Graph ​ f(x)=3sin(12x)−5 ​. Use 3.14 for π .

Equation shows the relationship between  distance traveled (d), speed (s), and time taken (t) is:

[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]

Solution:

Given that,

Alice traveled 30 miles in 3 hours

To find: Equation shows the relationship between  distance traveled (d), speed (s), and time taken (t)

The speed is given by:

[tex]Speed = \frac{distance}{time}[/tex]

From given,

Distance = d = 30 miles

Time = t = 3 hours

Therefore,

[tex]s = \frac{d}{t}[/tex]

[tex]s = \frac{30}{3}\\\\s = 10\ miles\ per\ hour[/tex]

Thus the equation is found and speed is calculated

Answer:

Step-by-step explanation:

$3,400*2.5%*3=$255

To calculate the simple interest on $3,400 at a 2.5% interest rate over 3 years, the formula I = P  imes r  imes t is used, which results in $255 of interest earned in that period.

To calculate the simple interest earned by a checking account with $3,400 at a 2.5% annual interest rate over 3 years, we use the formula for simple interest:

I = P times r times t

where:

Let's plug in the values:

I = $3,400 times 0.025 times 3

I = $85 times 3

I = $255

So, the account will earn $255 in simple interest over 3 years.

Answer:

29 dollars each

Answer:

$7 more

Step-by-step explanation:

According to the question, Xavier sells homemade necklaces for a profit of $22 per necklace .

Now, he’s considering switching to a new type of pendant that will increase his profit as expressed by

y = 29x

Where x = number sold and

y = amount of profit

From the expression, if he sells one necklace made with the new type of pendant ,

y = 29 x 1

= $29

Remember he makes $22 per necklace already .

$ earns if he switches to the new pendant = $29 - $22

= $7

He’ll earn $7 more if he switches to the new material

Answer:

98up-'[y;adsdsfsafafdespenol es mi amigos si

Step-by-step explanation:

Answer:

Step-by-step explanation:

The simple answer is "yes".

The reason is that Distance = Speed (Velocity) * time taken.

d = v*t

Given that the distance is fixed, the velocity and time become inversely related such that an increase in velocity will mean that the distance is covered in a shorter time while an increase in time will mean that the distance is covered at a slower velocity.

30 m

Step-by-step explanation:

Step 1 :

Let x be the distance traveled.

Speed taken while going is given as 60mph.

Hence time taken for the onward journey =x/60

Speed for the return journey is 20mph

Hence time for the return journey is x/20

Step 2:

Total time is from 10 m to 2 pm. Deducting the 2 hours taken for lunch, time spent for the onward and return journey is 2 hrs

=> X/60 + x/20 = 2.

Solving for x we get x = 30

Hence the distance between the office and Valerie's is 30 m

Answer:

Andre scored 14 points in the game.

Step-by-step explanation:

Question :

Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If

Noah scored 10 points, how many points did Andre score?

Given:

Diego scored 9 points less than Andre in the basketball game.

Noah scored twice as many points as Diego.

Noah scored 10 points

To find Andre's points.

Solution:

Let Andre's score be = [tex]x[/tex] points

Then, Diego's points will be = [tex](x-9)[/tex] points

Noah's points will be = [tex]2(x-9)[/tex] points

Noah's points given = 10 points.

Thus, the equation can be given as:

[tex]2(x-9)=10[/tex]

Solving for [tex]x[/tex].

Dividing both sides by 2.

[tex]\frac{2(x-9)}{2}=\frac{10}{2}[/tex]

[tex]x-9=5[/tex]

Adding 9 both sides.

[tex]x-9+9=5+9[/tex]

∴ [tex]x=14[/tex]

Thus, Andre scored 14 points in the game.

The score of Andre and Diego is 14 and 9 points, respectively.

Given information:

Diego scores 9 points less than Andre in the basketball game.

Noah scores twice as many points as Diego.

Noah's score is 10 points.

Let x be the score of Diego.

So, the score of Andre will be x+9 and that of Noah will be [tex]2x[/tex].

Compare Noah's score to get the value of x as,

[tex]2x=10\\x=5[/tex]

So, Diego's score is 5 points.

Now, the score of Andre will be calculated as,

[tex]x+9=5+9\\=14[/tex]

Therefore, the score of Andre and Diego is 14 and 9 points, respectively.

For more details, refer to the link:

https://brainly.com/question/9132346

A = number of flavors = 3

B = number of toppings = 4

C = number of syrups = 2

D = number of different sundaes (picking one flavor, topping and syrup)

D = A*B*C

D = 3*4*2

D = 24

There are 24 different sundaes possible.

Answer:

12.5% ≈ 13%

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

[(number of pills in the batch)/(Total pills)] * 100

[tex]\frac{75}{600}*100 = 12.5 \%[/tex]

≈ 13% to the nearest whole number

The percentage of the goal met after the batch is finished is 100%.

To find the percentage of the goal met after the batch is finished, we need to divide the number of pills produced by the goal and then multiply by 100. In this case, since the goal is 600 and the batch produced 600 pills, the percentage of the goal met would be:

Percentage of goal met = (600/600) * 100 = 100%

Therefore, after the batch is finished, 100% of the goal will be met.

Answer:

[tex]a_1=7[/tex]

[tex]a_2=7\\a_3=10\\a_4=13\\a_5=16[/tex]

Step-by-step explanation:

The arithmetic series is [tex]S_{5}=\sum_{k=1}^5(1+3k)[/tex]

From the given series the general term of the series is [tex]a_k=1+3k[/tex]

When [tex]k=1[/tex], we substitute into the general formula to get:

[tex]a_1=1+3(1)=4[/tex]

When k=2, we get: [tex]a_2=1+3(2)=7[/tex]

When k=3, we substitute to get:

[tex]a_3=1+3(3)=10[/tex]

When k=4, we substitute to get:

[tex]a_4=1+3(4)=13[/tex]

When k=5, we get:

[tex]a_5=1+3(5)=16[/tex]

Answer:

a1= 4

a2=7

a3=10

a4=13

a5=16

s5=50

Step-by-step explanation

The item most likely to be bought with an installment loan is A. A couch, as installment loans are used for significant purchases paid over time. Groceries, calculators, and school books are generally less expensive and paid for upfront.

The question posed is, "Which of these items are you most likely to buy with an installment loan?" The correct answer is A. A couch. Installment loans are typically used for larger purchases that require payment over time. These include items such as furniture, cars, and appliances.

On the other hand, groceries (B), calculators (C), and school books (D) are generally more affordable and are usually paid for upfront rather than through installment loans. Installment loans often come with interest, making them more suitable for more expensive items that cannot be paid for in full immediately.

It is essential to carefully consider the necessity and the ability to repay before taking out any loan, especially for substantial purchases like a couch, to avoid financial strain.

Answer:

a+8 x 2

Step-by-step explanation:

Lucy= a

Jacob= 8 + a

½ Jayne= Jacob or Jayne= 2 Jacob

½ Jayne= 8 + a

Jayne= (8+a)2

= 16 + 2a

Answer:

6 sq root 5

Step-by-step explanation:

Answer:

6sqrt(5)

Step-by-step explanation:

Both of these expressions are a number times the square root of 5. By definition, we can simply add the coefficients as these are like terms.

Answer:

F, G, H

Step-by-step explanation:

$9/6 = $1.5

$6/4 = $1.5

The price is $1.50 per notebook.

Every point on the graph must have a y-coordinate that is 1.5 times the x-coordinate.

The function is y = 1.5x

F(3,4.50)     3 * 1.5 = 4.5    Yes

G(8,12)    8 * 1.5 = 12     Yes

H(7,10.50)    7 * 1.5 = 10.5    Yes

J(12,16)   12 * 1.5 = 18     No

The point to the system of solution is (3, 3, –2).

