Vivian is going to do some yard work, but she needs to leave her house at 1:00 to go to a football game. She is going to mow the lawn for 1 hour and 10 minutesl, trim some bushes for 30 minutes, and put down some mulch for 35 minutes. She will also need 20 minutes to shower and get dressed. What time should she start the work so she will be ready at 1/00 ?

Answer:

R''(2,-3), S''(-2,-1) and T'(-1,-5).

Step-by-step explanation:

The given vertices of triangle are R(2, 3), S(-2, 1), and T(-1, 5).

Reflection over the y-axis:

[tex](x,y)\to (-x,y)[/tex]

Using this rule, the vertices after reflection are

[tex]R(2,3)\to R'(-2,3)[/tex]

[tex]S(-2,1)\to S'(2,1)[/tex]

[tex]T(-1,5)\to T'(1,5)[/tex]

Rotation at 180 degrees around the origin.

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, the vertices after reflection are

[tex]R'(-2,3)\to R''(2,-3)[/tex]

[tex]S'(2,1)\to S''(-2,-1)[/tex]

[tex]T'(1,5)\to T''(-1,-5)[/tex]

Therefore, the coordinates of vertices after the two transformations are R''(2,-3), S''(-2,-1) and T'(-1,-5).

Answer:

It's equal =3

Answer:

y = -5x - 29

Step-by-step explanation:

y-intercept form is y = mx +b,

m is slope, for parallel line slope is the same, so m= -5

y = -5x + b

To find b, we need to use the point (-5, - 4).

- 4 = -5*(-5) + b

- 4 = 25 + b

b = - 29

y = -5x - 29

Answer:

4+2/5+3=3/4 slope

Step-by-step explanation:

sssllllooooppppeeee

Answer:

0.3 or 30%

Step-by-step explanation:

Blue = 1/10

Red = 2 white

**************

White + red = 1 - 1/10

White +2white= 9/10

White = 3/10

Red = 6/10

So probability of white ball is 3/10 or 30%

Answer:

[tex] \boxed{ \bold{ \sf{x = 25°}}}[/tex]

[tex] \boxed{ \bold{ \sf{(x + 5) = 30°}}}[/tex]

[tex] \boxed{ \bold{ \sf{5x = 125°}}}[/tex]

Step-by-step explanation:

We know that sum of angle of triangle adds up to 180°

Finding the value of x

[tex] \sf{5x + x + x + 5 = 180°}[/tex]

Collect like terms

⇒[tex] \sf{7x + 5 = 180}[/tex]

Move 5 to right hand side and change its sign

⇒[tex] \sf{7x = 180 - 5}[/tex]

Subtract 5 from 180

⇒[tex] \sf{7x = 175}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{175}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 25°}[/tex]

Finding the value of ( x + 5 )°

[tex] \sf{x + 5}[/tex]

plug the value of x

⇒[tex] \sf{25 + 5}[/tex]

Add the numbers

⇒[tex] \sf{30°}[/tex]

Finding the value of 5x

[tex] \sf{5 \times 25}[/tex]

Multiply the numbers

⇒[tex] \sf{125°}[/tex]

Hope I helped!

Best regards!!

Answer:

x° = 25°

(x + 5)° = 30°

5x° = 125°

Step-by-step explanation:

total angle inside the triangle = 180 = x + (x+5) + 5x

180 = x + x + 5 + 5x

group like terms

7x + 5 = 180

subtract 5 each sides

7x = 175

x = 175/7

x = 25°

solve for : (x + 5)°

(x + 5)° = 25 + 5

(x + 5)° = 30°

solve for 5x°

5x° = 5 * 25

5x° = 125

check

180 = x + (x+5) + 5x

180 = 25 + (25+5) + (5*25)

180 = 25 + 30 + 125

180 = 180

Answer:

x is the variable

Step-by-step explanation:

The variable is the letter in the expression

x is the variable

5 is the coefficient of the variable

7 is the constant

Answer:

Step-by-step explanation:

Given the limit of a function expressed as [tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})[/tex], we are to evaluate it. To evaluate it, we will simply substitute x = 1 into the function since the variable x tends to 1.

[tex]\lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= (\dfrac{3(1)}{1-1} - \dfrac{3}{ln1})\\\\= \dfrac{3}{0} - \dfrac{3}{0}\\\\= \infty - \infty (ind)[/tex]

Since we got an indeterminate function, we will find the LCM of the function and solve again.

