Answer:
A.) w² + 3w in²
B.) 28 in²
Step-by-step explanation:
A.)
Let w = width and l = length.
The area of a rectangle can be written as length · width (base · height). The problem informs us that the length of the rectangle is 3 inches greater than the width. Therefore, l can also be written as w + 3. We can use this to form a polynomial that represents the area of the rectangle.
A(rectangle) = lw = (w + 3) · w = w² + 3w
B.)
Use the polynomial we previously found to find the area.
A(rectangle) = (4)² + 3(4) = 16 + 12 = 28 in²
Model:
help me plz correctly
Step-by-step explanation:
<PQR and <SRQThe supplementary of a is b and c.<BFG<GFH<ECB<DCB<ABC and <BCZ, <DCZ and <CBX, <ABW and <BCY, <DCY and <CBW1. ∠SPQ
2. ∠b and ∠c both are supplementary of ∠a
3. ∠BFG
4. ∠GFH
5. ∠ECB
6. ∠DCB
7. (i) ∠ABX and ∠BCZ
(ii) ∠DCZ and ∠CBX
(iii) ∠ABW and ∠BCY
(iv) ∠DCY and ∠CBW
If you save 10 cents a day, how many days would it take to save a million cents?
Answer: 100,000
Step-by-step explanation: 1,000,000 divided by 10.
a^3-a+b^3-b
Factorise
[tex]\\ \rm\longmapsto a^3-a+b^3-b[/tex]
Take a common first[tex]\\ \rm\longmapsto a(a^2-1)+b^3-b[/tex].
Take out b common
[tex]\\ \rm\longmapsto a(a^2-1)+b(b^2-1)[/tex]
[tex]\\ \rm\longmapsto (a+b)(a^2-1)(b^2-1)[/tex]
Step-by-step explanation:
a^3-a+b^3-b = a³+b³-a-b
= a³+b³ - (a+b)
= (a+b)(a²-ab+b²) - (a+b)
= (a+b) (a²-ab+b²-1)
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3
hope it is help full
Step-by-step explanation:
mark me a brainlistCORRECT ANSWER ONLY PLEASE!!! The table of values represents the function g(x) and the graph shows the function f(x).
Answer: Choice C. f(x) and g(x) have a common x intercept.
Explanation:
The graph of f(x) shows it has an x intercept at x = 2, since this is one location where the curve crosses the x axis.
The g(x) table shows that x = 2 and y = 0 pair up together. This is the location (2,0). This location is the exact same x intercept as described earlier.
This is the common x intercept the two functions share. This means the two functions cross or intersect at this location.
Between 8.5% and 9.4% of the city's population uses the municipal transit system daily. According to the latest census, the city's population is 785,000. How many people use the transit system daily?
Given:
City's population= 785,000.
Calculating of city's population:
[tex]\to \bold{785000 \cdot 8.5 \% = 785000 \cdot \frac{8.5}{100}=785000 \cdot \frac{\frac{85}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{\frac{\frac{85}{10}}{100}, \text{write as 100 like} \ \frac{100}{1}}[/tex]
[tex]\to \bold{785000 \cdot \frac{ \frac{85}{10}}{100}=785000 \cdot \frac{\frac{85}{10}}{\frac{100}{1}}=785000 \cdot \frac{85}{1000}=66725}[/tex]
Therefore, [tex]\bold{8.5\% \ of\ 785000\ is\ {66725}}[/tex]
Calculating [tex]\bold{9.4\%}[/tex] of the city's population:
[tex]\to \bold{9.4\% (\frac{9.4}{100})}:\\\\\to \bold{785000 \cdot 9.4\% = 785000 \cdot \frac{9.4}{100}=785000 \cdot \frac{\frac{64}{10}}{100}}[/tex]
Calculating the complex fraction:
[tex]\to \bold{ \frac{\frac{94}{10}}{100}\ \text{write 100 as} \ \frac{100}{1}}\\\\\to \bold{785000 \cdot \frac{\frac{94}{10}}{100}=785000 \cdot \frac{\frac{94}{10}}{\frac{100}{1}}=785000 \cdot \frac{94}{1000}=73790}\\\\[/tex]
Therefore, [tex]\bold{9.4\%\ of\ 785000\ is\ {73790}}[/tex]
So, the final answer is "Between 66725 and 73790 people use the transit system daily".
Learn more:
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The multiplicative inverse of -3 2/5 × 5 / 34 is
Answer:
-2
Step-by-step explanation:
=-3 2/5 * 5/34
=-17/5 * 5/34
=-1/2
multiplicative inverse of -1/2 is -2
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Answer:
-10
Step-by-step explanation:
the answer to the question is-10
Answer:
If it's addition then the answer is
-10
What is the product of 3x+4 and 6x2−5x+7?
The sum of 9 and y is less than -21.
Translate the Sentences into an inequality
Answer:
9 + y < 21
Step-by-step explanation:
write the vertices of each figure
Can some one help mẹ pls....
Answer:
h(2) or h(g(4)) = -28
Step-by-step explanation:
g(t) = t - 2,
g(4) = 4 - 2,
g(4) = 2
h(t) = -3t³ - 2t,
h(2) = -3(2)³ - 2(2),
h(2) = -24 - 4,
h(2) or h(g(4)) = -28
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
24x; 10x + 8
12x; 7x + 3
24x; 5x + 14
12x; 5x + 14
The area of triangle will be 12x and perimeter of triangle will be 5x + 14.
The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.
We have to find area and perimeter of triangle using the data given.
What are the area and perimeter of a triangle ?
