When Logan left his house this morning, his cell phone was 24% charged and it then started to lose 3% charge for each hour thereafter. Write an equation for B, in terms of t, representing the charge remaining in Logan's battery, as a percentage, t hours after Logan left his house.

Example 1: For Δ ABC, show that AB = AC and Δ ABC is isosceles if the bisector AD of ∠ A is perpendicular to side BC. Also, this condition satisfies the properties of the isosceles triangles.

thus, Δ ABC is an isosceles triangle.

Example 2: Prove that △ACF≅△AEB, if ∠C=∠E and AC=AE.

Danielle Stevenson receives $2600.

What is a total amount?

A total is the sum of several numbers or the number of items in a group, as determined by addition or counting.

Here, we have

Danielle Stevenson receives a commission of 6.5% for selling a $160,000 house.

One-half of the commission goes to the broker and one-half of the remainder to another salesperson.

We have to find out how much amount she receives.

Danielle has a 6.5% × $160,000 = $10400

Then, Danielle half of $10400 to the broker so she remains $10400 × 1/2 = $5200

Now,

Danielle one-half of the $5200 to another salesperson. so she gets $5200 × 1/2 = $2600

Hence, Danielle Stevenson receives $2600.

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None of the measurement of the sides of the triangle forms a right triangle.

A right triangle is a triangle that has one of its angles as 90 degrees. The measurement of the side of a right triangle can be found using Pythagoras's theorem.

Therefore,

c²= a² + b²

where

Therefore, the measurement of the triangles that forms a right triangle is none of the options

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Answer:

compares

Step-by-step explanation:

Answer step-by-step explanation:

Step 1: Write out the cross T = tall, t = short Tt x Tt.

Step 2: Draw 2 by 2 Punnett square.

Step 3: Write the alleles for parent 1 on.

the left side of the Punnett square.

Step 4: Write the alleles from parent 2.

above the Punnett square.

in essence, find "x" when y = 196

[tex]y = \cfrac{1}{25}x^2\qquad \stackrel{\textit{when y = 196}}{196=\cfrac{1}{25}x^2}\implies (196)(25)=x^2 \\\\\\ \sqrt{(196)(25)}=x\implies {\Large \begin{array}{llll} \stackrel{\frac{m}{h}}{70}=x \end{array}}[/tex]

Answer: i think its 58.9997

Step-by-step explanation:

Answer:

x ≈ 15.62

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 12² + 10² = 144 + 100 = 244 ( take square root of both sides )

x = [tex]\sqrt{244}[/tex] ≈ 15.62 ( to the nearest hundredth )

The equation of Kevin's scenario is 4x + 2y = 45

From the question, we have the following parameters

Represent the buckets of popcorn with x and the number of drinks with y

So, we have the following equation

4x + 2y = total amount

This gives

4x + 2y = 45

See attachment for the graph

An absolute function is represented as

y = a|x - h| + k

Where the vertex is (h, k)

So, we make use of the following function

y = 2|x - 3| + 5

See attachment 2 for the graph

Here, we are to make use of any equation

A linear equation is represented as

y = mx + b

Where

slope = m

y-intercept = b

So, we make use of

m = 2 and b = 3

This gives

y = 2x + 3

When transformed 2 units up and 3 units down, the resulting equation is

y = 2x + 2 - 3

Evaluate

y = 2x - 1

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Answer:    y=-1/2x+4

Step-by-step explanation:

The player has a total plate of 1985 plate appearances (optionD)

Addition is a way of combining things and counting them together as one large group. Addition is a process of combining two or more numbers. Addends are the numbers added, and the result or the final answer we get after the process is called the sum. For example if there a 5oranges, 6 bananas and 9 pineapple Ina basket. The total fruit in the basket is 5+6+9= 20 fruits

The baseball player has 746 plate appearances in his first year and 727 plate appearances in the second year and 512 in his third year.

The total plate appearances = 746+727+512=1985 plate appearances

Therefore the plate appearance the player had in three years is 1985 plate appearances.

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Answer:

-3 <-1

-3 is less than -1.

Answer:

see below

Step-by-step explanation:

1. Notice that your inequalities have ≤ and >. So one of the lines on the graph must be dotted, eliminating the bottom two choices.

2. The lines on both of the top choices are graphed identically, so now it's all about shading. The best way to determine correct shading is by testing a point to see if it makes a true statement in BOTH inequalities.

 a) Choose a point in the shaded region of the first option (I highly recommend (0,0)!!). Replace x and y in each inequality with the x and y from the point, and evaluate:

     0 ≤ 2(0) + 1?  ⇒  0 ≤ 1 TRUE

     0 > -2(0) - 3  ⇒  0 > -3 TRUE

 b) Since that point made both true statements, the first option is correct. If EITHER statement had been false, you would need to try a point in the shaded region of the second option. I recommend any where x=0 or y=0.

Answer:

.4 times 45

That means it snowed 63 inches

Step-by-step explanation:

Answer:

-5 johu tella no for the best

Step-by-step explanation:

one sfeoo by and the offer and the nd.

The units of the slope is dollars per unit.

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the phone company charges for service as follows:

C(n) = 27 + 0.08n

where

n is the number of minutes talked, and C(n) is the monthly charge in dollars.

Therefore, the units of the slope in dollars per minutes.

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The rate of change for the given equation is 4.

The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to coordinates of x can found out as

Δy/ Δx = (y2 - y1 )/ (x2 - x1).

Given an equation, y = 4x + 100

Slope = 4

Hence, The rate of change for the given equation is 4.

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Answer:

y=-[tex]\frac{5}{3}[/tex]x-4

Step-by-step explanation:

find the slope m = [tex]\frac{y2-y1}{x2-x1}[/tex]

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

m=-[tex]\frac{5}{3}[/tex]

Use the slope and one of the points to solve for the y-intercept

y1=mx1+b

6=-[tex]\frac{5}{3}[/tex](-6)+b

6=10+b

b=6-10

b=-4

plug the values for m and b into y=mx+b

y=-[tex]\frac{5}{3}[/tex]x-4

Answer:

First find the slope.

m=y2-y1 / x2-x1

m= 1-6

-3-(-6)

m=-5

-3+6

m=-5

3

m= -1.6

y-y1=m(x-x1)

y-6= -1.6(x-(-6))

y-6= -1.6x+6

Two triangles are congruent if they satisfy SSS or ASA or SAS or AAS or RHS criteria.

What is the meaning of congruent triangles?

If two triangles have both the same shape and the same size then it is said that the two triangles are congruent. In other words, two triangles are congruent if they are copies of each other.

We can prove that two triangles are congruent if they satisfy any one of the following criteria:-

SSS (side side side ):- If three sides of one triangle are equal to the corresponding three sides of the other triangle.

SAS ( side angle side ):- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle.

ASA ( angle side angle ):- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle.

AAS ( angle angle side ):- If two angles and a none included side of a triangle are equal to the corresponding angles and side of another triangle.

RHS (right hypotenuse side ):- If the hypotenuse and one side of the right triangle are equal to the corresponding side and the hypotenuse of another triangle.

Hence, two triangles are congruent if they satisfy any one of the criteria of congruence (SSS, ASA, SAS, AAS or RHS).

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The length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

So, the length of the radius of the circle is:

The formula for the circle's general equation is: (x - h)² + (y - k)² = r²

Where, the center is (h, k) and the radius is represented by r.

The equation we have: x² + y² = 8

Then, r² = 8

Taking square root as follows:
r = √8

r = √2*2*2

r = 2√2

Therefore, the length of the radius of the given circle with the equation x² + y² = 8 is 2√2 units.

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Correct question:
What is the radius of the circle whose equation is x² + y² = 8?

Answer:

It is common to dilate photos to fit the space that you want it to fit. In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence. In architecture.

Step-by-step explanation:

Answer:

66 wolves

Step-by-step explanation:

Consider now as the initial point, with the intiial population ([tex]y_{0}[/tex]) being 58  at  t=0.

We are looking for the population (y) in five years, aka when t=5. So let's sub in what we know into our equation to get the answer:

[tex]y=y_{0}e^{0.027t}[/tex]

[tex]y=(58)}e^{0.027(5)}= 66.3831334924[/tex]

Solution of the system of linear equation 3a + 6b = 45 , 2a -2b = -12 is equal to a = 1 and b =7.

As given in the question,

System of linear equation are:

3a + 6b = 45 __( 1 )

2a - 2b = -12 __(2 )

Solution of the linear equation by elimination method is given by:

Multiply ( 2 ) by 3 and add it to (1) we get,

3a + 6b = 45

6a - 6b = -36

9a         = 9

⇒ a = 1

Substitute the value of a = 1 in (1) we get,

3( 1 ) + 6b = 45

⇒ 6b = 42

⇒ b = 7

Therefore, the solution of the system of linear equation is a = 1 and

b =7.

The complete question is :

What is the solution (a, b) to this system of linear equations?

3a+6b = 45 ,  2a-2b = -12

a. (-27, 6)

b. (-1, 7)

c. (1, 7)

d. (27, -6)

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Answer:

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

What is a Parent Function?

A parent function is an equation in the simplest form of a family of functions. A family of functions is a collection of functions that represent similar characteristics and/or transformations of its parent function. A parent function can be represented with different degree values such as degrees 1, 2, or 3.

The most basic parent function is called a constant function. A constant function is one such that y = b, where b is the constant value. A constant function creates a straight horizontal line that will intersect the y -axis.

Hence the answer is A parent graph is the graph of a relatively simple function. By transforming the function in various ways, the graph can be translated, reflected, or otherwise changed.

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Answer:

a) 121 feet ; b) 5 seconds

Step-by-step explanation:

maximum height = y coordinare of vertex

x coordinate = -72/2 * -16

-72/-32 = 9/4 = 2.25

y coordinate =

-16(2.25)^2 + 72(2.25) + 40

-81 + 162 + 40

-81 + 202 = 121 feet

The ball hits the ground when y = 0

-16t^2 + 72t + 40 = 0

-2t^2 + 9t + 5 = 0

discriminant = 81 -4 (-2 * 5) = 81 -4(-10) = 81 + 40 = 121

We are searching only positive value

t = (-9 -11)/-4 = -20/-4 = 5 seconds

Answer:

x

Step-by-step explanation:

x

Answer:

Step-by-step explanation:

the answer is 8

We isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

According to the question,

We have the following information:

Isolating a variable by dividing each side of the equation in which one side does not contain any variable.

Now, in this case, it is clearly stated that the first step to isolate the variable from the equation is to perform division.

Now, this can be done as follows in the given equation:

2x = 14

Now, the variable x can be isolated by dividing both sides of the equation by 2:

x = 14/2

x = 7

Hence, we isolate the variable in an equation by dividing both sides of the equation in which one side does not contain any variable.

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3/4 add to 5/7 is 1 and 13/28