The approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.
To solve for the average depth of water, when the water is traveling at 200 kilometers per hour, we substitute speed S = 200, in the relation S = 356√d.
This will be solved in the following way:
S = 356√d,
or, 200 = 356√d {Substituting S = 200},
or, 200/356 = (356√d)/356 {Dividing both sides by 356},
or, √d = 0.5618 {Simplifying},
or, d = 0.32 kilometers.
Therefore, the approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.
The provided question is incomplete.
The complete question is:
"The speed that a tsunami can travel is modeled by the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
A. 0.32 km
B. 0.75 km
C. 1.12 km
D. 3.17 km"
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Reina walked 1/2 of a mile in 1/4 of an hour. What was Reina's rate of speed in miles per hour?
Jen has collected information about the students in her class and the month they were born.
Which of the following statements would be true about this information?
It is both a relation and a function.
It is not a relation, but it is a function.
It is a relation but not a function.
It is neither a relation nor a function.
The true statement about this information is that: A. It is both a relation and a function.
What is a function?A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population.
In this context, we can infer and logically deduce that the true statement about this information collected by Jen is that it's both a relation and a function because it indicates a relationship between two variables.
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Answer:
It is both a relation and a function.
Step-by-step explanation:
Discount Comics is running a special: 20 comics for $5.00. Seth purchases 30 comics for $7.50. What is the sale price per comic?
$
per comic?
What is the constant of proportionality?
Answer: Its A and A
Step-by-step explanation: I did the question
tengo 2/3 de lo que cuesta una computadora ¿Cuanto vale la computadora si me faltan solo 318 dolares para comprarla?
Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly?
The value of the w is 130.95
We have given that,
[tex]\frac{w}{13.5}=9.7[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}13.5[/tex]
What is the expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
[tex]\frac{13.5w}{13.5}=9.7\cdot \:13.5[/tex]
[tex]w=130.95[/tex]
Therefore the value of the w is 130.95.
The questions seem incomplete the complete question is
Which student solved the equation StartFraction w Over 13.5 EndFraction = 9.7 correctly? Kwan's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 times 13.5 = 130.95. Amala's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 minus 9.7 = 3.8. Sid's work. StartFraction w Over 13.5 EndFraction = 9.7. 13.5 + 9.7 = 23.2. Joaquin's work. StartFraction w Over 13.5 EndFraction = 9.7. 9.7 divided by 13.5 = 0.72. Mark this and return.
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Answer:A
Step-by-step explanation: i dont kno you tell me
Which equations are true for x = –2 and x = 2? Select two options
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
The equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
How to determine the true equations?We have:
x = -2 and x = 2
Rewrite as:
x + 2 = 0 and x - 2 = 0
Multiply both equations
(x + 2)(x - 2) = 0
This gives
x^2 - 4 = 0 --- option (a)
Add 4 to both sides
x^2 = 4
Multiply by 4
4x^2 = 16 --- option (d)
Hence, the equations that are true for x = -2 and x = 2 are (a) x^2 - 4 = 0 and (d) 4x^2 = 16
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Drag a statement or reason to each box to complete this proof.
If −3(x+8)=−21, then x=−1.
Drag a statement or reason to each box to complete this proof.
If 3x−4=14, then x=6.
Drag a statement or reason to each box to complete the proof.
If 3(x−4)=x+4, then x=8.
The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
How to utilize properties of Algebra?Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
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You have a machine that can add exactly 46,899 pieces of candy per scoop to a giant vat and another machine that can remove exactly 13,576 pieces of candy with a different scoop from the giant vat. You have a total supply of 600,000 pieces of candy. Your giant vat starts out empty. The first machine adds scoops of candy, and then the second machine removes scoops of candy. When these two machines are done, there is only one piece of candy left in the vat. How many scoops of candy did the first machine add to the vat?
The first machine has added maximum 25 scoops of candies.
Given Machine 1 can add 46899 pieces of candies in the giant vat and machine 2 can add 13576 pieces of candies in the giant vat to form total supply of 600000.
let the number of scoops added by first machine be x and number of scoops added by second machine is y.
