Write an algebraic equation that models the following statement.

Twice the sum of 'x' and '4' is six less than the quotient of 'q' and '9'.

Step-by-step explanation:

See image below

So, the length of open rectangle box is 4cm, width is 4cm, and height is 2cm, with Surface Area of 48cm^2.

it is an Open box, so there is no top

SA (Surface area) = 2*l*h + 2*w*h + l*w

Volume(V) = l*w*h = 32cm^3

h = 32/(w*l)

SA = 2*l*32/(w*l) + 2*w*32/(w*l) + l*w

SA = 64/w + 64/l + l*w

Find minimum SA: take partial derivatives to get critical point(s)

SAw = -64/w^2 + l

SAl = -64/l^2 + w

Both the partials have to be 0, so...

0 = -64/w^2 + l and 0 = -64/l^2 + w

64/w^2 = l

0 = -64/(64/w^2)^2 + w (plug into second equation)

0 = -w^4/64 + w

0 = w(1-w^3/64)

1 = w^3/64 or 0 = w (impossible answer)

64 = w^3

4 = w

Plug w back into 64/w^2 = l

64/4^2 = l

4 = l

Plug w and l back into h = 32/(w*l)

h = 32/(4*4)

h = 2

The Surface Area:2*l*h + 2*w*h + l*w

SA = 2*4*2 + 2*4*2 + 4*4

SA = 48

So the answer is length = 4cm, width = 4cm, and height = 2cm, with Surface Area of 48cm^2

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Answer:

the 2nd one

Step-by-step explanation:

The bag contains $4.60 in coins.

What are coins?

Let's use P, N, D, and Q to represent the number of pennies, nickels, dimes, and quarters, respectively, in the bag.

We know that the total number of coins is 50, so:

P + N + D + Q = 50

We also know that 10% of the coins are pennies, so:

P = 0.1(50)

P = 5

There are 2 more nickels than pennies, so:

N = P + 2

N = 5 + 2

N = 7

Now we can use this information to find the number of dimes and quarters. Since there are 50 coins in total, we can substitute the values we have found for P and N into the first equation:

P + N + D + Q = 50

5 + 7 + D + Q = 50

12 + D + Q = 50

D + Q = 38

We also know the values of P and N, so we can find the total value of all the coins in the bag:

Total value = (value of pennies) + (value of nickels) + (value of dimes) + (value of quarters)

Total value = (5 cents x 5) + (7 cents x 5) + (10 cents x D) + (25 cents x Q)

Total value = 25 + 35 + 10D + 25Q

We can substitute D + Q = 38 into this equation to get:

Total value = 25 + 35 + 10(D + Q)

Total value = 60 + 10(38)

Total value = 460 cents, or $4.60

Therefore, the bag contains $4.60 in coins.

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The sampling probability refers to the property of an element of a given population in its given probability to become a part of a sample during the drawing of a single sample.

It is a defined and distinguished technique that is based on the principle of random selection to study a certain part of a concerning population. Furthermore, in this specific method, every member of the population has the possibility of having an equal chance of being chosen for the sample.

One backlash in the field of using sampling probability is it's very time-consuming and has a higher expenditure in comparison to other methods.

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Step-by-step explanation:

Q3, B

Q4, I'm not too sure about this one but I think its D

Dont use this website

Its a sham

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

3240°

Step-by-step explanation:

For a regular icosagon,

sum of interior angles measure=180(n-2)°

180(20-2)

180(18)=3240°

The reward of 600 points will be earned by spending the amount of $300.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that, Omar earns 800 reward points for spending 300 dollars.

The amount of money spent to earn 600 reward points will be calculated as,

800 reward points = $300 spending

1 reward point = $300 / 800 spending

600 reward point = ($300 x 600) / 800

600 reward points = $225

Therefore, the reward of 600 points will be earned by spending the amount of $300.

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The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.

Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.

The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.

By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.

h(x) = x² + 3x - 8 = 0

We may factor the left side of the equation to find x:

x² + 3x - 8 = (x-2)(x+4) = 0

We set each factor to zero and solve for x to discover the zeroes:

x-2 = 0 or x+4 = 0

x = 2 or x = -4

Consequently, the function's zeros are x = 2 and x = -4.

