The equation
3x-15
= 4x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.

Answer:

0.30%

Step-by-step explanation:

Question:

If the nearest percentage is 0.30% what’s the nearest tenth of a percent?

Answer:I think 3 years

Step-by-step explanation:

sorry if im wrong

9514 1404 393

Answer:

  C'(-25, 5)

Step-by-step explanation:

The dilation scale factor is applied to each of the coordinate values independently:

  C' = 5×C = 5×(-5, 1)

  C' = (-25, 5)

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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Answer:

Slope = -1/5

y-intercept = 3/4

Step-by-step explanation:

Equation of Straight Line in the Form y=mx+c

where m is the Slope and c is the y-intercept.

Answer:

 Slope = -0.400/2.000 = -0.200

 x-intercept = 15/4 = 3.75000

 y-intercept = 15/20 = 3/4 = 0.75000

Step-by-step explanation:

* BE AWARE, THIS ANSWER IS NOT TO BE PLAGERIZED AS IT IS CONSIDERED CHEATING IF THIS IS A TEST OR HOMEWORK QUESTION, MOST LIKELY IT IS* - Purpose is to help understanding of the concept.

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(3/4-1/5*x)=0

STEP 1:

simplify 1/5

Equation at the end of step 1:

y -(3/4-(1/5• x))  = 0

Step 2:

Simplify 3/4

Equation at the end of step 2:

y-)(3/4-x/5)=0

Step 3:

Calculating the Least Common Multiple :

ind the Least Common Multiple

     The left denominator is :       4

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors  4 5 20

     Least Common Multiple:

     20

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 4

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.   L. Mult. • L. Num.      3 • 5

  ——————————————————  =   —————

        L.C.M              20  

  R. Mult. • R. Num.      x • 4

  ——————————————————  =   —————

        L.C.M              20  

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (x • 4)     15 - 4x

———————————————  =  ———————

      20              20  

Equation at the end of step

3

:

      (15 - 4x)

 y -  —————————  = 0

         20    

STEP

4

:

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  20  as the denominator :

         y     y • 20

    y =  —  =  ——————

         1       20  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

4.2       Adding up the two equivalent fractions

y • 20 - ((15-4x))     20y + 4x - 15

——————————————————  =  —————————————

        20                  20      

Equation at the end of step

4

:

 20y + 4x - 15

 —————————————  = 0

      20      

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 20y+4x-15

 ————————— • 20 = 0 • 20

    20    

Now, on the left hand side, the  20  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  20y+4x-15  = 0

Equation of a Straight Line

5.2     Solve   20y+4x-15  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  20y+4x-15  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/4 so this line "cuts" the y axis at y= 0.75000

 y-intercept = 15/20 = 3/4  =  0.75000

Calculate the X-Intercept :

When y = 0 the value of x is 15/4 Our line therefore "cuts" the x axis at x= 3.75000

 x-intercept = 15/4  =  3.75000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.750 and for x=2.000, the value of y is 0.350. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.350 - 0.750 = -0.400 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.400/2.000 = -0.200

Geometric figure: Straight Line

 Slope = -0.400/2.000 = -0.200

 x-intercept = 15/4 = 3.75000

 y-intercept = 15/20 = 3/4 = 0.75000

Answer:

It's 180% :)

Hope this Helps!

The value of the function at g = 1 and g = 4 will be 55 and 105, respectively.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The function is given below.

C(g) = 55          if 0 < g < 2

C(g) = 25g + 5  if g ≥ 2

The value of the function at g = 1 is given as,

C(1) = 55

The value of the function at g = 4 is given as,

C(4) = 25(4) + 5

C(4) = 100 + 5

C(4) = 105

The value of the function at g = 1 and g = 4 will be 55 and 105, respectively.

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Answer 1/614

Step-by-step explanation:

The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

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Answer:

y=10d+8

Step-by-step explanation:

Answer:

d + 8 = 18

lmk if i'm right

Answer:

Growth

Step-by-step explanation:

To determine the growth or decay of exponential function, we have to observe the base value -- the value below exponent -- which is 5/2.

