In March Delphine’s house had 40% more snowfall than in February. Delphine’s house has F centimeters of snowfall in February

5

180°-(90°+68°)=180°-158°=22°

6

180°-22°=158°

Answer:

22° and 158°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in the triangle from 180

∠5 = 180° - (90 + 68)° = 180° - 158° = 22°

∠5 and ∠ 6 form a straight angle, thus the angles are supplementary

∠6 = 180° - ∠5 = 180° - 22° = 158°

Answer:

Slope of function A is 6 and slope of function B is 3. Slope of A is twice of slope of function B. The relationship between slopes is

[tex]\text{Slope of Function A}=2\times \text{Slope of Function B}[/tex]

Step-by-step explanation:

The function A is,

[tex]f(x)=6x-1[/tex]

It can be written as,

[tex]y=6x-1[/tex]

It is the slope intercept form like [tex]y=mx+c[/tex], where m is the slope. On comparing the function A with the slope intercept form, we get the value of slope of function A is 6.

[tex]m_{A}=6[/tex]

The graph of function B passing through the point (1,4), (-1,-2) and (-2,-5).

If a line passing through the points  and , then the slope of line is,

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Choose any two points of function B. Let the function B is passing through the points (1,4) and (-1,-2).

[tex]m_{B}=\frac{-2-4}{-1-1}[/tex]

[tex]m_{B}=\frac{-6}{-2}[/tex]

[tex]m_{B}=3[/tex]

The slope of function B is 3.

Since slope of function A is 6 and the slope of function B is 3, so we can say that the slope of function A is twice of slope of function B.

[tex]\text{Slope of Function A}=2\times \text{Slope of Function B}[/tex]

The slope of Function A is 6 and the slope of Function B is 3. Therefore, the slopes of the two functions are not equal.

The equation representing Function A is f(x) = 6x - 1.

The graph representing Function B is a line passing through the ordered pairs (1, 4), (-1, -2), and (-2, -5).

To compare the slopes of the two functions, we can calculate the slope of each function and see if they are equal.

The slope of Function A is 6, and the slope of Function B can be found using the formula (y2 - y1)/(x2 - x1) by choosing any two pairs of ordered points.

For example, using (1, 4) and (-1, -2).

The slope of Function B is (4 - (-2))/(1 - (-1)) = 6/2 = 3.

Since the slope of Function A is 6 and the slope of Function B is 3, we can conclude that the slopes of the two functions are not equal.

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Answer:

Option A is correct

Values of P = -2 and Q = -31

Step-by-step explanation:

Given the equation: [tex]2x+Q= Px-31[/tex]

Now, we put the given values

A.

Q = -31 and P = -2

2x + (-31) = -2x - 31

2x - 31 = -2x -31  

4x = -31 + 31

4x = 0

x = 0    [one solution]

B.

Q = 31 and P = 2

2x + Q = Px -31

2x + 31 = 2x -31

Subtract 2x from both sides we get

31 = -31        False.

C.

Q = -31 and P = 2

2x + (-31) = 2x - 31

2x - 31 = 2x - 31     [More than one solutions, for any x]

D.

Q = -2 and P = 2

2x + Q = Px -31

2x + (-2) = 2x -31

2x -2 = 2x -31

2x - 2x = -31 + 2      

Combine like term;

0 = -29       False.

Therefore, the values of P and Q results in an equation with exactly one solution is; P = -2 and Q = -31

Answer:

y = 3x - 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 5)

m = [tex]\frac{5+1}{2-0}[/tex] = [tex]\frac{6}{2}[/tex] = 3

the line crosses the y-axis at (0, - 1) ⇒ c = - 1

y = 3x - 1 ← equation of the line

Answer:

1 in 65 chances.

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\4\%=\dfrac{4}{100}\\\\\dfrac{9}{x}=\dfrac{4}{100}\to\boxed{B.}[/tex]

The distance between the points (-3,-4) and (5,4) is approximately 11.31 units, and the distance between the points (-3,5) and (0,1) is exactly 5 units.

To find the distance between two points in a plane, you can use the distance formula derived from the Pythagorean Theorem, which is

d² = (x2 - x1)² + (y2 - y1)²

Let's calculate the distances for the given pairs of points.

