On a map in a geography textbook, the scale is 1 inch equals 60 miles.What is the actual distance for a map distance of 4 1/4 inches?
Answer:
255 miles
Step-by-step explanation:
if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.
jessica is bisecting a segment. first, she places the compass on one endpoint and opens it to a width larger than half of the segment. what is her next step?
To bisect a segment, Jessica should place the compass on one endpoint, open it to a width larger than half of the segment, draw two intersecting arcs with the compass, and draw a straight line through the intersection points to bisect the segment.
To bisect a segment, Jessica should first place the compass on one endpoint of the segment and open it to a width larger than half of the segment. She should then draw an arc that intersects the segment at two points. Next, she should place the compass on the other endpoint of the segment and draw a similar arc that intersects the first arc she drew.
Finally, she should draw a straight line through the two points where the arcs intersect to bisect the segment into two equal parts. This method is based on the concept of congruent triangles, as the two arcs create two congruent triangles with the segment as their base.
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P3.168 Multnomah Falls in the Columbia River Gorge has a sheer drop of 543ft. Using the steady flow energy equation, estimate the water temperature change in
∘
F caused by this drop.
Temperature change for water due to sheer drop is approximately 0.7 °C when Multnomah Falls in the Columbia River has a sheer drop of 543 ft.
Given that,
Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 feet.
We have to find estimate the water temperature change in °F caused by this drop using the steady flow energy equation.
We know that,
Sheer drop is z₁ - z₂ = 543 feet
We required to calculate temperature change that is ∆T caused by this drop using steady flow energy equation says SFEE.
Assuming
Adiabatic flow i.e. Q =0
No work done, i.e. W=0
Neglecting kinetic energies.
Steady flow energy equation is a mathematical expression that states that for a steady flow the net energy at the inlet of control volume is equal to the net energy at the exit of of the control volume.
SFEE is given as,
h₁ + \(\frac{(v_1)^2}{2}\) + gz₁ + Q = h₂ + \(\frac{(v_2)^2}{2}\) + gz₂ + Q -------> equation(1)
Where, h₁ and h₂ enthalpies at inlet and exit of control volume,
v₁ and v₂ are velocities at inlet and exit of control volume (kinetic energies),
z₁ and z₂ are elevation at inlet and exit of control volume (potential energies),
Q is energy flow into the control volume and
W is work done by control volume.
Neglecting change in kinetic energies ; Q=0; W=0
Then equation (1) will be,
h₁ - h₂ = g(z₂ - z₁)
Cp(ΔT) = g(z₂ - z₁)
ΔT = \(\frac{g(z_2-z_1)}{Cp}\)
Here,
Value of g is 32.2 feet per second square and value of Cp for water is 25100 feet
Substituting all values we get,
ΔT = \(\frac{32.2(543)}{25000}\)
ΔT = 0.69°C
ΔT = 0.7°C (approximately)
Therefore, Temperature change for water due to sheer drop is approximately 0.7 °C.
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HELP MEEEEEEEEEEEEEEEE ASAP.....NO LINKS & NO TROLLING
which statement about of y=5x^2+17x+6 is true
A. the zeros of y=5x^(2)+17x+6 are 3 and( 2)/(5), because y=(x+3)(5x+2)
B. the zeros of y=5x^2+17x+6 are 3 and 2/5, because y=(x-3)(5x-2)
C. the zeros of y=5x^2+17x+6 are -3 and -2/5, because y=(x+3)(5x+2)
D. the zeros of y=5x^2+17x+6 are -3 and -2/5, because y=(x-3)(5x-2)
C IS THE ANSWER
Answer:
C
\(y=(5x+2)(x+3)\)
\(\implies x=-\dfrac25,\ \ x=-3\)
Step-by-step explanation:
Factor \(y=5x^2+17x+6\)
Multiply the coefficient of \(x^2\) and the constant:
⇒ 5 x 6 = 30
Find factors of 30 that add together to make the coefficient of \(x\):
⇒ 2 and 15
Rewrite 17x as 15x + 2x:
\(\implies y=5x^2+15x+2x+6\)
Group:
\(\implies y=(5x^2+15x)+(2x+6)\)
Factor brackets:
\(\implies y=5x(x+3)+2(x+3)\)
Factor out common term \((x + 3)\):
\(\implies y=(5x+2)(x+3)\)
To find the zeroes, set y to zero and solve for x:
\(\implies (5x+2)(x+3)=0\)
\(\implies 5x+2=0 \ \ \textsf{and} \ \ x+3=0\)
\(\implies x=-\dfrac25,\ \ x=-3\)
ac is 5(6)=30
y=5x²+5x+2x+6y=5x(x+3)+2(x+3)y=(x+3)(5x+2)So the zeros are
-3 and -2/5Option C is correct
Why is a normal distribution "normal"?
Step-by-step explanation:
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Please help me I’ve been struggling.
Answer: the first one
Step-by-step explanation:
No constant rate of change
(Excel Function)What excel function is used when calculating t critical value?
The Excel function used when calculating the t critical value is the T.INV function.
The TINV function returns the inverse of the Student's t-distribution, which is a probability distribution that is commonly used in hypothesis testing when the sample size is small and the population standard deviation is unknown. The TINV function requires two arguments: the probability value (alpha) and the degrees of freedom.
The degrees of freedom depend on the sample size and the number of parameters estimated in the model. The TINV function returns the value of the t statistic that corresponds to a given probability and degrees of freedom. This t critical value is compared to the calculated t statistic to determine if the null hypothesis should be rejected or not.
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Simplify the following algebraic expression:
- 3n(-n+4) - n(3 +7n)
Answer:
The expression simplified
Answer:
-4n^2 + -15n
Step-by-step explanation:
-3n(-n + 4) - n(3 + 7n)
= -3n * -n + -3n * 4 + -n * 3 + -n * 7n
= 3n^2 + -12n + -3n + -7n^2
= -4n^2 + -15n
Cheers.
Which figure will be produced by rotating Figure F 90° counterclockwise about the origin
(0,0)?
Answer:
The 3rd option
Step-by-step explanation:
Can someone please help me I really need help it’s my last question
Answer:
x^2+11x+30
Step-by-step explanation:
This is a parallelogram.
Area of a parallelogram can be found with:
A=bh
Plug our values in.
A=(x+6)(x+5)
FOIL-
First: x*x=x^2
Outside: x*5=5x
Inside: 6*x=6x
Last: 6*5=30
x^2+5x+6x+30
Combine like terms.
x^2+11x+30
Justin is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Justin need to invest, to the nearest ten dollars, for the value of the account to reach $2,100 in 8 years?
Answer: 1420
Step-by-step explanation:
Answer:
1420 .
Step-by-step explanation:
what is - 4x +7 > x -13
Answer:
\(\huge\boxed{\sf x < 4}\)
Step-by-step explanation:
Given inequality:-4x + 7 > x - 13
Subtract x to both sides
-4x - x + 7 > -13
-5x + 7 > -13
Subtract 7 to both sides
-5x > -13 - 7
-5x > -20
Divide -5 to both sides
x < -20/-5
x < 4\(\rule[225]{225}{2}\)
Answer:
\(x < \bf 4\)
Step-by-step explanation:
\(-4x + 7 > x -13\)
We have to make \(x\) the subject of the equation:
• Subtract \(x\) from both sides:
\(-4x - x + 7 > -13\)
⇒ \(-5x + 7 > -13\)
• Now subtract 7 from both sides:
\(-5x > -13 - 7\)
⇒ \(-5x > -20\)
• Next divide both sides by -5, and remember that dividing an inequality by a negative number reverses the inequality symbol:
\(x < \frac{-20}{-5}\)
⇒ \(x < \frac{20}{5}\)
⇒ \(x < \bf 4\)
Factor completely 25x² - 49
Answer:
(5x-7)(5x+7)
Step-by-step explanation:
\(25x^2-49\\=(5x)^2-(7)^2\\=(5x-7)(5x+7)\)
Remember that the difference of squares formula is \(a^2-b^2=(a-b)(a+b)\).
