For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/hour greater than his original speed. How much time did the bicyclist spend on the entire trip? Let t be the time (in hours), and find t if: v=18

Answer:i fffffffffffffffffffffoooooooooooooooooooooorrrrrrrrrrrrrrrrrrggggggggggggggggggggggooooooooooooooooooottttttttttttttttttttttttttt

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Let's find unit rate of each (number of miles traveled in 1 hour). For that we will divide the distance by time to get the unit rate.

Note: [tex]rate=\frac{Distance}{Time}[/tex]

(A)

rate = [tex]\frac{300}{4}=75[/tex] mph (miles per hour)

(B)

rate = [tex]\frac{450}{6}=75[/tex] mph

(C)

rate = [tex]\frac{750}{10}=75[/tex] mph

(D)

rate = [tex]\frac{800}{12}=66\frac{2}{3}[/tex] mph

As we can see, the first 3 rates are same, 75 mph, and the last one is [tex]66\frac{2}{3}[/tex] mph. So clearly, the last rate is the slowest.

D is the right answer.

Answer:

D) 800 miles in 12 hours

Step-by-step explanation:

300/4=75

450/6=75

750/10=75

800/12=66.6666667

Answer:

The play lasted 1 hour and 12 minutes.

Step-by-step explanation:

Start: 2:10 pm. End: 3:22 pm.

3 hours - 2 hours = 1 hour

Start: 2:10 pm. End: 3:22 pm.

22 minutes - 10 minutes = 12 minutes

The play lasted 1 hour and 12 minutes.

-72, I don't see any of that over there

Answer:

dive below = 5 1/4 ft

Step-by-step explanation:

Dive above water + dive below water = total dive

We know the dive above water is 3 1/2 ft

The total length of the dive is  8 3/4 ft

Substitute in what we know

3 1/2 + dive below = 8 3/4

get a common denominator of 4

3 1/2*2/2 +dive below = 8 3/4

3 2/4 +dive below = 8 3/4

Subtract 3 2/4 from each side

3 2/4 - 3 2/4 +dive below = 8 3/4 - 3 2/4

dive below = 5 1/4 ft

Final answer:

To find out how far below the surface of the water Mya is at the end of her dive, subtract the diving board's height from the total dive length. Convert mixed numbers to improper fractions for easy subtraction, and after calculation, you find that Mya is 5 1/4 feet below the water's surface.

Explanation:

To determine how far below the surface of the water Mya is at the end of the dive, we need to subtract the height of the diving board from the total length of the dive. Mya's dive board is 3 1/2 feet above the water, and the total length of her dive is 8 3/4 feet.

First, convert the mixed numbers to improper fractions to make the subtraction easier. For 3 1/2, multiply 3 (the whole number) by 2 (the denominator) and add 1 (the numerator) to get 7/2. For 8 3/4, multiply 8 by 4 and add 3 to get 35/4.

The fractions are now 7/2 and 35/4. Before subtracting, find a common denominator, which is 4 in this case.

Convert 7/2 to 14/4, so we can subtract it from 35/4.

Subtract 14/4 from 35/4 to find the distance below the water's surface: 35/4 - 14/4 = 21/4.

Finally, convert the improper fraction back to a mixed number. The mixed number for 21/4 is 5 1/4, which means Mya is 5 1/4 feet below the surface of the water at the end of her dive.

Answer:

750 liters are lost.

Step-by-step explanation:

This question can be solved with multiplication.

Its important that when multiplying scientific forms of number together, always remember to add the exponents. -5+4=-1

-25 x -30= 750

750 liters are lost in a month.

Hope this helps!

Answer:

The answer should be 7.5*10 ^1 and that equalls 75

Step-by-step explanation:

Answer:

(-1, -1)

Step-by-step explanation:

Rotating the point (-1, -1) about the origin at -90° will be a 90 degree clockwise rotation.  This will map switch the x- and y-coordinates and negate the x-coordinate:

(x, y)→(y, -x)

(-1, -1) → (-1, 1)

Following this with a 90 degree counter-clockwise rotation will map

(x, y)→(-y, x)

(-1, 1)→(-1, -1)

This is the same point we started with.  Thinking about this logically, if we rotate something 90 degrees clockwise and then follow that with a 90 degree counter-clockwise rotation will put the object back in its original position.

