s ≥ 160 is representing the train's cruising speed .
Since we are given the information that The cruising speed of the bullet train will be more than 160 miles per hour, which is related to inequality, so for the given problem the speed of the train needs to have speed equal to or higher than 160, considering s to be the cruising speed of the train in the terms of miles per hour, so the way we can represent is :
s ≥ 170 , where the symbol stands for greater and equal sign and inequality.
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An elevator was on floor number 27 of a hotel building when a guest on a different floor pushed the button to call the elevator. Over the next few minutes the elevator traveled up 6 floors, down 11 floors, up 3 floors, up 5 floors, and then down 14 floors. Write and evaluate an expression that models the situation. On what floor did the elevator finally stop?
The elevator finally stopped on the 16th floor.
What are expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one mathematical operation. This math operation can be addition, subtraction, multiplication, or division. An expression has the following structure: (Number/variable, Math Operator, Number/variable)So, the expression would be:
6x - 11x + 3x + 5x - 14x = 2714x - 25x = 27-11x = 27Now,
27 - 11 = 16Therefore, the elevator finally stopped on the 16th floor.
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Does this graph represent a function? why or why not ?
Answer:
C- Yes, because it pases the vertical line test.
Step-by-step explanation:
It passes through one point exactly.
3(a + 4) – 5(a – 2) = 22
\(\text {Hey! Let's Solve this Problem!}\)
\(\text {\underline {The First Step is to Simplify}}\)
\(\text {3*a=3a \rightarrow {3*4=12}}\)\(\text {3*a=3a}\\\text {3*4=12}\)
\(\text {-5*a=-5a}\\\text {-5*-2=10}\)
\(\text {Your New Problem Is: 3a+12+-5a+10=22}\)
\(\text {\underline {The Next Step is to Combine Like Terms}}\)
\(\text {3a+-5a=-2a}\\\text {12+10=22}\)
\(\text {Your New Problem Is: -2a+22=22}\)
\(\text {\underline {The Next Step is to Subtract 22}}\)
\(\text {-2a+22-22=22-22}\)
\(\text {Your New Problem Is: -2a=0}\)
\(\text {\underline {The Final Step is to Divide 2}}\)
\(\text {-2a/2=0/2}\)
\(\text {Your Answer Would Be:}\)
\(\huge\boxed {a=0}\)
\(\text {Best of Luck!}\)
Answer:
0
Step-by-step explanation:
3(a + 4) - 5(a - 2) = 22
3a + 12 - 5a + 10 = 22
-2a + 22 = 22
-2a = 0
a = 0
I hope this helps you :)
6 of the children in Bernie's class have a blue block. 5 children have an orange block, and 3 children have both a blue block and an orange block. How many children have an orange block but not a blue block?
Answer:
Step-by-step explanation:
it might be 2.
What is the converse of:
If a = b and b = c , then a = c
what is the area of the circle?
Answer:
A = 90.25π
Step-by-step explanation:
Area of a circle = \(\pi r^2\)
r = 9.5
A = 90.25π
Answer:
\(\pi \times 9.5 {?}^{2} \)
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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how many miles can you drive, if your car gets 25.00 miles per gallon and you have 12.00 gallons of gas?
3 × 10² miles can you drive, if your car gets 25.00 miles per gallon and you have 12.00 gallons of gas.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.
Given that,
car gets 25.00 miles per gallon.
In 1 gallon car covers 25 miles distance.
In 12 gallon the car will cover = 25 × 12 miles distance
= 300 miles distance.
Thus, distance covered in 12 gallons = 300 miles.
= 3 × 10² miles.
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Type the correct answer in the box.
Step-by-step explanation:
4 triangles bh/2=area
2 x 2/2 = 2
2 x 4triangles = 8 units
two rectangles bh=area
2 x 6 = 12
12 x 2rectangles = 24 units
last rectangle is bh
6 x 8 = 48 untis
24+48+8=80 units
What is the solution for x in the equation?
-2x+14+10x=34
Answer: The solution of x is 2.5
Step-by-step explanation: hope it helps:)
Answer: \(x=\frac{5}{2}\)
Step-by-step explanation:
Simplify the expression:
\(-2x+14+10x=34\)
\(\left(-2x+10x\right)+14=34\)
\(8x+14=34\)
Group all constants on the right side of the equation:
\(8x+14-14=34-14\)
\(8x=34-14\)
\(8x=20\)
Isolate the x:
\(\frac{8x}{8}=\frac{20}{8}\)
\(x=\frac{20}{8}\)
\(x=\frac{5\cdot 4}{2\cdot 4}\)
\(x=\frac{5}{2}\)
The \(CORRECT\)answer to this solution is: \(x=\frac{5}{2}\)
\(calderonj4588~:)\)
when testing the difference between two independent samples, which test occurs when the null hypothesis states the difference between the parameters is less than or equal to zero, and the alternative hypothesis states that the difference is greater than zero?
The alternative hypothesis states that the difference is greater than zero.
What Are Tails in a Hypothesis Test?
First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.
For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.
Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.
Hence the answer is the alternative hypothesis states that the difference is greater than zero.
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the sum of three numbers is 2020. the first is four times the sum of the other two. the second is seven times the third. what is the product of all three?
28 is the product of all three numbers .
What are the algebraic expressions ?An algebraic expression is the idea of using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.
Calculation3rd = x
2 nd = 7x
1 st = 4(x + 7x ) = 32x.
x + 7x + 32x = 20
x = 1/2.
we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.
28 is the product of all three numbers
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Is 37 squared rational or irrational
Answer:
yes
Step-by-step explanation:
Answer:
it is irrational
Step-by-step explanation:
Bookwork code: P67
Line AB below is 12 cm long.
Line AC is 18 cm long.
Line BE is 10 cm long.
Calculate the length of line CD.
Give your answer as an integer or as a fraction in its simplest form.
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The length of line CD is 15 cm.
To calculate the length of line CD, we can use the property of similar triangles.
In triangle ABC, we can see that triangle ABE is similar to triangle ACD.
Using the property of similar triangles, we can set up the following proportion:
AB/AC = BE/CD
Substituting the given values:
12/18 = 10/CD
To solve for CD, we can cross-multiply and solve the resulting equation:
12 × CD = 18 × 10
CD = (18 × 10) / 12
CD = 180 / 12
CD = 15
Therefore, the length of line CD is 15 cm.
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Simplified form of expression 125 2/3
Answer:
377/3
Step-by-step explanation:
In general if we have a fraction ( mixed) as ,
\(a\dfrac{c}{d}\)
Then the improper fraction will be ,
Improper fraction :-
\(\dfrac{ d\times a + c}{d} \)
Using this concept we have ,
→ 125 ⅔
→ 125 × 3 + 2 / 3
→ 375 + 2/3
→ 377/3
Hence the simplified form of the expression is 377/3 .I need help fast plss
The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°
Finding the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The transversal lines and the other lines
So, we have
∠1 = 180 - 53
Evaluate
∠1 = 127°
Also, we have
∠5 = 53°
By vertical angles, we have
∠2 = 53°
∠3 = 127°
Next, we have
∠4 = 127 - 90°
∠4 = 37°
Solving further, we have
∠6 = 90°
By corresponding angles, we have
∠7 = 37°
∠9 = 180 - 90 - 53°
∠9 = 37°
∠10 = 90 + 53°
∠10 = 143°
∠8 = 143°
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the lower class limit represents the smallest data value that can be included in the class.True/False
the lower class limit represents the smallest data value that can be included in the classThe statement is true.
The lower class limit is the smallest value that can be included in a class interval.
Therefore, the statement is correct.
The lower class limit represents the smallest data value that can be included in a particular class. In a frequency distribution table, data values are grouped into classes, and each class has a lower and upper class limit. The lower class limit denotes the lowest value within that class, and any data value equal to or greater than the lower limit but less than the upper limit falls into that class.
The statement is true, as the lower-class limit indeed represents the smallest data value that can be included in the class.
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Simplify the expression .
After simplifying the given expression, the exponent of x is(_)
and the exponent of y is(_)
Answer:
x^33 y^0 x is to the 33 y is to the 0
Step-by-step explanation:
Answer:
^33
y^0
Step-by-step explanation:
First simplify x^8y/x^-39
Which then gets you
x^47 y^-26'/x^14 y^-5 y^-21
Then you simplify x^47/x^14
Which gets you
x^33 y^26/y^-5 v^-21
Then simplify y^-26/y^-5
Which gets you afterwards
x^33/y^21 y^-21
Then you just simplify the numbers that are left x^33/y^21 y^-21
Then you get
X^33
(and since x^33 equals y^0 then)
Y^0
Hope this helped!
please help this is geometry and I am not quite sure how to solve this one
Answer:
x = 1
y = 1.7
z = 60⁰
work:
z = 60 because the three angles add to 180⁰ and 180⁰ - 90⁰ - 30⁰ = 60⁰
in a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg, so x = 1.
the longer leg is the short leg * Sq rt of 3
Sq rt of 3 to the nearest tenth is 1.7, so 1.7 * 1 is still 1.7, so y = 1.7.
Solve:
x+ 10 - 5 = -9
Find the derivative of the function f(x), below. It may be to your advantage to simplify before differentiating. f(x)=ln(14-e^-2x). f'(x)
To find the derivative of the function f(x), we need to take the derivative of the natural logarithm (ln) of the function. We can do this by using the chain rule, which states that the derivative of the composition of two functions is equal to the derivative of the outer function times the derivative of the inner function.
The derivative of the outer function (ln) is 1/f(x), and the derivative of the inner function (14 - e-2x) is -2e-2x. So the derivative of f(x) is:
f'(x) = 1/f(x) × (-2e-2x)
f'(x) = 1/(ln(14 - e-2x)) × (-2e-2x)
f'(x) = -2e-2x/(14 - e-2x)
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The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed was Mr. Gerard driving before the curve? Please write your inequality.
Answer:
x ≤ 25mph
Step-by-step explanation:
Given that :
Speed limit drops to 15 miles per hour at curve
Driver slows down by 10 miles per hour as he drives around the curve
The driver's speed before reaching the curve is :
Let speed befure curve = x
Lowest speed before curve = 15 +. 10 = 25 mph
x ≤ 25mph
An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following.
C = 25 p
What is the cost of admission for a group of 3 people?
Answer:
75 dollars.
Step-by-step explanation:
Each person costs 25 dollars and p=3 we just put this into a equation.
25 × 3 = 75
C = 75
Solve for s.
2/3s+5/6s=21
Answer:
s=14
Step-by-step explanation:
Answer:
s=14
Step-by-step explanation:
Let's first get rid of denominators by multiplying both sides by 6. Then it's simply a matter of adding up what's left and simplifying.
\(6(\frac23s+\frac56s) = 6(21)\\4s+5s=126\\9s=126 \rightarrow s = \frac{126}9 = 14\)
Pls help no wrong answers
Answer:
\(x\sqrt{2} = c\)
Step-by-step explanation:
The Pythagorean theorem tells us that \(a^2+b^2=c^2\), where a and b are the legs of a right triangle. If the length of each leg is x, we know by applying the theorem that \(x^2+x^2=c^2\), so \(2x^2=c^2\). Applying the square root on both sides we get \(x\sqrt{2} = c\)
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
The average change in water volume is (answer here)iter(s) per day.
The average change in the volume of water per day is obtained as 0.625 litres.
What is the rate change of volume?The rate change of volume is the change of volume with respect to time.
For instantaneous change the derivative of the expression of volume can be taken.
The average change in the volume of water can be obtained as follows,
Average change = Volume of water ÷ Number of days
= 2.5 ÷ 4 = 0.625
Hence, the average change in water volume is given as 0.625 liters per day.
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please help meeeeeeee <33
Answer:
f(5) = 22; f(9) = 34
Step-by-step explanation:
f(5) = 3(5) +7
f(5) = 22
f(9) = 3(9) +7
f(9) = 34
Simplify the following expression completely using distribution and combining like terms
3m -2(5+3m)+m
Answer:
-2m - 10
Step-by-step explanation:
3m - 2(5 + 3m) + m =
3m - 10 - 6m + m =
-2m - 10
PLZ HELP IM GIVING YOU 100 POINTS
solve for x
2 1/4 = 1 2/7 divided by x
Answer:
x = 4/7 or 0.571428571
Step-by-step explanation:
Really Easy, Help pleaseee
1 minute = 0.25km
Step-by-step explanation:
divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.