Distance between (-3,-4) and (5,4)

d² = (5 - (-3))² + (4 - (-4))²

d² = (8)² + (8)²

d = 64 + 64 = 128

d = √128

≈ 11.31

Distance between (-3,5) and (0,1)

d² = (0 - (-3))² + (1 - 5)²

d² = (3)² + (-4)²

d = 9 + 16 = 25

d = √25

d = 5

Answer:

Two complex roots.

Step-by-step explanation:

F(x)=2x^4 +5x^3 - x^2 +6x-1

is a polynomial in x of degree 4.

Hence F(x) has 4 roots.  There can be 0 or 2 or 4 complex roots to this polynomial since complex roots occur in conjugate pairs.

Use remainder theorem to find the roots of the polynomial.

F(0) = -1 and F(1) = 2+5-1+6-1 = 11>0

There is a change of sign in F from 0 to 1

Thus there is a real root between 0 and 1.

Similarly by trial and error let us find other real root.

F(-3) = -1 and F(-4) = 94

SInce there is a change of sign, from -4 to -3 there exists a real root between -3 and -4.

Other two roots are complex roots since no other place F changes its sign

Final answer:

The polynomial function has 4 complex zeros.

Explanation:

A polynomial function is a function of the form f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where a_n, a_(n-1), ..., a_1, a_0 are constants and n is a non-negative integer. The number of complex zeros of a polynomial function is equal to its degree.

The given polynomial function is f(x) = 2x^4 + 5x^3 - x^2 + 6x - 1. The highest power of x in the function is 4, so the degree of the function is 4. Therefore, the function has 4 complex zeros.

Answer:

Given : scale factor(k) = [tex]\frac{3}{4}[/tex]

Labelled the given diagram as A, B , C and D

Also, From the given quadrilateral  figure:

The coordinates are;

A=(-8, 4).

B=(-4, -4),

C=(0, -8) and

D=(4, -4)

The rule of dilation with scale factor k and centered at origin is given by;

[tex](x, y) \rightarrow (kx, ky)[/tex]

or

[tex](x, y) \rightarrow (\frac{3}{4}x, \frac{3}{4}y)[/tex]

Then, the coordinates of the dilated given figures are;

[tex]A(-8, 4) \rightarrow (\frac{3}{4}(-8), \frac{3}{4}(4)) = A'(-6, 3)[/tex]

[tex]B(-4, -4) \rightarrow (\frac{3}{4}(-4), \frac{3}{4}(-4)) = B'(-3, -3)[/tex]

[tex]C(0, -8) \rightarrow (\frac{3}{4}(0), \frac{3}{4}(-8))=C' (0 , -6)[/tex]

[tex]D(4, -4) \rightarrow (\frac{3}{4}(4), \frac{3}{4}(-4)) = D'(3, -3)[/tex]

You can see the graph given below in the attachment

Answer:

400 yd  

Step-by-step explanation:

There are 2 ft of ribbon for 1 doll.

For 600 dolls,

Ribbon = 600 × 2/1

Ribbon = 1200 ft

=====

Convert feet to yards

1 yd = 3 ft

Ribbon = 1200 × 1/3

Ribbon = 400 yd

The slope-intercept form for the line that passes through the point (8,7) and has a slope of -3/4 is y = -3/4x + 13. We found this by substituting the given slope and point into the slope-intercept equation and solving for b, the y-intercept.

We're working on a mathematics problem here that involves the slope-intercept form of a line, which is usually written as y = mx + b. Here, m represents the slope of the line and b is the y-intercept, the point where the line intercepts the y-axis.

To write an equation for this line, we're given that the line passes through the point (8,7) and has a slope (rise over run) of negative 3/4, a negative value indicating the line decreases as it moves to the right.

We can substitute the slope and the given point into the slope-intercept equation to solve for the y-intercept: 7=(-3/4)*8+b, this simplifies to: 7=-6+b, and finally b=7+6 which gives us 13.

Therefore, the slope-intercept equation for this line with a slope of -3/4 and passing through the point (8,7) is y = -3/4x + 13.

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Final answer:

The equation of the line passing through the point (8,7) with a slope of negative 3/4 is y = -3/4x + 13 in slope-intercept form.

Explanation:

To write an equation for a line in slope-intercept form given a point and a slope, we use the formula y = mx + b, where m is the slope and b is the y-intercept. For a line that passes through the point (8,7) with a slope of negative 3/4, we first input the slope into the equation, getting y = -3/4x + b. We then substitute the x and y values from the point (8,7) into the equation and solve for b: 7 = -3/4(8) + b. This simplifies to 7 = -6 + b, and adding 6 to both sides gives us b = 13. Thus, the equation of the line in slope-intercept form is y = -3/4x + 13.

