[tex]-0.7+\frac{2}{8} =[/tex]
[minus, 0, point, 7, plus, 2, divided by, 8, equals]
You can make the denominators the same to combine them, so you can multiply -0.7 by [tex]\frac{8}{8}[/tex]
[tex]-0.7(\frac{8}{8})+\frac{2}{8}[/tex]
[tex]-\frac{5.6}{8}+\frac{2}{8}=-\frac{3.6}{8}= - 0.45[/tex]
Final answer:
The sum of −0.7 and ⅔ is −0.45 when the fraction is simplified to 0.25 and then added to −0.7.
Explanation:
Fractions are used extensively in mathematics, particularly in arithmetic, algebra, geometry, and calculus, as well as in everyday situations such as cooking, measurements, and financial calculations. They provide a convenient way to express quantities that are not whole numbers and to perform operations such as addition, subtraction, multiplication, and division.
The student is asking for the sum of -0.7 and the fraction 2/8. To find the answer, first simplify the fraction 2/8, which can be reduced to 1/4. Now, convert 1/4 into decimal form, which is 0.25. Next, add this decimal to -0.7 to find the sum:
-0.7 + 0.25 = -0.45.
Therefore, the exact decimal for the expression −0.7 + ⅔ is -0.45.
Write each expression using a single exponent. x to the ninth over x squared
Answer:
x^7
Step-by-step explanation:
The expression is written as a single exponent in x⁷
How to simply the expressionIndex forms are forms used to represent numbers or variables that are too large or small in more convenient forms.
From the information given, we have that the expression is;
x to the ninth over x squared
This is represented as;
x⁹/x²
Since the forms are of like bases, subtract the exponents, we get;
x⁹⁻²
Subtract the exponents, we get;
x⁷
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Match the following items.
A jar contains a mixture of 12 black marbles, 10 red marbles, and 18 white marbles, all the same size. If two marbles are drawn from the jar without being replaced, what would the probability be:
1.
of drawing two black marbles?
2.
of drawing a white, then a black marble?
3.
of drawing two white marbles?
4.
of drawing a black, then a red marble?
Options
51/260
1/13
9/65
11/130
I have to match them up
This problem can be solved using probability, the equation of the probability of an event A is P(A)= favorable outcomes/possible outcomes. The interception of two probable events is P(A∩B)= P(A)P(B).
There are 12 black marbels, 10 red marbles, and 18 white marbels, all the same size. If two marbles are drawn from the jar without being replaced.
The total of the marbles is 40.
If two marbles are drawn from the jar without being replaced, what would the probability be:
1. of drawing two black marbles?
The probability of drawing one black marble is (12/40). Then, the probability of drawing another black marble after that is (11/39) due we drawing one marble before.
P(Black∩Black) = (12/40)(11/39) = 132/1560, simplifying the fraction:
P(Black∩Black) = 11/130
2. of drawing a white, then a black marble?
The probability of drawing one white marble is (18/40). Then, the probability of drawing then a black marble after that is (12/39) due we drawed one marble before.
P(White∩Black) = (18/40)(12/39) = 216/1560, simplifying the fraction:
P(White∩Black) = 9/65
3. of drawing two white marbles?
The probability of drawing one white marble is (18/40). Then, the probability of drawing another white marble after that is (17/39) due we drawed one marble before.
P(White∩White) = (18/40)(17/39) = 306/1560, simplifying the fraction:
P(White∩White) = 51/260
4. of drawing a black marble, then a red marble?
The probability of drawing one black marble is (12/40). Then, the probability of drawing then a red marble after that is (10/39) due we drawed one marble before.
P(Black∩Red) = (12/40)(10/39) = 120/1560, simplifying the fraction:
P(Black∩Red) = 1/13
Which statement describes the graph of f(x) = 4x2 + 20x + 25?
The graph does not intersect the x-axis.
The graph touches the x-axis at (–2.5, 0).
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
The graph intersects the x-axis at (2, 0) and (5, 0).
Answer:
2nd statement is true
Step-by-step explanation:
Please use " ^ " to denote exponentation: f(x) = 4x^2 + 20x + 25.
Take a look at the second statement. If you'll substitute -2.5 for x, to find f(-2.5), you'll find that the result is 0; Thus, this second statement is true.
Answer:
The graph touches the x-axis at (–2.5, 0).
Step-by-step explanation:
Given : f(x) = 4x² + 20x + 25.
To find : Which statement describes the graph .
Solution : We have given
f(x) = 4x² + 20x + 25.
