A science class began recording the height of a plant each day. On day 10, it was 20 cm tall. On day 35, it was 57.5 cm tall. What does the slope of this scenario represent?
The plant grew 1.5 cm each day.
The plant grew 5 cm each day.
The plant was 1.5 cm tall when you bought it.
The plant was 5 cm tall when you bought it.

Step-by-step explanation:

if this figure is rectangle then opposite side of rectangle are equal

perimeter= sum of all sides

156=5x-3+5x-3+4x+4x

156=18x-6

x=9

So length of side WX is 9. 4

WX= 36

The total number of girls involved in the survey are 271

Using the given percentages, we can calculate the number of girls in each section:

L ∩ O = 25% of the total.

O ∩ H = 20% of the total.

L ∩ H = 15% of the total.

L ∩ H ∩ O = 10% of the total.

Now, let's calculate the total number of girls involved in the survey:

Total = (L ∪ H ∪ O) + (L ∩ O) + (O ∩ H) + (L ∩ H) - (L ∩ H ∩ O) + (Girls who did not want any of the mobiles)

Since we know that 58 girls did not want any of the mobiles, we can substitute that value into the equation:

Total = (L ∪ H ∪ O) + (L ∩ O) + (O ∩ H) + (L ∩ H) - (L ∩ H ∩ O) + 58

Plug in the values of each section and solve for the total:

Total = (55% + 35% + 15%) + (25%) + (20%) + (15%) - (10%) + 58

Simplifying the equation:

Total = 105% + 50% + 58

Total = 213% + 58

Total = 271

Therefore, the total number of girls involved in the survey is 271.

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The company would take 15 days to complete the job with 20 men working at the rate of 12 hours a day.

The company employs 30 men who work for 5 hours a day to complete a job in 10 days. Thus, the number of man-hours required to complete the job is 30 × 5 × 10 = 1500 man-hours. Now, the same job has to be completed by 20 men working for 12 hours a day. Let the number of days required to complete the job be d. Then the number of man-hours required to complete the job is 20 × 12 × d = 240d. Therefore, 240d = 1500. d = 1500/240 = 6.25 days. Hence, the company would take 15 days to complete the job with 20 men working at the rate of 12 hours a day.

Equations are like a balance scale. If you’ve seen a balance scale, you would know that an equal amount of weight has to be placed on either side for the scale to be considered “balanced”. If we add some weight to just one side, the scale will tip on one side and the two sides are no longer in balance. Equations follow the same logic. Whatever is on one side of the equal sign must have exactly the same value on the other side else it becomes an inequality.

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The rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3 is 0.3 m²/s.

If the lengths a and b for two sides of the triangle, as well as the included angle θ, are known, the area of a triangle can be calculated using the sine formula.

\(\text { Area }=\frac{1}{2} a b \sin \theta\)

Now, according to the question;

The two sides of the triangle are given;

Let a = 4m and b = 5m.

Let θ = π/3. be the angle between the two sides;

Then,

Differentiate the area with respect to time (as rate of change of area)

\(\begin{aligned}\frac{\mathrm{d} A}{\mathrm{~d} t}=\frac{\mathrm{d}}{\mathrm{d} t} \frac{1}{2} a b \sin \theta &=\frac{1}{2} * 4 * 5 * \frac{\mathrm{d}(\sin \theta)}{\mathrm{d} \theta} \cdot \frac{\mathrm{d} \theta}{\mathrm{d} t} \\&=10 *(\cos \theta) * 0.06 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.6 \cos (\pi / 3) \frac{\mathrm{m}^{2}}{\mathrm{~s}} \\&=0.6 * 0.5 \frac{\mathrm{m}^{2}}{\mathrm{~s}}=0.3 \frac{\mathrm{m}^{2}}{\mathrm{~s}}\end{aligned}\)

Therefore, the area of the triangle as a function of angle is 0.3 m²/s.

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The complete question is-

Two sides of a triangle are 4m and 5 m in length and the angle between them is increasing at a rate of 0.06 rad/sec. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed lengths is π/3.

Answer:

slope= 1/4

Step-by-step explanation:

8-5 over 8-(-4)= 3/12=0.25 = 1/4

The second option shows a pair of triangles which are congruent by the SSS congruence theorem.

