Which point is on the graph of f(x) = 3 • 5x?

Divide by 5 both sides

3^x=60/5

3^x=12

Apply log both sides

log(3^x)=log(12)

xlog(3)=log(12)

x=log(12)/log(3)

using a calculator

Answer:

Step-by-step explanation:

given:

the scale from a square park to a drawing of the park is 5 m to 1 cm

the actual park has an area of 1,600 m²

find:

what is the area of the drawing of the park​

solution:

drawing scale is 5m : 1cm

1,600 m² =      5² m²      

   x                  1² cm²

cross multiply:

5² m² x = 1600 m² (1 cm²)

x = 1600 m²

      5² m²

x = 64 cm²

therefore, the area of a square park in the drawing is 64 cm²

The area of a square park in the drawing is 64 cm².

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

The area of a square is equal to the squared of sides or the multiplication of two sides.

Given that the scale from a square park to a drawing of the park is 5 m to 1 cm.

The area of the actual park is 1,600 m²

To determine the area of the drawing of the park​

Since 5 meters to 1 centimeter is the scale from a square park to a drawing of the park.

So the drawing scale is 5m : 1cm

Let the area of the drawing of the park​ is A

Since the area of a square is equal to the squared of sides or the multiplication of two sides.

So 1600m²/A = 5²m² / 1² cm²    

Cross multiplication in the terms

⇒ 5² m² A = 1600 m²*cm²    

⇒ A = 1600m²*cm²/ 5² m²

⇒ A = 64 cm²

Hence, the area of a square park in the drawing is 64 cm²

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Response bias results from the possibility that not all sophomore students provided accurate information about their drug use, which will immediately result in the response bias because of false data.

Response bias is a catch-all phrase for a variety of inclinations for participants to give misleading or inaccurate answers to queries. These biases are common in studies involving participant self-report, such as structured interviews or surveys. The validity of questionnaires or surveys can be significantly impacted by response biases.

The idea that human subjects do not passively respond to stimuli but rather actively integrate several sources of information to develop a response in a specific scenario is central to the concept that response bias can be induced or caused by a variety of causes. As a result, practically every element of an experimental condition has the ability to sway a respondent.

Explanation:

The remedy is to conduct a survey by licensed social workers since licensed social workers didn't explicitly ask sophomore students about drug use; instead, they interacted with the students as their friends before gathering the data.

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The degrees on a triangle add up to 180.

(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.

x + x-7 + 3x + 12 = 180

5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5

5x = 175 ; Subtract 5 from 180

x = 35 ; 175/5 = 35

P: x - 7 = 35 - 7 = 28

Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117

R: x = 35

Q ≠ ΣEj, and the statement is not true.

No, it is not true that Q = ΣEj. Here's why:

In the given expression, Ej = (Xi − 2¹+j, X₁ + 21¹), where j is a constant and Q = {x₁, x₂, ...} is a set of values.

When we write ΣEj, it represents the summation of Ej over a specific range of j values. However, in this case, we have Ej defined as a function of Xi, which is not related to the index j.

So, ΣEj would not make sense in this context since there is no summation or pattern involving Ej and j.

Additionally, it is important to note that Q = {x₁, x₂, ...} is a set of values, whereas ΣEj represents the sum of Ej terms.

Therefore, Q ≠ ΣEj, and the statement is not true.

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Using proportions, it is found that the rate of water flow was of 6 miles per hour.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the bottle flowed 1 mile in 10 minutes. How much does it flow in 1 hour = 60 minutes? The rule of three is given by:

1 mile - 10 minutes

x miles - 60 minutes

Applying cross multiplication:

10x = 60

x = 60/10

x = 6.

Hence, the rate of water flow was of 6 miles per hour.

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Step-by-step explanation:

As we know

we have slant height is equal to 26 inch diameter is equal to 48 inch ,radius is equal to diameter by 2 is equal to 24

by using Pythagoras Theorem we can find the height and height is equal to 10 inches and we can find volume and the formula volume is equal to

1 by 3 Pi R square× height

and by putting the values we can get 251.42-inch cube

Answer:

The Answer Is 382...

Step-by-step explanation:

The Solution:

Given:

General admission = $3.00

Reserved seat = $3.50

Required:

Find the number of general admission tickets sold and that of the reserved seat tickets.

Let the number of general admission tickets = x

And the number of reserved seat tickets = y.

We have the following equations:

Solve simultaneously by the Substitution Method:

Answer:

The number of general admissions is 589 tickets

The number of reserved seats is 253 tickets.

Using the laws of decimal,

a. The decimal equivalent of the given numbers are as follows:

π = 3.14

√6 = 2.44

2√6 = 4.89

√7 = 2.64

b. Ordering these from least to greatest:

2.44, 2.64, 3.14, 4.89

Decimals are a set of numbers on a number line that appear between integers. They only serve as another way to represent fractions mathematically. Decimals give us a more precise way to express measurable quantities like length, weight, distance, money, etc.

Decimal fractions are shown to the right of the decimal point, while integers, commonly known as whole numbers, are shown to the left of the decimal point. If we continue straight from the first place, the next place, which is (1/10)th or tenth place value, is (1/10) times smaller.

As per the question,

a. The decimal equivalent of the given numbers are as follows:

π = 3.14

√6 = 2.44

2√6 = 4.89

√7 = 2.64

b. Ordering these from least to greatest:

2.44, 2.64, 3.14, 4.89

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Answer:

\(x < 44\)

Step-by-step explanation:

We can simplify this inequality by isolating x on one side.

\(-36 + x < 8\).

Let's add 36 to both sides.

\(-36 + 36 + x < 8 +36\\\\x < 44\)

Hope this helped!

Answer:

x<44

Step-by-step explanation:

Add 36 to both sides:

-36    +   x   <    8

+36                 +36

     x  <  44

Answer:

p<-12/5

Step-by-step explanation:

Answer:

Multiply each term in \(-\frac{5}{6}p > 2\) by \(-\frac{6}{5}\) to eliminate the fractions.

Inequality form:

\(p < \frac{-12}{5}\)

Interval Notation:

(-∞, \(-\frac{12}{5}\) )

The second coordinate are ( 7 , 2 )

Given data :

Formula of slope, m = (y2 - y1)/(x2 - x1)

y2 - ( -12 ) / x2 - 2 = -19 / 1

To get -19 / 1

we have to apply suitable no to y2 & x2

7 - (-12) / 3 - 2 = -19 / 1

so, the second coordinate are ( 7 , 2 )

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Answer:

x = +8

x = -8

That's the thing that I only know. Im a seventh grader(turned 13) so I wouldn't know this fully. Ask someone else to get it fully.

Step-by-step explanation:

5x + 6x - 10 + 12 = 90

11x = -88

x = -8

or

x = 8

The measure of angle 7 (m < 7) would be 61°

From the question, we are to determine what the measure of <7 would be

In the given diagram, we can observe that

< 2 = < 6 (Corresponding angles theorem)

From the given information,

< 2 = 119°

∴ < 6 = 119°

Also,

< 6 + < 7 = 180° (Sum of angles on a line segment)

Thus,

119° + < 7 = 180°

< 7 = 180° - 119°

< 7 = 61°

Hence, the measure of angle 7 (m < 7) is 61°

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Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

The solution sets must be in the shaded region of the systems of inequalities. It cannot be on either lines because both lines are dotted. In that case, only B and D work because they are inside the shaded regions while the other points are not.

Answer:

B. (2, 4)

D. (10, -1)

Step-by-step explanation:

To be a solution, a point must be in the shaded part of the graph.

Answer: (2, 4), (10, -1)

The equation of the tangent line to the curve x = 7sin(t), y = t² + t at the point (0, 0) is y = (1/7)x. The slope of the tangent line at (0, 0) is 1/7.

To find the equation of the tangent line, we need to find the derivative of y with respect to x and evaluate it at the point (0,0), which corresponds to t=0. First, we need to eliminate the parameter t by solving the x equation for t in terms of x

x = 7 sin t => t = arcsin(x/7)

Substituting this expression for t into the y equation gives

y = [arcsin(x/7)]² + arcsin(x/7)

To find the derivative of y with respect to x, we use the chain rule and the derivative of arcsin(x/7) which is 1/√(49-x²):

dy/dx = [2arcsin(x/7) + 1] * (1/√(49-x²)) * (1/7)

At the point (0,0), we have x=0, and thus

dy/dx = [2arcsin(0/7) + 1] * (1/√(49-0²)) * (1/7) = 1/7

So the slope of the tangent line at (0,0) is 1/7.

Finally, we use the point-slope form of a line to write the equation of the tangent line

y - 0 = (1/7)(x - 0)

Simplifying

y = (1/7)x

Therefore, the equation of the tangent line to the curve x = 7 sin t, y = t² + t at the point (0,0) is y = (1/7)x.

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Answer:

And 2 is a natural number comes under every category, so correct option is

Equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables.

A linear equation is one that has the form y=mx+b in algebra. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

equations with three variables that are linear. Ax + by + cz = r is referred to as a linear equation in three variables if all four variables—a, b, c, and r—are real values and not equal to 0.

(The x, y, and z are the "three variables"). The coefficients of the equation are designated by the numerals a, b, and c.

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Answer:

Step-by-step explanation:

The number of hours after which the cars will be 350 miles apart is 34 hours.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

Vehicle 1.

Speed = 55.5 mph

Distance(1) = 55.5 x Time

Vehicle 2.

Speed = 45(1/4) mph

Distance(2) = 45(1/4) x Time

The difference in the distance = 350 miles.

Distance(1) - Distance(2) = 350

55.5 x Time - 45(1/4) x Time = 350

55.5 x Time - (181/4) x Time = 350

(55.5 - 181/4) x Time = 350

Time = 350 / (55.5 - 45.25)

Time = 350 / 10.25

Time = 34 hours.

Thus,

The car will be 350 miles apart after 34 hours.

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In decimal form, this is equivalent to 1.25

=============================================

Work Shown:

The given equation 2x^2-10x+13 = 0 matches the form ax^2+bx+c = 0

We see that a = 2, b = -10, c = 13. Plug those values into the quadratic formula to solve for x.

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-10)\pm\sqrt{(-10)^2-4(2)(13)}}{2(2)}\\\\x = \frac{10\pm\sqrt{-4}}{4}\\\\x = \frac{10\pm2i}{4}\\\\x = \frac{2(5\pm i)}{2*2}\\\\x = \frac{5\pm i}{2}\\\\x = \frac{5}{2} \pm \frac{1}{2}i\\\\x = \frac{5}{2} + \frac{1}{2}i \ \text{ or } \ x = \frac{5}{2} - \frac{1}{2}i\\\\\)

The two solutions are in the form \(a \pm bi\) where a = 5/2 and b = 1/2

Therefore a*b = (5/2)*(1/2) = 5/4 = 1.25

Answer:

y = 3/4x + 9/4

Step-by-step explanation:

(1,3) and (-3,0)

to find the slope of the line we use the formula of finding the difference of the y-values over the difference of the x-values

slope ('m') = \(\frac{(3-0)}{(1-(-3))}\)

m = 3/4

now we can use the slope-intercept form of a line to find the y-intercept:

y = mx + b

'x' and 'y' are values from a given point, 'm' is the slope, and 'b' is the y-intercept

3 = 3/4(1) + b

3 - 3/4 = b

2 1/4 = b  Always put slope in a/b form

9/4 = b

Answer:

b. $6,524.96

Step-by-step explanation:

$1,631.24 x 4 equals $ $6,524.96

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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1 1⁄3

Step-by-step explanation:

In order to find how far was she from her destination

We substract 4 2⁄3 from 3 1⁄3

=> 4 2⁄3 - 3 1⁄3

=> 1 1⁄3 (Decimal: 1.333333)

Answer:

1 1/3 miles

Step-by-step explanation:

2-1

4 2/3-3 1/3= 1-----------

3

=1 1/3miles

The value of the expression after evaluating it according to the values of c and d is 42.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Since, no expression is given, let us assume that the expression is

c + d / 4

Now we have to evaluate the value of the expression according to the values of c and d,

For that, we will simply put the given values in the expression and solved it accordingly,

Put c = 36 and d = 24 in the expression we assumed,

c + d / 4 = 36 + 24/4

= 36 + 6 = 42

Hence, the value of the expression after evaluating it according to the values of c and d is 42.

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As given by the question

There are given 45 g of protein per day.

Now,

If 45 g of protein per day, then:

In the 17 days,

Then,

To convert the gram into kilograms, divide the mass value by 1000

So,

Hence, 0.765 kilograms of protein will she eat in 17 days.

Answer:

700%

Step-by-step explanation:

Answer:

1,840 units²

Step-by-step explanation:

AD = BC = 16

If  FE = 23  and  FD ≅ DE  then

⇒ FD = DE = 23 ÷ 2 = 11.5

If DE = 1/10 DC then

⇒ DC = 10 × DE = 10 × 11.5 = 115

Area of rectangle ABCD = AD × DC

                                         = 16 × 115

                                         = 1,840 units²