Jeffery read a book with one-fifth the pages of the book Toby read.
Which variable expression represents the number of pages in the book Jeffery read?
1/5+t
t + 5
t/5
5t
Answers
Answer:1/5+t
Step-by-step explanation:
Related Questions
Rewrite the function f(x)=-4(x-3)^2+16 in the form f(x)=ax^2+bx+c
Answers
first, simply each term
4x^2-24x+36+16
then add 36 to 16
4x^2-24x+52
For each year t, the number of trees in Forest A is represented by the function A(t) = 72(1.025). In a neighboring forest, the number of trees in Forest B is represented by the function B(t) = 63(1.029).
Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 20 years? By how many?
Round your answer to the nearest tree.
Forest A or B will have _________ more trees.
Answers
Answer:
Forest A will have 6 more trees.
Step-by-step explanation:
The number of trees in Forest A is represented by the function:
\(A(t)=72(1.025)^t\)
And Forest B is represented by:
\(B(t)=63(1.029)^t\)
And we want to determine which forest will have the greater number of trees after 20 years.
So, evaluate both functions for t = 20. For Forest A:
\(\displaystyle \begin{aligned} A(20)&=72(1.025)^{20} \\ &=117.9803...\\ &\approx 118 \text{ trees} \end{aligned}\)
And for Forest B:
\(\displaystyle \begin{aligned} B(20) &= 63(1.029)^{20} \\ &=111.5958... \\ &\approx 112 \end{aligned}\)
Therefore, after 20 years, Forest A will have 6 more trees.
change 6 1/3 to a percent
Answers
hope this helps!
Name one pair of congruent sides. A. Segments PR and SV B. Segments QR and ST C. Segments RP and TS D. Segments PQ and VS
Answers
Answer:
Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.
#1 Congruent Angle
#2 Congruent Sides
#3 Side Angle Side
I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
A line has a slope of -3/4 and passes through the point (-5, 4) which is the equation of the line?
A: y=-3/4x + 1/4
B: y= -3/4x + 4
C: Y= -3/4x - 2
D: y= -3/4x -1/4
Answers
Answer:
Correct choice: A
\(y=-3/4x+1/4\)
Step-by-step explanation:
The point-slope form of the equation of a line is:
\(y-k=m(x-h)\)
Where m is the slope and (h,k) is a point through which the line passes.
We are given the slope of a line m=-3/4 and the point (-5,4). Substituting:
\(y-4=-3/4(x+5)\)
Operating:
\(y-4=-3/4x-15/4\)
\(y=-3/4x-15/4+4\)
\(\boxed{y=-3/4x+1/4}\)
Correct choice: A
Answer:
It’s a no cap
Step-by-step explanation:
I took the test on edge
Which of the following rational functions is graphed below?
Answers
Answer:
the answer is d
Step-by-step explanation:
because when we put-1 from x the equation hasn't any value
Solve for x. Round your answer to the nearest tenth.
Answers
Answer:
-x + 20
Step-by-step explanation:
13-x+3+4
13 - x + 3 - 3 = 4 + 3
13 - x = 7
= -x + 7 + 13
= -x + 20
#Carry on LearningWhat single transformation maps ABC onto ABC?; Which rigid transformations can map triangle ABC onto triangle Fed?; What are the rigid transformations that will map โณ ABC to โณ DEF ?; Which pair of triangles can be proven congruent by the HL theorem?; Which rigid transformation S can map Triangleabc onto Triangledec ?
Answers
Single transformation maps ABC onto A'B'C' is reflection.
Given :
Reflection the single transformation maps ABC onto A'B'C' is reflection .
The rigid transformations can map triangle Δ ABC onto triangle Δ FED is reflection then translation .
The rigid transformations that will map Δ ABC to Δ DEF is rotation then translation .
pair of triangles can be proven congruent by the HL theorem is rotation then translation .
rigid transformation S can map Triangle abc onto Triangle dec is reflection then rotation .
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Ethan is using his compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is he in the process of constructing?
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
Answers
Answer:
A
Step-by-step explanation:
Cuz Im just right
(A) An equilateral triangle.
Circle:All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.Polygon:In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).Triangle:A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.Therefore, Ethan is in the process of constructing (A) an equilateral triangle.
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ANYONE????????????????
Answers
Step-by-step explanation:
B. The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
Answers
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
The variance is therefore; 78.8/5 = 15.76Learn more on the variance of a set of data here: https://brainly.com/question/30701163
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The solution of the equation 3x + 4 =1 is a) 1 b) 0 c) -1 d) 2
Answers
Hello!
3x + 4 = 1
3x + 4 - 4 = 1 - 4
3x = -3
3x/3 = -3/3
x = -1
The solution of the equation 3x + 4 = 1 is -1.
The answer is:
C) x = -1
Work/explanation:
To solve this equation, I subtract 4 from each side:
\(\sf{3x+4=1}\)
Subtract :
\(\sf{3x=-3}\)
Divide each side by 3:
\(\sf{x=-1}\)
Hence, C is correct.
