Gerrie collects honey from a few
beehives. She scoops out the honey
with a small jar that holds of a cup.
Over the last two weeks Gerrie has
filled this jar 158 times. How many
cups of honey has she collected?

The direction of the force is given as = 38.21⁰ while the magnitude is given as 7N

Fr = [tex]\sqrt{F1^2+F2^2+2F1F2CosO}[/tex]

∅ = 60 degrees

= √3² + 5² + 2*3*5cos60

= √49

FR = 7N

7cos∅ = 3 + 5cos∅

7cos ∅ = 3 + 2.5

cos∅ = 5.5/7

∅ = cos⁻¹0.7857

= 38.21⁰

Hence the direction of the force is = 38.21⁰

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Step-by-step explanation:

please mark me as brainlest

Division problem 6/0 as a multiplication problem = 6×1/0

Simplified solution of the problem = ∞

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation.

Given division problem,

6/0

Division is inverse of the multiplication

∴ 6/0 = 6×1/0

Now, simplifying

6 × 1/0 = 6 × ∞ = ∞

Hence, ∞ is the solution of the division problem 6/0 after converting it into multiplication problem 6 × 1/0.

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The orthocenter is the point of intersection of the three altitudes.

An orthocenter can be defined as the point of intersection of altitudes which are perpendicular from the vertex to the opposite sides of a triangle.

Therefore, the orthocenter is the point of intersection of the three altitudes.

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[tex]x^2-x-42=0\\x^2+6x-7x-42=0\\x(x+6)-7(x+6)=0\\(x-7)(x+6)=0\\x=7 \vee x=-6[/tex]

Answer:

The roots are 7 and -6.

Keys:

When you see a ± in a quadratic equation, you will have multiple solutions; more than one.

Step-by-step explanation:

solve the main expression

[tex]x^2-x-42=0\\x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}}{2\cdot \:1}\\\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \left(-42\right)}\\=\sqrt{\left(-1\right)^2+4\cdot \:1\cdot \:42}\\\rightarrow \left(-1\right)^2\\=1^2\\=1\\\rightarrow 4\cdot \:1\cdot \:42\\=168\\=\sqrt{1+168}\\=\sqrt{169}\\=\sqrt{13^2}\\=13\\x_{1,\:2}=\frac{-\left(-1\right)\pm \:13}{2\cdot \:1}[/tex]

solve for x₁

[tex]\frac{-\left(-1\right)+13}{2\cdot \:1}\\=\frac{1+13}{2\cdot \:1}\\=\frac{14}{2\cdot \:1}\\=\frac{14}{2}\\=7[/tex]

solve for x₂

[tex]\frac{-\left(-1\right)-13}{2\cdot \:1}\\=\frac{1-13}{2\cdot \:1}\\=\frac{-12}{2\cdot \:1}\\=\frac{-12}{2}\\=-\frac{12}{2}\\=-6[/tex]

The answer to the drop down menu are:

Congruent angles are known to be two or more angles that are said to be similar or identical to one another. Thus, one can say that their measure of their angles is the same to each other.

Based on the above, the angles given able are congruent to the other angles because they are known to have the same angle (in terms of  degrees and radians).

Therefore, The answer to the drop down menu are:

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Answer:

Hope this helps

Step-by-step explanation:

Answer:

Answer is A 216

Step-by-step explanation:

252×6=1512

1512÷7=216

Answer:

a=1

b=-1

c=1

value of discriminant =-3

quadratic function will intersect x-axis 0 times

Step-by-step explanation:

Answer:

A) 266.39

Step-by-step explanation:

Answer:

a) 266.39 unit^2.

Step-by-step explanation:

Area of the base = 8^2 = 64 .

There are 4 triangular sides.

To find the area of 1 side we need to know the slant height s of the triangle, This can be found using the Pythagoras Theorem

s^2 = 4^2 + 12^2 = 160

s = √160

So the area of 1 side = 1/2 * base * s

= 1/2 * 8 * √160

and

area of 4 sides

=  4 * 1/2 * 8 * √160

= 202.386

So the Surface area of the pyramid

= 64 + 202.386

= 266.386

Answer: I think the answer is A (4,6)

Step-by-step explanation:

Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)

Answer:

(7,-5)

Step-by-step explanation:

See attached graph.

Some ways through which the value of a thing be estimated are:

Given: 11.51 * 12.95, an estimated value of the individual numbers can be made out to be 12 * 13 respectively.

