**Answer:**

(-3,6)----> (0,5)

(9,-8)----> (6,-9)

**Step-by-step explanation:**

The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.

help me please!!!!!!!!

If [tex]$f(x)=4^x$[/tex] and [tex]$g(x)=4^{x+1}-3$[/tex] be the two **functions **then **Horizontal translation **1 units right.

An **expression**, **rule**, or law in mathematics that establishes the relationship between an **independent variable **and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the **function's domain **and **codomain**, respectively.

Let [tex]$f(x)=4^x$[/tex] and [tex]$g(x)=4^{x+1}-3$[/tex]

We can see that in place x , we have x + 1

so, f(x) exists shifted right side by 1 unit

and we can see that 2 exists added to y-value

so, it exists shifted upside by 2 units

**horizontal translation **1 unit right

**vertical translation **2 units up

Therefore, the correct answer is option e) Horizontal translation 1 units right.

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Evaluate. −8+(6+4)÷(−2)

**Answer:**

-1

**Step-by-step explanation:**

-8+10÷(-2)

2÷(-2)

-1

It’s -13 cause you have to divide before you add

The figures below are congruent. Name the corresponding sides.

**Answer:**

AC=KM

AB=KL

BC=LM

**Step-by-step explanation:**

**Answer:**

AC=MK

AB=KL

BC=LM

This are corresponding sides

i need help with this

∠1 and ∠8 are **supplementary** angles, ∠5 and ∠6 are **Congruent**, ∠6 and ∠8 are **Congruent** .

**Supplementary** **angles** are those angles that sum up to 180 degrees. Two or more angles that are identical to each other are referred to as **Congruent** **angles**.

We are provided with the figure shown in the question. We need to name the angles provided or need to tell the relation between two angles.

∠1 and ∠8 are supplementary angles as there **sum** is 180°.

∠1 + ∠8 = 180°

So, angle ∠1 and ∠8 are supplementary.

∠5 and ∠6 are Congruent as they are **identical** to each other.

∠5 = ∠6

∠6 and ∠8 are Congruent as they are identical to each other.

∠6 = ∠8

Thus, we can **conclude** that ∠1 and ∠8 are supplementary angles, ∠6 and ∠8 are Congruent , ∠5 and ∠6 are Congruent.

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I need help with this please

A.) 0.5403

B.) 0.8415

B.) 0.8415

Skate world offers birthday parties for a fee of $130 plus $3 per person. If you can spend no more than $190 on your party. What is the maximum number of people who can attend?

**Answer: 20**

**Step-by-step explanation:**

**130+60= 190**

**60 ÷ 3 = ****20**

I like kinda need the answer to that : P

**Answer:**

its 16

**Step-by-step explanation:**

**Answer:**

FG = 16

**Step-by-step explanation:**

the angle between EF ( y- axis) and EH (x- axis) is right

thus the 4 angles in EFGH are right angles meaning the figure is a square.

the sides of a square are congruent , so

GH = FG , that is

3x + 1 = x + 11 ( subtract x from both sides )

2x + 1 = 11 ( subtract 1 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

FG = x + 11 = 5 + 11 = 16

the slop of (4,10) and (6,9)

**Answer: **[tex]\frac{1}{-2}[/tex]

**Step-by-step explanation:**

Slope =

[tex]\frac{Y2-Y1}{X2-X1}[/tex]

[tex]\frac{10-9}{4-6}[/tex]

[tex]\frac{1}{-2}[/tex]

Evaluate |-15| + |-6|.

**Answer:**

21

**Step-by-step explanation:**

The **absolute value** of an expression is *its distance from 0*.

For example, take the number -5:

<-------|------------------|------------->

-5 0

It is 5 units to the left of zero, so its absolute value is 5, *NOT* -5 because distance is always positive, no matter the direction.

