HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35

Answer:

Step-by-step explanation:

[tex]d(t)=(t^2+3)e^\frac{-1}{2} \\d'(t)=2t e^{-\frac{1}{2} }\\it~ is~ increasing ~if~d'(t)>0\\e^{-\frac{1}{2} } =\frac{1}{e^\frac{1}{2} } >0\\so~t>0\\and~decreasing~if~t<0\\[/tex]

so it is concave upward at t=0

Answer:

How can we answer it without question?

The formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

We can use first and second derivative tests to determine all coefficients of the function described in statement so that the point given is an absolute minimum. The expressions for such tests are introduced below:

FDT

[tex]-a\cdot e^{-x}+b = 0[/tex] (1)

[tex]b = a\cdot e^{-x}[/tex]

SDT

[tex]y''=a\cdot e^{-x}[/tex] (2)

Where [tex]y'' > 0[/tex].

If we know that [tex](x, y) = (1, 10)[/tex], then we have the following system:

[tex]10 = a\cdot e^{-1}+b[/tex] (3)

[tex]b = a\cdot e^{-1}[/tex] (4)

[tex]y'' = a\cdot e^{-1}[/tex] (5)

By (4) in (3):

[tex]10 = 2\cdot a\cdot e^{-1}[/tex]

[tex]a = \frac{10}{2\cdot e^{-1}}[/tex]

[tex]a = 5\cdot e[/tex]

By (5) we prove that [tex]y'' > 0[/tex], and we get the value of [tex]b[/tex] by (4):

[tex]b = 5[/tex]

Thus, the formula for a function of the form [tex]y = a\cdot e^{-x} + b\cdot x[/tex] with global minimum at [tex](1, 10)[/tex] is [tex]y = 5\cdot e^{1-x}+5\cdot x[/tex].

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Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

[tex]x = \frac{9000}{1800} [/tex]

[tex]x = 5[/tex]

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

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Answer:

32

Step-by-step explanation:

x = -2

-x^3 - 3x^2 + 4

-(-2)^3+6^2+4

8+36+4=48

Hope this helps :)

[tex]\text{Area of parallelogram} = \text{Base}~ \times~\text{Height} = (4a^3b^4)(6a^2 b^5)=24a^5 b^9[/tex]

40%

6/15 is 0.4. Multiplied by 100, that makes 40%.

Answer:

yes!

Step-by-step explanation:

Answer:

CBA would be the sixth

Step-by-step explanation:

Answer:

carlas had the better deal

Step-by-step explanation:

if you buy an suitcase at $85 with 20% discount, you will pay 85 - 17 = 68 dollars.

if you buy an suitcase at $75 with 15% discount, you will pay 75 - 11.25 = 63.75

divide 20% by a 100 =0.2 than times 0.2 by $85 which will equal 17 subtract 17 from $85

do the same for the second one.

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

Answer:

28.35 each adult

Step-by-step explanation:

Step-by-step explanation:

168 hours I guess

have a food day

Answer: Comparing a whole numbers and a decimals:

First let’s talk about the similarities of comparing whole numbers and decimals:

=> their place value always matters.

Now, let’s proceed to their differences

=> in comparing whole numbers, we don’t care about the value to the nearest decimal points or the value of ones. We always look at the highest value, not unless the highest values are all the same.

=> In comparing decimals, the value to the nearest decimal points or the tenths place value always matters.

Step-by-step explanation:

The number of calories in 14 brownies is 233 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

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Answer:

THX for points XD

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

make the equation

2x+9x-1+40=6(x-11)

simplify

11x+39=6x-66

solve

5x=-105

x=-21

9514 1404 393

Answer:

Step-by-step explanation:

An exponential function will describe growth if the base of the (positive) exponent is greater than 1. It will describe decay of the base is less than 1.

y = 250(1 + 0.004)^t . . . . . 1.004 > 1   ⇒   growth

y = 426(0.98)^t . . . . . . . . . 0.98 < 1   ⇒   decay

y = 12,000(1/2) ^t . . . . . . . 1/2 < 1   ⇒   decay

Answer:

$13,509.

Step-by-step explanation:

After each year the vehicle is worth 95% of the previous value.

95% = 0.95.

So after 12 years the approximate value

= 25000 * 0.95^12

= $13,509.

Answer:

  1330.5 cm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . . for radius r and height h

The radius of the given cylinder is 1/2(11 cm) = 5.5 cm. Filling in the formula values, we have ...

  V = π(5.5 cm)²(14 cm) = 423.5π cm³ ≈ 1330.5 cm³

The volume of the cylinder is about 1330.5 cm³.

Answer:

1330.5

Step-by-step explanation:

Radius is half of diameter (11), so 5.5 was the other number I plugged in.