Answer:

The correct option is 3.

Step-by-step explanation:

The coordinates of point P are (4,3).

We have to find the value of

[tex]R_{p,90}\circ R_{o,-90}:(-1,-1)[/tex]

The operations area operated from right to left it means first we have to apply

[tex]R_{o,-90}[/tex], then [tex]R_{p,90}[/tex].

[tex]R_{o,-90}[/tex] means rotation 90 degree clockwise about the origin, it is defined as

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

[tex](-1,-1)=(-1,1)[/tex]

[tex]R_{p,90}[/tex] means rotation 90 degree counter clockwise about the the point P, it is defined as

[tex](x,y)\rightarrrow (-(y-3)+4,(x-4)+3)[/tex]

[tex](x,y)\rightarrrow (-y+7,x-1)[/tex]

[tex](-1,1)\rightarrrow (-1+7,-1-1)[/tex]

[tex](-1,1)\rightarrrow (6,-2)[/tex]

Therefore the coordinates of image are (6,-2). Option 3 is correct.

Answer$15.60

Step-by-step explanation:

First you would go 32,448 divided by 52. That would give you how much you make in one week. Then you do 624 divided by 40. This would give you Job A's hourly wage ($15.60). I hope this helps.

Answer:

She can use rotation and overlap the two triangles, and if they overlap perfectly/identically, that means they are surely congruent.

Rebecca can prove triangle congruence by applying the rotation property. If she can rotate one triangle to align with the other, maintaining the same shape and size, then the triangles are congruent. Additionally, she can compare corresponding angles and sides to confirm congruence.

Rebecca can use rotations to prove triangle congruence by performing a sequence of rotations, translations, and reflections on one triangle to align it with the other. If she can manipulate one triangle to superimpose it exactly onto the other triangle without changing its shape or size, then they are congruent. She can also use the properties of triangle congruence, such as side-angle-side (SAS), angle-side-angle (ASA), side-side-side (SSS), or angle-angle-side (AAS), to verify their congruence. By demonstrating that the corresponding sides and angles of the two triangles are congruent based on these properties, she can conclusively prove their congruence. This approach ensures that both triangles share identical measurements and configurations, providing geometric evidence for their congruence.

Answer: There are 12 pink roses and 7 yellow roses.

Step-by-step explanation:

Since we have given that

Total number of members = 19

Let the number of pink roses be x

Let the number of yellow roses be 19-x

Cost of pink roses be $3

Cost of yellow roses be $2

Total amount spend to buy = $50

According to question,

[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]

Hence, Number of pink roses be 12

and number of yellow roses be

[tex]19-12=7[/tex]

Hence, there are 12 pink roses and 7 yellow roses.

To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.

This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:

By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.

Answer:

- 1 and 1

Step-by-step explanation:

using the rule of exponents

• [tex]a^{0}[/tex] = 1

- ([tex]2^{0}[/tex]) = - 1

( - [tex]\frac{4}{9}[/tex])^0 = 1

For this case we have that by definition, any number raised to zero gives 1.

Knowing that:

[tex]\frac {a ^ 2} {a ^ 2} = 1[/tex] and by power properties of the same base we have that: [tex]\frac {a ^ 2} {a ^ 2} = a ^ {2-2} = a ^ 0[/tex]

So:

[tex]a ^ 0 = 1[/tex]

So, if we have:

[tex]- (2) ^ 0 = - (1) = - 1\\(- \frac {4} {9}) ^ 0 = 1[/tex]

Answer:

[tex]- (2) ^ 0 = - (1) = - 1\\(- \frac {4} {9}) ^ 0 = 1[/tex]

Answer:

The ball will roll upto 1 m.

Step-by-step explanation:

A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.

As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.

According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.

Here given kinetic energy as 10 J, so this energy will get converted to potential energy.

We know that, potential energy is

[tex]P.E=m\cdot g\cdot h[/tex]

where,

m is the mass, g is the acceleration due to gravity and h is the height.

