help pls i wish i knew how to do

The graph shows the amount of money paid when purchasing bags of candy at the zoo:



Write an equation to represent the relationship between the total cost (y) and the number of bags of peanuts (x).

A) y = 4x
B) y = 1/4x
C) y = 3x
D) y = 1/3x

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14

7 · 5 = 35 7 · 6 = 42 7 · 7 = 49

10 · 0 = 0 10 · 1 = 10 10 · 2 = 20

10 · 5 = 50 10 · 6 = 60 10 · 7 = 70

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

r=1+2sin(theta)

r^2=r+2*r*sin(theta)

x^2+y^2=±sqrt(x^2+y^2)+2y

Answer:

Approximately \(0.60\) (which is equivalent to \(60\%\).)

Step-by-step explanation:

Here's how to find this probability using a \(Z\)-table.

Let \(X\) denote the price (in dollars) of one laptop price from this set of prices.

The question states that this set of prices is normally distributed with a mean of \(\$750\) and a standard deviation of \(\$60\). Therefore, \(X\) would be a normal random variable with mean \(\mu = 750\) and standard deviation \(\sigma = 60\). .

What this question is asking for is (the same as) the probability that \(X\) is between the lower bound \(624\) and the upper bound \(768\). That is:

\(P(624 \le X \le 768)\).

This probability can be written as the difference between of two simpler probabilities: the probability that \(X\) is less than the upper bound \(P(X < 768)\), minus the probability that \(X\!\) is less than the lower bound \(P(X < 624)\).

The first probability \(P(X < 768)\) covers a wide range of possibilities; if \(X < 624\), then it must be true that \(X < 768\). Therefore, the region corresponding to the second probability \(P(X < 624)\) is completely enclosed in the first region. Subtracting the second probability from the first will give the probability of the area between the upper and lower bound, which is indeed equal to \(P(624 \le X \le 768)\).

\(P(624 \le X \le 768) = P(X \le 768) - P(X \le 624)\).

Both \(P(X < 768)\) and \(P(X < 624)\) can be found using a \(Z\)-table. Here are the steps:

Calculate the \(z\)-score of the two bounds (\(624\) and \(768\)) with respect to the distribution of \(X\), the laptop price. For a normal distribution of mean \(\mu\) and standard deviation \(\sigma\), a measurement of value \(x\) will have a \(z\)-score of:

\(\displaystyle z = \frac{x - \mu}{\sigma}\).

For the two bounds in this question:

Rewrite the two probabilities using the \(z\)-score of the two bounds:

Look up the probabilities corresponding to these two \(z\)-scores on a \(z\!\)-score table. Note, that some \(z\!\!\)-tables did not include the section where \(z < 0\). That's not a problem because the \(z\!\!\!\)-distribution is symmetric.

\(\begin{aligned}P(Z < -2.1) &= P(Z > 2.1) && \text{By the symmetry of $z$-distribution} \\ &= 1 - P(Z< 2.1)\end{aligned}\).

On a typical \(z\)-table:

Therefore:

\(\begin{aligned}P(X < 624) &= P(Z < -2.1)\\ &= 1 - P(Z < 2.1) \approx (1 - 0.982136) \end{aligned}\).

\(P(X < 768) = P(Z < 0.30) \approx 0.617911\).

\(\begin{aligned}P(624 < X < 768) &= P(X < 768) - P(X < 624) \\ &\approx 0.982136 - 0.617911\\ &\approx 0.60 \end{aligned}\).

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

\(\hat{y}=3.0979+2.7633x\)

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

\(\hat{y}=3.0979+2.7633(22)\)

\(\hat{y}=63.8905\)

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Answer:

this doesnt even relate to the answer. blasphomy.

Step-by-step explanation:

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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Answer:

55

Step-by-step explanation:

a triangle adds up to 180°

25+30+x= 180

55+x=180

x=180-55

x=125

x and y is a straight line so it adds up to 180°

x=125 y=?

x+y=180

125+y=180

y=180-125

y=55°

y= 55°

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

Answer:

$2,500 or 25%

Step-by-step explanation:

Let's use the same example:

Cost of Equipment = $10,000

Useful Life = 4 years

Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100

Annual Depreciation = Cost of Equipment / Useful Life

Annual Depreciation = $10,000 / 4 years

Annual Depreciation = $2,500

Depreciation Rate = ($2,500 / $10,000) * 100

Depreciation Rate = 0.25 * 100

Depreciation Rate = 25%

Answer:

yes

Step-by-step explanation:

3/9  Divide the top and bottom by 3

1/3

5/15 Divide the top and bottom by 5

1/3

They are equal

If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .

In the question ,

it is given that

the when the object is dropped from height h then the velocity with which it hits the ground is given by the formula

v = √(19.6×h)

to find the height it was dropped , and it hits the ground with velocity 25.7 meter per second ,

we substitute v = 25.7 in the equation v = √(19.6×h) ,

we get ,

25.7 = √(19.6×h)

squaring both the sides , we get

19.6 × h = 25.7²

19.6 × h = 660.49

h = 660.49/19.6

h = 33.698

h ≈ 33.7

Therefore ,If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .

The given question is incomplete , the complete question is

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = √(19.6×h) . If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?

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the first mechanic charged $55 per hour and the second mechanic charged $100 per hour. we solve this by forming equation by by given data.

what is equation ?

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of two sides separated by an equal sign (=). The expressions on each side of the equal sign can contain variables,

In the given question,

Let's assume that the first mechanic charged x dollars per hour and the second mechanic charged y dollars per hour.

From the problem, we know that:

The first mechanic worked for 20 hours, so he charged 20x dollars.

The second mechanic worked for 15 hours, so he charged 15y dollars.

Together, they charged a total of $2600, so we have:

20x + 15y = 2600

The sum of the two rates was $155 per hour, so we have:

x + y = 155

We can use these two equations to solve for x and y. First, we can rewrite the second equation as:

y = 155 - x

Then, we can substitute this expression for y into the first equation:

20x + 15(155 - x) = 2600

Simplifying and solving for x, we get:

20x + 2325 - 15x = 2600

5x = 275

x = 55

Now that we know x, we can use the second equation to find y:

y = 155 - x = 155 - 55 = 100

Therefore, the first mechanic charged $55 per hour and the second mechanic charged $100 per hour.

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Given,

The principal amount is 20k.

The rate of interest is 8.3%.

The time period is 6 Years.

Required

The amount of investment after 6 years.

The amount is calculated as,

Hence, the amount after 6 years is 2000 x (1 + 0.083)^6.

Answer:

D

Step-by-step explanation:

An arithmetic sequence is a series of numbers that increases or decreases by a certain quantity every step. A is not an arithmetic sequence, since it alternates between 2 and -2. B is not an arithmetic sequence, since it does not grow constantly in one direction. C is not an arithmetic sequence, but rather a geometric one. D is an arithmetic sequence, decreasing by 3 with each step. Hope this helps!

The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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The length of the second trial will be equal to 2(⁵/₈) miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two bicycle trails were developed in a new housing development. One trail is 3¹/₂ miles long. The other trail is 3/4 as long.

The length of the second trial will be calculated as,

Length =  3/4 x ( 3¹/₂ )

Length = 2(⁵/₈)

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Goodluck

Step-by-step explanation:

Answer:

Step-by-step explanation:

area of square=side ×side

we have, side=x+8

also we have area of square=64cm²

∴  (x+8)cm×(x+8)cm=64cm²

⇒x²+16x+64=64                            ∵( a+b )²=a²+b²+2ab

⇒x²+16x=0

⇒x(x+16)=0

∴x=0 or x=-16

Answer: I think its 1

Step-by-step explanation:

Answer:

1:b

2:a

3:d

4:c

Step-by-step explanation:

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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Answer:

good luck !!

Step-by-step explanation:

Answer:

Good luck

Step-by-step explanation:

As the data says , the null and alternate hypothesis will be H0 :p=0.50 and H1:p ≠ 0.50

Let p stand for the true proportion of odds.

To compare the

null hypothesis H0:P = 0.50

alternative hypothesis H1:p 0.50

Let p represent the sample proportion and n represent the sample size.

here,

p = 14/40

= 0.350

n=40, p₀ = 0.500,

= proportional standard error under null 0.50 * (1 -0.50) /40

= 0.079057

The test statistic is as follows:

z = p - p0 / √ p0  ( 1  - p0) / n )

They follow a typical normal distribution under H0

If P-value 0.05 or |Zobs| > 0, we reject H0 t 0.05 threshold of significance. z0.025

Now,

The test statistic value is -1.897367.

1.959964 is the key value.

P-value = 2*P(Z - 1.897367) + P(|z|>Zobs)

= 2 * 0.028890

= 0.057780≈ 0.0578

Because the p-value is greater than 0.05 and |Zobs|  = 1.959964,

As a result, we fail to reject H0 at the 0.05 threshold of significance.

As a result, the population proportion has decreased.

Null and alternate hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always expects no effect or no association between variables, whereas the alternative hypothesis of a test always predicts no effect or no association between variables.

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Answer:

Step-by-step explanation:

Step 1: The sample proportion is pˆ=1440=0.35, the hypothesized proportion is p0=0.5, and the sample size n=40.

Step 2: The test statistic, rounding to two decimal places, is z=0.35−0.50.5(1−0.5)40−−−−−−−−−−√≈−1.897.

Step 3: Since the test is two-tailed and the test statistic is negative, entering the function =2*Norm.S.Dist(−1.90,1) into Excel returns a p-value, rounding to three decimal places, of 0.058.

Answer:

x = √130

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x