A set of weights includes an 8 lb. barbell and 6 pairs of weight plates. Each pair of plates weighs 15 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 15x + 8. What is the range of the function for this situation?

Answers

Answer 1

Answer

8,98

Step-by-step explanation:

the minimum amount of weight you can use is the barbell alone which is 8lbs by itself and the maximum is 98 because there are 6 15lb plates which equal to 90lb total and when you add the 6 plates to the barbell you get 98lbs


Related Questions

solve for x round to the nearest tenth if necessary

Answers

Answer:

22.68

Step-by-step explanation:

SOH (opp/hyp)

sin34 = 12/x

(x)sin34 = 12 - divide sin34 on both sides

x = 12/sin34

x = 22.68

Grant is working at a veterinarian's office, and he needs to give a dose of medicine to a
25 kg dog. If a 10 kg dog needs 18 mL of the same medicine, how many milliliters of
medicine does the 25 kg dog need?

Answers

Answer:

45ml

Step-by-step explanation:

10 kg needs 18mL

So, 1kg = 1.8ml

25kg needs = 1.8kg/ml x 25 kg

25 kg dog would need 45ml.

Answer:

45 ml

Step-by-step explanation:

Weight of the dog and quantity of medicine is in Direct proportion.

Let the quantity required for 25 Kg dog =x

10 : 18 :: 25 : x

Product of extremes = product of means

10 * x = 18 * 25

[tex]x = \frac{18 * 25}{10}\\\\x = 9 * 5 \\\\x = 45[/tex]

Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

a. £25142.86

b. £16833.33

Step-by-step explanation:

According to the Question,

Given, The Salary Of 7 People in An Office are,

Andy ⇒ £9500

Bevan ⇒ £25000

Cheryl ⇒ £13250

Deva ⇒ £75000

Elliott ⇒ £12750  

Frankie ⇒ £29500

Grace ⇒ £11000

a. The mean income = Total Sum of Salaries ÷ Number of Workers

Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7

Mean = 176000 / 7 ⇒ £25142.86

b. Now, The Mean income After Excluding Deva's Salary is,

Mean = (9500+25000+13250+12750+29500+11000) ÷ 6

Mean = 101000 / 6 ⇒ £16833.33

Please help asap thanks

Answers

Shahs. Dickens icjcns a icjcns icjcns. Did d

Interior and exterior triangle angles

Answers

Answer:

m<S = 38°

Step-by-step explanation:

Given:

m<R = (x + 17)°

m<S = (2x - 2)°

m<T = (5x + 5)°

Required:

m<S

Solution:

First, we will need to determine the value of x by creating an equation. Thus:

m<R + m<S + m<T = 180° (sum of triangle)

Plug in the values

(x + 17)° + (2x - 2)° + (5x + 5)° = 180°

x + 17 + 2x - 2 + 5x + 5 = 180

Add like terms

8x + 20 = 180

8x + 20 - 20 = 180 - 20

8x = 160

8x/8 = 160/8

x = 20

Find m<S:

m<S = 2x - 2

Plug in the value of x

m<S = 2(20) - 2 = 40 - 2

m<S = 38°

ABC is a triangle right angled at A and D is a point on BC such that AD Ʇ BC. Show that AD2 = BD x DC. please answer fast URGENT

Answers

Answer:

The answer is below

Step-by-step explanation:

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse side is equal to the sum of the square of the remaining sides. The hypotenuse is the longest side (that is side opposite to the 90° angle).

In right angle triangle ABD:

AB² = AD² + BD²     (1)

In right angle triangle ACD:

AC² = AD² + CD²      (2)

Also:

AC² + AB² = BC²       (3)

But BC = BD + CD

AC² + AB² = (BD + CD)²     (4)

Adding equation 1 and 2 gives:

AB² + AC² = (AD² + BD²) + (AD² + CD²)  

AB² + AC² = 2AD² + BD² + CD²

substituting AC² + AB² = (BD + CD)²:

(BD + CD)² = 2AD² + BD² + CD²

BD² + 2(BD)(CD)+ CD² = 2AD² + BD² + CD²

2AD² = 2(BD)(CD)

AD² = BD * CD

BRAINLIEST IF CORRECT You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?

Select all that apply.

0.60

50%

252 fifths

353 fifths

60%

Answers

Answer:

0.60 & 60%

Step-by-step explanation:

Anthony bought a new rectangular table for his living room the length of the table is 4 feet and the perimeter of the table is 14 feet what is the width of the table ?

A. 4 feet

B.5 feet

C. 2 feet

D.3 feet

Answers

Answer:

Option d

Step-by-step explanation:

Length = 4 ftPerimeter = 14 ftWidth = ?

→ Perimeter of rectangle = 2(l + w)

→ 14 = 2(4 + w)

→ 14 ÷ 2 = 4 + w

→ 7 = 4 + w

→ 7 - 4 = w

3 ft = w

Therefore, width is 3 ft. (Option D)

3 feet so it’s ddddddd

Someone please help hurry I need to turn this in

Answers

Answer:

option a is right cz both have same value itz 1/root 2 hope it may help u

Really stuck, please help

Answers

Answer:

Step-by-step explanation:

what do you know about the angles of a triangle? They make 180° right?

since you know that, now you can find  angle  Y  , by using the triangle on the left,   and you can find X by using the triangle on the right,  then,  when you know  X & Y , use both of those to find  Z  :)   got it?

Answer:

we know that a triangle's angles MUST add up to 180 degrees.

We can look at the triangle with the angles of 55, 80, and y. As the angles must add to 180, 55+80+y must be 180. Therefore, we find that y is equal to 45.

We can look at the triangle with the angles of 100, 60, and x. As the angles must add to 180, 100+60+x must be 180. Therefore, we find that x is equal to 20.

We then look at the triangle formed from x, y, and z. As the angles must add to 180, x+y+z must be 180. x is 20, y is 45, so 20+45+z = 180. Thus, z is 115.

So:

y = 45

x = 20

z = 115.

Please help if you can!!!!

Answers

Answer:

about 22 square units

Step-by-step explanation:

sana makatulong

Answer:

C: About 22 square units

Step-by-step explanation:

YW

Math help please urgent please help

Answers

Answer:

Will cost 123 dollars.

Step-by-step explanation:

Find perimeter (50 m)

50 meters = 164 ft

164/10 ft = 16.4 ft

16.4 ft x 7.50 = 123 Dollars

Hope this helps. Consider giving brainliest :)

What percent of Rs.400 is Rs. 20000?

Answers

Answer:

2%

Step-by-step explanation:

A circular track has a radius of 70cm. If an athlete runs around it twice, how far has he run?​

Answers

Answer:140 cm

Step-by-step explanation: If they ran twice: 70*2=140cm

The runner has ran 280m because we need to know the whole length and the radius is 70 so the diameter is 140 times 2 is 280

Please help me with this!!!!! I don't get it ​

Answers

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7

There are 312 cards in 6 deck of playing cards write the ratio as a fraction them find the unit rate

Answers

Answer:

6x: 312

x: 52

Step-by-step explanation:

Let the deck be denoted by x then

6x:  312

There are 312 cards in 6x decks

In 1 deck x there are 312/6= 52 cards

6x: 312

6x/6: 312/6        Cancelling both sides by 6

x: 52

In ratio both the sides are divided by the same number to get equivalent fractions.

In 1 deck there are 52 cards

Find the value of x.

Answers

Answer:

cos 62=adjacent/hypotenuse

cos62=x/6

x=cos 62*6

x=2.8units

Answer:

x ≈ 2.8 units

Step-by-step explanation:

find measure of ∠B:  180-(90+62) = 28°

law of sines:

sin90°/6 = sin28°/x

1/6 = sin28°/ x

cross-multiply to get:

x = 6·sin28°

x ≈ 2.8 units

divide (6x³+5x²-4x+3) by (2x+3)​

Answers

Answer: 3x^2-2x+1

Step-by-step explanation:

Answer:

3x² - 2x + 1

Step-by-step explanation:

To get 3x²

6x³ ÷ 2x

To get -2x

-4x² ÷ 2x

To get +1

2x ÷ 2x

43. If L is the midpoint of KN an MP, which methods can be used to prove the triangles are congruent

Answers

Answer:

Step-by-step explanation:

Two triangles are said to be congruent if all their corresponding sides and corresponding angles are equal to each other.

Given that L is the midpoint of KN an MP, hence:

KL = LN; and ML = LN

Also, ∠KLM = ∠PLN (vertical opposite angles are congruent to each other)

Since ∠KLM = ∠PLN, KL = LN; and ML = LN, we can hence say that triangle KLM and triangle LNP are congruent triangles using Side-angle-side (SAS) triangle congruency theorem.

The SAS theorem states that if two sides and one included angle of one triangle is equal to two sides and an included angle of another triangle, then both triangle are congruent

2. Alin ang mas mabigat, isang kilong pako o isang libong
gramo ng bigas?

Answers

Answer:

Isang Kilong Pako

Step-by-step explanation:

Ang pako po ay metal at ang bigas po ay grain lang kung ikukumpara mo sa isang butil ng bigas at pako, diba pako po ang mas mabigat, kung isang kilo pa po ehh mas mabigat na po iyon kaysa sa bigas.

Thank you Please mark as Brainliest :>

What is the area of the shaded region? 2 cm 2cm
4cm 4cm

Answers

Answer:

12?

Step-by-step explanation:

4x4= 16(area)

2x2=4(area menor)

16-4= 12

HELPPP ME PLEASE WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER

Answers

Answer:

Option (3)

Step-by-step explanation:

Properties for the vertical stretch or shrink of a function,

If a function is f(x) = k|x|

1). Function will be vertically stretched if k > 1

2). Function will have a vertical shrink if 0 < k < 1

To fit the given data graph of f(x) = |x| will vertically shrink without any translation along x or y-axis.

And the value of k will be, 0 < k < 1.

Therefore, g(x) = [tex]\frac{1}{3}f(x)[/tex] will be the transformed graph.

Therefore, Option (3) will be the correct option.

Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.


Expression: Negative (4 x minus 5) + 2 (x minus 3)
Expression: –2x – 5
Step 1:
Choose a value of x
Choose x = 1.
Choose x = negative 1.
Step 2: Substitute
Negative (4 (1) minus 5) + 2 (1 minus 3)
Negative 2 (negative 1) minus 5
Step 3: Evaluate
Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3
Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3
Step 4:
Compare
Since –3 = –3, the two expressions are equivalent.

Which explains whether Sophia is correct?

Answers

Answer:Hope This Helps ☺️

Step-by-step explanation:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

R.H.S

-2x - 5

-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

CASE 2: substitute -1 for x to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1

R.H.S

-2x - 5

-2(-1) - 5 = 2-5 = -3

Hence for x= -1

-(4x-5)+2(x-3) ≠ -2x -5

Because 1 ≠ -3

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

angle H and angle D are supplementary. If angle H has a measure of 128 degrees, find the measure of angle D

Answers

m<H + m< D = 180°

Since m<H and m<D are supplementary angles.

128°+m<D =180°

m<D = 180-128

m<D = 52°

Answer: m<D = 52°

Answer:

angle D=52 degree

Step-by-step explanation:

In supplementrary angles sum of two angles is always 180 degree

angle H +angle D=180 degree (since they are supplementary angles)

sbstitute the value of H

128 + angle D=180

angle D=180-128

angle D=52 degree

therefore angle D is 52 degree.

What is the measure of ADB?

Answers

The answer is A 109

Explanation:
Solve for x when doing 6x+19=7x+4
Then plug in the value of x into 6x+19
6x+19=7x+4
-4 each side
6x+15=7x
-6x from each side
15=1x
15=x
Then plug it back in:
(6 [15] +19)
(90+19)
109

The answer is A: 109

Lee will buy 3 notebooks for $1.29 each, 2 dozen pencils at $3.45 a dozen, and a box of pens for $14.85 a box. How much will Lee spend on his school supplies?

Answers

Answer:

Used another answer on Brainly

Step-by-step explanation:

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

If 3 notebooks are 1.29 each, that’s 3.87 on notebooks. two dozen pencils at 3.45 a dozen is 6.90. add 3.87, 6.90, and 14.85 for a total of $25.62.

Find the average rate of change of f ( x ) = 3 x 2 − 9 on the interval [ 2 , b ] . Your answer will be an expression involving b

Answers

Answer:

[tex]m = 3b+6[/tex]

Step-by-step explanation:

Given

[tex]f(x)=3x^2 - 9[/tex]

Required

The average rate over [tex][2,b][/tex]

Average rate (m) is calculated using:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [2,b][/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

Calculate f(b) and f(2)

[tex]f(x)=3x^2 - 9[/tex]

[tex]f(b)=3b^2 - 9[/tex]

[tex]f(2)=3*2^2 - 9 = 12 - 9 = 3[/tex]

So, we have:

[tex]m = \frac{f(b) - f(2)}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 9 - 3}{b - 2}[/tex]

[tex]m = \frac{3b^2 - 12}{b - 2}[/tex]

Expand the numerator

[tex]m = \frac{3b^2 + 6b-6b-12}{b - 2}[/tex]

Factorize

[tex]m = \frac{b(3b + 6)-2(3b+6)}{b - 2}[/tex]

Factor out 3b + 6

[tex]m = \frac{(b -2)(3b+6)}{b - 2}[/tex]

Cancel out b - 2

[tex]m = 3b+6[/tex]

HELP PLS i don’t understand it so can someone please help me

Answers

Step-by-step explanation:

hey :) I can't help you BUT there is a very good app I recommend it's called "algebrator". I really hope it helps you :)

Help with this question, not sure what the answer is

Answers

The answer is B, you know the zeros or solutions are positive 3 and 7 means no that they will be negative in the equation. And the parabola isn’t stretched or compressed so it doesn’t have a leading coefficient. Hope that helps!

Answer:

3rd option

Step-by-step explanation:

The zeros ( where the graph crosses the x- axis ) are x = 3 and x = 7

The corresponding factors are then (x - 3) and (x - 7)

The equation is then

f(x) = a(x - 3)(x - 7) ← a is a multiplier

To find a substitute any point on the graph into the equation.

Using (8, 15 ) , then

15 = a(8 - 3)(8 - 7) = a(5)(1) = 5a ( divide both sides by 5 )

3 = a

Thus

f(x) = 3(x - 3)(x - 7)

Classify the polynomial 8x^3 +6x^2 -3x +1 according to its degree and number of terms.?

Plz fast

Answers

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree:  

3

Leading Term:  

8x^3

Leading Coefficient:  

8

Step-by-step explanation:

8 is the correct ans
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