Answer:
Rectangular fence dimensions:
x = 14 ft
w = 7 ft
A = 98 ft²
Step-by-step explanation:
Rectangular fence dimensions:
x length and w width
Then x = 2*w ⇒ w = x/2
Perimeter is
p = 2*x + 2*w
p = 2*x + 2* x/2
p = 2*x + x
3*x = 42
x = 14 ft and w = 14/2 ⇒ w = 7 ft
List the numbers that are in set (A U B)'
Answer
Step-by-step explanation:
(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5Please answer it in two minutes
Answer:
(7.5 , 5.5)
Step-by-step explanation:
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
To calculate it:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
on a piece of paper graph y=-2x-4
Answer:
Use a graphing calc or desmos to help guide you.
Step-by-step explanation:
Please answer this in two minutes fast
Answer:
(16,4)
Step-by-step explanation:
To go from M to S
(-4, 2.5)
Reverse
(16,4)
Answer:
work is shown and pictured
A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of elevation to the top of the building
Answer:
The angle of elevation to the top of the building is 63.61 degrees
Step-by-step explanation:
Here, we want to calculate angle of elevation to the top of the building.
For this, we need a triangle
Please check for this in the attachment.
From the diagram, we are to calculate the angle theta.
To do this, we use trigonometric identities.
Looking at what we have, we have the hypotenuse and the adjacent.
So the trigonometric identity to use is the cosine
Mathematically Cosine theta = adjacent/hypotenuse
Thus, Cos theta = 20/45
Cos theta = 0.444444444444444
Theta = Arc cos(0.444444444444444)
Theta = 63.61 degrees
A helicopter makes a round trip flight that lasts 4.5 hrs. if the average rate out was 80 miles per hour and the average rate in was 100 miles per hour. what was the helicopters greatest distance from the airport?
Answer:
Let d = the one-way trip
Write a time equation: time = dist/speed
time out + time back = 4.5 hrs
d/80 + d/100 = 4.5
Multiply by 400 to clear the denominators
400*d/80 + 400*d/100 = 400(4.5)
Cancel the denominators
5d + 4d = 1800
d = 1800/9
d = 200 miles max distance
The prime factorization of 324 can be written as 2^a x 3^b, where a = and b=
Answer: 2, 4 then c=4 also and B for the next one :)
Step-by-step explanation: Giving away 100 points be the first to comment on my " question " stay tuned!
2 rectangles have the same area. rectangle A is 6cm by 4cm, B is 3cm by Xcm. what is the value of X?
Answer:
x=8
Step-by-step explanation:
If the two rectangles have the same area, then you have to first find the area to solve the problem. To find the area, do 6(Length)x4(Width)=24. So now that we know that the area is 24, now all you have to do is divide 24 by 3 to find the missing dimension. 24÷3=8. Therefore, x=8.
which is the correct answer ? please help !
simplify to create an equivalent expression 2(-3k-5)
a) -6k - 10
b) 16k + 10
c) 6k + 10
d) 3k + 7
Answer: A
Step-by-step explanation: 2(−3k−5) = (2)(−3k+−5) = (2)(−3k)+(2)(−5) = −6k−10
what is the range of h?
Choose 1 answer:
А
The h(x)-values - 7,-5,- 2,0, and 5
B
-3 ≤ h(x) ≤ 4
C
-7 ≤ h(x) ≤ 5
D
The h(x)-values -3,-2,2, and 4
Answer:
Range is { -3, -2, 2,4}
Step-by-step explanation:
The range is the y values, or the outputs
Range is { -3, -2, 2,4}
Answer:
Range is { -3, -2, 2,4}
Step-by-step explanation:
Please help with this question
What is the solution to this system of linear equations? x + y = 4 x − y = 6 A: (4, 6) B: (6, 4) C: (5, −1) D: (−1, 5)
Answer:
C
Step-by-step explanation:
Given the 2 equations
x + y = 4 → (1)
x - y = 6 → (2)
Add the 2 equations term by term to eliminate y, that is
2x = 10 ( divide both sides by 2 )
x = 5
Substitute x = 5 into either of the 2 equations and evaluate for y
Substituting into (1)
5 + y = 4 ( subtract 5 from both sides )
y = - 1
solution is (5, - 1 ) → C
Hi, i need help with this question. Thank you so much if you decide to help me :3
Answer:
We can split this into ∛8 * ∛n⁹. ∛8 = 2 and ∛n⁹ = n³ so the answer is 2n³.
Answer:
2n^3
Step-by-step explanation:
please help :/ ill give brainlly -.-
Answer:
2 50 mL bottles
Step-by-step explanation:
Find the cost per mL
55 / 80 mL =.6875 per mL
Now find the price of the buy one get one 1/2 off
45 + 1/2 (45) = 45+22.5=67.5
That will be for 50+50 mL
67.5 /100 ml =.675 per mL
The 100 mL is a better deal
Answer:
Two 50 ml bottles.
