PLEASEEEE HURRYY
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area. The map scale is 1 inch = 3.5 miles. From Garland to Mansfield is 52.5 miles. How far apart are these two cities on the map?

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Answer:

Step-by-step explanation:

The sum of 8 and t ⇒ 8 + t

The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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Answer: -12.5

Step-by-step explanation:

x(2y-3) and x=2.5 and y=-1

so you fix in the figures so it will turn to

2.5(-2-3)

so then you open the brackets with 2.5

-5-7.5

Answer: -12.5

We can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

The function f(x) = -x³ + 6x² -10x + 4 is a polynomial function, which means that it is defined for all real values of x. Unlike some functions (such as square roots or logarithms) which have restrictions on their input values, a polynomial function can take any real number as an input.

To express the domain of the function in interval notation, we use the notation (-∞, ∞), which represents all real numbers. The symbol ∞ stands for infinity, and the open interval notation with the parentheses indicates that there are no specific endpoints for the domain; it extends indefinitely in both directions along the real number line.

Therefore, we can say that the domain of f(x) is (-∞, ∞), which means that any real number can be plugged into the function and it will produce a valid output.

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Answer:

195.4

Step-by-step explanation:

Volume of a right cylinder is:

V = π r² h

where r is radius and h is height.

V = π (2.6 cm)² (9.2 cm)

V = 195.4 cm³

The volume of the closet space = 207,936 in³

The volume of the one roll of toilet paper = 141.3in³

To calculate the volume of the closet, the formula that should be used is the formula for the volume of a rectangle = length×width×height.

Where;

length = 57 in

width = 57

height = 64

volume = 57×57×64 = 207,936 in³

The volume of the toilet paper with the shape of a cylinder would be = πr²h

where;

radius = diameter/2= 6/2=3in

height = 5 in

volume of cylinder = 3.14×3×3×5 =141.3in³

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Answer:

m∠Q = 35°

m∠M = 60°

Step-by-step explanation:

In the isosceles triangle, the measures of the base angles are equal

In Δ RQS

∵ RQ = RS

→ That means Δ RQS is an isosceles triangle

∴ Δ RQS is an isosceles triangle

∵ ∠Q and ∠S are the base angles

∴ m∠Q = m∠S

→ The sum of the measures of the interior angles in any Δ is 180°

∴ m∠Q + m∠S + m∠R = 180°

∵ m∠R = 110°

∴ m∠Q + m∠S + 110 = 180

→ Subtract 110 from both sides

∴ m∠Q + m∠S = 70°

∵ m∠Q = m∠S

→ Divide their sum by 2 to find the measure of each one

∴ m∠Q = m∠S = 70 ÷ 2 = 35°

∴ m∠Q = 35°

In Δ MNP

∵ MN = NP = PM

→ That means ΔMNP is an equilateral triangle

∴ Δ MNP is an equilateral triangle

→ In the equilateral triangle, all angles are equal in measures

∴ m∠M = m∠N = m∠P

∵ m∠M + m∠N + m∠P = 180

→ Divide their sum by 180 to find the measure of each angle

∴ m∠M = m∠N = m∠P = 180 ÷ 3 = 60°

∴ m∠M = 60°

The equivalent expression to \((4-7)(2x-1)\)  is \(-6x+3\)

First, you multiply the binomials using the multiplying binomial that you are used to. I like to use the box method.

Multiply 4 by 2x and -1      and multiply -7 by 2x and -1

\(8x-14x-4+7\)

Then, add like terms.

\(-6x+3\)

A) The probability of the event that the block is cracked is; 0.025

The probability of the event that the block is discolored is; 0.045.

B) The probability of the event that the block is both cracked and discolored is; 0.025

C) The probability of the event that the block is cracked but not discolored is; 0.06178

We are given;

15 stones were cracked

27 stones were discolored

562 stones were neither cracked nor discolored

Total number of stones =600.

A) Find the probability that it is cracked, discolored or both;

Favorable condition for one is cracked = 15

Thus;

P(crack) = 15/600

P(crack) = 0.025

Favorable condition for discolored = 27

P(discolored) = 27/600

P(discolored) = 0.045

B) Favorable condition for both crack and discolored = 15

P(crack & discolored) = 15/600

P(crack & discolored) = 0.025

C) Favorable condition for cracked but not discolored means that the total number of stones will be 573. Thus;

P(cracked, not discolored) = 15/573

P(cracked, not discolored) = 0.06178

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Answer:

4.97 or 5 dollars

Step-by-step explanation:

so basically just times them together

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

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Answer:

3/5

Step-by-step explanation:

You'll get 0.6 if you divide it

Answer:

3/5

Step-by-step explanation:

5/12 = 0.41666

4/9 = 0.4444

3/7 = 0.4285714

7/13 = 0.538461

3/5 = 0.6

Step-by-step explanation:

1) The question reads that

2(x+3)=20

So here we are finding x

We need to multiply the 2 by the ones in the bracket which is the (x+3)

So 2 multiplied by x is 2x

We didn't add the x and the 3 because a variable and a number can't be added, a number and a variable which is the letter can only be multiplied.

And then we also multiply 2 by 3 which is going to be;

2(3)

6

So it's going to be;

2x+6=20

So now, we group like terms;

2x=20-6(We have -6 because any positive number which crosses an equal sign becomes a negative and when a negative number crosses an equal sign it becomes a positive which is represented by +

2x=14

So now we subtracted 6 from the 20 giving us 14

So now we proceed to divide both sides by 2 to obtain the value of x

So 14 can be divided by 2,

7 times so;

x=7

2) So this question reads;

10x-3(2x+2)=30

With this we are also finding x

So here, we multiply the -3 by the 2x and the +2

So;

-3×2x=-6x

And

-3×2=-6

So now we have;

10x-6x-6=30

So here we can choose to group like terms of subtract the 6x from the 10x right away but grouping would be better so we are going to group which is going to be;

10x-6x=30+6

4x=36

So now we divide both sides by 4 to find the x

and 36 can be divided by 4, 9 times.

So;

x=9

At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots

Firstly we need to an equation to represent both ships and the distance between each. A is moving \($25 \mathrm{knots}$\) west and \($B$\) is moving \($17 \mathrm{knot}$\) north. \($D$\)will be the distance between the two. Drawing it, you'll notice that it creates a right triangle.

So we use the Pythagorean Theorem:

\($$D^{\wedge} 2=A^{\wedge} 2+B^{\wedge} 2$$\)

Differentiate in relation to time:

\($$2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt})$$\)

Now we must find all of our variables.

\(& A=\text { time(speed })+\text { original distance }=5(25)+10=135 \\\)

\(& B=5(17)+0=85 \\\)

\(& D=V\left(A^{\wedge} 2+B^{\wedge} 2\right)=159.53 \\\)

\(& d A / d t=25 \\\)

\(& d B / d t=17\)

Plug in all your variables and solve for

\($(\mathrm{dD} / \mathrm{dt})$ :\)

\(& 2 \mathrm{D}(\mathrm{dD} / \mathrm{dt})=2 \mathrm{~A}(\mathrm{dA} / \mathrm{dt})+2 \mathrm{~B}(\mathrm{~dB} / \mathrm{dt}) \\\)

\(& 2(159.53)(\mathrm{dD} / \mathrm{dt})=2(135)(25)+2(85)(17) \\\)

\(& 319.061(\mathrm{dD} / \mathrm{dt})=9640 \\\)

\(& \mathrm{dD} / \mathrm{dt}=9640 / 319.061 \\\)

\(& \mathrm{dD} / \mathrm{dt}=30.21 \text { knots }\end{aligned}\)

At \($5 \mathrm{pm}$\) the distance between the ships is changing at the speed of \($\mathbf{3 0 . 2 1}$\) knots

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Answer:

Sana takes 10 minutes longer than Ali in bathroom

Step-by-step explanation:

Given:

Ali Showers, brushes teeth 20 minutes

Thus, Ali takes 20 minutes time in bathroom

Sana Takes a bath, brushes teeth ½ hour

1 hour has 60 minutes

1/2 hour has 60/2=30 minutes

Thus, Sana takes 30 minutes time in bathroom.