Solution:

Given equations are

x – y – 2z = 4  – – – – (1)

–x + 3y – z = 8 – – – – (2)

–2x – y – 4z = –1 – – – – (3)

Let us first eliminate x from 2 equations.

Add (1) and (2)

x – y – 2z – x + 3y – z = 4  + 8

⇒ 2y – 3z = 12 – – – – (4)

Multiply equation (1) by 2 and add with equation (3)

2x – 2y – 4z – 2x – y – 4z = 8  – 1

⇒ –3y – 8z = 7 – – – – (5)

Now, Multiply equation (4) by 3 and equation (5) by 2 and add them.

6y – 9z – 6y – 16z = 36 + 14

⇒ –25z = 50

⇒ z = –2

Substitue z = –2 in equation (4), we get

⇒ 2y – 3(–2) = 12

⇒ 2y  = 12 – 6

⇒ y = 3

Substitute, z = –2 and y = 3 in equation (1), we get

⇒ x – 3 – 2(–2) = 4  

⇒ x – 3 + 4 = 4  

⇒ x + 1 = 4  

⇒ x = 3

Hence the point to the system of solution is (3, 3, –2).

Answer:

(3, 3, –2).

Step-by-step explanation:

Answer:

The volume of the Prism=[tex]629.2cm^3[/tex]

Step-by-step explanation:

A right rectangle prism shape is that in which the faces of the prism are in the shape of a rectangle making it a cuboid.

Volume of a right rectangle prism= [tex]length*width*Height[/tex]

Given: length=12.1 cm

           width=8 cm

          Height= 6.5 cm

Putting the given values in the formula

   Volume of the right rectangular prism:

                                                                [tex]=12.1cm*8cm*6.5cm\\\\=629.2cm^3[/tex]

The volume of the Prism=[tex]629.2cm^3[/tex]

Answer:

Part 1) [tex]z=121^o[/tex]

Part 2) [tex]x=59^o[/tex]

Part 3) [tex]y=49^o[/tex]

Part 4) [tex]w=72^o[/tex]

Step-by-step explanation:

step 1

Find the measure of angle z

we know that

The sum of exterior angles in a polygon is always equal to 360 degrees

so

[tex]z^o+(z+10)^o+(z-13)^o=360^o[/tex]

solve for z

[tex](3z-3)^o=360^o[/tex]

[tex]3z=363\\z=121^o[/tex]

step 2

Find the measure of angle x

we know that

[tex]z^o+x^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]121^o+x^o=180^o[/tex]

[tex]x=180^o-121^o=59^o[/tex]

step 3

Find the measure of angle y

we know that

[tex]y^o+(z+10)^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]y^o+(121+10)^o=180^o[/tex]

[tex]y=180^o-131^o=49^o[/tex]

step 4

Find the measure of angle w

we know that

[tex]w^o+(z-13)^o=180^o[/tex] ---> by supplementary angles (form a linear pair)

we have

[tex]z=121^o[/tex]

substitute

[tex]w^o+(121-13)^o=180^o[/tex]

[tex]w=180^o-108^o=72^o[/tex]

Answer:

1) 36

b) 5

c) 3.0

Step-by-step explanation:

1) The recursive formula that defines the given sequence is

[tex]a_1=12 \\ a_n=a_{n-1}+4.[/tex]

That means we keep adding 4 to the subsequent terms:

The sequence will be:

12,16,20,24,28,32,36,...

Therefore the seventh term is 36.

2) The sequence is recursively defined by;

[tex]a_1=20\\ a_n=a_{n-1} - 5[/tex]

This means, we have to keep subtracting 5 from the subsequent terms.

The sequence will be;

20,15,10,5,...

Therefore the fourth term is 5

3) The sequence is recursively defined by:

f(n+1)=f(n)+0.5

where f(1)=-1.5

This means that, the subsequent terms can be found by adding 0.5 to the previous terms.

The sequence will be:

-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....

