If you answer this thanksssssss

Answer:

x>-3

Step-by-step explanation:

3x+6>x - move the terms

3x-x>-6 collect like terms

2x>-6 divide both sides

Answer:

3 in by 4 in

Step-by-step explanation:

The blueprint scale is 1 in : 6 ft

This means

1 in : 72 in

1 : 72

For the living room

18 ft by 24 ft can be written as : 18/6 by 24/6

3 in by 4 in -------- units in inches where 1 in : 6 ft

Answer:

The answer is 18 x 24

Step-by-step explanation:

The general solution of the logistic equation is y = 14 / [1 - C · tⁿ], where a = - 14² / 3 and C is an integration constant. The particular solution for y(0) = 10 is y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

Herein we have a kind of ordinary differential equation with separable variables, that is, that variables t and y can be separated at each side of the expression prior solving the expression:

dy / dt = 3 · y · (1 - y / 14)

dy / [3 · y · (1 - y / 14)] = dt

dy / [- (3  / 14) · y · (y - 14)] = dt

By partial fractions we find the following expression:

- (1 / 14) ∫ dy / y + (1 / 14) ∫ dy / (y - 14) = - (14 / 3) ∫ dt

- (1 / 14) · ln |y| + (1 / 14) · ln |y - 14| = - (14 / 3) · ln |t| + C, where C is the integration constant.

y = 14 / [1 - C · tⁿ], where n = - 14² / 3.

If y(0) = 10, then the particular solution is:

y = 14 / [1 - (4 / 10) · tⁿ], where n = - 14² / 3.

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The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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It should be noted a term is one of the two numbers that are in the ratio. An example is that in the "ratio of a to b" a is the first term and b is the second term.

It should be noted that it's important to understand ratio and use ratio language to describe the relationship between two quantities.

For example, it van be stated that the ratio of wings to beaks in the bird house at the zoo is 2:1, this implies that b for every 2 wings there is 1 beak.

Therefore, it should be noted a term is one of the two numbers that are in the ratio. An example is that in the "ratio of a to b" a is the first term and b is the second term.

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Answer:

Kevin is at (3, 14) or the Basketball court.

Step-by-step explanation:

14 - 11 = 3 & 5 + 9 = 14

good luck, i hope this helps :)

Answer:

Step-by-step explanation:

The volume of a cube is given by the formula V = s^3, where s is the length of one side of the cube.

In this case, the side of the cube is measured as 11.4 cm with a possible error of ± 0.04 cm. Therefore, the minimum possible value of the side length is 11.36 cm (11.4 cm - 0.04 cm) and the maximum possible value of the side length is 11.44 cm (11.4 cm + 0.04 cm).

Using these values, we can calculate the minimum and maximum possible volumes of the cube:

Minimum volume = (11.36 cm)^3 = 1496.647 cm^3

Maximum volume = (11.44 cm)^3 = 1525.335 cm^3

The possible error in the volume of the cube is the difference between the maximum and minimum volumes:

Maximum volume - Minimum volume = 1525.335 cm^3 - 1496.647 cm^3 = 28.688 cm^3

Therefore, the estimate for the possible error in the value of the volume of the cube is 28.688 cubic cm.

(a) Randomized experiment, (b) There are three criteria for a randomized experiment

a) This is a randomized experiment.

b) The three criteria for a randomized experiment are:

Random assignment, the children were randomly assigned to the xylitol or placebo group.

Control group, a placebo group was used as a control.

Manipulation, the children were given different forms and doses of xylitol or placebo.

c) The explanatory variable is the form and dose of xylitol or placebo given to the children. The response variable is the incidence of ear infections.

d) Diagram of the randomized comparative experiment:

Population of healthy children in daycare centers

↓

Random assignment to xylitol or placebo group

↓

Intervention group: given xylitol in syrup, gum or lozenge form

Control group: given a placebo in gum, syrup or lozenge form

↓

Comparison of incidence of ear infections in intervention and control groups

↓

Analysis of results to determine the effectiveness of xylitol in reducing ear infections.

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Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

\(~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)\)

\(\qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases}\)

\(A=4500\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1 \cdot 10}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=4500\left[ \cfrac{(1.04)^{10}-1}{0.04} \right](1.04) \implies A \approx 56188.58\)

so every year you were putting in 4500 bucks, so for 10 years that'd be a total deposits for 4500*10 = 45000, so let's squeeze out the 45000 from the the total, that gives us 56188.58 - 45000 ≈ 11188.58.

so, if we take 56188.58 to be the 100%, what's 11188.58 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 56188.58 & 100\\ 11188.58& x \end{array} \implies \cfrac{56188.58}{11188.58}~~=~~\cfrac{100}{x} \implies 56188.58x=1118858 \\\\\\ x=\cfrac{1118858}{56188.58}\implies x\approx \stackrel{\%}{19.91}\)

9514 1404 393

Answer:

  (x, y) = (452.5, -986)

Step-by-step explanation:

Dividing the first equation by 300 gives the standard form equation ...

  12x +5y = 500

Dividing the second equation by 180 gives the standard form equation ...

  22x +10y = 95

Subtracting the second of these equations from twice the first gives ...

  2(12x +5y) -(22x +10y) = 2(500) -(95)

  2x = 905 . . . . . simplify

  x = 452.5 . . . . .divide by 2

The second equation tells us ...

  y = (95 -22x)/10 = (95 -9955)/10 = -9860/10 = -986

The solution is (x, y) = (452.5, -986).

