Ryan will use the multiplication with 0.621 to find the speed in mile per hour.
To find the speed in mile per hour we will convert the unit from mentioned unit to desired unit. As per the known fact, 1 kilometre is 0.621 mile.
Keeping the value of mile in the place of kilometres, we will calculate the speed in miles per hour.
Speed = (100 × 0.621)/1
Performing multiplication in numerator on Right Hand Side of the equation to find the value of speed in miles per hour
Speed = 62.1 miles per hour
Thus, Ryan should multiply the value with 0.621 miles per hour and hence, the value of speed in miles per hour is 62.1.
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LIBERTY
$1
10
FEDERAL RESERVE NOTE
THE UNITED STATES OF AMERICA
K
H88750416A
10 Catika kund
H88750416A
ONE
Zachen 7. Buy 10
10
2
Answer:
Step-by-step explanation:
$1.65
A man whose height is 1. 8 m casts a shadow that is 2. 9 m in length. What is the height of a building that casts a shadow of 11. 3 m?.
The height of a building is 7 m that casts a shadow of 11.3 m
The ratio between height to shadow length of man will be equal to the ratio of building. So, equating these two to find the height of building.
Height : Shadow length (man) = Height : shadow length (Building)
Keep the values as fraction
1.8/2.9 = Height/11.3
Height of building = (1.8 × 11.3) ÷ 2.9
Performing multiplication in numerator on Right Hand Side of the equation
Height of building = 20.34 ÷ 2.9
Performing division on Right Hand Side of the equation
Height of building = 7 m
Thus, the height of building is 7 m.
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Which functions have a horizontal asymptote? check all that apply.
Answer:
This is a incomplete questions.
Step-by-step explanation:
So, is there options or do you do a graph.
Feel free to ask
Answer:
B, C, and E for Edge
Step-by-step explanation:
did it and got it right lol :)
How could I simplify it, could someone show me step by step?
By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.
Given that,
The expression is (-4-√7)²
We need to find the value and simplify the expression.
Take the expression.
(-4-√7)²
We know that (a+b)²=a²+2ab+b²
The expression is in the form of (a+b)² substitute the formula.
(-4)²+2(-4)(-√7)+(-√7)²
Now do the square
16+2(-4)(-√7)+7
Now do the multiplication.
16+8√7+7
Now do the addition.
23+8√7
We can write the √7 value
23+8(2.64)
Multiply 8 and 2.64
23+ 21.12
Now adding
44.12
Therefore, By simplifying the expression (-4-√7)² we get the value as 23+8√7 in decimals we get 44.12.
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211 children went on a picnic. Each child drank 400 milliliters of pineapple juice. How many liters were consumed altogether?
84.4 liters were consumed.
Step-by-step explanation:211 x 400 = 84400
In total 84400 milliliters were consumed
1000 milliliters are in one liter
So that means 84.4 liters were consumed.
A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades. Can one conclude that this positive correlation shows a casual relationship?
A. Yes, because it is well known that less sleep lowers test scores.
B. Yes, because it is not a negative correlation.
C. No, because all students get less than 8 hours of sleep at night.
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.
What are positive and negative co-relations?When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.
When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.
Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.
No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.
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What is the range of this relation?
Answer:
{-4,-2,4}
Step-by-step explanation:
range are y values so we just look at the y values of the coordinates plotted on the graph
Hopes this helps
The range of the relation that is graphed above is: {-4, -2, 4}.
What is Range of a Relation?All values of x that are plotted on a graph of a relation is the domain, while the corresponding y-values on the graph is the range of the relation.
Given the graph of the relation above, the x-values of each of the points make up the domain of the relation, while the corresponding y-values of each point make up the range of the relation.
The y-values of each of the points are: -4, -2, and 4
Therefore, the range is: {-4, -2, 4}.
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Write an equation of a line that is
parallel to y = 1/3x + 5 and goes
through (3,5)
A) y = -3x + 14
B) y = 1/3x + 4
C) y = 1/3x + 4/3
D) y = 3x + 1
E) y = 1/2x + 7/2
Answer:
Step-by-step explanation:
We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept. A characteristic of parallel lines is that they have the same slope. That means the same value of m for both equations.