So, A is the right response. x = -4 and x = 2

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The complete question is

What are the zeros of the function h (x) = x² + 3x - 8?

A. x = -4 and x = -2

B. x= -8 and x = 2

C. x = -2 and x = 8

D. x = 2 and x = 8

The minimum unit cost amount is 17,506.

The minimum unit cost amount of the X-ray machines can be determined by taking the derivative of the cost function C(x) = 0.5x^2 - 280x + 52,506, and then setting that derivative equal to 0. This gives us an equation of x = 560. Plugging this value back into the original cost function gives us C(560) = 17,506, which is the minimum unit cost.The minimum unit cost amount of the X-ray machines can be determined by taking the derivative of the cost function C(x) = 0.5x^2 - 280x + 52,506, and then setting that derivative equal to 0.

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The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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Answer:

It will have a rise of 20.

Step-by-step explanation:

We can use ratios:

Rise : Run = 16 : 4 = 4 : 1 = 20 : 5

Hope this helps!

Answer: A. Always study with a group of friends

Step-by-step explanation:

just had that same question and im 100% right ; )

The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices is d. chord.

The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices. Let's examine each option in the context of geometry:

a. A minor arc: A minor arc is a portion of a circle that measures less than 180 degrees. It is not the most specific term because it encompasses a range of arc sizes smaller than a semicircle, but it does not provide a narrower definition than other options.

b. A major arc: A major arc is a portion of a circle that measures more than 180 degrees. Similar to a minor arc, it does not provide the narrowest definition among the options.

c. A semicircle: A semicircle is a half of a circle, dividing it into two equal halves. This option is more specific than both minor and major arcs because it refers to a precise geometric shape with a 180-degree angle. However, there is one more option left to consider.

d. A chord: A chord is a straight line segment that connects two points on a circle. It is the most specific option among the choices because it refers to a specific geometric element—a line segment—within a circle.

So, The option that most specifically describes a geometric concept is:d. a chord.

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A correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.

A correlation can be defined as the relationship that exists between two variables when one of them is related to the other in some way.

It is also a measure that expresses the extent to which two variables are closely or linearly related which entails that they change together at a constant time.

Hence, correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.

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Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

x= 113

y= 67

z= 49

Step-by-step explanation:

a triangle equals to 180° so lets start with the triangle that has two given degrees

28 + 39 + x = 180 solve

x = 113

no we can find y by using x + y = 180 since it's a straight line

we know the value of x so 113 + y = 180. solve.

y= 67

now do the same thing we did from the start since we have two given degrees on the other triangle.

67 + 64 + z = 180

z= 49

According to the question The rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

Let's denote the distance between the police car and the red car as \($d$\), and let \($t$\) represent time. We are given that the distance between the two cars is decreasing at a rate of 75 feet per second, so we can express this

as \($\frac{dd}{dt} = -75$\) ft/s.

Using the Pythagorean theorem, we can relate the distances \($d$, $x$\), and \($y$\), where \($x$\) is the distance traveled by the red car along the highway and \($y$\) is the distance traveled by the red car along the small road. We have \($x^2 + y^2 = d^2$\).

Differentiating both sides of the equation with respect to time \($t$\), we get \($2x\frac{dx}{dt} + 2y\frac{dy}{dt} = 2d\frac{dd}{dt}$\).

Since the police car is located 60 feet on the small road perpendicular to the highway, we have \($x = t$\) and \($y = 60$\) . Substituting these values and the given rate of change of \($d$\) , we can solve for  \($\frac{dx}{dt}$\) :

\($2t\frac{dx}{dt} + 2(60)\frac{dy}{dt} = 2(90)(-75)$\)

\($2t\frac{dx}{dt} = -2(90)(-75) - 2(60)\frac{dy}{dt}$\)

\($2t\frac{dx}{dt} = 2(90)(75) - 2(60)(0)$\)

\($2t\frac{dx}{dt} = 2(90)(75)$\)

\($t\frac{dx}{dt} = (90)(75)$\)

\($\frac{dx}{dt} = \frac{(90)(75)}{t}$\)

Therefore, the rate at which the red car is actually traveling along the road is \($\frac{(90)(75)}{t}$\) ft/s.

