hello!! can somebody help me please? i’m really desperate. this is a really hard math word problem. i’m confused. if you don’t get it either don’t worry i understand completely

The value of the given expression at the given points is 52.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Consider, the given expression  

y + (x^2 - 2)/2

We have to find the value of expression at x = 10 and y = 3

Plug x = 10 and y = 2 in the above equation.

3 + (10^2 - 2)/2

3 + (100 - 2)/2

3 + 98/2

3 + 49

52

Hence, the value of the given expression at the given points is 52.

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Answer:

4/8

Step-by-step explanation:

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

3,1

Step-by-step explanation:

the other person accidently did it wrong

Answer:

(4,12)

Step-by-step explanation:

Since the slope is (3,1) you go up 3, 1 and when you get 12,4 you graph x then y so, (x,y) = (4,12)

Hope it helps:)

The relationship is linear

The complete question and the line of best fit are added as an attachemnt

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values decreases

This represents a decreasing linear association.

From  the graph, we can see that the x and the y values are positive

So, the domain is x > 0 and the range is y > 0

See attachment for the line of best fit

Using the points on the line, we have

Slope ≈ (30 - 70)/(0 - 5)

Slope ≈ 8

Hence, the slope is approximately 8

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Answer:

your day going so far so good 1

Answer:

lol your right

Step-by-step explanation:

We can rewrite the equation for this line as follows:

7x + 5y = -20

5y = -7x - 20

y = (-7/5)x - 4

Now, let's look at the general equation of a line:

y = ax + b.

In this equation, a is the slope of the line.

All parallel lines to this one will have the same slope. So, we need to identify the slope of the given equation. And that is:

a = -7/5 = -1.4

Therefore, all equations in the form y = -1.4x + c, where c is a constant, represent lines parallel to the given one.

Answer:

$1.30 for juice

Step-by-step explanation:

If madeline bought 2 bagels for $6 then one bagel must be $3. Madison spent $4.30 so $3 was the bagel and $1.30 was the juice.

Here using the correct order of operations that is PEMDAS, we get the value to be 13.

PEDMAS can be summed up as a mathematical acronym that lists the various arithmetic operations in order of greatest to least practical use.

The letters stand for:

P stands for parentheses.

Exponents are shown as E.

D stands for division.

The letter M stands for multiplication.

A stand for addition.

S stands for subtraction.

Now in the given question,

15 - (4-3)2

First the parentheses

15 - (1)2

Next is exponents.

15 - 2

At last, after subtracting, we get:

13

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Answer:

Hello,

answer C

Step-by-step explanation:

\(\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}\)

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer: To find the height of the ramp, we need to use the Pythagorean theorem, which relates the lengths of the sides of a right triangle. In this case, the ramp, porch, and ground form a right triangle, with the height of the ramp being the missing side.

We know that the ramp begins 96 centimeters from the porch and is 100 centimeters long. Let's represent the height of the ramp with the variable "h". Then, we can write the Pythagorean theorem equation:

h^2 + 96^2 = 100^2

Simplifying this equation, we get:

h^2 + 9216 = 10000

Subtracting 9216 from both sides, we get:

h^2 = 784

Taking the square root of both sides, we get:

h = 28

Therefore, the height of the ramp is 28 centimeters.

Step-by-step explanation:

If a function, f(x) is translated horizontally by k units to the left, it becomes f(x + k)

The given function is expressed as

f(x) = 2^x - 1

If we translate it horizontally by 7 units to the left, we add 7 to the value of x. it becomes

f(x + 7) = 2^(x + 7) - 1

Thus, the value of h is 7 while the value of k is - 1by 7 units to the left, it becomes

f(x + c) =

The surface area of the rectangular prism in this problem is given as follows:

A. 426 m².

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas. -> net method.

The dimensions for this problem are given as follows:

5 m, 12 m and 9 m.

Hence the surface area of the prism is given as follows:

S = 2(5 x 12 + 5 x 9 + 12 x 9)

S = 426 m².

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Answer:

option 3

Step-by-step explanation:

Answer:

r = 1.37 billion feet

Step-by-step explanation:

It is given that,

A proposed design for a habitable Mars colony is a hemispherical  biodome used to maintain a breathable atmosphere for the colonists.

