Answer:
the slope, m, is 35 and the y-intercept, b, is -45
Step-by-step explanation:
Here we don't need to use f(x) at all.
h(x) = -5(-7x + 9) becomes h(x) = 35x - 45. From this last result we see that the slope, m, is 35 and the y-intercept, b, is -45.
2.2x-10=0.2x +14 and -4x+5=x-5
Answer:x=12 and x=2
Step-by-step explanation:
2.2x-10=0.2x+14
2.2x-10-(0.2x+14)=0
2.2x-0.2x-14-10=0
2x-24=0
2x=24
x=24/2
x=12
-4x+5=x-5
-4x+5-(x-5)=0
-4x-x+5+5=0
-5x+10=0
-5x=-10
x=-10/-5
x=2
HELP PLEASE ASP (15 POINTS)
The areas for the figure are given as follows:
Rectangle: 144 in².Triangle: 120 in².Total: 264 in².How to obtain the area of the figure?The figure is a composite figure, hence the total area of the figure is given by the sum of the areas of each part that compose the figure.
The area of the rectangle is given by the multiplication of it's dimensions, hence:
Ar = 9 x 16 = 144 in².
The area of the triangle is given by half the multiplication of the base of 16 in by the height of 15 in, hence:
At = 0.5 x 16 x 5 = 120 in².
The total area of the figure is given by the sum of the areas of each part of the figure, hence:
144 + 120 = 264 in².
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Card sort rational numbers: order from least to greatest. NOTE: (I need the correct answer for an assignment.)
10, 15, 8, 23, 11, 5, 3, 22, 2, -1, -3, -7.7, -23, -22 3/8, -7, -8/3, -1/4, 9/8, -31/3, -6, -2.5, 0, -10, -5 5/6, -2, 1, -9, -4, -1.125, 1/4, 2.5, 8/3, 22 3/8, 31/3, 5 5/6, and 7.7
Answer:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Showing Work
Using the given inputs:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
Rewriting these inputs as decimals:
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22 3/8 -7 -8/3 -1/4 9/8 -31/3 -6 -2.5 0
10 15 8 23 11 5 3 22 2 -1 -3 -7.7 -23 -22.375 -7 -2.666667 -0.25 1.125 -10.333333 -6 -2.5 0
Sorting this table by decimal values in order from least to greatest:
-23 -22 3/8 -31/3 -7.7 -7 -6 -3 -8/3 -2.5 -1 -1/4 0 9/8 2 3 5 8 10 11 15 22 23
-23 < -22.375 < -10.333333 < -7.7 < -7 < -6 < -3 < -2.666667 < -2.5 < -1 < -0.25 < 0 < 1.125 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Therefore, the sorted inputs in order from least to greatest is:
-23 < -22 3/8 < -31/3 < -7.7 < -7 < -6 < -3 < -8/3 < -2.5 < -1 < -1/4 < 0 < 9/8 < 2 < 3 < 5 < 8 < 10 < 11 < 15 < 22 < 23
Step-by-step explanation:
Which recursive sequence would produce the sequence 4 , − 6 , 4
The recursive sequence that produces the sequence 4, -6, 4 is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
What is the meaning if recursive?In mathematics, a recursive sequence or function is one where each term or value is defined in terms of the previous one or ones. The term "recursive" comes from the word "recursion," which means to repeat or iterate.
A recursive sequence is often defined by a recursive formula or rule, which gives a formula for each term in terms of the previous ones. For example, the Fibonacci sequence is a b sequence where each term is the sum of the two previous terms.
To generate the sequence 4, -6, 4 using a recursive formula, we need to determine the pattern or rule that relates each term to the previous ones. We can see that the first and third terms are the same, and the second term is negative.
One possible recursive formula that generates this sequence is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
Using this formula, we can find each term of the sequence by applying the rule to the previous term:
a(2) = -a(1) + 8 = -4 + 8 = 4
a(3) = -a(2) + 8 = -4 + 8 = 4
Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:
a(1) = 4
a(n+1) = -a(n) + 8, for n ≥ 1
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Please can somebody help me with a couple of question pleaseeee?
