Answer: 280 for number 2
Step-by-step explanation: I think I ain’t not % sure
There are 24 hours in 1 day. If you sleep 30% percent of the day how many hours do you sleep
Step-by-step explanation:
30%of24
30÷100×24
7.2
What is another name for plane z?
Answer:
If your doing the worksheet I think you are doing then plane z is XTV, XVL, or LTV.
Step-by-step explanation:
Hi! I am really struggling with this and I need help. I did it multiple times and kept getting 290cm^2. DO NOT JUST GIVE ME AN ANSWER, PLEASE EXPLAIN SO I KNOW FOR THE FUTURE!! THANK YOU!
Answer:
I think the answer is 255cm squared
Step-by-step explanation:
If you look at the shape it has 2 shapes. A rectangle and a triangle.
17-10 to get the height of the triangle = 7
22-12 to get the base of the triangle = 10
The area to find a triangle is 1/2 * b * h
= (7 *10) / 2
= 35
To find the rectangle =
22 * 10
= 220
To find the area of the whole thing =
35 (triangle) + 220 (rectangle) = 255cm squared
Answer:
255 cm^
Step-by-step explanation:
If you cut your shape into a triangle and rectangle...or a trapezoid and a rectangle, then add the areas together.
Area of a rectangle is just length × width.
Area of a triangle is:
A = 1/2bh
Area of a trapezoid is:
A = 1/2(b1 + b2)
see image to see two different ways to cut the whole shape into two pieces. Then we calculate the total by adding the areas of the parts.
see image.
90% of what number is 135?
Answer:
150
Step-by-step explanation:
90% can be rewritten as 9/10.
We can represent the original number as the variable x and construct an equation that models the given situation.
\(\dfrac{9}{10} \cdot x = 135\)
Then, we can solve the equation for x by multiplying both sides by the reciprocal of 9/10, which is 10/9.
\(\dfrac{10}{9}\left(\dfrac{9}{10} \cdot x\right) = (135)\left(\dfrac{10}{9}\right)\)
\(x = 10 \cdot \dfrac{135}{9}\)
\(x = 10\cdot 15\)
\(x = 150\)
PLS HELPPP
Simplify the expression by combining 1 point
like terms:
4x + 7y + 9x + 7 + 3x – 5
Answer:
16 x + 7 y + 2
Step-by-step explanation:
Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the
bird reaches Bob, it turns around immediately and starts flying toward Alice at the same
speed, turning around immediately when it reaches Alice, and repeating this procedure until
Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the
bird has flown, in feet?
The distance the bird has flown by the time Alice and Bob meet is 40 feet.
What is the distance?Distance is a measurement of time and speed.
The distance equals speed multiplied by time.
Data and Calculations:Distance between Alice and Bob = 1,000 feet
Distance between the bird and Bob = 1,000 feet
Speed of Alice and Bob = 10 feet per second, respectively
The combined speed of Alice and Bob = 20 feet per second
Since the two are running directly toward each other, the distance each will cover at the meeting point is 50 feet (1,000/20)
The time covered at the meeting point = 20 seconds (1,000/50)
Speed of the bird = 20 feet per second
The distance covered by the bird towards Bob at their meeting point is 40 feet (20 feet x 20 seconds)
Thus, the total distance covered by the bird at the meeting point is 40 feet.
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State the property that justifies each statement. If y+7=5 , then y=-2 .
The Addition Property of Equality and subtracting 7 from both sides, we obtain the solution y = -2.
The property that justifies the statement "If y+7=5, then y=-2" is the Addition Property of Equality. According to this property, if you add the same value to both sides of an equation, the equality is preserved.
In the given equation, y+7=5, we want to isolate the variable y. To do so, we can subtract 7 from both sides of the equation:
y+7-7 = 5-7
This simplifies to:
y = -2
So, by applying the Addition Property of Equality and subtracting 7 from both sides, we obtain the solution y = -2.
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Encuentra el perímetro de la circunferencia cuyo diámetro es de 6 cm
Answer:
Circumference = 2*pi*r
Diameter = 6 cm
Radius = 3 cm
Circumference = 2*22/7*3
= 18.85 cm.....
Step-by-step explanation:
Hope this helps you....
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what is the volume of the sphere?
What value of x will make a0nm similar to ASRQ by the SAS similarity theorem?.
The value of x is 25 will make ΔONM similar to ΔSRQ by the SAS similarity theorem.
Given:
∠ONM is similar to ∠SRQ
From the figure
NM = 10
SR = 20
NO = 8
QR = x
SAS Similarity Theorem:
if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Both the triangles are similar by SAS if
NO/NM = SR/QR
Now substitute the values
8/10 = 20/x
cross multiplication
8x = 200
dividing both sides by 8
x = 25
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Solve the following system of equations algebraically:
y=x^2-3x+10
y=x+10
arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence
626828282828288w8282
PLEASE ANSWER THIS ASAP !!!!
Answer:
6
Step-by-step explanation:
y2-y1 divided by x2-x1 (grad formula)
Sixty-four is the product of eight and the sum of a number and six.
Answer:
64 is the sum of the numbers
58 + 6 = 64
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The number of fish in the lake can be modeled by exponential regression equation y equals 14.08 * 2.08 X where X represents the year which is the best prediction for the number of fish in your 6 round your answer to the nearest whole number
Answer:
1140
Step-by-step explanation:
The best prediction for the number of fish in year 6 is 1517.
What is regression?Regression is a statistical method used to analyze the relationship between two or more variables.
It helps to identify and quantify the relationship between the dependent variable (also called the response variable) and one or more independent variables (also called the explanatory variables or predictors).
We have,
To find the best prediction for the number of fish in year 6, we need to substitute x = 6 into the exponential regression equation:
So,
y = 14.08 x \(2.08^x\)
y = 14.08 x \(2.08^6\)
y = 14.08 x 107.6176
y = 1516.672768
Rounding to the nearest whole number, the best prediction for the number of fish in year 6 is 1517.
Thus,
The best prediction for the number of fish in year 6 is 1517.
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The height of the larger parallelogram, STRE, is 64. If the two parallelograms are similar, and the scale factor is 16, what is the height of parallelogram ANDK?
Answer:
The answer is 4
Step-by-step explanation:
I did the test
Answer: answer is 4 :)
Step-by-step explanation:
18m + –5m + 8m + 6 = –15
solve for m
Answer: M= -1
Step-by-step explanation:
18m + -5m + 8m= -21 (combine like terms)
21m= -21 (bring the positive 21 over to the other side by dividing)
m = -1
Point M divides line segment AB, in the direction from A to B, in a ratio of 5 to 3. What value on the number line would indicate the location of point M? A = --6, B = 3
Answer:
The coordinates of point M is -0.375.
Step-by-step explanation:
Given that point A = -6 and point B = 3
Point M divides line segment AB in the direction from A to B in the ratio of 5 to 3 we have;
Length from A to M = 5/(5 + 3) × Length of segment AB
Given that length of segment AB = 3 - (-6) = 3 + 6 = 9, we have;
Length from A to M = 5/8 × 9 = 45/8 = \(5\frac{5}{8}\) = 5.625
Therefore, the coordinates of M = -6 + 5.625 = -0.375 = -3/8
The coordinates of point M = -0.375.
What is the slope of a line if x equals (-2 and y equals 4?
Answer:
can't be determined unless you give two points which is two sets of x and y points
Which equation represents the following word problem?
A school sells pencils to students for 25 cents each. If a student has $9, how many pencils can the student buy?
p – .25 = 9
p.25=9{version 1.1 math \frac{p}{.25} = 9"}
p + .25 = 9
(.25)p = 9
Answer:
its the last one
Step-by-step explanation:
The equation that represents the number of pencils a student with $9 can buy is (.25)p = 9.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A school sells pencils to students for 25 cents each.
We know 25 cents is equal to $0.25.
Let, The number of pencils be 'p'.
Therefore, The equation which represents the number of pencils a student can buy if he has $9 is,
0.25p = 9.
(.25)p = 9.
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An experiment consists of randomly drawing a cube from a bag containing three red and two blue cubes.
2. List the probability of each outcome in the sample space.
3.
Is the probability of selecting a red cube equal to the probability of selecting a blue cube? Explain.
Answer: 2)The probability of drawing a red cube is 3/5 and the probability of drawing a blue cube us 2/5.
3) No the probability of selecting a red cube is not equal to probability of selecting a blue cube because the outcomes 3/5 and 2/5 are not equal.
Step-by-step explanation:
The probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required event / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The sample space of this experiment consists of the possible outcomes of randomly drawing a cube from the bag.
There are two possible outcomes: either a red cube is drawn or a blue cube is drawn.
So, the probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
This is because there are more red cubes in the bag than blue cubes, so the probability of drawing a red cube is higher than the probability of drawing a blue cube.
Specifically, the probability of drawing a red cube is 3/5, which is greater than the probability of drawing a blue cube, which is 2/5.
Thus,
The probability of each outcome in the sample space is:
Probability of drawing a red cube = 3/5
Probability of drawing a blue cube = 2/5
No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.
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a cookie company uses one cup of sugar for every 35 cookies it makes. Let S represent the total number of cups of sugar used, and let N represent the number of cookies made. Write an equation relating S to N.
A Proportional relationship between the two variables .The equation relating the total cups of sugar used (S) to the number of cookies made (N) is N = 35S. This equation states that the number of cookies made (N) is equal to 35 times the total cups of sugar used (S).
An equation relating the total cups of sugar used (S) to the number of cookies made (N), we can establish a proportional relationship between the two variables based on the given information.
The cookie company uses one cup of sugar for every 35 cookies it makes. This means that the ratio of cups of sugar to cookies is constant. To express this relationship, we can set up a proportion:
1 cup of sugar / 35 cookies = S cups of sugar / N cookies
We can cross-multiply to obtain the equation:
1 * N = 35 * S
Simplifying further:
N = 35S
Therefore, the equation relating the total cups of sugar used (S) to the number of cookies made (N) is N = 35S. This equation states that the number of cookies made (N) is equal to 35 times the total cups of sugar used (S).
This equation allows us to determine the relationship between the cups of sugar and the number of cookies made. For example, if we know the value of N (the number of cookies made), we can solve for S (the total cups of sugar used) by dividing N by 35. Alternatively, if we know the value of S, we can find N by multiplying S by 35.
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2x^3y + 18xy - 10x^2y - 90y
Part A: rewrite the expression so that the GCF is factored completely
Part B: rewrite the expression completely factored. Show the steps of your work
___________________________
Part A: the area of a square is (9x^2 + 24x + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.
Part B: the area of a rectangle is (16x^2 - 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
___________________________
f(x) = 2x^2 - 5x + 3
Part A: what are the x-intercepts of the graph of f(x)? Show your work
Part B: is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answer and show your work.
Part C: what are the steps you would use to graph f(x)? Justify that you can use the answer in part A and part B to draw the graph.
The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
The expression completely factored in is
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
Please refer below for the remaining answers.
We have,
Part A:
To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.
GCF: 2y
\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
Part B:
To completely factor the expression, we can further factor the quadratic term.
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
Now,
Part A:
To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.
The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².
Therefore, the length of each side of the square is 3x + 4.
Part B:
To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.
The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).
Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).
Now,
f(x) = 2x² - 5x + 3
Part A:
To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x² - 5x + 3 = 0
The quadratic equation can be factored as (2x - 1)(x - 3) = 0.