The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.

The congruent sides for the second option are given as follows:

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The value of x is 8.

A linear equation system is a collection of two or more linear equations involving the same set of variables. The goal of solving a linear equation system is to find a set of values for the variables that satisfy all of the equations simultaneously. In general, a linear equation can be written as:

a₁x₁ + a₂x₂ + ... + aₙxₙ = b

Given linear system:

2x - y + 5z = 16 ...(1)

y + 2z = 2 ...(2)

z = 2 ...(3)

From equation (3), we get z = 2. Substituting this value of z in equation (2), we get y + 4 = 2, which gives us y = -2.

Substituting the values of y and z in equation (1), we get:

2x - (-2) + 5(2) = 16

2x + 12 = 16

2x = 4

x = 2

Therefore, the value of x is 2.

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Answer:

150=2x5x5x3, or 150=2x5^2x3

Step-by-step explanation:

150=50x3

50=5x10

10=2x5

150=2x5x5x3

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

Answer:

I have no idea also for geometry

Answer:

\(= 5\sqrt{3}\)

Step-by-step explanation:

    Prime factorize 75.

75 = 5 * 5 * 3

\(\sqrt{75} = \sqrt{5*5*3}\)

       \(= 5\sqrt{3}\)

Answer:

\(5\sqrt{3}\)

Step-by-step explanation:

\(\sqrt{75}\) can be rewritten as \(\sqrt{25 * 3}\) or \(\sqrt{5 * 5 * 3}\)

Since 25 (or 5 * 5) is a perfect square, we can take the root (5) out of the expression

\(\sqrt{25} * \sqrt{3}\) , which is \(5\sqrt{3}\)

Complete question is;

A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that​ don't wear well. How should he word his guarantee if he is willing to replace approximately​ 10% of the​ tires?

Answer:

The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Step-by-step explanation:

Let X = Life expectancy of the automobile tire

For the normal distribution, we are given;

μ = 34000

σ = 2700

Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.

Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:

P(X ≤ y) = 0.1

Using the z formula, we have;

P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1

Thus;

P(Z ≤ ([y - μ]/σ) = 0.1

From z-distribution table the Z-score at 0.1 is approximately -1.2816

This is P(Z ≤ -1.2816)

Thus;

[y - μ]/σ = -1.2816

(y - 34000)/2500 = -1.2816

y - 34000 = -1.2816 × 2500

y - 34000 = -3204

y = 34000 – 3204

y = 30796

So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Two numbers are in the ratio 4: 7. If their L.C.M. is 168,The numbers would be 56 and 98.

The smallest positive integer that is divisible by both a and b is known as the least common multiple (lcm) in mathematics and number theory. It can also be referred to as the lowest common multiple (lcm), or the smallest common multiple of two numbers (a and b).

The given ratio is 4:7, which can be written as 4/7.

To find the individual numbers, we can use the formula:

Number1 = LCM × Ratio1/ (Ratio1 + Ratio2)

Number2 = LCM × Ratio2/ (Ratio1 + Ratio2)

Therefore,

Number1 = 168 × 4/ (4 + 7) = 56

Number2 = 168 × 7/ (4 + 7) = 98

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Answer:

ба ман нуқтаҳо лозиманд :) умедворам шумо мефаҳмед

Step-by-step explanation:

Answer:

What is the GCF of 75 and 27? The GCF of 75 and 27 is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Observe what happens to y if we move from x = 1 to x = 9:  y decreases by 2.  Thus, the slope of the line in question is m = rise / run = -2/8, or -1/4.

Writing the equation in point-slope form, y - k = m(x - h), we get:

y - 7 = (-1/4)(x - 1)      (point-slope form)

Solving for y results in the slope-intercept form:

y = 7 - x/4 + 1, or

y = (-1/4)x + 8     (slope-intercept form)

Answer: 17.75 deliveries made per hour

Step-by-step explanation:

71/4 = how many deliveries made per hour.

The distance a car can drive is not a discrete random variable but a continuous random variable.

The distance a car can drive is not a discrete random variable.

A discrete random variable is one that can take on a countable number of distinct values.

