A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed. How many teaspoons are needed for 5 cups of flour?
Why do clouds tend to form around 3:00 pm and 6:00 am
determine the area of a 21ft circle
how to do this 24:96 = 5:?
Lita,Kala, and Rose entered a typing competition. Lita typed 2 times as fast as Kala. The ratio of the number of words Kala typed to the number of words Rose typed was 4:1. If Rose typed 48 words, how many words did Lita type?
The prism is completely filled with 1750 cubes that have edge length of 1/5 feet. What is the volume of the prism,
EXPERTS/ACE/GENIUSES
Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =
The vector equation for the line segment joining the points p(1, -1, 7) and q(7, 6, 1) is r(t) = <1+6t, -1+7t, 7-6t> and the corresponding parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.
Explanation:To find the vector and parametric equations for the line segment joining two points p(1, -1, 7) and q(7, 6, 1), we first need to understand that the vector equation for a line segment in space is given by r(t) = p + t (q - p), where 0 ≤ t ≤ 1, and p and q are the coordinates of the points. The parametric equations are obtained by expressing the x, y, and z coordinates of r(t) as individual functions of t.
Substituting the given points into the vector equation we get: r(t) = <1+6t, -1+7t, 7-6t>. Then, the corresponding parametric equations will be x(t) = 1 + 6t, y(t) = -1 + 7t, and z(t) = 7 - 6t.
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What is 3^2/3 equal to? A.3√9 B.2√9 C.3√27 D.2√27
6 Bands were going to play at a concert. How many ways can the concert manager send them on stage?
A square playground has an area of 175 m2. What is the approximate length of each side of the playground? Round your answer to the nearest meter
If the area of a square playground is 175 [tex]m^{2}[/tex] then the approximate length is 13 meters.
What is square?A square is a two dimensional figure having four vertices, four edges, four angles and all the sides are equal to each other. The perimeter is equal is equal to 4*side and the area is side*side.
How to find side of square?We have been given the area of the square playground equal to 175 meter square. We know that the area of a square is side*side means [tex]side^{2}[/tex].
Put the value of 175 equal to side square and we will get the value of slide.
Area =[tex]side^{2}[/tex]
175=[tex]side^{2}[/tex]
side=[tex]\sqrt{175}[/tex]
Side=13.22m
If we round to nearest meter then it will be equal to 13m.
Hence if the area of a square playground is 175 meter square then the side will be equal to 13m.
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A prism with a base area of 3m^2 and a height of 4m^2 is dilated by a factor of 3/2 what is the volume of the dilated prism
3^2•3^n simplifies to 3^20 what is the value of the exponent n?
At noon, ship a is 60 km west of ship
b. ship a is sailing south at 15 km/h and ship b is sailing north at 5 km/h. how fast is the distance between the ships changing at 4:00 pm?
The two ships are sailing in opposite sides, Hence, the resultant speed is given by 15+5 = 20 km/hr.
Therefore, from the below triangle, we have
[tex]\frac{dx}{dt} = 20 \text{ km/hr}[/tex]
Let the distance between the ships is y. On applying Pythagorous theorem, we have
[tex]y^2=x^2+60^2\\ \text{On differentiating, we get}\\ 2y\frac{dy}{dt} =2x\frac{dx}{dt}\\\frac{dy}{dt}= \frac{x}{y} \frac{dx}{dt}[/tex]
On substituting the value of y as [tex]y=\sqrt{60^2+x^2}[/tex]
[tex]\frac{dy}{dt} =\frac{x}{\sqrt{60^2+x^2}} \frac{dx}{dt}[/tex]
Since, the at noon the ship is 60 km to each other. Hence, for 4 PM, i.e. t=4, we have
[tex]x=4 \times \frac{dx}{dt} \\ x= 4 \times 20 \\x=80[/tex]
On substituting the value in above, we get
[tex]\frac{dy}{dt} =\frac{80}{\sqrt{60^2+80^2}} (20[/tex]
[tex]\frac{dy}{dt} = 16.0 \text{ km/hr}[/tex]
Therefore, the distance between the ships changing at a rate of 16 km/hr at 4:00 pm
find the product 3012 and 4
The region r is bounded by the parabola y = x2 and the line y = 4. set up definite integrals to find the moment mx of r about the x-axis and the area a of the region r. then find (x, y )
Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
and are similar. Find the value of x. A. 5 B. 15 C. 60 D. 240
can someone please help me with this equation? thank you.
Please help me with this question
A slice is made perpendicular to the base of a right rectangular prism as shown.
What is the area of the resulting two-dimensional cross section?
Drag and drop the answer into the box.
mm²
48
28
84
144
16
Answer:
The correct option is 1. The area of cross section area is 48 mm².
Step-by-step explanation:
From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.
The area of a rectangle is the product of its dimensions.
[tex]A=l\times w[/tex]
Where, l is length of the rectangle and w is width of the rectangle.
The area of cross section is
[tex]A=4\times 12[/tex]
[tex]A=48[/tex]
Therefore the area of cross section area is 48 mm². Option 1 is correct.
A math test took 50 minutes to complete. The test ended at 3:55. What time did the test begin?
A math test ended at 3:55 and it took 50 minutes to complete. What time did the math test start?
The math test started at 3:05.
If we know that the math test ended at 3:55 and lasted 50 minutes, we can subtract 50 minutes from 3:55 and we will get an answer of 3:05.
Therefore, the math test started at 3:05.
53b−7b−6b+1 if b=25
Please help me with this problem! And what is the simplified expression?
Answer: 1001
B/c i said so
how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% compounded quarterly
Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 3x + 18 is divided by (x + 2).
The quotient Q(x) is found to be x² - 4x - 11 and the remainder R is 4.
The question involves using synthetic division to find the quotient Q(x) and the remainder R when the polynomial P(x) = x³ − 2x² − 3x + 18 is divided by (x + 2).
To perform synthetic division, we first write down the coefficients of P(x): 1, -2, -3, and 18. The divisor is (x + 2), so we use -2 for the synthetic division.
Write the coefficients of P(x): 1, -2, -3, 18.
Write the root of the divisor (x + 2) = -2 on the left side of the synthetic division setup.
Bring down the first coefficient (1).
Multiply -2 by 1, place the result (-2) under the second coefficient (-2), and add the two numbers yielding -4.
Repeat the multiplication and addition process for the rest of the coefficients.
The results of the synthetic division process give us the coefficients of the quotient Q(x) and the remainder R.
In performing the synthetic division, we find that the quotient Q(x) is x² - 4x - 11 and the remainder is R = 4.
Alicia buys a 5 pound bag of rocks for fish tank. She uses 1 1/8 pounds for a small fish bowl. How much is left
A geometric sequence is shown below : 2/3,2,6,18.. write the explicit formula
a parallelogram has an area of 108 square inches. The base of the parallelogram is 18 inches. Explain how you could find the height of the parallelogram, then find the height. Show your work.
Answer:
Height=6in
Step-by-step explanation:
Took test and got it correct
simplify the complex fraction
plz help ill give u branlist