Step-by-step explanation:
The 80 ml bottle costs £55. That means that you have to pay £55 / 80 per ml of perfume, which is £0.6875.
On the other hand, the 50 ml bottles cost £45. Since it is buy one get one half off, you can do 1.5 * £45 to get the price of both bottles. That would be £67.5 for 100 ml of perfume. You would pay £67.5 / 100 per ml of perfume, which is £0.675.
It is cheaper to get two bottles of 50 ml perfume, so that is the best value for the money.
Hope this helps!
If f(2) = 10 and f prime of x equals the quotient of x cubed and the quantity x plus 6 , which of the following is the best approximation for f(2.03) using local linearization? A) -7.97 B) 8.03 C) 10.03 D) 3.03
The best approximation for f(2.03) using local linearization will be 10.03
What is linearization?In mathematics, linearization is finding the linear approximation to a function at a given pointLinearization is a mathematical process of finding the linear approximation of inputs and corresponding outputs.What are steps to solve this problem?The steps are as follow:
Given that f(2) = 10 and f prime of x equals the quotient of x cubes and the quantity x plus 6we have to find approximation of f(2.03) using local linearization as follows:f'(x)= x^3/x+6
f(2) = 10
f(2.03) = ?
f(2.03) = f(2) + f'(2.03)(2.03 - 2)
f(2.03) = 10 + 0.03
f(2.03) = 10.03
So the best approximation for f(2.03) using local linearization will be 10.03
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What is the least common denominator of the rational expressions below?
Answer:
3x^2 ( x+5)
Step-by-step explanation:
1/x^2 + 1/( 3x^2 +15x)
Factor the denominators
x^2 = x*x
3x^2 +15x = 3 *x( x+5)
The common denominator is
x* 3x* (x+5)
3x^2 ( x+5)
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round to the nearest square inch. Heron's formula: Area 19 square inches 37 square inches 60 square inches 95 square inches
Answer:
Area of triangle RST = 95 in² (Approx)
Step-by-step explanation:
Given:
Side a = 22 in
Side b = 13 in
Perimeter = 50 in
Find:
Area of triangle
Computation:
Side c = Perimeter - Side a - Side b
Side c = 50 - 22 - 13
Side c = 15 in
Heron's formula:
s = Perimeter / 2 = 50 / 2
s = 25 in
Area of triangle = √s(s-a)(s-b)(s-c)
Area of triangle = √25(25-22)(25-12)(25-15)
Area of triangle = √25(3)(13)(10)
Area of triangle = 5√390
Area of triangle = 5 × 19(approx)
Area of triangle RST = 95 in² (Approx)
Answer:
D.95 on edge
Step-by-step explanation:
Calculate the distance between the points G=(-9, 8) and H=(-2, 2) in the coordinate plane.
Give an exact answer (not a decimal approximation).
10+
8
Distance: 0
+
-10-8
-6
-4
- 2
2
6
8
10
-S
-10
Answer:
[tex]\sqrt{153}[/tex]
Step-by-step explanation:
Using Pythagoras in 3D.
[tex]a^2+b^2=c^2[/tex] (The distance between two points in a direction)
For the x-plane.
[tex](-9)^2+(-2)^2=c^2\\85=c^2\\c=\sqrt{85}[/tex]
For the y-plane.
[tex]8^2+2^2=c^2\\68=c^2\\c=\sqrt{68}[/tex]
Finding the shortest distance between those two points.
[tex]\sqrt{68}^2+\sqrt{85}^2=c^2\\68+85=c^2\\153=c^2\\c=\sqrt{153}[/tex]
which second-degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2
Answer:
f(x) = -x^2 +8x -16
Step-by-step explanation:
With the given data, we can write the factored function as ...
f(x) = -1(x -4)^2 . . . . . -1 is the leading coefficient; exponent of 2 gives root multiplicity
f(x) = -x^2 +8x -16
You own a comic book store. When you order comic books for your store to sell, you get 18 comic books per bundle. How many comic books would you have to sell if you ordered 7 bundles?
Answer:
the answer is 126
Step-by-step explanation:
beacuse if you sell 7 bundles for every one you get 18 so 18+18+18+18+18+18+18=126
Answer:
126 books
Step-by-step explanation:
There are 18 books per bundle and 7 bundles
So you would multiply 7 with 18 and get your answer of 126 books to sell
A football coach is trying to decide: When a team is ahead late in the game, which strategy is better? Play the "regular" defense. Play a "prevent" defense that guards against long gains but makes short gains easier. The coach reviews the outcomes of 100 games. Compare the probability of winning when playing regular defense with the probability of winning when playing prevent defense. Draw a conclusion based on your results.
Answer: B
Step-by-step explanation:
The probability of winning when playing regular defense is 42 over the total 50.
42/50 = 0.84
The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.
35/50 = 0.70
0.84 is greater than 0.70 so your more likely to win playing regular defense.
B. P(win | regular) = 0.84
P(win | prevent) = 0.70
Conclusions : You are more likely to win by playing regular defence.
What is probability ?The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.
What is the conclusion of the problem ?The number of outcomes of winning by regular defence is 42 out of 50.
∴ P(win | regular) = 42/50 = 0.84
The number of outcomes of winning by prevent defence is 35 out of 50.
∴ P(win | prevent) = 35/50 = 0.70
Conclusion : You are more likely to win by playing regular defence.
Hence the option B is correct.
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Jan is looking at a map
of Roaring River. The map was
created using the scale 1 inch :
25 miles. If the river is 5.5
inches long on the map, then it
is actually
miles long.
Answer:
Step-by-step explanation:
Use proportions here to solve this, with inches on the top of the ratio and miles on the bottom:
[tex]\frac{in}{mi}:[/tex]
Filling in what we are given, then:
[tex]\frac{in}{mi}:\frac{1}{25}[/tex]
That's our scale. One inch is the same as 25 miles. If we want to know how many miles long the river actually is, we put 5.5 inches on the top with inches and the unknown number of miles, x, on the bottom with miles:
[tex]\frac{in}{mi} :\frac{1}{25} =\frac{5.5}{x}[/tex] and cross multiply:
x = 25(5.5) so
x = 137.5 miles
Factor p 2 + 18 p + 32.
But it’s P squared
This can be factored into the product of two binomials.
We are going to setup two sets of parenthses and inside each set of parenthses will be the two terms that compose each binomial.
The first term in each binomial will be a factor of the p² term.
Since p² breaks down into p · p, we use a p
as the first position in each binomial.
The second term in each binomial will be the factors of
our constant term that add to the coefficient of the middle term.
These factors are +16 and +2.
So our answer is (p + 16)(p + 2).
Check out the image provided.
I have showed the different pairs of factors of 32.
However, only +16 and +2 add to the coefficient of the middle term.
Last year, 1,345 bicyclists showed up to the bicycle race. This year, only 690 bicyclists showed up. Write the ratio of the number of bicyclists that showed up to the bicycle race for the past two years.
Answer:
138 : 269
Step-by-step explanation:
Last year, the number of bicyclists that showed up was 1345.
This year, there were 690 bicyclists.
The ratio of the number of bicyclists that showed up for the past two years is the ratio of those that showed up this year to those that showed up last year:
690 : 1345
Let us put it in simplest terms:
138 : 269
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
XSD3
X=-1
X30
x%3D3
Answer:
No solution
Step-by-step explanation:
2(x-3)+9=3(x+1)+x Distribute on both sides
2x-6+9=3x+3+x Combine like terms on both sides
2x+3=4x+3
-3 -3 Subtract 3 from both sides
2x=4x
-2x -2x Subtract 2x
0=2x There is no solution because there is no value of x to make the equation true.
Show your work!! *grade 9 math work*
Answer:
A = 5x · (3x + 7)
= 5x(3x) + 5x(7)
= 15x² + 35x meters
Answer:
15x^2+35x
Step-by-step explanation:
As the area formula is L*W, you're essentially doing the same thing here by multiplying both of these sides to get your area expression.
Take 5x and use the distributive property to multiply it with 3x+7 to get 15x^2+35x.
PLZ HELP I NEED BIG BRAINERZ HERE Evaluate the expression below and write the answer in standard exponent form. What is the power of the answer? 6.07288 × 10^14÷7÷37 × 10^4
Answer:
The solution would be 75911*10^10/462500 or 1.64132 x 10^9
Step-by-step explanation:
Hiiii someone please help me I'm confused please helppp
If the length of the bases of right triangle GHI are 9 units and 15 units respectively, what is the length of the hypotenuse of GHI?
Answer:
17.5 units
Step-by-step explanation:
a² + b²= c²
9² + 15² = c²
81 + 225 = c²
c² = 306
c = √306
c = 17.5
find the GCF[tex]14u^2+35u^4[/tex]
Answer:
If we look at the coefficients, 14 and 35 have a GCF of 7. The GCF of u² and u⁴ is u² so the answer is 7u².
Answer:
7u²
Step-by-step explanation:
14u² can be written as 2 × 7 × u × u
35u⁴ can be written as 5 × 7 × u × u × u × u
The greatest common factor is 7 × u × u.
please help my small brain understand this:
Two companies' rates for textbook rentals. What is the initial value for each function?
Company A: c = 15m + 15, where c = total cost in dollars and m = number of months
B = $19 per month per textbook
please and thank you -Jade
Answer
45 dolloar
Step-by-step explanation:
