Answer:
length= 125
width= 100
Step-by-step explanation:
let width have a length of x m
therefore length= (x+25)m
perimeter=2(length +width)
p=2((x+25)+x)
p=4x+50
but we have perimeter to be 450,, we equate it to 4x+50 above,
450=4x+50
4x=400
x=100 m
length= 125
width= 100
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire is to be 14 feet longer than the height of the pole, what is the height of the pole?
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Answer:
105 ft
Step-by-step explanation:
Let x represent the height of the pole. Then (x -49) is the distance from the pole to the anchor point, and (x+14) is the length of the wire from the top of the pole to the anchor point.
The Pythagorean theorem gives us the relation ...
(x +14)² = x² +(x -49)²
x² +28x +196 = x² +x² -98x +2401 . . . . eliminate parentheses
x² -126x +2205 = 0 . . . . . . . . put in standard form
x² -126x +3969 -1764 = 0 . . . . "complete the square)
(x -63) = ±√1764 . . . . . . add 1764, take the square root
x = 63 +42 = 105 . . . . . . highest value root. The pole must be higher than 49 feet
The height of the pole is 105 feet.
when it is transformed to
What is the effect on the graph of f (2)
g(x) = 1 +112
A. The graph of f(x) is shifted 11 units to the left.
B. The graph of f(x) is shifted 11 units to the right.
C. The graph of f(x) is shifted 11 units up.
D. The graph of f(x) is shifted 11 units down.
Answer:
C. The graph of f(x) is shifted 11 units up.
Step-by-step explanation:
Given
[tex]g(x) = f(x) + 11[/tex]
Required
Interpret g(x)
When a function is shifted up in b units, the rule is:
[tex](x,y) \to (x,y+b)[/tex]
Replace b with 11
[tex](x,y) \to (x,y+11)[/tex]
Replace y with f(x)
[tex](x,f(x)) \to (x,f(x)+11)[/tex]
So, we have:
[tex]g(x) = f(x) + 11[/tex]
Hence; f(x) is shifted 11 units up.
What is the length of Line segment A C? Round to the nearest tenth.
Triangle A B C is shown. Angle A C B is 90 degrees and angle B A C is 55 degrees. The length of C B is 15 meters.
10.5 m
12.3 m
18.3 m
21.4 m
Answer:
10.5
Step-by-step explanation:
In the picture if you think about it, it has to be a number less than 15 since CB is 15. I picked 12.3 and got it wrong therefore it has to be 10.5.
Answer:
A) 10.5
Step-by-step explanation:
Find the intersection of the line and the circle given below
2x+y=-5
x^2+y^2=10
Answer:
There are two intersections.
(-3,1) and (-1,-3)
Step-by-step explanation:
Answer:
They intersect at (-3,1), and also (-1,-3)
Step-by-step explanation:
Graph:
I’m in summer school can y’all plz help me
Answer: Choice A. [tex]-x^2+2x+8[/tex]
Work Shown:
[tex](f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = (2x+1) - (x^2-7)\\\\(f - g)(x) = 2x+1 - x^2+7\\\\(f - g)(x) = -x^2+2x+(1+7)\\\\(f - g)(x) = -x^2+2x+8\\\\[/tex]
which shows the answer is choice A.
Side note: be sure to distribute the negative to every term inside the second set of parenthesis. So you wouldn't say -(x^2-7) = -x^2-7. If you did this error, then you'd get to the wrong answer choice C.
Answer:
hope it helps u plz mark me brainliest mate
Step-by-step explanation:
(f-g)(x)=2x+1-(x^2-7)
(f-g)(x)=2x+1-x^2+7
(f-g)(x)= -x^2+2x+8
this is the correct answer
Can someone help please
9514 1404 393
Answer:
(b) f(x) = (-x)^(1/2)
Step-by-step explanation:
The square root is only defined for argument values that are non-negative. Hence the domain of ...
f(x) = (-x)^(1/2)
is all values of x less than or equal to zero. This is not "all values of x."
Find the volume of the figure. Round to the nearest tenth if necessary.