Answer:
(5x-7) x (5x+7)
Step-by-step explanation:
25x^2- 49
5^2 x 2^2 - 49
5^2 x 2^2 -7^2
(5x)^2 -7^2
(5x-7) x (5x+7)
Divide.
−4 1/3÷−2 3/5
123
145
215
235
Answer:
1 2/3
Step-by-step explanation:
Answer:
A. 1 2/3
Step-by-step explanation:
−4 1/3
−2 3/5
1 2/3
Please don't say something random just for the points this is my last question on my test and I would really appreciate it if I could get the right answer not a, I think, or sorry if I'm wrong thank you, Lilly records the age, in years, and the height, in inches, of the starting players on the girls’ middle school basketball team.
She records them as ordered pairs (age, height): (11, 62), (12, 64), (13, 65), (13, 67), and (14, 68).
Is this relation a function? Explain.
Answer: C because there are two ages with 13 as an x value, making it a relation not a function.
answer please and thank you
Answer:
b
a=1
Step-by-step explanation:
Which system of equations has exactly one solution?
O 2x - 4y = 8
X+ y = 7
o 3x+y=-1
6x+2y = -2
3x+3y = 3
-6x-6y=3
3x-2y = 4
-3x + 2y = 4
Answer: Most of them cross each other once so I am not sure which one is the answer (sorry)
Step-by-step explanation:
x+y=7 is parallel to 3x+3y=3 and -6x-6y=3
3x+y=-1 and 6x+2y=-2 have infinite solutions togther (both are on top of each other)
The rest of the ways cross each other once
The decimal 0.4444 is an example of what kind of number
A irrational number
B rational number
C decimal number
D whole number
(multiple choice answers)
Derrick crawls 4 meters south and then turns east and caralws 6 meters
Using the Pythagorean theorem, we can calculate the distance Derrick covered as the hypotenuse of a right triangle formed by his movements:
Distance = √((4 ft)² + (6 ft)²) = √(16 + 36) =√(52) ≈ 7.21 ft
Therefore distance covered by Derrick is 7.21 ft.
To find Derrick's displacement, we need to calculate the straight-line distance from his starting point to his ending point. We can use the fact that his southward movement and his eastward movement form the adjacent and opposite sides of a right triangle, respectively. Thus, his displacement is the hypotenuse of this right triangle:
Displacement = √((4 ft)² + (6 ft)²) = √(16 + 36) = √(52) ≈ 7.21 ft
Note that the distance and displacement are the same in this case because Derrick ended up at the same distance from his starting point, but in a different direction. If he had crawled more to the east or west, his distance traveled would have increased, but his displacement would still be the same as it only depends on the straight-line distance between his starting and ending points.
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Linda got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 14 cents per yard. If after that purchase there was $17. 06 left on the card, how many yards of ribbon did Linda buy?
Therefore, Linda bought 21 yards of ribbon. Hence, Linda bought 94 yards of ribbon.
The number of yards of ribbon Linda bought, we need to calculate the difference between the initial balance on the card and the remaining balance after the purchase.
The initial balance on the card was $20. To find the amount spent on ribbon, we subtract the remaining balance ($17.06) from the initial balance. $20 - $17.06 = $2.94
Now, we need to determine how many yards of ribbon Linda could purchase with $2.94, given that the price of the ribbon is 14 cents per yard.
To find the number of yards, we divide the total amount spent ($2.94) by the price per yard (14 cents): $2.94 ÷ $0.14 = 21
Therefore, Linda bought 21 yards of ribbon.
Hence, Linda bought 94 yards of ribbon.
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Find the area. Simplify your answer.
Which expression is equivalent to rm ÷ rn? (4 points)
rm − n
rm + n
rm ⋅ n
rm ÷ n
By applying the exponent rule of division, the equivalent expression to \(r^m \div r^n\) is: A. \(r^{m - n}\).
How to Determine Equivalent Expressions?Given the expression, \(r^m \div r^n\), we can find the expression that is equivalent to it by rewriting the expression as shown below:
r^m ÷ r^n
According to the exponent rule of division, if we are to divide two bases together that have the same same base but different exponents, what we only need to do is to subtract their powers.
We would apply this same rule in this given problem.
Applying the exponents rule of division, we would subtract the powers:
r^m ÷ r^n = r^(m - n)
Therefore, by applying the exponent rule of division, the equivalent expression to \(r^m \div r^n\) is: A. \(r^{m - n}\).
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GEOMWTRY PLS HELP THA M U
Answer:
48
Step-by-step explanation:
please help thank you
Answer:
i think 3.33
Step-by-step explanation:
r = y/x
x=3, y=30
r= 3/10
r=3.33
pleas please help me !!
“A relation contains to points (-5,-10) (-2,-4) (-1,-2) (4,8) and (5,10) is this a function?
please explain how you did the work step by step pls!!!
Answer:
This is a function and there is no value of x for which we will get two or more different values of y.
Step-by-step explanation:
Now, this is a function and there is no value of x for which we will get two or more different values of y
The equation is y = 2x
bye
On 1 October 2015 Karen purchased freehold land and buildings for £480,000, of which the land element was £80,000. The buildings had a useful life of 25 years at the date of purchase. The residual value was nil.
On 1 October 2020 the land and buildings were revalued to £500,000, of which the land element was £100,000. There was no change in the useful life of the property.
According to IAS 16 Property, Plant and Equipment, what should be the depreciation charge for the year ended 30 September 2021 and the balance on the revaluation surplus as at that date?
A Depreciation charge £16,000; revaluation surplus £100,000
B Depreciation charge £20,000; revaluation surplus £100,000
C Depreciation charge £25,000; revaluation surplus £116,000
D Depreciation charge £20,000; revaluation surplus £116,000
Accoding to the calculations , the correct answer is:
A) Depreciation charge 16,000; revaluation surplus £20,000
According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.
In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).
To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:
£400,000 / 25 = £16,000
Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.
Now, let's calculate the balance on the revaluation surplus as at that date.
The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).
Revaluation surplus = Fair value - Carrying amount
Revaluation surplus = £500,000 - £480,000
Revaluation surplus = £20,000
Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.
Based on the calculations above, the correct answer is:
A) Depreciation charge £16,000; revaluation surplus £20,000
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I need helpppp right awayyy please
Nikos finds a toy train set on sale for 20% off at a toy store. The original
price was $35. What is the sale price Nikos must pay for the train set?
Answer:
The price is now $28.
Step-by-step explanation:
5,032 divided by 52
Pls show your work so i know how you did it tnx ❤️
Answer:
96.76
Step-by-step explanation:
Which of the following numbers are rational, but NOT integers?
Select one or more:
a.√33
b.8.4
c.3/4
d.0
Answer:
0
Step-by-step explanation:
Zero is a rational number, and we know that the integer 0 can be written in any one of the following forms. ... Thus, 0 can be written as, where a/b = 0, where a = 0 and b is any non-zero integer. Hence, 0 is a rational number and not an integer.
Eight friends purchase various supplies for a camping trip and agree to share the total cost equally. They
spend $85.43 on food, $32.75 on water, and $193.26 on other items. How much does each person owe?
Each person owes $
Answer:
Per person $38.93
Step-by-step explanation:
193.26+85.43+32.75=$311.44
$311.44 divided by 8=$38.93 per person
Best,
SunflowerJada