I need help on this one
Find the selling price.
Cost To Store: $50
Markup: 10%
The selling price is $blank
Answers
The selling price of the item at 10% marlkup is $55
Finding the selling price of the itemFrom the question, we have the following parameters that can be used in our computation:
Cost To Store: $50Markup: 10%Using the above as a guide, we have the following:
Selling price = Cost To Store * (1 + Markup)
substitute the known values in the above equation, so, we have the following representation
Selling price = 50 * (1 + 10%)
Evaluate
Selling price = 55
Hence the selling price of the item is $55
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Click on the time that passed from start to end
38 minutes
22 minutes
32 minutes
28 minutes
Answers
Answer:
32 mins\
beacuase taht was the amont of time that passed
What is the area of a sector with a central angle of 180° and a diameter of 21.2 cm? Use 3.14 for and round your final answer to the nearest hundredth.
Enter your answer as a decimal in the box.
(176.41cm^2)
Answers
The area of the sector with a central angle of 180° and a diameter of 21.2 cm is given as follows:
176.41 cm².
What is the area of a circle?The area of a circle of radius r is given by π multiplied by the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.
The diameter for this problem is of 21.2 cm, hence the radius is given as follows:
r = 0.5 x 21.2 = 10.6 cm.
The central angle of 180º means that we have a semicircle, as an entire circle has a central angle of 360º, thus the area is given as follows:
A = 0.5 x 3.14 x 10.6²
A = 176.41 cm².
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What are the coordinates of a point on the unit circle if the angle formed by the positive x-axis and the radius is 45? (WHO WANTS BRAINLIEST?!)
Answers
Answer:
the 45 degree angle is in the first quadrant, the coordinates are (√2/2, √2/2) (square root of 2 on the top, 2 on the bottom)
The cookie store had 187 cookie jars with 12 cookies in each cookie jar. How many cookies did the cookie store hav in all
Answers
The number of salespeople assigned to work during a shift is apportioned based on the average number of customers during that shift. Apportion 16 salespeople using Jefferson's method given the information below.
Shift Morning Midday Afternoon Evening
Average number of customers 125 280 460 560
Salespeople to assign
What modified divisor did you use?
Answers
a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:
Shift Morning Midday Afternoon Evening Total
Number of
salespeople assigned 1 3 5 7 16
b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.
What is the standard divisor?The standard divisor shows the ratio of the total population to the number of seats.
The standard divisor gives an insight about the number of people each seat represents.
Standard divisor = Total number of customers / Total number of salespeople
The total number of customers = 1,425
The number of salespeople = 16
a) Standard divisor = 1,425 ÷ 16
= 89.0625
Shift Morning Midday Afternoon Evening Total
Average number of
customers 125 280 460 560 1,425
Standard divisor 89.0625 89.0625 89.0625 89.0625
b) Modified divisor 1.4035 3.1438 5.165 6.288
Number of
salespeople assigned 1 3 5 7 16
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Write in ordinary form
3.6
×
10
−
1
Answers
10/1 = 10
so 3.6 x 10 = 36
:)
10 1/2 gal = __ qt
brainliest will be given
Answers
Answer:
10 1/2 gallons = 42 quarts:)
Solve for the portion. Round to hundredths when necessary.
14.5% of 1,800 is
Answers
The value of 14.5% of 1,800 is 261 by using the concept of percentage.
What is meant by percentage?In mathematics, a percentage is a value or ratio expressed as a fraction of 100.
The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.
A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.
Given,
14.5% of 1,800
=(14.5/100)×1800
=261
Therefore, the answer is 261.
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$9,300 is invested in an account earning 8.9% interest (APR), compounded daily. Write a function showing the value of the account after � t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answers
The function for the value of the account after t years can be written as:
V(t) = 93000(1.08900365)t
The coefficient of 1.08900365 is the annual growth rate (APR) compounded daily. After rounding to four decimal places, it becomes 1.0890.
The percentage of growth per year (APY) is 8.90%. This is the same as APR, but expressed as a percentage.
One type of flower is growing in a pond. The flowers F in the pond are growing exponentially.
0 200
1 800
Answers
Answer:
The function that models the number of flowers, F(t), is given as F(t) = cd, where c and d are constants. We need to find the values of c and d in order to write the equation for the number of flowers in the pond at time, t.
From the table, we know that when t=0, F(t) = 200. This means that:
F(0) = cd = 200
Similarly, when t=1, F(t) = 800. This means that:
F(1) = cd = 800
We can solve this system of equations for c and d by dividing the second equation by the first equation:
F(1)/F(0) = 800/200
4 = d/c
Now we can substitute the value of d/c into either equation to solve for one of the constants. Let's use the first equation:
cd = 200
c(d/c) = 200
d = 200/c
Substituting this into the equation d/c = 4, we get:
4 = d/c = (200/c) / c
4c = 200
c = 50
Now we can find the value of d using d = 200/c:
d = 200/50 = 4
Therefore, the equation for the number of flowers in the pond at time, t, is:
N(t) = cd = 50(4) = 200
So, the answer is N(t) = 200(1), which means that at any time t, the number of flowers in the pond is 200.
\( {4}^{3} \)
evaluate this expression
Answers
Answer:
64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
4^3
= 4 * 4 * 4
= 16 * 4
= 64
A point is plotted on a coordinate grid at (-3, 4). How far is the point from point (0, 0)?
Answers
The point at (-3, 4) is at a distance of 5 units from the point (0, 0).
How far is the point from (0, 0)?For two points (x₁, y₁) and (x₂, y₂), the distance between them is given by the formula:
distance = √( (x₁ - x₂)² + (y₁ - y₂)²)
In this case, we want to get the distance between (-3, 4) and (0, 0), using the above formula we will see that the distance is:
distance = √( (-3 - 0)² + (4 - 0)²) = √25 = 5
The distance is 5 units.
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Question 4(Multiple Choice Worth 2 points)
(Slope LC)
What is the slope of the line that contains the points (1,-9) and (-3, 3)?
3
0-3
1/3
-1/3
Answers
The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.
Given that,
We have two points they are (1,-9) and (-3,3).
We have to find the slope of the line that contains the points.
We know that,
What is slope?The slope or steepness of a line is determined using the slope formula. It may be used to calculate any line's slope by comparing the change in the y-axis to the change in the x-axis. The slope of a line is the ratio of the change in the line's "y" coordinate to the change in its "x" coordinate.
Slope = y₂-y₁/x₂-x₁
So,
The points (1,-9) and (-3,3).
Slope = 3-(-9)/-3-1 = 3+9/-3-1 = 12/-4 = -3
Therefore, The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.
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Warren is on vacation and needs to arrange transportation. A rental car costs 60 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.
C(x) = ______________
If Warren has budgeted 434 dollars for the rental, how many days can he afford?
Answers
Answer:
The answer is C(x) = 60x + 14 and the answer to the second one is 7 days.
Step-by-step explanation:
C(x) =60x + 14
434 = 60x + 14
-14 -14
420 = 60x
/60 /60
7 = x
or
x = 7 days
Find an equation for the graph
Answers
Answer:
y=6^x+0.612 - 4
Step-by-step explanation:
x = -4 ---> horizontal asymptote
m = 6 ---> use points (0, -1) and (1, 5)
Parent function of the graph: \(y=b^x\)
Our equation: \(y=6^x\)
Add alterations:
Reflections = N/AVertical & horizontal shifts = down 4Vertical & horizontal stretches = left approx 0.612Final equation: y=6^x+0.612 - 4
Kenyon ran for 8 miles each week while training. Here is his record of the number of miles he ran.
Kenyon ran 0.4 miles more on Thursday than on Tuesday. Find the number of miles he ran on Tuesday and Thursday.
Monday= 1.2 mi. Wednesday = 1.6 mi
Tuesday: mi
Thursday: mi
Answers
Step-by-step explanation:
Let x be the miles Kenyon ran on tuesday
Let y be the miles Kenyon ran on thursday
Given,
Mon + Tues + Wed + Thu = 8mi
\(1.2 + x + 1.6 + y = 8 \\ 2.8 + x + y = 8 \\ x + y = 8 - 2.8 \\ x + y = 5.2\)
also given,
\(y = x + 0.4 \\ - x + y = 0.4\)
Now we have x + y = 5.2 as equation 1 and -x + y = 0.4 as equation 2
Using equation 1,
\(x + y = 5.2 \\ x = 5.2 - y\)
Substitute this equation into equation 2.
\( - (5.2 - y) + y = 0.4 \\ - 5.2 + y + y = 0.4 \\ - 5.2 + 2y = 0.4 \\ 2y = 0.4 + 5.2 \\ 2y = 5.6 \\ y = 5.6 \div 2 \\ = 2.8mi\)
Substitute y = 2.8 into equation 1.
\(x + 2.8 = 5.2 \\ x = 5.2 - 2.8 \\ = 2.4mi\)
Therefore Kenyon ran 2.4 miles on tuesday, and ran 2.8 miles on thursday.
Help please, i need it asap
Answers
Answer:
∠BCA = 59
x = 2
∠B = 83
Step-by-step explanation:
Properties of a parallelogram:
Opposite angles are congruent
Opposite side lengths are congruent
That being said lets find x, ∠B and ∠BCA
First x
Segment AD and segment CD are parallels which are congruent
Knowing that we create an equation
6x = 12
step 1: Divide each side by 6
6x/6=x
12/6=2
we're left with x = 2
For ∠B
∠D and ∠B are opposite angles of a parallelogram
meaning that ∠D≅∠B
So if ∠D=83 then ∠B also = 83
For ∠BCA
∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)
Because ∠DAC = 59 ∠BCA also = 59