[tex]= \lim_{x \to 1} (\dfrac{3x}{x-1} - \dfrac{3}{lnx})\\\\= \lim_{x \to 1} \dfrac{3xlnx-3(x-1)}{(x-1)lnx}\\\\\\= \dfrac{3(1)ln(1)-3(1-1)}{(1-1)ln1}\\\\= \frac{3(0)-3(0)}{0(0)} \\\\= \frac{0}{0} (ind)[/tex]

Applying L'hospital rule;

[tex]\frac{x}{y} = \lim_{x \to 1} \dfrac{d/dx(3xlnx-3(x-1))}{d/dx((x-1)lnx)}\\\\= \lim_{x \to 1} \dfrac{3x(\frac{1}{x})+ 3lnx-3)}{(x-1)\frac{1}{x} +lnx}\\\\= \lim_{x \to 1} \dfrac{3 + 3lnx-3}{(x-1)\frac{1}{x} +lnx}\\\\= \frac{3ln1}{(1-1)\frac{1}{1} +ln1}\\\\= \frac{0}{0} (ind)[/tex]

Applying L'hospital rule again;

[tex]= \lim_{x \to 1} \dfrac{\frac{d}{dx} (3lnx)}{\frac{d}{dx} ((x-1)\frac{1}{x} +lnx)}\\\\= \lim_{x \to 1} \dfrac{\frac{3}{x} }{(x-1)\frac{-1}{x^2} + \frac{1}{x} +\frac{1}{x} }\\\\= \dfrac{\frac{3}{1} }{(1-1)\frac{-1}{1^2} + \frac{1}{1} +\frac{1}{1} }\\\\= \frac{3}{0(-1)+2}\\ \\= \frac{3}{2-0}\\ \\= 3/2[/tex]

Hence the limit of the function is 3/2.

Answer: It depends on how you round but about 10.44 m.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Rate ( R ) = 4.75 %

Time ( T ) = 25 years

Simple Interest ( I ) = $ 4,750

Principal ( P ) = ?

Finding the principal

We know that,

[tex] \boxed{ \sf{principal = \frac{interest \: \times 100}{ \: time \: \times \: rate} }}[/tex]

plug the values

⇒[tex] \sf{ \frac{4750 \times 100}{4.75 \times 25} }[/tex]

Calculate

⇒[tex] \sf{\frac{475000}{118.75} }[/tex]

⇒$ [tex] \sf{4000}[/tex]

Hope I helped!

Best regards!!

Answer:

2000

Step-by-step explanation:

ne s o

Step-by-step explanation:

Answer:

A= Area

B= Base of the figure

H= Height of the figure

B and H are multiplied together to find the area

Step-by-step explanation:

Answer:

∠ OLM = 47°

Step-by-step explanation:

Given:

∠ NLO = 41°

∠ NLM = 88°

Find:

∠ OLM

Computation:

⇒ ∠ NLM = ∠ NLO + ∠ OLM

⇒ 88° = 41° + ∠ OLM

⇒ ∠ OLM = 88° - 41°

⇒ ∠ OLM = 47°

Answer:

47

Step-by-step explanation:

Answer:

2 eurocent per kilo

Step-by-step explanation:

Since we are already given the conversion units, we only simply need to divide/multiply and cancel out units.

Dollars and dollars cancel out.

We are left with eurocent.

Pounds and pounds cancel out.

We are left with kilograms.

We do want eurocent over kilograms.

0.89(0.93) = 0.8277/0.4536 = 1.82474

Since we want to round it to the nearest cent, we round up because 8 ≥ 5:

1.82474 ≈ 2

Answer:

GDE = 63

EDH = 63

GDH = 126

FDG = 74

FDH = 200

FDE = 137

Step-by-step explanation:

It is stated that DE bisects <GDH. Since bisecting means halving into equal parts, <GDE = <EDH

from the question,

<GDE = (8x-1)

<EDH = (6x+15)

Since <GDE = <EDH,

(8x-1) = (6x+15), if we collect like terms

8x - 6x = 15 + 1

2x = 16

x = 8°

Again, from the diagram, we see that

<GDH = <GDE + <EDH, thus

<GDH = (8x-1) + (6x+15)

<GDH = 8x -1 + 6x + 15

<GDH = 14x + 14, substitute for x

<GDH = 14*7 + 14

<GDH = 112 + 14

<GDH = 126°

<FDG = 180 - <CDF - <GDE

<FDG = 180 - 43 - 63

<FDG = 74°

<FDH = <FDG + <GDE + <EDH

<FDH = <FDG + <GDH

<FDH = 74 + 126

<FDH = 200°

<FDE = <FDG + <GDE

<FDE = 74 + 63

<FDE = 137°

The measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

The straight angle ∠CDE, DE bisects GDH, m∠GDE=(8x-1)°, m∠EDH=(6x+15)° and m∠CDF=43°.

Here, m∠GDE+m∠EDH+m∠CDF = 180°

So, (8x-1)°+(6x+15)°+43°=180°

14x+57°=180°

14x=180°-57°

14x=123

x=123/14

x=8.8°

m∠GDE=8x-1

= 71.4°

m∠EDH= 65.6°

Hence, the measure of angle m∠GDE is 71.4° and the measure of angle m∠EDH is 65.6° on straight angle ∠CDE.