Therefore f(10)=3.0

Answer: answer is C

Step-by-step explanation:

Answer:

Sales Warehouse

Step-by-step explanation:

Answer:

x = -30*1/3

Step-by-step explanation:

(3x+10)+81=0

3x + 10 + 81 = 0

3x + 91 = 0

3x = -91

x = -91/3

x = -30*1/3

Answer:

4

Step-by-step explanation:

log_3 (81)

set equal to x

log_3 (81) = x

saying this out loud is "x equals 3 raised to what power is 81"

notice that it is the same as

3^x = 81

so x equals 4

Answer:

200

Step-by-step explanation:

50 or more round up

49 and down you round to the last whole hundred or number

hope this helped please mark brainliest and rate

Answer:

14

Step-by-step explanation:

3 1/2 ounces is equal to:

7/2 or 14/4

14/4 is 14 quarter ounce chunks

A total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.

Scale factor is defined as the rate at which one dependent quantity varies with an independent one. Mathematically : y = Kx  can be written as -

y is K times larger than x.

Given is a platinum nugget whose weight is 3 1/2 ounces.

Assume that 3 1/2 ounces is equivalent to K times of 1/4 ounces.

Now, we can write - 3 1/2 = 7/2

Therefore, we can write the relation as follows -

7/2 = K/4

K = 7/2 X 4

K = 14

Therefore, a total of 14 pieces each of weight 1/4 ounce can be cut from the platinum nugget.

To solve more questions on size scaling, visit the link below-

https://brainly.com/question/5722052

#SPJ2

Answer:

Your goal here is to get x by itself

-10x-1=11-9x Add 1 to each side

-10x-1+1=11+1-9x

-10x=12-9x Add 9x to each side

-10x+9x=12-9x+9x

-1x=12 Divide each side by -1

-1x/-1=12/-1

x=-12

Hope this helps ;)

Step-by-step explanation:

because 1 kg is worth 2 is 1/4 is worth .25

so multiply 2 by 3 and add 1/4

good luck hope this helps.

Answer:

cost of [tex]3\frac{1}{4}[/tex] kg sugar is  [tex]5.80[/tex]

Step-by-step explanation:

Converting the quantity of sugar from mixed fraction to proper fraction

[tex]1\frac{1}{4} =\frac{(1*4)+1}{4} =\frac{5}{4}[/tex]

Cost of [tex]\frac{5}{4}[/tex] kg of sugar= 2.25

Cost of 1 kg of sugar  [tex]2.25*\frac{4}{5} \\=0.45*4\\=1.80[/tex]

                        similarly, [tex]3\frac{1}{4} =\frac{(3*4)+1}{4}=\frac{13}{4}[/tex]

So, the cost of [tex]\frac{13}{4}[/tex] kg of sugar is  

                                           [tex]\frac{13}{4}*1.80 \\=5.80[/tex]

cost of [tex]3\frac{1}{4}[/tex] kg sugar is  [tex]5.80[/tex]

Answer:

No; 14.7777777 or 14.78

Step-by-step explanation:

133 divided by 9 = 14.7777777

this rounds to 14.78

Hope this helped! :)

Answer:

no it does not it is 14.777777778

[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.

Step-by-step explanation:

Given,

Quantity of cheese used in recipe = [tex]1\frac{3}{4}\ cups = \frac{7}{4}\ cups[/tex]

Recipe to made = [tex]\frac{2}{3}[/tex]

Quantity to use in [tex]\frac{2}{3}[/tex] of recipe = [tex]\frac{2}{3}\ of\ quantity\ required\ for\ full\ recipe[/tex]

Quantity to use = [tex]\frac{2}{3}*\frac{7}{4}[/tex]

Quantity to use = [tex]\frac{7}{6} = 1\frac{1}{6}\ cups[/tex]

[tex]1\frac{1}{6}[/tex] cups of cheese should be used for [tex]\frac{2}{3}[/tex] of the recipe.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly