Answers
Answer:
1) 8
2) 3
3) 4
4) 5
5) 6
6) 2
7) 1
8) 18
Step-by-step explanation:
whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2, which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three
Related Questions
Using inductive reasoning, what is the most reasonable conjecture for the number of triangles in the eighth figure in the pattern? Enter your answer as a number.
Answers
The most reasonable conjecture for the number of triangles in the eighth figure in the pattern is that there are 8 triangles in the eighth figure in the pattern
How to determine the most reasonable conjecture for the number of triangles in the eighth figure in the pattern?The given figure represents the given parameter
From the figure, we have the following parameters
Pattern 1 = 4 trianglesPattern 2 = 6 trianglesPattern 3 = 8 trianglesWhen represented as a sequence, we have the following terms
4, 6, 8.....
The above sequence represents an arithmetic sequence with the following properties
First term, a = 4
Common difference, d = 2 i.e. 6 - 4
The most reasonable conjecture for the number of triangles in the eighth figure in the pattern is calculated by the following arithmetic sequence formula
Tn = a + (n - 1) * d
So, we have
T8 = 4 + (8 - 1) * 2
Evaluate
T8 = 18
Hence, the most reasonable conjecture for the number of triangles in the eighth figure in the pattern is that there are 8 triangles in the eighth figure in the pattern
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Leila got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13 cents per yard. If after that purchase there was $8.63 left on the card, how many yards of ribbon did Leila buy?
_____yards
Answers
If 13 cents per yard is the price, and there was $8.63 left on the card, the yards of ribbon Leila bought is 49 yards of ribbon.
How to solve for the amountTo determine the number of yards of ribbon Leila bought, we need to calculate the difference between the initial balance on the prepaid debit card and the remaining balance after the purchase.
Initial balance: $15.00
Remaining balance: $8.63
The difference between these two amounts represents the amount spent on the ribbon:
$15.00 - $8.63 = $6.37
Now, we can calculate the number of yards of ribbon by dividing the amount spent by the price per yard:
$6.37 / $0.13 = 49
Therefore, Leila bought 49 yards of ribbon.
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A figure is transformed by T(x, y) = (x+3, y-1) and then transformed by S(x-3, y + 1). How does the preimage relate to the final image? please show work sorry
Answers
Answer: The preimage and final image are the same point
This applies to every point in the xy plane.
======================================================
Explanation:
Let's say we started with the example point of (5,7)
Put the coordinates of the point into the T(x,y) transformation
We'll replace every x with 5 and every y with 7
So,
T(x, y) = (x+3, y-1)
T(5, 7) = (5+3, 7-1)
T(5,7) = (8, 6)
What does this mean? It means that the original preimage point (5,7) moves to (8,6). This is a shift of 3 units right and 1 unit down.
------------------
Now we'll plug the coordinates of that result, the (8,6), into the transformation of S(x, y) = (x-3, y + 1)
Plug in x = 8 and y = 6 to get...
S(x, y) = (x-3, y + 1)
S(8, 6) = (8-3, 6 + 1)
S(8, 6) = (5, 7)
We have gone from (8,6) to (5,7). We're back where we started.
The second transformation of (x-3, y+1) shifts 3 units left and 1 unit up. Notice both of these undo the original "3 units right and 1 unit down" from earlier. So this is why we get back to the starting point. It's not a coincidence.
Therefore, transformation T and transformation S are inverse transformations of one another. They undo each other. It's like taking a step forward (transformation T) and then taking a step back (transformation S)
In terms of algebra, it's like how multiplication and division are inverses of each other.
As you can probably guess, there's nothing particularly special about (5,7). I chose two random numbers. Pick whatever two favorite numbers you want for x and y. Plug them into T(x,y) and then whatever that result is, plug it into S(x,y) to notice you should get back to your original choice of (x,y). I recommend GeoGebra as a useful tool to help with geometric transformations.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Answers
Answer:between 28000 km and 32000 km
Step-by-step explanation:
After a storm, Michael measured 6 inches of
snow. What is this amount as a decimal?
Answers
Answer:
0.5 feet of snow
Step-by-step explanation:
6 inches is half of a foot because 1 foot = 12 inches.
6 inches / (12 inches / 1 foot) = 0.5 feet of snow
Which expression could represent the product of 15 and the quantity 12 more than the number of wailles?
Use w-4 to solve once you have the correct expression! Does your expression make sense????
a. 15+12-w
bw(15+12)
45(w+12)
d. 15-12+w
Answers
15x+180 is the required expression. Let the number be 'x'. For more than we would use addition.
A mathematical expression is the collection of mathematical symbols that results from the valid combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the expression 2x + 3, which translates to 2x times plus 3.
Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.
