I need help i don't get this​

The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.

The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.

The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.

However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

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Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Hope this helps you out.

The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

The 10th percentile is 66.42.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

X ~ N(70, 14).

This means that \(\mu = 70, \sigma = 14\)

Suppose that you form random samples of 25 from this distribution.

This means that \(n = 25, s = \frac{14}{\sqrt{25}} = 2.8\)

Find the 10th percentile.

This is X when Z has a pvalue of 0.1, so X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(-1.28 = \frac{X - 70}{2.8}\)

\(X - 70 = -1.28*2.8\)

\(X = 66.42\)

The 10th percentile is 66.42.

Answer:

square

Step-by-step explanation:

The value of x is (-∞, -5) ∪ (1, ∞).

Given is a polynomial, \(x^4+2x^3-12x^2+14x-5 > 0\),

Solving for x,

Factors =

\(x^4+2x^3-12x^2+14x-5\\ \\= \quad \left(x-1\right)^3\left(x+5\right)\)

Therefore,

\(\left(x-1\right)^3\left(x+5\right) > 0\)

\(x < -5\quad \mathrm{or}\quad \:x > 1\)

Hence the value of x is (-∞, -5) ∪ (1, ∞).

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a. The center of the circle is (-2, -1).

b. The radius of the circle is √136.

c. The equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

a. To find the center of the circle, we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

In this case, the endpoints of the diameter are P(-7, -4) and Q(3, 2).Applying the midpoint formula:

Midpoint = ((-7 + 3)/2, (-4 + 2)/2)

= (-4/2, -2/2)

= (-2, -1)

Therefore, the center of the circle is at the coordinates (-2, -1).

b. To find the radius of the circle, we can use the distance formula, which calculates the distance between two points (x1, y1) and (x2, y2). The radius of the circle is half the length of the diameter, which is the distance between points P and Q.

Distance = √\([(x2 - x1)^2 + (y2 - y1)^2]\)

Using the distance formula:

Distance = √[(3 - (-7))^2 + (2 - (-4))^2]

= √\([(3 + 7)^2 + (2 + 4)^2]\)

= √\([10^2 + 6^2\)]

= √[100 + 36]

= √136

Therefore, the radius of the circle is √136.

c. The equation for a circle with center (h, k) and radius r is given by:

\((x - h)^2 + (y - k)^2 = r^2\)

In this case, the center of the circle is (-2, -1), and the radius is √136. Substituting these values into the equation:

\((x - (-2))^2 + (y - (-1))^2\) = (√\(136)^2\)

\((x + 2)^2 + (y + 1)^2 = 136\)

Therefore, the equation of the circle is (x + 2)^2 + (y + 1)^2 = 136.

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Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:

they are neither

Step-by-step explanation:

because if you connect the dots they are neither parallel or perpendicular

Answer:

1. 0.625 inch

2. 58 feet per second

3. 202.5 meters

4. 8.333 miles

5. 0.4 hour or 24 minutes

Step-by-step explanation:

^^^

Answer:

In one full day, a kudzu vine can grow 15 inches in length. How many inches per hour is this? (.625 inches)

2. Allison threw a baseball that traveled 145 feet in 2 ½ seconds. What was the average speed of the ball in feet per second?   (58 feet)

3. Erica runs 4 ½ meters per second. At this speed, how many meters can she run in 45 seconds?  (202.5 meters)

4. Roland’s remote control boat has a max speed of 25 miles per hour. How many miles can Roland’s boat travel in 1/3 of an hour? (8.3 miles)

5. Anna can walk 10 miles in 4 hours. At this rate, how many minutes does it take her to walk one mile? (.0416)

Step-by-step explanation:

For #1.) 15 divided by 24 which equals 0.625

For #2.) divide 145 by 2.5

For #3.) time 4.5 by 45

For #4.) divide 25 by 3

For #5.) divide 10 by 4 then 2.5 by 60 to get .0416

Answer:45%

Step-by-step explanation:

Answer:

57m2

Step-by-step explanation:

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer: the cats will consume 1/12 per day

Step-by-step explanation:

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

\( 42 + 0.72m = 70 + 0.12m \)

Collect like terms

\( 0.72m - 0.12m = 70 - 42 \)

\( 0.6m = 28 \)

Divide both sides by 0.6

\( \frac{0.6m}{0.6} = \frac{28}{0.6} \)

\( m = 46.7 \)

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

Answer:

The answer is $11

Step-by-step explanation:

Now,

7% of $10.18

10.18 × 7 ÷ 100 = $0.71

So,

$10.18 + $0.71 = $10.89 ≈ $11

Thus, His new wage per hour to the nearest cent is $11

-TheUnknownScientist 72

Answer:

The answer is 11 = ($11)

His new wage per hour to the nearest​ cent is $11.

First,

We need to multiply $10.18 by %7 so we will get 71.26

Then,

71.26 ÷ 100 = $0.71

After that,

Add $10.18 and $0.71

The answer will be $10.89 to the nearest​ cent is $11

MARK AS A BRAINLIST IF MY ANSWER WAS HELPFUL

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

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Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

Answer: 18 lilac bushes

Step-by-step explanation:

24/4=6

3x6=18

Answer:

c=10

Step-by-step explanation:

First combine like terms by doing 3c-4c to get -1c-5=-15. Then add 5 to both sides to get -1c=-10. Then divide by -1 on both sides to get c = 10

Answer:

\( \cos (u + v) = -\dfrac{56}{65} \)

Good job!

Step-by-step explanation:

\( \cos (u + v) = \cos u \cos v - \sin u \sin v \)

\( \sin u = -\dfrac{3}{5} \); u is in QIII.

That makes \( \cos u = -\dfrac{4}{5} \)

\( \sin v = -\dfrac{12}{13} \); v is in QIV.

That makes \( \cos v = \dfrac{5}{13} \)

\( \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) \)

\( \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} \)

\( \cos (u + v) = -\dfrac{56}{65} \)

You are correct.

Answer:

Step-by-step explanation:

-0.8615

7

Step-by-step explanation:

(x - 3)² = 16

x² - 6x + 9 = 16

x² - 6x + 9 - 16 = 0

x² - 6x - 7 = 0

(x - 7)(x + 1)

x = 7 \/ x = -1

so positive value of x = 7

Answer:

The mode is 21.

Step-by-step explanation:

Mode is a number than appears most frequently in a set of numbers.

Answer:

\(21\)

Step-by-step explanation:

The Most frequently number that appears in a set of numbers is called as mode.

21 , 7 , 19 , 21 , 60 , 21 , 19

Now here we can clearly see that 21 is the most frequent number that appears in the text.

hope this helps

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good luck! have a nice day!

Answer:

5

Step-by-step explanation:

Answer:

x = 163.5

x = 1.2

Step-by-step explanation:

Recall: SOH CAH TOA

For the first triangle:

Reference angle = 73°

Opposite = x

Adjacent = 50

Apply TOA:

Tan 73° = Opp/Adj

Tan 73° = x/50

50*Tan 73° = x

163.542631 = x

x = 163.5 (nearest tenth)

For the first triangle:

Reference angle = 4°

Opposite = x

Adjacent = 17

Apply TOA:

Tan 4° = Opp/Adj

Tan 4° = x/17

17*Tan 4° = x

1.1887558 = x

x = 1.2 (nearest tenth)

The answer choice which represents a pair of independent events is; Choice B; choosing one card from a deck and then choosing one card from another deck.

It follows from the task content that the answer choice which represents a pair of independent events is required.

On this note, a pair of independent events is one in which case, the occurrence of one does not hinder the other's occurrence.

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Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

Answer:

standard form:  -4x + y = 4

slop-intercept form:  y = 4x + 4

Step-by-step explanation:

Find two points on the line:  (0, 4) and (-1, 0)

slope = change in y ÷ change in x = (4 - 0) ÷ (0 - -1) = 4 ÷ 1 = 4

from inspection, y-intercept = 4

Therefore, equation of line in slope-intercept form:  y = 4x + 4

Now use this to determine standard form

Standard form: Ax+By=C

so for  y = 4x + 4

standard form is:  -4x + y = 4

The time it will take the roller coaster to reach the ground is 171.65 seconds

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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