To evaluate the given expression, first find each absolute value:

[tex]|-15| = 15, \, \, \, \, \, \, |-6| = 6[/tex]

Then, simplify:

[tex]|-15| + |-6| \\ =15 + 6 \\= 21[/tex]

So, the evaluated expression is **21**.

with show work. trigonometry

**Answer:**

See below

**Step-by-step explanation:**

To find pole height

for a right triangle

sin 38 = opposite leg / hypotenuse = height /15 m

sin 38 = height / 15

15 sin 38 = **height = 9.2 meters**

To find rope DC

Use pythagorean theorem ( you have leg1 = height and leg 2 = 10.7)

DC ^2 = 9.2^2 + 10.7^2

** DC = 14.1 m **

1. Write a matrix to represent the following system.

[tex]\left \{ {{-9x+4y =1} \atop {7x-9=5}} \right.[/tex]

Complete the matrix below.

[ _ _ | _ ]

[ _ _ | _ ]

[ _ _ | _ ]

2. Write a matrix to represent the following system.

[tex]\left \{ {{-5x+6y=1} \atop {5x-2y=9}} \right.[/tex]

Complete the matrix below.

[ _ _ | _ ]

[ _ _ | _ ]

[ _ _ | _ ]

The **augmented matrices **for each system are given as follows:

**1.**

[ -9 4 | 1 ]

[ 7 0 | 14]

**2.**

[ -5 6 | 1 ]

[ 5 -2 | 9]

How to build the augmented matrix of a system of equations?For a system of n variables, the **first n columns** of the matrix are composed by the coefficients of the variable of the system.

The two systems in this problem have **variables x and y**, hence:

Then the** last column** is composed by the values on the right side of the equations, that is, the **results **of the operations.

The **second **equation of the **first **system is:

7x - 9 = 5 -> 7x + 0y = 14 (this format is needed to build the augment matrix.

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Help ASAP Giving 20 Points

**Answer:**

10.9 feet

**Step-by-step explanation:**

its Pythagoras but reversed. So instead of a squared plus b squared equals c squared its (c squared)-(a squared) equals (b squared)

so (12x12) - (5x5) = 119

square root of 119 is 10.9

sorry im replying on phone i cant do exponents and stuff

Round 2.629 to the nearest tenth.

**Answer:**

2.6

**Step-by-step explanation:**

cause it is 2.6299999999

2.629 to the **nearest tenth **is 2.6.

**Decimals **are numbers that have two components, a whole number component and a **fractional **component, which are separated by a decimal point.

Given:

A **decimal **number,

2.629.

Here, 2 is the **whole **number component and 0.629 is the **fractional** component part.

To **round **the number to the **nearest tenth**:

The number in tenth **place **is 6.

And the value **right next **to 6 is 2.

6 > 2.

So, the number will stay the same.

2.629 = 2.63

Then 2.63 = 2.6 to the **nearest **tenth.

Therefore, 2.6 is the required **decimal**.

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PLEASE HELP

y= -2x^2+4x

Direction of opening

Equation of the axis of symmetry (x =___)

Coordinates of the vertex (x,y)

y-intercept (y=_)

Zeroes (if it has 2,1 or no zeroes)

maximum or minimum (y=_)

Vertex: (1, 2)

AOS: x = 1

Y - intercept: (0 ,0)

Zeros: 0, 2

Maximum

AOS: x = 1

Y - intercept: (0 ,0)

Zeros: 0, 2

Maximum

**Answer:**

see explanation

**Step-by-step explanation:**

given a quadratic in standard form

y = ax² + bx + c (a ≠ 0 )

• if a > o then curve opens up

• if a < 0 then curve opens down

for y = - 2x² + 4x ← in standard form with a = - 2, b = 4 and c = 0

here a = - 2 < 0 so curve opens down

-------------------------------------------------

the axis of symmetry is a vertical line passing through the vertex

the x- coordinate of the vertex, which is also the equation of the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{4}{-4}[/tex] = 1

equation of axis of symmetry is x = 1

substitute x = 1 into the equation for y- coordinate of vertex

y = - 2(1)² + 4(1) = - 2 + 4 = 2

vertex = (1, 2 )

-----------------------------------------------------

to find the zeros let y = o , that is

- 2x² + 4x = 0 ← factor out - 2x from each term

- 2x(x - 2) = 0

equate each factor to zero and solve for x

- 2x = 0 ⇒ x = 0

x - 2 = 0 ⇒ x = 2

the zeros are x = 0 and x = 2

-----------------------------------------------------------

since the graph opens down then it has a maximum value

this is the y- coordinate of the vertex

thus maximum at y = 2

Need help finding the perimeter

13 + √85/3 is the perimeter of **triangle **.

**Explain what a triangle is.**

The points P ( - 3 , -8 ) Q ( - 3, - 1) R ( -9,-8)

Distance between PQ = [tex]\sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} }[/tex]

= [tex]\sqrt{( - 1 + 8)^{2} + ( -3 + 3)^{2} }[/tex]

= [tex]\sqrt{( -7 )^{2} +0 }[/tex]

= √49 ⇒ 7

Distance between QR = [tex]\sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} }[/tex]

= [tex]\sqrt{( -9 + 3 )^{2} + ( -8 + 1)^{2} }[/tex]

= [tex]\sqrt{(- 6)^{2} + ( - 7)^{2} }[/tex]

= [tex]\sqrt{36 + 49}[/tex]

= √85

Distance between RP = [tex]\sqrt{( x_{2} - x_{1})^{2} + ( y_{2} - y_{1})^{2} }[/tex]

= [tex]\sqrt{( - 3 + 9)^{2} + ( -8 + 8)^{2} }[/tex]

= [tex]\sqrt{(6)^{2} }[/tex]

= √36

= 6

perimeter = PQ + QR+RP/3

= 7 + √85 + 6/3

= 13 + √85/3

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22. Which expression is equivalent to

0.71 × 2.8?

A

(B

(71 x 28) x (0.01 × 0.1)

(71 x 28) x (0.1 x 0.1)

(0.71 x 2.8) x (0.01 × 0.1)

D (71 x 28) x (100 × 10)

**Answer: A**

**Step-by-step explanation:**

A (71x28) x (0.01x0.1) = 0.71 x 2.8

B (71 x 28) x (0.1 x 0.1) = 7.1 x 2.8

C (0.71 x 2.8) x (0.01 × 0.1) = 0.0071 x 0.28

D (71 x 28) x (100 × 10) = 7100 x 280

Laura's Coffee Shop makes a blend that is mixture of two types of coffee. Type A coffee costs Laura $5.65 per pound, and type B coffee costs $4.35 per pound. This month, Laura made 158 pounds of the blend, for a total cost of $775.70. How many pounds of type A coffee did she use?

[tex]a=68\: lbs,\: b=90\: lbs[/tex]

**1) ** We can solve this problem by setting up a **System of Linear Equations**. So, based on this text, we can write out the following equations:

Note that the first equation relates itself to the total cost, and the second one to the amount of blend.

**2) ** Now, we can solve this system of Linear Equations by the **Elimination Method. **Let's multiply the second equation by -5.65 so that we can add them both and eliminate "a"

Now, we can plug into the second equation b=90 and then solve it for a:

[tex]\begin{gathered} a+b=158 \\ a+90=158 \\ a+90-90=158-90 \\ a=68 \end{gathered}[/tex]**Thus, the answer is:**

tell whether 15/35 and 3/7 are proportions

Yes they are proportions.

because

15 / 5 = 3

35 / 5 = 7

Therefore if you divide the numerator and denominator of the first fraction by 5, you will get the second fraction

because

15 / 5 = 3

35 / 5 = 7

Therefore if you divide the numerator and denominator of the first fraction by 5, you will get the second fraction

the population of bacteria in a culture grows at a rate proportional to the number of bacteria present at time t. after 3 hours it is observed that 400 bacteria are present. after 10 hours 2000 bacteria are present. what was the initial number of bacteria?

The initial number of **bacteria** in a culture is found as 200.

Using the model P = P₀e^(kt),

Where:

P(t) = the amount of** bacteria **at time t = 2000.

P₀ = initial amount at time t = 0

r = growth rate

t = time (number of periods)

k is the** growth constant.**

For t = 3 hours.

400 =P₀e^(k*3) ......eq 1

2000 = P₀e^(k*10) ......eq 2

Re writing eq 1.

400 = P₀e^(k*3)

as (400/P₀) = [e^k]^3,

Solve for e^k,

∛(400/P₀) = e^k

For eq 2.

2000 = P₀e^(k*10)

Rewrite it as;

(2000/P) = [e^k]^10.

Substituting ∛(400/P₀) for e^k, we obtain:

(2000/P₀) = (400/P₀ )^(10/3)

Solved for P.

Raise sides by the power of 3, we get:

(2000/P₀)^3 = (400/P₀)^10.

Therefore,

2000^3/ P₀^3 = 400^10/P₀^10

Solve,

2000^3/ 1 = 400^10/P₀^7

Taking reciprocal.

Solving

P₀^7 = 400^10/2000^3

P₀^7 = 1.31 x 10¹⁶

Take the** 7th root** of both sides;

P₀ = 200.67

Thus, the initial number of bacteria in a** culture **is found as 200.

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A family arrives at the Walt Disney world parking lot to get from their car in the parking lot to the gate at the magic kingdom they walk 1/4 mile take a train for 1/3 of their total distance and take a monorail for 1/2 of their total distance how far is it from their car to the gate of magic kingdom

This is equivalent to 3/2 as an improper fraction and 1 & 1/2 as a mixed number.

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

Explanation:

x = total distance in miles

The train and monorail take 1/3 and 1/2 of the total distance respectively

Add up those fractions to get

1/3 + 1/2 = 2/6 + 3/6 = 5/6

Remember that you can only add fractions when the denominators are the same.

5/6 of the total distance consists of the train and monorail.

That means the walking portion must be 1 - 5/6 = 6/6 - 5/6 = 1/6 of the total distance.

----------------------------

In short, we found that 1/6 of the total distance consists of walking.

(1/6)x = 1/4 mile

x/6 = 1/4

4x = 6*1

4x = 6

x = 6/4

x = 3/2

x = 1.5 miles is the total distance

---------------------------

Check:

1/6 of x = 1/6 of 3/2 = (1/6)*(3/2) = 3/12 = 1/4 mile walking

1/3 of x = (1/3)*(3/2) = 3/6 = 1/2 mile on the train

1/2 of x = (1/2)*(3/2) = 3/4 of a mile on the monorail

1/4 + 1/2 + 3/4 = 1/4 + 2/4 + 3/4 = 6/4 = 3/2 = 1.5 miles total

This confirms our answer.

You have three $1 bills, four $5 bills, and two $10 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill at random. Find P($5 then $10)

1- 1/9

2- 1/12

3- 1/72

4- 2/27

**Answer:**

1- 1/9

**Step-by-step explanation:**

[tex]p(5 then 10) = \frac{4}{9} \times \frac{2}{8} [/tex]

[tex]p(5 then 10) = \frac{1}{9} [/tex]

Assuming without replacement

Please help i havent been turning in my math work for days and im so close to getting detention

**Answer: 1.one cup **

2. 2 cups of each

**Step-by-step explanation:**

At a dinner party, each guest is to receive a bag of small gifts. How many gifts should be placed in each bag if there are 8 guests and 32 gifts altogether?

**Answer:**

**Step-by-step explanation:**

Total number of gifts = Sum of all gifts given to each guest

= (Number of guests) * (Number of gifts per guest)

By making the number of gifts per guest the subject of the formula:

**Number of gifts per guest = Total number of gifts/Number of guest**

But:

Total number of gifts = 32

Number of guests = 8

**Number of gifts per guest = Total number of gifts/Number of guest**

** =32/8**

the chefs at a local pizza chain in cambria, california, strive to maintain the suggested size of their 16-inch pizzas. despite their best efforts, they are unable to make every pizza exactly 16 inches in diameter. the manager has determined that the size of the pizzas is normally distributed with a mean of 16 inches and a standard deviation of 0.8 inch. what are the expected value and the standard error of the sample mean derived from a random sample of 2 pizzas?

The expected value and the **standard error** of the **sample mean derived **from a **random sample of 2 pizzas is 0.57**

The **statistic **known as the **sample mean** is created by arithmetically averaging the** values of a variable in a sample**.