Answer:

Current value of house is $106000

Step-by-step explanation:

We are given

A house valued at $100000

gains 6%in value

so,

current value = past house value + gain(%) * (past house value)

past house value =100000

gain(%)=6%

so, we can plug value

Current value is

[tex]=100000+\frac{6}{100}\times 100000[/tex]

[tex]=106000[/tex]

Answer: Hello mate!

our set of numbers is 6, 2, 3, 2, 4, and 1.

the two extremes of the set are the lower and bigger numbers, so in this case are 1 and 6, so the range of the values in the set is {1,6} and the distance between these points is 6 - 1 = 5.

this means that all the numbers in our set are in the range between 1 and 6.

Answer:

y = ⅗  

Step-by-step explanation:

  3x – 7/y = 1/3     Substitute the value of x

3×4 – 7/y = 1/3

  12 – 7/y = 1/3         Multiply each side by 3

36 – 21/y = 1             Subtract 36 from each side

      -21/y = -35          Multiply each side by y

         -21 = -35y        Divide each side by -35

            y = 21/35      Divide numerator and denominator by 7

            y = ⅗

=====

Check:

3×4 – 7/(⅗) = 1/3

  12 -7×5/3  = 1/3

    12 – 35/3 = 1/3

(36 – 35)/3 = 1/3

               1/3 = 1/3

Answer: 83485

=====================

Explanation:

The formula we will use is

A = P*(1+r)^t

with

A = final amount = unknown (what we want to find)

P = starting amount = 24000

r = growth rate in decimal form = 0.12

t = number of years elapsed = 11 (since we go from 2014 to 2025)

Plug those values mentioned into the formula. Then use a calculator to simplify

A = P*(1+r)^t

A = 24000*(1+0.12)^11

A = 24000*(1.12)^11

A = 24000*3.47854999334551

A = 83485.199840292

A = 83485

The investment will be worth about 83485 dollars

Answer:

1) [tex]\sqrt{-64}[/tex] is not a real number.

2) [tex]-\sqrt{25} =-5[/tex]

Step-by-step explanation:

1) The square root of a number is defined for real numbers if and only if the number under the square root sign is greater than or equal to zero.

This implies that [tex]\sqrt{-64}[/tex] is not a real number because [tex]-64\:<\:0[/tex]

2) [tex]-\sqrt{25} =-\sqrt{5^2} =-5[/tex].

The number under the square root sign is [tex]25[/tex], which is greater than zero. Note that the negative sign is not inside the square root sign, it is outside it.

The value √-64 is not a real number, and -√25 is a real number.

√-64 and -√25 involve taking the square root of negative numbers, which results in complex numbers because real numbers do not have square roots of negative values.

Let's evaluate both:

√-64:

The square root of -64 is denoted as √(-64). In the realm of complex numbers, it's represented as 8i, where 'i' stands for the imaginary unit. So, √-64 = 8i.

-√25:

The square root of 25 is 5, and when you add a negative sign in front of it, you get -5. So, -√25 = -5.

In summary, √-64 is not a real number, and it is equal to 8i in the realm of complex numbers, while -√25 is a real number and equal to -5.

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Answer:

10 bracelets

Step-by-step explanation:

we need to convert 5 ft to inches

1 ft = 12 inches

multiply by 5

5 ft = 60 inches

60 inches of yarn, 6 inches per bracelet

60/6 = 10

10 bracelets

Answer:

I believe a) is your answer

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(x+7)=36

Simplify: (Show steps)

2x+14=36

Answer: 24% of all employees attend night school.

Step-by-step explanation: If 40% of all employees are men and 30% of the men attend night school, we can multiply 0.40 by 0.30 to get the percentage of men who attend night school: 12% or 0.12. To find the number of women who attend night school, multiply 0.20 by 0.60(assuming percentage of men and women add up to 100%) to get 12%. Add 12% and 12% to get 24% of all employees attend night school.

Answer:

(0, 10)

Step-by-step explanation:

x=1 y=9

Up 1 means add 1 to the y coordinate

Left 1 means subtract 1 from the x coordinate

(1-1, 9+1)

(0, 10)

Answer:

Correct choice is B

Step-by-step explanation:

The function [tex]f(x)=20x[/tex] represents the situation, where x is the number of sold video games and f(x) is the total cost of sold games.

