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The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer: y= -2/7x-2

Step-by-step explanation:

To be parrell they have to have the same slope but different y intercepts.

so just put -2 so it will cross that point

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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The function to represent the situation f(x)=  35 + 50x.

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. LHS = RHS is a common mathematical formula.

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:

An electrician charges 35 dollars for a house call.

and, 50 dollars per hour.

let the number of hours for be x.

Then, the charges according to per hour = 50x.

Also, the fixed charge is 35.

Thus, the total money is

f(x)= 35 + 50x

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Answer:

85/2

Step-by-step explanation:

5(8+1/2)

5×8.5

42.5

Answer:

false

plz tell me if im wrong i hope i helped

Answer:

it's true

Step-by-step explanation:

To factorise you need to work out a number that add up to the number with a letter and multiply to the last number

Answer:

220

Step-by-step explanation:

216+4

The next day+ the first day=220

Answer:

\(x\frac{ba}{1-2a}\)

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable

Answer:

\(x=\frac{ba}{1-2a}\)

Step-by-step explanation:

\(We\ are\ given:\\\frac{x}{a}-2x=b\\Since\ we\ need\ to\ isolate\ x\ in\ the\ equation:\\We\ start\ off\ by\ taking\ out\ x\ in\ common\ from\ the\ LHS:\\ \frac{x}{a}-2x=b\\\therefore x(\frac{1}{a}-2)=b\\\therefore x(\frac{1-2a}{a})=b\\Hence,\\x=\frac{ba}{1-2a}\)

Answer:

In general, we already know how to solve problems in a right triangle using the concept of trigonometry. Meanwhile, as we also know that the type of triangle is not only a right triangle, but there are isosceles, equilateral, or even random triangles. The question is how to solve the problems that exist in these triangles It is known that there is an arbitrary triangle with sides a, b, and c. The angle formed in front of side a is called angle α, the angle formed in front of side b is called angle β, and the angle formed in front of side c is called angle γ = 5

Step-by-step explanation:

x" + 5x + 6 = 0

(x + 2)(x + 3) = 0

x + 2 = 0

x = -2

x + 3 = 0

x = -3

#semogamembantu

Answer:

ac=10+5=15

AB=24

BC=5+(24-10)=5+14=19

perimeter=ac+AB+BC=15+24+19=58.the side in a tangant are equal.

The Area of the shaded portion is: 72 square inches

The formula for the area of a triangle is given by the formula:

Area = ¹/₂ * base * height

Now, to get the area of the shaded portion, we will get the area of the larger triangle and subtract the area of the smaller one from it.

Thus:

Area of larger triangle = ¹/₂ *  17 * 13 = 110.5 square inches

Area of smaller triangle =  ¹/₂ * 11 * 7 = 38.5 square inches

Thus:

Area of shaded portion = 110.5 square inches - 38.5 square inches

Area of shaded portion = 72 square inches

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Answer:

y = 2x + 0; y = 2x

Step-by-step explanation:

y = mx +b is the equation.

b is the y intercept which is shown as 0. We do rise over run to find x. We can see that every time it rises by 2, it runs by 1 so its 2.

Answer:

ur correct it's A. trust me u look up all the definitions to the other than A. they gonna be wrong already looked em all up

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

0.9+n=5.2

Step-by-step explanation:

the reason why this is the answer it says increase which is addition.

0.9 + n = 5.2 equation represents this sentence 0.9 increased by a number is 5.2.

Two or more expressions with an Equal sign is called as Equation.

Given,

0.9 increased by a number is 5.2.

When increased is in the sentence it means addition.

Which means 0.9 is added to a number.

Let us consider the number be x.

We have to add 0.9 to this number which gives the solution as 5.2

Hence, 0.9 + n = 5.2 equation represents this sentence 0.9 increased by a number is 5.2.

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After answering the prοvided questiοn, we can cοnclude that Therefοre, equatiοn the twο planes will be apprοximately 798.12 miles apart at 3:00 PM.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true. Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible.

\($ \rm V d_{n}s=-280s i n(23 ^{\circ})=-112.66\ m p h$\)

And the east-west component of its velocity is given by:

\($\begin{array}{c}{{\rm V d_{e}w=280c o s(23^{\circ})=260.98\ m p h}}\\ {{\rm V s_{n}s=320s i n(39^{\circ})=197.89\ m p h}}\end{array}$\)

And the east-west component of its velocity is given by:

\($\begin{array}{l c r}{{}}&{{}}&{\rm {{ V}s_{e}w=-320c o s(39^{o})-245.20m p h}}\\ {{}}&{{}}&{{}}\\ {{}}&{{}}&{{}}\end{array}$\)

\(\rm d = vt\)

where d is the displacement vector, v is the velocity vector, and t is the time interval.

\($\rm d d=(-112.66m p h,260.98m p h) \times 3=(-337.98m i l e s,782.94m i l e s)$\)

\($ \rm d s=(197.89m p h,-245.20m p h)*3=(593.67m i l e s,-735.60m i l e s)$\)

where \(\rm dd_ns\) and \(\rm dd_e w\) are the north-south and east-west components of dd, and similarly for \(\rm ds_ns\) and \(\rm ds_e w\)

\(\rm |dd - ds| = \sqrt{(-337.98 - 593.67)^2 + (782.94 + 735.60)^2} \\= 798.12\ miles\)

Therefore, the two planes will be approximately 798.12 miles apart at 3:00 PM.

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Answer:

it's 9

Step-by-step explanation:

i dont know how to explain

A. Increase. If the standard deviation of a sample increases and the confidence interval width needs to remain the same, then the sample size must increase.

The confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. The width of the confidence interval is determined by several factors, including the standard deviation of the sample, the sample size, and the desired level of confidence. When the standard deviation increases, the margin of error also increases, which in turn widens the confidence interval. To keep the confidence interval width constant, the margin of error must be kept constant. The margin of error is inversely proportional to the square root of the sample size, which means that increasing the sample size will decrease the margin of error, thereby keeping the confidence interval width constant.

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Answer:

(8,-43)

(4,-22)

Step-by-step explanation:

In order for the ordered pair to be a solution of the inequality, you must be able to plug in the y-value of the ordered pair and it must be less than or equal to 0.

For example:

(4,-22)

x=4 ; y=-22

Plug y into the inequality

y≤0

-22≤0

Since the statement is true, I know that (4,-22) must be a solution to the inequality.

Another way to solve this problem is by graphing. If an ordered pair is in the shaded region, it is a solution to the inequality. Attached is a graph of both the inequality and ordered pairs plotted.

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Answer:

Step-by-step explanation:

To determine whether each ordered pair is a solution to the inequality y ≤ 0, we need to check if the y-coordinate of each pair is less than or equal to zero.

Let's check each ordered pair:

(8, -43):

The y-coordinate is -43. Since -43 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(4, -22):

The y-coordinate is -22. Since -22 is less than zero, this ordered pair is a solution to the inequality y ≤ 0.

(-3, 25):

The y-coordinate is 25. Since 25 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

(-7, 45):

The y-coordinate is 45. Since 45 is greater than zero, this ordered pair is not a solution to the inequality y ≤ 0.

So, the solutions to the inequality y ≤ 0 are:

(8, -43) and (4, -22).

Answer:

Step-by-step explanation:

i hope this is good enough

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

  s[1] = 0.2; s[n] = -5·s[n-1]

Step-by-step explanation:

To write a recursive formula, you need to know how a given term relates to the ones before it. Here, each term is -5 times the one before. So part of the formula is ...

  s[n] = -5·s[n-1]

The other part of a recursive formula is the part that tells the initial values necessary to make this recursive function work. Here, one initial value is needed. We know that the first term is 0.2, so that's what we need to say:

  s[1] = 0.2

__

The recursive formula is ...

Answer:

0.2

-5

Step-by-step explanation:

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Step-by-step explanation:

Area of the circle=

\( \frac{\pi {d}^{2} }{4} \)

3.14•(17)²/4

=226.865in²

Area of the rectangle=length•width

=(8•15)in²

=120in²

Area of the shaded portion=Area of the circle-Area of a rectangle

=(226.865-120)in²

=106.865in²

=106.87in² to the nearest hundredth

Moving 2/3 to the other side, we get

x>1/4+2/3

Simplifying,

x>11/12