Answers
Answer:
(C)plane VWS and plane RQU.
Explanation:
Consider Rectangle RQUV and RVWS.
They share a common edge which is VR.
Therefore, the planes that intersect in VR are plane VWS and plane RQU.
The correct choice is C.
Related Questions
You can only use cross multiplication in solving rational equation if and only if you have one fraction equal to one fraction, that is, if the fractions are _______
Answers
Answer:
Proportional
Explanation:
Below is the graph of a trigonometric function. It intersects its midline at (-1.7, -10) and again at(5.1, -10). What is the period
Answers
you can get the Period graphically if you see the points A and B are the upper points of the graph. if you subtract them you get the period
in this case, let me see
Here they give you the points where the graph cross the midline, if you see, that is half of the period, so
Period= 2* (5,1-(-1,7))= 13,6
You have to subtract the points to know the distance between that points, and the graph is
when you subtract the points, you are getting the distance between (for example) the green point on my draw
And the period is the time it takes for one complete oscillation, after this, it repeats over and over
So between 3 of these green points we have a period
to know the value, we need to know the distance between them (in this case (5,1-(-1,7))= 6,8
each square have 1 period on it, and the value is 2 times the distance between the green points
Answer:
Period= 2* (5,1-(-1,7))= 13,6
micah runs a lemonade stand.He sells large cups of lemonade for$0.50 and small cups of lemonade for$0.35.Create an expression represents how much money he could earn
Answers
Answer:
The expression for the amount of money in dollars he could earn is;
[tex]0.50x+0.35y[/tex]Explanation:
Let x represent the number of cups of large cups of lemonade he sell and
y represent the number of cups of the small cups of lemonade he sell.
Given that;
He sells large cups of lemonade for $0.50
and small cups of lemonade for $0.35.
The amount he will male by selling x cups of large cups of lemonade and y cups of small cups of lemonade is;
[tex]0.50x+0.35y[/tex]The expression for the amount of money in dollars he could earn is;
[tex]0.50x+0.35y[/tex]Answer:
the dude above me is wrong this is the right answer 0.85(l + s)
Step-by-step explanation:
1. BC = 16 ft2. PQ = 22 cm139RS1с3. JK = 3 mm4. GH = 13 ydGK126845. YZ = 9 in6. EF = 28 mEF11542ZCG
Answers
Let's begin by listing out the given information:
The area of a sector is calculated using the formula:
1.
[tex]\begin{gathered} Area=\frac{\theta}{360^{\circ}}\times\pi r^2 \\ \theta=51^{\circ} \\ r=BC=16ft \\ \pi=3.14 \\ Area=\frac{51^{\circ}}{360^{\circ}}\times3.14\times16^2 \\ Area=113.88\approx114 \\ Area=114ft^2 \end{gathered}[/tex]Use the quadratic formula to solve for X.3x2 + 4x = 9Round your answer(s) to the nearest hundredth.Select all that apply.O x= 2.52x = 1.19x = -2.52x= -1.18O x = -20.00x = 20.00
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a = 3, b = 4, c = -9
[tex]x\text{ = }\frac{4\pm\text{ }\sqrt[]{4^2-4(3\times-9)}}{2\times3}[/tex][tex]x_1=2.52[/tex][tex]x_2\text{ = -1.1}8[/tex]Simplify 4.3 1/2 x 2 1/2
Answers
Start by making the mixed numbers as fractions
[tex]\begin{gathered} 3\frac{1}{2}=\frac{3\cdot2+1}{2}=\frac{7}{2} \\ 2\frac{1}{2}=\frac{2\cdot2+1}{2}=\frac{5}{2} \end{gathered}[/tex]then, find the product between them
[tex]\frac{7}{2}\times\frac{5}{2}=\frac{35}{4}[/tex]write the fraction as a mixed number
[tex]\frac{35}{4}=8\frac{3}{4}[/tex]Which function has the following domain and range? Domain: {-7,-3,0,4,12}Range: {-5,1,2}
Answers
The domain of a function is the values that x can assume, while the range is the values that the function assume.
So, we are looking for the function with points that have x equal to -7, -3, 0, 4 and 12 and y values equal to -5, 1 and 2.
"A" only has x equal to -7 and and -5, and y equal to 12 and 2.
"B" has an x value of -4, which can't exist if the domain is the wanted one.
"D" has x value of -5, which eliminates the alternative for the same reason.
"C" is the correct answer because have all the x and y values and no other than x = {-7, -3, 0, 4, 12} and y = {-5, 1, 2}.