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How to find the slope intercept form for the equation of the line through (5,1) and (3,-7)
Answers
[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{5}}} \implies \cfrac{-7 -1}{3 -5} \implies \cfrac{ -8 }{ -2 }\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{4}(x-\stackrel{x_1}{5})[/tex]
[tex]y-1=4x-20\implies y=4x-19\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Evaluate x + y when x = -3/8 and y = 7/12.
Answers
Answer:
Solutions: x=1.
Step-by-step explanation:
Select all equations that are equivalent to -8x - 6 15. 2 - (Select all that apply.) 4x+3= 15 -4x-3=15 8x+6=30 (-4x - 3) = 15 — − ½ ( 8x + 6) = 15 -
Answers
Needed help asap please and thank you so much !
Answers
Step-by-step explanation:
based on the story told I expected completely different questions.
but for the actually asked question the whole thing about gaining our not gaining weight is competent irrelevant. ignore it.
so, all we need to do is looking at the row totals.
27.4% of the participants took 1 vitamin.
49.5% of the participants took more than 1 vitamin.
so, 49.5% + 27.4% = 76.9% of all participants are taking vitamins in some form.
therefore, the second answer option is correct.
In a particular class of 26 students , 13 are men. What fraction of the students in the class are women?
Answers
Answer:
1/2
Step-by-step explanation:
Since 13+13= 26 we know that 13 or 1/2 are girls
Shelby measured the volume of a cylinder and determined it to be 58.8 cm³. The teacher told her that she
was 4.98% too high in her determination of the volume. What is the actual volume of the cylinder?
Answers
The actual volume of the cylinder is 61.73 cm³
Percentage error is the error introduced in a measurement. The formula for the error is given as :
Error = Percentage error * measured volume
According to the question we have been given that
determined volume of cylinder = 58.8 cm³
Percentage error = 4.98%
thus, error = 4.98% * 58.8
= 0.0498 * 58.8
= ±2.93 cm³
The formula for the actual volume is given as
Actual volume = measured volume ± error
= 58.8 ± 2.93 cm³
As the error is high we will do addition we get
= 58.8 + 2.93 cm³
= 61.73 cm³
hence the actual volume is 61.73 cm³
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Four friends went scuba diving today. Ali dove 70 feet, Tim went down 50 feet, Carl dove 65 feet, and Brenda reached 48 feet below sea level. Write the 4 friends’ names in order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface.
Answers
The orders from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:
Brenda < Tim < Carlton < Ali
Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1, 2, 3, 4, 5, 6, 7, 8… and so on.
If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In other words, if the numbers are arranged from the largest to the smallest number, it is said to be in descending order.
We can write, four friends went scuba diving today,
Ali dove = 70 feet,
Tim went down = 50 feet,
Carl dove = 65 feet,
Brenda reach = 48 feet below sea level.
To determine the order from the person whose death was closest to the surface to the person whose death was the farthest from the surface.
Arrange in ascending order of distance from sea level.
Brenda < Tim < Carlton < Ali
48feet < 50 feet < 65 feet < 70 feet
Therefore,
The order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:
Brenda < Tim < Carlton < Ali.
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Perimeter of the computer chip. Length 7.18×10⁻⁷ meters, width 3.4×10⁻⁹ meters
Answers
Perimeter of computer chip = 14.428 * ( [tex]10^{-7}[/tex] ) meters .
Given : length = 7.18×10⁻⁷ meters
breadth = 3.4×10⁻⁹ meters
To find = perimeter of computer chip
Formula for perimeter of a rectangle :
Perimeter = 2 ( length + breadth )
Calculations :
Perimeter = 2 [ ( 7.18×10⁻⁷ ) + ( 3.4×10⁻⁹ ) ]
On simplifying ,
= 2 [ [tex]10^{-7}[/tex] ( 7.18 + 0.034 )
= 2 [ [tex]10^{-7}[/tex] ( 7.214 ) ]
= 14.428 * ( [tex]10^{-7}[/tex] ) meters
Hence , perimeter = 14.428 * ( [tex]10^{-7}[/tex] ) meters .
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Complete the table by dragging the correct sequence or formula to the correct container.
Sequence
Recursive Formula
0, 4.5, 9, 13.5, 18,
[Container 3]
[Container 5]
[Container 1]
anan-1-11; a₁ = 68
[Container 6]
12, 19, 33, 40...
Explicit Formula
[Container 2]
[Container 4]
an=5+7n
68, 57, 46, 35, 24,
an=-4.5+ 4.5n
Container 1 Container 2
Container 3
an = 79-11n
Container 4
anan-1+4.5; a₁ = 0 anan-1
Container 5 Container 6
-1+7; a₁ = 12
Answers
The following are the results:
[container 1] = aₙ = aₙ₋₁ ₊ 4.5 ; a₁ = 0
[container 2] = aₙ = ₋4.5 ₊ 4.5n
[container 3] = 68 , 57 , 46 , 35 , 24, ..