Answer:
Volume = 204 m³
Step-by-step explanation:
The figure is a triangular prism
Volume of the triangular prism = ½ × a × c × h
Where,
a = 8 m
c = 5.1 m
h = 10 m
Plug in the known values and solve
Volume = ½ × 8 × 5.1 × 10
Volume = 4 × 5.1 × 10
Volume = 204 m³
Given the function f(x) = 7x^2 − 2x + 5. Calculate the following values:
We have that the Fuction's result for the given values are
f(-2) =37f(-1) =14f(0) =5 f(1) =10f(2) =29
From the Question we are told that
Function
[tex]f(x) = 7x^2 -2x + 5.[/tex]
Generally
For -2
[tex]f(-2) = 7(-2)^2 − 2(-2) + 5.[/tex]
f(-2) =37
For -1
[tex]f(-1) = 7(-1)^2 − 2(-1) + 5.[/tex]
f(-1) =14
For 0
[tex]f(0) = 7(0)^2 − 2(0) + 5.[/tex]
f(0) =5
For 0
[tex]f(1) = 7(1)^2 − 2(1) + 5.[/tex]
f(1) =10
For 2
[tex]f(2) = 7(2)^2 − 2(2) + 5.[/tex]
f(2) =29
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I’m having trouble finding the answers to this problem
Step-by-step explanation:
Solve by Subsitution
[tex]x = 50 - y[/tex]
Replace this into the second equation
[tex]y(50 - y) = 300[/tex]
[tex]50y - {y}^{2} = 300[/tex]
Write in standard form
[tex] - {y}^{2} + 50y = 300[/tex]
Use the quadratic formula, and our answer will be
(6.97,43.02)
(43.02,6.97)
Which expression is equivalent to this polynomial? 9x^2 + 4
A. (3x+2i)(3x-2i)
B. (3x+2)(3x-2)
C. (3x+2i)^2
D. (3x+2)^2
What is the cardinal number of the set {-1,3,7,52,36,19,-6}
Answer:
can you please send me another one
Can someone plz solve this for me
Answer: [tex]y^\frac{1}{8}[/tex]
Step-by-step explanation:
Ok so when taking roots the number in the little corner at the left of the radical sign (if there is one) is the root you take. It could be the 4th root, 6th root, or the x root. You don't have to use the radical sign though, you can use an exponent to write it. All you have to do is take the reciprocal of the number to find what to write for the exponent. So for those examples it would be [tex]\frac{1}{4}, \frac{1}{6} ,\frac{1}{x}[/tex]. The number in the top left of the radical sign is 8 so the answer would be [tex]y^\frac{1}{8}[/tex]
Water is leaking out of an inverted conical tank at a rate of13400cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height8meters and the diameter at the top is6meters. If the water level is rising at a rate of24centimeters per minute when the height of the water is5meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
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Answer:
2,664,118.8 cm³/min
Step-by-step explanation:
The diameter at the water level of 5 m is (5/8)(6 m) = 3.75 m, so the area of the water surface is ...
A = (π/4)d² = (π/4)(3.75 m)² ≈ 11.044662 m²
When rising at the rate of 24 cm/min, the volume is increasing at the rate ...
(110,446.62 cm²)(24 cm/min = 2,650718.8 cm³/min
The input volume must be sufficient to accommodate this increase as well as the leakage. Then the input volume is ...
2,650718.8 cm³/min + 13,400 cm³/min = 2,664,118.8 cm³/min
1. Find the equation of each of the straight line graphs that passes through the given
points.
(i) (1, 7) (2, 10)
(ii) (3, -1) (-2, 9)
(iii) (4, 3) (8,4)
(iv) (2, -5) (-2, 7
(v) (-1, -8) (3, 12)
(vi) (-5, 1) (10, –5)
(viii) (2, 2) (0, -4)
Answer:
25.987957
Step-by-step explanation:
f(x)=-2x^2+x-5 find f(5)
f(5) = -50
Hope it helps you...
Two vectors m and n are defined by 3i+4j and n=2i-j. find the angle between m and n
Answer:
[tex]{ \tt{m.n = |m| |n| \cos( \theta) }} \\ { \tt{ (3 \times 2) + (4 \times - 1) = (5)( \sqrt{5}) \cos( \theta) }} \\ { \tt{ \cos( \theta) = \frac{0.4}{ \sqrt{5} } }} \\ \theta = 79.7 \degree[/tex]
factor the polynomial
-x5+36x3-22x2-147x-90
Answer:
-(x+6)(x+1)^2(x-3)(x-5)
Step-by-step explanation:
Ayúdenme con esta multiplicación de polinomio por favor
(2×+3y)(-4ײy-2×y²)
Answer: welcome to brainly
Step-by-step explanation:
Hello there! My name is agenthammerx, a Master Answerer and Engagement Team Member here on Brainly. I am here to welcome you to the site! Thank you for taking initiative to check out Brainly and for posting your first question! The Brainly Community welcomes you. If you have any questions regarding anything about the site, please don’t hesitate to reach out to me! I will try my best to help you and answer your question or check out our help center at https://faq.brainly.com/
Consider the following data representing the price of refrigerators (in dollars).14051405, 11211121, 13391339, 10961096, 12991299, 14011401, 11381138, 11491149, 12231223, 10711071, 13991399, 14001400, 12421242, 13181318, 11011101, 10651065, 14281428, 12251225, 13501350, 13581358, 13121312Copy DataPrice of Refrigerators (in Dollars)Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency1049–1118 1119–1188 1189–1258 1259–1328 1329–1398 1399–1468 Step 2 of 7 : Determine the frequency of the fifth class.
Answer:
3
Step-by-step explanation:
Given the data:
1405, 1121, 1339, 1096, 1299, 1401, 1138, 1149, 1223, 1071, 1399, 1400, 1242, 1318, 1101, 1065, 1428, 1225, 1350, 1358, 1312
Using the intervals:
Class interval ___ Frequency
1049–1118 ________ 4
1119–1188 ________ 3
1189–1258 ________3
1259–1328 _______ 3
1329–1398 _______ 3
1399–1468 _______ 5
From the table ; the fifth class is the interval :
1329 - 1398 and it has a frequency of 3
According to this map of railroads in 1890, what part of country were most
railways concentrated?
Answer:
In 1890, America's railroad linked mainly through the north and south rarely in the west if at all.
A number is multiplied by 5 and the answer when divided by 3 gives 1315 . what is the number ?
Answer:
5×789/3
Step-by-step explanation:
According to the question you could simplify the above numbers .
Answer:
789
Step-by-step explanation:
let the number=x
[tex]\frac{5x}{3}=1315\\5x=1315 \times 3=3945\\x=\frac{3945}{5}=789[/tex]
If mZACB = 180°, and m2DCB = 1350,
then mZDCA = [? ]°
Answer:
m<DCA=45°
Step-by-step explanation:
m<DCA=m<ACB-m<DCB
m<DCA=180°-135°
m<DCA=45°
The perimeter of a collage basketball court is 96 meters and the length is 14 meters more than the width. What are the dimensions? HELP MEEEEE
Answer:
width = 17 m ; length = 31 m
Step-by-step explanation:
w = width
l = length
perimeter of a rectangle = (length + width) * 2
l = 14 + w
(14 + w + w) * 2 = 96
(14 + 2w) * 2 = 96
28 + 4w = 96
4w = 68
w = 17 m
l = 14 + 17 = 31 m
Which system of linear inequalities has the point (3, -2) in its solution set?
Answer:
None of the given system of linear inequalities
Step-by-step explanation:
Given
[tex](x,y) =(3,-2)[/tex]
Required
The line inequalities with the above solution
The first set of linear inequalities, we have:
[tex]y < -3[/tex]
[tex]y \ge \frac{2}{3}x - 4[/tex]
[tex]y < -3[/tex] implies that the values of y is -4,-5.....
While [tex](x,y) =(3,-2)[/tex] implies that y = -2
Hence, the first set is wrong
The second set of linear inequalities, we have:
[tex]y > - 2[/tex]
[tex]y \ge \frac{2}{3}x - 4[/tex]
[tex]y > - 2[/tex] implies that the values of y is -1,0.....
While [tex](x,y) =(3,-2)[/tex] implies that y = -2
Hence, the second set is wrong
The system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.
What are systems of linear inequalities?A system of linear inequalities is known to be a composition of linear inequalities that can be found in the same variables.
The graph that is showing y > -3; y ≥ 2/3x - 4
-2 > -3 is true
y ≥ 2/3x - 4
-2 ≥ -2 is true
Therefore, y > -3; y ≥ 2/3x - 4 has the point (3, -2) in its solution set.
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on monday, sammy the storekeeper decided the increase the price of avocados by 20%. on tuesday he increases this price by another 25%. what percent of the original avocados after both increases? on Wednesday, sammy decides to return the avocados to their original price. by what percent must he decrease the tuesday price?
Answer:
I think 55%
Step-by-step explanation:
Answer:
Increases = 50%On Wednesday, sammy must decrease 50% to return to original priceStep-by-step explanation:
price on monday go to: 100% + 20% = 120% = 1,2 x first price
price on tuesday go to: 125% of 120% = 1,25 x 1,2 = 1,5 x first price
Increases = 50%
on Wednesday, sammy must decrease 50% (of price after second increases) to return to original price
For example for understanding:
If original price is $100
firs increase: new price: $100 + $20 = $120
second increase: new new price: $120 + $30 = $150
final price - original price = $150 - $100 = $50
And icreases/original = $50/$100 =0,5 = 50%
For return to orignial price, sammy must have to reduce 50% the price of avocados in wednesday
For f(x) = 4x2 + 13x + 10, find all values of a for which f(a) = 7.
The solution set is ???
i keep getting -2, -1/5 ... but it’s telling me it’s wrong. help!.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
Answer:
0.84
Step-by-step explanation:
4x2+13a+10=7
13a=7-10-8
13a=-11
a=-11:13
a=0.84
Need the answer plz.
Need answers please offering 30 points
Answer:
yefeihuerijohiftv3ugrhoerfujfy
Step-by-step explanation:
One 8.3 ounce can of Red Bull contains energy in two forms: 27 grams of sugar and 80 milligrams of caffeine. One 23.5 ounce can of Jolt Cola contains 94 grams of sugar and 280 milligrams of caffeine. Determine the number of cans of each drink that when combined will contain 457 grams sugar and 1360 milligrams caffeine. We need cans of Red Bull, and cans of Jolt.
oliver walks 5/8 of a mile in 1/6 of an hour. What is his unit rate in miles per hour?
Answer:
3.75 miles per hour
Step-by-step explanation:
(5/8)/(1/6)=3.75 mph, or you could do 5/8 x 6, since 1/6 x 6 equals one hour
Answer:
3 3/4 miles per hour
Step-by-step explanation:
Take the miles and divide by the hours
5/8 ÷ 1/6
Copy dot flip
5/8 * 6/1
Rewriting
5/1 * 6/8
5/1 * 3/4
15/4
3 3/4
