5 * 5 - 1 * 3
Since multiplication goes before addition in PEMDAS, we do the multiplication first.
25 - 3
2
Answer:
22
Step-by-step explanation:
5•5-1•3
(5 x 5) - (1 x 3)
25 - 3
22
You would multiply both separately and then subtract.
Remember PEMDAS
:)
Choose the best description of the transformations of
f (x) = { into g(x) = x+4
+ 5
Answer:
g(x)=f(x−h) g ( x ) = f ( x - h ) - The graph is shifted to the right h units. In this case, h=0 which means that the graph is not shifted to the left or right. The vertical shift depends on the value of k . ... g(x)=f(x)−k g ( x ) = f ( x ) - k - The graph is shifted down k units.
Step-by-step explanation:
Calculate 18% tip on a 6250 dinner bill
1. 1. Un botellón de agua se ofrece al público en vasos de 0,12 litros. Si del botellón se pueden servir 45 vasos, la cantidad de agua que cabe en el botellón esUn botellón de agua se ofrece al público en vasos de 0,12 litros. Si del botellón se pueden servir 45 vasos, la cantidad de agua que cabe en el botellón es: a) 54 litros b) 12 litros c) 5,4 litros d) 0,54 litros
Answer:
c) 5,4 litros
Step-by-step explanation:
Un vaso de agua contiene 0,12 litros de agua.
Una botella contiene 45 vasos de agua.
El volumen completo de agua de la botella se distribuye en 45 vasos por igual.
Entonces,
\(0.12\ \text{L}\times 45=5.4\ \text{L}\)
Por lo tanto, la cantidad de agua en la botella que se puede usar para servir 45 vasos es de 5.4 L.
Discuss the downsizing process in your own words and provide an
example.
Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.
Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.
During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.
While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.
It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.
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(Annulty number of periods) Youve just bought a new flas-screen TV for $3,400 and the stoce you booght it from offers to let you finance the entire purchase at an annual rate of 16 percent compounded monthly. If you take the fnancing and make monthy payments of $140, how long will is take fo poy off the loan? How much will you pay in interest over the Ifo of the loan? a. The number of years it will take to pay of the loan is years. (Round to one decimal place)
you will pay approximately $11,542 in interest over the life of the loan.
it will take approximately 82.3 months to pay off the loan.
To calculate the number of years, we divide the number of months by 12:
Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value of the annuity (total amount paid)
P = Monthly payment amount ($140)
r = Monthly interest rate (16% / 12 = 0.16 / 12 = 0.0133)
n = Number of periods (months)
We need to solve for n. Rearranging the formula, we have:
n = log((FV * r) / (P * r + P)) / log(1 + r)
Plugging in the given values:
FV = $3,400
P = $140
r = 0.0133
n = log(($3,400 * 0.0133) / ($140 * 0.0133 + $140)) / log(1 + 0.0133)
Calculating this expression:
n ≈ log(45.22) / log(1.0133)
Using a calculator, we find:
n ≈ 82.3
To calculate the number of years, we divide the number of months by 12:
Years ≈ 82.3 / 12 ≈ 6.9 (rounded to one decimal place)
So, it will take approximately 6.9 years to pay off the loan.
To calculate the total interest paid, we subtract the initial loan amount from the total amount paid:
Total interest = (P * n) - $3,400
Total interest = ($140 * 82.3) - $3,400
Total interest ≈ $11,542
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Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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Im confused help please
Answer:
It's the last answer choice.
Step-by-step explanation:
We need to solve for b, so divide each side by H, and then multiply each side by 2 to get rid of the 1/2
During a 36 - year period, lightning killed 2,457 people in the United States. Assuming that rate holds true today and is constant throughout the year. Find the probability that tomorrow: (a) No one in the United States will be struck and killed by lightning. (b) One person will be struck and killed.
(c) More than one person will be struck and killed.
Answer: A
Step-by-step explanation: This is how to solve: 3239 / (36 *365)
That's 0.246499239 kills per day, so none died
I hope this helped!
I could really use help on this, thanks frineds.
Answer:
awnser is 3 i think srry if im wrong
Step-by-step explanation:
Answer:4
Step-by-step explanation:
A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream?
A. A two-sample t-test for a difference between means
B. A chi-square test of independence
C. A linear regression t-test for slope
D. A two-sample z-test for a difference between proportions
E. A matched pairs t-test for a mean difference
Answer:
The significance test that would be used to investigate whether there is convincing evidence at 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream is option C;
C. A linear regression t-test for slope
Step-by-step explanation:
The linear regression t-test for slope is a test for determining the existence of a statistically significant linear relationship between two variables, a independent variable, X and an dependent variable Y in the following form;
Y = B₀ + B₁·X
The test is used to test the regression line slope where we have;
B₀ = The constant
B₁ = The slope also known as the regression coefficient
The given information tested in the question is if an increase in the peaches in the ice cream is associated with an increase in the density of the ice cream, therefore, the test to investigate the relationship between the rate of both variables is the linear regression t-test for slope.
Therefore, we have
Y = B₀ + B₁·X
Where;
X = The percentage of peaches in the ice cream
Y = The density of the ice cream
whats the solution to the given system of equations?
-5x+8y=-36
5x+7y=6
Answer:
x=4, y=-2
Step-by-step explanation:
-5x+8y=-36
5x+7y=6
eqn 1+ eqn 2 gives
15y=-30
divide both sides by 15
y=-2, put in eqn 2
5x+7(-2)=6
5x=20 divide both sides by 5
x=4
2x-3 = 15 Please tell me how to do this. I really need to know.
Answer:
x=9
Step-by-step explanation:
2x=15+3
2x=18
x=18/2
x=9
A tank contains 350 liters of fluid in which 50 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number
The number A(t) of grams of salt in the tank at time is: \(200 - 180e^{-1/40t}\)
How to determine the number of grams of saltTo determine the number of grams of salt in the tank at time t, we would apply the equation of state to have:
dA/dt = R(in) - R(out)
For R(out), we would have:
R(in) = 5g/min
R (out) = A/40 g/min
We would substitute these in the equation and apply a differential limit where A = 20 and t = 0
So,
20 = 200 + C
c = -180
Thus, the equation that expresses the rate = \(200 - 180e ^{-1/40t}\)
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Complete Question:
1. A tank contains 200 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.
A(t) = ____ g
The vectors (5,4) and (-7,k) are perpendicular find k
Four parallel lines are drawn in a rectangular sign. The sign is painted using two colors in an alternating pattern, as shown. Which statements must be true about the two congruent, shaded figures? Select two options. A rectangle is shown. 4 parallel lines are drawn diagonally from one side of the rectangle to the opposite side. The shapes formed by the parallel lines are colored in an alternating pattern. Group of answer choices The figures are quadrilaterals because each has four sides. The figures are trapezoids because each has exactly one pair of parallel sides. The figures are rhombi because they are formed by four congruent line segments. The figures are parallelograms because their opposite sides are parallel. The figures are rectangles because they are formed inside a rectangle.
Answer:
D & E
Step-by-step explanation:
The figures are parallelograms because their opposite sides are parallel
The figures are quadrilaterals because each had four sides
Answer:
D&E
Step-by-step explanation:
Edge 2021
If ∠A and ∠B are supplementary angles and ∠A is 78°, what is the measure of ∠B?
102 Degrees
Angle A and Angle B are supplementary to each other.
Angle A measure = 78 degrees
Find Angle B
We know that in a supplementary relationship between two angles, the sum of both of the angles are equal to 180 degrees.
Here we know that Angle A = 78 degrees
Angle B = 180 - Angle A = 180 - 78 = 102 degrees.
a cylinder with radius of 5ft has a volume of 314ft. Find its height
3.9979(depends on what place you need to round to
The equation is V=πr2h. First plug in what you know, 314=π5^2h. 5x5=25 and its multiplied with π. It would look like 314=25πh. Divide the 25π by both sides, leaving your h. Plug it into your calculator.
Check answer:
(I rounded the 4 to the nearest whole number) 4*25*π is approximately 314
Answer:
4 ft
---------------
Volume of cylinder formula:
V = πr²hGiven:
r = 5 ft,V = 314 ft³Find h:
314 = 3.14*5²h314 = 3.14*25hh = 314/(3.14*25)h = 4 ftThe difference between six times a
number and one is seventeen
Answer:
3
Step-by-step explanation:
17 + 1 = 18
18/6 = 3
Proofs by strong induction - explicit formulas for recurrence relations. info About Prove each of the following statements using strong induction. (a) The Fibonacci sequence is defined as follows: f0 = 0 f1 = 1 fn = fn-1 + fn-2, for n ≥ 2 Prove that for n ≥ 0, fn=15‾√[(1+5‾√2)n−(1−5‾√2)n]
The formula holds for n as well. By the principle of strong induction, the formula holds for all non-negative integers n os 15‾√[(1+5‾√2)n - (1-5‾√2)n].
To prove this using strong induction, we will first establish the base cases:
For n = 0: f0 = 0, and the formula gives 15‾√[(1+5‾√2)0−(1−5‾√2)0] = 0. So the formula holds for n = 0.
For n = 1: f1 = 1, and the formula gives 15‾√[(1+5‾√2)1−(1−5‾√2)1] = 1. So the formula holds for n = 1.
Now, assume that the formula holds for all values of k where k is a non-negative integer less than n. We want to show that the formula also holds for n.
Using the definition of the Fibonacci sequence, we have:
fn = fn-1 + fn-2
By the strong induction hypothesis, we can express fn-1 and fn-2 in terms of the formula:
fn-1 = 15‾√[(1+5‾√2)n-1 - (1-5‾√2)n-1]
fn-2 = 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2]
Substituting these into the definition of fn, we get:
fn = 15‾√[(1+5‾√2)n-1 - (1-5‾√2)n-1] + 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2]
We can simplify this expression using some algebraic manipulations:
fn = 15‾√[(1+5‾√2)n-1 + (1+5‾√2)n-2 - (1-5‾√2)n-1 - (1-5‾√2)n-2]
fn = 15‾√[(1+5‾√2)n-2(1+5‾√2) + (1-5‾√2)n-2(1-5‾√2)]
fn = 15‾√[(1+5‾√2)n-2 - (1-5‾√2)n-2(5‾√2)]
fn = 15‾√[(1+5‾√2)n - (1-5‾√2)n]
So the formula holds for n as well. By the principle of strong induction, the formula holds for all non-negative integers n.
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PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .
Answer:
a200
Step-by-step explanation:
what is the most uninteresting of all the periodic elements
Each element has its own story to tell and potential applications to explore, making the study of chemistry and the periodic table an endlessly fascinating endeavor.
However, it is important to note that the concept of "uninteresting" is subjective and can vary from person to person. What one individual may find uninteresting, another might find fascinating.
Therefore, it is not accurate or fair to label any specific periodic element as the "most uninteresting."
Every element on the periodic table has its own unique properties, characteristics, and applications. Each element contributes to the vast diversity of the chemical world and plays a crucial role in various fields such as chemistry, physics, biology, and materials science.
Whether it's the inert noble gases, the reactive alkali metals, or the versatile transition metals, each element offers its own significance and contributes to our understanding of the natural world.
It is more appropriate to approach the periodic table with curiosity and appreciate the remarkable array of elements, rather than singling out one as uninteresting.
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Write the equation of the line that contains the point (-8,6) and has the same slope as the line represented by the table of values below.
step 1
Find the slope of the line represented by the table of values
take the points
(-8,13) and (-4,5)
m=(5-13)/(-4+8)
m=-8/4
m=-2
step 2
Write the equation of the line that contains the point (-8,6) and has the same slope as the line represented by the table
y=mx+b
we have
m=-2 -----> the same slope of the given line
point (-8,6)
substitute in the equation of the line in slope intercepot form
6=-2*(-8)+b
solve for b
6=16+b
b=-10
therefore
teh equatiion of the line is
y=-2x-10help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola that similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5
The equation of the parabola
f(x) = \(7x^2\)
The standard vertex form of a parabola is
y = \(a(x-h)^2\) + k
The coordinates of the vertex of a parabola = (3, 5)
Where (h, k) is the coordinates
From the given function of the parabola f(x) = \(7x^2\)
The value of a = 7
Substitute the values in the vertex form of a parabola
y = \(7(x-3)^2\) + 5
Hence, the equation of the parabola that is similar to f(x) = \(7x^2\) but the vertex is (3, 5) in the standard form is y = \(7(x-3)^2\) + 5
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A bean plant grows at a constant rate for month. After 10 days, the plant is
25 centimeters tall. After 20 days, the plant is 45 centimeters tall.
Which equation models the height of the plant, y, after x days?
Answer:
D or y-25=2(x-10)
Step-by-step explanation:
If you graph all or the answers the only one that hits both points is D.
Bridget's mom offered to pay her $5.00 to clean out the refrigerator and freezer, and if she got it done before dinner time at 6:00pm, she would receive a 20% bonus. Not one to pass up an opportunity, Bridget cleaned the refrigerator and freezer by 5:00pm. What is the total amount Bridget received from her mom?
Answer:
$6.00
Step-by-step explanation:
initial pay = $5.00
as she finished cleaning before 6:00pm
bonus = 20% * 5.00
= 20/100 * 5.00
= $1.00
so total pay is 5 + 1
= $6.00
Answer/Step-by-step explanation:
Given:
$5.00
Before 6:00pm = 20% Bonus
Bridget cleaned the refrigerator and freezer by 5:00pm.
To Find:What is the total amount Bridget received from her mom?
Solution: Since Bridget got done before 6:00 pm she get 20% Bonus..
Bonus = 20% * 5.00
= 20/100 * 5.00
= $1.00
Hence, Total amount Bridget received from her mom is 5 + 1= $6.00
Answer: $6.00
\(\left[RevyBreeze]\)
In 2010, the population of a city was 234,000. From 2010 to 2015, the population grew by 6%. From 2015 to 2020, it fell by 3%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
\( 234000(1.06) - 234000 = 14040\)
From 2010 to 2015, the population grew by about 14,000 people.
Find the number of ways in which three girls can be selected from a group of three girls and four boys
Step-by-step explanation:
p=n!/(n-r)
p=7!/7!- 3!
p=7*6*5*4!/4!
p=7*6*5
p=42*5
p=210ways
Which do you pick and why? How much money do you end up with in each case?
Answer:
2
Step-by-step explanation:
Because if you get 1 per day there is 24 hours meaning there is going to be 17,280 in 30 days so you end up making more in 30 days by getting 1,000,000
Please help what’s the answer ??
Answer:
x = 8
In all the boxes, you will first subtract 8 with 2, which will be 6. Then you will add them.
6 + 6 + 6 = 18
Select from the drop-down menu to correctly complete the statement.
The product of 5 and 7/8 is
Choose...
A. greater than 5
B. less than 5
C. equal to 5
because 7/8 is less than 1.
Answer:
c
Step-by-step explanation:
hope it helps u have a good day
Answer:
correct answer is A ..because it passed 5 and about to reach 6 ..only 1/8 left to be 6