Answer:

$20

Step-by-step explanation:

correct me if im wrong(┬┬﹏┬┬)

The z-test compares the two sample to determine the existence of a

difference in the two proportion.

Reasons:

The given parameter are;

Number of women, n₁ = 120 women

Number of men, n₂ = 150 men

The population size = 150,000

Percentage of women that are smokers in population, [tex]\hat p_1[/tex] = 25%

Percentage of men that are smokers in population, [tex]\hat p_2[/tex] = 37%

The Z statistic is given as follows;

[tex]\displaystyle Z= \mathbf{\frac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\frac{1}{n_{1}}+\frac{1}{n_{2}} \right )}}}[/tex]

Number of men = 0.37 × 150 = 55.5

Number of women = 0.25 × 120 = 30

[tex]\displaystyle \hat p = \frac{55.5 + 30}{150 + 120} = \frac{19}{60}[/tex]

Which gives;

[tex]\displaystyle Z=\frac{0.25-0.37}{\sqrt{\frac{19}{60} (1-\frac{19}{60} )\left (\frac{1}{120}+\frac{1}{150} \right )}} \approx -2.106[/tex]

The Z-statistic is approximately -2.106

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Answer:

3m-8/7m+14

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = children

a = adults

2200 people enter the zoo mean :

c + a = 2200

$4,550.00 is collected mean :

1.5 c + 4 a = 4550

Now you must solve system:

c + a = 2200

1.5 c + 4 a = 4550

c + a = 2200 Subtract c to both sides

c + a - c = 2200 - c

a = 2200 - c

1.5 c + 4 a = 4550

1.5 c + 4 ( 2200 - c ) = 4550

1.5 * c + 4 * 2200 - 4 c = 4550

1.5 * c + 8800 - 4 c = 4550

- 2.5 c + 8800 = 4550 Subtract 8800 to both sides

- 2.5 c + 8800 - 8800 = 4550 - 8800

- 2.5 c = - 4250 Divide both sides by - 2.5

c = - 4250 / - 2.5

c = 1700

a = 2200 - c = 2200 - 1700 = 500

1700 children and 500 adults

Proof :

c + a = 1700 = 2200

$ 1.5 * c + $ 4 * a =

$ 1.5 * 1700 + $ 4 * 500 =

$ 2550 + $ 2000 = $ 4550

The number of children and the number of adults are 1600 and 800, respectively.

The allocation of weights to the relevant variables that produce the calculation's optimum is referred to as a direct consequence.

A nearby zoo charges $1.50 for kids and $3.00 for adults to enter. 2400 persons visit the zoo on a certain day, and $4,800.00 is gathered.

Let x be the number of children and y be the number of adults. Then the equation is written as,

x + y = 2400           ...1

1.5x + 3y = 4800

x + 2y = 3200    ...2

Subtract equation 1 from equation 1, then

2y - y = 3200 - 2400

y = 800

Then the value of x is calculated as,

x + 800 = 2400

x = 2400 - 800

x = 1600

The number of children and the number of adults are 1600 and 800, respectively.

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mx + 5 = (x - 5) / m

mx + 5 = x/m - 5/mAnswer:

Step-by-step explanation:

first find the inverse equation

y = mx + 5

y - 5 = mx

(y - 5) / m = x

(x - 5) / m = f⁻ˣ(x)

The original function is a line with slope m and y intercept of 5

The inverse function is a line with a slope 1/m and x intercept of 5

so the common line is where m = 1/m

m = 1/m

m² = 1

m = ± 1

The only line with a common slope between these two options is when

m = -1 and y intercept is 5

The demand is decreasing at the rate of 2units per week.

Given the price p (in dollars) and the demand x (in thousands of units) of a commodity satisfy the demand equation 6p+x+xp=94

Differentiating the function with respect to time will result in;

[tex]6\frac{dp}{dt}+\frac{dx}{dt} + x \frac{dp}{dt} + p\frac{dx}{dt} = 0[/tex]

Given the following paramters

p = $6

dp/dt = $2/wk

Substitute the given parameters into the formula to have:

[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0[/tex]

To get the demand x, we will simply substitute  p = 9 into the expression to have:

6(9)+x+9x=94

10x+54 = 94

10x = 94 - 54

10x = 40

x = 4

Substitute x = 4 into the derivative to have:

[tex]6(2)+\frac{dx}{dt} + 2x + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 2(4) + 9\frac{dx}{dt} = 0\\6(2)+\frac{dx}{dt} + 8 + 9\frac{dx}{dt} = 0\\20 + 10\frac{dx}{dt} =0\\10\frac{dx}{dt} =-20\\\frac{dx}{dt} =\frac{-20}{10}\\\frac{dx}{dt} =-\$2/wk[/tex]

Hence the demand is decreasing at the rate of 2units per week.

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