On factoring
4x² + 10x + 10x+ 25 = 0
On taking common 2x from first two terms and 5 from last two terms.
2x ( 2x + 5 ) +5 (2x + 5 ) = 0
On grouping
(2x +5) (2x +5) = 0
For 2x +5 = 0
On subtracting 5 both side
2x = -5
On dividing by 2
x = [tex]\frac{-5}{2}[/tex] = - 2.5
x = - 2.5 .
Points (-2.5 , 0)
Therefore, The graph touches the x-axis at (–2.5, 0).
How many edges, vertices, and faces does the figure shown have?
A.12 edges, 6 vertices, and 8 faces
B.12 edges, 8 vertices, and 6 facesC.
8 edges, 12 vertices, and 6 faces
D.12 edges, 8 vertices, and 8 faces
Answer:
A. 12 edges. 6 vertices, and 8 faces.
Step-by-step explanation:
The edges are the places where the faces meet. They can be easily identified as the lines that form the shape. There are 12 edges.
The vertices are the places where the edges meet. They are more commonly known as the corners of the figure. There are 6 vertices.
The faces are the flat sides/surfaces of the figure. In this case, the faces are the triangles. There are 8 faces.
Hope this helps!
The given figure has 12 edges, 6 vertices, and 8 faces. This can be obtained by understanding what edges, vertices and faces are and counting them.
What are edges, vertices and faces?Edge: A line segment on the boundary and is known as side of a polygon.Vertex (plural: vertices): A point where two line segments meet forming an angle.Face: A flat surface of a solid.For example, a cube has 12 edges, 8 vertices and 6 faces.In the given figure we can count the edges, vertices and faces.
It is observed that there are 12 edges, 6 vertices, and 8 faces.
Hence the given figure has 12 edges, 6 vertices, and 8 faces. The correct answer is A.
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Which statement is true about the letter H? It has line symmetry only. It has rotational symmetry only. It has both line and rotational symmetry. It has neither line nor rotational symmetry.
Answer:
it has both line and rotational symmetry
Answer:
youre answer is it has both line and rotational symmetry
Step-by-step explanation:
Please help. Find the value of x
21x is 21x im glad that I can help you
A polygon plotted on a coordinate plane has 6 vertices. What is the name of the polygon?
Answer: the polygones name is a hexagon i believe
Step-by-step explanation:
hex means six in greek and has an internal angle of 120 so the correct ansewer is a hexagon.
A polygon with six vertices is called a hexagon.
It is a two-dimensional figure with six sides and six angles. Hexagons are common in various real-life patterns and have properties like area and perimeter.
A polygon plotted on a coordinate plane with six vertices is known as a hexagon. A hexagon is a two-dimensional geometric figure with six angles and six sides.
Polygons are closed figures made up of straight line segments. When the polygon has six sides, it has interior regions and exterior regions that divide the plane it lies on. Each vertex connects two sides of the hexagon, forming angles at each vertex.
You roll a standard number cube once. Find P(number greater than o).
Answer:
6/6
Step-by-step explanation:
If a standard number cube has six sides and all the numbers are larger than 0 you have a 6/6 chance
Anton is drawing a flag of Switzerland, which has a square shape, for a school project. If he wants the flag to have sides that are 16 inches long, what will be the area of the completed flag?
Answer:
64 in2
hope it helps (:
Answer:
A
Step-by-step explanation:
it is what it is; you either know it or you don't.
The expression 37-6 can be written as____
Answer:
31
Step-by-step explanation:
Do the subtraction: 37 - 6 = 31
Given that K is the centroid of EFG find GE and GI
Answer:
D) GE = 10 and GI = 12
Step-by-step explanation:
Given: KI = 4 and GH = 5
K is the centroid of EFG
So
KI = 1/3 (GI)
GI = 3 (KI) = 3(4) = 12
Because K is the centroid of EFG so GH = HE = 5
GE = GH + HE
GE = 5 + 5
GE = 10
Answer
GE = 10 and GI = 12
Answer:
D. GE = 10; GI = 12
Step-by-step explanation:
Given that K is the centroid of EFG, then GH = HE = 5, so GE = GH + HE = 5 + 5 = 10
The 2/3 rule states that the centroid is 2/3 of the way from the vertex to the opposite midpoint. This means that GK is doubled than KI, then GK = 2*4 = 8, and GI = GK + KI = 8 + 4 = 12
How do you know how long a trip will take if you have 399 mileage on one tank of gas but the maximum you can drive in one day is 600?
Answer:
Step-by-step explanation:
600 minus 399 is 201
The trip will take at least two days given the car's mileage limit per tank and the daily driving limit.
To determine how long a journey will take with the given constraints, we first need to understand the limitations. The car can run for 399 miles on one tank of gas, and the maximum you can drive in one day is fixed at 600 miles. Since the daily maximum driving distance is greater than the mileage per tank, the limiting factor is the gas tank range.
Assuming you start with a full tank, you would need to refill once you've driven 399 miles. If there is no wait time for refilling and the efficiency of the car does not change, you could potentially drive for another 399 miles after refilling. However, due to the 600 miles per day limit, you would need to stop before exhausting your second tank. To find out the total driving time, divide the total distance by the daily driving limit (if the total distance is larger than what can be covered in one day).
For example, if the total trip is 700 miles, it would take at least two days because you can cover 600 miles on the first day and the remaining 100 miles on the second day. However, this does not account for any potential stops, breaks, or other delays.
Shelley drove from New Haven, Connecticut, to New York City in 90 minutes. Which equation relates the distance she traveled to her speed?
A.
distance = speed + 90
B.
distance = speed × 90
C.
distance − speed = 90
D.
distance × 90 = speed
The correct answer is B.
Distance = speed + 90
The equation relates the distance she traveled to her speed is Speed x 90 = distance.
The speed a person travels is the total distance driven per the total time it took to travel.
Speed = total distance / total time
The time it took to drive is 90 minutes: Speed = distance / 90
In order to determine the equation that relates distance to speed, make distance the subject of the formula. In order to do this, multiply both sides of the equation by 90: Speed x 90 = distance.
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Please help will give brainliest brainliest
Answer:
D. [tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]
Step-by-step explanation:
Consider the set
[tex]A=\left\{(2,3),\ (5,1),\ (-3,-2),\ (0,3)\right\}[/tex]
This set consists of four ordered pairs.
The first numbers in these pairs are [tex]2,\ 5,\ -3,\ 0.[/tex] These numbers are integer numbers (not natural, because -3 is negative).
The second numbers in these pairs are [tex]3,\ 1,\ -2,\ 3.[/tex] These numbers are integer numbers too (not natural, because -2 is negative).
Options contain only natural and real sets, so, the first and the second numbers are real numbers and
[tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]
Answer:
D. R X R
Step-by-step explanation:
The answer is choice D because, the set of the actual numbers of R has a 0 so A is a subset of R X R
how many 4 letter words can you make from a list of 12 letters, if you use each letter only once in each word?
Answer:
it would be 3 because if you list words then just divide 12 by 4 and you get 3
The number of the 4 letter words that can be made from a list of 12 letters will be 495.
What is a combination?Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
Then the number of the 4 letter words can be made from a list of 12 letters will be
¹²C₄ = 12! / [(12 - 4)! x 4!]
¹²C₄ = 12 x 11 x 10 x 9 x 8! / 8! x 4 x 3 x 2 x 1
¹²C₄ = 11 x 5 x 9
¹²C₄ = 495
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Hello! I’m confused and I need some help to complete this. I will mark brainliest
Answer: a) x=37,
b)no solutions
c)x=0
Step-by-step explanation:
In then the problem, you will need to isolate the x, use the inverse operation, and solve. For example, if I had the problem x-6=64, i would have to use the inverse operation of 6 to isolate the x. You would add 6 on both sides.(addition is the inverse of subtraction). THat would be x=58.
When converting from inches to feet, the measurement in inches, m, of an object varies directly with
What the object adds up to
The factory produces 4 gallons of orange juice for every 24 gallons of apple juice but is use this ratio to answer the question what unit rate describes the rate at which the factory produces juice
Answer:
1/6 (1 gallon of orange juice for every 6 gallons of apple juice)
Step-by-step explanation:
4/24=24/4x1/36
This is because you reverse the division (or fraction) into a easier to solve equation, and the 1/36 is there to balance out that change.
What is the rule for the reflection
Answer:
hey user!
your answer is here...
laws ( rules ) of reflection are :-
• angle of incidence is equal to angle of reflection.
• the incident ray, Normal ray and reflected ray all lie in same plane.
cheers!!
Step-by-step explanation:
-x+ 3y = 14
3x – 3y =-6
How would do in steps ?
for the first part:
Let's solve for x.
−x+3y=14
Step 1: Add -3y to both sides.
−x+3y+−3y=14+−3y
−x=−3y+14
Step 2: Divide both sides by -1.
−x/−1 = −3y+14/−1
x=3y−14
Answer:
x=3y−14
Second part:Let's solve for x.
3x−3y=−6
Step 1: Add 3y to both sides.
3x−3y+3y=−6+3y
3x=3y−6
Step 2: Divide both sides by 3.
3x/3= 3y−6/3x=y−2
Answer:
x=y−2
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.
Which statement is true if 15 movies are rented from each company?
A)Movies For Less costs $5 more.
B)Movies Plus costs $5 more.
C)Movies Plus costs $6 more.
D)Each company charges the same amount.
↓Movie Rentals↓
Answer: A) movies for less cost $5 more
Step-by-step explanation:
10 × 3 =30
15 × 2= 30+10=40 movie plus
15 × 3= 45 movies for less
Answer:
A)Movies For Less costs $5 more.
Step-by-step explanation:
Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.
So, 15 movies from this provider will cost = [tex]10+2(15)[/tex]
=> [tex]10+30=40[/tex] dollars.
Movies For Less charges $3 for each movie but does not have a monthly service fee.
So, 15 movies from this provider will cost = [tex]15\times3=45[/tex] dollars.
Comparing both providers, we can see that Movies For Less charges $5 more than Movies Plus.
Therefore, option A is correct.
Which of the following expressions are equivalent to 48? Select all that apply.
4(-3 +15)
4(4 + 2 + 5)
4(7 + 2 + 3)
4(8 + 6-2)
4-2-4 + 16)
Answer:
see below
Step-by-step explanation:
4(-3 +15) = 48
4(4 + 2 + 5) = 44
4(7 + 2 + 3) = 48
4(8 + 6-2) = 48
4(-2-4 + 16) = 40
We are required to select all expressions equivalent to 48
All expressions are equivalent to 48 except 4(4 + 2 + 5) and 4(-2-4 + 16)
Check all options:
4(-3 +15)= 4(12)
= 48
4(4 + 2 + 5)= 4(11)
= 44
4(7 + 2 + 3)= 4(12)
= 48
4(8 + 6-2)= 4(12)
= 48
4(-2-4 + 16)= 4(10)
= 40
Therefore, all expressions are equivalent to 48 except 4(4 + 2 + 5) and 4(-2-4 + 16)
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What is the slope of the line that passes through the points (1,7),
(10, 1)?
3/2
2/3
-3/2
-2/3
Answer:
The slope of a line is the change in y divided by the change in x.
( y1 - y2 ) / ( x1 - x2 )
It does not matter which point you choose as (x1, y1) and (x2,y2)
( 7 - 1 ) / ( 1 - 10 )
( 6 ) / ( -9 ) This will simplify to -2/3.
What’s the square root of 36?
Answer:
6
Step-by-step explanation:
the square root is basically exponents 6*6 is 6^2 which is 36.
NNEED HELP!! GEETSS BRAINLIEST**
Answer:
D. [tex]y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2[/tex]
Step-by-step explanation:
The period of the functions [tex]y=\cos x,\ y=\sin x[/tex] is [tex]2\pi.[/tex]
The period of the function [tex]y=a\cos (kx+b),\ y=a\sin(kx+b)[/tex] is ALWAYS [tex]\dfrac{2\pi}{k}[/tex]
In your case, you have function [tex]y=-3\sin \left(\dfrac{2}{3}x-2\pi \right)+2[/tex] and this function has the period
[tex]\dfrac{2\pi}{\dfrac{2}{3}}=3\pi.[/tex]
You need to find the function that will have the period that is half of [tex]3\pi,[/tex] so
[tex]\dfrac{3\pi}{2}=\dfrac{2\pi}{k}\\ \\3k=4\\ \\k=\dfrac{4}{3}.[/tex]
So, correct choice is
[tex]y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2[/tex]
Answer:
The answer is y = 3 cos(4/3 x - 2π) + 2 ⇒ last answer
Step-by-step explanation:
* Lets revise the sine function
- If we have a sine function of the form f(x) = Asin(Bx + C) + D, where
A, B , C and D are constant, then
# Amplitude is A
- The Amplitude is the height from the center line to the peak .
Or we can measure the height from highest to lowest points and
divide that by 2
# Period is 2π/B
- The period goes from one peak to the next
# phase shift is C (positive is to the left)
- The Phase Shift is how far the function is shifted horizontally
from the usual position.
# vertical shift is D
- The Vertical Shift is how far the function is shifted vertically from
the usual position.
* Now lets solve the problem
∵ y = -3sin(2/3 x - 2π) + 2
- the period is 2π ÷ 2/3 = 2π × 3/2 = 3π
∴ The period of the function is 3π
- We look for a function has one-half (3π), means 3π/2
* Lets look to the answer to find the right one
- All of them have the same value of B except the last one, lets
check it
∵ y = 3cos(4/3 x - 2π) + 2
∵ B = 4/3
∴ The period = 2π ÷ 4/3 = 2π × 3/4 = 6π/4 = 3π/2
∵ 3π/2 is half 3π
∴ The last answer is right
decide if the graphs of each pair will be parallel, perpendicular or neither.
a. y = -2x + 5 and y = 1/2x - 7
b. y = 3x + 9 and 3y - x = 6
c. 4y - x = 8 and y = 1/4x - 3
part b //
find the equation of the line that is:
a. parallel to y = 3x - 5 and passes through (-2, 1).
b. perpendicular to y = -2/5x + 7 and passes through (4, 6).
so parallel is just numbers with the same slope but different x value
and perdicular is the One with different signs and oppisite reciprocals
a) perpendicular because -2 is the oppisite sign and reciprocal of 1/2
b)neither
c) niether
and B)
a) 3x-2
b)y=5/2 +4
i think
Should i wear a yellow shirt or a purple shirt
Answer:
Yellow of course but it depends on how you look in the colors
Step-by-step explanation:
Answer:
If your day is not feeling good then I would recommend a yellow to brighten it up. If your day is already good but feeling not good where a purple to stand out. Good Luck I hope your day is doing well!!
Step-by-step explanation:
Will mark brainliest!!!
Which equation represents: "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."
A) 12x^2 + 4xy + 100 = 0
B) 12x^2 − 4xy + 100 = 0
C) 12x^2 + 4xy − 100 = 0
D) 12x^2 − 4xy − 100 = 0
Let's call the first unknown integer x and the second one y.
"Four times an unknown integer"
We can write it as 4x"Multiplied by three times the unknown integer plus a different unknown integer"
4x is multiplied by 3x+y, so 4x(3x+y)=12x²+4xy"Equals 100."
12x²+4xy=100And so the answer is C: 12x²+4xy-100=0
12x²+4xy-100=0. The equation that represents the statement of the problem is 12x²+4xy-100=0.
The equation is represents by "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."
First, we have the statement "four times an unknown integer", this is:
4x
Then, multiplied by three times the unknown integer plus a different unknown integer, that is:
4x(3x+y)
And finally, the equation above is equals to 100.
4x(3x+y)=100
Operating
(4x)(3x)+(4x)(y)=100
12x²+4xy=100
Then, subtracting 100 on both sides of the equation.
12x²+4xy-100=100-100
Obtaining
12x²+4xy-100=0
---2+
f(x) =
x
What is the range of the function graphed above?
A.
(-0,0)
B. [0,2-)
C. (-,0]
CD. (0,0)
Answer:
The range of the function is [0 , ∞) ⇒ answer B
Step-by-step explanation:
* lets revise the meaning of the domain and the range
- The domain is the values of x
- The domain is all the values of x which make the function is defined
- If there are some values of x make the function undefined, we
exclude these values from the domain
- The range is the values of f(x) which corresponding to the value of x
* Now lets look to the figure
∵ f(x) = √x
- We can not use the negative values for x because there is no
square root for negative numbers
∴ All real negative numbers make the function undefined
- We must exclude them from the domain
∴ The domain is all real numbers greater than or equal zero
∴ x ≥ 0
- To find the range use the first value of the domain
∵ the first value of x = 0
∴ f(0) = √0 = 0
∵ x can not be negative
∵ f(x) = √x
∴ f(x) can not be negative
∴ the range is all real numbers greater than or equal zero
∴ f(x) ≥ 0
OR
f(x) = [0 , ∞)
* The range of the function is [0 , ∞)
How many solutions does the equation −2y + 2y + 3 = 3 have? One Zero Infinitely many Three
Answer:
Infinitely many solutions.
Step-by-step explanation:
In the equation −2y + 2y + 3 = 3 we see only one variable, and that variable is of the first power. Ordinarily, we'd say that this equation will have 1 solution. However, if we combine like terms, we get 0 + 3 = 3, or 0 = 0, which is true for any and all y values. Infinitely many solutions.
Answer:
Infinitely
Step-by-step explanation:
we have
[tex]-2y+2y+3=3[/tex]
Group terms that contain the same variable
[tex]-2y+2y=3-3[/tex]
Combine like terms
[tex]0=0[/tex] ----> the equation is true for any value of y
therefore
The equation has infinite solutions