The volume of biodome is 5.5  billion cubic feet of air.

It is in the shape of a hemisphere. The volume of a hemisphere is given by :

\(V=\dfrac{2}{3}\pi r^3\), r = radius

V = 5.5 billion cubic feet

\(r^3=\dfrac{3V}{2\pi}\\\\r^3=\dfrac{3\times 5.5}{2\times 3.14}\\\\r=(\dfrac{3\times 5.5}{2\times 3.14})^{1/3}\\\\r=1.37\ \text{billion feet}\)

So, the radius of the biodome is 1.37 billion feet.

The radius of the biodome if it is required to contain 5.5  billion cubic feet of air is 1.38 billion feet and this can be determined by using the formula of the volume of the hemisphere.

Given :

The following steps can be used in order to determine the radius of the biodome:

Step 1 - The formula of the volume of the hemisphere can be used in order to determine the radius of the biodome.

Step 2 - Formula of the volume of the hemisphere is given by:

\(\rm V =\dfrac{2}{3}\pi r^3\)

where r is the radius of the hemisphere.

Step 3 - Now, substitute the value of V in the above formula in order to determine the value of 'r'.

\(\rm 5.5=\dfrac{2}{3}\pi r^3\)

Step 4 - Simplify the above expression.

\(r^3=\dfrac{5.5\times 3}{2\pi}\)

\(r = \sqrt[3]{\dfrac{16.5}{2\pi}}\)

r = 1.38 billion feet

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Answer:

D and B

Step-by-step explanation:

The scenarios which gives a value of 0.4 is depicted by the equations B and C

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

a)

Jesse rode 4 out of 10 miles on his bike.

So , the fraction is A = 4/10 = 0.4

b)

Jesse finished 40 out of 100 math problems.

So , the fraction is A = 40/100 = 0.4

Hence , the equation is A = 0.4

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Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

The total area from the graph is 2.737.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

First of all, lets calculate the points of intersection (P, Q, R)

x²+3=(x+2) +5

x²-2=√(x+2)

x⁴+4-4x²=x+2

x⁴-4x²-x+2=0

(x-2)(x³+2x²-1)=0

(x-2)(x+1)(x²+x-1)=0

x=2, -1, -1±√(1+4)/2

Clearly, the x-coordinate of Q is -1, P is -1-√5/2, R is -1+√5/2, S is 2

So the limit of integration will be

P( (-1-√5)/2, (-1-√5/2)² +3)=P((-1-√5)/2, (3+√5/2))

Q(-1, (-1)²+3)=Q(-1, 4)

Area A:

\(\int\limits^\frac{3+\sqrt{5} }{2} _4 {-\sqrt{-y-3}-((y-5)^2 -2)} \, dx\)

= \([\frac{-(y-3)^\frac{3}{2} }{\frac{3}{2} }-\frac{(y-5)^3}{3}+3y]^{\frac{3+\sqrt{5} }{2} }_4\)

= 2.07

Area B:

\(\int\limits^\frac{-1+\sqrt{5} }{2} _4 {-\sqrt{x+2}+5-(x^2+3)} \, dx\)

= \([\frac{-(x+2)^\frac{3}{2} }{\frac{3}{2} }+5x-\frac{x^3}{3}-3x]^{\frac{-1+\sqrt{5} }{2} }_{-1}\)

= 0.667

Total area = 2.07+0.667

= 2.737

Therefore, the total area from the graph is 2.737.

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189cm²

Step-by-step explanation:

area is multiplication so it will be L×B

also because its a rectangle

Answer:

Solution in photo

Step-by-step explanation:

Answer:

a) 0.24

b) 0.3

Step-by-step explanation:

Given the following probability

P(A) = 0.4 P(B) = 0.6

a) P(A and B) =P(A)P(B) {Independent)

P(A and B) = 0.4×0.6

P(A and B) = 0.24

b) Given P(A | B) = 0.5, this is a conditional probability

If P(A | B) = P(A and B)/P(B)

Since If P(A | B) = 0.5

0.5 = P(A and B)/P(B)

P(A and B) = 0.5(P(B)

P(A and B) = 0.5(0.6)

P(A and B) = 0.3

The x-intercept of function f(x) is x = 7.