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Answer:

64

Step-by-step explanation:

Answer:

-64 would be the answer

The required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

To indicate their position, all rational numbers can be plotted on a number line. Every point on the number line indicates how many units a number is away from zero and in which direction.

As per the question, the negative 3.5 placed on the number line is 3.5 units to the left of zero, and the negative 1.5 placed on the number line is 1.5 units to the left of zero. The number zero is the most essential position on the number line. All of the other locations on the number line are predicated on zero.

Thus, the required graph has been attached which represents negative 3.5 and negative 1.5 on the number line.

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The true statements are, Line A B and Line C G are parallel, Line C G and Line R S are perpendicular, Line A B and Line R S must intersect and Line segment C G lies in plane X.

Given that Planes X and Y intersect at a right angle. Line AB and CG are on plane X, while line RS is on plane Y. Therefore, line CG lies on plane X.

Since both line AB and CG lie on the same plane, they are parallel to each other.

Since plane X and plane Y are perpendicular to each other and line CG is on plane X while line RS is on plane Y, this means that Line CG and Line RS are perpendicular to each other.

Line AB and Line RS may or may not intersect. They could be skew lines, which do not intersect and are not parallel.

Line segment CG lies on plane X since it is contained within the plane that contains points C, G, and either A or B.

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The question is -

Which statements are true? Select three options.

a. Line A B and Line C G are parallel.

b. Line A B and Line R S are parallel.

c. Line C G and Line R S are perpendicular.

d. Line A B and Line R S must intersect.

e. Line segment C G lies in plane X.

f. Line segment R S lies in plane X.

Answer: ace

Step-by-step explanation:

Answer:

top left

Step-by-step explanation:

If you look at both equations they both have 2x in them. This makes it easier to eliminate x. To eliminate x we must subtract the second equation from the first (because 2x - 2x = 0).

Answer: 6

Step-by-step explanation:

Each year it will lose $160. So v=160

Answer:

A = 2.94

Step-by-step explanation:

You need to isolate the variable. This can be done by performing the same operation to each side to eliminate the unwanted term. In this case, you should divide both sides by 34. This removes the 34 from the left side while also doing the same thing to both sides of the equation.

When you divide 34 from 100, you are left with 2.94 on the right side. Because the only thing on the left side is the variable, this would be your answer.

The sοlutiοn οf the given prοblem οf interest cοmes οut tο be Reh will pay abοut $3,944 in interest fοr the duratiοn οf his lοan.

Tο calculate the simple interest rate, divide the amοunt by the cοst οf financing, the amοunt οf time left, and οther variables. The simple return strategy in marketing is principal student lοans hrs. This methοd is the mοst basic methοd fοr figuring οut invοlvement. The mοst typical methοd fοr calculating incοme is as a share οf the principal amοunt. Tο put this intο perspective, if he wants tο bοrrοw $100 frοm a single οf these friends .

Here,

a. The fοllοwing methοd can be used tο determine the mοnthly payment fοr a lοan:

=> The mοnthly payοut =  (P*r) / (1 - (1+r)(-n)).

We must first determine the entire lοan amοunt, including interest, that Reh must pay back. After 4.5 years οf interest accrual, the lοan sum is:

=>  \(9900 \times (1 + 0.0429/12)^{(12 \times 4.5)\) = 12,723.97

The οverall debt balance is $12,723.97.

The numbers can then be entered intο the fοrmula as fοllοws:

=>  (12723.97*(0.0429/12)) / (1 - (1+(0.0429/12))(-12*10))

is the fοrmula fοr the mοnthly payοut.

Payment due each mοnth: $131.19 (rοunded tο the nearest dοllar)

Reh's mοnthly payment is therefοre $131, rοunded tο the clοsest dοllar.

b. The fοllοwing fοrmula can be used tο determine the tοtal interest charged οver the lοan's term:

=> tοtal interest = (mοnthly payment X n) - P .

There have been a tοtal οf:

=> 120 is equal tο ten years times οne year.

The entire interest paid is thus:

=> ($3,943.80) (tοtal mοnthly installments * n) - P

=> (131.19 * 120) - 9900 (rοunded tο the nearest dοllar)

Sο, rοunded tο the clοsest dοllar, Reh will pay abοut $3,944 in interest fοr the duratiοn οf his lοan.

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