Setting each factor equal to zero:
2x - 1 = 0 --> x = 1/2
x - 3 = 0 --> x = 3
Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.
Part B:
To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.
The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.
To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.
For f(x),
a = 2 and b = -5.
x = -(-5) / (2 x 2) = 5/4
To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):
f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8
Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.
Part C:
To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.
These points represent where the graph intersects the x-axis.
Next,
We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.
Since the coefficient of the x² term is positive, the parabola opens upward.
We can use the vertex and the symmetry of the parabola to draw the rest of the graph.
The parabola will be symmetric with respect to the line x = 5/4.
We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.
By connecting the plotted points, we can draw the graph of f(x).
The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.
The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.
Thus,
The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)
The expression completely factored in is
\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)
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1. state whether each measurement is an area or a perimeter
A) the distance around a school track
B) the amount of paper needed to wrap a gift
C) the length of the boards needed to go around a skating rink
Answer:
A) perimeter
B) (surface) area
C) perimeter
Evaluate the line integral ∫CF⋅d r where F=〈2sinx,−2cosy,xz〉 and C is the path given by r(t)=(−2t^3,2t^2,−2t) for 0≤t≤1
∫CF⋅d r= ?
Evaluate the line integral ∫CF⋅dr, where F(x,y,z) = −xi−4yj+4zk and C is given by the vector function r(t)=〈sint,cost,t〉, 0≤t≤3π/2?
Sketch the vector field F→(x,y)=−3i−5j and calculate the line integral of F along the line segment from (5,2) to (−2,4)?
The line integral ∫CF⋅dr of the vector field F and path C is evaluated using the formula for line integrals, dot product, and integration. The results are -32/5, 5 and 2.376 approximately, respectively.
we have F=〈2sinx,−2cosy,xz〉 and C is given by r(t)=(−2t^3,2t^2,−2t) for 0≤t≤1. We can compute the line integral using the formula
∫CF⋅d r= ∫0^1 F(r(t))⋅r'(t) dt
Plugging in F and r'(t), we get:
∫CF⋅d r= ∫0^1 〈4t^3sin(-8t^3), -4t^2cos(4t^2), -4t^4〉⋅〈-6t^2, 4t, -2〉 dt
Evaluating this integral, we get:
∫CF⋅d r= -32/5
For the second problem, we have F(x,y,z) = −xi−4yj+4zk and C is given by the vector function r(t)=〈sint,cost,t〉, 0≤t≤3π/2. We can compute the line integral using the formula
∫CF⋅d r= ∫0^(3π/2) F(r(t))⋅r'(t) dt
Plugging in F and r'(t), we get
∫CF⋅d r= ∫0^(3π/2) 〈-sint, -4cost, 4t〉⋅〈cost, -sint, 1〉 dt
Evaluating this integral, we get
∫CF⋅d r= 5
we have F→(x,y)=−3i−5j and the line segment from (5,2) to (−2,4). We can compute the line integral using the formula
∫CF⋅d r= ∫F(r(t))⋅r'(t) dt
where r(t) is the parameterization of the line segment. We can find the parameterization as
r(t) = (1-t)(5,2) + t(-2,4) = (7-7t, 2+2t)
Plugging in F and r'(t), we get
∫CF⋅d r= ∫0^1 〈-3,-5〉⋅〈-7, 2〉 dt
Evaluating this integral, we get
∫CF⋅d r= 29
Using the formula for a line integral, we have
∫CF⋅d r = ∫0^1 F(r(t)) ⋅ r'(t) dt
where r'(t) = 〈−6t^2, 4t^2, −2〉.
Substituting in F and r(t), we get
∫CF⋅d r = ∫0^1 〈2sin(−2t^3), −2cos(2t^2), −4t^4〉 ⋅ 〈−6t^2, 4t^2, −2〉 dt
Simplifying the dot product and integrating, we get
∫CF⋅d r = ∫0^1 [−12t^2 sin(−2t^3) + 8t^2 cos(2t^2) + 8t^4] dt
Using substitution u = −2t^3 and v = 2t^2, we get
∫CF⋅d r = ∫0^2 [sin(u)du − cos(v)dv + 2v^2] / 3
Evaluating the integral, we get
∫CF⋅d r = [cos(2) − cos(0) + sin(0) + sin(8)] / 3 + 16/15
Therefore, the line integral is approximately 2.376.
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Which of the following is a zero of the polynomial x3 6x2 11x 6?
The required value zeros of the given polynomial are given as -1, -2, and -3.
What are the zeros of the polynomial?Zeros of the polynomial function are the values of the dependent variable, when putting that value in the expression, the expressions explicitly give zero.
Here,
Let the given expression is equal to zero,
x³+ 6x²+ 11x+ 6 = 0
Factorization of the above expression gives.
(x + 1)(x + 2)(x+3) = 0
Now, for the zeros,
x + 1 = 0; x +2 = 0; x + 3 = 0
x = -1 ; x = -2 ; x = -3
Thus, the zeros of the given expression's zeros are -1, -2, and -3.
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The correct answer for this is x= -1, x = -2 and x =-3
which value makes the equation 10x/2=15 true
[ give thanks and rate 5stars if this helps u po! welcome! ]
Step-by-step explanation:
To solve the equation 10x/2 = 15, we can simplify the left-hand side first by dividing 10x by 2, which gives us 5x. So the equation becomes:
5x = 15
To isolate x, we can divide both sides by 5:
x = 3
Therefore, the value that makes the equation true is x = 3.
Answer:X=
Step-by-step explanation:
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
the axis of symmetry is x=2
For a recent paint job, Josh mixed red and white paint to make two different shades of pink. When the job was done, Josh ended up with leftover paint: 5 gallons of dark pink paint (80% red) and 4 gallons of light pink paint (30% red). Josh wants to make a medium pink color (50% red) to paint his daughter's bedroom. He will need 3 gallons to completely cover the walls. How much of each of the leftover paints should Josh mix to achieve his desired color?
? gallons of dark pink paint
? gallons of light pink paint
Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.
Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.
The total amount of paint needed is 3 gallons, so we have the equation:
x + y = 3
The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:
(80/100)x + (30/100)y = (50/100)(x + y)
Simplifying this equation, we get:
0.8x + 0.3y = 0.5(x + y)
Now, we can solve this system of equations to find the values of x and y.
Let's multiply both sides of the first equation by 0.3 to eliminate decimals:
0.3x + 0.3y = 0.3(3)
0.3x + 0.3y = 0.9
Now we can subtract the second equation from this equation:
(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)
-0.5x = 0.9 - 0.5x - 0.5y
Simplifying further, we have:
-0.5x = 0.9 - 0.5x - 0.5y
Now, rearrange the equation to isolate y:
0.5x - 0.5y = 0.9 - 0.5x
Next, divide through by -0.5:
x - y = -1.8 + x
Canceling out the x terms, we get:
-y = -1.8
Finally, solve for y:
y = 1.8
Substitute this value of y back into the first equation to solve for x:
x + 1.8 = 3
x = 3 - 1.8
x = 1.2
Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.
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PLEASE HELP!! ASAP 10 POINTS
Simplify negative 9/6 divided by 3 over negative 2.
a.3 b.1 c.−1 d.−3
Answer:
(b)
Step-by-step explanation:
(-9/6) / (-3/2)
keep the first fraction, change division to multiplication, then flip the second fraction
-9/6 x 2/-3
multiply the numerators by each other and do the same with the denominators
-9x2 / 6x-3
-18 / -18
simplify
answer = 1 (negative divided by negative will always equal a positive)
Answer:
b or 1
Step-by-step explanation:
took the test