Jason  must sell a minimum of 5 games, this means that [tex]x\ge 5.[/tex]  He has 30 video games he can sell, then [tex]x\le 30.[/tex]. Thus, the domain of the function is [tex]5\le x\le 30.[/tex]

The range of the function f(x) is

[tex]20\cdot 5\le f(x)\le 20\cdot 30,\\ \\100\le f(x)\le 600.[/tex]

Answer:

The correct answer is D.

Step-by-step explanation:

p + 7 = ≤ 50

because I did it for the ECA 3 Exam. :>

The inequality which helps to find the possible values for x will be x + 7 ≤ 50.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

Total budget = $50

Ticket cost = $7

Total spent ≤ total budget

x + 7 ≤ 50

x ≤ 43

Hence "The inequality which helps to find the possible values for x will be x + 7 ≤ 50".

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Answer:

352 ft is 3.34% of mi ;

2 mi is 3000% of 352 ft

Step-by-step explanation:

To calculate : 352 ft is ___% of 2 mi and 2 mi is ___% of 352 ft.

We can calculate first:

352 is x% of 2 mi.

Solve for x;

Use conversion:

1 mi = 5280 ft

2 mi = 10560 ft

x% of 10560 ft means [tex]\frac{x}{100} \times 10560 = 105.60 x[/tex]

then, our equation become;

352 = 105.6 x

Divide both sides by 105.6 we get;

x = 3.333333...

or

x ≈3.34

Similarly, for

2 mi is y% of 352 ft

Solve for y;

2 mi = 10560 ft

y% of 352 = [tex]\frac{y}{100} \times 352 = 3.52y[/tex]

then;

10560 = 3.52 y

Divide both sides by 3.52 we get;

[tex]y = \frac{10560}{3.52}[/tex]

y = 3000

Therefore; 352 ft is 3.34% of mi ; 2 mi is 3000% of 352 ft

plug in the number of years for where x is

34,000(.84)ˣ

and then do

.84ˣ

and then when you get that answer, multiply by 34,000

Answer:

See below. The solutions are x=-1/3 and y=-4/3

Step-by-step explanation:

[tex]\frac{1}{2}\log_2 y-\log_4 x = 1\\\frac{1}{2}\log_2 y = \log_4 x+1=\log_4x+\log_4 4=\log_4 4x\\\frac{1}{2}\log_2y = log_44x\\\frac{1}{2}\frac{\log_4y}{\log_4 2}=\log_4 4x\\\log_4y=\log_44x\\4^{\log_4y}=4^{\log_44x}\\y = 4x\\\\x-y = 1\\4x -y = 0\\\rightarrow\\3x=-1\implies x = -\frac{1}{3}, y=-\frac{4}{3}[/tex]

Answer:

The answer my frind is D

Step-by-step explanation:

When you divide,

you must

blablabla

The first step in solving the equation 4x - 0.3 = 1.9 is to D) add 0.3 to both sides of equation, isolating the term with the variable 'x'.

The question is asking how to begin solving the equation 4x - 0.3 = 1.9 for the variable x.

This balances the equation and moves us closer to discovering what x is, so the correct option would be 'D. Add 0.3 to both sides of the equation'.

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Answer:

Area = 18

Step-by-step explanation:

We know that a square has side lengths of s

We can use the Pythagorean theorem to find s

a^2 + b^2 = c^2

We know that the hypotenuse or c = the length of the diagonal or 6

Substituting in what we know

s^2 + s^2 = 6^2

2s^2 = 36

Divide each side by 2

2s^2/2 = 36/2

s^2 = 18

Take the square root of each side

sqrt(s^2) = sqrt(18)

We only have to take the positive square root since it is a length

s = sqrt(9) sqrt(2)

s= 3sqrt(2)

The side length of the square is 3sqrt(2)

To find the area, we multiply the side  by the side or s^2

s^2 =  (3sqrt(2))^2

From above

s^2 = 18

Answer: Answer : Answer : 15,30,45,60,75,90,105,120,135,150,165,180,195,210,225,240,255,270,285,300,315,330,345,360,375,390,405,420,435,450,465,480,495,510,525,540,555,570,585,600,615,630,645,660,675,690,705,720,735,

Step-by-step explanation: