Answer:
-36Step-by-step explanation:
(3)×(6)×(-2) =
18 × (-2) =
(remember plus per minus = minus)
-36
Write an algebraic equation for the following.
A number raised to the fifth power is four less than ten times the number.
A. 5x = 10x - 4
B. x³ =4-10x
C. 5x4-10x
D. x³ = 10x-4
Answer:
a
Step-by-step explanation:
raise to five
less than
ten times
3. A man stands 200 ft to the left of where a car starts moving north. The car is
moving at 50ft/sec. (a) Find the rate at which the diagonal distance from the man
to the car is changing once the car has been traveling for 10 seconds. (b) Find the
rate at which the angle from the man to the car is changing at the same moment
(10 seconds after the car starts moving). Round answers to 4 decimal places.
200 ft
car (moving at 50 ft/sec)
O
The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.
The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be
L² = x² + y²
L² = 200² + (50 × 10)²
L² = 40000 + 250000
L² = 290000
L = 538.50 ft
Then the rate at which the angle from the man to the car is changing at the same moment will be
L² = x² + y²
Differentiate with respect to time, then we have
2L (dL/dt) = 0 + 2y (dy/dt)
2(538.5) (dL/dt) = 2 (500) (50)
dL/dt = 46.43 ft/sec
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What are the period, phase shift, and vertical shift of y = csc[3(x 4)] 6?
The period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a trigonometric function:
y = csc[3(x+ 4)]+ 6
Every each revolution of 2π the function repeats the same value for every x.
The period of the original function is 2π
For the given function plug 2π
y = csc[3(x+ 4)+2π]+ 6
y = csc[3(x+ 2π/3+4)]+ 6
The period of the function will be 2π/3
From the function, the phase shift = 4
And vertical shift = 6
Thus, the period of the given function is 2π/3, the phase shift is 4, and the vertical shift is 6 units.
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Option 3
Step-by-step explanation:
what is the surface area
The scatterplot that represents the monthly values of stock QRS has an r-
value of -0.993. Which best describes the correlation of the graph?
OA. Weak correlation
B. Strong positive correlation
C. Strong negative correlation
OD. No correlation
Answer:
C
Step-by-step explanation:
Because it's a negative, then we could assume that it is a negative correlation. And because it's closer to -1, it is a strong negative correlation.
The value -0.993 is Strong Negative correlation.
What is Coefficient Correlation?The strength and direction of two variables in a scatterplot are quantified by the correlation coefficient, or r value. It goes from one to one.
A perfect positive correlation is denoted by +1.A perfect negative correlation is denoted by -1.0 indicates a lack of associationSo, the value close to 1 is Strong positive correlation and close to -1 is Strong Negative correlation.
Thus, -0.993 close to -1 is Strong Negative correlation.
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(3x + 1) + 8 (2x - 3) = 4 (3x -1) -7 (x -4) ayúdenme
Step-by-step explanation:
[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]
PLS ANSWER FOR MEEEE FAST TYYYYSMM
The following sphere has. A diameter of 18 cm.
Answer:
I think your answer is A, correct me if I'm wrong
Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM
Answer:
Step 2
Step-by-step explanation:
Solving
(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]The error has occurred in Step 2.
The distribution of -2 to 6y and -5 gives -12y and 10 respectively.
Instead, the distribution has not happened between -2 and -5.
You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.
Answer:
You each will pay $40.35
Step-by-step explanation:
First you take the total $134.50 and divide it by 4 which is you and your three friends.
This will give you 33.625 which is the amount each of you will pay without tip.
To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.
Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.
The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.
Hope this helped.
If the area of a circle is 90 cm, what is its radius?
Answer:
r= 5.35
Step-by-step explanation:
Answer:
the radius is .... 5.35 :P
kaii~
Given that ‘z’ is in set of complex number and ‘a’ is any real numbers. Solve the trigonometric equation sin(z) = a for all general solutions.
