Step-by-step explanation:
If you're asking for an equation, the equation would be: [tex]y=-4x-3[/tex]
(probably what you're looking for) if you're looking for what y equals, the answer is: 9
for equation:
1. write an equation with the information you have
[tex]y=-4x+b[/tex]
2. Plug in the values for x and y
[tex]-7=-4(1)+b[/tex] where b equals -3
so your equation would be [tex]y=-4x-3[/tex]
for what y equals:
1. since you've figured out the equation, plug in the value for x and solve for y
[tex]y=-4(-3)-3[/tex] which then gives you [tex]y=9[/tex]
A tortoise is walking in the desert. It walks at a speed of 7 meters per minute for 87.5 meters. For how many minutes does it walk?
Answer:
12.5 minutes
Step-by-step explanation:
87.5 m / 7 m/min = 12.5 min
if 2.1x+4.2y=14.7 and
−5.7x−1.9y=−11.4
what is x and what is y?
Answer:
Step-by-step explanation:
Carey has already knit 2 centimeters of scarf, and can knit 1 centimeter each night. After
45 nights of knitting, how many centimeters of scarf will Carey have knit in total?
ensed
91
centimeters
Time
Answer:
47cm
Step-by-step explanation:
if she already has 2cm and can knit 1 more very night after 45 nights that leaves you with 45cm in scarf then you add the 2cm you already had.
Rashid has been purchasing bonds from a company that has recently gotten poor ratings for its ability to pay Its vendors. As a resu
Increased risk, the bond's interest rate has increased. What type of risk does Rashid face as an Investor?
A
taxability risk
• B.
Inflationary risk
C.
currency risk
D.
credit risk
Answer:
The answer is letter D, credit risk.
Step-by-step explanation:
A bond is considered to be a contract between two occurring parties. It allows companies to borrow money from people (investors). These investors purchase the bond and are given a certain interest for a particular period of time. The rate varies according to the economic situation or the company's standing. This affects the supply and demand for the bond.
Remember that the price of the bond and the interest rate are indirectly proportional. This means that as the price of the bond increases, the interest rate decreases and vice-versa.
In the situation above, Rashid is facing a credit risk as an investor. He has been purchasing bonds from a company that has recently gotten a poor rating. This means that the company is not performing well. This can affect the amount of money (including the interest) that will be paid back to Rashid. There is a chance that some of the amount of money he invested will not be returned to him. It was also mentioned that the bond's interest rate has increased. This means that the bond prices will decrease and thus the number of bond investors will also decrease. The issuer of the bond in this situation can have a hard time paying the investor back.
Answer:
D
Step-by-step explanation:
Dr. Johnson treated 1134 patients in 63 days.
About how many patients did she treat each day on the average?
Answer:
Dr. Johnson treated about 18 patients a day.
Step-by-step explanation:
1134 ÷ 63 = 18
On average, Dr. Johnson treated 18 patients each day.
Why?
1134/63=18
I hope this helped! If so, please mark brainliest!
The perimeter of a rectangle is 74 cm. The length of a rectangle is 5cm less than twice the width. Find the dimensions of the rectangle.
The width of the rectangle is 14 cm and the length is 23 cm.
Explanation:Let's assume the width of the rectangle is x cm. According to the question, the length is 5 cm less than twice the width, so the length would be 2x - 5 cm. The perimeter of a rectangle is calculated by adding up the lengths of all its sides. In this case, the perimeter is given as 74 cm, so the equation becomes:
2(x + 2x - 5) = 74
Simplifying the equation, we get:
6x - 10 = 74
Adding 10 to both sides:
6x = 84
Dividing both sides by 6:
x = 14
So the width of the rectangle is 14 cm, and the length is 2(14) - 5 = 23 cm.
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Astronaut that weighs 180 pounds at what distance from the center earth the astronaut weigh 1 pound.
Answer:
The height of the astronaut from the center of the Earth is 85865 km.
Step-by-step explanation:
It is assumed that the astronaut will be going towards space, so we have to find out that at what height from the center of the earth would the value of g will be [tex]\frac{g}{180}[/tex].
The weight of astronaut on the surface of Earth 180 pounds.
g=9.81 [tex]m/s^{2}[/tex]
Required value of g'=[tex]\frac{g}{180}[/tex]
g'=[tex]\frac{gR^{2} }{h^{2} }[/tex]
where R=Radius of the Earth
h=Height of the point from the center of the earth
[tex]\frac{g}{180} = \frac{gR^{2} }{h^{2} } \\\\h^{2} =180R^{2} \\h=\sqrt{180} R\\[/tex]
h=13.42
The value of R is approximately 6400 km.
So, h=85865 km.
The astronaut would need to be approximately 85,552 kilometers from the center of the Earth to weigh 1 pound.
Newton's law of universal gravitation is given by the formula:
[tex]F = G \frac{m_1 m_2}{r^2}[/tex]
Where:
[tex]F[/tex] is the gravitational force,[tex]G[/tex] is the gravitational constant [tex](6.674 \times 10^{-11} \text{Nm}^2/\text{kg}^2)[/tex],[tex]m_1[/tex] is the mass of the first object (the astronaut),[tex]m_2[/tex] is the mass of the second object (Earth),[tex]r[/tex] is the distance between the centers of the two objects.On Earth's surface, the weight of the astronaut is the gravitational force exerted by the Earth. This can also be expressed as:
[tex]Weight = m_1 \cdot g[/tex]
Where [tex]g[/tex] is the acceleration due to gravity (approximately [tex]9.8 \text{m/s}^2[/tex]).
Given that the astronaut weighs 180 pounds on Earth, we use the following relation to find the new distance where the astronaut's weight would be 1 pound:
[tex]180 \text{ pounds} \div r^2 = 1 \text{ pound}[/tex]
[tex]r^2 = 180[/tex]
[tex]r = \sqrt{180}[/tex]
However, we need this distance in terms of the Earth's radius [tex]( R_E )[/tex]. The Earth's radius is approximately 6,371 km.
Let's form the ratio:
[tex]\left( \frac{d}{R_E} \right)^2 = 180[/tex]
[tex]\frac{d}{R_E} = \sqrt{180} \approx 13.42[/tex]
Thus, the astronaut would need to be approximately 13.42 times the Earth's radius away from the center of the Earth to weigh 1 pound.
To convert this to an actual distance:
[tex]d = 13.42 \cdot R_E[/tex]
[tex]d \approx 13.42 \cdot 6371 \text{ km} \approx 85,552 \text{ km}[/tex]
You are helping a coworker with a presentation and he has asked you to print out memos on a variety of colored paper. 60 will be attending and he needs 60% of the memos to be blue, 20% to be red, 15% to be green, and 5% to be yellow. How many green memos do you need to print
Answer:
Step-by-step explanation:
60 will be attending......15% of the memos are green
so u need to print : 15% of 60.....turn ur percent to a decimal...." of " means multiply
0.15(60) = 9 <==== u need to print 9 green memos
The number of green memos is 9.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The number of green memos is calculated as:-
60 will be attending and 15% of the memos are green
print: 15% of 60.
0.15 x (60) = 9
The number of green memos will be 9.
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jamal's age is 3 more than 3 times Mike's age. Mike's age is 17 years less than Jamals agee. What is the sum of the ages of Mike and Jamal?
Jamal's age is 24
Mikes age is 7
so their ages together would equal 31
Answer:
The sum of the ages of Mike and Jamal is 31
Step-by-step explanation:
First we need to translate the questions into mathematical equation and then solve.
Let x be Jamal's age and y be Mike's age.
"Jamal's age is 3 more than 3 times Mike's age" can be written mathematically as;
x =3 + 3y ---------------------------------------------------------------(1)
"Mike's age is 17 years less than Jamal's age" can be written mathematically as ;
y = x - 17 -----------------------------------------------------------------(2)
Substitute equation (1) into equation (2)
y = 3 + 3y - 17
y = 3y - 14
subtract 3y from both-side of the equation
y - 3y = 3y - 3y - 14
-2y = -14
Divide both-side of the equation by -2
[tex]\frac{-2y}{-2}[/tex] = [tex]\frac{-14}{-2}[/tex]
y = 7
Mike is 7 years old
Substitute y = 7 into equation (1)
x = 3 + 3y
= 3 + 3(7)
= 3+21
=24
Jamal is 24 years old
The sum of their ages is = x + y = 24 + 7 = 31
Therefore, The sum of the ages of Mike and Jamal is 31
How can you use the point-slope form of a line when only given two points?
Answer:
If we already have two points of the line, we can find its slope ([tex]m[/tex]), its intersection with the y-axis ([tex]b[/tex]), hence its point-slope form equation in the following way:
Let's call Point 1: [tex](x_{1},y_{1})[/tex] and Point 2: [tex](x_{2},y_{2})[/tex]
The Slope equation is:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now, the equation of the line in its point-slope form is:
[tex]y=mx+b[/tex]
And we can find the intersection with the y-axis ([tex]b[/tex]) by evaluating the equation with any of the two given points and then isolating [tex]b[/tex].
The ratio of boys to girls in a math class is 18 to 11. Is that proportional to the science class with a ratio of 16 girls to 14 boys?
Question 10 options:
154 ≠ 288
224 ≠ 198
176 ≠ 252
Answer:
The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class
154=288
Step-by-step explanation:
Let
x ----> the number of boys
y ----> the number of girls
we know that
The ratio of boys to girls is x/y
we have
Math class
[tex]\frac{x}{y}=\frac{18}{11}[/tex]
Science class
[tex]\frac{x}{y}=\frac{14}{16}[/tex]
equate both ratios
[tex]\frac{14}{16}=\frac{18}{11}[/tex]
Multiply in cross
[tex]14(11)=18(16)[/tex]
[tex]154=288[/tex] ----> is not true
therefore
The ratio of boys to girls in a math class is not proportional to the ratio of boys to girls in a science class
the binomial 8x+6 is equivalent to
Using the Distributive Property
The answer would be 3.
2 *4x = 8x and 2 * 3 = 6, to get 8x 6
Multiply and simplify (x-9)(x-3)
Answer:
x2-12x+3
Step-by-step explanation:
=x(x-3)-9(x-3)
=x2-3x-9x+3
=x2-12x+3
HOPE IT HELPS U.............
What is an equation of the line that passes through the point (4, -1) and has
slope -5?
This is what my teacher says to do and i dont know how to solve it. Can anyone help?
Answer:
y + 1 = -5(x - 4)
y + 1 = -5x + 20
y = -5x + 19
Karachi earns $5 for each umbrella that he
sells and $3.50 for each rain poncho that he
sells. He earned $190 last week selling
ponchos and umbrellas.
Write an equation to represent the number
of umbrellas (u) and ponchos (p) he sold last
week.
The equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is 5u + 3.5p = 190
Solution:
Given that Karachi earns $5 for each umbrella that he sells and $3.50 for each rain poncho that he sells
Thus we can say,
Amount earned from 1 umbrella = $ 5
Amount earned from 1 rain poncho = $ 3.50
To find: equation to represent the number of umbrellas (u) and ponchos (p) he sold last week.
Let "u" be the number of umbrellas sold
Let "p" be the number of ponchos sold
He earned $190 last week selling ponchos and umbrellas
Thus we can frame a equation as,
number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190
[tex]u \times 5 + p \times 3.50 = 190\\\\5u + 3.5p = 190[/tex]
Thus the equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is found
To represent the number of umbrellas (u) and ponchos (p) sold by Karachi last week, the equation is 5u + 3.50p = 190.
Explanation:To represent the number of umbrellas (u) and ponchos (p) sold by Karachi last week, we can set up an equation based on the given information:
5u + 3.50p = 190
This equation represents the earnings from selling umbrellas (at $5 each) and rain ponchos (at $3.50 each) totaling $190. We can use this equation to find the values of u and p.
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Tracy deposited $59 into a bank account that earned 3.5% simple interest each year.
If no money was deposited into or withdrawn from the account, how much money was in the account after 112 years?
Round your answer to the nearest cent.
Enter your answer in the box.
$
/second questoin Vanessa deposited money into a bank account that earned 1.25% simple interest each year. After 12 year, she had earned $5.00 in interest on the account.
If no other money was deposited into or withdrawn from the account, how much was her initial deposit?
Enter your answer in the box.
$
Answer:
Step-by-step explanation:
1) Tracy:
P =$ 59 ; r =3.5% ; T = 12 years
SI = PrT/100
= 59 * 3.5 * 12 /100
= $24.78
Amount Tracy that will be after 12 years in her account = $ 59 +$24.78
= $83.78
A diagram of a concrete patio is shown, where each small square represents one square meter. Find the total area of the concrete patio.
Answer:
C
Step-by-step explanation:
The red bordered area is the patio. We need to find its area.
We will consider
If this was a square, full red square. Then we find the area of the square.
After that, we will subtract the white part that is not there to create the patio shape.
Hence,
Area of Patio = Area of Square - Area of White Portion
So,
Area of Square is Side * Side
If we look at the coordinates, x goes from 5 to 15, so side is 15 - 5 = 10
also, y goes from 5 to 15, so same, that is 10
Area of Square = 10 * 10 = 100
Now, the small white portion is also a square with length 5 (looking at coordinates),
So,
Area of White Portion = 5 * 5 = 25
Hence,
Area of Patio = 100 - 25 = 75 sq. meters
Correct answer is C
When a company dropships its products to customers following a Web-based purchase, they _____.
do not keep products in inventory; rather an order is sent to the manufacturer or distributor who then fills the order and sends it to the customer
maintain a fleet of aircraft and delivery vehicles that they use to ship worldwide overnight, dropping off the package to the consumer by 10:00 AM
drop or fail to fill the order
None of the above
Answer: on oddysey its
A) do not keep products in inventory; rather an order is sent to the manufacturer or distributor who then fills the order and sends it to the customer
Step-by-step explanation:
simplify 3(2x- 3xy) + 5x-5xy
Answer:
11x-14xy
Step-by-step explanation:
3(2x- 3xy) + 5x-5xy
=6x-9xy+5x-5xy
=11x-14xy
Answer: The answer is 11x-14xy
Step-by-step explanation:
3(2x- 3xy) + 5x-5xy
6x-9xy+5x-5xy
6x+5x-9xy-5xy
11x-14xy
Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the number?
(the three numbers is the same number)
Answer:
The numbers are -14,-13 and -12
Step-by-step explanation:
The correct question is
Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?
Let
x ----> the first consecutive integer
x+1 ---> the second consecutive integer
x+2 ---> the third consecutive integer
we have that
[tex]x+2(x+1)+3(x+2)=-76[/tex]
solve for x
apply distributive property
[tex]x+2x+2+3x+6=-76[/tex]
Combine like terms
[tex]6x+8=-76[/tex]
subtract 8 both sides
[tex]6x=-76-8[/tex]
[tex]6x=-84[/tex]
Divide by 6 both sides
[tex]x=-14[/tex]
so
[tex]x+1=-14+1=-13[/tex]
[tex]x+2=-14+2=-12[/tex]
therefore
The numbers are -14,-13 and -12
Use the example above and determine the fraction of total interest owed.
After the fifth month of a 12-month loan:
the numerator is: ((n +
) + (n +
) + (n +
3 =
, and
, and
the denominator is: [(n) + (n + 1) + ... + (n
Therefore, the fraction is numerator/denominator (to the nearest tenth)
Answer:
11
10
9
8
7
50
----------------
11
78
-----------------
64.1
Hope this helps :) -Zach
Step-by-step explanation:
To determine the fraction of total interest owed on a loan after the fifth month of a 12-month loan, calculate the numerator by adding the interest paid in each of the first five months, and the denominator by summing the interest amounts for all twelve months. Divide the numerator by the denominator to get the fraction (to the nearest tenth).
Explanation:To determine the fraction of total interest paid after the fifth month of a 12-month loan, we can use the Rule of 78. This rule states that the majority of the interest on a loan is paid in the early months of the term.
The formula for the Rule of 78 is:
(n + 5)(n + 4)(n + 3)(n + 2)(n + 1) / (n × (n + 1) × (n + 2) × (n + 3) × (n + 4))
where 'n' represents the number of payments remaining.
In this case, we have 7 payments remaining after the fifth month. Plugging this value into the formula, we get:
(7 + 5)(7 + 4)(7 + 3)(7 + 2)(7 + 1) / (7 × (7 + 1) × (7 + 2) × (7 + 3) × (7 + 4)) = 0.505
Therefore, after the fifth month of a 12-month loan, approximately 50.5% of the total interest has been paid.
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A.
discrete
B.
continuous
C.
linear
D.
nonlinear
E.
increasing
F.
decreasing
G.
both increasing and decreasing
H.
neither increasing nor decreasing
B. Continuous, D. Non Linear, And G. Both Increasing and Decreasing.
I think.
A system of equations is shown below:
4x = -3y + 17
3x - 4y = -6
Answer:
x = 2, y = 3 → (2, 3)Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}4x = -3y + 17&\text{add}\ 3y\ \text{to both sides}\\3x - 4y = -6\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=17&\text{multiply both sides by 4}\\3x - 4y = -6&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}16x+12y=68\\9x -12y = -18\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad25x=50\qquad\text{divide both sides by 25}\\.\qquad x=2\\\\\text{Put the values of }\ x\ \text{to the second equation}[/tex]
[tex]3(2)-4y=-6\\6-4y=-6\qquad\text{subtract 6 from both sides}\\-4y=-12\qquad\text{divide both sides by (-4)}\\y=3[/tex]
8. In 1986, an accident at the Chernobyl nuclear power reactor led to widespread
contamination of Cesium-137, a highly radioactive, man-made isotope of Cesium. It has a
half-life of 30.17 years, which means it decays at a rate of 2.3% per year. It is estimated
that nearly 191,500 kBq/m² was leaked during the disaster. How much of the material is
still radioactive now, 25 years later?
Answer:
79,342.061650646
Step-by-step explanation:
if 1/2 9f life is 30.17
complete life is 60.34
which property is shown by the rails of a railway track?
The correct answer is :
B) parallelism
The rails of a railway track demonstrate parallelism because they run alongside each other without intersecting, maintaining a constant distance apart. This allows trains to travel smoothly along the track without veering off course.
The complete question is here:
Which property is shown by the rails of a railway track?
A) perpendicularity
B) parallelism
C) intersecting lines
D) opposites
The point (2, 3) is in which quadrant?
HELP PLEASE!!
What is a line segment?
Step-by-step explanation: To understand what a line segment, we first need to introduce the most basic figure in geometry which is called a point. A point in usually labeled with a capital letter. For example, .A.
When we have two points such as points X and Y, we can introduce our next figure in geometry which is called a line segment. For example, segment XY. A line segment is defined as a figure that's composed of two points which are called the endpoints and all the points in between.
Segment XY can be represented as XY with a segment drawn over it like I have attached in in the image provided.
a 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider ?
1. Population: All adults with a mortgage provider.
2. Sample size: 1,627.
3. Margin error: Approximately 0.02.
4. Confidence interval (95%): 0.204 to 0.236
5. Proportion of adults fully engaged with their mortgage provider falls from 0.204 to 0.236.
Given that,
Gallup poll conducted in 2015
Sample size: 1,627 adults
Population: All adults with a mortgage provider
Percentage of adults who felt fully engaged with their mortgage provider: 22%
Confidence level: 95%
1. Population: All adults who have a mortgage provider.
2. Sample size: 1,627 adults.
3. Margin of error:
To calculate the margin error,
The sample size (n) and the confidence level.
Given that, the confidence level = 95%,
The margin error can be calculated using the formula:
The Margin of Error [tex]= Z \sqrt{(p (1-p) / n)}[/tex]
Assume a conservative estimation for p = 0.5 (since we don't have the sample proportion), and using a Z-value of 1.96 for a 95% confidence level,
The margin error would be:
The margin of error is,
[tex]1.96\sqrt{(0.5 (1-0.5) / 1627)} \approx 0.02[/tex]
Therefore, the 95% margin error is approximately 0.02.
4. 95% Confidence Interval:
Without the sample proportion, we cannot provide a specific confidence interval.
Assume a conservative estimate of p = 0.5,
Calculate the interval using the formula:
Confidence Interval = Sample Proportion ± Margin of Error
Given that,
The sample proportion is 0.22
The margin error is 0.016,
The 95% of the confidence interval is,
0.22 ± 0.016 = 0.24 or 0.2
5. Expressing the answer in a meaningful sentence:
With a 95% confidence level,
It can be estimated that the proportion of adults who feel fully engaged with their mortgage provider falls between 0.2 to 0.24.
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The complete question is:
A 2015 Gallup poll of 1627 adults found that only 22% felt fully engaged with their mortgage provider. 1. What is the population? 2. What is the sample size? 3. What is the 95% margin of error? 4. What is the 95% confidence interval? 5. Express your answer to 4 in a meaningful sentence.
after placing an equation into his calculator Rob got the following table. He then determine that X=6 when f (x) = -4 is he correct? explain
x | f(x)
——————
-4 | 6
——————
-2 | 3
——————
0 | -1
——————
2 | -4
Answer:
f(6) = - 4 is incorrect.
Step-by-step explanation:
In the given table the values of x and corresponding values of f(x) are given.
The ordered pairs are (-4,6), (-2,3), (0,-1) and (2,-4).
Now, we have to determine the function y = f(x) from any two of the given ordered pair.
The equation of the function is
[tex]\frac{y - 6}{6 - 3} = \frac{x - (- 4)}{- 4 - (- 2)}[/tex]
⇒ -2(y - 6) = 3(x + 4)
⇒ 2y + 3x = 0 ........... (1)
Now, putting x = 6 in the above equation (1), we get y = - 9
Therefore, f(6) = - 9
Hence, f(6) = - 4 is incorrect. (Answer)
Decide whether the two events are disjoint and tell why or why not:
• randomly drawing a jack from a standard deck of cards
• randomly drawing an ace from a standard deck of cards
Disjoint, because the events can occur at the same time.
Not disjoint, because the events can occur at the same time.
Not disjoint, because the events cannot occur at the same time.
Disjoint, because the events cannot occur at the same time.
Answer:
Disjoint, because the events cannot occur at the same time.
Step-by-step explanation:
disjoint events are mutually exclusive events.
if a and b are two events then a intersection b will be 0 . they cannot occur at the same time.
here in the given problem let the event A be randomly drawing a jack from a standard deckn of card and evnt B be randomly drawing an ace from a standard deck of card.
since in a same card jack and ace cannot occur they are disjoint events.
therefore randomly drawing a jack from a standard deck of cards and randomly drawing an ace from a standard deck of cards are disjoint events because the events cannot occur at the same time.
The two events are disjoint because a card from a standard deck cannot be both a jack and an ace at the same time. That is, these events cannot occur simultaneously.
Explanation:In the given scenario, the two events - randomly drawing a jack from a standard deck of cards and randomly drawing an ace from a standard deck of cards - are disjoint. This is because these are separate and distinct events which cannot occur simultaneously. In terms of probability theory, two events are considered disjoint if the occurrence of one event excludes the possibility of the occurrence of the other event. In a standard deck of cards, a card cannot be both a jack and an ace at the same time.
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