Answer:
a) 9000 ft-lb
b) 9000 ft-lb
Step-by-step explanation:
Equation for the work:
The equation for the work done is given by:
[tex]W = Fd[/tex]
In which F is the force needed and d is the distance. The time does not interfere on the work.
A 300-lb gorilla climbs a tree to a height of 30 ft
This means that [tex]F = 300, h = 30[/tex]
Thus
[tex]W = Fd = 300(30) = 9000[/tex]
The work done in both cases is of 9000 ft-lb, as the work is not a function of time.
Helpppp please ASAP
Answer:
(13, -3).
Step-by-step explanation:
Expression representing transformation has been given as,
[tex]r_{y-z}oT_{4,-5}[/tex]
First apply the rule → [tex]T_{4,-5}[/tex]
Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,
(x, y) → (x + 4, y - 5)
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Now apply the rule of reflection over the line y = -x to the image point (3, -13),
(x, y) → (-y, -x)
(3, -13) → (13, -3)
Therefore, answer will be (13, -3).
The perimeter of a rectangle 6 5/7 ft and 2 5/6 ft
Two triangles have the same area. One triangle has a base of 4 cm and a height of 7 cm. If the height of the other triangle is 14 cm, then what is its base length?
3 cm
2 cm
4 cm
5 cm
Answer:
x = 2
Step-by-step explanation:
→ Work out the area of the first triangle
0.5 × 4 × 7 = 14
→ Set up an equation for the second base
0.5 × x × 14 = 14
→ Simplify
7x = 14
→ Divide both sides by 7
x = 2
Answer:
option B = 2cm
Step-by-step explanation:
[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]
[tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]
Given area of second triangle is same as first.
[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]
[tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]
Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+9y=18
Answer:
y = -4/3x + 2
Step-by-step explanation:
Slope intercept form is y = mx + b.
Rearrange the equation into slope intercept form by isolating y:
12x + 9y = 18
9y = -12x + 18
Divide each side by 9:
y = -4/3x + 2
So, the equation is y = -4/3x + 2
If y= 5x- 2 were changed to y = x-2, how would the graph of the new
function compare with the first one?
O A. It would be less steep.
O B. It would be steeper.
O C. It would be shifted down.
OD. It would be shifted left.
Fran swims at a speed of 2.1 km/h in still water. The Lazy River flows at a speed of 0.7 km/h. How long will it take Fran to swim 10 km upstream?
What is Fran's speed while swimming upstream?
Answer: Fran's speed while swimming upstream = 1.4 km/h
Step-by-step explanation:
Given: Fran's swimming speed = 2.1 km/h
Speed of river = 0.7 km/h
The direction against the stream is called upstream.
Speed in Upstream = Fran's swimming speed - Speed of river
= 2.1-0.7 km/h
= 1.4 km/h
hence, Fran's speed while swimming upstream = 1.4 km/h
What is the exponential regression equation that fits these data? x у 1 4 2 9 3 27 4 90 5 250 6 580 O A. y = 39.16x2 - 169.38x+ 158.9 O B. y = 1.31(2.804) O C. y = 2.80(1.31") O D. y = 104.74x - 206.6
Answer:
1.31(2.80)^x
Step-by-step explanation:
Given the data :
x : 1 2 3 4 5 6
y : 4 9 27 90 250 580
Using technology, the exponential regression data obtained by fitting the data is :
y = 1.31(2.80)^x
Where, y = predicted value
1.31 = Initial value
2.80 = growth fractor
x = period
Answer:
1.31(2.80)^x
trust me i just did the cst
Step-by-step explanation:
Help me please asap!!
Answer:
angle BCA = 45 degree
Step-by-step explanation:
since it is an isosceles triangle , it's one angle is 90 degree whereas other two angles are 45 degree each.
Find the difference of (4.2x10^3)-(2.7x10^3)
Show work!
Step-by-step explanation:
Is it helpful ?
plz let me know
The table contains the lengths of the sides of different triangles. Do the given side lengths form a right triangle?
Drag and drop Yes or No into the box next to the side lengths.
5 cm, 12 cm, 13 cm
8 cm, 9 cm, 10 cm
3 cm, 4 cm, 4 cm
7 cm, 24 cm, 25 cm
1 cm, 4 cm, 9 cm
Answer:
ans: it's order wise
a) yes
b) no
c) no
d) no
Step-by-step explanation:
use pythagoras theorem
h² = p² + b²
data given satisfying the theorem form right angled triangle
Kathy stood on the middle rung of a ladder. She cimbed up 3 rungs, moved down 5 rungs, and then climbed up 9 rungs. Then she climbed up the remaining 2 rungs to the top of the ladder. How many rungs are there in the whole ladder?
Answer:
18 rungs
Step-by-step explanation:
Let x = number of rungs
x/2 = middle
Climbed 3
x/2 +3
Down 5
x/2 +3 -5
Climbed 9
x/2 +3 -5+9
Then climbed 2 more
x/2 +3 -5+9 +2
Now is at the top
x/2 +3 -5+9 +2 =x
Combine like terms
x/2 +9 = x
Subtract x/2 from each side
x/2+9-x/2 = x - x/2
9 = x/2
Multiply each side by 2
18 =x
Solve for the integer x in the following. 2^x = 16
Find the general value of log(1 + i) + log(1 - i)
Answer:
the answer would be log 2
Which of the data sets below has a mean of 48? Select all that apply.
A) 51, 53, 43
B) 24, 91, 18, 65, 52
C) 65, 18, 72, 33, 52
D) 72, 18, 56, 46
How to solve and answer
Answer:
option A
Step-by-step explanation:
2x*(x + 3) = 6x + 4
2x *x + 2x*3 = 6x + 4 {Distributive property}
2x² + 6x = 6x + 4
Subtract 6x from both sides {Subtraction property of equality}
2x² = 4
Divide both sides by 2 {Division property of equality}
x² = 4/2
x² = 2
x = √4 {Square root property}
x = ± 2
Write the following sentence using mathematical symbols.
The product of 9 and x is less than or equal to - 40.
The answer is
Savannah needs to order some new supplies for the restaurant where she works. The
restaurant needs at least 694 knives. There are currently 262 knives. If each set on
sale contains 12 knives, which inequality can be used to determine s, the minimum
number of sets of knives Savannah should buy?
Answer:
[tex]s\geq 36[/tex]
Step-by-step explanation:
Step 1, how many knives to buy?
The restaurant already has 262 knives. We can subtract this number from their needed 694 knives to find how many they still need:
[tex]694-262=432[/tex] knives.
Step 2, how many sets of knives?
The restaurant needs to buy 432 knives. We know the knives come in sets of 12, so we can divide to find the # of packs she needs to buy, determined by variable s.
Notice how the restaurant needs to buy a minimum of 694 knives, hence we use a greater or equal than symbol:
[tex]\fbox{\frac{432}{12} \geq s}\\[/tex][tex]s\geq \frac{432}{12}[/tex]
[tex]s\geq 36[/tex]
I hope this helps! Let me know if you have any questions :)
The inequality that can be used to determine s, the minimum number of sets of knives Savannah should buy is 694 ≥ 262 + 12s.
Given that;
The restaurant needs at least 694 knives. There are currently 262 knives.
Here, each set on sale contains 12 knives.
Let us assume that;
The minimum number of sets of knives Savannah should buy = s
Hence the inequality for the given condition is,
694 ≥ 262 + 12s
To learn more about inequality visit:
https://brainly.com/question/25944814
#SPJ3
Les municipalités de Sainte-Julie,
Saint-Bruno-de-Montarville, Saint-Basile-le-Grand
et Saint-Mathieu-de-Beloeil prévoient construire
une piste cyclable qui entourera le mont Saint-Bruno.
La piste cyclable est illustrée en rouge sur la carte
ci-contre. Les distances sont en kilomètres.
a) Pour construire la piste cyclable, une entreprise
demande 12 451,50$ par kilomètre.
Si les municipalités concernées ont prévu
un budget de 300 000 $ pour l'aménagement
de la piste, respecteront-elles le budget estimé ?
Answer:
CNC app BC we can we can MN we all at can we can we do all we can we go we go we cannot GL can see VM we BM
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9) -5 +
-6
-16
please help!
Answer:
x = 16
Step-by-step explanation:
[tex]-5+\frac{x}{-16} =-6[/tex]
[tex]-5+\frac{16}{-16} =-6[/tex]
[tex]-5-1=-6[/tex]
[tex]-6=-6[/tex]
Answer:
101
Step-by-step explanation:
-5 + ×/-16=-6
-5+x=96
x= 101
Answer this math gods
Answer:
y = 4x^2
Hope that this helps!
a person can type 800 words in 10 minutes.how many words can be type in 1 minute?
Answer:
Yes they can type about 130 each minute
Step-by-step explanation:
I learned this in a book
Answer:
the person can type
80 wpm
Graph y < 1 – 3x
Need this really fast
Answer:
Step-by-step explanation:
Hope this helps
Please help! Which interval describes where the graph of the function is positive?
Answer:
c. -oo < x < -1
Step-by-step explanation:
according to the graph the function possitive
=> y > 0 , and x < -1
escribe un acto bueno de las personas y explica por qué es bueno
Answer:
Un buen acto o acción podría ser el donar dinero a la caridad, o contribuir con alimentos a comedores sociales. Estas serían buenas acciones porque, sin ninguna duda, ayudarían a contribuir con el bienestar de la sociedad, a través de la realización de medidas efectivas para luchar contra la pobreza, el hambre y la desigualdad de la población.
what is the simplest interest rate if $126.77 in interest is earned on a deposit of $1434.85 in one year?
Answer:
9%
Step-by-step explanation:
Principal x interest rate=yearly interest
1434.85 x interest rate =126.77
interest rate = 126.77/1434.85
interest rate=.088 or 9%
HELPPPPPPPP PLS!!!!!!!
Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Three-fourths (one-fourth x + 8) minus (one-half x + 2) = StartFraction 3 Over 8 EndFraction (4 minus x) minus one-fourth?
Answer:
if I am understood your question correctly, X would be 84/29
Step-by-step explanation:
PLEASE HELP ASAP For each expression below, select the letter that corresponds to the equivalent expression from the given list.
(4x^3 – 4 + 7x) – (2x^3- 8)
is equivalent to expression___
(-3x^2 + x^4 + x) + (2x^4 - 7 + 4x) is equivalent to expression ____
(12 – 2x)(2x + 3) is equivalent to expression___
The blanks are for the letters in the picture
BAnswer:
B-D-A
Step-by-step explanation:
-
A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find tanB, sin B, and cos B. (WORK INCLUDED GIVING BRAINLEST TO BEST ANSWER)
9514 1404 393
Answer:
tan(B) = 12/5sin(B) = 12/13cos(B) = 5/13Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships.
Sin = Opposite/Hypotenuse ⇒ sin(B) = 12/13
Cos = Adjacent/Hypotenuse ⇒ cos(B) = 5/13
Tan = Opposite/Adjacent ⇒ tan(B) = 12/5
Encontrar X..................