please help asap for this i’ll give 13 points and a thanks

Answer:

Each eraser costed 5 dollars

Step-by-step explanation:

25.00 - 5.00= 20.00 and 20.00 ÷ 4=5 and 5x4=20

Answer:

B.) About 200 minutes napping

Step-by-step explanation:

74+56+128+38=296

500-296=204

204 is about 200

Answer:

1000

Step-by-step explanation:

answer is 1000 miles per hour

=πr^2h

=π(5)^2*11

=25*11π

=275π yd^3

The behavior of the given parabola is that:

Option A: vertex: (–3, 4); parabola opens up

In mathematics, a parabola is defined as a plane curve which is mirror-symmetrical and is also referred to as approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.'

According to the given problem, the equation is given as:

y - 4 = 2(x + 3)²

Dividing both sides by 2 gives us:

(y - 4)/2 = (x + 3)²

Comparing that with the general form of equation of a parabola in vertex form gives us:

Vertex : (-3 , 4)

Hence, we can conclude that the Parabola opens up.

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Answer:

y-intercept=–1

slope=3

and the final formula=

y=3x–1

Step-by-step explanation:

y=mx+b

\( m = \frac{y2 - y1}{x2 - x1} = = > \\ m = \frac{5 - 2}{2 - 1} = = > m = 3 \)

\(y = 3x + b = = > - 1 = 3(0) + b = = > \\b = - 1\)

Step-by-step explanation:

4√2 . √2

= 4 * 2

= 8

3√7 - 2√7

= √7 ( 3 - 2 )

= √7 ( 1 )

= √7

√7 / 2√7 = 1 / 2

2√5 . 2√5

= 2 * 2 . √5 *√5

= 4 * 5

= 20

Answer:

0

Step-by-step explanation:

If this helps please put brainliest

Answer:

log₇t = ln t / ln 7

Step-by-step explanation:

Given:

log₇t

Computation:

We know that

logₐb = log b / log a

So,

log₇t = log t / log 7

= log₇t = ln t / ln 7

Answer:

the answer is A

Step-by-step explanation:

y-4 = 3 (x-1)

The reason why the United States is destined for the "onward march, according to O'Sullivan, is because of its unique history, geography, and political system.

According to O'Sullivan, it is believed that the United States was destined for an "onward march" due to it's unique in history, geography, and the political system.

O'Sullivan is of the opinion that the US's history of westward expansion and settlement created a culture of rugged individualism and self-reliance that made Americans uniquely suited to succeed in a rapidly changing world.

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d(sin(y)cos(x))/dx = cos(y)cos(x) * g'(x) - sin(y)sin(x)

To find the derivative d/dx of the function sin(y)cos(x) where y = g(x), we'll use the product rule and chain rule. The product rule states that if you have two functions, u(x) and v(x), then the derivative of their product is given by:

d(uv)/dx = u'(x)v(x) + u(x)v'(x)

Let u(x) = sin(y) and v(x) = cos(x). We need to find the derivatives u'(x) and v'(x). For u'(x), we'll use the chain rule, which states that:

d(u)/dx = du/dy * dy/dx

Since u(x) = sin(y), du/dy = cos(y). And since y = g(x), dy/dx = g'(x). Therefore, u'(x) = cos(y) * g'(x).

Now, for v'(x), we have v(x) = cos(x), so v'(x) = -sin(x).

Now, we can apply the product rule:

d(sin(y)cos(x))/dx = (cos(y) * g'(x)) * cos(x) + sin(y) * (-sin(x))

Simplifying, we get:

d(sin(y)cos(x))/dx = cos(y)cos(x) * g'(x) - sin(y)sin(x)

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The derivative value of a function say f'(x), defined as f(x) = sin y + ycosx, is equals to the g '(x) [ cos(g(x)) + cosx ] - g(x) sinx.

