Answer:
Step-by-step explanation:
Remark
First take a look at A. It is a pretty good idea always to write the formula you are using before you begin a solution and go step by step from the formula. Also write your givens. I know it sounds like a lot of work. It really isn't. You are creating a habit.
Givens
n = 8
Sn = ?
d = -6
a = 90
Formula
S8 = a + (n - 1)*d
Solution
s8 = 90 + (8-1)*-6
s8 = 90 + 7 * -6
S8 = 80 - 42
S8 = 38
Part B
Here's where the formula is your friend. Let's suppose it is. Then solve for n. If we get an integer for the term number, then all is well. If we don't, and we get some kind of fraction, then 5 is not a member of the sequence.
Givens
Sn = 5
n = ?
d = -6
Formula
Sn = a + (n - 1)*d
Solution
5 = 90 + (n - 1)*-6 Subtract 90 from sides
5-90 =90-90 +(n - 1)*-6 Combine
-85 = (n -1)*-6 Divide by - 6
-85/-6 = (n - 1)-6/-6
14 1/6 = n - 1 Add 1 to both sides
14 1/6 +1 = n - 1 + 1 Combine
15 1/6 = n
But a fraction is not permitted. So 5 is not a member of the sequence
Joseph built a sandbox in his backyard that is 2 meters wide, 4 meters long, and 2 meters tall. What volume of sand does he need to completely fill the sandbox?
A) 20 cubic meters
B) 16 cubic meters
C) 8 cubic meters
D) 12 cubic meters
Answer: B) 16 cubic meters
Step-by-step explanation:
To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.
Answer:
the answer would be 16 cubic meter because l*w*t which is because l*w*t which is 4*2*2
HELPPPP this is 7TH grade math and I don’t understand
Answer:
B.3x+8=66
Step-by-step explanation:
i think ito po Ang answer hehehe
Part A
x = some unknown number
x+8 = add on 8 to the number
3(x+8) = triple the previous result
Therefore, one equation to set up is 3(x+8) = 66
This is the same as 3x+24 = 66 because 3(x+8) = 3x+3*8 = 3x+24. Use the distributive property to multiply that outer 3 to each term inside.
Answers:C) 3x+24 = 66
D) 3(x+8) = 66
============================================================
Part B
Let's solve for x. I'll show the steps for each equation mentioned. When you write out the steps, you probably only need to pick one equation to solve.
3(x+8) = 66
x+8 = 66/3
x+8 = 22
x = 22-8
x = 14
Or
3x+24 = 66
3x = 66-24
3x = 42
x = 42/3
x = 14
Either way, we get the same x value. To confirm this answer, replace x with 14 in either equation and simplify fully. You should get 66 on both sides.
Answer: x = 14A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password must end with a number, how many possibilities are there? a. 175,760 b. 158,184 c. 156,000 d. 140,400 please select the best answer from the choices provided a b c d
We will see that there are 156,000 different combinations, so the correct option is C.
How many possibilities are there?
First, we need to find the selections, here we have:
First letter.Second letter.Third letter.Number.Now we need to find the number of options for each of these selections.
First letter. (26 options)Second letter. (25 options, because we can't repeat letters)Third letter. (24 options)Number. (10 options).We assumed that the number can be any integer from 0 to 9.
The total number of possibilities is equal to the product between the numbers of options, we will have:
P = 26*25*24*10 = 156,000
So, the correct option is C.
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What is the area of adef with vertices d(-1,-5), e(4.-5),
and f(4,7)?
Answer:
Step-by-step explanation:
30 square unit is the area of the triangle DEF.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.We can use the coordinates of the three vertices of the triangle to find the length of its base and height, and then use the formula for the area of a triangle.
The base of the triangle is the line segment from point E to point F, which has a length:
|EF| = √[(4-4)^2 + (7-(-5))^2] = √(0^2 + 12^2) = 12
The height of the triangle is the perpendicular distance from point D to the line containing the base, which is the horizontal line y = -5.
Therefore, the height of the triangle is the vertical distance from point D to the line y = -5, which is 5 units.
The area of the triangle is then:
Area = (1/2) x (base) x (height)
= (1/2) x 12 x 5
= 30 square units.
Therefore, the area of triangle DEF is 30 square units.
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3. Carmen received the following
scores on her last six homework
pages: 23, 24, 20, 19, 19, and 21.
What is Carmen's average
homework score?