Answer:
a) 3⁴
b)7⁵
c)10²
d)5⁷
Step-by-step explanation:
a) 3²*3², add the exponents if multiplying(subtract if division)
b) add the other 7, cause 7⁴ is 7*7*7*7 and since you're doing another *7 just add a number to the exponent
c)10⁹/10⁷ is 9-7, and take that and use it as the exponent
d)since there is no exponent but it is basically the same as b, but switched. Instead of adding an exponent you take one away
Answer:
A) 27
Step-by-step explanation:
3 x 3 = 3²
3 x 3 = 9
9 x 9
27
34. using a centimeter rule having 1-mm scale divisions, you find the sides of a rectangular piece of plywood to be 3.54 cm and 4.85 cm. the calculated area is 17.1690 cm2. in significant figures the results is correctly expressed as; a) 17.0 cm2, b) 17.2 cm2, c) 17.17 cm2, d) 17.169 cm2.
The calculated area is 17.1690 cm2 in significant figure it is 17.2 cm.
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
This calculation for the area is length times length plus three points
3.54 times 4.85 centimeters
Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something
We are going to use the fewest significant figures possible, therefore there is no big role in this.
These are both three significant figures, then.
Therefore, 17.2 square centimeters would be our right answer, which would be three significant figures.
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a characteristic, usually a numerical value, which describes a sample is called a _______. a. parameter b. statistic C. constant d. variable
Answer: B. statistic
Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.
6. Find the value of x. Use the Pythagorean theorem to solve. Round if
necessary.
Answer:
9
Step-by-step explanation:
YALL PLEASE HELP IS IT ADDITION MULTIPLICATION OR SUB
Answer:
6 x \(\frac{3}{4}\)= 4\(\frac{2}{4}\)
Step-by-step explanation:
Answer:
multiplication
Step-by-step explanation:
HOPE THIS HELPS
The diagram shows a circle with centre O. A, Y and B lie on a straight line. C, Y and D lie on a straight line. Given that: AB = 6mm; BY = 2mm; and DY = 2.5mm; work out the length CD.
The value for the length of CD is equal to 3.9 mm using the intersecting secant theorem
What is the intersecting secant theoremThe intersecting secant theorem, also known as the secant-secant theorem, states that when two secant lines intersect outside a circle, the product of the length of one secant segment and its external segment is equal to the product of the length of the other secant segment and its external segment.
DY × CY = BY × AY
{AY = 2 mm + 6 mm}
2.5 × CY = 2 mm × 8 mm
2.5 × CY = 16 mm
CY = 16mm/2.5 {divide through by 2.5}
CY = 6.4
{CD = CY - DY}
CD = 6.4 - 2.5
CD = 3.9
Therefore, the value for the length of CD is equal to 3.9 mm using the intersecting secant theorem.
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PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
Before you can make a pie chart you need to figure out how much of the circle belongs to each category. Suppose that you earned $6.00 doing odd jobs. You spent your money in this manner: Tithe$ 0.60 Missions$ 0.40 Recreation$ 1.80 Savings$ 2.40 School supplies$ 0.80 Remembering the formula, (category total) x 360°, you can figure out each part. For example: 60/600 x 360° = 36° Changing the dollars to cents saves confusion with the decimal point. Following thisformula tells us that, when we make our pie chart, 36° of the graph should belong tothe category of tithe.
Answer:
missions-24
recreation-108
savings-144
school supplies-48
tithe-36
Step-by-step explanation:
so first convert all the given costs to cents by multiplying each amount with 100 then add all of them to get the total as 600
in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence
60/600×360=36
Could someone help and show me the workings for these two question?
The mean of the given data is 194.25 and the standard deviation from the given data is 18475.6875.
(a) Given that, the size of rocks at both 5 m and 25 m from the base of the cliff.
Using given mean and standard deviation formulae, we get
Here, mean=3885/20
= 194.25
Standard deviation=369513.75/20
= 18475.6875
Therefore, the mean of the given data is 194.25 and the standard deviation from the given data is 18475.6875.
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there are 8 dimes in a bag.What is the probability of picking a single dime?
Total dimes=8
Probability of selecting one dime
P(D)
1/Total dimes1/80.125Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{x}{10}=\cfrac{24.5}{14}\implies x=\cfrac{(10)(24.5)}{14}\implies x=\cfrac{245}{14}\implies x=17.5\)
For some strange reason, I have a bunch of nickels and quarters in my pocket. If I have
$6.65 in my pocket and the number of quarters is 13 less than twice the number of nickels,
how many of each coins do I have jingling in my pocket?
The number of Nickels is 18 and the Number of Quarter is 23
Compuitng Unkown Value:To find an unknown value in the given problem we use Linear Equation. In this to represent the unknown number use variables and we will form a Linear equation according to the given question. Here we need to solve the equation for the required value.
Here we have
There are some nickels and quarters in a pocket
Since we don't know the number of nickels and quarters
Let x be the number of nickels and y be the number of quarters
As we know 1 Nickel = 5 cents and 1 Quarter = 25 cents
=> The total amount in pocket = 5x + 25y -----(1)
Given that
The number of quarters is 13 less than twice the number of nickels,
=> y = 2x - 13 -----(2)
Substitute (2) in (1)
=> 5x + 25(2x - 13)
=> 5x + 50x - 325
=> 55x - 325
Given that the total amount in pocket = $ 6.65 = 665 cents
=> 55x - 325 = 665 cents
=> 55x = 990
=> x = 18
From (2)
=> y = 2(18) - 13
=> y = 36 - 13
=> y = 23
Therefore,
The number of Nickels is 18 and the Number of Quarter is 23
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Can anyone help pls I’m struggling on this
Step-by-step explanation:
9311/35. 1/9
plz mark my answer as brainlist plzzzz.hope this will be helpful to you.
☺️
Calculate the volume.
Plz hurry!! 40 points in it!!
Answer:
tell me the decimals number form
Step-by-step explanation:
3) A packet of
rice is 821 g. It is divided into a
equal portions. What is the mass of each portion?
PLEASE HELP, I WILL GIVE BRAINIEST TO FIRST PERSON TO GIVE ME THE CORRECT ANSWER!!
What is the slope of the line that passes through the points (-3, 1) and (1, — 5) ?
o
0
e
1
1
تراثي
3
e
Sco
Answer:
-3/2
Step-by-step explanation:
-5-1/1-(-3)
-6/4
-3/2
If m
15 points thanks you :)
Answer:
48
Step-by-step explanation:
check the attached file
Find the smallest number which
when multiplied with 28800 will
the product a perfect cube
furthur, find the
find the cube root of
the product.
Answer:
Step-by-step explanation:
28800 = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 10 * 10
You need one 2
You need one 3
You need one 10
28800 * 2 * 3 * 10 = 2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3 * 10 * 10 * 10
(2*6 * 3* 3^3 * 10^3) ^(1/3)
2*2 * 3 * 10 is the cube root
120
a little boy is placing 20 of his marbles in a row. if 12 are red and 8 are blue and he decides not to place 2 blue marbles next to each other, how many arrangements of the marbles are possible?
There are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.
What is a combination?
A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.
Here, we
Consider lining up all the blue marbles and placing one red marble in between them. Let that arrangement be fixed. The remaining red marbles will be 5 red marbles. Note that the arrangement will be:
x BR x BR x BR x BR x BR x BR x BR x B x
Note that this is the same even if our arrangement is
x B x RB x RB x RB x RB x RB x RB x RB x
There is a total of 13 places to arrange 8 blue marbles among 12 red marbles.
8 marbles can be placed in ¹³C₈ ways
Total possible arrangements = ¹³C₈ = 1287
Hence, there are 1287 ways of arranging 8 blue marbles and 12 red marbles without placing 2 blue marbles next to each other.
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it takes edna 23 minutes to drive to jake’s party. if she needs to be there at 2:30, what time should she leave
Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.
If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.
To calculate the departure time, we subtract 23 minutes from 2:30 PM:
2:30 PM - 23 minutes = 2:07 PM
Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM
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What is the slope of y = x +5?