Derivative of a function, in mathematics, is defined as the rate of change of a function with respect to a variable. We have a function say f(x) = six + ycosx , where y = g(x). We have to determine the derivative of f(x). Differentiating the function f(x), \(\frac{ d ( f(x))}{dx} = \frac{ d (siny + y \: cosx)}{dx} \)

Using the linear property of differentiation, \(= \frac{\: d( ycosx)}{dx} + \frac{d(siny)}{dx}\)

\(= cosx \frac{d y}{dx} - y sinx + cosy frac{dy}{dx}\) ( using product rule )

Since, \( \frac{d( f( g(x)))}{dx} = f'( g(x)) g'(x)\) ; (uv)' = u'v + uv'. Now,

=> (cosy) g '(x) + [ g '(x) cosx - g(x) sinx]

=> g '(x) [ cosy + cosx ] - g(x) sinx

Hence, required value is g '(x) [ cos(g(x)) + cosx ] - g(x) sinx.

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mark me as brainliest if I was correct

Answer:

y = -3x + 7

Step-by-step explanation:

Answer:

24 (whatever units you're using)

Step-by-step explanation:

distance can never be negative so from 16 to 0 is 16. it then goes down 8 which is another 8 units

Answer:

27

Step-by-step explanation:

Answer:

pls give me points

Alyssa buys a 5 pound bag of rocks for a fish tank. She uses 1 1/8 pounds for a small fish bowl. So we need to find how much is left.

5 - 1 1/8

=40/8 - 9/8

=31/8

=3 7/8 pounds of rocks left.

Therefore, 3 7/8 pounds of rocks are remaining. The answer can be verified as follows:

If we add 1 1/8 pounds of rocks used to 3 7/8 pounds of rocks remaining, then we will get 5 pounds, which is the total amount of rocks Alyssa initially purchased. This is because the addition of the quantities of the rocks used and the remaining rocks should always equal the total quantity of rocks.

Therefore, our answer is correct and can be supported by this check. Alyssa bought a 5 pound bag of rocks for a fish tank and used 1 1/8 pounds of it for a small fish bowl.

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Answer:

no

Step-by-step explanation:

a^2 +b^2 = c^2

c^2 - a^2 = b^2

12^2 - 5^2 = b^2

144-25 = b^2

199 = b^2

sqrt(119) = b

10.9 = b

a = distance from the wall = 5

c = length of the ladder = 12

Answer:

it's answer is last option

42* 3 = B.

Answer: d. $264 hope this helps :)

Step-by-step explanation:12x22=264

(a) By plugging in different values for x1, we can plot the indifference curves passing through the given points (2, 2), (1, 2), and (4, 2).

(b) The shape of the indifference curves shows convexity.

(c) The property used to determine this is the non-satiation property of preferences.

(d) The Walrasian demand may not always be single-valued.

(e) Receiving the voucher makes the consumer better-off .

(f) The cash payment allows the consumer to maximize utility by making trade-offs

For 4x1 + x2 = x1 + 2x2, rearranging the equation gives x2 = 3x1, representing the linear part of the indifference curves.

For x1 + 2x2 = 4x1 + x2, rearranging the equation gives x2 = 3x1, representing the kink in the indifference curves.

By substituting different values for x1, we can plot the indifference curves. They will be upward sloping straight lines with a kink at x2 = 3x1.

(b) Properties of the preferences deduced from the shape of indifference curves and utility function:

Diminishing Marginal Rate of Substitution (MRS): Indifference curves are convex, indicating diminishing MRS. The consumer is willing to give up less of one good as they consume more of it, holding the other good constant.

Non-Satiation: Indifference curves slope upwards, showing that the consumer prefers more of both goods. They always prefer bundles with higher quantities.

Convex Preferences: The kink in the indifference curves indicates convexity, implying risk aversion. The consumer is willing to trade goods at different rates depending on the initial allocation.

(c) UMP does not have a solution when Pk = 0 and X -> R2+. This violates the assumption of finite resources and prices required for utility maximization. The property used is non-satiation, as a consumer will always choose an infinite quantity of goods when they are available at zero price.

(d) Walrasian demand depends on relative prices:

If p1 = p2 > 4, the maximizing bundle lies on the linear portion of indifference curves, where x2 = 3x1.