The **sample mean** is an estimator of the expected value if the sample is taken from **probability distributions** with a **common expected value**.

given

Size of the pizzas 16- inch

normal distribution mean is 16 inch

standard deviation= 0.8

μ=16

σ=0.8

n=2

The standard error of the sample mean derived from a random sample of 2 pizzas is:

σₓ= σ / [tex]\sqrt{n}[/tex]

σₓ = 0.8 /[tex]\sqrt{2}[/tex]

σₓ=0.57

The standard error of **the sample mean derived** from a random sample of 2 pizzas is **0.57**

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Solve three fifths times v plus 3 equals two fifths times v minus 4. v = −35 v = 35 v equals negative seven fifths v equals seven fifths

The **solution **of the **expression **(3/5)v + 3 = (2/5)v - 4 would be v = - 35 which is the correct **answer **would be **option **(**A)**.

Algebraic **expressions **are mathematical statements with a minimum of two terms containing **variables **or numbers.

We have to determine the **solution **of three-fifths times v **plus **3 equals two-fifths times v **minus **4.

Translate the phrase into an **algebraic expression**:

⇒ (3/5)v + 3 = (2/5)v - 4

Rearrange the **likewise **terms and apply **arithmetic **operations,

⇒ (3/5)v - (2/5)v = - 3 - 4

⇒ (1/5)v = - 7

⇒ v = - 7 × 5

⇒ v = - 35

Therefore, the **solution **of the **expression **(3/5)v + 3 = (2/5)v - 4 would be v = - 35.

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If the breadth of a rectangle is reduced by 4cm it's are would be reduced by 240 cm². How long is the rectangle?

Answer:

Let the length be x. The breadth be y Area=xy. On reducing breadth by 4 new breadth will be (y-4). X(y-4)=xy-240. Xy-4x=xy-240. -4x=-240. X=60. Hence rectangle is 60cm long

Step-by-step explanation:

hope it will help

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

im lazzy thanks

**Answer:**

The answer is 18^4

**Step-by-step explanation:**

Its the answer

Solve for x and graph the solution on the number line below.

The **solution** is **x ≤ -2 or x ≥ 10. **

The **inequalities** are given in two parts which can be combined to form a single** inequality **as follows,

13 ≤ -5x + 3 or -47 ≥ -5x + 3

⇒ 13 ≤ -5x + 3 ≤ -47

Let's **solve** this.

First subtract 3 from all terms,

⇒ 10 ≤ -5x ≤ -50

Divide by 5 on all terms,

⇒ 2 ≤ -x ≤ -10

Multiply with (-1) on all terms, but then the **inequality** gets reversed as,

⇒ -2 ≥ x ≥ 10

We can now split the** inequalities** into two to make sense,

⇒ **x ≤ -2 or x ≥ 10.**

This **solution** can be graphed on a** number line** by darkening a line on the number line from 10, extended to the right of it. Then darken the line from -2, extend it to the left side.

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Bette used 3 jumbo cans of frosting to frost 105

cupcakes for the cupcake challenge at her school

and 5 jumbo cans of frosting to frost an

additional 175 cupcakes. How many jumbo cans

of frosting would she need to frost 280

cupcakes?

Bette needs 8 **jumbo **cans of **frosting **to frost 280 **cupcakes**.

The **ratio **is defined as a relationship between two quantities, it is expressed as one **divided **by the other.

Bette used 3 **jumbo **cans of frosting to frost 105 **cupcakes **for the cupcake challenge at her school and 5 jumbo cans of frosting to frost an **additional **175 cupcakes which are given in the question.

Let x jumbo **cans **of **frosting **would she need to frost 280 **cupcakes**

As per the given question, we can write the **ratio **as

3 jumbo cans of frosting : 105 cupcakes = x jumbo cans of frosting : 280 cupcakes

⇒ 3/105 = x/280

⇒ x = ( 280 × 3 )/ 105

⇒ x = 8

Therefore, she needs 8 **jumbo **cans of **frosting **to frost 280 **cupcakes**.

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The stopwatch shows the time Mike took to complete a puzzle.

Round this time to 1 d.p.

36.98sec

**Answer:**

37.0seconds

**Step-by-step explanation:**

**when you round you take the second number (8) and find out if it is higher or lower than 5. When it is higher you round up. **

**But, since the next number is 9 you have to continue to round up the next number which is 6.**

**Hope this is helpful!**

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