We have,

Since the x-intercept of a function is the value of x at which the function equals zero, we can find it by setting f(x) = 0 and solving for x.

Let's assume that the function f(x) is a linear function of form f(x) = mx + b, where m is the slope and b is the y-intercept.

Since we know that f(-1) = 7 and f(5) = 7/2, we can set up two equations:

-7m + b = 7 (when x = -1)

5m + b = 7/2 (when x = 5)

To solve for m and b, we can subtract the first equation from the second to eliminate b:

5m + b - (-7m + b) = 7/2 - 7

12m = -13/2

m = -13/24

Now we can substitute m into either equation to solve for b:

-7(-13/24) + b = 7

b = 91/24

Therefore,

The function f(x) is f(x) = (-13/24)x + 91/24.

To find the x-intercept, we can set f(x) = 0:

(-13/24)x + 91/24 = 0

x = 7

Thus,

The x-intercept of function f(x) is x = 7.

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Answer:

3 2/3 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

The explanation is given in the attached picture below

Answer: A transformation of a function such as y = f(x) is a way to change the appearance of its graph by applying certain rules to it. In this case, the graph of function g is a translation right 5 units and up 1 unit of the graph of f.

To find the equation of the transformed function g, we can take the equation of the parent function, which is y = f(x) = x^2 and apply the translation rules (right 5 units and up 1 unit) to it.

The translation right 5 units means that the x-coordinate of each point on the graph of f is increased by 5 units. So this can be written as x = x+5

The translation up 1 unit means that the y-coordinate of each point on the graph of f is increased by 1 units. So this can be written as y = y+1

Substituting x = x+5 and y = y+1 in the equation of the parent function y = x^2 gives the equation of g in the form:

y = (x+5)^2 + 1

So the equation of g is y = (x+5)^2 +1

This equation is a parabola with a vertex that

Step-by-step explanation:

9514 1404 393

Answer:

  80.38°

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...

  tan(α) = 236/40

  α = arctan(236/40) ≈ 80.38°

a. Assuming no additional restrictions, there are  800 possible three-digit area codes.

b. Considering ERCs, there are  80 ERCs.

c. For the seven digits after the area code, there are \(8 \times 10^6 = 8,000,000\)  possible seven-digit phone numbers.

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers is 800 \(\times\) 8,000,000 = 6,400,000,000.

a. For three-digit area codes, the first digit cannot be 0 or 1.

Assuming no additional restrictions, there are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining two digits (0-9). Therefore, the total number of three-digit area codes possible under this plan is \(8 \times 10 \times 10 = 800.\)

b. For an ERC (Easily Recognizable Code), the second and third digits of the area code must be the same, and the first digit cannot be 0 or 1. There are 8 possibilities for the first digit (2-9) and 10 possibilities for the third digit (0-9).

Since the second digit must be the same as the third digit, there is only 1 possibility.

Therefore, the total number of ERCs is \(8 \times 1 \times 10 = 80.\)

c. For the seven digits after the area code, the first digit of the three-digit local prefix cannot be 0 or 1.

There are 8 possibilities for the first digit (2-9) and 10 possibilities for each of the remaining six digits (0-9).

Therefore, the total number of seven-digit phone numbers possible is 8 * \(10\times 10 \times 10 \times 10 \times 10 \times 10 = 8,000,000.\)

d. Assuming only the 0 and 1 restrictions from parts a and c, the number of possible ten-digit phone numbers can be calculated by multiplying the number of possibilities for each digit position.

For the area code (part a), there are 800 possibilities.

For the seven digits after the area code (part c), there are 8,000,000 possibilities.

Therefore, the total number of ten-digit phone numbers possible is 800 * 8,000,000 = 6,400,000,000.

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Answer:

Hello,

answer: m∠arc ET=25°

Y is out the circle .

y is a exterior angle of the circle.

Step-by-step explanation:

m∠y=58.5°

m∠arc GM=142°

m∠arc ET=x°

m∠arc ET=25°