Putting the values,

[tex]\Rightarrow 10=1\times 10\times h[/tex]

[tex]\Rightarrow 10=10 h[/tex]

[tex]\Rightarrow h=1\ m[/tex]

Final answer:

Brenda will earn $18.75 in simple interest after 18 months on her $500 deposit at a 2.5% annual simple interest rate.

Explanation:

To calculate the simple interest Brenda will earn after 18 months on a $500 deposit at a simple interest rate of 2.5% per year, we can use the simple interest formula:
I = P * r * t, where:

I represents the interest earned,

P is the principal amount (the initial amount of money),

r is the annual interest rate (in decimal form), and

t is the time in years.

First, convert the interest rate from a percentage to a decimal by dividing by 100:

2.5% = 2.5 / 100 = 0.025

Next, since the time is given in months, convert it to years:

18 months = 18 / 12 = 1.5 years

Now, plug the values into the formula:

I = $500 * 0.025 * 1.5

I = $18.75

Therefore, Brenda will earn $18.75 in simple interest after 18 months.

Answer it's more singler to the right angle then the left angle ×{3*25+16=}

Step-by-step explanation:

The height of the cylinder is 20 meters.

Given,

The formula for the volume of a cylinder is V=πr²h.

The cylinder to the right has an exact value of 180π cubic meters.

Its radius is given as 3 meters in the figure.

We need to find its height.

It is given by:

V = π r² h

Find the volume of the cylinder.

V = π r² h

We have,

V = 180π cubic meters

180π cubic meters = πr²h

Find the height of the cylinder.

We have,

180π cubic meters = πr²h

Divide both sides by π

180 cubic meters = r²h

We have,

r = 3 m

180 cubic meters = 3² square meters x h

180 cubic meters =  9 square meters x h

Divide both sides by 9.

20 meter = h

h = 20 meters

Thus the height of the cylinder is 20 meters.

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To demonstrate that the measure of angle KNQ is equal to the measure of angle MNS, one should use geometric principles to show congruency or similarity between the angles, which could involve establishing congruent triangles or proportional relationships.

To prove that the measure of angle KNQ is equal to the measure of angle MNS, one would need to establish a relationship between the two angles based on geometric principles or congruent triangles. This could involve demonstrating that the angles are corresponding angles of similar triangles, alternate interior angles of a transversal crossing parallel lines, or possibly vertical angles resulting from intersecting lines. Given the information provided, it seems that if one could show that triangles KNQ and MNS are congruent, then by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem, it would follow that the angles in question are equal.

Applying trigonometry in proving congruency or similarity might be necessary, especially if an equivalence can be drawn from given proportional relationships or if one can establish that angles are congruent through right triangles and the definition of trigonometric ratios.

Answer:

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1)/(x2-x1)

      = (576-64)/(6-2)

      = (512/4)

     =128 ft/s

This represents the change in ft per second, or the  average speed the object is going during the time period.

Answer:

it's A

Step-by-step explanation:

Answer:

degree 5

Step-by-step explanation:

the degree of a polynomial is determined by the term with the largest exponent and is the value of the exponent.

[tex]x^{5}[/tex] is the term with the largest exponent of 5

degree of polynomial is 5

Answer:

Option  B is correct.

[tex]\frac{81m^2n^5}{8}[/tex] is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Step-by-step explanation:

Given expression: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Using exponents power:

Given: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]

Apply exponent power :

⇒ [tex]\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}[/tex]

⇒ [tex]\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}[/tex]

⇒[tex]\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}[/tex]

Therefore, the expression which is equivalent to  [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is,  [tex]\frac{81m^2 n^5}{8}[/tex]

Answer:

Correct choice is B

Step-by-step explanation:

Consider expression

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}.[/tex]

1. Simplify numerator:

[tex](3m^{-1}n^2)^4=3^4\cdot (m^{-1})^4\cdot (n^2)^4=81m^{-4}n^8.[/tex]

2. Simplify denominator:

[tex](2m^{-2}n)^3=2^3\cdot (m^{-2})^3\cdot n^3=8m^{-6}n^3.[/tex]

Then,

[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}=\dfrac{81}{8}m^{-4-(-6)}n^{8-3}=\dfrac{81}{8}m^2n^5.[/tex]

Answer:

≈ 376.99 pulgadas

Step-by-step explanation:

El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener El volumen de un cono con una altura de 10 pulgadas y un radio de 6 pulgadas es de aproximadamente 376.99 pulgadas en cubos.