This refers to the rough calculation of the approximate value of a thing, usually a number.

In mathematical calculations, estimates are important as they are used to round off the value of numbers either to the nearest tenth, hundredth, thousandth, etc.

Hence, we can see that your question is incomplete, so I gave you a general overview of estimates to give you a better understanding of the concept.

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Answer: its 218

Step-by-step explanation: you just have to subtract 250 minus 32

Answer:

12.0 ft

Step-by-step explanation:

Answer:

 (-7/9)^4 = 2401/6561

Step-by-step explanation:

The rules of exponents apply.

  (a^b)/(a^c) = a^(b-c) . . . . . quotient rule

  (a^b)^c = a^(bc) . . . . . . . . power rule

__

The first rule of exponents shown above helps us find the value of a/b.

  [tex]\dfrac{a}{b}=\dfrac{\left(\dfrac{-7}{9}\right)^8}{\left(\dfrac{-7}{9}\right)^6}=\left(\dfrac{-7}{9}\right)^{8-6}=\left(\dfrac{-7}{9}\right)^2[/tex]

The second rule of exponents shown above tells us how to find the square.

  [tex]\left(\dfrac{a}{b}\right)^2=\left(\left(\dfrac{-7}{9}\right)^2\right)^2=\left(\dfrac{-7}{9}\right)^{2\times2}\\\\\boxed{\left(\dfrac{a}{b}\right)^2=\left(\dfrac{-7}{9}\right)^4=\dfrac{2401}{6561}}[/tex]

_____

Additional comment

Since -7 is always to an even power in these expressions, its sign can be ignored. The product of an even number of negative values is positive.

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

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Answer:

(1,-4)

Step-by-step explanation:

Erika is working on solving the exponential equation 50^x = 17; The solution is x = 0.7242.

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Erika is working on solving the exponential equation 50^x = 17;

however, she is not quite sure where to start.

The equation is

[tex]50^x = 17\\[/tex]

By taking the log both sides

[tex]log_a b = x\\\\a_x = b[/tex]

By using the base formula

[tex]log_0 y = \dfrac{logy}{log b}[/tex]

So, [tex]log_{50} 17= x\\\\[/tex]

[tex]x = \dfrac{log17}{log 50}[/tex]

x = 0.7242

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Answer:

2/9

Step-by-step explanation:

Answer: 7 apples

Step-by-step explanation:

Considering it's the same person and you only had a typo?

Answer:

a bunch

Step-by-step explanation:

Answer:

it is probably 9 or 12 I apologize apologise in advance if I'm wrong

Step-by-step explanation:

The sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.

An arithmetic progression (AP) is a sequence where the differences between every two consecutive terms are the same.

Here, out of the given option option D follows the definition.

Difference between two consecutive term is equal.

-10 - (-3) = -10 + 3 = -7

-17 - (-10) = -17 + 10 = -7

-24 - (-17) = -24 + 17 = -7

-31 - (-24) = -31 + 24 = -7

Thus, the sequence which shows arithmetic sequence is -3, -10, -17, -24, -31, ....... so the correct option is Option D.

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Answer:

B

Step-by-step explanation:

the y- intercept is the point on the y- axis where the line crosses it

the line crosses the y - axis at (0, - 4 ) ← y- intercept

Answer:

-4

Step-by-step explanation:

if you graph it, we can find out two points are 0,17 and 1,13

we can find the slope from rise/run

-4 is the  slope of the line represented by the equation y + 3 = -4(x-5)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The equation of the line is y + 3 = -4(x-5)

We have to find slope

Let us simplify the equation to slope intercept form to find slope

y+3=-4x+20

y=-4x+17

Hence, -4 is the  slope of the line represented by the equation y + 3 = -4(x-5)

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The probability that you pull a card from a standard deck of 52 and then pull a second card without replacing the first card is 2%

The given parameters are:

Cards = 52

Face card = 12

Ace = 4

The probability of selecting a face card is:

P(Face card) = 12/52

Now, there are 51 cards.

The probability of selecting an ace is:

P(Ace) = 4/51

The required probability is:

P = 12/52 * 4/51

Evaluate

P = 0.0181

Express as percentage

P = 1.81%

Approximate

P = 2%

Hence, the probability is 2%

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Answer:

The correct answer is b.

Step-by-step explanation:

[tex]16 {x}^{2} = - 16[/tex]

[tex] {x}^{2} = - 1[/tex]

No real solutions.