Answer:
The y-intercept is (0,-3
Step-by-step explanation:
Y=mx+bY= 1.5x-4.5So (0,-3) is the y-intercept.Step-by-step explanation:
to find the y intercept you simply equate x to 0. therefore, the y intercept is -4.5
and its coordinate is:
(0, -4.5)
PLEASE HELP!! 50 POINTS!! If you're not going to help, please don't answer.
Part A
A geometric sequence is where the terms increase by the same ratio.
Example:
7, 14, 28, 56, ...
We start at 7 and double each term to get the next term. The common ratio is 2.
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Part B
The next step is to subtract the two equations straight down. This will cancel the vast majority of the terms, and allow to solve for [tex]S_n[/tex] to get a fairly tidy formula. Refer to part C for more info.
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Part C
[tex]S_n = a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\\\\rS_n = a_1r + a_1r^2 + \ldots + a_1r^{n-1} + a_1r^n\\\\rS_n - S_n = \left(a_1r + a_1r^2 + \ldots + a_1r^{n-1}+a_1r^n\right)-\left(a_1 + a_1r + a_1r^2 + \ldots + a_1r^{n-1}\right)\\\\S_n(r - 1) = a_1r^n - a_1\\\\S_n = \frac{a_1r^n - a_1}{r-1}\\\\S_n = \frac{-a_1(r^n - 1)}{-(-r+1)}\\\\S_n = \frac{a_1(1-r^n)}{1-r}\\\\[/tex]
For more information about the canceling going on from step 3 to step 4, see the attachment below.
The following table shows the first two years of a three-year amortization schedule. a 3-year amortization schedule. the payments are the same, the principal increases, the interest decreases, and the balance decreases over the 3 years. use the information in the table to decide which of the following statements is true. a. the interest amount increases each month. b. the principal amount decreases each month. c. the payment amount changes each month. d. the payment amount each month stays the same.
The true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
What is an increasing amount?Amount whose value increases from its past value is called increasing amount.
The missing table is attached below.
Checking the validity of each option:
Option a: the interest amount increases each month.We see from the table that interest in each previous month is bigger than next month, for example, in first month, it was $56.33, and in next month, it was $54.99, so interest is decreasing.
Thus, this option is not correct.
Option b. the principal amount decreases each month.The principal amount in any previous month is smaller than the next month principal amount. For example, in first month, the principal amount was $184.96 and in next month, it became $186.33, so the principal amount is increasing.
Thus, this option is not correct.
Option c. the payment amount changes each month. Option d. the payment amount each month stays the same.Option C is false and option D is true. It is because the payment is constant $241.32(iie, it doesn't change, and therefore stays the same) in each of the months.
Thus, the true statement regarding the facts provided in the table is given by: Option D: the payment amount each month stays the same.
Learn more about comparison of numerical quantities here:
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What is the measure of the missing angle?
Answer:
The missing angle = 113°
Step-by-step explanation:
Let the missing angle be x
Sum all angles in a triangle = 108°
34° + 33° + x° = 108°
x° = 108° - 34° - 33°
x° = 113°
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Answer:
[tex]\tt x=113^o[/tex]
Step-by-step explanation:
We know that the sum of angles in a triangle is always 180°.
So the sum of the three angles must be 180°.The two angles you know measure 34° and 33°.
Now, let's write an equation and find the measure of the unknown angle:-
[tex]\tt 34^o+33^o+ x=180^o[/tex]
[tex]\tt 67^o+x=180^o[/tex]
[tex]\tt x=180^o-67^o[/tex]
[tex]\tt x=113^o[/tex]
Therefore, the measure of the missing angle is 113°.
The next three terms of the following sequence -2, -1, -1/2, -1/4,… is -1/8, -1/16, -1/32
True
False
Answer:
true. each number is being divided by 1/2
X 38
Question 2
1 pts
Mrs. Lesser has a jar full of p pennies, n nickels, and d dimes. The total value of the coins can be expressed as
0.01p + 0.05n + 0.1d. Which phrase describes the expression that represents the total value of the coins?
Which one of these is correct
the product of three sums
the sum of three products
the product of three products
o the sum of three sums
Answer:
the sum of three products
What is the minimum value for g(x)=x2−10x 16? enter your answer in the box.
The function g(x) = x² - 10x + 16 is a quadratic function whose vertex is a minimum, and the minimum value for g(x) = x² - 10x + 16 is -9
How to determine the minimum value?The function is given as:
g(x)=x² - 10x + 16
Differentiate the function
g'(x) = 2x - 10
Set the function 0
2x - 10 = 0
Add 10 to both sides
2x = 10
Divide by 2
x = 5
Substitute 5 for x in g(x)
g(5)=5² - 10*5 + 16
Evaluate
g(5) = -9
Hence, the minimum value for g(x)=x² - 10x + 16 is -9
Read more about quadratic functions at:
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The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?
The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%
One standard deviation above the mean
1 std above mean = M + d = 43.8 + 5.1 = 48.9
One standard deviation below the mean1 std below the mean, = M - d = 43.8 - 5.1 = 38.7
Probability of normal distributionThe probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%
Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.
Learn more about normal distribution here: https://brainly.com/question/26678388
Answer:
A, 68%
Step-by-step explanation:
edge
I need it quickly
which graph could represent the system of equations 4x+2y=8 and 3x-y=1?
Answer:
E
I use Desmos graphing to solve this
^● ●^
lara makes salad dressing by mixing 8
spoonfuls of oil and some vinegar. The tape
diagram shows the ratio of oil to vinegar.
Answer:
3:6
Step-by-step explanation:
8 ÷ 4 = 2
2 ÷ 1 = 2
6 ÷ 3 = 2
Answer:
1. 2:8
2. 1:4
3. 3:12
Step-by-step explanation:
There are 2 parts of oil for every one part of vinegar.
2+1=3
The ratio is made up of 3 total parts.
The part to whole ratio of oil to total is 2:1.
We are looking for an equivalent ratio that has 8 spoonfuls of oil.
If we have 4 times as much oil, we also need 4 times as much vinegar.
Also, we will have 4 times as much total dressing.
2x4=8
1x4=4
3x4=12
Fill in the missing values for the factored expression.
2x2 + 4x
=________(x+2)
*hint: find the GCF
Answer:
2x(x+2)
Step-by-step explanation:
You start driving west for 3 miles, turn right, and drive north for another 13 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13.3 miles to nearest 1/10.
Step-by-step explanation:
The journey forms a right triangle so by Pythagoras:
d^2 = 3^2 + 13^2
d^2 = 9 + 169
d^2 = 178
d = 13.34 miles.
A rectangular piece of paper with length 30cm and width 12cm has two semicircles cut out of it, as shown below.
Find the area of the paper that remains. Use the value 3.14 for PI, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:88.5cm
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Step-by-step explanation:
Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth.
Answer: 6.3
Step-by-step explanation:
6/25 simplest form explain please on how to do ittt
Answer:
0.24
Step-by-step explanation:
6 divided by 25 = 0.24
What mistake did Lindsay make?
Answer:
Step-by-step explanation:
Discussion and Correction
The algrebra itself is fine. The exclusions are not so good. The difficulty comes in the denominator. It factors into (2x)(x - 3). x cannot take on a value of 0 (that was pointed out and that is correct). The problem comes in the plus/minus 3. Plus 3 is correct. x - 3 will come 0 if x = 3. Nothing bad will happen if x = - 3
Answer: So the exclusions in the denominator should be modified to x = 3.
Answer:
The excluded values are x-values that make the denominator of the original expression zero, since [tex]\dfrac{a}{0}[/tex] is undefined.
[tex]x = -3[/tex] is not an excluded value since this x-value does not make the denominator zero.
[tex]x = -3[/tex] makes the numerator zero, but as [tex]\dfrac{0}{a}=0[/tex] it is not an excluded value.
Therefore, step 3 of her work should read:
[tex]\textsf{Finding excluded values}:x\neq 0\:\textsf{and}\:x\neq 3[/tex]
1) the base of the rectangular prism is shaded what is the lateral surface area
ignore number 5
Answer:
the lateral surface area is11ftStep-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧An item is regularly priced at $76. It is now priced at a discount of 80% off the regular price.
Answer:
Sale price:
The price after the original price has been discounted.Our goal is to find the sale price.
We could use either of the two methods shown below:
Find what the discount price is, and reduce that off the original price.
Or
Simply find the sale price by finding the leftover percentage of the discount and multiplying it by the original price.
Let's use the second technique.
The leftover percentage of 80% is 20%, because;
100 - 80 = 20%.
Now multiply this percentage with the original price:
20%(can be considered 20/100), so
20/100 × $76
= 15.2, the sale price of this item is $15.20!
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The figure pictured below is made of a cylinder and a hemisphere. Its volume can be determined using the following formula, in which r is the radius and h is the height
of the cylinder. Determine the volume of the figure. Show your work
Answer:
395.64 m³
Step-by-step explanation:
Volume (figure)
Volume (hemisphere) + Volume (cylinder)2/3πr³ + πr²hπr² (2/3r + h)3.14 x 9 (2 + 12)3.14 x 9 x 143.14 x 126395.64 m³Answer:
The answer is 396m^3.
Step-by-step explanation:
The solution is in the attached file
Which of the three situations given below is best modeled by an exponential function?
I. A bacteria culture doubles in size every day.
II. A plant grows by 1 inch every 4 days.
III. The population of a town declines by 5% every 3 years.
I. The bacteria culture doubles in size every. day
m+ 7 = 3 + m+4
A. m =1/4
B. m =-7
C. no solution
D. infinite solutions
Answer:
D. infinite solutionsStep-by-step explanation:
Given equation
m + 7 = 3 + m + 4Simplify it to get
m + 7 = m + 7We have both sides equal, if we simplify further it will result in correct equation
0 = 0Regardless the value of m, the equation remains correct. It means it has infinite solutions
Correct choice is D
Both sides are equal equation has infinite solutions
Option DEvaluate the expression
Answer:
36
Step-by-step explanation:
Given expression:
[tex](10 - 3 + 5)^{2}} \times \dfrac{1}{4}[/tex]
Simplify the expression in the parenthesis
[tex]\implies (12)^{2} \times \dfrac{1}{4}[/tex]
Simplify the exponents in the expression:
[tex]\implies (12) \times (12) \times \dfrac{1}{4}[/tex]
[tex]\implies 144 \times \dfrac{1}{4}[/tex]
∴ Recall that: (a × 1/b = a ÷ b)
[tex]\implies 144 \div 4[/tex]
Simplify the expression:
[tex]\implies 144 \div 4[/tex]
[tex]\implies \boxed{36}[/tex]
Answer:
C) 36
Step-by-step explanation:
Given expression:
[tex]\dfrac14(10-3+5)^2[/tex]
Following the order of operations, carry out the operations inside the bracket first:
[tex]\implies \dfrac14(7+5)^2[/tex]
[tex]\implies \dfrac14(12)^2[/tex]
Now carry out the exponent:
[tex]\implies \dfrac14(144)[/tex]
Finally:
[tex]\implies \dfrac{144}{4}=36[/tex]
can you pls help meeeee look at the picture below the question is there
Answer:
40
Step-by-step explanation:
The angle represented with x is the supplementary the interior with the measure of 160 so x = 20
if it's going to be increased by 20 degrees the new measure of the angle will be 40
The graph of an inequality has an open circle at 8, and the ray moves to the right. What inequality is graphed?
x>8
x>8
x<8
Answer: Hello there!
The open circle means that the set does not contain that extreme, so with this information, you could discard the third and fourth options.
The ray moves right, in the usual notation, the real numbers increase to the right, then, in this case, we are looking at the set of numbers bigger than 8, that does not contain the number 8.
then the inequality graphed is x > 8, and this means that the right answer is the first option.
Answer: x > 8
I also had the same question and got it right
A basketball team visited a store. There are 12 team members in all. Each team member bought 2 wristbands and 1 headband. Let w
represent the cost of a wristband and h represent the cost of a headband.
Which two expressions represent the total amount of money spent by the team?
A. 12w + 12h
B. 12w + 24h
C. 24w + 12h
D. 12 (2h+w)
E. 12(2w + h)
Which equation best represents the relationship between x and y in the graph?
Answer:
A is the answer
Step-by-step explanation:
Here is one way pick two easy points (-4,0) and (0,-3)
and sub into each of the equations until you find the one that 'fits'
What is the approximate perimeter that
Answer:
30 units
Step-by-step explanation:
b1 = 6
b2 = 10
h1 = 7
h2 ≈ 7
6 + 10 + 7 + 7 = 30 units
Hope this helps!
what type of bias can occur
survey question “how many words per minute can you read?”
People may have a bias towards whether they read fast or slower on purpose because they believe they will retain more information that way (each person is different). If your taking a wpm test, for example, you won't pay attention to comprehension, only speed. Another bias is the type of book your reading and whether you enjoy it. Studies prove that you tend to soak in more information and read faster when you are enjoying the book.
A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. the resulting cross section is .
The cylinder that is sliced by the plane which is not parallel to the base of the cylinder and intersects only at the lateral surface is called an ellipse.
What is the formation of an Ellipse in a Cylinder?When a cylinder with a longitudinal axis (z) is sliced at an angle to the xy plane, an elliptical shape is created.
In a circle, every plane crosses a circular cylinder perpendicularly to its axis. A plane that is neither at right angles to the axis nor parallel to it, crosses the cylinder in an elliptical shape.
Learn more about an ellipse here:
https://brainly.com/question/26679189
Answer:
It is an ellipse.
Step-by-step explanation:
Plato/Edmentum
Sara randomly took one cookie each from two different plates of cookies the first plate has 4 chocolate cookies 5 oatmeal raisin cookies and 3 sugar cookies the second plate had 4 oatmeal raisin cookies 5 sugar cookies and 3 chocolate chip cookies what is the probability that Sara ended up with 2 sugar cookies i need this in a fraction form
What number, when divided by 6, is equivalent to 15?
n=90
n=5/2
n=4
n=15
Answer:
90
Step-by-step explanation:
15+15=30
3x30=90
Therefore, the answer to what divided by 6 equals 15 is 90. You can prove this by taking 90 and dividing it by 6, and you will see that the answer is 15. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 15?", all you have to do is multiply the two known numbers together.
Therefore, n=90 is your correct answer