La fórmula para el volumen de un cono es π (r ^ 2) (h / 3). Puedes sustituir r con 6 yh con 10 para obtener  aproximadamente 376.99

If you mean 4 x |3| =12

If it's 4 = 3x => 0.75

I'm sorry if I didn't help, I don't understand what you mean with " ! "

Answer is 144

4! = 4*3*2*1 = 24

3! = 3*2*1 = 6

6*24 = 144

Answer:

34

Step-by-step explanation:

5x+2(3+x)

The first step is to distribute the 2

5x+2*3 + 2x

5x+6+2x

Combine like terms

7x+6

Now substitute x=4

7*4+6

28+6

34

Answer:

27 yards

Step-by-step explanation:

multiply 4*6 3/4

Answer:

y = 3x is in slope intercept form.

Step-by-step explanation:

The slope intercept form of an equation is y =mx+b where m is the slope and b is the y intercept.

y =3x  can be written as

y = 3x+0

where 3 is the slope and has a y intercept of 0

y = 3x is in slope intercept form.

Answer:

4.36

Step-by-step explanation:

The given expression is

[tex]\sqrt{4.98+2.18\times 7.31}[/tex]

We need to estimate the value of given expression.

First approximate each term of the given expression.

First term : [tex]4.92\approx 5[/tex]

Second term : [tex]2.18\approx 2[/tex]

Third term : [tex]7.31\approx 7[/tex]

The value of given expression after approximation is

[tex]\sqrt{5+2\times 7}[/tex]

[tex]\sqrt{5+14}[/tex]

[tex]\sqrt{19}[/tex]

The approximate value of [tex]\sqrt{19}[/tex] is 4.36.

Therefore, the estimated value of given expression is 4.36.

The estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.

To estimate the square root of 4.92 + 2.18 x 7.31, we first calculate the value inside the square root:

4.92 + 2.18 x 7.31 = 4.92 + 15.8678 = 20.7878

Next, we estimate the square root of 20.7878:

Since the square root of 16 is 4, and the square root of 25 is 5, we can estimate that the square root of 20.7878 is between 4 and 5.

Therefore, the estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.

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Answer:

x=18

Step-by-step explanation:

6 - x = -12

 +x    +x

6=-12 + x

+12+12

18=x

this is the workk and the answer :}

Answer:

x =18

Step-by-step explanation:

6 - x = -12

Subtract 6 from each side

6-6 - x = -12-6

-x =-18

Multiply by -1

-1*-x = -1 * -18

x = 18

The vertex form of the quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

We have

[tex]y=2(x-3)^2+4[/tex]

h = 3, k = 4

Therefore your answer is:

The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.

The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).

Jaden can build a dance floor measuring 48 square yards with his budget of $526.50, based on the cost of $3.25 per wooden plank.

To calculate the size of the dance floor Jaden can build with his budget, we first need to determine how many wooden planks he can purchase. Each plank costs $3.25 and he has $526.50 to spend.

Number of planks = Total budget / Cost per plank
= $526.50 / $3.25
= 162 planks

Next, we need to find out the area that each plank covers. Since each plank is 8 feet long and 4 inches (or 1/3 feet) wide, its area in square feet is:

Area per plank = Length * Width
= 8 feet * 1/3 feet
= 8/3 square feet

Now, let's calculate the total area covered by 162 planks:

Total area in square feet = 162 planks * [tex]\frac{8}{3}[/tex] square feet/plank
= 432 square feet

Since 1 square yard is equivalent to 9 square feet, we convert the total area to square yards:

Total area in square yards = Total area in square feet / 9
= 432 square feet / 9
= 48 square yards

Therefore, Jaden can build a dance floor measuring 48 square yards within his budget.

Answer:i believe thats only a third of a mile

Step-by-step explanation:

if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped

Answer: yes its 1/3 of a mile

Step-by-step explanation: