An author works on a new book and after writing a few chapters, begins a new plan to write 600 words per day. On the fifth day of working on this plan, 4, 500 words have been writen. Which cquation represents the total number of words the author has written, y, based on the number of days, I, since the new plan was started?
Answers
Answer:in this case I honk you wou add
Related Questions
A cereal bowl has a diameter of 16 centimeters. What is the radius of the cereal bowl?
Answers
Answer:
8 centimeaters
Step-by-step explanation:
A diameter streaches across a object. Radius is 1/2 the diameter always. so if we take the diameter and * by 1/2 that is the radius.
Therefor:
16*1/2 = 8
or
16/2 = 8
a rectangular feild 70m long and 50m wide has a path of uniform width around it if the area of the path is 104m² find the width of the path
Answers
The 70 meters by 50 meters rectangular field having a path with an area of 104 m² around it indicates that the width of the path, found using the quadratic formula is about 0.43 meters.
What is the quadratic formula?The quadratic formula is a formula that is used to find the values of x that are the solutions to the the the quadratic equation of the form, a·x² + b·x + c = 0.
The length of the rectangular field = 70 meters
The width of the rectangular field = 50 meters
The width of the path around the field = Uniform width
Area of the path around the field = 104 m²
Let x represent the width of the path, we get;
(70 + 2·x) × (50 + 2·x) - 70 × 50 = 104
4·x² + 240·x = 104
4·x² + 240·x - 104 = 0
The quadratic formula which can be used to find the value of x in the equation a·x² + b·x + c = 0, is presented as follows;
\(x = \dfrac{-b\pm \sqrt{b^2-4\cdot a \cdot c} }{2\cdot a}\)
Comparing the equation 4·x² + 240·x - 104 = 0 to the quadratic equation for the quadratic formula; a·x² + b·x + c = 0, we get;
a = 4, b = 240, c = -104
Therefore;
\(x = \dfrac{-240\pm \sqrt{240^2-4\times 4 \times (-104)} }{2\times 4}\)
x ≈ 0.430 or x ≈ -60.4
The possible value of the width of the path is x ≈ 0.43 metersLearn more about the quadratic formula here:
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Really need help with number 16 just started learning this today and still don't quite understand would really appreciate the help
Answers
0. To complete the square, it is easier to move the constants to the other side:
\(x^2-\frac{3}{4}x+\frac{1}{8}-\frac{1}{8}=-\frac{1}{8}\)\(x^2-\frac{3}{4}x=-\frac{1}{8}\)2. Getting the square of both sides:
\(x^2-\frac{3}{4}x+(\frac{\frac{3}{4}}{2})^2^{}=-\frac{1}{8}+(\frac{\frac{3}{4}}{2})^2\)\(x^2-\frac{3}{4}x+(\frac{3}{8})^2=-\frac{1}{8}+(\frac{3}{8})^2\)\(x^2-\frac{3}{4}x+\frac{9}{64}^{}=-\frac{1}{8}+\frac{9}{64}\)3. Factoring and solving:
\((x^{}-\frac{3}{8})^2=\frac{1}{64}\)\((x^{}-\frac{3}{8})^2-\frac{1}{64}=\frac{1}{64}-\frac{1}{64}\)\((x^{}-\frac{3}{8})^2-\frac{1}{64}=0\)Answer:
\((x^{}-\frac{3}{8})^2-\frac{1}{64}=0\)Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
First five terms of the Recursive sequence
Answers
Answer:
please make me brain
Step-by-step explanation:
option (3) is answer bro
A store paid $240.00 for a dining table.The manager of the store marks up the table by 125%.what is the new price of the dining table?
Answers
Answer:
$300
Step-by-step explanation:
$240 × 125% is $300
We can use the method of calculating the percentage of an amount to find out the discount amount. The new price of the dining table will be $300.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Therefore, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
We have been given that A store paid $240.00 for a dining table and The manager of the store marks up the table by 125%.
Therefore, 125% of $240
$240 × 125%
$240 × 1.25
= $300
Hence, the new price of the dining table will be $300.
We can use the method of calculating the percentage of an amount to find out the discount amount.
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Does anyone know how to solve this?
Answers
Kayana used 4 packages of pencils, so she used 4p pencils in total for the first semester.
After that, she used 10 more pencils, so the total number of pencils she used is:
4p + 10
Therefore, the expression to represent the total number of pencils Kayana used is 4p + 10.
One find the surface area of the rectangular prism
Two find the surface area of the rectangular pyramid
Three find the surface area of the cube
Answers
The surface areas are 110 in², 87.6 mm² and 49 m².
Given that are solid figure, we need to find the surface area of them,
1) Triangular prism = perimeter × length + 2 × base area
= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²
2) Triangular pyramid = base area + perimeter × slant height / 2
= 1/2 × 5.2 × 6 + 3 × 6 × 8/2
= 87.6 mm²
3) Cube = 4side²
= 4 × (3 1/2)²
= 4 × 3.5²
= 49 m²
Hence the surface areas are 110 in², 87.6 mm² and 49 m².
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Identify a pattern in the given list of numbers. Then use this pattern to find the next number.
1, 1, 1, 2, 1, 4, 1,
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The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2
By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.
The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.
Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:
1 + 1 = 2
Hence, based on the observed pattern, the next number in the sequence is 2.
Therefore, the completed list of numbers would be:
1, 1, 1, 2, 1, 4, 1, 2
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which must be true in order for the relationship zyx~wvu to be correct
Answers
In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:
Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.
Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.
These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).
Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.
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I WILL MARK BRAINLIEST PLS HELP ASAP
Math the graph with the correct equation
A. y + 3 = -(x+5)
B. y - 3 = -(x+5)
C. y - 5 = -(x+3)
D. y - 3 = (x+5)
Answers
Answer:
B
Step-by-step explanation:
\(m = \frac{0 - ( - 2)}{ - 2 - 0} = - 1\)
use the point (-5,3)
y-3=-(x-(-5)) = y-3= -(x+5)
Answer: B. y - 3 = -(x + 5)
Step-by-step explanation:
Find two easy points on the graph to calculate the slope:
(-2, 0)(0, -2)The slope is calculated using \(\frac{y_{2}-y_{1} }{x_{2}-x_{1}}\), so substitute in the values:
\((x_{1}, y_{1}) = (-2, 0)\\(x_{2}, y_{2}) = (0, -2)\\ \frac{y_{2}-y_{1} }{x_{2}-x_{1}} =\frac{(-2)-0}{0-(-2)} =\frac{-2}{0+2} =\frac{-2}{2} =-1\)
The y-intercept is where it intersects the y-axis. It's -2.
Therefore, if you put it together, the function would be y = -x - 2
Solve each answer choices and find the one that matches the function:
B.\(y-3=-(x+5)\\y-3=-x-5\\y=-x-5+3\\y=-x-2\)
if q= ut + ½ ft find q when u = 20, t= 10 and f= 13
Answers
Answer:
q=200+13×5=200+65=265
In the following diagram,
What is the measure of
∠x
Answers
Answer:
Step-by-step explanation:
BAD = 42
x + 103 + 42 = 180
x = 180 - 145
x = 35
Two rectangles are shown below. Rectangle P has a perimeter of 20 inches.
Rectangle Q has a perimeter of 30 inches.
Answers
Answer:
c) j=2 and h=4
Step-by-step explanation:
h+h+j+4+j+4=20
3h+3h+j+1+j+1=30
2h+2j+8=20
6h+2j+2=30
multiply the first equation by -3
-6h-6j-24=-60
this equals
-6h-6j=-36
6h+2j=28
-4j=-8
j=2
Since j=2
2h+2(2)+8=20
2h+12=20
2h=8
h=4
what is the radius of a circle whose equation is x2y28x6y210 2 units 3 units 4 units 5 units
Answers
The radius of the given circle is 2 units.
Here, we are given an equation of a circle as follows-
\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)
The general form of the equation of a circles is -
\((x- h)^{2}+ (y-k)^{2} = r^{2}\)
where (h, k) are the coordinates of the center of the circle and r is the radius of the circle.
Let us convert the given equation into the general form by completing the squares as follows -
\(x^{2}+ y^{2} + 8x - 6y + 21 = 0\)
\(x^{2}+ (2*4)x+ y^{2} - (2*3)y + 21 = 0\)
\(x^{2}+ (2*4)x+ 16 -16+ y^{2} - (2*3)y + 9 - 9+ 21 = 0\)
\([x^{2}+ (2*4)x+ 16] -16+ [y^{2} - (2*3)y + 9] - 9+ 21 = 0\)
\((x+4)^{2} -16+ (y - 3)^{2} - 9+ 21 = 0\)
\((x+4)^{2} + (y - 3)^{2} = 16 + 9 - 21\)
\((x+4)^{2} + (y - 3)^{2} = 4\)
\((x+4)^{2} + (y - 3)^{2} = 2^{2}\)
Thus, we have obtained the equation of the circle in the general form. From this, we can observe that the center coordinates will be (-4, 3) and the radius of the circle will be 2 units.
Therefore, the radius of the given circle is 2 units.