A 19
8 20
C 21
D 22
Сот
"A
1
A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital. What does a large standard deviation on all the answers tell the researcher about the research sample
A large standard deviation means the view of the people is very dispersed and not near the mean or not similar.
What is the meaning of Standard Deviation ?Standard deviation is a very important terminology in Statistics which help to study dispersion of data from the mean
A lower value of standard deviation means the data is accumulated near the mean while a higher value means the data is dispersed in the entire range.
It is given in the question that
A researcher conducts a written survey to determine the opinion of subjects regarding their opinion of the favorability of a certain hospital.
The standard deviation value for the sample is large
A large standard deviation means the view of the people is very dispersed and not near the mean or not same.
There will be difference in the opinion as they deviate from the central value.
To know more about Standard Deviation
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help! Solve each triangle (find all missing sides and angles) Round each answers to the nearest tenth
Answer:
D.
Step-by-step explanation:
sin 67 = b / 2.4
b = 2.4 sin 67
= 2.2
cos 67 = a / 2.4
a = 2.4 cos 67
= 0.9
M < A = 90-67 = 23 degrees.
I always have trouble with this
Answer:
[tex]\sqrt{64} < \sqrt{72} < \sqrt{81}[/tex]
Step-by-step explanation:
The closest perfect squares to 72 would be 81 and 64. Therefore, the square root of 72 must be between 8 and 9.
in 130,426 the digit 2 is in the _____ place?
How would you write this expression as a sum or difference?
The provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have:
[tex]= \rm log_3(\sqrt[5]{x} . y)[/tex]
As we know:
log(mn) = logm + logn
logmⁿ = nlogm
[tex]= \rm log_3({x^{\dfrac{1}{5}}} . y)\\\\= \rm log_3({x^{\dfrac{1}{5}}} )+log_3 (y)\\\\= \rm \dfrac{1}{5}log_3({x^{}} )+log_3 (y)\\\\[/tex]
Thus, the provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.
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PLEASE HELP
Factor completely 2x3 + 6x2 + 2x + 6.
O 2[(x + 3)(x2 + 1)]
• (2x + 6)(x2 1)
O (x + 3)(2x2 + 2)
O 2(x3 + 3x2 + x + 3)
Answer:
A. 2(x+3)(x^2+1)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The given expression is
Taking out the common factor.
The complete factor form of given expression is . Therefore the correct option is A.
solve the equation
2x+9y=11
3x+8y=18
Using Elimination Method:
[tex]2x + 9y = 11 \\ 3x + 8y = 18 \\ 3(2x + 9y = 11) =( 6x + 27y = 33 )\\ - 2(3x + 8y = 18) = ( - 6x- 16y = - 36) \\ 11y = - 3 \\ y = \frac{ - 3}{11} \\ 2x + 9( \frac{ - 3}{11} ) = 11 \\ 2x - 9( \frac{3}{11} ) = 11 \\ 2x - \frac{27}{11} = 11 \\ 2x = 11 + \frac{27}{11} \\ 2x = \frac{121 + 27}{11} \\ 2x = \frac{148}{11} \\ 2x \div 2 = \frac{148}{11} \div 2 \\ x = \frac{74}{11} \\ x = \frac{ - 3}{11} \\ y = \frac{74}{11} [/tex]
7. Refer to the bar chart in question 6. Which age group recorded the highest number of children
Answer:
The age group that recorded the highest number of children is 7.
Step-by-step explanation:
We can clearly can see from the graph, that the 7 year old age group has 5 children, which is more than the rest of the age groups.
Hope this helps:) Goodluck!
An equations that has zero POI with 2x -6y = 12
(must have different values)
Answer: Y= 1/3x - 2
Step-by-step explanation:
PLEASE I NEED THIS RN!!!
Answer:
Increasing then decresing
Step-by-step explanation:
the graph is going up then down so therefore it is increasing then decresing.
Answer:
The left side of the parabola is increasing to the maximum, shown on the graph to be (3,6). Then, the right side is decreasing from the max point. The parabola opens down, which means it increases, then decreases.
Step-by-step explanation:
Always decreasing would mean it took a more linear shape, which this parabola is not doing. It is also not always increasing, because some x,y points are graphed on that curve which go from the center (0,0) to (3,6) back down to (6,0).
6 of 6
An equilateral triangle with side length 17 cm is shown in the
diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.
The diagram is not drawn accurately.
cm²
Answer:
125.1 cm^2 to 1 D.P.
Step-by-step explanation:
We could use Heron's formula to do this
Area = √(s(s-a)(s-b)(s-c) ) where s is the semi-perimeter and a b and c are the lengths of the 3 sides
So we have:
s = (17+17+17) / 2 = 25.5
and Area = √(25.5)(25.5 - 17)^3)
= √15660.1875
= 125.14 cm^2
explain how to correctly find the missing side
if correct, will mark brainlist :))
asap could really use someones help
Apply Pythagorean theorem
P²=H²-B²P²=13²-4²P²=169-16P²=153P=√153P=3√17Ali is playing computer solitaire. He tallies the number of times he wins and loses.
A. Use Ali’s results to estimate the probability of him winning the next solitaire game.
B. How could Ali improve the accuracy of his estimate.
Answer:
use ali result to estimate the probability of him winning the next solitaire game
If a positive is subtracted from a negative, will the answer be true or false. ans:true
Answer:
It depends. If the negative number is greater than the positive, the answer is true. Otherwise, false.
Select the correct answer from each drop-down menu. determine the number of real solutions for each of the given equations. equation number of solutions y = -3x2 x 12 y = 2x2 - 6x 5 y = x2 7x - 11 y = -x2 - 8x - 16
It should be noted that in the equation y = -3x² + x + 12, there are two real solutions.
How to calculate the real solutions?It should be noted that the number of real solutions of a quadratic equation is represented by y = ax² + bx - c.
In the equation, equation y = -3x² + x + 12, the coefficients are a = -3, b = 1 and c = 12. The discriminant will be:
= 1² - 4(-4)(12)
= 145
It is positive, therefore, it has two solutions.
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Simplify
[tex]\sqrt{81-18\sqrt{7}+7 }[/tex]
Answer:
The given equation is expansion of (a-b)² = a²-2ab+b²
[tex]\sqrt{81-18\sqrt{7}+7} \\ \sqrt{ {9}^{2} -2 \times 9 \times \sqrt{7}+ { \sqrt{7} }^{2} } \\ \sqrt{ {(9 - \sqrt{7})}^{2} } \\ {(9 - \sqrt{7})}[/tex]
hope that help.
Answer:
[tex]9-\sqrt{7}[/tex]
Step-by-step explanation:
Given expression: [tex]\sqrt{81-18\sqrt{7}+7}[/tex]
To simplify the given expression, use the "A minus B Whole Square" identity.
A minus B Whole Square identity
[tex](a-b)^2=a^2-2ab+b^2[/tex]
Comparing [tex]81-18\sqrt{7}+7[/tex] to the right side of the identity:
[tex]a^2=81 \implies a=\sqrt{81}=9[/tex][tex]b^2=7\implies b=\sqrt{7}[/tex][tex]-2ab=-18\sqrt{7}=-2 \cdot 9\sqrt{7}[/tex]Therefore:
[tex](9-\sqrt{7})^2=81-18\sqrt{7}+7[/tex]
Finally:
[tex]\sqrt{81-18\sqrt{7}+7}=\sqrt{(9-\sqrt{7})^2}=9-\sqrt{7}[/tex]
Please help me thanks!!!!!!!
Answer:
See below ~
Step-by-step explanation:
Subpart (a) :
⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)
⇒ Surface area = 2(12 + 20 + 15)
⇒ Surface area = 2(47)
⇒ Surface area = 94 in²
===============================================================
Subpart (b) :
⇒ Volume = 3 × 4 × 5
⇒ Volume = 12 × 5
⇒ Volume = 60 in³
=============================================================
Subpart (c) :
⇒ New surface area = 2 x 94
⇒ New surface area = 188 in²
=============================================================
Subpart (d) :
⇒ New : Original
⇒ 188 : 94
⇒ 2 : 1
question 4. evaluate the expression [tex]-6^3[/tex]
Answer:
The answer would be ~30~ because 2*2^3 = 2^4= 16 then 3*6=18 then 16+18-4=30
Hope this helps
Have a great day/night
Answer ~
whenever we see an expression in the form of [tex]x^{n}[/tex] we have to multiply x to itself " n " times !
here in the question ,
we're given with the expression ( - 6³ )
so ,
[tex] - 6 {}^{3} = - 6 \times - 6 \times - 6 \\ \dashrightarrow \: - 216[/tex]
hope helpful ~
Help its due 11:59 and I am stuck please help i give brainiest
Answer:
188 cubic yards
Step-by-step explanation:
there are two ways to solve for this problem the first is to use the given numbers to find the missing one, then seperate the two cuboids and solve for their volumes independently, and finally add
the second way is too make one complete rectangular prism and simply find out the volume of the missing side and subtract that from the whole
Find the x-intercept and the y-intercept.