[container 4] = aₙ = 79 ₋ 11n
[container 5] = 12 , 19 , 33 , 40
[container 6] = aₙ = aₙ₋₁ ₊ 7; a₁ = 12
Given the sequence is : 0,4.5,9,13.5,18,..
recursive formula = aₙ=a₍ₙ₋₁₎+4.5 where a₁ = 0
Explicit formula = aₙ = a₁ ₊ (n ₋ 1)4.5
= 0 ₊ (n ₋ 1)4.5
aₙ = ₋4.5 ₊ 4.5n
b. given, we have recursive formula: aₙ = aₙ₋₁ ₋ 11 ; a₁ = 68
here we have the common difference as 11, and the initial term is 68.
hence the sequence will be 68 , 57 , 46 , 35 , 24, ..
Explicit formula = a₁ ₊ (n ₋ 1)11
aₙ = 68 ₊ 11n ₋ 11
aₙ = 79 ₋ 11n
c. the explicit formula is given, aₙ = 5 ₊ 7n
here we have the common difference as 7.
so the sequence is 12,19,33,40
and the recursive formula is aₙ = aₙ₋₁ ₊ 7; a₁ = 12
Hence we get the acquired results.
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5:2:11=x:6:y
(that ratio btw)
Answers
Answer:
9=11
Step-by-step explanation:
. Jason pays $3.60 for 2 bottles of
water. What is the unit price of each bottle?
Answers
Do the 3 lengths form a triangle? 5, 17, 29 *
yes or no
Answers
Answer:
No they do not because it does not qualify for a triangle due to the extreme differences in messurments
Step-by-step explanation:
Find the equation of the line through (7,−2) which is parallel to the line y=−x−4.
Give your answer in the form y=mx+b.
Answers
Answer:
y = -x + 5
Step-by-step explanation:
Parallel lines have the same slope, so the slope of the line we need to find is -1. Substituting into point-slope form, we get the equation to be
[tex]y+2=-(x-7)[/tex]
which rearranges into slope-intercept form as follows:
[tex]y+2=-x+7 \\ \\ y=-x+5[/tex]
Answer:
y=-x+5
Step-by-step explanation:
evaluate this please
Answers
Answer:
32⅘
(using indices)
32 = 2⁵
= 2⁵ × 1⅘
= 2²⁰
⁵
= 2⁴ = 16
Drag the tiles to the boxes to form correct pairs.
Multiply the pairs of numbers, and match them with their products.
Answers
The expressions matched with their correct pairs is
(-8)(-2.2) → 17.6
(-3.4)(5) → -17
(-9.5)(-2) → 19
(3.8)(-5) → -19
From the question, we are to match the tiles to the boxes to form correct pairs
To do this, we will simplify the expressions
(-8)(-2.2)Multiplying
-8 × -2.2
= 17.6
(-3.4)(5)Multiplying
-3.4 × 5
= -17
(-9.5)(-2)Multiplying
-9.5 × -2
= 19
(3.8)(-5)Multiplying
3.8 × -5
= -19
Hence, the expressions matched with their correct pairs is
(-8)(-2.2) → 17.6
(-3.4)(5) → -17
(-9.5)(-2) → 19
(3.8)(-5) → -19
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The people go to a restaurant. Their bill comes to $78.00. They decide to split the cost. One person pays 4.50 the next person pays 3 time that amount. How much will the their person have to pay
Answers
Answer:
13
Step-by-step explanation:
u multiply 4.50 x 3 it makes it 13.5 so they basically need to pay more .
I need help with this algebra problem
Answers
The mean of all ninth grader's scores in the city is 80.32
Calculating meanFrom the question, we are to determine the mean score for all ninth graders in the city
From the given information,
Mariner High school
Mean score is 75 and the frequency is 265
Everett High school
Mean score is 90 and the frequency is 326
Jackson High school
Mean score is 69 and the frequency is 154
Thus,
The mean score for all ninth graders
= (265×75 + 326×90 + 154×69)/ (265 + 326 + 154)
= (19875 + 29340 + 10626)/745
= 59841/745
= 80.32
Hence, the mean is 80.32
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the equation of the line parallel to y=-X+11 through the point (-3,5)?
Answers
Step-by-step explanation:
I guess the result is needed again in slope-intercept form.
this is in general
y = ax + b
"a" being the slope, "b" being the y-intercept (y value when x = 0).
when a line is parallel to another line, this means they both have the same slope.
so, we can use the same "a" from the original line : -1
to get "b" we use the given point coordinates :
5 = -1×-3 + b = 3 + b
2 = b
so, the full equation is
y = -x + 2
Solve the equation 3y + 17 = −2y + 25 for y
Answers
Answer:
y = 8/5
Terms:
3y, -2y, y
Leading term:
3y
Step-by-step explanation:
Subtract by 17 from all sides
[tex]3y+17-17=-2y+25-17[/tex]
Simplify
[tex]3y=-2y+8[/tex]
Add term 2y
[tex]3y+2y=-2y+8+2y[/tex]
Simplify further
[tex]3y + 2y = 5y\\= 5y\\5y = 8[/tex]
Divide all sides by 5
[tex]\frac{5y}{5}=\frac{8}{5}[/tex]
Cancel the current leading term, 5y, simplify one last time
[tex]y=\frac{8}{5}[/tex]
Answer:
y = [tex]\frac{8}{5}[/tex] or [tex]1\frac{3}{5}[/tex] or [tex]1.6[/tex] ✅
Step-by-step explanation:
[tex]3y+17=-2y+25[/tex]
⬆️
Move the variable to the left-hand side and change its sign
⬇️
[tex]3y+17+2y=25[/tex]
⬆️
Move the constant to the right-hand side and change its sign
⬇️
[tex]3y+2y=25-17[/tex]
⬆️
Collect like terms
⬇️
[tex]5y=25-17[/tex]
⬆️
Subtract the numbers
⬇️
[tex]5y=8[/tex]
⬆️
Divide both sides of the equation by 5
⬇️
[tex]\frac{5y}{5} =\frac{8}{5}[/tex]
⬇️
Solution
[tex]y=\frac{8}{5}[/tex] ✅
Alternative form
[tex]y=1\frac{3}{5} , y=1.6[/tex] ✅
I hope this was helpful!
Have a blessed day! (✿◠‿◠)
K
A bus traveled on a level road for 3 hours at an average speed 20 miles per hour faster than it traveled
on a winding road. The time spent on the winding road was 5 hours. Find the average speed on the
level road if the entire trip was 420 miles.
The bus's speed on the level road was
mph.
Answers
Answer: the bus's speed on the level road was 65 milles per hour
Step-by-step explanation:
Let the bus's speed on the level road is x mph
Hence, the bus's speed on the winding road is (x-20) mph
Thus,
3(x)+5(x-20)=420
3x+5x-100=420
8x-100=420
8x-100+100=420+100
8x=520
Divide both parts of the equation by 8:
x=65 mph
From the sample space S = {1, 2, 3, 4,.... 15) a single number is to be selected at random. Given the following events, find the indicated probability.
A: The selected number is even.
B: The selected number is a multiple of 4.
C: The selected number is a prime number.
P(CIA)
Answers
The probability that the selected number is even is 7/15.
The probability that the selected number is a multiple of 4 is 1/5.
The probability that the selected number is a prime number is 2/5.
How to illustrate the information?Based on the information illustrated, the following can be deduced:
Even numbers = 2, 4, 6, 8, 10, 12, 14.
Multiple of 4 = 4, 8 and 12.
Prime numbers = 2, 3, 5, 7, 11, and 13.
Therefore, the probability that the selected number is even will be:
= 7/15.
The probability that the selected number is a multiple of 4 is:
= 3/15 = 1/5.
The probability that the selected number is a prime number is:
= 6 / 15
= 2/5.
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Which expression is equal to (-3- i)+ (5 +6i)?
A.2 +5i
B. -7
C.-4+11i
D.77
Answers
Answer:
A
Step-by-step explanation:
[tex](-3-i)+(5+6i) \\ \\ =-3-i+5+6i \\ \\ =2+5i[/tex]
If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?
Answers
Based on the transformaion of point A, the coordinate of the point she would end up is (3, -4)
How to determine the point she would end up?The complete question is added at the end of this solution
From the question, we have the following point
Starting point = (-3, 5)
The movement is given as
9 units down and 6 units to the right
The above can be represented mathematically as
(x, y) = (x + 6, y - 9)
When the above translation is applied on point A, we have the following equation
A' = (-3 + 6, 5 - 9)
Evaluate the sum and he difference in the above equation
A' = (3, -4)
Hence, the coordinate of the point she would end up is (3, -4)
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Complete question
The coordinates (the x- and y-values) for point A are (−3, 5).
If Samantha moved point A 9 units down and 6 units to the right, at what point would she end up?
A person earns 16000 one year and gets a 5% raise in salary. What is the new salary?
Answers
Answer:
The new yearly salary is $16,800
Step-by-step explanation:
Amount of raise.
5% = 0.05
Multiply the original salary times the percentage of the raise.
$16000 * 0.05 = $800
New salary .
$16000 + $800 = $16,800
One-step Solution
$16000+($16000 * 0.05) =$16,800