A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Answer:30 divided by 5 = 6

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

6 = 30/x

multiply both sides by x

6x = 30

divide both sides by 6

x = 30/6 = 5

Answer:

The number of oxygen atoms on the reactant side of the equation is 26.

Step-by-step explanation:

The equation is:

2K₃PO₄(aq) + 3Pb(NO₃)₂(aq) → 6KNO₃(aq) + Pb₃(PO₄)₂(s)

We can see that the reaction is balanced, that is to say, the number of atoms of the reactants is equal to the number of atoms of the products.

Now, we can count the number of oxygen atoms on the reactant side by multiplying the coefficients of K₃PO₄ and Pb(NO₃)₂ by the number of oxygen atoms as follows:        

\( O_{r} = 2*4 + 3*(3*2) = 26 \)        

This is equal to the number of oxygen atoms of the products side:

\( O_{p} = 6*3 + 1*(4*2) = 26 \)        

Therefore, the number of oxygen atoms on the reactant side of the equation is 26.

I hope it helps you!

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

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Answer:

Step-by-step explanation:

equation perpendicular to y = 6x + 3 is y = (-1/6)x + k

the line passes through (-6,4)

putting the value we get, 4 = 1 + k

                                           k = 3

So equation is y = (-1/6)x + 3

The graph of the equation 3x + 4y = 0 is a straight line with a negative slope passing through the origin.

The given equation, 3x + 4y = 0, represents a linear graph in the Cartesian coordinate system. Let's analyze its characteristics.

First, note that the equation is in the standard form for a linear equation, which is Ax + By = C, where A, B, and C are constants. In this case, A = 3, B = 4, and C = 0.

To graph this equation, we can rewrite it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. By isolating y, we have y = (-3/4)x + 0. Since the y-intercept (b) is 0, the line intersects the y-axis at the origin (0,0).

Next, we can examine the slope. The coefficient of x, -3/4, represents the ratio of the change in y (vertical) to the change in x (horizontal) as we move along the line. In this case, the slope is negative, indicating that the line descends from left to right. The magnitude of the slope, 3/4, implies that for every 4 units moved horizontally to the right, the line goes 3 units down vertically.

Therefore, we can conclude that the graph of the equation 3x + 4y = 0 is a straight line passing through the origin (0,0) with a negative slope. It extends indefinitely in both directions, with the line getting steeper as we move to the right.

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Answer:

50.41 minus 1.71 is 48.70 divided by 5 is 9.74

Answer:

D.

Step-by-step explanation:

Given: Dimensions of a rectangular prism are \(7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches\)

To find: total surface area of the rectangular prism in square inches

Solution:

Length of the rectangular prism (l) = 7.5 inches

Breadth of the rectangular prism (b) = 3 inches

Height of the rectangular prism (h) = 11.5 inches

Total surface area of the rectangular prism = 2(lb+bh+hl)

= \(2(7.5\times3+3\times11.5+11.5\times7.5 )\)

\(2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches\)

So, option D is correct

Answer:

D! I got it correcttt

Step-by-step explanation:

Answer:

k=44

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Rose age = 3(x-6) = 15

Rose's brothers age = x

3(x-6) = 15

3x - 18 = 15

3x = 15+18

x = 33/3 =11

Rose's brothers age = x =11

I hope im rght!!i

Answer:

11 years old

Step-by-step explanation:

Create an equation where x is her brother's age

15 = 3(x - 6)

Solve for x:

15 = 3x - 18

33 = 3x

11 = x

So, her brother is 11 years old

Answer:

(5x - 1) and (x - 3)

Step-by-step explanation:

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

So let's take a look into the question, "Mrs. Grudman bought a dishwasher at a special sale. The dishwasher regularly sold for

$912. No down payment was required. Mrs. Grudman has to pay $160 for the next six months. What is the average amount she pays in interest each month?"

Step-by-step explanation:

So, " Mrs. Grudman has to pay $160 for the next six months" they want us to multiply, $160

              x

                    6

              _______

                  960

So, 960 is your answer. Hope this helps!    

The average amount she pays in interest each month will be $8.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The dishwasher regularly sold for $912.

No down payment was required.

Mrs. Grudman has to pay $160 for the next six months.

Now,

The total amount pay by Mrs. Grudman = 6 x $160

                                                             = $960

Thus, The average amount she pays in interest each month is;

= (960 - 912) / 6

= $8

Thus, The average amount she pays in interest each month will be $8.

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The x intercept of the defined line is x = -4

The equation of the line is given as

y = 1/2x + 2

At the x intercept of the defined line, the value of y is 0

i.e. y = 0

So, we have

1/2x + 2 = 0

Subtract 2 from both sides of the equation

So, we have

1/2x = -2

Multiply through the equation by 2

So, we have

x = -4

Hence. the x intercept of the defined line is x = -4

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Answer:

Step-by-step explanation:

Let's calculate the expression step by step:

93 - (15 × 10) + (160 ÷ 16)

First, we perform the multiplication:

93 - 150 + (160 ÷ 16)

Next, we perform the division:

93 - 150 + 10

Finally, we perform the subtraction and addition:

-57 + 10

The result is:

-47

Therefore, 93 - (15 × 10) + (160 ÷ 16) equals -47.