3x-2y=6
Show work to get Brainliest
Answer:
There are several different ways to get the x-intercept and y-intercept of an equation. The way that I usually do it is setting one of the variables to zero and finding what the other variable is equal to. For example, if we set x to 0 that means that we are finding the y-intercept as the value of x is 0 which is the y-axis. This is also how it works when setting y to 0. First lets find the x intercept by setting y to 0.
[tex]3x - 2y = 6[/tex]
[tex]3x - 2(0) = 6[/tex]
[tex]\frac{3x}{3} = \frac{6}{3}[/tex]
[tex]x = 2[/tex]
We now know that the x-intercept is 2 and now we need to determine what the y-intercept is. Now we can just set the x to 0 and find the y-intercept.
[tex]3x - 2y = 6[/tex]
[tex]3(0) - 2y = 6[/tex]
[tex]\frac{-2y}{-2} = \frac{6}{-2}[/tex]
[tex]y =- 3[/tex]
Therefore, we know that our x-intercept is (2, 0) and our y-intercept is (0, -3) because the first spot in the coordinate pair is the x-value and the second one is the y-value.
Hope this helps
why is 64006 not a perfect square
Answer:
This might not be the best answer but here goes:
A perfect square has to be a number that is expressed by 2 of the same integer multiplied by each other.
To check if a number is a perfect square, you find the square root of it. 64006 does not have a whole square root, meaning it is not a perfect square number. Its square root is:
252.9940711... (very close but not quite whole)
1. A perfect square number always has its square root to be a whole number. But, the square root of 64006 is is 252.99407... (not whole), so it is not a perfect square.
2. A perfect square number can only be written as the product of 2 odd numbers or 2 even numbers. But, 64006 can be written as 32003 x 2 -> NOT a perfect square.
Casper collected 108 old baseball cards. He then bought new baseball cards to increase his collection by 25%. How many new baseball cards did he buy?
Answer:
27
Step-by-step explanation:
what I did is used a calculator and did 108 x 0.25 (25% as a decimal)
Simple probability maze
To solve a simple probability maze calculate the probability in each situation and move through the maze based on these answers.
What is simple probability?This refers to the chances an event happens out of the total outcomes or number of favorable events/ total events.
How to solve a simple probability maze?In this type of maze, you are requested to find the probability of different events and based on this, you can follow a specific pattern to get out of the maze. Due to this, to solve the maze:
Calculate the probability of the first event. For example, the changes of rolling a 6 on the dice. 1 /6 (the dice has 6 sides) = one sixth or 0.166.Now that you have the correct answer move through the direction of that answer, which will take you to another situation.Keep calculating the probabilites and moving based on the answers.Learn more about probability in: https://brainly.com/question/11234923
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What is the solution to the equation below?
√x-4=x-10
Answer:
[tex]x=13[/tex]
Step-by-step explanation:
Step 1: Isolate the square root on the left hand side
Radical already isolated
√x-4 = x-10
Step 2: Eliminate the radical on the left hand side
Raise both sides to the second power
(√x-4)2 = (x-10)2
After squaring
x-4 = x2-20x+100
Step 3: Solve the quadratic equation
Rearranged equation
x2 - 21x + 104 = 0
This equation has two rational roots:
{x1, x2}={13, 8}
Step 4: Check that the first solution is correct
Original equation
√x-4 = x-10
Plug in 13 for x
√(13)-4 = (13)-10
Simplify
√9 = 3
Solution checks !!
Solution is:
x = 13
Step 5: Check that the second solution is correct
Original equation
√x-4 = x-10
Plug in 8 for x
√(8)-4 = (8)-10
Simplify
√4 = -2
Solution does not check
2 ≠ -2
One solution was found :
x = 13
Which of the following equations is not a linear equation?
x + y = 4
B. 2x – y = 1
C. x 3=2
D. y = 4
Answer:
C
Step-by-step explanation:
A linear equation consists of Ax+By=C
That is the only one without that kinda format
Answer:
The Answer Is C
Step-by-step explanation: