Answer: Hope this helps you! (I cant fill in the blank since can't see the choices.)
-4d = 20
d = -5
Step-by-step explanation:
-4d - 18 = 2
+18 +18
-4d = 20
/-4 /-4
d = -5
Answer:-4d=20
D=-5
Step-by-step explanation:
start by adding 18 to both sides to cancel out -18. Then move on by dividing both sides by -4, coming out to d=-5
Please help and thank you:)
Answer:
Its C
Step-by-step explanation:
Since the x is being multiplied by the 12, not being added or divided or substracted
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The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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Write the following repeating decimal using a bar over the repeated digit(s).
0.355555555...
Answer:
just write 0.35 and write a line like this "---" above the five since it's the number repeating.
Step-by-step explanation:
find the slope of the line 6x + 2y=10
Answer:
y=-3x+5
Step-by-step explanation:
2y=10-6x
y=5-3x
y=-3x+5
Why is it important that we tell Native American stories?
Answer:
Utilizing storytelling to transmit educational messages is a traditional pedagogical method practiced by many American Indian tribes. American Indian stories are effective because they present essential ideas and values in a simple, entertaining form. Different story characters show positive and negative behaviors.
Step-by-step explanation:
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
Circle X has a radius of 9 centimeters. Arc on circle X has a central angle of 110 degrees. What is the approximate length of arc RS?
The length of arc RS on circle X is 17.99 centimeters.
To find the length of arc RS on circle X, we need to calculate the circumference of the entire circle and then determine what portion of the circumference is represented by the central angle of 110 degrees.
The circumference of a circle is given by the formula C = 2πr, where r is the radius. In this case, the radius of circle X is 9 centimeters, so the circumference is C = 2π(9) = 18π centimeters.
To find the length of arc RS, we need to determine what fraction of the entire circumference is represented by the central angle of 110 degrees. A full circle has 360 degrees, so the fraction of the circumference represented by the central angle is 110/360.
To find the length of arc RS, we multiply the fraction of the circumference by the total circumference of the circle. Therefore, the length of arc RS is (110/360) * 18π.
Simplifying the expression, we have (110/360) * 18π = (11/36) * 18π.
Canceling out the common factors, (11/36) * 18π = (11/2)π.
Now, we can approximate the value of π as 3.14. Therefore, the length of arc RS is (11/2) * 3.14.
Calculating the approximate value, we have (11/2) * 3.14 ≈ 17.99 centimeters.
Therefore, the approximate length of arc RS on circle X is approximately 17.99 centimeters.
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A rectangle has an area of 18 square centimeters.
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
B
C
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
4 cm and 5 cm
Answer:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Step-by-step explanation:
We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm
2 cm and 9 cm
3 cm and 6 cm
Simplify (a÷b)³×(b÷c)×(c÷a)³ when a=3,b=a²,c=a³
Answer:
To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.
Substituting the values of a, b, and c:
a = 3
b = a² = 3² = 9
c = a³ = 3³ = 27
Now let's simplify the expression:
(a÷b)³×(b÷c)×(c÷a)³
(3÷9)³×(9÷27)×(27÷3)³
Simplifying each term:
(3÷9) = 1/3
(9÷27) = 1/3
(27÷3) = 9
Now we can substitute the simplified values back into the expression:
(1/3)³×(1/3)×9
Simplifying further:
(1/27)×(1/3)×9
1/9
Therefore, the simplified expression is 1/9.
This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors
The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.
With a few reasonable assumptions, it looks to me like each son gets $9,000.
An investment of R1 500 000, made two years ago, has increased in value to R1 700 000, and has delivered R40 000 worth of dividends over the two years. What is the return on the investment? 1.6% 2.16% 3.28% 4.33%
Two years ago, an investment of R1 500000 has increased to R1 700000 and has delivered R40 000 worth of dividends over the two years. Then the return on investment would be 16%.
We can use the following formula to calculate ROI:
ROI = (gain from investment - cost of investment) / cost of investment
where, gain from investment is the total value of the investment (including dividends), and cost of investment is the initial investment.
Using the values given in the question, we can calculate the ROI as:
ROI = ((R1,700,000 + R40,000) - R1,500,000) / R1,500,000 = R240,000 / R1,500,000
ROI = 0.16 or 16%
Therefore, the return on the investment is 16%.
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Simplify the expression.
5.15/5
Value of the expression 5.15 / 5 is equals to 1.03.
What is expression?
" An expression in mathematics is a representation of two or more numbers or variables which are connected by mathematical operation."
According to the question,
Given expression 5.15 / 5
= 1.03
Hence, value of the expression 5.15 / 5 is equals to 1.03.
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30 is 5/6 of what number?
Answer:
12
Step-by-step explanation: because 30 divided by 5/6 gives you your simplified answer of 12 when you switch over the incomplete progress of elimination when overwriting your decimal place so , that gives you 12
The solution for a number that satisfies the condition ''5/6 times a number is 30.'' is, 12
We have to give that,
To find a number which is 5/6 times a number is 30.
Now, let us assume that,
A number = x
Hence, it can be written as,
⇒ \(\dfrac{5}{6} \times x = 30\)
Solve for x,
Multiply by 6 on both sides,
⇒ \(5x = 10 \times 6\)
⇒ \(5x = 60\)
Divide 5 on both sides,
⇒ \(x = \dfrac{60}{5}\)
Simplify it,
⇒ \(x = 12\)
Therefore, the solution is, x = 12
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steven swam 4 6/7 meters crossing lady jay creek. write the distance he swam as a mixed number
Answer:
34/7
Step-by-step explanation:
When four gallons are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank in gallons?
The capacity of the tank in gallons is 24 gallons.
What is an Equation ?An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
It is given in the question that
When four gallons are added to a tank that is one-third full
the tank is then one-half full.
Let the capacity of the tank is x gallons
The equation can be formed for the capacity of the tank as
(1/3)x +4 = (1/2)x
(1/3)x -(1/2)x = -4
(1/6)x = 4
x = 24 gallons.
Therefore the capacity of the tank in gallons is 24 gallons.
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I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
help needed right away this is timed
A small aircraft takes off from the ground. The height of the aircraft increases by 1,000 feet for every minute that has passed since the aircraft left the ground.Which function best represents the height of the aircraft in feet, as a function of time in minutes?
A small aircraft takes off from the ground. The height of the aircraft increases by 1,000 feet for every minute that has passed since the aircraft left the ground.
Which function best represents the height of the aircraft in feet, as a function of time in minutes?
___________________________________________
f(x ) = 1000x
y= mx+b
b= 0
The slope m (feet for every minute) (y/x) (variation of y with respect to x)
12.5% of what number is 12?
Answer:
100.45
Step-by-step explanation:
Answer:
x = 96
Step-by-step explanation:
We have, 12.5%(x) = 12
or, 12.5/100(x) = 12
Multiplying both sides by 100 and dividing both sides by 12.5,
we have x = 12(100/12.5)
x = 96
Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
a 8. The plans of a house are drawn to a scale of 1:50. (a) Find the actual length, in metres, represented by 14 cm on the plan. (b) What length, in centimetres, on the plan represents an actual length of 11 metres? [N/85/P1]
Answer:
a) 7 m
b) 22 cm
Step-by-step explanation:
Given plans at a scale of 1 : 50, you want (a) the actual length corresponding to a plan length of 14 cm, and (b) the plan length corresponding to an actual length of 11 m.
ProportionThe actual lengths are wanted in meters, so we can rewrite the scale to translate between plan cm and actual m.
plan : actual = 1 cm : 50 cm
= 1 cm : 0.5 m
= 2 cm : 1 m
a) 14 cmMultiplying the scale by 7, we have ...
2 cm : 1 m = 14 cm : 7 m
The actual length is 7 meters.
b) 11 mMultiplying the scale by 11, we have ...
2 cm : 1 m = 22 cm : 11 m
The plan length is 22 cm.
A polygon with both equal angles and equal sides is called
Answer:
It's called a regular polygon
Answer:
A regular Polygon
Step-by-step explanation:
I’m confused:/ can somebody help me??
Answer:
I got ya :D
the answer is
\( \binom{ - 18 \: \: \: 10 }{5 \: \: \: - 3} \)
explanation in the attachment
Which transformation is needed to be used on x^2, to get the graph of f(x) = 2x2 - 12x + 22?
Select one:
O a. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 13 units
O b. Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units
O c. Shift right by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units
O d. Shift right by 3 units and shift upwards by 4 units
Please I need help
Answer: A
Step-by-step explanation:
The required transformation is Shift left by 3 units, stretch vertically by a factor 2 and then shift upward by 4 units. Hence option B is correct.
What is graph?The graph is a demonstration of curves which gives the relationship between x and y axis.
Since, both curve of x² and 2x² - 12x + 22 is in the graph.
Now, the steps of transformation of x² into 2x² - 12x + 22 is as follows.
1) Shift left by 3 units.
2) Stretch vertically by a factor 2.
3) Shift upward by 4 units
Thus, the required result will be seen graph.
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Alex rents a car for one day. The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30. Write an equation to represent the situation.
A) 30 - 0.12 = 18x
B) 18 + 0.12x = 30
C) 18 - 0.12x = 30
D) 18x + 0.12 = 30
please help
Answer:
B
Step-by-step explanation:
It's B because Alex wants to spend exactly $30, and since he has to pay $18 as a charge and $0.12 per mile, you would have to add those two together to get $30. Since you're spending money per mile and the charger, you have to add them.
Help!
solve for x 13,14, and 16 only!!!
Answer:
13:
x= 86°
14:
x= 30°
16:
x= 59°
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
Tom rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total less than 4.
The probability of getting a total less than 4 is 1/12
How to determine the probability?In a roll of two dice, we have
Outcomes = 36
Sum less than 4 = 3
The probability is then calculated as:
P = Sum less than 4/Outcomes
This gives
P = 3/36
Simplify
P = 1/12
Hence, the probability of getting a total less than 4 is 1/12
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