Answer: 3 liters 520 milliliters
Step-by-step explanation:
Total liquid amount:
80 ml + 240 ml = 320 milliliters
Total amount for 11 cakes:
320 milliliters × 11 = 3,520 milliliters
Total amount for 11 cakes conversion:
3,520 milliliters ÷ 1,000 = 3 remainder 520 = 3 liters 520 milliliters
someone help a sister out
Estimate 92.49 - 63.854 by first rounding each number to the nearest whole number.
f(5)= 3.14r^{2}
pls help
∠ RQS and ∠ TQS are a linear pair where m∠ RQS = 2x + 4 and m∠ TQS = 6x + 20
1. Solve for x.
2. Find m∠ RQS and m∠ TQS
3. Show how you can check your answer
I want help to understand how to solve the problem because I have others to solve also.,
Answer:
∠RQSangle r q s and ∠TQSangle t q s are supplementary angles, so the sum of the angles should equal 180.
Step-by-step explanation:
The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all entry tickets during the off-peak season. The Sandlers paid a total of $78 for 1 adult ticket and 2 child's tickets to the water park during the off-peak season. 78 = one-half x + (x − 6) What is the regular price of a child's ticket?
Can someone help me with 2-5?
The highest point in Africa is Mount Kilimanjaro in Tanzania, with an altitude of 5895 meters above sea level. The lowest point on the continent is Lake Assal in Djibouti. It is 155 meters below sea level. FInd the difference between the altitudes.
Answer:
6050 meters
Step-by-step explanation:
The difference between the altitudes will be the distance from the highest point of kilimanjaroto the lowest point on lake assai.
This distance will be the distance from the highest point of kilimanjaro to the sea level (5895m) plus the distance from the sea level to the lowest point on lake assai (155m, this distances wont be negative because it is taken as a distance from a point of reference not as a value below 0). Like this:
[tex]5895m+155m=6050m[/tex]
a painter needs to cover a triangular region 60 meters by 68 meters by 71 meters. a can of can cover 70 square meters.. how many cans will be needed??,
To cover the triangular region, the painter will need approximately 29 cans of paint.
Explanation:To find the number of cans needed to cover the triangular region, we first need to calculate the total area of the region. We can do this by using the formula for the area of a triangle: A = (1/2) * base * height. Assuming the 60 meters side is the base, we can use the formula to find the area: A = (1/2) * 60 * 68. The area of the triangular region is 2040 square meters. Since each can covers 70 square meters, we can divide the total area by the area covered by each can: 2040 / 70 = 29.14.
Therefore, the painter will need approximately 29 cans of paint to cover the triangular region.
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Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
Answer:
45 is 75% of 60
Step-by-step explanation:
If we want to know what percentage of 60 is 45, our 100% will be 60.
to find out what percentage is 45 we apply a simple rule of three
[tex]60 \longrightarrow 100\\ 45\longrightarrow x\\ x=\frac{45(100)}{60}= 75[/tex]
Six times a number decreased by 10 is eight
Which best describes the relationship between the successive terms in the sequence shown?
9, –1, –11, –21, …
a)The common difference is –10.
b)The common difference is 10.
c)The common ratio is –9.
d)The common ratio is 9.
I believe i understand it but have to ask it would be the common difference is -10 bevause you would take -1-9 and get -10?,
What’s is the value of the digit 5 in the number 57,634?
5,000
1,000
50,000
10,000
Elliot got some new trading cards.He has 4 packs with 20 cards each. Another pack has only 8 cards which equation show a way to find how much cards Elliot has in all?
A.c=(4×8)+20
B.c=4+20+8
C.c=(4×20)+8
@ganeshie8
Which of the following would appear in the Credits column of a bank statement for a checking account?
A. An online bill payment
B. Interest earned
C. Bank fees
D. An ATM withdrawal
Answer:
Interest earned
Step-by-step explanation:
(APEX)
A segment can have more than one bisector.
True
False
Can someone please explain how to find this answer? thanks
Find the GCF of the monomials 118a^2 and 121b^2.
Which of the following sets of whole numbers represents all the even three-digit numbers with a 6 in the hundreds place and 3 in the tens place? 361; 363; 365; 367; 369 630; 632; 634; 636; 638 360; 633; 635; 637; 639
A) what is the value such that 50% or more of the students studied longer than that value?
a. 2 hours
b. 9 hours
c. 15 hours
d. 18 hours
e. 29 hours
Which of the following polynomials corresponds to the product of the multivariate polynomials 4x - 3y + 5 and x + 2y - -3?
The product of the multivariate polynomials 4x - 3y + 5 and x + 2y - -3 is 4x^2 + 5x + 5xy - 16y^2 + 19y - 27.
Explanation:The product of two multivariate polynomials can be found by multiplying each term in the first polynomial by each term in the second polynomial and then combining like terms. In this case, we have:
(4x - 3y + 5)(x + 2y - -3) = 4x(x + 2y - -3) - 3y(x + 2y - -3) + 5(x + 2y - -3)
Using the distributive property, we can simplify this to:
4x^2 + 8xy - 12x - 3xy - 6y^2 + 9y + 5x + 10y - -15
Combining like terms:
4x^2 + 5x + 5xy - 16y^2 + 19y - 27
Sophie did an anyonymous survey and collected her friends' credit scores. the scores she found are listed in the table below. what is the mean credit score in this group? (round to the nearest whole point, if applicable.) 682 601 744 674 701 790 676 638 773
a. 698
b. 695
c. 676
d. 701
To find the mean of the data, you will combine all values together and then spread them all out evenly to create one value that represents the data.
In math this involves adding the data together and then dividing the sum by how many pieces of data there are.
682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773 = 6279
6279/9 = 697.66...
The rounded credit score is 698 (Choice A).
Using the mean concept, it is found that the mean credit score in this group is given by:
a. 698
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, there are 9 observations, which are:
682 601 744 674 701 790 676 638 773
Hence, the mean is given by:
[tex]M = \frac{682 + 601 + 744 + 674 + 701 + 790 + 676 + 638 + 773}{9} = 698[/tex]
Hence option a is correct.
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PLEASE HELP
8.08, part 2
11. Find an equation in standard form for the hyperbola with vertices at (0, ±6) and foci at (0, ±9).
A) y squared over 45 minus x squared over 36 = 1
B) y squared over 81 minus x squared over 36 = 1
C) y squared over 36 minus x squared over 81 = 1
D) y squared over 36 minus x squared over 45 = 1
12. Find an equation in standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ± 1 divided by 4. x.
A) y squared over 16 minus x squared over 64 = 1
B) y squared over 16 minus x squared over 256 = 1
C) y squared over 256 minus x squared over 16 = 1
D) y squared over 64 minus x squared over 4 = 1
13. Eliminate the parameter.
x = t - 3, y = t2 + 5
A) y = x2 + 6x + 14
B) y = x2 - 14
C) y = x2 - 6x - 14
D) y = x2 + 14
14. Find the rectangular coordinates of the point with the polar coordinates.
ordered pair 3 comma 2 pi divided by 3
A) ordered pair negative 3 divided by 2 comma 3 square root 3 divided by 2
B) ordered pair 3 square root 3 divided by 2 comma negative 3 divided by 2
C) ordered pair negative 3 divided by 2 comma 3 divided by 2
D) ordered pair 3 divided by 2 comma negative 3 divided by 2
15. Find all polar coordinates of point P where P = negative pi divided by 6 .
A) (1, negative pi divided by 6 + (2n + 1)π) or (-1, negative pi divided by 6 + 2nπ)
B) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + 2nπ)
C) (1, negative pi divided by 6 + 2nπ) or (1, pi divided by 6 + (2n + 1)π)
D) (1, negative pi divided by 6 + 2nπ) or (-1, negative pi divided by 6 + (2n + 1)π)
16. Determine two pairs of polar coordinates for the point (4, 4) with 0° ≤ θ < 360°.
A) (4 square root 2 , 135°), (-4 square root 2 , 315°)
B) (4 square root 2 , 45°), (-4 square root 2 , 225°)
C) (4 square root 2 , 315°), (-4 square root 2 , 135°)
D) (4 square root 2 , 225°), (-4 square root 2 , 45°)
17. The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph.
a circular graph with an inner loop on the left
[-5, 5] by [-5, 5] (5 points)
A) r = 3 + 2 cos θ
B) r = 2 + 3 cos θ
C) r = 2 + 2 cos θ
D) r = 4 + cos θ
18. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = -2 + 3 cos θ
A) No symmetry
B) y-axis only
C) x-axis only
D) Origin only
19. A railroad tunnel is shaped like a semiellipse, as shown below.
A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.
The height of the tunnel at the center is 54 ft, and the vertical clearance must be 18 ft at a point 8 ft from the center. Find an equation for the ellipse.
20. Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 2 cos 3θ
Final answer:
To find the equations of the axes, asymptotes, and conjugate hyperbola of a given hyperbola in general form, algebraic manipulation including finding the hyperbola's center, complementing squares for x and y, and determining the asymptote slopes is necessary.
Explanation:
When encountering the equation of a hyperbola in the general form ax² + 2hxy + by² + 2gx + 2fy + c = 0, finding the axes, asymptotes, and equation of the conjugate hyperbola requires a series of steps and some algebraic manipulation. Here's an outline how you would typically approach it:
First, find the center of the hyperbola by solving the system of equations derived from the partial derivatives with respect to x and y set to zero.
