Answer:
Step-by-step explanation:
Lacie is filling a bucket with water. Which is the best unit for Lacie to use to describe the amount of water in a full bucket? A. millimeters B. milliliters C. liters D. meters
What does the graph of f(x)=-(x-3)^2+11 look like
Answer:
opens downward with a vertex of (3,11)
Step-by-step explanation:
just took the test
Explain why 1/12+1/12+1/12 is the same as 1/4
Explanation of why 1/12+1/12+1/12 equals 1/4 through adding fractions with common denominators.
Adding fractions:
Convert all fractions to have a common denominator.
Add the numerators together.
Keep the denominator the same.
Therefore, 1/12 + 1/12 + 1/12 = 3/12 = 1/4.
Latifah makes $12 per hour. She works 18 hours per week. She calculates that in 4 weeks, she will earn $864. If her hourly rate and weekly hours are rounded to the nearest ten, which amount represents an estimate of the amount she will make over 4 weeks? Is her original calculation reasonable?
Answer and step-by-step explanation:
Rounding her hourly rate to the nearest ten, we get $10.
Rounding her number of hours to the nearest ten, we get 20.
This gives us an estimate of 10(20)(4) = $800
Her original calculation is reasonable; it is higher because the actual hourly rate is larger than the estimate, so her amount of pay should be higher than the estimate.
Three golfers, Vijay, Ernie, and Phil , during five years had a total of 221 top-10 finishes. Ernie had 13 more top-10 finishes than Phil. Vijay had 16 more top-10 finishes than Phil. Determine the number of top-10 finishes for each golfer.
During dance practice, Sasha drank 21⁄2 pints of water, and on the way home she drank 1⁄2 cup of water. How much water did she drink in total?
Sasha drank a total of 51⁄2 cups of water by converting the pints to cups and then adding the half cup she drank on the way home.
To calculate the total amount of water Sasha drank, we need to add the volume of water she drank during practice and the volume she drank on the way home. However, we first need to convert the measurements so that they are in the same unit.
There are 2 cups in a pint, so 21⁄2 pints of water is equivalent to 5 cups of water (since 2 pints = 4 cups and 1/2 pint = 1 cup). Adding the additional 1/2 cup she drank on the way home gives us:
5 cups (from 21⁄2 pints)+ 1/2 cup (drank on the way home)
5 + 1/2 = 51⁄2 cups in total
Therefore, Sasha drank a total of 51⁄2 cups of water.
Solve for Y please!!!
So I was doing my math homework and I got stuck on this one... Can anyone please help
Find the angles of a rhombus in which a diagonal length is equal to the length of a side.
We can draw the figure as shown in attachment.
Then you can see an equilateral triangle ABD.
So here angle A, B and D all will be 60 degrees.
So one of the angles of rhombus becomes 60°.
Rhombus is a parallelogram.Hence the adjacent angle becomes 120°.
Finally,angles of rhombus are 60 ,120,60,120.
Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to pointsdistance. the calculation is: distance=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√distance=(x2−x1)2+(y2−y1)2 you may declare additional variables. ex: for points (1.0, 2.0) and (1.0, 5.0), pointsdistance is 3.0.
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7 inches?
Answer with Step-by-step explanation:
The volume of cylinder is given by
V=πr²h
Where r is the radius and h is the height
The volume of a cylinder is 50.265 cubic inches when the radius is 2 inches and the height is 4 inches.
50.265=π×2²×4
⇒ π=50.265/16
Now when r=3 inches and h=7 inches
V=π×3²×7
[tex]V=\dfrac{50.265}{16}\times 9\times 7\\ \\V=199.336[/tex]
Hence, volume of the cylinder when the radius is 3 inches and the height is 7 inches is:
199.336 cubic inches
Which of the following are miscellaneous taxes? Gasoline tax License plate fees Hunting license fees Inheritance tax Marriage license fees
Its all five of them
John is walking home with his younger brother, Don. Their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet. John decides to walk along two sides of the lot, While don takes the diagonal path home. About how much farther does john walk than don?
The distance that John walk more than Don is 356.60 ft.
What is a rectangle?A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.
Given that John is walking home with his younger brother and their home is on opposite corner of a rectangle lot with dimensions of 500 feet by 800 feet.
Since John is walking on the sides, the lenght covered by John will be the sum of the sides.
Sum of the sides of the rectangle = 500 ft + 800 ft
Sum of the sides of the rectangle = 1300 ft
Further, Don is walkin on the diagonal, the lenght covered by Don will be the diagonal of the rectangle.
(Diagonal)² = (500 ft)² + (800 ft)²
(Diagonal)² = 250000 ft² + 640000 ft²
Diagonal² = 890000 ft²
Diagonal = 943.39811 ft
The distance that John walk more than Don is:
Distance = 1300 ft - 943.39811 ft = 356.60 ft
Learn more about Rectangle:
https://brainly.com/question/15019502
#SPJ3
Solve the equation on the interval (0,2pi )
2 Sin Θ cos Θ = -1
To solve the trigonometric equation 2sin(θ)cos(θ) = -1 on the interval (0,2π), use the double angle identity and find the solutions to be θ = π/4 and θ = 3π/4.
Solve the trigonometric equation:
2sin(θ)cos(θ) = -1
Use the double angle identity: sin(2θ) = 2sin(θ)cos(θ)
Substitute and solve to get sin(2θ) = -1
Find the solutions within the given interval (0,2π) which are θ = π/4 and θ = 3π/4.
Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points) 5(3a ⋅ 4) = 15a ⋅ 20 5(3a ⋅ 4) = (3a ⋅ 4) ⋅ 5 5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4 5(3a ⋅ 4) = 5 ⋅ 3a ⋅ 4 6
Answer:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Step-by-step explanation:
The Associative Property is applied to two types of operations: addition and multiplication. This property indicates that, when there are three or more terms in these operations, the result does not depend on the way in which the terms are grouped.
In this sense, the associative property for the sum is mathematically given by:
[tex](x+y)+z=x+(y+z)[/tex]
and for the multiplication by:
[tex](xy)z=x(yz)[/tex]
Now, let:
[tex]x=5\\y=3a\\z=4[/tex]
Using the Associative Property of Multiplication:
[tex](xy)z=x(yz)\\\\Replacing\hspace{3}the\hspace{3}values\\\\(5\cdot 3a)\cdot4=5(3a\cdot 4)[/tex]
Therefore the equivalent expressions are:
5(3a ⋅ 4) = (5 ⋅ 3a) ⋅ 4
Answer: C
Step-by-step explanation: Sorry If I am wrong, ty!!
-☈⊙⌘☿
Write an equation in slope- intercept form of the line through points S(-7,-6) and T(10,8)
The slope-intercept form of the line passing through points S(-7,-6) and T(10,8) is calculated by first determining the slope or 'rise over run' which is 14/17. Subsequently, the slope and point T(10,8) are used to find the y-intercept which is -8/17. Hence, the equation of the line is y = 14/17x - 8/17.
Explanation:To create an equation in the slope-intercept form we first need to find the slope or rise over run given our two points S(-7,-6) and T(10,8). The formula to find the slope (m) = (y2 - y1) / (x2 - x1). By substituting the values into the formula we get (8-(-6)) / (10-(-7)) = 14/17, which is our slope (m).
Next, we use the slope (m) and one point, let's take T(10,8), in the equation y = mx + b to find the y-intercept (b). Substituting the known values into the equation gives us 8 = 14/17*10 + b. Solving for b gives us b = -8/17.
Therefore, the slope-intercept form of the line passing through the given points S(-7,-6) and T(10,8) is y = 14/17x - 8/17.
Learn more about Slope-Intercept Form here:https://brainly.com/question/29146348
#SPJ12
To write the equation of a line in slope-intercept form, find the slope and y-intercept. For the points S(-7,-6) and T(10,8), the equation is y = (14/17)x + 70/17.
Explanation:To write the equation of a line in slope-intercept form, we need to find the slope (m) and the y-intercept (b). The slope can be found using the formula:
m = (y2 - y1) / (x2 - x1)
After finding the slope, we can substitute it along with one of the given points into the slope-intercept form equation: y = mx + b, where y and x are the coordinates of any point on the line. Solving the equation will give us the value of the y-intercept.
So, for the given points S(-7,-6) and T(10,8),
Find the slope: m = (8 - (-6)) / (10 - (-7)) = 14/17Substitute the slope and one point into the slope-intercept form equation: Solve for b: -6 = -98/17 + b, b = -6 + 98/17, b = 70/17Therefore, the equation in slope-intercept form is: y = (14/17)x + 70/17 Learn more about Equation of a line here:https://brainly.com/question/21511618
#SPJ12
The volume of a cones is 6 pie, if a cylinder has the same diameter and height as the cone what is it's volume?
Suppose that m∠A = m∠D. Which other fact would guarantee that the triangles are SIMILAR? A) AB DE = CB FE B) m∠C = m∠F C) m∠A + m∠B + m∠C = 180° D) 180° - m∠D = m∠E + m∠F
what is the missing reason in the proof?
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
Perpendicular bisector theorem: if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's endpoints.
So, if segment ST is the perpendicular bisector of segment RV, then, by perpendicular bisector theorem, any point in segment ST (like S) is equidistant from points R and V, in consequence, segments RS and SV are equal.
Write2/3and3/4 as a pair of fractions with a common denominator
Is this the right Answer?
A rectangular park is 5/6 miles wide and 1 5/7 miles long. What is the area of the park?
Please hepl me can't find answer from others!!!!
Sam bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 38 cards left. How many cards did Sam start with?
by definition, empirical is equal to
number of successful trials/ total number of trials
Step-by-step explanation:
The diagram represents the floor of a museum. The figure is made up of a rectangle and a triangle.
What is the area of the floor?
Enter your answer in the box.
______ ft2 I'll but the link for the pic
The figure is formed of a rectangle and a triangle
The rectangle has dimensions:length=38ft and width=20ft
The triangle has dimensions:base=33ft and height=9ft
Area of rectangle=length*width of rectangle
Area of triangle=[tex] \frac{1}{2} [/tex]*base*height
Area of figure= area of rectangle + area of triangle
Area=length*width+[tex] \frac{1}{2} [/tex]*base*height
Area=38*20 + [tex] \frac{1}{2} [/tex]*33*9
Area=760+[tex] \frac{1}{2} [/tex]*297
So we have, Area=760+[tex] \frac{297}{2} [/tex]
Or, Area=760+148.5
Area=908.5
Area of the floor=908.5[tex] ft^{2} [/tex]
Which expression is equivalent to(4+6i)^2
the answer is -20+48i
A retired couple invested $6000 in bonds at a simple interest rate of 5.1%. At the end of one year, how much interest did they receive on their investment? Please show your work.
The retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
To find the simple interest earned by the retired couple on their investment of $6000 at a rate of 5.1% for one year
we can use the formula: I = P × r × t
where I is the simple interest,
P is the principal (the amount invested),
r is the interest rate (as a decimal), and
t is the time period (in years).
Plugging in the given values, we get:
I = 6000 × 0.051 × 1
I = 306
Therefore, the retired couple received $306 in simple interest on their investment of $6000 at a rate of 5.1% for one year.
To learn more on Percentage click:
https://brainly.com/question/24159063
#SPJ3
what is the probability of obtaining six tails in a row when flipping a coin?
a rectangular prism has a volume of 144 cm3. the base is a square with a length of 4 cm. what is the height of the prism
Answer:
9 cm
Step-by-step explanation:
The volume is given by the formula ...
V = LWH
Filling in the given numbers, you have ...
144 cm^3 = (4 cm)(4 cm)H
H = (144 cm^3)/(16 cm^2) = 9 cm
The height of the prism is 9 cm.
What is the period of y = 3cot(4x - 3pi)
The period of y = 3cot(4x - 3pi) is π/2 units.
The period of the function y = 3cot(4x - 3π) is calculated as the reciprocal of the absolute value of the parameter in front of x.
To find the period, identify the coefficient of x, which is 4 in this case. The period is then given by 2π/|4| = π/2.
Therefore, the period of the given function y = 3cot(4x - 3π) is π/2 units.