For standard exponential function, y = abˣ

If the base has value between 0 < b < 1 then the graph decays.

If the base has value greater than 1 or b > 1 then the graph grows.

So the question is, "is 5/2 greater than 1?" 5/2 in decimal form is 2.5 which is greater than 1. So yes, 5/2 is greater than 1.

That satisfies the condition of b > 1 which means the function y = 3(5/2)ˣ is a growth exponential.

Answer:

C) \(\displaystyle\frac{-2}{(x+1)}\)

Step-by-step explanation:

\(\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}\)

The relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.

A relation, in maths, is defined as a relationship between two variables, x and y, which are linked to each other.

The x-value and the y-value of each set of points in a relation is written as (x, y).

Thus, in the given relation that is represented by the graph below, we have the following set of ordered pairs representing each point on the graph: (–3, 3), (0, 0), and (2, –2).

Therefore, the relation can be written as a set of ordered pairs as: a. {(–3, 3), (0, 0), (2, –2)}.

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Step-by-step explanation:

there is something severely wrong with the problem definition.

when the Hypotenuse = 9, there is no 30-60-90 triangle with a leg = 6.

and when we are just focusing that this is a right-angled triangle with the Hypotenuse = 9, then 6 cannot be the longer leg.

it is also not clear what the solution is supposed to be. the 2nd leg ? the area ? the perimeter ? the height(s) ? ...

what ?

so, all I can do here is to show you why I said what I said :

30-60-90 triangle with Hypotenuse = 9

then the longer leg is opposite of the 60° angle and therefore sin(60)×9 = 7.794228634...

the shorter leg is opposite of the 30° angle and therefore sin(30)×9 = 0.5×9 = 4.5

a right-angled triangle with Hypotenuse = 9, one leg = 6 gives us per Pythagoras for the other leg

9² = 6² + leg²

81 = 36 + leg²

45 = leg²

leg = sqrt(45) = 6.708203932...

so, you see, as stated above, there is no leg with the length 6 in such a 30-60-90 triangle.

and in a more general right-angled triangle, if one leg = 6, then the other leg is actually longer.

therefore, there is everything wrong with the problem definition.

Answer:

the GCF is 5

Step-by-step explanation:

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

Answer:

172 cm

Step-by-step explanation:

The total height of the first 7 people is the average of the 7 people multiplied by the number of people, which is 156 * 7 or 1092. Using the same method, the total height of the first 8 people is 158*8 or 1264. The eighth person must be 1264 - 1092 cm tall or 172 cm tall.  

Answer:

I believe the answer is 9

Step-by-step explanation:

Answer:

Approach 1: Mathematical Approach

Domain is the possible inputs or x values of a function

Here we can use any x values greater than or less than 7. We can also use 7 since their is a a function defined for x greater than or equal to 7.

So the domain is (-♾, ♾).

The range is possible y values. Since we can use negative x values, if we plug in x values for the function -5/7x+1, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

This means the range is bounded to -4 so our range is

(-4,♾)

Approach 2: Graphical Approach

Above is the graph

It can take any x values so the domain is (-♾, ♾).

The range is (-4,♾).

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:peppers

Step-by-step explanation:

Answer:

peppers for $1.62 per pound

Step-by-step explanation:

i took the test

The area of the figure is 108cm²

The formula for calculating the area of a triangle is expressed as;

Area = 1/2 base × height

Substitute the values, we have;

Area = 1/2 ×8×3 = 12 cm²

The formula for calculating the area of a rectangle is expressed as;

Area = length × width

substitute the values, we have;

Area = 8 × 10

Area = 80 cm²

The formula for area of a trapezoid is expressed as;

Area = a + b/2 h

Substitute the values

Area = 4 + 4/2 (4)

Area = 16cm²

Total area = 16 + 12 + 80 = 108cm²

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Answer:

\(-49x^3\)

Step-by-step explanation:

\(7x^2(-2x-5x)\\7x^2(-7x)\\7*-7(x^2x)\\7*-7x^3\\= -49x^3\)

Answer:

if a scale factor is less than 1 then your figure gets smaller

Step-by-step explanation:

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

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