The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e., P = a + b + c.
As per the fig. given in question ;
h = 3x
b = 8
The area of the given triangle will be ;
A = [tex]\frac{1}{2}[/tex] × b × h
A = [tex]\frac{1}{2}[/tex] × 8 × 3x
A = 24x ÷ 2
A = 12x
The perimeter of triangle will be sum of all sides i.e.,
P = x + 9 + 4x - 3 + 8
P = 5x + 17 - 3
P = 5x + 14
Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.
To learn more about area and perimeter of triangle click here ;
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I need help on number 19 and 20
Del ejercicio anterior. ¿Qué energía potencial gravitatoria tiene la lámpara
respecto al techo?
Tenemos un problema sobre energía potencial gravitatoria.
Econtraremos la expresión general: U = M*h*(H - h')
Lamentablemente no tenemos ninguna información sobre este problema, por lo que tendre que utilizar una expresión general. Sabemos que la energía potencial de un objeto de masa M que está a una altura H sobre el suelo, está dada por: U = M*g*H
Donde g es la aceleración gravitatoria; g = 9.8m/s^2
Si en lugar de querer definir la energia potencial con respecto al suelo, la queremos definir con respecto a otra cosa, entonces debemos conocer la altura de esa cosa con respecto al suelo. Por ejemplo, si en este caso el techo está a una altura h' del suelo, entonces la energía potencial gravitatoria con respecto al techo será: U = M*h*(H - h')
Algo muy interesante que podemos ver en la ecuación de arriba, es que si: h' ≥ H, entonces tendremos una energía potencial negativa, lo cual tiene sentido, pues deberemos agregar energía a la lampara si queremos que esta tenga un potencial igual a cero (lo que seria equivalente a tener la lampara en el techo)
Si quieres aprender más, puedes leer:
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What’s the square root of 8
(20 points)
Answer:
answer is 2
Step-by-step explanation:
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Find the slope of the line through each pair of points (-15,-12),(-13,-19)
601.584 to the nearest tenth
Order from least to greatest
3.5,-2.1,√9,-7/2,√5
Answer:
-7/2,-2.1,✓5,✓9,3.5
Step-by-step explanation:
✓5=2.23
✓9=3
-7/2=-3.5
The best way to begin solving the equation 3/2 x - 3/4=4 is to multiply the entire equation by what to get the simplified equation 6x-3=16 A.6 B.2 C.4 D.3
Answer:
C. 4.
Step-by-step explanation:
Multiply by the LCD of 2 and 4 which is 4.
The decimal equivalent of is 3/4 is...
.30
.75
.80
.90
none of these
Answer:
0.75
Step-by-step explanation:
since it's a fraction you can divide
3 divided by 4 is 0.75
In a sample of 169 students, 16 said they donated blood. What percent of students have donated blood?
Answer:
9/79/169%
Step-by-step explanation:
16/169×100%=9/79/169%
Find the missing length
Step-by-step explanation:
In box, write 170.
Hope it helps.
Step-by-step explanation:
Hypotneuse²=Base²+Height²
C²=11²+7²
C²=121+49
C²= 170
C=√170
C=13.08
Paul joins a gym. He paid $50 as an initial fee and then pays $30 each month. Set up and solve an equation to find out how long has he been at the gym if he has paid $260
Answer:
the equation you would use: y = 30x + 50
(x= months)
(y= cost)
then you would plug in the cost, 260, for y to get
260 = 30x + 50 --> 7 months
Step-by-step explanation:
I got the equation from the slope intercept form y = mx +b.
The 30 is the m, or slope, because you end up paying the same amount every month. The b value would be the 50 that he initially pays because that never changes.
Since you're given the y-value of 260, you just plug it in to your new equation of y = 30x + 50 to solve for x.
when solving the equation with the plugged in numbers, (260 = 30x + 50) first subtract 50 from both sides to get 210 = 30x,
then divide by 30 on both sides (to keep the equations equal to each other and find x) --> you should get 7
Therefore, Paul has been at the gym seven months if he has paid $260.
5(a-1)-15=3(a+2)+4 help
Answer:
a=15
Step-by-step explanation:
5(a−1)−15=3(a+2)+4
Use the distributive property to multiply 5 by a−1.
5a−5−15=3(a+2)+4
Subtract 15 from −5 to get −20.
5a−20=3(a+2)+4
Use the distributive property to multiply 3 by a+2.
5a−20=3a+6+4
Add 6 and 4 to get 10.
5a−20=3a+10
Subtract 3a from both sides.
5a−20−3a=10
Combine 5a and −3a to get 2a.
2a−20=10
Add 20 to both sides.
2a=10+20
Add 10 and 20 to get 30.
2a=30
Divide both sides by 2.
a=230
Divide 30 by 2 to get 15.
a=15
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Answer:
3 1/3 ÷ 4/5 = 25/6 =4 1/6
Result in decimals: 4.1666666666667
Answer:
The answer is 5/4
For the first expression, 3 multiplies 3 plus 1 divided by the denominator 3
= 3×3 +1÷3
=10/3
then with the second expression, the division sign changes to a multiplication sign . Immediately it changes,4/5 turns to become 5/4
so now it will be
10/3×5/4
=15/12
=5/4
What is the product of ¼, -½ and -¾?
a
0.0934
b
-0.6543
c
-0.09357
d
0.09375
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Find the perimeter of a triangle with sides
10 inches, 5 inches, and 11 inches in length.
Answer:
Answer is D
Step-by-step explanation:
Basically, when finding the perimeter you add up all the sides. So 10 + 5 + 11 which equals 26.