The reference equation is y = 1/3x + 5, It has a slope of (1/3). This means the new line will also have a slope of (1/3), and so we can write:
y = (1/3)x + b
Any value of b will result in a parallel line to y = 1/3x + 5. But the new line comes with the requirement that it go through point (3,5). That's easily done if we choose the correct value for b, the y-intercept. We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:
y = (1/3)x + b (for point (3,5)
5 = (1/3)(3) + b
5 = 1 + b
b = 4
A b value of four will shift the line so that it intersects (3,5). See the attached graph.
What is the image point of (0, -4) after the transformation T3,3 R270 ?
The image of the point (0, -4) after the transformation T3,3 R270 is (3, 1).
The image of the given point after transformation considers the given point is P(0, -4)
Rules of transformation R(27°,0)° T<3, 3> representing translation T<3, 3> after that rotate 270 degrees counter-clockwise If a figure translated by T<3, 3>
( x,y)= (( x + 3), ( y + 3))
p (0, -4) = p' (( 0 + 3), ( -4 + 3))
p (0, -4) = p'(3, -1)
When rotating a point 270 degrees counter-clockwise about the origin our point
p'(x,y) becomes p''(y,-x)
p'(3, -1) = p''(3, -(-1))
p'(-10,2) =p"(3, 1)
Therefore, the image of the point (0, -4) after the transformation T3,3 R270 is (3, 1).
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(2.979 x 10^3) - (9.9 x 10^2)
Answer: -39.57
Step-by-step explanation:
722 divided by 68 =?
Answer:
Step-by-step explanation:
Find the equation of the line passing through the given point and parallel to the given line.
( 1 , 9), y = 4
(-1 ,-3), y= 2
(4, -6), y = -5
Answer:
y = 9, y = - 3 and y = - 6
Step-by-step explanation:
a line with equation y = c is a horizontal line parallel to the x- axis.
c is the value of the y- coordinates the line passes through.
Thus parallel lines must also be horizontal with equation y = c
a line parallel to y = 4 passing through (1, 9 ) with y- coordinate 9 is
y = 9
a line parallel to y = 2 passing through (- 1, - 3 ) with y- coordinate - 3 is
y = - 3
a line parallel to y = - 5 passing through (4, - 6 ) with y- coordinate - 6 is
y = - 6
a piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. how large are each of the pieces of lumber?
x=14 in is the smaller part of lumber
55-x=55-14=41 in is the larger part of lumber
What is linear equation ?Linear equations are described for strains withinside the coordinate system. If an equation has homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have variables, they may be known as bivariate linear equations.
Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables, and examples of them with complete explanations.
CalculationLet x=the smaller part
Then 55-x=the larger part
Now we are told the following:
2(55-x)=5x+12 simplify
110-2x=5x+12 add 2x to and subtract 12 from each side
110-2x+2x-12=5x+2x+12-12 collect like terms
98=7x
x=14 in--------------------smaller part
55-x=55-14=41 in-----------larger part
CK
2 times larger part=2*41=82 in
5 times smaller part=5*14=70 in
70+12=82
82=82
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Tommy was going to sell all of his Pokemon
cards to buy NBA 2K21. After selling half of
them he changed his mind and bought 17
more Pokemon cards. How many did he start
with if he now has 34?
Answer: [tex]x = 34[/tex]
Step-by-step explanation:
Let x be the original amount of Pokémon cards Tommy had, we know that he sold half of them; this can be express as:
[tex]\frac{x}{2}[/tex]
After this he changed his mind and bought 17 cards, then he has:
[tex]\frac{x}{2} + 17\\[/tex]
We know that he has 34, then we have the equation:
[tex]\frac{x}{2} + 17 = 34[/tex]
Solving for x we have:
[tex]\frac{x}{2} + 17 = 34[/tex]
[tex]\frac{x}{2} = 34 - 17[/tex]
[tex]\frac{x}{2} = 17[/tex]
[tex]x = (2)(17)[/tex]
[tex]x = 34[/tex]
(-6,4)
(-4,0)
(4,4)
(2,8)
what’s the perimeter
Answer:
Step-by-step explanation:
enter two pairs of values for x and y that make the equation x + 2y = 10
Answer:
x=1 y=4.5, x=2 y=4
Step-by-step explanation:
plug in random values of x and solve for y then you get your answer.
Meredith's new scale measures in both pounds
and kilograms. The information on the box says the
scale has a weight limit of 200 kilograms or 440
pounds.
What is the approximate unit rate of kilo per pound and pound per kilo
The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
Meredith's new scale measures in both pounds and kilograms.
The information on the box says the scale has a weight limit of 200 kilograms or 440 pounds.
We have a weight limit of 200 kilograms or 440 pounds.
We need to find the unit rate of kilo per pound and pound per kilo
The unit rate of kilo per pound would be,
r1 = 200/440
r1 = 0.4545
and a unit rate of pound per kilo would be,
r2 = 440/200
r2 = 2.2
Therefore, The unit rate of kilo per pound = 0.4545
And the unit rate of pound per kilo = 2.2
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a(1)=-11
a(n)=a(n-1)x10
what is the 4th term?
The fourth term a₄ of the sequence aₙ is 15
How to determine the value of a₄?The definition of the function is given as
a(1)=-11
a(n)=a(n-1)x10
When this definition is rewritten properly, we have the following representation
a₁= 11
aₙ = aₙ₋₁ * 10
The above definitions imply that we simply multiply 10 and the previous term to get the current term
Using the above as a guide,
So, we have the following representation
a₂ = 11 * 10
Evaluate the products
So, we have
a₂ = 110
Also, we have
a₃ = 110 * 10
Evaluate the products
So, we have
a₃ = 1100
Lastly, we have
a₄ = 1100 * 10
Evaluate the products
So, we have
a₄ = 11000
This represents the 4th term of the sequence
Hence, the value of a₄ is 11000
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Tonya deposited one check for $56.93, a second check for
$761.29, and a third check into a savings account for her daughter. She also
deposited $75.00 in currency and $25.00 in coin. If she withdrew $150.00 in
cash and their total deposit was $1,785.23, what was the amount of her
third check?
Calculate this equation,3×y+(5/8)×y
find the critical value za/2 needed to construct a confidence interval with level 82%. round the answer to two decimal places.
Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
[tex]\alpha[/tex]=1−0.82
[tex]\alpha[/tex]=0.18
Now finding the value of [tex]\alpha[/tex]/2
[tex]\alpha[/tex]/2=0.18/2
[tex]\alpha[/tex]/2=0.09
Now finding the value of [tex]z_{a/2}[/tex].
[tex]z_{0.82}[/tex] = 1.34
Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
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It costs $6.25 to purchase 7/8 Ib. of ham. how much does it cost to purchase 2.5 Ibs of ham?
Answer:
Step-by-step explanation:
0.875/2.5 = 6.25/x
0.875x=15.625
x=$17.85
What is the solution to the system of equations y 1 3x 10 2x y 4?.
The solution to the system of equations y = 1/3x - 10 and 2x + y = 4 is (6, -8).
What is the system of equations ?A system of equations is a collection of two or more equations with a same set of unknowns.
What is a Subsitution method ?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given system of linear equations are :
y = 1/3x - 10 and 2x + y = 4
On solving two equations by using substitution method, It is given that
[tex]y = \frac{1}{3}x-10[/tex] … (1)
2x + y = 4 … (2)
Substituting (1) in (2)
⇒ [tex]2x + (\frac{1}{3}x-10) = 4[/tex]
By further calculation
⇒ [tex]2x + \frac{1}{3}x - 10 = 4[/tex]
⇒ [tex]2x + \frac{1}{3} x = 4 + 10[/tex]
⇒ [tex]2x + \frac{1}{3} x = 14[/tex]
Taking LCM
⇒ [tex]\frac{(6+1)}{3}x = 14[/tex]
⇒ [tex]\frac{7}{3}x = 14[/tex]
By cross multiplication
⇒ 7x = 14 × 3
⇒ 7x = 42
Divide both sides by 7
⇒ x = 6
Substitute the value of x in equation (1)
[tex]\Rightarrow\ y = (\frac{1}{3} \times (6) - 10)[/tex]
So we get
⇒ y = (2-10)
⇒ y = -8
Therefore, the solution to the system of equations is (6, -8).
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What is the difference of the polynomials?
(855³-9554 + 3^¹55)-(2^s5 - 5r³s^6-4r^5s^4
Answer: 5x^3 + 4x^2 – (6x^2 – 2x – 9) =
5x^3 + 4x^2 – 6x^2 + 2x + 9 =
5x^3 – 2x^2 + 2x + 9
Step-by-step explanation: We have to find the difference (5x^3 + 4x^2) - (6x^2 - 2x - 9)
On distributing the minus over the parenthesis, we get
5x^3 + 4x^2 - 6x^2 + 2x + 9
Now, we group the like terms and combine them
5x^3 + (4x^2 - 6x^2) + 2x + 9
=5x^3-2x^2 + 2x +9
Therefore, the last expression is the correct option.
The difference of the polynomial is 5x^3-2x^2 + 2x +9
please help me with this math problem
[tex]\frac{1}{2} -\frac{3}{7} =\frac{7}{14} -\frac{6}{14} =\frac{1}{14}[/tex]
Answer:
[tex] \frac{1}{14} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2} - \frac{3}{7} = \frac{7}{14} - \frac{6}{14} [/tex]
[tex] = \frac{1}{14} [/tex]
In a drawer, there are 10 pairs of socks, 6 of which are white. If you randomly select two pairs of socks,
what is the probability that both are white? Express your answer as a reduced fraction.
The probability that both selected pairs of socks are white is 1/3.
We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.
P = (6/10)*(5/9) = 1/3
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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books. There were twice as many small boxes sent as large boxes, which altogether can hold 225 books. Determine the number of small boxes sent and the number of large boxes sent.
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.
The system of equation will be x+y = 7 and 20x+35y = 225.
Let x be the no of small boxes and y be the no. of large boxes.
Given here each small box can hold 20 books and each large box can hold 35 books.
A total of 7 boxes were sent.
So, x+y = 7.......equation 1
Also given that 7 boxes can hold 225 books altogether.
So, 20x+35y = 225.....equation 2
Hence the system of equation will be x+y = 7 and 20x+35y = 225.
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Chooe ALL anwer that decribe the quadrilateral VWXYVWXY if VW = 15VW=15, WX = 15WX=15, XY = 15XY=15, YV = 15YV=15, and diagonal have equal length: VX = WYVX=WY
The quadrilateral VWXY that has an equal length of diagonals and equal length of sides is the quadrilateral is a square
Since the information given to us about the quadrilateral VWXY is :
VW = 15, WX = 15, XY = 15, YV = 15
Since the side lengths of the quadrilateral VWXY and the diagonal lengths are equal. So, VX = WY = VX = WY. As we know The properties of a square are that their interior angles are congruent and are 90°, plus The four sides are of equal length, the Opposite sides are congruent and The length of the diagonals is equal.So it can be concluded that the equal length of the diagonals of a quadrilateral indicates that it can be a square
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Krystal was able to drive her car 300 miles on 12 gallons of gasoline. At this rate, how many miles did she drive using 8 gallons of gasoline?
Answer:
523
Step-by-step explanation:
the game
simplify the following expression 9^-53·9^37
The simplification of the given expression would be = 9^-¹⁶
What is simplification?Simplification is defined as editing of a given mathematical expression in a more easy to under form or less complex form.
To simplify the given expression such as 9^-53·9^37 the law of exponents should be observed.
According to the law of exponents, a^m * a^n = a^m + n
9^-53·9^37
= 9^ -53+37
= 9^-16
Therefore, the simplification of the expression above would be = 9^-¹⁶.
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