Learn more about the angles at a point on a straight line here:

https://brainly.com/question/28109229

#SPJ6

Answer:

hey!

Your answer is ...

-48 , -26 , -5 , 4 , `12

Step-by-step explanation:

HOPE THIS HELPED!

:)

Hello! :)

Answer:

[tex]\huge\boxed{x = (\frac{b}{a})(P+c)}[/tex]

[tex]\frac{a}{b}x - c = P[/tex]

Solve for x:

Begin isolating the variable by adding "c" to both sides:

[tex]\frac{a}{b}x - c + c= P + c[/tex]

[tex]\frac{a}{b}x = P+ c[/tex]

Divide both sides by a/b, or multiply by the reciprocal (b/a)

[tex](\frac{b}{a}) \frac{a}{b}x = (\frac{b}{a})(P + c)[/tex]

Therefore:

[tex]x = (\frac{b}{a})(P + c)[/tex]

Answer:

8n - 7 = 5

Step-by-step explanation:

number  -  n

product of 8 and a number    -    8n

Seven less than the product of 8 and a number  -    8n - 7.

Seven less than the product of 8 and a number is equal to 5.

8n - 7 = 5

Answer:

8n-7=5

you can do this

i cand do explaination

Answer:

0.75

Step-by-step explanation:

Answer:

$1.33 per ticket cost

Step-by-step explanation:

5 / $3.75 = $1.33 per 1 ticket cost

Answer:

  see below

Step-by-step explanation:

See the attachment.

The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.

The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.

The minimum value of the function is at x=2, so is ...

  y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2

Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.

Answer:

C.

Step-by-step explanation:

You will need to divide the miles in order to understand how much fuel

Answer:

False

Step-by-step explanation:

The given statement is false because behavioral field study deals with the cognitive processes during field study or task.

In the given statement only the physical strength of the students is measured while behavioral field study measures or explores human behavior and how or what techniques are students using to perform the field task.

Hence, the correct option is "False".

Answer:

The range of the function is -10, 10.

 The period of the function is 1.2 seconds.

The maximum of the function is 10 centimeters.

Step-by-step explanation:

The range of a cosine function is the set of output values. In this situation, the range is the distance the pendulum covers, which is represented on the D(t) axis. The graph shows that the range of the function D(t) is [-10, 10].

The period is the length of a cycle. The graph shows that the cycle repeats every 1.2 seconds.

The maximum is the y-value of the highest point on the graph. The graph shows the maximum of the function is 10 centimeters.

Answer:

Last one - CD with a line over it with arrowheads.

Step-by-step explanation:

Last one - CD with a line over it with arrowheads.

It is proven that "the sum of the squares of four consecutive integers is an even integer" is the solution part.

To prove that the sum of the squares of four consecutive integers is an even integer, we need to show that it can be expressed as twice another integer.

Let's assume the four consecutive integers are n, n+1, n+2, and n+3.

The sum of their squares can be expressed as:

[tex]n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2[/tex]

Expanding the squares, we have:

[tex]n^2 + (n^2 + 2n + 1) + (n^2 + 4n + 4) + (n^2 + 6n + 9)[/tex]

Combining like terms, we simplify this expression to:

[tex]4n^2 + 12n + 14[/tex]

Now, let's consider this expression [tex]4n^2 + 12n + 14[/tex].

We can factor out 2 from each term, resulting in:

[tex]2(2n^2 + 6n + 7)[/tex]

Since [tex]2n^2 + 6n + 7[/tex] is an integer, let's denote it as k, where k is an integer.

Therefore, the expression becomes:

2k.

We have successfully expressed the sum of the squares of four consecutive integers as twice another integer (2k), which proves that it is an even integer.

Hence, the sum of the squares of four consecutive integers is an even integer.

Learn more about Integers here :

brainly.com/question/1768254

#SPJ4

Answer:

No it's not equal

Step-by-step explanation:

Answer:

6x^2

Step-by-step explanation:

Because we are multiplying 6 and a number x squared, we know that x will have an exponent of 2. Then, multiplying that by 6 and using conventional algebraic techniques, we can combine the two terms together.

6 * x^2

6x^2

Answer:

[tex]\displaystyle \rm \longmapsto 6 \times x {}^{2} [/tex]

[tex]\displaystyle \rm \longmapsto {6x}^{2} [/tex]

Answer:

d. People as resources

Step-by-step explanation:

organisational behavior is the study of human behavior in an organization, the interface between human behavior and the organization, and the organization itself. It studies layers of organisational behavior in the level of individual players in an organisation, work group of individual players in an organization, and the nature of interaction between organizations on the larger scale. One of the perspective of study of organizational behavior is to study people as  resources.

Answer:

12.2

Step-by-step explanation:

By Pythagoras theorem:

[tex] {x}^{2} = {10}^{2} + {7}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149} \\ x = 12.2065556 \\ x \approx \: 12.2[/tex]