If 4 < p1 = p2 < 1/2, the maximizing bundle lies on the linear portion of indifference curves but at lower x1 and x2.

If p1 = p2 < 1/2, the maximizing bundle lies at the kink point where x1 = x2.

Walrasian demand may not be single-valued due to the shape of indifference curves and the kink point, allowing for multiple optimal solutions based on relative prices.

(e) Given p1 = p2 = 1 and w = $60, the initial budget set is x1 + x2 = 60. With a $10 voucher for good 1, the new budget set becomes x1 + x2 = 70. Since p1 = 1, the consumer spends the voucher on good 1, resulting in x1 = 20 and x2 = 40. Receiving the voucher improves the consumer's welfare by allowing more consumption of good 1 without reducing good 2.

(f) If given the choice between a $10 cash payment and a $10 voucher for good 1 only, the consumer would choose the cash payment. It provides flexibility to allocate the funds based on individual preferences. The answer remains the same even if the assistance were $30, as the cash payment still allows optimal allocation based on preferences. Cash payment offers greater utility-maximizing options compared to the voucher, which restricts choices.

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Answer:

(2, -7)

Step-by-step explanation:

The Taylor polynomials t2(x) and t3(x) centered at x=4 for f(x)=ln(x+1) are:

t2(x) = ln(5) + (x-4)/(5) - ((x-4)^2)/(50)

t3(x) = ln(5) + (x-4)/(5) - ((x-4)^2)/(50) + ((x-4)^3)/(150)

The general formula for the Taylor polynomial of degree n centered at a for a function f(x) is:

t_n(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + ... + f^n(a)(x-a)^n/n!

To find the Taylor polynomials t2(x) and t3(x) for f(x) = ln(x+1) centered at x=4, we need to evaluate the function and its derivatives at x=4.

f(4) = ln(5)

f'(x) = 1/(x+1), so f'(4) = 1/5

f''(x) = -1/(x+1)^2, so f''(4) = -1/25

f'''(x) = 2/(x+1)^3, so f'''(4) = 2/125

Using these values, we can plug them into the general formula and simplify to get:

t2(x) = ln(5) + (x-4)/(5) - ((x-4)^2)/(50)

t3(x) = ln(5) + (x-4)/(5) - ((x-4)^2)/(50) + ((x-4)^3)/(150)

Therefore, the Taylor polynomials t2(x) and t3(x) centered at x=4 for f(x)=ln(x+1) are ln(5) + (x-4)/(5) - ((x-4)^2)/(50) and ln(5) + (x-4)/(5) - ((x-4)^2)/(50) + ((x-4)^3)/(150), respectively.

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The diameter of the hemisphere with a volume of 557 m³ is approximately 12.8 m, to the nearest tenth of a meter.

The volume of a hemisphere can be calculated using the formula V = (2/3)πr³, where V is the volume and r is the radius. Given that the volume of the hemisphere is 557 m³, we can find the radius by solving for r:

557 = (2/3)πr³

To find the radius, first, we need to isolate r³ by multiplying both sides by 3/(2π):

r³ = (3 * 557) / (2 * π)

r³ ≈ 265.18

Now, take the cube root of both sides to find the radius:

r ≈ 6.4 m

To find the diameter, simply multiply the radius by 2:

d ≈ 2 * 6.4
d ≈ 12.8 m

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Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

∠ 6 = 62°

Step-by-step explanation:

∠ 6 and ∠ 8 are corresponding angles and are congruent , so

∠ 6 = ∠ 8 = 62°

Answer:

480 pennies after 2000

Answer:

480

Step-by-step explanation:

25% of the pennies are dated before 1980.

35% are dated from 1980 to 2000, so also before 2000.

Total percent of pennies dated before 2000:

25% + 35% = 60%

100% - 60% = 40%

Percent of pennies dated after 2000: 40%

40% of 1,200 = 40% × 1,200 = 0.4 × 1,200 = 480

Answer: 480

Answer:

17/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2/3p + 3

p = 3/5

Step 2: Evaluate