So "C" is the corect answer.
Find the angle between the vectors u = i – 9j and v = 8i + 5j.
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Answer:
[tex]\theta\text{ = 115.67}\degree[/tex]Explanation:
Here, we want to find the angle between the two vectors
Mathematically, we have that as:
[tex]cos\text{ }\theta\text{ = }\frac{a.b}{|a||b|}[/tex]The denominator represents the magnitude of each of the given vectors as a product while the numerator represents the dot product of the two vectors
We have the calculation as follows:
[tex]\begin{gathered} cos\text{ }\theta\text{ = }\frac{(1\times8)+(-9\times5)}{\sqrt{1^2+(-9)\placeholder{⬚}^2}\text{ }\times\sqrt{8^2+5^2}} \\ \\ cos\text{ }\theta\text{ = }\frac{8-45}{\sqrt{82}\text{ }\times\sqrt{89}} \\ \\ \end{gathered}[/tex][tex]\begin{gathered} cos\text{ }\theta\text{ = }\frac{-37}{\sqrt{82}\text{ }\times\sqrt{89}} \\ cos\text{ }\theta\text{ = -0.4331} \\ \theta\text{ = }\cos^{-1}(-0.4331) \\ \theta\text{ = 115.67}\degree \end{gathered}[/tex]The ratio of the cat's weight to the rabbit's weight is 7 to 4. Together, they weigh 22 pounds. How much does the rabbit weigh?
Answers
cat's weight: rabbit's weight
7:4
[tex]undefined[/tex]3) = A store sells rope by the meter. The equation p = 0.8L represents the price p (in dollars) of a piece of nylon rope that is L meters long. a. How much does the nylon rope cost per meter? b. How long is a piece of nylon rope that costs $1.00?
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(a) Since the equation is:
[tex]p=0.8L[/tex]And "L" is in meters, the cos per meter will be simply the slope of the line. Alternatively, we can just input L = 1 and check the corresponding cost:
[tex]\begin{gathered} p=0.8\cdot1 \\ p=0.8 \end{gathered}[/tex]So, the cost is $0.80 per meter.
(b) Now, we have to the the contrary, we input 1 input "p" and calculate "L":
[tex]\begin{gathered} p=0.8L \\ 1=0.8L \\ L=\frac{1}{0.8} \\ L=1.25 \end{gathered}[/tex]So, it will be 1.25 meters long.
What is the probability that the person has no high school diploma and earns more than $30,000?
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If x varies directly with y and x=6 when y=8, find x when y=18.Options:13.5122412.5
Answers
Given:
x varies directly with y, and x=6 when y=8
Required:
We need to find the value of x when y =18.
Explanation:
if x varies directly as y the equation of variation is expressed as follows.
[tex]y=kx[/tex]Substitute x =6 and y =8 in the equation to find teh value of k.
[tex]8=k(6)[/tex]Divide both sides by 6.
[tex]\frac{8}{6}=\frac{k(6)}{6}[/tex][tex]\frac{4}{3}=k[/tex]We get k =4/3.
The equation is
[tex]y=\frac{4}{3}x[/tex]Substitute y =18 in the equation to find the value of x.
[tex]18=\frac{4}{3}x[/tex]Divide both sides by 3/4.
[tex]18\times\frac{3}{4}=\frac{4}{3}x\times\frac{3}{4}[/tex][tex]13.5=x[/tex]We get x =13.5
Final answer:
[tex]x=13.5\text{ when y =18.}[/tex]
find the circumference to the nearest whole number the whole number is 14
Answers
Answer:
The circumference is 88 in
Explanation:
The circumference of a circle can be determined, using the formula:
[tex]C=2\pi r[/tex]Where r is the radius of the circle.
Given a radius of 14 in, then
[tex]\begin{gathered} C=2(14)\pi \\ =28\pi \\ =28\times3.14 \\ =87.92 \\ \approx88in \end{gathered}[/tex]Can you please help me and I have more questions
Answers
As given that P as profit and m as amount of money and h as hours:
[tex]P=m-(250+4h)[/tex]The equation to calculate the amount of money m when profit is $415:
Put the the value of P as 415 in given equation:
[tex]\begin{gathered} 415=m-(250+4h) \\ 415=m-250-4h \\ 415+250+4h=m \\ m=665+4h \end{gathered}[/tex]So the desired equation for calculate amount of money m is:
[tex]m=665+4h[/tex]triangle A B C is translated 6 units to the left and 1 unit up to create A'B'C'.
Answers
The correct answer is 6.1 square units.
