Given
Statements
Find
Which of the following can be used to estimate the instantaneous rate of change at a point on a continuous function.
Explanation
as we know that the slope of the tangent line through a point on the graph of a function gives the function's instantaneous rate of change at that point.
so , option b is correct .
Final Answer
Hence , the slope of the tangent line drawn at the point gives the instantaneous rate of change at a point.
Jake has 30$ in his back account. he spent 53$ dollars at the fair. what is the balance in his back account after his trip to the fair
Minnie owes $350 on her credit card and plans to pay $20 each week to pay it off. Mickey owes $200 on his credit card and plans to pay $10 each
week. Write equations to represent each situation, where x represents the numbers of weeks and y represents how much is left to pay off.
Answer:
x - 1 = y
Step-by-step explanation:
Answer: Minnie: 17x, 10y
Mickey: 20x, 0y
Step-by-step explanation:
For Minnie, if you divided 350 by 20 it equals 17.5 but since it has to be a whole number we take 0.5 times 20 and that equals 10 so she has to pay off 10 more dollars. For Mickey, we take 200 and divide it by 10 and that equals 20 weeks and since theres no qouteint left there is no more money needed to be paid.
Hope This Helps!
Which transformation below will map an image onto itself?
A. A reflection across the y-axis, followed by a reflection across the x-axis.
B. A dilation of 2 followed by a dilation of 1.5
C. A translation right 2 followed by a translation up 2
D. A counterclockwise rotation of 360
Answer:
B
Step-by-step explanation:
a counter clockwiswe rotation of 360
A counterclockwise rotation of 360° maps an image onto itself.
What is a coordinate transformation?Suppose the initial coordinates are (x₁,x₂). We do 4 kinds of operations on the coordinates which include:
the translation which means to move the coordinate up and downdilation which means to expand or contract the length of the coordinate from the originrotation which means to rotate the coordinate about the origin counterclockwise or clockwise. The reflection which means to reflect the coordinate about the x-axis or y-axis.After doing these operations the final position of the coordinates is called the transformation of the initial coordinate.
How to solve it?On a counterclockwise rotation of 360 degree the coordinate comes back to the original position.
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The cost of silver is a function of the weight,
what is the output when the input is 15
Mark and Gary had a basketball game Saturday. Mark had three times as many rebounds as Gary. If together they had 28 rebounds, how many rebounds did Mark have?
A. 14
B. 9
C. 21
D. 7
Please someone answer with an explanation!! I keep putting questions but get no answer and if I do, they just scam my points. If no explanation, please get ready to be reported, thank you :)
Rebounds did Mark have is x = 21
The Option C is correct.
Mark and Gary had a basketball game Saturday.
and, Mark had three times as many rebounds as Gary.
Together they had 28 rebounds.
To find the how many rebounds did Mark have?
Now, According to the question:
Based on the given conditions:
Let x be the rebounds mark
Mark had three times rebounds as Gary
then, formulate ;
x × (1 + 3)÷ 3 = 28
Solve the equation:
[x × (1 + 3)] / 3 = 28
(x × 4) / 3 = 28
x = 28 × \(\frac{3}{4}\)
x = 21
Hence, Rebounds did Mark have is x = 21
The Option C is correct.
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Help pls
do the first one like the 2 examples but only the T-chart part\
30 points+ BRAINLIEST
Answer:
12, 9. 18, 27. 24, 36.
Step-by-step explanation:
It's a 6:9 ratio. So you multiply each by 2, 3, and 4 to find the equivilant ratios. 9 ice creams to 6 biscuits. You count the biscuits and there's 6 and you count the ice cream and there's 9. There are 6 biscuits to 9 ice creams which means... 6:9!
You need a shelf for a small space in your house, so you make a measurement with your meter stick and head to the store. Once there, you find that the dimension of the shelves you want is given in cm. If your space measured 0.8 m, and the shelves at the store measure 30 cm, answer the following questions: 1) How many meters wide is the shelf you want to buy? 2) Will it fit in your house? yes no
Answer:
1. 0.3 m
2. yes
Step-by-step explanation:
The computation is shown below:
Given that
Measurement of space = 0.8m
measurement of the shelves = 30 cm = 0.3 m as 1 m = 100 cm
So for 30 cm it would be
= 0.30 ÷ 100
= 0.3 m
Based on the above information,
1. The number of meters wide for the shelf to buy is 0.3 m
2 And yes it is fitted in the house
Using the required conversion metrics, the width of the shelf at the stis 0.3 meters and will not fit in the house.
Given the Parameters :
Measured width = 0.8 mStore width = 30 cmUsing the appropriate metric conversion values :
100 cm = 1 m
Converting the store measurement into meters :
30 cm ÷ 100 = 0.3 meters
Hence, the shelf you want to purchase measures 0.3 meters.
Since, the measured width and the width of the shelf at the store are different, then the shelf will not fit in.
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Can someone help me with this? I want to understand each step.
Thank you
The first 5 terms of the sequence is given by A = { -4.8 , 1.92 , -0.768 , 0.3072 , -0.12288 }
Given data ,
Let the geometric sequence be represented as A
Now , the value of A is
A = 12 ( -2/5 )ⁿ
On simplifying , we get
when n = 1
A₁ = 12 ( -2/5 ) = -4.8
A₂ = 12 ( -2/5 )²
A₂ = 12 ( 4/25 ) = 1.92
A₃ = 12 ( -2/5 )³
A₃ = -12 ( 8/125 ) = -0.768
A₄ = 12 ( -2/5 )⁴
A₄ = 12 ( 16 / 625 ) = 0.3072
A₅ = 12 ( -2/5 )⁵
A₅ = -12 ( 32 / 3,125 ) = -0.12288
Hence , the geometric sequence is solved
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Condense each Logarithm
The equation of logarithm are solved and
a) A = 2 + 3 log x + 4 log b
b) B = ( 36 + x + y ) ( log 6 )
c) C = ( 1/2 )x log 5
d) D = ln ( x⁴ / y² )
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
A = 2 log 10 + 3 log x + 4 log b
The base of the logarithm is 10 , so
A = 2 + 3 log x + 4 log b
b)
B = log 6³⁶ + log 6ˣ - log 6^ ( y )
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
B = 36 log 6 + x log 6 + y log 6
On taking the common term , we get
B = ( 36 + x + y ) ( log 6 )
c)
C = ( 1/2 )log 5ˣ
From the properties of logarithm , we get
C = ( 1/2 )x log 5
d)
D = 4 ln x - 2 ln y
From the properties of logarithm , we get
D = ln x⁴ - ln y²
On further simplification , we get
D = ln ( x⁴ / y² )
Hence , the logarithmic equations are solved
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Factor the expression.
g²r +
9²₂² - 6g²rs²t+
DONE
__jp²t)(
5422)
To factor the expression, we need to identify any common factors that can be pulled out of the terms.
The terms g²r and 9²₂² have a common factor of g². The terms 6g²rs²t and -6g²rs²t have a common factor of -6g²rs²t. The term 5422 does not have any factors in common with the other terms.
Therefore, the expression can be factored as:
(-6g²rs²t)(g²r + 9²₂²) + 5422
This is the fully factored form of the expression.
????
Parallel lines r and s are cut by two transversals, parallel lines t and u. Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Which angles are alternate interior angles with angle 3? Angle5 and Angle13 Angle7 and Angle15 Angle6 and Angle16 Angle8 and Angle14 Mark this an
Answer:
5 and 13
Step-by-step explanation:
I got it right on edge
Answer:
5 and 13, got in right in edge 2020
Step-by-step explanation:
Find the product of 7 and 4.76.
Answer:
33.32
Explantion: 7x4.76
7+3 express as a difference
Answer:
7 - (-3)
Step-by-step explanation:
You want the sum 7 + 3 expressed as a difference.
DifferenceThe difference of A and B is written A - B. The subtraction operation is involved.
Subtraction is the same as addition of the opposite. Or, addition is the same as subtracting the opposite:
7 + 3 = 7 - (-3)
__
Additional comment
We can also write the difference as ...
3 - (-7)
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The volume of a rectangular prism is 1,001 in^3. The height of the prism is 13 and it's width is 7in. Whats the length of the prism
We are giving the volume of a prism as 1001 in^3
We know that the volume of a prism is defined as the product:
Volume = length x height x width
And we are asked to find the length given that the height is 13 and its width is 7. Then, we replace all this values in the formula and solve for the unknown:
1001 = length x 13 x 7
1001 = length x 91
divide both sides by 91 to isolate the length completely
1001 / 91 = length
11 = length
Then the length is 11 in.
can someone tell me what the diffrence of 8 through 5 is
Answer:
The answer is 3.
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
Answer:
3
Step-by-step explanation:
What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.
How many fewer students voted for oranges than voted for apples or grapes combined?
Answer:
can you pt the question so we understand and then I can edit my thin to have the right answer
Step-by-step explanation:
The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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Find x to the nearest tenth. Click on the pic i really need help
Answer:
140 degrees i think
Step-by-step explanation:
1. A new compact has a sticker price of $14500. Options add another $982. Destination charges are $592. Dealer preparation is 5% of the total price. Sales tax is 7%. Tag fee is $145. Title fee is $45. What is the total price of the vehicle?
2. The selling price of a used car is $8850. Trade in allowance is $1500. Tax is 8%. Tag fee is $130. Title fee is $35. Finance charges are 9.5% annual simple interest. What is the total price of the financed amount? What are the total finance charges? What are the monthly payments if the vehicle is financed for 3 years? What is the total deferred price of the car?
3. The total deferred price of a car is $28000. After a down payment of $2100, the monthly payments are $380. How long is the financing agreement?
4. Stanley bought a new car with a sticker price of $19200. The dealer agreed to a 6% discount. The sales tax was 8% of the selling price. The tag fee was $65, and the title fee was $45. What is the total price of the car? The interest rate is 9% for financing the car for 5 years. What is the total deferred price after all the payments were made?
5. Mark bought a truck with a sticker price of $23000 plus additional options totaling $3500. He received a 4% discount and a $1500 trade-in allowance. The tax was 7%, tag fee was $125, and title fee was $75. He bought an extended warranty for $700, which was financed into the total cost of the truck. The interest rate was 6.5% for 5 years. How much are the monthly payments?
The total price of the vehicle would be $18,192.88.
The total deferred price of the car would be $11,191.60.
The length of the financing agreement is 68 months .
The total deferred price after the payments was $19,601.84.
The monthly payments would be $516.92.
How to find the price of the vehicle ?Subtotal = Base price + Options + Destination charges
Subtotal = $14,500 + $982 + $592 = $16,074
Dealer preparation = 5% of subtotal
Dealer preparation = 0.05 x $16,074 = $803.70
Sales tax = 7% of subtotal
Sales tax = 0.07 x $16,074 = $1,125.18
Total price = Subtotal + Dealer preparation + Sales tax + Tag fee + Title fee
Total price = $16,074 + $803.70 + $1,125.18 + $145 + $45 = $18,192.88
How to find the total deferred price ?Tax = 8% of selling price = 0.08 x $8,850 = $708
Tag fee = $130
Title fee = $35
Total amount financed = Amount financed + Tax + Tag fee + Title fee = $7,350 + $708 + $130 + $35 = $8,223
Annual interest rate = 9.5%
Number of years financed = 3
Total finance charges = $8,223 x 0.095 x 3 = $2,341.595
Total financed amount = $8,223 + $2,341.595 = $10,564.595
Monthly payments = Total financed amount / (Number of years financed x 12 months) = $10,564.595 / (3 x 12) = $293.4615
Total deferred price = Selling price + Total finance charges = $8,850 + $2,341.595 = $11,191.595
How to find the length of the financing agreement ?Total deferred price = $28,000
Down payment = $2,100
Total amount financed = Total deferred price - Down payment = $28,000 - $2,100 = $25,900
Monthly payments = $380
Number of months = Total amount financed / Monthly payments = $25,900 / $380 = 68.16
The financing agreement is approximately 68 months long.
How to find the deferred price after the payments ?Sticker price = $19,200
Discount = 6% of sticker price = 0.06 x $19,200 = $1,152
Selling price = Sticker price - Discount = $19,200 - $1,152 = $18,048
Sales tax = 8% of selling price = 0.08 x $18,048 = $1,443.84
Total price = Selling price + Sales tax + Tag fee + Title fee = $18,048 + $1,443.84 + $65 + $45 = $19,601.84
How to find the monthly payments ?Using the formula for monthly payments on a loan:
P = (PV x r x (1 + r)^ n) / ((1 + r) ^ n - 1)
= ($26,515.80 x 0.005265 x (1 + 0.005265) ^ 60 ) / ((1 + 0.005265) ^ 60 - 1) = $516.92
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The ratio of yellow crayons to green crayons is 6 : 5.
If there are 18 yellow crayons, how many green crayons are there?