Recall that for all [tex]z\in\Bbb C[/tex],
[tex]\sin(z) = \dfrac{e^{iz} - e^{-iz}}{2i}[/tex]
so that
[tex]\sin(z) = a \iff e^{iz} - e^{-iz} = 2ia[/tex]
Multiply both sides by [tex]e^{iz}[/tex] to get a quadratic equation,
[tex]e^{2iz} - 2iae^{iz} - 1 = 0[/tex]
Solve for [tex]e^{iz}[/tex]. By completing the square,
[tex]e^{2iz} - 2ia e^{iz} + i^2a^2 = 1 + i^2a^2[/tex]
[tex]\left(e^{iz} - ia\right)^2 = 1 - a^2[/tex]
[tex]e^{iz} - ia = \pm \sqrt{1-a^2}[/tex]
[tex]e^{iz} = ia \pm \sqrt{1-a^2}[/tex]
[tex]iz = \log\left(ia \pm \sqrt{1-a^2}\right)[/tex]
[tex]iz = \ln\left|ia \pm \sqrt{1-a^2}\right| + i \left(\arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n\right)[/tex]
[tex]\boxed{z = -i \ln\left|ia \pm \sqrt{1-a^2}\right| + \arg\left(ia \pm \sqrt{1-a^2}\right) + 2\pi n}[/tex]
where n is any integer.
We are given with:
[tex]{\quad \qquad \longrightarrow \sin (z)={\sf a}\:,\:z\in \mathbb{C}}[/tex]
Recall the identity what we have for the sine function of complex numbers
[tex]{\boxed{\bf{\sin (z)=\dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}}}}[/tex]Put the values to thus obtain:
[tex]{:\implies \quad \sf \dfrac{e^{\iota z}-e^{-\iota z}}{2\iota}=a}[/tex]
[tex]{:\implies \quad \sf e^{\iota z}-e^{-\iota z}=2a\iota}[/tex]
Multiply both sides by [tex]{\sf e^{\iota z}}[/tex]
[tex]{:\implies \quad \sf e^{\iota z}\cdot e^{\iota z}-e^{-\iota z}\cdot e^{\iota z}=2a\iota e^{\iota z}}[/tex]
[tex]{:\implies \quad \sf (e^{\iota z})^{2}-2a\iota e^{\iota z}-1=0}[/tex]
Put x = [tex]{\sf e^{\iota z}}[/tex]:
[tex]{:\implies \quad \sf x^{2}-2a\iota x-1=0}[/tex]
Find the discriminant, here D will be, D = (-2ai)² - 4 × 1 × (-1) = 4 - 4a² = 4(1-a²)
Now, By quadratic formula:
[tex]{:\implies \quad \sf x=\dfrac{-(-2a\iota)\pm \sqrt{4(1-a^{2})}}{2}}[/tex]
[tex]{:\implies \quad \sf x=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]
[tex]{:\implies \quad \sf e^{\iota z}=\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}}[/tex]
[tex]{:\implies \quad \sf \iota z=log\bigg(\dfrac{a\iota \pm \sqrt{1-a^{2}}}{2}\bigg)}[/tex]
Using the formula for logarithms, we have:
[tex]{:\implies \quad \sf \iota z=log(a\iota \pm \sqrt{1-a^{2}})-log(2)}[/tex]
[tex]{:\implies \quad \sf z=\dfrac{1}{\iota}log(a\iota \pm \sqrt{1-a^{2}})-\dfrac{1}{\iota}log(2)}[/tex]
The sine function is periodic on 2πn and zero on (π/2), and the logarithmic expression becomes undefined for all ia±√(1-a²) < 0, so we will take modulus of it
[tex]{:\implies \quad \boxed{\bf{z=\dfrac{1}{\iota}log\bigg|a\iota \pm \sqrt{1-a^{2}}\bigg|-\dfrac{1}{\iota}log(2)+\dfrac{\pi}{2}+2\pi n\:\:\forall \:n\in \mathbb{Z}}}}[/tex]
A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.
Answer:
2
5
Step-by-step explanation:
fraction of girls in the class is 6
5
so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4
10(total number of students) is
2
5 when simplified
The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively.
the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours
Using the t-distribution, it is found that the 90% confidence interval is of 2.71 hours to 3.29 hours.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.
The other parameters are given as follows:
[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]
Hence the bounds of the interval are given as follows:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]
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7!
——————-
————-
please help!!
——————
math geniuses where r uuuu
————
help!
Answer:
It is the fourth option, D.
Simplify the following expression. (3m-4)²+8(3m-2)
A. 8m/4
B. 9m/4
C. 3m+24/4
D. 3m+28/4
Step-by-step explanation:
(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =
= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =
= 9m² - 24m + 16 + 24m - 16 = 9m²
so, there is seemingly something missing in your original expression.
going from 9m², the most likely solution would be 9m/4 and therefore B.
but we cannot be sure, because again, I don't know what you left out in the beginning.
What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?
Answer: 3
Step-by-step explanation:
HELP ASAP PLSSSSSSSSS
(image is below)
A scatter plot with a line is shown below:
Graph shows numbers from 0 to 10 at increments of 1 on the x axis and number s from 0 to 15 at increments of 1 on the y axis. Scatter plot shows ordered pairs 0, 1 and 1, 1 and 2, 3 and 3, 6 and 4, 6 and 5, 8 and 6, 9 and 7, 10 and 8, 12 and 9, 13 and 10, 15. A line joins ordered pairs 0, 0.5 and 10, 14.8.
Which statement is most likely correct about the line?
It can be a line of best fit because it is closest to most data points.
It can be a line of best fit because it passes through all the data points.
It cannot be a line of best fit because it does not pass through all the points.
It cannot be a line of best fit because it does not pass through the first and last points.
Answer:
Option 1
Step-by-step explanation:
The statement which is most likely correct about the line is :
It can be a line of best fit because it is closest to most data points.Option 18. Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).
a. What is a possible coordinate of the third vertex if the triangle has
a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
par poib
signe
Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).
a. What is a possible coordinate of the third vertex if the triangle has
a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
par poib
signe
0.596 as a fraction and 0.596 as a percentage.
596/1000 and 59.6%
Step-by-step explanation:
because when we make 596/1000 is 0.596
Use the order of operations to evaluate the numerical expression.
Answer:
I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though
Step-by-step explanation:
Needs numbers
A is directly proportional to B.
When A = 12, B = 3
Find the value of A when B=5
Answer:
a= 20
Step-by-step explanation:
12/3
a/5
60 = 3a
a = 60/3 = 20
What is the greatest common factor of
21xy^3 6x^4y^2
A. 42x^4 y^3
B. 42x^5 y^5
C. 3x^4 y^3
D. 3xy^2
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
Answer:
[tex]V=12\pi\:\text{units}^3[/tex]
Step-by-step explanation:
[tex]\displaystyle V=\frac{\pi r^2h}{3}\\ \\V=\frac{\pi (3)^2(4)}{3}\\\\V=\pi(3)(4)\\\\V=12\pi[/tex]
Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)
struggling with this could use some help + work explination, i havent been to class in weeks!
The value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Here is the formula for the probability of an exclusive event:-
[tex]P(AUB)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]13=14+P(B)-18[/tex]
[tex]P(B)=17[/tex]
hence the value of P(B)=17 for the given value P(A or B) = 13, P(A)= 14, and P(A and B) = 18.
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Jade jade made 2 quarts of salsa for a party. tania brought twice as march salsa for the party. how many pints of salsa do the girls have in all
Answer:
6 quarts of salsa in all
"Twice" indicates multiplying by 2, so multiply 2 by 2 to get 4.
That's not the end of the problem, though. "In all" indicates that we must add the values together. 2 plus 4 is 6, so your answer is 6.
Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.
Answer:
10
Step-by-step explanation:
[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]
The Tree casts a height of 10.41 feet tall.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
Connor is 6 feet tall and casts a shadow that is 2.5 feet long.
He stands next to a tree that is 25 feet tall.
let the shadow of tree is x feet long.
Using proportion
6/ 2.5 = 25/x
6x = 62.5
x= 10.41 feet
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We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?
Answer:
20%
Step-by-step explanation:
2:10 = 2/10 = 20/100 = 20%
Which is an equation of an asymptote of the hyperbola? y = 3x 10 y = –3x 8 y = x 2 y = x
The equation of the asymptote of the hyperbola is y = 3x + 10
How to determine the asymptote?From the complete question the asymptote passes through the points:
(x,y) = (-1, 7) and (-3,1)
The slope of the line is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{7 - 1}{-1 + 3}[/tex]
This gives
m = 3
The equation is then calculated using:
y = m(x -x1) + y1
This gives
y = 3(x + 1) + 7
Evaluate
y = 3x + 3 + 7
y = 3x + 10
Hence, the equation of the asymptote is y = 3x + 10
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Question 5 of 20
(___)^2=(secx-1)(secx+1)
answer here:
Find the mean of the data.
9, 56, 24, 59, 2
Answer:
24 because it is the middle number
Step-by-step explanation: