what is the aswer to ....y=3x+30

Range: All real numbers greater than or equal to 3. The Option C.

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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Domain

\(-\infty \: < x < \infty\)

Range

\(f\left(x\right)\ge \:-7\:\)

Answer:

565,482

Step-by-step explanation:

As the mosquito population grows by a constant rate of 6% each day, we can use the exponential growth formula to create an equation to find the number of mosquitoes in the city "t" days after May 10th.

\(\boxed{y=a(1+r)^t}\)

where:

Given the size of the mosquito population on May 10th is 210,000:

Given the growth rate is 6%:

Substitute the values of a and r into the formula to create an equation for the number of mosquitos in the city "t" days after May 10th.

\(y=210000(1+0.06)^t\)

\(y=210000(1.06)^t\)

To calculate how many mosquitoes will inhabit the city on May 27th, substitute t = 17 into the equation.

\(\implies y=210000(1.06)^{17}\)

\(\implies y=210000(2.69277278...)\)

\(\implies y=565482.285011...\)

\(\implies y=565482\; \sf(nearest\;whole\;number)\)

Therefore, the number of mosquitoes that will inhabit the city on May 27th is approximately 565,482 to the nearest whole number.

Answer:

y=

-5/2x

-25/2

Honestly I don't know if this is right so sorry if its wrong.

(it wouldn't let me type it normally)

For y =f(x) = (3/ 2)x +4, all the ordered pairs for the values in the given domain {-8, -4, -2,0,2,4 } can be found in the attached figure 4.

Function is a relation between two sets such that it relates of the input set to a unique element of output set . This input set is Domain of the function.

Let f(x) be a function , values of x comes from a domain set, then y =f(a ) be a value of function of function f at some particular x= a.

Given function y =f(x) = (3/ 2)x +4

f(-8)= (3/2)(-8)+4 = -8, for x =-8 , y= -8 , (x, y ) = (-8, -8)

f(-4) = (3/2)(-4)+4 = -2, for x = -4 , y= -2 , (x, y ) = (-4, -2)

f(-2)= (3/2)(-2)+4 = 1 , for x = -2, y= -8 , (x, y ) = (-2, 1)

f(0)=(3/2)(0)+4 = 4 , for x =0 , y= -8 , (x, y ) =  (0, 4)

f(2)= (3/2)(2)+4 = 7, for x =2 , y= -8 , (x, y ) = (2, 7)

f(4)=(3/2)(4)+4 = 10 , for x =4 , y= -8 , (x, y ) = (4, 10)

Therefore, We plot (-8, -8), (-4, -2),  (-2, 1),  (0, 4),  (2, 7), (4, 10) ordered pairs and can be found in the attached figure 4.

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The parametrize equation of the cone is r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4

What is parametrize equation?

A parametric equation in mathematics describes a collection of numbers as functions of one or more independent variables known as parameters.

As per question given that,

Cone z = √ (8x² + 8y²) with 0 ≤ z ≤ √8

Suppose that,

X = u, and Y = v

Then

r (u, v) = = (u, v, z) for 0 ≤ u²+ v² ≤ 4

r (u, v) = = (u, v, √ (8x² + 8y²)) for 0 ≤ u²+ v² ≤ 4

Thus

z = 8 - x² - y²

4 = 8 - x² - y²

x² + y² = 4

So, that r (u, u) = (u, v, 8 - u²- v²) for the interval 0 ≤ u²+ v² ≤ 4.

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Answer:

2

Step-by-step explanation:

We need to get 2 points

(0,1) and (1,3)

The slope is given by

m = (y2-y1)/(x2-x1)  

   = (3-1)/(1-0)

    = 2/1

  =2

Answer:

The Correct answer is C

There is no solution

Step-by-step explanation:

2x-y=3

y=2x-3

substituting into equation 2

3(2x-3)=6x-9

6x-9=6x-9

in which 0=0

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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\( \sf \dfrac{24}{2} = \dfrac{t}{7} \)

\( \sf \dashrightarrow \:\dfrac{24}{2} = \dfrac{t}{7} \)

\( \sf \dashrightarrow \: \cancel{\dfrac{24}{2}} = \dfrac{t}{7} \)

\( \sf \dashrightarrow \:12 = \dfrac{t}{7} \)

\( \sf \dashrightarrow \:12 \times 7 = t\)

\( \sf \dashrightarrow \:84 = t\)

\( \sf \dashrightarrow \:t = 84\)

Hence, The solution is \( \large \underline{\boxed{\sf t = 84}}\)

We can see that M<1 and M<2 are equal in measure, which means they are nοt supplementary and dο nοt fοrm a straight line.

In geοmetry, a straight line is a οne-dimensiοnal figure that extends infinitely in bοth directiοns.

Withοut mοre infοrmatiοn, it's difficult tο determine what the questiοn is asking fοr. Hοwever, based οn the given equatiοns, we can determine the relatiοnship between the twο angles.

Since M<1 and M<2 are angles, we knοw that their measures must be between 0 and 180 degrees. Additiοnally, if twο angles are supplementary (meaning their measures add up tο 180 degrees), then they fοrm a straight line.

To find out if M<1 and M<2 are supplementary, we can set their measures equal to each other and solve for x:

4x - 7 = 2x + 11

2x = 18

x = 9

Now that we know x, we can substitute it back into either equation to find the measure of each angle:

M<1 = 4x - 7 = 29

M<2 = 2x + 11 = 29

Therefore, we can see that M<1 and M<2 are equal in measure, which means they are not supplementary and do not form a straight line.

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Complete question:

Prove that M<1 = M<2 when given that M<1 = 4x-7 and M<2 = 2x+11

Answer:

0.125

Step-by-step explanation:

Answer

0.125

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5y-21=14

or, 5y = 14+21

or, 5y = 35

or, y = 35/5 = 7

Answer is 7.

The relation O = {(1,1),(5,5),(1,5),(5,1),(11,11)} is an equivalence relation on the set A = {1,5,11}.

To determine if a relation is an equivalence relation, it needs to satisfy three properties: reflexivity, symmetry, and transitivity. In the given options, the relation O = {(1,1),(5,5),(1,5),(5,1),(11,11)} satisfies all three properties: Reflexivity: For every element x in A, (x,x) is in O. In this case, (1,1), (5,5), and (11,11) are all present in O, fulfilling reflexivity. Symmetry: If (x,y) is in O, then (y,x) is also in O. The pairs (1,5) and (5,1) are present in O, satisfying symmetry. Transitivity: If (x,y) and (y,z) are in O, then (x,z) is also in O. There are no pairs violating transitivity in O. Therefore, the relation O = {(1,1),(5,5),(1,5),(5,1),(11,11)} is an equivalence relation on the set A = {1,5,11}.

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Answer: B. both can be arranged in some order

Step-by-step explanation:

At the ordinal level of measurement, data can be ordered in some format however it is not possible to know how much the data vary from each other. For instance: Very Bad, Bad, Good, Very Good. Data can be ordered under this but we won't know just how much of a difference exists.

Interval data can also be ordered and this time we can tell how the data varies from one another for instance by 1 or 2. The only problem here however, is that interval data does not end with zero.

The question is an illustration of a linear function

The equation of that represents the function is y = 1/3x

Assume the variables are x and y, where:

In this case, we have:

The unit in feet is multiplied by 1/3 to get the unit in yard.

So, the equation is:

\(y = \frac 13x\)

See attachment for the graph

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Answer:

1. 1

2. -30

3. -2

4. 15

Step-by-step explanation:

Answer:  The SD is 5.589

Step-by-step explanation:

The distance he would travel in 2 hours if he drove 156 miles in 3 hours is 104 miles.

Find how far he would he travel in 2 hours

Number of miles : Time taken

156 : 3 = x : 2

156/3 = x/2

cross product

156 × 2 = 3 × x

312 = 3x

divide both sides by 3

x = 312 / 3

x = 104 miles

Therefore, the distance he would travel in 2 hours if he drove 156 miles in 3 hours is 104 miles.

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Answer:  104

Step-by-step explanation:

Answer:x=10

Step-by-step explanation:-35-675 is -710 then divide by -71 thats going to be 10 because negative divided by a negative is positive

Answer:

x = 10

Step-by-step explanation:

Given equation,

→ -71x + 675 = -35

Now we have to,

→ Find the required value of x.

Then the value of x will be,

→ -71x + 675 = -35

Subtract RHS with the number 675:

→ -71x = -35 - 675

→ -71x = -710

Cancelling negative sign in both sides:

→ 71x = 710

→ x = 710 ÷ 71

→ [ x = 10 ]

Hence, the value of x is 10.

The volume of a solid above the square and below the elliptic paraboloid is to be estimated by dividing the square R into 9 equal squares and selecting sample points in the center of each square. We know that, R = [0,1] × [0,1]Divide each interval into three equal subintervals, then the subinterval lengths are Δx = 1/3 and Δy = 1/3. Thus, the sample points are as follows:(1/6, 1/6), (1/6, 1/2), (1/6, 5/6)(1/2, 1/6), (1/2, 1/2), (1/2, 5/6)(5/6, 1/6), (5/6, 1/2), (5/6, 5/6)Using these sample points, we can compute the volume of each of the corresponding rectangular parallelepipeds using the formula Volume of rectangular parallelepiped = ∆V ≈ f(xi,yi) ∆x ∆y.Then, the approximated value of the volume of the solid is as follows.∆V1 ≈ f(1/6,1/6) ∆x ∆y = [100 - (1/6)² - 6(1/6)(1/6) - (1/6)²] 1/9∆V2 ≈ f(1/6,1/2) ∆x ∆y = [100 - (1/6)² - 6(1/6)(1/2) - (1/2)²] 1/9∆V3 ≈ f(1/6,5/6) ∆x ∆y = [100 - (1/6)² - 6(1/6)(5/6) - (5/6)²] 1/9∆V4 ≈ f(1/2,1/6) ∆x ∆y = [100 - (1/2)² - 6(1/2)(1/6) - (1/6)²] 1/9∆V5 ≈ f(1/2,1/2) ∆x ∆y = [100 - (1/2)² - 6(1/2)(1/2) - (1/2)²] 1/9∆V6 ≈ f(1/2,5/6) ∆x ∆y = [100 - (1/2)² - 6(1/2)(5/6) - (5/6)²] 1/9∆V7 ≈ f(5/6,1/6) ∆x ∆y = [100 - (5/6)² - 6(5/6)(1/6) - (1/6)²] 1/9∆V8 ≈ f(5/6,1/2) ∆x ∆y = [100 - (5/6)² - 6(5/6)(1/2) - (1/2)²] 1/9∆V9 ≈ f(5/6,5/6) ∆x ∆y = [100 - (5/6)² - 6(5/6)(5/6) - (5/6)²] 1/9Add up the volumes of the rectangular parallelepipeds to get the approximated volume of the solid.∆V1 + ∆V2 + ∆V3 + ∆V4 + ∆V5 + ∆V6 + ∆V7 + ∆V8 + ∆V9 = 1/9[100 - 1/36 - 1/36 - 1/36 - 1/4 - 5/36 - 25/36 - 5/36 - 25/36]≈ 6.847Therefore, the approximated volume of the solid is 6.847.

Answer:

\(\boxed{y=-2x+25}\)

Step-by-step explanation:

First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.

4x + 2y = 50

2y = -4x + 50

y = -2x + 25

Answer:

\(y=-2x+25\)

Step-by-step explanation:

To find the slope-intercept form of the equation, we just need to isolate the y-variable.

So we have the equation:

\(4x+2y=50\)

First, subtract 4x from both sides. The 4xs on the left cancel:

\((4x+2y)-4x=50-4x\\2y=-4x+50\)

Now, divide both sides by 2. The 2s on the left cancel:

\(\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}\)

Simplify the right side. Expand the fraction:

\(y=\frac{-4x}{2}+\frac{50}{2} \\\)

Cancel out the terms:

\(y=-2x+25\)

Therefore, the slope-intercept form is:

\(y=-2x+25\)

Answer: 20 liters

Step-by-step explanation:

Let the number of liters of 15% alcohol solution be \(x\).

\(0.15x+30(0.4)=0.3(x+30)\\\\0.15x+12=0.3x+9\\\\12=0.15x+9\\\\0.15x=3\\\\x=20\)

Answer:

Supplementary angle = 98°

Complementary angle = 8°

Step-by-step explanation:

By definition, sum of complementary angles is equal to 90°.

Therefore, complementary angle of 82° = 90° - 82°

                                                                 = 8°

Similarly, sum of supplementary angles is equal to 180°.

Therefore, supplementary angle of 82° = 180° - 82°

                                                                  = 98°

The supplementary angle 98°

The complementary angle 8°.

Answer:

x = 11

Step-by-step explanation:

3x + 5x + 2 =90

(3x + 5x) + (2) = 90

8x + 2 = 90

8x + 2 -2 = 90 -2

8x = 88

8x/8 = 88/8

x = 11

The Gram-Schmidt process is an algorithm to transform a linearly independent set of vectors into an orthogonal set of vectors. Given a basis, we can perform the Gram-Schmidt process to get an orthonormal basis that spans the same subspace.

In order to perform the Gram-Schmidt process, we need to follow the following steps:

Let's say we have a set of vectors {v1, v2, v3, ..., vn}. For simplicity, we will use two vectors, u and v, to demonstrate the Gram-Schmidt process. Subtracting the projection of v onto u from v gives us a vector v' that is orthogonal to u. Normalize v' by dividing it by its length. This gives us a new vector that is orthonormal to u and v. Let's call this new vector w. Repeat this process with any additional vectors in the set.  

For example, given the vectors u and v, we can compute a vector w that is orthonormal to both u and v as follows:

\(Let v' = v - proj_u(v) = v - (v · u) / (u · u) u\)

The projection of v onto u is v · u / u · u, which gives us:

\(v' = v - (v · u) / (u · u) u= v - ((4 + 1) / (1 + 1)) u= v - 2u= (-1, 3) - 2(1, 1)= (-3, 1)\)

Normalize w by dividing it by its length:

\(|w| = sqrt((-3)^2 + 1^2) = sqrt(10)w = (-3 / sqrt(10), 1 / sqrt(10))\)

The Gram-Schmidt process has transformed the set {u, v} into an orthonormal set {u, w} that spans the same subspace as the original set. We can then use this orthonormal set to perform the QR factorization of a matrix.

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The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

Sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

Step-by-step explanation:

A). Usual price of a sweat shirt is = $18

Sale price of the sweat-shirt is 85% of the usual price.

Therefore, Sale price = 85% of $18

=

= $15.30

B). Usual price of a soccer ball is = $24.80

Sale price of the soccer ball is 85% of its usual price.

Therefore, Sale price = 85% of $24.80

=

= $21.08

Therefore, sale price of a sweat shirt is $15.30 and a soccer ball is $21.08.

heres the real answer hope it helps :)

Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

-3x/-3 = 36/-3

x = -12