Answer:
15 Green crayons
Step-by-step explanation:
Ratio Yellow to green crayons
Thus, 6 → Yellow and 5 → Green
6 5
18 x
We need to divide 18 by 6 which is 3
5 x 3 = 15
Hence, Green Crayons ⇒ 15
[RevyBreeze]
15 green crayons
Step-by-step explanation:
Given:
The ratio of yellow crayons to green crayons is 6:5.To Find:
If there are 18 yellow crayons, how many green crayons are there?Solution:
Let,
yellow crayons = 6x green crayons = 5xIf there 18 yellow crayons so,
6x = 18
x = 18/6 = 3 ...(1)
By putting the value of x from equation (1) :-
➝ 5x => 5 × 3
=> 15
Therefore, there are 15 green crayons.
Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...
The incorrect statement is:
B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.
In the given statement, there is an error in the inequality. The correct statement should be:
The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.
When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:
- 5x < 15x^2 and 15x^2 < 3
Simplifying the first inequality:
- 5x < 15x^2
Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:
- 5 < 15x
Simplifying the second inequality:
15x^2 < 3
Dividing by 15, we get:
x^2 < 1/5
Taking the square root (assuming x ≥ 0), we have two cases:
x < 1/√5 and -x < 1/√5
Combining these inequalities, we get:
- 5 < 15x and x < 1/√5 and -x < 1/√5
Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.
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I need help with my homework
Question 9 of 10 What is the scale factor of ABC to DEF?
68 times the difference between a number and 45 is equal to the number plus −98
Answer:
The number can be expressed in multiple forms
Fraction form \(x=\frac{2962}{67}\) or decimal form \(x=44.21\)
Step-by-step explanation:
Lets break the problem down
"times" is multiplication *
The difference between 2 numbers is subtraction \((x-y)\)
A number plus a number is addition \(x+y\)
\(68(x-45)=x+-98\)
Lets solve for \(x\).
Lets start on the left side.
Distribute 68 to the terms inside the parenthesis.
\(68x-3060=x+-98\)
A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.
\(68x-3060=x-98\)
Subtract \(x\) from both sides of the equation.
\(68x-3060-x=-98\)
Subtract \(x\) from \(68x\).
\(67x-3060=-98\)
Add 3060 to both sides of the equation.
\(67x=2962\)
Divide both sides of the equation by 67.
\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)
use the product rule to simplify the following expression
13
√x
We have been provided with this exponential equation y= 13√x + 13√\(x^{7}\)
The product rule for solving the exponential powers is \(x^{n}\) × \(x^{m}\)= \(x^{n+m}\)
, which means if the base is same and the variables are multiplied then the powers of the bases get added.
By using the product rule in the given exponential problem, it can be written as:
y = 13 √x ×√\(x^{7}\)
y =13 √\(x^{1+7}\)
y =13 √\(x^{8}\)
Roots means the power of the base is half
y =13 \(x^{4}\)
Correct question is Use the product rule to simplify the following expression
y= 13√x + 13√\(x^{7}\)
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I need to know about the fraction for this question
Answer: the fraction is 4over 12
Step-by-step explanation:
first you multiply the top and bottom number then u divide the number by the bottom.
Answer:
1/2
Step-by-step explanation:
If you were to multiply 1/2 by -50 you would get -25, which is greater than -50.
The same goes for 1/5, if you were to multiply 1/5 by -50, you would get -10.
Another example is 1/10 times -50, that would be -5.
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
Given the sequence -7, -3, 1, 5,What is the explicit formula to represent this sequence?A. a^n= 4n-7B. a^n= -7n+4C. a^n= 5-7nD. a^n= 4n-11
The given sequence is
\(-7,-3,1,5\)To find the explicit formula, first, we have to find the difference by subtracting two consecutive terms.
\(-3-(-7)=-3+7=4\)As you can observe, the difference is 4.
\(d=4\)From the sequence, we observe that the first term is -7.
\(a_1=-7\)The formula for arithmetic sequences is
\(a_n=a_1+(n-1)d\)Now, let's replace the values we've got.
\(a_n=-7+(n-1)\cdot4\)Then, we simplify.
\(\begin{gathered} a_n=-7+4n-4 \\ a_n=4n-11 \end{gathered}\)Therefore, the right answer is D.help!! geometry
jjjjjjjjjjjjj
Answer:
107
Step-by-step explanation:
Since they are congruent triangles angle B is the same as angle D.
To find D, all angles add to 180 degrees, so:
41+32+x=180
73+x=180
X=107
So angle B is 107 degrees