Time, taken more by sana than Ali = 30 minutes - 20 minutes = 10 minutes

.

Thus, Sana takes 10 minutes longer than Ali in bathroom.

Answer: The probability that both events A and B will occur is 5/18 or 0.28.

Step-by-step explanation:

To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.

Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.

Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.

To find the probability that both events A and B occur, we multiply the probabilities:

Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.

Answer:

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .

Answer:

Alternate interior angles

Answer:

The base is 6.69 and the height is 6.02 (these are rounded to nearest hundredth)

Step-by-step explanation:

soh-cah-toa

cos 42 = adjacent/9

adjacent = cos 42 x 9

adjacent = 6.69

sin 42 = opposite/9

opposite = sin 42 x 9

opposite = 6.02

The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function.

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given function,

y = 2x + 1

For y-intercept x = 0

y = 2(0) + 1 = 1

Thus, the y-intercept is 1.

In the graph, the line passes the y-axis at y = 1.

Hence "The y-intercept is the point of (0,y) thus y-intercept of y = 2x + 1 is 1 and it is equal to the given graph of the function".

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The given question missing the graph attached below ;

\( \bf \implies \:(x,y) = (2,0)\)

There are four quadrants in graph:

Note that : x axis is also known as abscissa and y axis is also known as ordinate

Answer:

3 (7+m)

Step-by-step explanation:

The correct expression is,

⇒ 3 (7 + m)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''3 times the sum of 7 and m''

Now, We can formulate;

⇒ 3 × (7 + m)

⇒ 3 (7 + m)

Thus, The correct expression is,

⇒ 3 (7 + m)

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Answer:7 x 10 ^1 is the right answer

Step-by-step explanation:

Hope this helps :)

There is the bacterial cell 7 × 10¹ times smaller than the amoeba cell which is the correct answer would be an option (B).

Scientific Notation is a way of writing down in the easy form of very large or very small numbers.

We have been given that a bacterial cell is around 5 × 10⁻⁶ m long, while an amoeba cell is about 3.5 × 10⁻⁴ m long.

To determine the number of times smaller is the bacterial cell than the amoeba cell.

⇒ amoeba cell / bacterial cell

⇒ 3.5 × 10⁻⁴ m / 5 × 10⁻⁶ m

Apply the division operation, and we get

⇒ 0.7 × 10⁻⁴ × 10⁶

Adding the exponents of the above terms

⇒ 0.7 × 10⁻⁴⁺⁶

⇒ 0.7 × 10²

⇒ 7 × 10¹

Hence, there is the bacterial cell 7 × 10¹ times smaller than the amoeba cell.

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Answer: -0

Step-by-step explanation: cause one is negative 0 and then the other is 0

Answer:

Answer:x=−6.274917217635375,1.2749172176353745

Step-by-step explanation:

(3(2))2=(x+2)2+x12=x2+5x+4

Step 1: Subtract x^2+5x+4 from both sides.12−(x2+5x+4)=x2+5x+4−(x2+5x+4)−x2−5x+8=0

For this equation: a=-1, b=-5, c=7.999999999999998−1x2+−5x+8=0Step 2: Use quadratic formula with a=-1, b=-5, c=7.999999999999998.x=−b±b2−4ac2ax=−(−5)±(−5)2−4(−1)(8)2(−1)x=5±57−2x=−6.274917217635375,1.2749172176353745