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Solve for b.
-9b = 27
Answers
Answer:
b=-3
Step-by-step explanation:
-9b/-9=37/-9
b=-3
Answer:
3
Step-by-step explanation:
One third divided by two and 1/2
Answers
Answer:
2/15
Step-by-step explanation:
1/3 / 2+1/2
1/3 / 5/2
1/3 * 2/5
2/15
Answer:
2/15
Step-by-step explanation:
if 7056 divided X is equals to 42; y divided 112 =8, then x/y is
Answers
Step-by-step explanation:
given
\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)
also given
\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)
therefore
\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)
The average waiting time to be seated for dinner at a popular restaurant is 23.8 minutes with a standard deviation of 6 minutes. What is the probability that 20 people will wait less than 21 minutes? Leave your answer exactly as it is taken from the table.
The probability that 20 customers will wait less than 21 minutes to be seated is
Answers
Using the normal distribution, it is found that there is a 0.3192 = 31.92% probability that 20 customers will wait an average of less than 21 minutes to be seated.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 23.8, \sigma = 6, n = 20, s = \frac{6}{\sqrt{20}} = 1.3416\)
The probability that 20 customers will wait an average of less than 21 minutes to be seated is the p-value of Z when X = 21, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{21 - 23.8}{6}\)
Z = -0.47
Z = -0.47 has a p-value of 0.3192.
0.3192 = 31.92% probability that 20 customers will wait an average of less than 21 minutes to be seated.
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Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?
Question 17 options:
30x larger
3x larger
10x larger
27x larger
Answers
Answer:
3x
Step-by-step explanation:
What is the compound interest if $47,000 is invested for 10 years at 8% compounded continuously?
Answers
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
Answers
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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Solve for x.
7x - = 6x -
O x = 1/4
Ox=1
Ox= -1
O x = -1/4
Will give brainly
Answers
Answer:
D. - 1/4
Step-by-step explanation:
Answer:
-1/4
Step-by-step explanation:
0.375=3/8 0.625=5/8
7x-0.375=6x-0.625
1x=-0.25
-0.25=-1/4
Mia hired a moving company. The company charged $500 or its services, and Mia gives the movers a 16% tip.
Answers
Answer:
The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580
Step-by-step explanation:
Find the next number in the pattern given below
-10, -2, 6, ____
Answers
-2 + 8 =6
6 + 8 = 14
answer is 14
Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
Answers
Step-by-step explanation:
the total area = the area of full circle + the area of parallelogram = (π ×(8/2)²) + (28×7)
= (3,14 ×16)+(196)
= 50,24 +196
= 246,24
= 246,2
-8 * f(0) + 4 * g(-8)
Answers
The value of the expression -8 * f(0) + 4 * g(-8) is -60
Complete questionIf the following equations represent the functions f(x) and g(x).
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate the value of -8 * f(0) + 4 * g(-8)
How to determine the value of the expression?We have:
f(x) = 2/3x + 7 and g(x) = 2x + 15
Calculate f(0) and g(-8)
f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15
Evaluate
f(0) = 7 and g(-8) = -1
Substitute the above values in the following expression
-8 * f(0) + 4 * g(-8)
So, we have:
-8 * 7 + 4 * -1
Evaluate
-60
Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60
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Answer:
-32
Step-by-step explanation:
khan academy said so
find the slope of the line that passes through (-3,-4) and (7,6)?
A.undefined
B.-1
C.0
D.1
Answers
Answer:
The answer is D.
Step-by-step explanation:
ABCD is a rectangle. CDE is a triangle. |AD|= 4cm. E is on |AB| such that |DC|=|DE|=5cm. Calculate |AE|
Answers
the value of k for the given right-angle triangles is 5.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Two right-angle triangles one of them has a height of 7 cm and a weight of 1 cm. While others have a height and base of the same measurement k.
The Hypotaneuse of the triangles is equal and the same.
From the general formula of the Pythagorean theorem
Hypotaneuse² = height + bsase²
in a triangle with a height of 7
Hypotaneuse² = 7² + 1²
Hypotaneuse² = 49 + 1
Hypotaneuse² = 50...(1)
In a triangle with a height of k
Hypotaneuse² = k² + k²
Hypotaneuse² = 2k²....(2)
Since Hypotaneuse is the same
From comparing both equations
50 = 2k²
k² = 25
k = 5
therefore, the value of k for the given right-angle triangles is 5.
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Which of the following expressions is equivalent to 50-70x?
SELECT ALL THAT APPLY
A.10(5-7x)
B.25(2-35x)
C.2(25-35x)
D.5(10-70x)
E.10(2-35x)