Transform the equation by completing the square for both x and y terms to determine the values of the semi-major and semi-minor axes.
To find the slopes of the asymptotes, you'd use the equation derived from the general form by setting the constant term such that only the x and y squared terms remain.
Lastly, the conjugate hyperbola can be determined by changing the signs associated with the squared terms.
As an example, an original hyperbola's equation might look like 8x² + 10xy - 3y² - 2x - 4y - 2 = 0. After required algebraic manipulations, which include centering the hyperbola and finding the orientation of the axes, the equations to the asymptotes are derived by setting the constant term to create the equation 8x² + 10xy - 3y² = 0 and solving for y in terms of x. Meanwhile, the conjugate hyperbola is found by negating the sign of the y squared term in the transformed equation of the original hyperbola.
Determine whether the statement is always, sometimes, or never true. Complete the explanation. In parallelogram MNPQ, the diagonals MP and NQ meet at R with MR = 7 cm and RP = 5 cm. ; diagonals of a parallelogram each other.
In a parallelogram, the diagonals bisect each other, meaning that they divide each other into two equal parts. Therefore, the statement is always true.
Explanation:The statement is always true. In a parallelogram, the diagonals bisect each other, meaning that they divide each other into two equal parts. Therefore, if MR = 7 cm and RP = 5 cm, then NR = 7 cm and RQ = 5 cm. The diagonals MP and NQ meet at point R, so we have MR = NR and RP = RQ, confirming that the statement is always true.
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Alisha has a $15,000 car loan with a 6 percent interest rate that is compounded annually. How much will she have paid at the end of the five-year loan term?
total amount = P (1 + i)t
$19,500.25
$15,900.50
$20,073.50
Answer:
20,073.50
Step-by-step explanation:
i used the formula
The more surface area an ice cube has, the more quickly it melts to cool a beverage. mark states that the ideal ice cube would be a prism that is a perfect cube of dimensions 2 by 2 by 2. denise thinks that the prism should be more flat, with dimensions of 1 by 2 by 4. which rectangular prism gives the greatest surface area, making for a better ice cube?
Answer: D
Step-by-step explanation:
Denise Rectangular prism gives the greatest surface area, making for a better ice cube.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The surface area of a rectangular prism can be calculated by adding up the areas of all six faces.
The surface area of a prism with dimensions l, w, and h is given by:
A = 2lw + 2lh + 2wh
For Mark's prism (2 by 2 by 2), the surface area is:
A = 2(2 × 2) + 2(2 × 2) + 2(2 × 2)= 24
For Denise's prism (1 by 2 by 4), the surface area is:
A = 2 (1 × 2) + 2 (1 × 4)+ 2 (2 × 4)= 28
So both prisms have the different surface area of 24 square units and 28 square units.
Hence, Denise rectangular prism gives the greatest surface area, making for a better ice cube
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PLEASE HELP!!!!!! MEDAL TO RIGHT ANSWER! Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
A rocket is launched from atop a 76-foot cliff with an initial velocity of 135 ft/s.
A.) Substitute the values into the vertical motion formula h=-16t^2+vt+c. Let h=0
B.) Use the quadratic formula find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
1.)0= -16t^2 + 135t + 76; 0.5 s
2.)0= -16t^2 + 135t + 76; 9 s,
the equation Y= -16t2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round your answer to the neares hundreth.
What is the rate and unit rate of 16 dollars for 9 books?
if point P lies on segment AB with endpoints at A(-5,11) and B(1,5) such that AP:PB = 1:1 then p must have coordinates of?
If the ratio is 1:1 then the point must be a mid-point. Then the coordinate of the mid-point P is (–2, 8).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of line, etc.
If point P lies on segment AB with endpoints at A(-5,11) and B(1,5) such that AP:PB = 1:1.
We know that if the ratio is 1:1 then the point must be a mid-point.
Let the coordinate of point P be (x, y)
Then we have
[tex]\rm (x,y) = ( \dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2})\\\\(x,y) = (\dfrac{-5+1}{2}, \dfrac{11+5}{2})\\\\(x,y) = (\dfrac{-4}{2} , \dfrac{16}{2})\\\\(x,y) =(-2, 8)[/tex]
The coordinate of the mid-point P is (–2, 8).
More about the coordinate geometry link is given below.
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2.
How can you tell when a quadratic equation has two identical, rational solutions? (1 point)
when the radicand is negative
when b in the quadratic formula is greater than the radicand
when the radicand equals zero
when the radicand is not a perfect square,