Answer: u - 8 = -9
Step-by-step explanation:
Given equation
-7u - 5 = 2
Add 5 on both sides
-7u - 5 + 5 = 2 + 5
-7u = 7
Divide -7 on both sides
-7u / (-7) = 7 / (-7)
u = -1
Substitute values into the goal expression
u - 8 = (-1) - 8 = [tex]\Large\boxed{-9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The answer is -9.
First, let's find the value of u.
-7u - 5 = 2-7u = 7u = -1Now, substitute in the expression.
u - 8(-1) - 8-9If the r-value, or correlation coefficient, of a data set is 0.854, what is the
coefficient of determination to three decimal places?
A. 0.829
• B. 0.754
• C. 0.729
D. 0.854
The following table shows the data of a random sample of fish collected from and later released into a lake:
PLEASE ANYBODY HELP FAST I NEED TO KNOW THIS AND IF I DONT SCORE ATLEAST A 60% I WONT PASS PLEASE SOMEONE HALP ILL GIVE BRAINLIEST
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
How many trout are estimated to be present if a random sample of 5,000 fish is collected from the lake?
The estimated number of trout that is present in a random sample of 5,000 fish is 1429
How to determine the number of trout that are estimated?The table of values is given as:
Type of Fish Piranha Catfish Trout
Number of fish 120 230 140
The proportion of fish that are trout is calculated as:
Trout = 140/(120 + 230 + 140)
Evaluate the sum
Trout = 140/490
Simplify the fraction
Trout = 2/7
The number of trout that is present in a random sample of 5,000 fish is calculated as:
Trout = 2/7 * 5000
Evaluate the product
Trout = 1429
Hence, the estimated number of trout that is present in a random sample of 5,000 fish is 1429
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GEOMETRY
Surface area of a cube or a rectangular prism
There is a rectangular prism with a length of 8 yd, a width of 6 yd, and a height of 5 yd.
Find the surface area of this rectangular prism.
Be sure to include the correct unit in your answer.
You draw a rectangular picture that is 8 inches wind.It is 3 times as long as it is wind what is the area of the picture
Answer:
[tex]512 ^{2} [/tex]
the area of the picture
if sin 0=12/13 and 0 is in quadrant II, cos 20= and cos0=
a. The value of cos2θ = -119/169
b. The value of cosθ = -5/13
The question involves trigonometric identities
What are trigonometric identities?Trigonometric identities show the relationship between trigonometric ratios.
How to find the value of cos2θ?Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.
Using trigonometric identity
cos2θ = 1 - 2sin²θ
Substituting sinθ = 12/13 into the equation, we have
cos2θ = 1 - 2sin²θ
cos2θ = 1 - 2(12/13)²
cos2θ = 1 - 2(144/169)
cos2θ = 1 - 288/169
cos2θ = (169 - 288)/169
cos2θ = -119/169
So, the value of cos2θ = -119/169
How to find the value of cosθ?Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.
Using trigonometric identity
cosθ = √(1 - sin²θ)
Substituting sinθ = 12/13 into the equation, we have
cosθ = √(1 - sin²θ)
cosθ = √[1 - (12/13)²]
cosθ = √[1 - (144/169)]
cosθ = ±√(169 - 144)/169
cosθ = ±√25/169
cosθ = ±5/13
θ is the quadrant II, it means that 90° ≤ θ ≤180° it means that cosθ is negative.
So, cosθ = -5/13
So, the value of cosθ = -5/13
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Please help me with this question!
Answer:
true, it will always divide the opposite side in halff
Step-by-step explanation:
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
The statement " Any altitude of an equilateral triangle is also a median of the triangle " is true
because if we take altitude from any side of an equilateral triangle to its opposite side. it wil make 90° and by using congruency, the two newly formed truangles will be congruent to each other, hence by using the results of congruency, we can get the two pasrts of the side on which attitude was dropped to be equal.
[tex] \qquad \large \sf {Conclusion} : [/tex]
Yes ! Altitude of an equilateral angle triangle from any side is also a median.
Which inequality is represented by the following graph?
x ≤ 4
Answer:
X is less than and equal to 4
Can anyone help me figure out this question?
Jen opened a savings account at the bank. The amounts of her first 3 deposits are shown below:
• Deposit 1: $325
• Deposit 2: $280
• Deposit 3: $480
• Deposit 4: ?
How much does she need in the fourth deposit so that her average deposit is $365?
Answer:$375
Step-by-step explanation: To find the average, we need to add all of the numbers up and divide by the number of numbers in the set. Since there are 4 deposits, to get an average of #365, Jen needs to have deposited 365x4 = $1460 in total. Now, it is pretty easy to find the answer. We add up her 3 deposits: 325+280+480 = $1085 and see that it is still $375(1460 - 1085) short. So, Jen needs to deposit $375 on her fourth deposit to have an average of $365.
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X ≥ 5), n=6, p=0.3
The probability of obtaining a success is 0.010935.
Given that the probability of obtaining success is P(X>=5),n=6,p=0.3.
We are required to find the probability of obtaining a success if the probability is P(X>=5).
Probability is basically likeliness of happening an event among all the events possible.
Binomial distribution is basically the discrete probability distribution of the number of successes in a sequence of n independent experiments.
[tex](a+b)^{n} =nC_{0}p^{0} (1-p)^{n-0}+-----------nC_{n} p^{n} (1-p)^{0}[/tex]
We have to just put n=6 anr r=6 and 5 one by one to get the probability.
P(X>=5)=[tex]6C_{5}(0.3)^{5} (0.7)^{1} +6C_{6}(0.3)^{6} (0.7)^{0}[/tex]
=6!/5!1!8*0.00243*0.7+0.000729
=6*0.00243*0.7+0.000729
=0.010206+0.000729
=0.010935
Hence the probability of obtaining a success if the probability is P(X>=5) is 0.010935.
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How many three-digit positive integers have at least one prime digit?
Answer:
210
Step-by-step explanation:
[tex]512=2^9 \\[/tex] has 9 prime factors
Now, if you want to maximize the number of different prime factor, apply the following method: let [tex]p(n)[/tex] be the nth prime number, in increasing order. Let [tex]v[/tex] define as follow : [tex]v(0)=1,v(n+1)=v(n)p(n+1)[/tex] , and find n such that [tex]v(n) < 1000,v(n+1) > 1000[/tex]. n will be the number of factors and v(n) your integer.
[tex]v(1)=2v(0)=2v(2)=3v(1)=6v(3)=5v(2)=30v(4)=7v(3)=210v(5)=11v(4)=2310[/tex]
There you are, 210 , with only 4 different prime factors.
→Credits: Xavier Dectot←
One circle has a circumference of 12x cm. Another circle has a circumference of 32x cm. What is the ratio of the
radius of the smaller circle to the radius of the larger circle?
O 3:8
O 8:3
O 1:3
O 3:1
Answer:
3 :8
Step-by-step explanation:
12 : 32 = 3:8
I believe that is right.
The centre of the stained glass window is in the shape of a regular polygon. What are the measures of the interior angle of the green triangle?
CAN SOMEONE EXPLAIN WITH REASONING STEP BY STEP Solution so I can grasp the concept easily. please explain with a sol
Answer:
67.5 - 67.5 - 45 °
Step-by-step explanation:
Sum of INTERIOR angles of a polygon
(n-2) * 180 <====ya just have to remember/know this !
n is the number of sides n = 8 in this case
(8-2)*180 = 1080 ° < === this is the SUM of the 8 interior angles
EACH interior angle is then 1080 / 8 = 135 °
you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each
so the triangle measurements are
67.5 - 67.5 - 45 ( they have to sum to 180 for triangle)
Twenty years ago, 51% of parents of children in high school felt it was a
serious problem that high school students were not being taught
enough math and science. A recent survey found that 232 of 700
parents of children in high school felt it was a serious problem that high
school students were not being taught enough math and science. Do
parents feel differently today than they did twenty years ago? Use the
α = 0.1 level of significance
No the parents do not feel differently as they used to feel twenty years ago
Given :-
Po: p=0.46
Pa: p NE 0.46
alpha=0.01
Test statistic is one sample proportion [tex]z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}[/tex]
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Po and insufficient evidence to support the claim that parents feel differently.
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PLEASE HELP ALOT OF POINYSAshlee is working with a local construction firm to improve Interstate 35.
The construction firm has created steel supports that will be arranged
into triangular shapes with side lengths of 6 feet, 9 feet, and where the
third side of each triangle has various lengths. They have asked Ashlee to
design a package that she could guarantee would fit all the materials. She
decided to use constructions to determine the maximum value for the
unknown side, x, and then ship all her materials in a box of length x feet.
Which is the best conclusion for Ashlee to make?
The best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
How to determine the maximum lengths?
The side lengths of the triangle are given as:
6 feet and 9 feet
Let the third side be x.
By triangle inequality theorem, we have:
a + b > c
So, we have
6 + 9 > x
6 + x > 9
9 + x > 6
Evaluate the inequalities
15 > x
x > 3
x > -3
Remove the negative inequality
15 > x
x > 3
Combine the inequalities
3 < x < 15
So, the maximum side is less than 15
Hence, the best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.
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Your family borrowed $400,000 from the bank to purchase a new home. If the bank charges 3.8%
interest per year, compounded weekly, it will take 25 years to pay off the loan. How much will each
weekly payment be?
Answer:
472.19
Step-by-step explanation:
$472.19 weekly
Thus the required weekly installment is $402.30 for 25 years.
Given,
The family borrowed $400,000 from the bank to purchase a new home.
the bank charges 3.8% interest per year, compounded weekly, it will take 25 years to pay off the loan. How much will each weekly payment to be determined?
Statistics is the study of mathematics that deals with relations between comprehensive data.
The principle amount to refund = 400,000
Let the principle amount for weekly = P
Rate per year = 3.8%
Tenure = 25 year
For weekly installments,
52 Weeks in a year
Tenure = 25/52
Now,
[tex]Amount = P(1-(1+r)^{-tn})/i\\400000 = P (1-(1+0.038/52)^{-25*52}) / (0.038/52)\\400000 * 0.038/52 = P(1-(52.038)^{-25*52})\\292.30 = P(1-(1.001)^{-1300})\\292.30 = P(1-0.273)\\292.30=P * 0.727\\P = 402.30[/tex]
Thus the required weekly installment is $402.30 for 25 years.
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Use the grouping method to factor the polynomial below completely.
x³ + 2x² + 4x+8
The polynomial equation x³ + 2x² + 4x+8 can be expressed as the method of factor polynomial exists (x² + 4)(x + 2).
What is a factoring method?The factoring process concerns removing factors from an experiment and then using them in the analytical method of factor analysis.
Polynomials exist as expressions with one or more terms with a non-zero coefficient. A polynomial can contain more than one term.
A mathematical expression of one or more additional algebraic terms each of which consists of a constant multiplied by one or more variables presented to a nonnegative integral power.
Given: x³ + 2x² + 4x+8
x³ + 2x² + 4x+8 = 0
simplifying the equation, we get
(x³+2x²)+(4x+8 )= 0
x²(x+2)+4(x+2)= 0
factorizing the above equation, we get
(x+2)(x²+4) = 0
Therefore, the polynomial equation x³ + 2x² + 4x+8 can be expressed as the method of factor polynomial exists (x² + 4)(x + 2).
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Inverse Functions: Mastery Test
Select the correct answer.
Consider this function.
f(x) = -3z + 3
Which graph represents the inverse of function f
The inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]x=g(y)=-\frac{y}{3}+1[/tex].
How to find the inverse of a function of type y=f(x)=ax+b?An inverse function is a function that undoes the action of another function. For example, if the function [tex]f[/tex] produces the number [tex]y[/tex] after applying on [tex]x[/tex] i.e., [tex]y=f(x)[/tex], then the inverse function of [tex]f[/tex], which is denoted by [tex]f^{-1}[/tex], produces [tex]x[/tex] after applying on [tex]y[/tex] i.e., [tex]f^{-1}(y)=x[/tex].To find the inverse of a function of type [tex]y=f(x)=ax+b[/tex], we just need to rewrite the equation as [tex]x=g(y)[/tex] which can be illustrated as follows: [tex]y=ax+b\Longrightarrow x=\frac{y}{a}-\frac{b}{a}[/tex] i.e., [tex]g(x)=\frac{x}{a}-\frac{b}{a}[/tex] is the inverse function of [tex]f(x)=ax+b[/tex].Here, the given function is [tex]f(x)=-3x+3[/tex].
Then we get:
[tex]y=-3x+3\\\Longrightarrow x=-\frac{y}{3}+1[/tex]
Thus, the inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]g(x)=-\frac{x}{3}+1[/tex].
The graph representing this inverse function is given as follows:
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Figure ABCD Is a kite. Find x
Answer:
x = 8
Step-by-step explanation:
Diagonals of a kite cross at right angles. That gives us a relation that can be solved for x.
SetupThe measure shown is equal to the angle measure of 90°.
14x -22 = 90
SolutionWe can solve this 2-step linear equation in the usual way.
14x = 112 . . . . . . step 1, add the opposite of the constant to get x alone
x = 112/14 = 8 . . . step 2, divide by the coefficient of x
The value of x is 8.
The area of a rectangular cocktail table is x^2-18x+32 If the width is x-16 what is its length?
Answer: (x-2)
Step-by-step explanation:
This problem is a middle-term factorization, or factoring by splitting the middle term.
We have the equation
x^2 - 18x + 32
This equation represents the area, and area = length x width for all rectangles. We also know the width, x-16, which makes it easier for us. The length must also be in the same format.
x^2 - 18x + 32
= x^2 - 16x - 2x + 32
= x(x-16) - 2(x - 16)
= (x-16) (x-2) -------> we get this through taking (x-16) common
We could also pretend that the length is x - y, where y is the number we need to finish the equation.
x^2 - 18x + 32
= (x-16) (x-y)
= x^2 -16x - xy + 16y
-16 minus 2 is -18, which is our middle term.
Therefore, y = 2. This is also verified because is 16y = 32, the constant term, then through transposing we get y = 2.
Our answer is that the length is (x-2).
HELP PLEASE will give brainliest
Answer:
This is an example of correlation because there is an obvious relationship between the two scenarios
Step-by-step explanation:
This is not cause-and-effect therefore cannot be causation or "cause"
Donna has a $300 loan through the bank she is charged a simple rate The total interest she paid on the loan was $63 As a percentage what was the annual interest rate on her loan
Answer:
21%
Step-by-step explanation:
($63*100%) / $300 = 21%
An object is launched directly in the air at a speed of 64 feet per second from a platform located 16 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+64t+16, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?
Considering the vertex of the quadratic equation, the maximum height that the object will reach is of 80 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is:
f(t) = -16t² + 64t + 16.
Hence the coefficients are:
a = -16, b = 64, c = 16.
The maximum value is found as follows:
[tex]y_v = -\frac{64^2 - 4(-16)(16)}{4(-16)} = 80[/tex]
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Jose wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house (-8, -9) and the store (-4, -10). Each unit is equal to one mile.
Answer:
4.12 miles
Step-by-step explanation:
Use distance formula
d^2 = (-8- -4)^2 + ( -9 - -10)^2
d^2 = 16 + 1
d^2 = 17
d = sqrt 17 = 4.12 miles
Use the rational zeroes theorem to write the
function in factored form and find all zeroes.
Note a = 1.
Y =x²-23x² 18x+40
The y factors of the given quadratic equation is -1 and 40/22.
According to the statement
we have given that the equation and we have to find the factors of those equation.
So, The given equation is:
[tex]Y =x^2-23x^2 + 18x+40[/tex]
where y is the factors of that equation.
So, we have to find the factors of the given quadratic equation.
[tex]x^2-23x^2 + 18x+40 = 0[/tex]
Then after solving it become
[tex]-22x^2 + 18x+40 = 0[/tex]
Then take negative sign common from it then
[tex]22x^2 - 18x - 40 = 0[/tex]
Make the factors of this quadratic equation
[tex]22x^2 + 22x -40x - 40 = 0[/tex]
Now take common values 22x and 40 from the equation then
[tex]22x (x + 1) -40 (x + 1) = 0[/tex]
Then it become
[tex](22x - 40) (x + 1) = 0[/tex]
Then the values of x become from the equation is
[tex]x = -1, x= 40/22[/tex]
The value of the factors y is -1 and 40/22.
So, The y factors of the given quadratic equation is -1 and 40/22.
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please help urgently
Answer:
2
Step-by-step explanation:
Substitute:
2(1)(3)+2 / 2(1)(3)-2 =
6 + 2 / 6 - 2 =
8 / 4 =
2.
Hey there!
2ab + 2 / 2ab - 2
= 2(1)(3) + 2 / 2(1)(3) - 2
= 2(3) + 2 / 2(3) - 2
= 6 + 2 / 6 - 2
= 8 / 4
= 2
Therefore, your answer should be: 2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
-20, 10, -5,
I need the next sequence
Answer:
The next term in the sequence is 5/2 or 2.5.
========================
Given series:
-20, 10, - 5, ...We notice that this is a geometric progression.
The common ratio is:
r = -5/10 = 10/ -20 r = - 1/2To find the next term multiply the last term by the common ratio:
[tex]t_n=rt_{n-1}[/tex]The 4th term is:
[tex]t_4=(-1/2)*(-5)=5/2=2.5[/tex]You are on the Arithmetic Reasoning section.
Q: If the following series continues the same pattern. What is the next
number in the series 1, 10, 7, 16?
Answer:
13
Step-by-step explanation:
This problem is a type of puzzle called a Number Pattern. Number patterns always follow a specific pattern. In this case, its +9, -3.
The first number in this pattern is 1.
The second number in this pattern is 10.
That is an increase of +9.
The third number in this pattern is 7
That is a decrease of -3.
The fourth number in this pattern is 16.
That is an increase of +9.
Therefore, we can conclude that the next number will have to be a decrease of -3.
16 - 3 = 13
That is your answer. I hope I helped. If you feel like this is the best answer, please rate brainliest.
A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface area that such a box can have?
The minimum surface area that such a box can have is 380 square
How to determine the minimum surface area such a box can have?Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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Question 19 (5 points) ✔ Saved
Order the following temperatures from coolest to warmest.
1
>
>
>
>
3°C
-7°℃
2°F
262 K
Question 20 (5 points)
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
According to the statement
we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.
So, For this purpose,
The given values of temperatures are:
3°C , -7°C , 2°F, 262 K
Firstly convert into one form
So, convert all values in Celsius form,
3°C = 3°C
-7°C = -7°C
2°F = -16.7°C
262 K = -11.15°C
Now arrange into the order from coolest to warmest
So, it will become
-16.7°C > -11.15°C > -7°C > 3°C
So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.
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