600,000 (Six hundred thousand)
1) If we divide 600,000 by 100 we'll have 6000
So 600,000 is equal to 6000 hundreds.
Find the slope of the line that passes through each pair of points. (4,3) and (-6-5)
Answer:
4/5
Explanation:
Given the points (4,3) and (-6,-5), the slope of the line that passes through the two points is:
[tex]\begin{gathered} Slope=\frac{Change\text{ in y}}{\text{Change in x}} \\ =\frac{-5-3}{-6-4} \\ =\frac{-8}{-10} \\ =\frac{4}{5} \end{gathered}[/tex]The slope of the line is 4/5.
A design was constructed by using two rectangles, ABCD and A'B'C'D'. RectangleA'B'C'D' is the result of a translation of rectangle ABCD. The table of translations isshown below. Find the coordinates of point B.
From the table, to transform points in rectangle ABCD into A'B'C'D', we have to apply the next rule: (x, y) → (x+1, y-3). That is,
A(2, 4) → (2+1, 4-3) → A'(3, 1)
C(2, -1) → (2+1, -1-3) → C'(3, -4)
D(-6, -1) → (-6+1, -1-3) → D'(-5, -4)
Then, if we want to transform a point in A'B'C'D', the rule is: (x,y) → (x-1, y+3). Applying this rule to point B', we get:
B'(-5, 1) → (-5-1, 1+3) → B(-6, 4)
Jill is packing a lunch to bring to school. There are 3 types of sandwiches to choose from and 4 types of fruit. For the drink, Jill has 2 options. How many different lunches can Jill pack?
To solve this problem, it is necessary to use the multiplication counting rule. It states that the total outcomes of two events a and b is the product of a and b, it means a*b.
In this case, the total outcomes is the product of the number of options for each event (sandwiches, fruits and drinks). This is 3*4*2.
[tex]3\cdot4\cdot2=24[/tex]There are 24 different lunches Jill can pack.
1. (08.01 LC)Describe the process for calculating the volume of a cone. Use complete sentences.
The volume of cone is calculated using this formula:
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ r\colon\text{radius} \\ h\colon\text{height} \\ \pi\colon\text{ a constant with a value of }\frac{22}{7} \end{gathered}[/tex]So, to obtain the volume of a cone, the radius and the height must be known.
We then multiply the value of the constant pi by the square of the radius and the height, and then divide the final result by 3.
The unit is cubic unit.
Graph the set {x | x≥-1) on the number line.Then, write the set using interval notation.
Answer:
Interval Notation: (-1, ∞)
Explanation:
Given the set:
[tex]\{x|x\ge-1\}[/tex]The graph of the set on the number line is attached below.
Note that all values of x greater than -1 are to the right of -1.
Next, the set written using the interval notation is:
[tex](-1,oo)[/tex]Tanner wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 5 3/4 m by 3 1/2 m. Find the area the grass seed needs to cover
The area of the pool that Tanner does not need to cover is
20.125 square meters
Dimensions of the pool:
Length = 5 3/4 m by 3 1/2 m
area of rectangular pool
= product of dimensions
= 23/4 × 7/2
=20.125 square meters
Area is a unit of measurement used to describe a region's size on a flat or curved surface. While the area of a plane region or plan area refers to the area of a shape or planar lamina, surface area refers to the volume of a raised platform or the edge of a three-dimensional object.
Area is the two-dimensional equivalent of the volume of a solid as well as the length of a curve (a one-dimensional term). It can be compared to the amount of material of a certain thickness needed to create a model of the shape or the amount of paint needed to completely cover a surface in one application.
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Solve the quadratic equation using the quadratic formula or by completing the square. Show exact answers in simplified radical form; no rounded decimals. x^2-6x+1=0
By using Quadratic formula, the solutions are
[tex]x = {3 + 2\sqrt{2}}[/tex] or [tex]x = {3 - 2\sqrt{2}}[/tex]
What is Quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A two degree equation is known as Quadratic equation.
If [tex]ax^2+bx + c = 0 (a\neq 0)[/tex] be a quadratic equation,
[tex]x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}[/tex]
This is the quadratic formula
Here,
The given quadratic equation is
[tex]3x^2 = 7x - 3\\3x^2 - 7x + 3 = 0\\[/tex]
a = 1, b = -6, c = 1
x =
[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4\times 1 \times 1}}{2\times 1}\\\frac{6 \pm \sqrt{36 - 4}}{2}\\\frac{6 \pm \sqrt{32}}{2}\\\frac{6 \pm 4\sqrt{2}}{2}\\\frac{2(3 \pm 2\sqrt{2})}{2}\\{3 \pm 2\sqrt{2}}[/tex]
[tex]x = {3 + 2\sqrt{2}}[/tex] or [tex]x = {3 - 2\sqrt{2}}[/tex]
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An initial amount of money is placed in an account at an interest rate of 1% per year, compounded continuously. After six years, there is $1083.07 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.
