < 5) = 5 /36
Correct choices are probability values less than 6/36 which are :
Sum of 6
Sum of 2 or 9
Sum (> 2 but < 5)
Answer:
rolling a sum of 6
rolling a sum of 2 or a sum of 9
rolling a sum that is greater than 2 but less than 5
Step-by-step explanation:
the division method of 680624 and 165649
9514 1404 393
Answer:
680624 = 2^4 · 7 · 59 · 103165649 = 11^2 · 37^2Step-by-step explanation:
Using the division method, you find prime divisors that give integer quotients until the final quotient is a prime. For small divisors, it is beneficial to make use of divisibility rules. For larger ones, you just have to try the list of primes to see what you get.
680624The last two digits are divisible by 4, so the number can be divided by 2 twice (at least). We can keep dividing by 2 as long as the 1s digit is even.
680624/2 = 340312
340312/2 = 170156
170156/2 = 85,078
85078/2 = 42539
The next prime is 3. The divisibility rule for 3 is the sum of digits must be divisible by 3. 4+2+5+3+9 = 23, not divisible by 3.
The next prime is 5. For divisibility by 5, the number must end in 0 or 5. This is not divisible by 5.
The next prime is 7. For divisibility by 7, there are several possible rules you can use. One I find relatively easy to remember is to subtract double the 1s digit from the rest of the number and see if that is divisible by 7. Here, that gives ...
4253 -2(9) = 4235; 423 -2(5) = 413; 41 -2(3) = 35 . . . divisible by 7
Continuing, we have ...
42539/7 = 6077
There are additional divisibility rules for 11 and 13 that can be applied. For divisibility by 11, we can add pairs of digits: 77 +60 = 137, not divisible by 11.
For divisibility by 13, we can add 4 times the last digit to the rest:
4253 +4(9) = 4289; 428 +4(9) = 464; 46 +4(4) = 62 . . . not divisible by 13
__
After this point, it is a matter of trying the primes one by one to see what the number may be divisible by. This "trial and error" will show you ...
6077/59 = 103 . . . 103 is prime, so we're done
The final factorization is ...
680624 = 2^4 · 7 · 59 · 103
__
165649As luck would have it, this is a perfect square, so we can immediately reduce the problem to something a little easier.
√165649 = 407
We can see "immediately" that this is not divisible by 2, 3, 5, or 7. However, 04+07 = 11, so this is divisible by 11.
407/11 = 37 . . . 37 is prime, so we're done
The final factorization is ...
165649 = 11^2 · 37^2
_____
As you can probably tell, it is convenient to have a list of prime numbers available. Here is a list of the first few primes.
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59,
61, 67, 71, 73, 79, 83, 89, 97, 101, 103
_____
Additional comment
If you start with the smallest primes, (2, 3, 5}, once you find a prime divisor, you only need to try primes greater than or equal to that one on the quotient. In any event, you only need to try primes up to the square root of the value you're trying to factor. If none of those work, then the number itself is a prime.
In the first problem, once we got to 6077, we would only need to try primes up to √6077 ≈ 77. That is, if 6077 turned out to be not divisible by any prime equal to 73 or less, then 6077 would be the last prime factor. (As we found, 6077 is composite, not prime, so using that number is just to illustrate the point regarding the largest value needed to be tested.)
Students were sampled in order to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling, and the following results were obtained.
Do You Support? Number Of
YES 40
NO 60
NO OPINION 50
a. The value of the chi-square test statistic equals _____?
b. The number of degrees of freedom associated with this scenario is _____?
Answer:The correct answer is They wanted to impede the sale of alcohol.
Step-by-step explanation:
They had beliefs that alcohol was against Christianity and that it ruins families and since it ruins families it should be prohibited. They eventually managed to win enough support and ban all alcohol which lasted for a few years before the prohibition ended.
Which theorem accurately completes Reason A?
hich theorem accurately completes Reason A
Use the figure to find x.
Answer:
Step-by-step explanation:
The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 30° angle is (12√6)÷2 = 6/√6.
The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.
The sides of a 45-45-90 triangle are in the ratio 1:1:√2
The hypotenuse is 3√2, so the side opposite the 45° angle is 3.
x = 3
Consider the piecewise function shown on the graph, which is composed of three different function types. ----- IMAGE ATTACHED BELOW
Match each piece of the function with its domain.
Answer:
[tex]Domain = (-\infty,-2)[/tex] --- quadratic function
[tex]Domain = (-2,6)[/tex] --- linear function
[tex]Domain = (6,\infty)[/tex] --- square root function
Step-by-step explanation:
Given
The attached graph
Required
The domain of each function
Starting from the left; the first function is the quadratic function.
The curve of the quadratic function stops at -2 So, the domain is:
[tex]Domain = (-\infty,-2)[/tex]
The straight line that starts at -2 and ends at 6 is a linear function.
So, the domain is:
[tex]Domain = (-2,6)[/tex]
Lastly, the square root function begins at 6. So, the domain is:
[tex]Domain = (6,\infty)[/tex]
Answer:
quadratic = (-∞,-2)
square root = (6,∞)
linear = (-2,6)
Step-by-step explanation:
