A temperature of F degrees Fahrenheit is the same as
5
9
(F–32) degrees Celsius. According to weather records, the highest recorded temperature in the state of Ohio is 113 degrees Fahrenheit

there is 128 fluid ounces per gallon so 1.5 gallons = 1.5 x 128 = 192 fluid ounces

Scotts cap holds 3 ounces so 192/3 = 64

Nikkis cap holds 4 ounces so 192/4 = 48

64-48 = 16 more caps for Scott

Answer:

There are 128 ounces in 1 gallon

Step-by-step explanation:

1,5gallons= 192 ounces

1,5gallons= 192 ouncesScott = 3 oz per lid

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergent

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 192 divided by 4 = 48 1/2 lids

1,5gallons= 192 ouncesScott = 3 oz per lid192 divided by 3 = 64 lids of detergentNikki = 4oz per lid 192 divided by 4 = 48 1/2 lids64 - 48.5 = 15.5 lids more

so, since we know that the derivative is simply the equation we use to get the slope at any point on the curve, thus df/dx will be that.

now, we know that g(x) is already in slope-intercept form, so it has a slope of "4", hmmm what's "x" at that instance?

\(f(x)=-x^2+8x+20\implies \cfrac{df}{dx}=-2x+8 \\\\[-0.35em] ~\dotfill\\\\ g(x)=\stackrel{\stackrel{m}{\downarrow }}{4}x+k\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\\\ 4~~ = ~~-2x+8\implies 2=x\)

well, now we know that x = 2, hmmm what's "y" at that instance? well, our "y" will be simply f(2) = g(x), because g(x) is touching f(x) at that point on the curve.

\(f(2)=-(2)^2+8(2)+20\implies f(2)=32 \\\\[-0.35em] ~\dotfill\\\\ g(x)=4x+k\implies 32=4(2)+k\implies 32=8+k\implies \boxed{24=k}\)

Check the picture below.

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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Answer:

A is false

Step-by-step explanation:

a). 78 x 0.25 = 19.5

b). 60 x 0.30 = 18

c). 40 x 0.45 = 18

d). 20 x 0.90 = 18

The function \(f(x) = e^{z^2}\) does not have an elementary antiderivative, which means we cannot find an exact expression for its antiderivative using elementary functions.

However, we can approximate the definite integral of this function using numerical methods. In this case, we need to find the approximation for T6 and the value of \(\int {(e^{z^2})} \, dx\) from -2 to 2 using the methods described.

To approximate the integral of \(f(x) = e^{z^2}\)from -2 to 2, we can use numerical methods such as numerical integration techniques.

One common numerical integration method is Simpson's rule, which provides a good approximation for definite integrals.

To find T6, we divide the interval from -2 to 2 into 6 subintervals of equal width.

We evaluate the function at the endpoints and the midpoints of these subintervals, multiply the function values by the corresponding weights, and sum them to get the approximation for the integral.

The formula for Simpson's rule can be expressed as

T6 = (h/3)(f(a) + 4f(a + h) + 2f(a + 2h) + 4f(a + 3h) + 2f(a + 4h) + 4f(a + 5h) + f(b)), where h is the width of each subinterval (h = (b - a)/6) and a and b are the limits of integration.

To find the value of \(\int {(e^{z^2})} \, dx\) dx from -2 to 2, we substitute z^2 for x and apply Simpson's rule with the appropriate limits and function evaluations. We can use numerical methods or software to perform the calculations and round the result to at least 6 decimal places.

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The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:

B. ∠ABC and ∠CBD are supplementary.

D. ∠ABC and ∠CBD are adjacent angles.

In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.

According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:

∠ABC + ∠CBD = 180° (supplementary angles)

m∠ABC ≅ m∠CBD (adjacent angles)

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The given equation "x=y√−1" seems to be incomplete or contains a typographical error.

To calculate the area bounded above by the curve x=y√−1 and x=−59y^7 and below by the x-axis, we need to find the limits of integration and set up the definite integral.

First, we need to find the intersection points of the two curves. Equating y√−1 and −59y^7, we can solve for y to find the y-values at the intersection points. Then we can set up the integral as the definite integral from the lower limit to the upper limit of the curve y√−1. The limits of integration will be the y-values of the intersection points.

Once we have set up the integral, we can integrate the function y√−1 with respect to y and evaluate the result. This will give us the area bounded above by the curve x=y√−1 and x=−59y^7 and below by the x-axis.

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Answer:

£100.98

Step-by-step explanation:

Step 1: find total price of tickets

Total price of tickets = 6 adults (£12) + 3 child (£6) = 6(12) + 3(6)

= 72 + 18

Total of tickets = £90

Step 2: Find the extra added 10% booking fee

Booking fee added = 10% of £90

= 10/100 × 90

= 0.1 × 90

Adding booking fee = £9

Step 3: Calculate the added 2% that would be added for using credit card

Cheryl would be paying £99 with her credit card (price of tickets + added booking fee = £90 + £9)

2% of £99 = 2/100 × 99

Added credit card charges = 0.02 × 99 = £1.98

Step 4: Calculate the total charge to be paid by Cheryl if she uses her credit card for the payment

Total charge = cost of tickets + added booking fee + credit card charges

= £90 + £9 + £1.98

= £100.98

Answer:

100.98

Step-by-step explanation:

Answer:

it’s b

Step-by-step explanation:

Answer:

x = 6.5

Step-by-step explanation:

The image below shows that the equation y = 2x - 2 (which has a slope of 2) passes the the points (3, 4) and (6.5, 11); when x = 6.5

Hope this helps! :)

Answer:

\(y = 2x - 2 \\ y = mx + c\)

When the point is (3,4) and slope=2

\(4 = 2 \times 3 + c \\ 4 = 6 + c \\ \boxed{c = - 2}\)

Now, when the point is (x,11) and slope=2

\(11 = 2x - 2 \\ 2x = 13 \\ x =\frac{13}{2} \\ \boxed{x = 6.5 }\)

we should reject H0 if the standardized test statistic is greater than 1.645

Given a sample size of n = 48 and a level of significance of α = 0.1, we can use the z-test to test the claim μ ≤ 25.6.