We have to find the initial value in the account.
The interest rate is r = 1% = 0.01.
The time period is t = 6.
The final value after 6 years is FV = 1083.07.
The interest is compounded continously.
We can relate the present value PV with the other variables as:
[tex]\begin{gathered} FV=PVe^{rt} \\ PV=FVe^{-rt} \\ PV=1083.07\cdot e^{-0.01\cdot6} \\ PV=1083.07\cdot e^{-0.06} \\ PV\approx1083.07\cdot0.94176 \\ PV\approx1020.00 \end{gathered}[/tex]Answer: the initial amount was $1020.00
Estimate the solution to the system of equations-3x+3y=92x-7y=-14X=Y=
Thus x= -1.4 and y=1.6
Match the number with the corresponding letters(graphs). Note the number should have multiple graphs. Please answer 9
A function is increasing when the y-value increases as the x-value increases. A function is decreasing when the y-value decreases as the x-value increases.
The domain is the set of allowable x-values.
The following graphs as labelled changes from decreasing to increasing at least once:
C, K, O, M, R
Solve 2(x+7)-34=4x-11x+4(x-1)
Given:
There are given the equation:
[tex]2(x+7)-34=4x-11x+4(x-1)[/tex]Explanation:
To solve the above equation, we need to use the above equation:
[tex]\begin{gathered} 2(x+7)-34=4x-11x+4(x-1) \\ 2(x+7)-34=4x-11x+4x-4 \\ 2(x+7)-34=-3x-4 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2(x+7)-34=-3x-4 \\ 2(x+7)-34+3x+4=0 \\ 2x+14-34+3x+4=0 \\ 2x+18-34+3x=0 \end{gathered}[/tex]Then,
[tex]\begin{gathered} 2x+18-34+3x=0 \\ 5x-16=0 \\ 5x=16 \\ x=\frac{16}{5} \end{gathered}[/tex]Final answer:
Hence, the value of x is shown below:
[tex]x=\frac{16}{5}[/tex]The following is the graph of the function f. Determine the domain and range of f. Assume the entire function is shown.Domain:Range:
Given:
Required:
We need to find the domain and range of the given function.
Explanation:
Recall that the domain of a graph consists of all the input values shown on the x-axis.
[tex]Domain\text{ =\lbrack-5,5\rbrack}[/tex]Recall that the range is the set of possible output values, which are shown on the y-axis.
[tex]Range=[-25,25][/tex]Final answer:
[tex]Domain\text{ =\lbrack-5,5\rbrack}[/tex][tex]Range=[-25,25][/tex]In the function y=-3x^2+1, what effect does the negative sign have on the graph, as compared to the graph of y=x^2. A.It shrinks the graph horizontally by a factor of 3 B. It reflects the graph across the x-axis C. It stretches the graph horizontally by a factor of 3 D. It shrinks the graph vertically by a factor of 3
The negative sign reflects the graph across the x axis
Then, the answer is number B. It reflects the graph across the x-axis.
5. The locations of Andy's housc, school and local park form a triangle, as shown. School 4 miles House ? 12 miles Park Which is a possible distance from the local park to Andy's school? A. 4 miles B. 8 miles C. 10 miles D. 16 miles
Donovan wants to earn a 70% in Mr. Mottola's class. He knowshe currently has an 68% in the class after 7 grades. What is theminimum grade Donovan would need to earn in order to have a70%.
Let's check the information given so far to answer the question correctly:
Donovan target = 70%
Donovan currently average with 7 grades = 68%
What is the explicit function for the data in the table ?
Let's look at the info we have for each term:
term 1 = 4
term 2 = 12
term 3 = 36
term 4 = 108
term 5 = ?
Notice that term 2 (12) is obtained from the previous term 1 (4) by multiplying it by the number 3:
12 = 4 * 3
Now, term number 3 is obtained from term 2 (the previous) also by multiplying it by 3:
36 = 12 * 3
term number 4 is obtained from multiplying the previous term (term 3) by the number 3 again:
108 = 36 * 3
Now, we can conclude that if the strategy carries on, term number 5 will be the product of the pervious term (108) times 3. That is:
term 5 = 108 * 3 = 324
Now, we need to decide on which formula better describes our function:
We find that the function is better described by the formula:
[tex]f(n)=\frac{4}{3}\cdot3^n[/tex]since we can verify:
term 1 =
[tex]\frac{4}{3}\cdot3^1=4[/tex]term 2 =
[tex]\frac{4}{3}\cdot3^2=12[/tex]term 3 =
[tex]\frac{4}{3}\cdot3^3=\frac{4}{3}\cdot27=36[/tex]term 4 =
[tex]\frac{4}{3}\cdot3^4=\frac{4}{3}\cdot81=108[/tex]So the correct answer is the second option they give you in the list.
What are the possible values for p in the equation below? Check all that apply. Ipl = 12 -12 -6 0 1 6 12 24
Explanation:
The absolute value of any number is always positive it doesn't matter if the number is positive or negative.
In this case we have that the absolute value of p is 12, therefore p could be 12 or -12
Answers:
• -12
,• 12
Answer:
Step-by-step explanation:
12 and -12 is the answer
A and F
a factory makes 4.8 kilograms of pumpkin pie filling per minute. how many kilograms of pie filling will the factory make in 10 minutes?
ANSWER
48kg
EXPLANATION
In 1 minute, the factory makes 4.8kg of pumpkin pie filling, so in 10 minutes it will make,
[tex]10\min \cdot\frac{4.8\operatorname{kg}}{1\min}=48\operatorname{kg}[/tex]In 10 minutes, the factory makes 48 kilograms of pumpkin pie filling.
Find an equation for the line below.A(5,1) B(-4,5)
The equation of a line has always the form
[tex]y=m\cdot x+b[/tex]where "m" is called its slope, and "b" is called its y-intercept. It's a well-known fact that m can be calculated using two points of the line. Let's use A and B:
[tex]m=\frac{-5-1}{-4-(5)}=\frac{-6}{-9}=\frac{6}{9}=\frac{2}{3}[/tex]Then, our equation becomes
[tex]y=\frac{2}{3}x+b[/tex]Replacing A there, we get
[tex]\begin{gathered} 1=\frac{2}{3}(5)+b\Rightarrow1=\frac{10}{3}+b\Rightarrow\ldots \\ \ldots b=1-\frac{10}{3}=-\frac{7}{3} \end{gathered}[/tex]Having found m and b, the final answer is
[tex]y=\frac{2}{3}x-\frac{7}{3}[/tex]I do not understand how to do these two questions below.
Question 5:
Step 1
From the figure, we can say that vertically opposite angles are equal.
Step 2:
From the diagram,
Hi! May you please help me complete question 4. I'm kinda confused
Given:
The coordinates of the figure ABC are,
A(-2,0)
B(-3,-4)
C(-1,-4)
To find the correct statement:
Let us find the coordinates after rotating the figure 90 degree clockwise direction.
As we know,
In a rotation of 90 degrees clockwise, every point (x,y) will be changed to (y, -x).
So, we get,
D(0,2)
E(-4, 3)
F(-4,1)
It perfectly matches with given graph.
So, Betty's statement is correct.
If we translate the figure two units up and two units right, the given point B (-3,-4) will be changed to (-1,-2) and its reflected point over the y-axis will be (1,-2).
But, this does not match with E(-4,3).
So, Veronica's statement is wrong.
Hence, Betty's statement alone is the correct one.
72 less than the quotient of a number and -2 is -88Select all the statements that are true about the sentence shown.A.) The equation representing this sentence is 72 - x/-2 = -88 because x/-2 is subtracted from 72.B.) The solution to the equation -40 + x = -8 is equal to the unknown number in the sentenceC.) The solution is 32 because -88 + 72 = -16 and -16 times -2 = 32.D.) The solution to the equation -56 + 8x = 200 is equal to the unknown number in the sentence.
ANSWER
C.) The solution is 32 because -88 + 72 = -16 and -16 times -2 = 32.
EXPLANATION
We have that 72 less than the quotient of a number and -2 is 88.
First, let us write the equation from the sentence above.
Let the number be x.
The quotient of x and -2 means x/-2
If we subtract 72 from that quotient, the answer is -88.
Therefore, the sentence is:
[tex]\frac{x}{-2}\text{ - 72 = -88}[/tex]A cannot be correct because the equation is wrong.
B cannot be correct because the equation does not relate to the sentence given.
C is correct because if we solve for x from the equation, we get 32.
That is:
x/-2 = -88 + 72
x/-2 = -16
Multiply through by -2:
x = -16 * -2
x = 32
D cannot be correct because the equation does not relate to the sentence given.
The only correct option is C.
Mr.Cumme has 5 bags of jelly beans for his classroom. Each bag is 7/8 full. Which expression can be used to represent the total amount of full bags of jelly beans?- A. 7 divided by (8x5)- B. (5X7) divided by 8- C. 8 divided by (7X5)- D. 6x ( 7 divided by 5)
Consider that the coefficient for the number of full bags is 7/8 and the number of bags is 5. By divinding these numbers you get the total amount of full bags:
[tex]\frac{\frac{7}{8}}{\frac{5}{1}}=\frac{7}{5\times8}[/tex]when we have used division between fractions (Notice what we added a 1 denominator to 5).
Hence, the answer:
A. 7 divided by (8 x 5)
numbers 14. and 15. pls really need it
Answer:
Step-by-step explanation:
for 15 115 hours befor
Is 3.0 equal to 3.0000000
Answer:
Yes
Explanation:
Yes, 3.0 is equal to 3.0000 because in Mathematics, once we have only zeros after the decimal point, we can discard them and write only the whole number part. So 3.0 and 3.0000 can both be written as 3.
5x + 9y = 31 and - 2x - y = 11
5x + 9y = 31 -------------(1)
-2x - y = 11 ---------------(2)
Multiply through equation (2) by 9
-18x - 9y = -99---------------(3)
Add equation(1) and (2)
-13x = -68
Divide both-side by -13
x = 5.23
Substitute x in equation(1) and solve for y
-2(5.23) - y = 11
-10.46 - y = 11
GHA PBDCIdentify the apothem (a), the radius (r), and the perimeter (p) of the regular figure.A. a=OB,r=OP.P = (8)ABB. a= OP,r=OA.P = ABC. a=OP,r=OBP = PBD. a=OP,r=OA. P = (8)AB
Step 1
Given;
Step 2
The apothem is a perpendicular line from the center of a regular polygon to one of the sides. O is the center of the regular polygon.
The radius of a regular polygon is a segment with one endpoint at the center and the other endpoint at one of the vertices. Thus, there are n radii in an n-sided regular polygon. The center and radius of a regular polygon are the same as the center and radius of a circle circumscribed about that regular polygon.
The perimeter of a regular polygon is a sum of the length of all the sides of the polygon.
Thus, the required parts are;
[tex]a=OP,\text{ r=OA, p=8AB}[/tex]Answer; Option D
Find limit as x approaches three from the right of f of x. .
EXPLANATION
The expression means that we need to compute the limit as the function f(x) approaches 3 from the right.
We need to use the lines that comes from the right of 3 and gets as close as we want to x=3.
That is the line that has the open circle around y=3
Therefore, the limit is equal to 3
This recipe serves 4 people. Apple Cider-4 cups Caramel Syrup-¼ cup Pumpkin Spice-1 tsp. Make the above recipe as is above. Taste the punch. If you want to make more punch for more people and have it taste the same, how would you increase the amounts of each ingredient? For 8 people? For 12 people? If you wanted to taste more caramel syrup, how would you adjust the ratio of ingredients? If you wanted to taste more pumpkin spice, how would you adjust the ratio of ingredients? Make the punch with either more caramel syrup or more pumpkin spice and ask those you share it with to write a review of the new punch. Activity 2: Thanksgiving Painting Create a painting for Thanksgiving. In your painting be sure to include the following: 2 different shades of Orange Write the ratio of red to yellow that you used for each shade of orange. How did you know what to change in the ratio in order to create a different shade of the color? 2 different shades of Green Write the ratio of yellow to blue that you used for each shade of green What did you change about your first green to create the second color? A geometric shape Identify the shape and describe its properties. HELP PLEASE mark as brainlyest
Here, we have a recipe that serves 4 people in the given ratio below;
Cider to Caramel syrup to Pumpskin spice = 4:1/4:1
Now to make for 8 people, we simply will multiply what we had in the original recipe by 2 since it was for 4 people initially
So the punch ratio for 8 people will be;
8 cups of Apple Cider
1/2 cups Caramel syrup
2 teaspoons of Pumpskin spice
For 12 people, we simply multiply what we had initially for 4 people by 3. This will be;
12 cups of Apple Cider
3/4 cups of Caramel syrup
3 teaspoons of Pumpskin spice
JUST NEED HELP ON THE LAST ONE AND A VERIFICATION ON EVERYTHING ELSE !!!!!!!!!
In any right triangle with acute angles x and y, then
The sum of x and y is 90 degrees
[tex]\begin{gathered} \sin x=\cos y \\ \cos x=\sin y \\ x+y=90^{\circ} \end{gathered}[/tex]Then for part (1)
Since triangle XYZ is a right angle at Z
Then
[tex]X+Y=90^{\circ}[/tex]Then X and Y are complementary angles
Part (2)
sin X = opposite/hypotenuse
[tex]\sin X=\frac{x}{z}[/tex]sin Y = opposite/hypotenuse
[tex]\sin Y=\frac{y}{z}[/tex]cos X = adjacent/hypotenuse
[tex]\cos X=\frac{y}{z}[/tex]cos Y = adjacent/hypotenuse
[tex]\cos Y=\frac{x}{z}[/tex]Part (3)
[tex]\begin{gathered} \sin X=\cos Y \\ \cos X=\sin Y \end{gathered}[/tex]Part (4)
Since sin = cos, then
The sum of the 2 angles must be 90
One of them is 23 degrees, then the other must be
[tex]90-23=67[/tex]The answer is
[tex]\cos (23)=\sin (67)[/tex]