1
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
m = 1
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\boxed{\text{General Slope-Intercept Form:}}\\\\y = mx + b\\\rule{150}{0.5}\\\text{m - slope}\\\text{b - Y-intercept}\)
⸻⸻⸻⸻
The slope is '1'. Unusually, the 1 is not written in equations. Since '1' would take m's place, the slope of the given equation is 1.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Smart TVs have seen success in the U.S. market. During the 2nd quarter of 2015 45% of TVs sold in the United States were Smart TVs. That's an in-
crease of 11% from 2014. Choose three households and
find the probability that
a. None of the 3 households had a Smart TV
b. All 3 households had a Smart TV
c. At least 1 of the 3 households had a Smart TV
Answer:
Step-by-step explanation:
The probability of the event listed in the question are calculated as follows :
P(None has smart TV) = 0.166375 P(All have smart TV) = 0.091125P(Atleat one has a smart TV) = 0.833625The probability of having a smart TV ; P(smart) = 0.45
1.) Probability that none of the 3 households have a smart TV:
P(Smart) = 0.45
P(no smart) = 1 - P(smart) = 1 - 0.45 = 0.55
P(None) = P(no smart) × P(no smart) × P(no smart)
P(None) = 0.55 × 0.55 × 0.55 = 0.166375
2.) Probability that all 3 have Smart TVs :
P(All 3 have smart TVs) = P(smart) × P(smart) × P(smart)
P(All 3 have smart TVs) = 0.45 × 0.45 × 0.45 = 0.091125
3.) Atleast one of the 3 had a smart TV :
P(atleast 1 smart TV) = 1 - P(None)
P(atleast 1 smart TV) = 1 - 0.166375 = 0.833625
Therefore, the probability that atleast one of the 3 households has a smart TV is 0.833625
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3. For each object, choose an appropriate scale fora
drawing that fits on a regular sheet of paper, Not all of the
scales on the list will be used,
20
Objects
A. A person
B. A football field
(120 yards by
53, yards)
C. The state of
Washington
(about 240
miles by 360
miles)
The floor plan
of a house
E. A rectangular
farm (6 miles
by 2 mile)
Scales
1. 1 in : 111
Di cm: 1m
3. 1:1000
4. Ift: 1 mile
5. 1:100,000
6.1 mm: 1 km
7. 1:10,000,000
Answer:
Step-by-step explanation:
A person: 1 in : 1 ft
A football field (120 yards by 53 1/3 yards) is 10,000,000
C The state of Washington (about 240 miles by 360 is 1 fit: 1 mile
D The floor plan of a house is 1 mm: 1 km
E A rectangular farm (6 miles by 2 mile) is 1 cm : 1 cm
. what is the value of the 30th percentile for the data set? 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6
The required value of the 30th percentile of the given data set 7 12 3 14 17 20 5 3 17 4 13 2 15 9 15 18 16 9 1 6 is equal to 5.
To find the value of the 30th percentile,
We need to sort the data set in ascending order first,
1, 2, 3, 3, 4, 5, 6, 7, 9, 9, 12, 13, 14, 15, 15, 16, 17, 17, 18, 20
The 30th percentile is the value below which 30% of the data falls.
To find this value, we can use the formula,
P = (n / 100) × x
where P is the desired percentile (30th percentile in this case),
n is the total number of data points,
And x is the rank of the value corresponding to the desired percentile.
Here,
The total number of data points n = 20
x = (30 / 100) × 20
= 6.
This means that the value corresponding to the 30th percentile is the 6th value in the sorted data set, which is 5.
Therefore, the value of the 30th percentile for the given data set is 5.
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6) Practice: Using Visual Cues Label each part of the diagram. Then use your labels to complete the sentences. Square Root Notation √6 1. The expression √ means "the of b". 2. The exponent 1 symbol (√) stands for the 3. The number or expression under the radical symbol is called the
1. The expression √b means "the square root of b".
2. The radical symbol (√) stands for the exponent 1/2.
3. The number or expression under the radical symbol is called the radicand.
What is radicand?A radicand is the number or expression underneath a radical symbol (√). It is the number or expression that is being operated on by the root. The square root of the radicand is the result of the operation.
The expression √6 represents the square root of 6. This is the value of x that, when multiplied with itself, results in 6.
The square root of 6 is equal to 2.44948974, which is the positive solution to the equation x² = 6.
The radical symbol (√) indicates that the expression is a root and the number or expression under the radical symbol is called the radicand, which is 6 in this case.
The exponent of the radical symbol is 1/2, which implies that the expression is a square root.
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