Since the level of significance is α = 0.1, we need to find the critical value corresponding to a 90% confidence level (1 - α).

The critical value for a 90% confidence level is 1.645.

what is statistic?

A statistic is a numerical value or measure that summarizes a specific characteristic or property of a sample or population. It is commonly used in statistics and research to provide information about a data set or to make inferences about a larger population based on the observed sample.

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When meters are longer and more complex, we use the term "kilometer."

A kilometer is a unit of length in the metric system, and it is equal to 1,000 meters. The prefix "kilo-" denotes a factor of 1,000, so when we use the term "kilometer," we are referring to a measurement that is 1,000 times longer than a meter.

The use of kilometers is common in various contexts where longer distances are involved.

For example, when measuring the distance between cities or countries, or when discussing the length of roads, highways, or large-scale projects, kilometers are often used as the preferred unit of measurement.

Kilometers provide a convenient way to express distances that would be cumbersome to represent in meters. They allow for easier visualization and comprehension of larger distances, as they condense the number of digits required to express the measurement.

Additionally, the use of kilometers aligns with the decimal-based nature of the metric system, facilitating conversions and calculations.

In summary, the term "kilometer" is employed when meters become longer and more complex, representing a unit of measurement that is 1,000 times greater than a meter and facilitating the expression of larger distances in a more manageable and efficient manner.

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The quantity of heat absorbed by the water is 156,750 J.

The quantity of heat absorbed by the water is calculated as follows;

Q = mcΔθ

where;

Q = 500 x 4.18 x (100 - 25)

Q = 156,750 J

Thus, the quantity of heat absorbed by the water is 156,750 J.

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Answer: 8,064

Step-by-step explanation:

12 times 3 = 36

36 times 7 = 252

252 times 4 =1,008

1,008 times 8 = 8,064

Answer:

D

Step-by-step explanation:

Okay, so the best way to find is too plug in the answer choices.

to find the mean you: add all the numbers up and then, you divide it by however many numbers there are.

minimum meaning exactly 84 no greater!

Start with letter choice A

84+92+84+75+70+81=486

486/6=81 which is  below minimum

Next is letter choice B

84+92+84+75+70+84=489

84/6=81.5 which is below minimum

Next is letter choice C

84+92+84+75+70+95=500

500/6=83.3 which is below minimum

Next is letter choice D

84+92+84+75+70+99=504

504/6=84 which is the correct answer

pls mark me brainliest

Answer:

D. 0.00003471

Step-by-step explanation:

Answer:

81,620,948

Step-by-step explanation:

this what you need?

The answer is B. x = 12

First, you must set up the equation.

\(4x+11=6x-13\)

Then, you must subtract 6x on both sides.

\(-2x+11=-13\)

Next, subtract 11 on both sides.

\(-2x=-24\)

Finally, divide -2 on both sides.

\(x=12\)

Answer: He will miss 57 out of 200 shots

so the answer is 200-57=

**143**

Step-by-step explanation:  The REAL ratio is 2:7 (2 out of 7 shots will miss ---- referring to the hint given)

Solution:

Since

2 : 7 = X : 200

Then we know

2/7 = X/200

Multiplying both sides by 200 cancels on the right

200 × (2/7) = (X/200) × 200

200 × (2/7) = X

Then solving for X

X = 200 × (2/7)

X = 57.142857142857

Therefore

2 : 7 = 57.142857142857 : 200

Answer:

4.444

Step-by-step explanation:

mark me brainliest plz

The statement "The equation ax=0 gives an explicit description of its solution set" is true.

When the equation ax=0 is given, the solution set is explicitly described as x = 0.

In other words, the only solution to the equation is x being equal to zero. This can be verified by dividing both sides of the equation by a (assuming a is non-zero), which yields x = 0/a = 0.

Therefore, the solution set is explicitly described as x = 0.

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The values of sides and angle are;

1. x = 12.7

2. x = 15.2

3. x = 40. 36 degrees

The different trigonometric identities and their ratios.

sin θ = opposite/hypotenuse

tan θ = opposite/adjacent

cos θ = adjacent/hypotenuse

From the information given, we have that;

using the cosine identity, we have;

cos 45 = 9/x

cross multiply the values

x = 9/0.7071

x = 12. 7

Using the sine identity,

sin 72 = x/16

Find the value

x = 16(0.9510)

x = 15. 2

Using the cosine identity, we have;

cos x = 32/42

divide the values

cos x = 0.7619

x = 40. 36 degrees

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Answer:

False

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

21/3 = 7

Answer:

18√2

Step-by-step explanation:

2√3 x 3√6

2 x 3 x (√6 x √3)

=> 6√18

=> 6√(3x3x2)

=> 6 x 3√2

=> 18√2

Answer: 3 x 11 = 33

Step-by-step explanation: Hope it helped!

ok

Result

f(7) = 51

Answer:

why did this get taking down?

Part A

If the number is n, then the expression is 7n+6.

Part B

Three times the sum of a number and 8.