The equation will be as under:
46899x-13576y=600000
It can be solved logically. Because other machine is removing the candies from the giant vat so the value of 13576y is minimum 600000-13576=586424. Because it atleast withdrawn 1 scoop.
So the value of 46899x is maximum 1186424 which can bewhen the number of scoops is =1186424/46899=25 approximately.
Hence the number of scoops added by first machine is maximum 25.
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Question contains an error as the line related to left over 1 candy should be deleted.
If T -1 (x, y) (½x, y - 5), then T(x, y) ( x, y + 5) (2 x, y + 5) ( x - ½, y + 5)
The coordinates of the function will be T (x , y ) = (2 x, y + 5) ; Option B is the answer.
What is a Function ?A function is a mathematical statement that relates an independent and a dependent variable .
An inverse of a function is given
T⁻¹ (x, y) : (½x, y - 5)
T(x, y) : ?
As the inverse in given , to find the function , the reverse of all the transformation has to be done .
The x coordinate has been halved , so the original function will be double.
The y coordinate has 5 subtracted to it , so it will be added to the coordinate.
So the coordinates of the function will be
T (x , y ) = (2 x, y + 5)
Therefore Option B is the answer.
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Answer:
B. y = x + 2; y = 5
Step-by-step explanation:
100% on edge 2022!
Which property best describes the conditional statement
below?
If AABC = ADEF, then ADEF= AABC
OA. Reflexive property
B. Transitive property
C. Symmetric property
D. Associative property
The congruence property that shows that if ΔABC ≅ ΔDEF, then ΔDEF ≅ ΔABC is; A: Reflexive Property
How to Identify properties of Congruent Segments?In geometry, the reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself.
Now, since we are told that ΔABC is congruent to ΔDEF, then it means that by the reflexive property of congruence we can equally say that ΔDEF are congruent to angles of ΔABC
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Is this a function or not because there’s a vertical line but the plots also go above each other .
Answer:
not a function because it doesn't pass the vertical line test
Step-by-step explanation:
even though they have different y coordinates they still don't pass the test
What is the product?
6(x^2-1) 6x-1/6(x+1)
Q6: A, Árbol
Q7: D, nube
Q8: C, Viento
Q9: B,
Q10: D, Cielo
Q11: D, Hablarian
can someone please help me
Answer:
The answer is C. U=3x and V=2y^3
Step-by-step explanation:
3x*3x=9x^2
2y^3*-2y^3=-4y^6
Other variables cancel each other out
Pls help I don’t get it
Answer:
x=-5, y=-2
Step-by-step explanation:
10x-9y=-32
2x-10y=10
(2x-10y)*5=10*5
10x-50y=50
(10x-9y)-(10x-50y)=-32-50
41y=-82
y=-82/2
y=-2
10x-9(-2)=-32
10x+18=-32
10x=-50
x=-5
Line l contains points (2,4) and (5,1). Point P has coordinates (1,1). Find the distance from P to l.
The least distance from point P to line l is approximately equal to 3.536 units.
How to find the least distance between a line and a point outside the line
There are several ways to calculate the least distance, in this case we decided to use the approach based on vectors and projections. First, we generate two auxiliary vectors:
Vector parallel to the line l
[tex]\overrightarrow {AB} = (5, 1) - (2, 4)[/tex]
[tex]\overrightarrow{AB} = (3, - 3)[/tex]
A vector from one point on the line l to the point P
[tex]\overrightarrow{AP} = (1, 1) - (2, 4)[/tex]
[tex]\overrightarrow {AP} = (- 1, - 3)[/tex]
Now we proceed to find the vector distance by using the following vectorial formula:
[tex]\vec d = \frac{\overrightarrow{AP} \,\bullet\, \overrightarrow {AB}}{\overrightarrow {AB} \,\bullet \,\overrightarrow {AB}} \cdot \overrightarrow{AB} - \overrightarrow {AP}[/tex]
[tex]\vec d = \frac{(-1)\cdot (3) + (- 3) \cdot (- 3)}{3^{2}+ (-3)^{2}} \cdot (3, - 3) - (-1, - 3)[/tex]
[tex]\vec d = - \frac{1}{6}\cdot (3, - 3) - (- 1, - 3)[/tex]
[tex]\vec d = \left(-\frac{1}{2}, \frac{1}{2} \right) + (1, 3)[/tex]
[tex]\vec d = \left(\frac{1}{2}, \frac{7}{2} \right)[/tex]
The magnitude of the vector distance is determined by Pythagorean theorem:
[tex]d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{7}{2} \right)^{2}}[/tex]
d ≈ 3.536
The least distance from point P to line l is approximately equal to 3.536 units.
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Convert from Decimal Notation to Scientific Notation
In the following exercises, write each number in scientific notation.
551. 340,000
Answer:
Hence, 3,40,000 can be expressed as [tex]$$3.4\times10^5$$[/tex]
Step-by-step explanation:
Step 1 of 1
Consider 3,40,000
3.4
So, 3.4 lies between 1 & 10
Now, Decimal has moved 5 places to left.
[tex]$3.4=10^{5}$[/tex]
So, 3,40,000=[tex]3.4 \times 10^{5}$[/tex]
how can i do scientific notifacation please
find the area of the following shape
Answer:
74.8 cm^2
Step-by-step explanation:
The figure is a parallelogram with base of 11cm and height of 6.8cm . To find the area, we multiply the base by the height to get 11 × 6.8 = 74.8 cm^2
A toilet is leaking at the rate of 1 fluid ounces per minute. How many gallons is
the toilet leaking per hour?
O 0.47 gal/hr
O 0.94 gal/hr
O 28.13 gal/hr
O 2.13 gal/hr
1 gallon (gal) = 128 fluid ounce (fl oz)
1 hour (hr) = 60 minutes (min)
Convert 1 fl oz/min to gal/hr.
[tex]\dfrac{1\,\rm fl.oz}{1\,\rm min} \times \dfrac{1\,\rm gal}{128\,\rm fl.oz} \times \dfrac{60\,\rm min}{1\,\rm hr} = \dfrac{60}{128} \dfrac{\rm gal}{\rm hr} \approx \boxed{0.47 \dfrac{\rm gal}{\rm hr}}[/tex]
THAT IS THE QUATION OF Y=7X+300
Answer:
Slope=14.000/2.000=7.000
x-intercept = 300/-7 = -42.85714
y-intercept = 300/1 = 300.00000
Step-by-step explanation:
Help please! I already tried doing this but I didn't get the answer right, and I don't know where I went wrong
I think factorizing everything you can first will make the simplification ... well, simpler.
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x(x+7)}{(x+7)(x+9)}[/tex]
The factors of [tex]x+7[/tex] in the second rational expression cancel:
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \div \dfrac{x}{x+9}[/tex]
Now, use the property
[tex]\dfrac ab \div \dfrac cd = \dfrac ab \times \dfrac dc[/tex]
(this is the property of multiplication having to do with multiplicative inverse, or "inverting the divisor" as the question calls it) to write
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \dfrac{x(x-3)}{(x+4)(x+9)} \times \dfrac{x+9}x[/tex]
and we see some more cancellation, namely of the factors of [tex]x[/tex] and [tex]x+9[/tex].
[tex]\dfrac{x^2 - 3x}{x^2 + 13x + 36} \div \dfrac{x^2+7x}{x^2+16x+63} = \boxed{\dfrac{x-3}{x+4}}[/tex]
Multiply Conjugates Using the Product of Conjugates Pattern
In the following exercises, multiply each pair of conjugates using the Product of Conjugates Pattern
330. (11 − b)(11 + b)
Answer:
The product is the difference of squares is [tex]$$\left(11-b\right)\left(11+b\right)=121-{{b}^2}$$[/tex]
Step-by-step explanation:
Explanation
The given expression is (11-b)(11+b).We have to multiply the given expression.Square the first term 11. Square the last term b.[tex]$$\begin{aligned}&(11-b)(11+b)=(11)^{2}-(b)^{2} \\&(11-b)(11+b)=121-b^{2}\end{aligned}$$[/tex]
A pencil cost $1.20 and a pen cost $2.90. Jasmiah bought an equal number of such pencils and pens. She spent $32.30 more on the pens than on the pencils. How many pencils and pens did she buy altogether?
Answer:
38
Step-by-step explanation:
hope it helps good day.
Answer:
38 pencils and pens
Step-by-step explanation:
Given
Cost of pencil= $1.20
Cost of pen= $2.90
Difference in cost
= $2.90 -$1.20
= $1.70
Since she bought an equal number of pens and pencils, the additional amount of money spent on pens is due to the difference in price of a pen as compared to a pencil. Let one pen and one pencil be a set.
Number of sets
= $32.30 ÷$1.70
= 19
Since there are 19 sets,
total number of pencils and pen
= 19(2)
= 38
Please answer with everything needed i appreciate everyones help:0
A scenario that would best model the graph on Holly, her home, and school is:
Holly was trying to get to school from home but fell ill when 4 miles from home. Holly waited to catch her breath and gain some strength. Holly reached school and reported her condition. The school allowed her to go home.What happened Holly's journey to school?As Holly was heading to school, she felt uneasy and had to wait for 10 mins to catch her breath.
After doing so, she then continued to school which was 6 miles from her home. When she got there, she went to the nurse's office.
She waited in school for 15 minutes and was then told to go home to rest and recuperate. She then made the journey back home in a car and arrived in 10 minutes.
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Find the radius of a sphere having a volume of 1000000 cm³
Answer:
radius is 62.04
Step-by-step explanation:
use the formula V=
[tex] v= \frac{4}{3} \pi {r}^{3} [/tex]
3)If the interior angle of a regular polygon is 35" how many sida does it have?A)5. B) 8 C)6 D) 7
The number of sides the regular polygon has is: B. 8.
How to Find the Interior Angle of a Regular Polygon?A polygon with an n-side have a sum of interior angles which can be determined using the formula: (n - 2)180, where n is the number of sides of the regular polygon.
Thus, to find the measure of each interior angle of the polygon, we have: interior angle of a polygon = sum of interior angles ÷ number of sides.
Given the following information about the regular polygon:
Interior angle of the regular polygon = 135 degrees.
Plug this into the given formula for finding the interior angle of a polygon:
135 = (n - 2)180/n
Multiply n by both sides of the equation
135 × n = (n - 2)180/n × n
135n = (n - 2)180
Open the bracket
135n = 180n - 360
Subtract both sides by 180n
135n - 180n = 180n - 360 - 180n
-45n = -360
Divide both sides by -45
-45n/-45 = -360/-45
n = 8
Thus, the number of sides that the regular polygon has is: B. 8 sides.
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How to create a linear regression equation
Answer:
The equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y axis), X is the independent variable (i.e. it is plotted on the X axis), b is the slope of the line and a is the y-intercept.
Step-by-step explanation:
for more information check the above attachment
How many solutions does this system of equations have? x² + y² = 25
x² - 6=0
The system of equation have one solution.
How to solve system of equation?x² + y² = 25
x² - 6 = 0
x² = 6
x = √6
Therefore, let's substitute the value of x in equation (i)
x² + y² = 25
(√6)² + y² = 25
y² = 25 - 6
y² = 19
hence,
y = √19
Therefore, the system of equation have one solution.
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Robin was just hired at Groceries & More as a cashler. They pay her $12 an hour. She works 20 hours a week and is going to save all her money to buy a new cell phone that costs $950 The amount of deductions from her weekly paycheck is $34. How many weeks will Robin have to save for in order to buy the new computer? Enter your answer rounded to the nearest whole number.
Answer:
5 weeks
Step-by-step explanation:
We know that she works at a rate of $12 an hour, she also works 20 hours a week.
The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.
$240 - $34 = $206.
$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.
$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.
(3.5x0.71) ÷ √8.2-7.5
24.85
Step-by-step explanation:
First find the square root of 8.2 and subtract from the square root of 7.5. Multiply 3.5 by 0.71, the answer you get divide it by the answer you get after finding the square root.