Examples of discrete random variables include the number of smarties in a box, the number of students in a college class, and individuals' shoe sizes (which can be measured in whole numbers or specific sizes).

These variables have finite or countably infinite possible values.

On the other hand, the distance a car can drive is a continuous random variable. It can take on any value within a range (e.g., 0 miles to the maximum distance the car can travel), and there are infinitely many possible values within that range.

Continuous random variables are associated with measurements and can take on any value within a specified range, often involving real numbers.

Therefore, the distance a car can drive is not a discrete random variable but a continuous random variable.

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Answer:

39 Points

Step-by-step explanation:

Giants = G

Cowboys = C

Packers = P

Packers scored 39 points

17 * 2 = 34

34 - 9 = 25

25 + 14 = 39

Your welcome!

Kayden Kohl

8th Grade

Answer:

4z+8

Step-by-step explanation:

combine your like terms

6z-2z=4z

3+5=8

The chance of observing Mississippi after permuting the letters of it and randomly picking a word from that set is 1 in 34032.

The number of words that can be constructed from the letters of the word "Mississippi" is given by the number of permutations of those letters. Since the letters are not unique, we use the formula for permutations with repetition:

n! / (n₁! ×  n₂! ×  ... × nk!)

where n is the total number of letters, and n₁, n₂, ..., nk are the number of times each letter is repeated.

In this case, n = 11 and n₁ = 4, n₂ = 4, n₃ = 2, n₄ = 1.

So, the number of words that can be constructed is 11! / (4! × 4! × 2! × 1!) = 34, 032.

Thus, the chance of observing "Mississippi" is 1 in 34, 032 or approximately 1/34.

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Answer:

Step-by-step explanation:

Angles ∠1 and ∠2 are

Picture 1

Picture 2

Answer:

6c + 4f = 26

Step-by-step explanation:

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

To plan a party for more than 200 people, the number of guests for which both packages of buns and hotdogs will work evenly is 40 people. Here's an explanation of how to get this answer: First, we need to find the common multiple of 8 and 10 since buns come in packs of 8 while hotdogs come in packs of 10. The common multiple of 8 and 10 is 40. Next, we need to divide the total number of people by the common multiple of 8 and 10, which is 40. So, 200 divided by 40 equals 5. Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people. Any additional guests can be accommodated by purchasing extra packages of buns and hotdogs. So, the answer is 40 guests.

Therefore, the packages of buns and hotdogs will work evenly for 5 groups of 40 people each, which is a total of 200 people.

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Answer:

Miles, missing number: 13

Hours, missing number: 1/25 ?

The missing values are 3 and 2/3

A ratio indicates the number of times one number contains another.

Let the missing number in the "miles" row be x and the missing number in the hour's row be y.

Since the values are equivalent ratios, it follows:

18/(4/5) = x/(2/15)

90/4 = 15x/2

15x = 45

x = 3

Similarly,

3/(2/15) = 15/y

45/2 = 15/y

y = 30/45

y = 2/3

The ratios of the missing columns are:

3 : 2/15 and 15 : 2/3

Hence, the missing values are 3 and 2/3.

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The graphs of quadratic functions are:

B, D, and F.

The graph of a quadratic function is a parabola. This is, a shape like an "U", such that the arms extend as it goes up/down.

From the given options, the ones that are parabolas are:

B: We can see a parabola that opens downwards.

C: We can see a parabola that opens upwards.

F: we can see a parabola that opens upwards.

So these 3 are the correct options.

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The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is

8363 square inches

The rate of change is the derivative, the rate of change is calculated by differentiation the area

formula for area of concentric circle is given by

Area A = π(R^2 - r^2) =

R = radius of the inner circle

r = radius of the outer circle

δA/δt = δA/δRδr * δRδr/δt

δA/δt = π * (2RδR/δt - 2rδr/δt)

δA/δt = π * 2(R * δR/δt - r * δr/δt)

where R = 44 and δR/δt = 22

r = 33 and δr/δt = -11

= 2π(44 * 22 - 33 * -11)

= 2π (968 - -363)

=  2π (1331)

= 2662π

= 8362.9196 square inches

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Answer:

x=1

y=-2

z=-1 ( substitute into equations)