The translation of triangle ABC to triangle A'B'C' will not change the dimensions of the original triangle.
Hence, the area of triangle ABC will not be affected by the translation.
[tex]\begin{gathered} \text{Area of }\Delta ABC=\frac{1}{2}bh \\ \text{where b=2, h=6.1} \\ \text{Area of}\Delta ABC=\frac{1}{2}\times2\times6.1 \\ \text{ = 6.1 square units} \end{gathered}[/tex]Hence, the correct answer is 6.1 square units
Let f(x) = x2 - 9a and g(a) = 3 - x?.(f+g)(7) =- (f - 9)(7) =.· (f9)(7) =• (4) (7) -
Answers
Given the functions:
[tex]f(x)=x^2-9x[/tex][tex]g(x)=3-x^2[/tex]1) (f+g)(x) You have to calculate the sum between f(x) and g(x) for x=7
First, calculate the sum between both functions:
[tex]\begin{gathered} (f+g)=(x^2-9x)+(3-x^2) \\ (f+g)=x^2-9x+3-x^2 \end{gathered}[/tex]Order the like terms together and simplify:
[tex]\begin{gathered} (f+g)=x^2-x^2-9x+3 \\ (f+g)=-9x+3 \end{gathered}[/tex]Substitute the expression with x=7 and solve:
[tex]\begin{gathered} (f+g)(7)=-9x+3 \\ (f+g)(7)=-9\cdot7+3 \\ (f+g)(7)=-60 \end{gathered}[/tex]The result is (f+g)(7)= -60
2) (f-g)(7) You have to calculate the difference between f(x) and g(x) for x=7
First, calculate the difference between both functions:
[tex](f-g)=(x^2-9x)-(3-x^2)[/tex]First, erase the parentheses, the minus sign before (3-x²) indicates that you have to change the sign of both terms inside the parentheses, as if they were multiplied by -1, then:
[tex](f-g)=x^2-9x-3+x^2[/tex]Order the like terms and simplify:
[tex]\begin{gathered} (f-g)=x^2+x^2-9x-3 \\ (f-g)=2x^2-9x-3 \end{gathered}[/tex]Substitute the expression with x=7 and solve:
[tex]\begin{gathered} (f-g)(7)=2x^2-9x+3 \\ (f-g)(7)=2(7)^2-9\cdot7+3 \\ (f-g)(7)=2\cdot49-63-3 \\ (f-g)(7)=98-66 \\ (f-g)(7)=32 \end{gathered}[/tex]The result is (f-g)(7)= 32
3) (fg)(7) In this item you have to calculate the product of f(x) and g(x) for x=7
First, determine the product between both functions:
[tex](fg)=(x^2-9x)(3-x^2)[/tex]Multiply each term of the first parentheses with each term of the second parentheses:
[tex]\begin{gathered} (fg)=x^2\cdot3+x^2\cdot(-x^2)-9x\cdot3-9x\cdot(-x^2) \\ (fg)=3x^2-x^4-27x+9x^3 \\ (fg)=-x^4+9x^3+3x^2-27x \end{gathered}[/tex]Substitute with x=7 and solve:
[tex]\begin{gathered} (fg)(7)=-(7^4)+9\cdot(7^3)+3\cdot(7^2)-27\cdot7 \\ (fg)(7)=-2401+9\cdot343+3\cdot49-189 \\ (fg)(7)=-2401+3087+147-189 \\ (fg)(7)=644 \end{gathered}[/tex]The result is (fg)(7)=644
4) (f/g)(7) First, divide both functions:
[tex](\frac{f}{g})=\frac{x^2-9}{3-x^2}[/tex][tex]\begin{gathered} (\frac{f}{g})=\frac{(x-9)x}{3-x^2} \\ (\frac{f}{g})=\frac{(-1)(x-9)x}{(-1)(3-x^2)} \\ (\frac{f}{g})=\frac{(-x+9)x}{(-3+x^2)} \\ (\frac{f}{g})=\frac{(9-x)x}{(x^2-3)} \\ (\frac{f}{g})=\frac{9x-x^2}{x^2-3} \end{gathered}[/tex]Substitute with x=7 and solve:
[tex]\begin{gathered} (\frac{f}{g})(7)=\frac{9\cdot7-7^2}{7^2-3} \\ (\frac{f}{g})(7)=\frac{63-49}{49-3} \\ (\frac{f}{g})(7)=\frac{14}{46} \\ (\frac{f}{g})(7)=\frac{7}{23} \end{gathered}[/tex]The result is (f/g)(7)= 7/23
Jessica currently has $180 dollars in her bank account and will add an additional $15 each week. Nate has $120dollars in his account and will add $20 each week.A. After how many weeks will they have the same amount of money in their accounts?B. What is the amount, in dollars, that each person will have after this many weeks?
Answers
Answer:
(a)12 weeks
(b)$360
Explanation:
Part A
Let the number of weeks when they have the same amount of money in their accounts be x.
[tex]\begin{gathered} \text{Jessica's amount after x weeks }=180+15x \\ \text{Nate's amount after x weeks }=120+20x \end{gathered}[/tex]If the amount of money is equal:
[tex]180+15x=120+20x[/tex]Solve for x:
[tex]\begin{gathered} 180-120=20x-15x \\ 60=5x \\ \frac{60}{5}=\frac{5x}{5} \\ x=12 \end{gathered}[/tex]Therefore, they will have the same amount of money after 12 weeks.
Part B
The amount that each person will have, (Using Jessica's Equation)
[tex]\begin{gathered} \text{Amount}=180+15x \\ =180+15(12) \\ =180+180 \\ =\$360 \end{gathered}[/tex]The amount, in dollars, that each person will have after 12 weeks is $360.
how much money should be deposited today in the account that are 7%, compounded and semi-annually so they will accumulate to 11,000 in 3 years
Answers
The rule of the compound interest is
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]A is the new amount
P is the initial amount
r is the rate in decimal
n is the number of the periods per year
t is the number of years
Since the rate is 7% compounded semi-annual, then
r = 7/100 = 0.07
n = 2
Since the amount after 3 years will be $11 000, then
A = 11 000
t = 3
Substitute them in the rule above to find P
[tex]\begin{gathered} 11000=p(1+\frac{0.07}{2})^{2(3)} \\ 11000=p(1.035)^6 \end{gathered}[/tex]Divide both sides by (1.035)^6 to find P
[tex]\begin{gathered} \frac{11000}{(1.035)^6}=P \\ 8948.507087=P \end{gathered}[/tex]Round it to the nearest cent (2 decimal places)
P = $8948.51
The amount invested was $8948.51
Please help I don’t know which to multiply or decide
Answers
a)
Answer:
Explanation:
From the information given, it costs $23 to rent a bike for 4 hours. Let x represent the number of hours that a customer gets per dollar. We have the following equations
4 = 23
x = 1
By cross multiplying,
x * 23 = 4 * 1
23x = 4
x = 4/23 = 0.17
A customer gets 0.17 hour per dollar
The total revenue from the sale of a poplar book is approximately by the rational function Where x us the number of years since publication and r(x) is the total revenue in millions of dollars. Use this function to complete parts a through dFind the total revenue at the of the first year ?
Answers
Divide 22 stars to represent the ratio 4:7.
Answers
Answer
Dividing 22 stars into the ratio 4:7 will give
8 stars : 14 stars
Explanation
We need to divide 22 stars into the ratio 4:7
Divide the ratio through by 11 (the sum of the two numbers in the ratio)
4:7 = (4/11) : (7/11)
Multiplying through by 22
(4/11) : (7/11)
= (4 × 22/11) : (7 × 22/11)
= 8 : 14
Hope this Helps!!!
if M angle ABD equals 7X - 31 n m a angles c d b equals 4x + 5 find M angle ABD
Answers
The quadrilateral is a rectangle, all of its corner angles are rigth angles.
5)
m∠DAC=2x+4
m∠BAC=3x+1
Both angles are complementary, which means that they add up to 90º
You can symbolize this as:
[tex]m\angle DAC+m\angle BAC=90º[/tex]Replace the expression with the given measures for both angles:
[tex](2x+4)+(3x+1)=90[/tex]Now you have established a one unknown equation.
Solve for x:
[tex]\begin{gathered} 2x+4+3x+1=90 \\ 2x+3x+4+1=90 \\ 5x+5=90 \\ 5x=90-5 \\ 5x=85 \\ \frac{5x}{5}=\frac{85}{5} \\ x=17 \end{gathered}[/tex]Next is to calculate the measure of m∠BAC, replace the given expression with x=17
m∠BAC=3x+1= 3*17+1=52º
6)
m∠BDC=7x+1
m∠ADB=9x-7
Angle m∠BDC is a corner angle of the rectangle, as mentioned before, all corner angles of a rectangle measure 90º, so there is no need to make any calculations.
Note: the diagonals of the rectangle bisect each corner angle, this means that it cuts the angle in half, so m∠BDC=2*(m∠ADB)
This is a 1st-grade math problem 12 + _____ = 13 + 7
Answers
I'll say that the unknown number is "x", then our expression is
[tex]12+x=13+7[/tex]And we want to find out the value of "x"
To solve it, we will first do the sum on the right side:
[tex]12+x=20[/tex]Now, we want to have "x" alone on the left side, then, let's subtract 12 on both sides
[tex]\begin{gathered} 12-12+x=20-12 \\ \\ x=20-12 \\ \\ x=8 \end{gathered}[/tex]Then the value of x is 8, let's test it:
[tex]\begin{gathered} 12+8=13+7 \\ \\ 20=20 \end{gathered}[/tex]Correct! 12 + 8 is 20. Then, the unknown number is 8
Answer:
Step-by-step explanation:
12 + 1 = 13 + 7=20
Find Q. round your final answer to the nearest tenth
Answers
To find Q, we use the SSS (side-side-side) theorem.
The law of cosine formula:
a^2 = b^2 + c^2 - 2bcCosA
using the letters in the diagram and since we looking for Q, it becomes:
q^2 = p^2 + r^2 -2prCosQ
Making Cos Q, the subject of formula:
q² - p² - r² = -2prCosQ
(q² - p² - r²)/-2pr = -2prCosQ/-2pr
(q² - p² - r²)/-2pr = CosQ
Cos Q = -(q² - p² - r²)/2pr
q =
Find the area of the shaded region. Use 3.14 to represent pi. Hint: You need to find height of triangle.A: 329.04B: 164.52C: 221.04D: 272.52
Answers
The area of the shaded region is 164.52 inches squared
Here, we wan to calculate the area of the shape given
From what we have, there is a triangle and a semi-circle
So the area of the shape is the sum of the areas of the triangle and the semi-circle
Mathematically, we can have this as;
[tex]\begin{gathered} \text{Area of triangle = }\frac{1}{2}\text{ }\times\text{ b }\times\text{ h} \\ \\ \text{Area of semicircle = }\frac{\pi\text{ }\times r^2}{2} \end{gathered}[/tex]where b represents the base of the triangle which is the diameter of the semicircle
The radius of the semicircle is 6 inches and the diameter is 2 times of this which equals 2 * 6 = 12 inches
The height of the triangle is 18 inches
The radius of the semicircle is 6 inches as above
Thus, we have the area of the shape as follows;
[tex]\begin{gathered} (\frac{1}{2}\times\text{ 18 }\times\text{ 12) + (}\frac{3.14\text{ }\times6^2}{2}) \\ \\ =\text{ 108 + 56.52} \\ \\ =\text{ 164.52 inches squared} \end{gathered}[/tex]help ! brainliest !!!
Answers
a, the reflexive property
Find each measure measurement indicated. Round your answers to the nearest tenth. Please show work. Answer number 1.
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Let's redraw the given figure, to easily understood the problem:
The figure appears to be a triangle with the following given,
c = AB = 17 cm
a = BC = unknown
b = CA = 44 cm
θ = 125°
m∠B means it is the angle at vertex B of the triangle, it is also the only angle given in the figure.
Therefore, the measure of m∠B is 125°.
How do you know if a sequence is a geometric sequence. A It has a common difference. B It has a common ratio.
Answers
A geometric sequence in which each next term is found by multiplying the previous term by a constant; therefore, every adjacent pair on entires in a geometric sequence have a common ratio. Hence, if any two consecutive entries in a sequence have a common ratio, it is a geometric series; therefore, choice B is the correct one to choose.
You have $28 to buy 7 goldfish for your new fish tank. Write and solve an inequality that represents the prices you can pay per fish.
Answers
If the price per each goldfish is p
The total cost of 7 goldfishes is 7p and it has to be less or equal to 28
The the inequality is:
7p <= 28
Solving for p:
7p <= 28
p <= 28/7 = 4
p <= 4
Answer:
You can pay up to $4 per each goldfish
Inequality: 7p <= 28
numbers. у xt Y y page ted. 8 7+ 6- 5 above in every Good; Fair; 3 2+ 1+ + x -9-8-7-6-5-4-3-2 1 2 3 4 5 6 7 8 9 -2 -3 -5 -6 -77 -87 -9-
Answers
step 1
Find the slope
we need two points
we take
(-6,0) and (0,4)
m=(4-0)/(0+6)
m=4/6
m=2/3
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=2/3
b=4
substitute
y=(2/3)x+4