Will mark as brainliest!!

Lorenz wants to build a bigger flower box for his home. The current box has dimensions of 18“ x 12“ x 36“. What happens to the volume of the box if you double each dimension

Answer:

He should have divided 4 by  [tex]\frac{1}{2}[/tex]:

[tex]shifts=\frac{4}{\frac{1}{2}}\\\\shifts=8[/tex]

Step-by-step explanation:

You know that the students work [tex]\frac{1}{2}[/tex]-hour shifts at the charity event and Zack worked in the event for four hours.

Then, to calculate the number of shifts he worked, he should not have divided [tex]\frac{1}{2}[/tex] by 4. He should have divided 4 by  [tex]\frac{1}{2}[/tex].

Let's make the correct procedure to calculate the number of shifts Zack worked  at the charity event. This is:

[tex]shifts=\frac{4}{\frac{1}{2}}\\\\shifts=8[/tex]

Therefore, he worked 8 shifts.

To calculate the number of shifts Zack worked, we need to follow these steps:
1. Determine the length of one shift. According to the information provided, one shift lasts 1/2 hour.
2. Determine the total amount of time Zack volunteered. Zack volunteered for 4 hours.
3. To find out the total number of shifts Zack worked, we need to divide the total number of hours he volunteered by the length of one shift.
So, we take the total volunteer time (4 hours) and divide it by the shift length (1/2 hour):
\[ \text{Number of shifts} = \frac{\text{Total volunteer time}}{\text{Shift length}} \]
\[ \text{Number of shifts} = \frac{4}{1/2} \]
Now, when dividing by a fraction, you can multiply by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2.
\[ \text{Number of shifts} = 4 \times 2 \]
\[ \text{Number of shifts} = 8 \]
So Zack should have determined that he worked 8 shifts in total during his volunteer time.

Answer:

Your numbers are +7, -9, and 25

Step-by-step explanation:

Reverse the values of -7 and +9

Then you get +7 and -9

And also take radius squared which is 25

So, [tex](x--7)^{2} +(y-9)^{2}  = 25[/tex]

Here is the set up:

We know the given dimensions are increased by the same number.

Let x be that number.

The garden is a rectangle.

Area = length times width.

5m = 5 meters

12m = 12 meters

Area is 120 meters^2.

Here is your equation:

120 = (5 + x)(12 + x)

Take it from here.

Answer:

D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

Step-by-step explanation:

The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event [tex]A[/tex], and its complement event [tex]\overline{A}[/tex] always

[tex]Pr(A)+Pr(\overline{A})=1.[/tex]

If [tex]Pr(A)=0.55,[/tex] then

[tex]0.55+Pr(\overline{A})=1\\ \\Pr(\overline{A})=1-0.55=0.45.[/tex]

Event [tex]A[/tex] - the Seahawks will defeat the Raiders

Event [tex]\overline{A}[/tex] - the Seahawks will not defeat the Raiders

Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

The complement of the probability of the Seahawks defeating the Raiders is 0.45, this represents the probability of the Seahawks not defeating the Raiders.

In probability theory, a complement refers to the opposite event of whatever has been defined. If the probability of a certain event, in this case the 'Seahawks defeating the Raiders', is given as 0.55, then the complement of that event, 'the Seahawks not defeating the Raiders', is calculated by subtracting the given probability from 1. Hence, the probability of the Seahawks not defeating the Raiders is 1 - 0.55, which equals 0.45.

Thus, the correct answer is '0.45; the probability that the Seahawks will not defeat the Raiders'.

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ANSWER

y varies inversely as x exponent 4.

EXPLANATION

The inverse variation equation is given as:

[tex]y = \frac{1}{ {x}^{4} } [/tex]

We can see that there is an inverse relation between the quantity y and x.

If the it were [tex]y = \frac{1}{ {x}^2 } [/tex], we say y varies inversely as the square of x.

Hence for the given relation,the precise definition is that, y varies inversely as x exponent 4.

Answer:

d. x^4

Step-by-step explanation:

Just got it right

ANSWER

A.

EXPLANATION

The parent function is

[tex]f(x) = \sqrt[3]{x} [/tex]

This function is transformed to obtain

[tex]g(x) = \sqrt[3]{x + 2} - 4[/tex]

The +2 is a horizontal translation, that shifts the graph of the parent function to the left by 2 units.

The -4 is a vertical translation, that shifts the graph of the parent function down by 4 units.

The correct option is A.

Answer:

A)

Step-by-step explanation:

First we will graph th parent function which is a cube root and we can see it in the attachment #1.

In this excercise there are two types of transformations of the parent function:

[tex]f(x)=\sqrt[3]{x}[/tex]

First:

[tex]f(x+b)[/tex] shifts the function b units to the left.(Attachment #2 )

[tex]f(x)=\sqrt[3]{x+2}[/tex]

[tex]b=2[/tex]

Second:

[tex]f(x)-c[/tex] shifts the function c units downward. (Attachment #3)

[tex]f(x)=\sqrt[3]{x+2}+4[/tex]

[tex]c=4[/tex]

Answer:

x = 5/16

Step-by-step explanation:

"Solving this equation" means determining the x value that makes the equation true.  Since it's a linear equation, there can be only one solution.

Starting with 32x – 1 = 16x + 4, subtract 16x from both sides, obtaining:

16x - 1 = 4

and then add 1 to both sides, obtaining 16x = 5.  Then x = 5/16.

Answer:

B. The lines have the same slope, but different intercepts.

Step-by-step explanation:

The solution of a system of linear equations doesn't exist if the lines do not intersect each other at any point. So if there is no solution that means the lines of both equations will not intersect.

Lets look at the options one by one.

For option A:

If the lines are perpendicular, they might intersect at any point so this is not the correct option.

For Option B:

If the lines have same slop and different intercepts that means the lines are parallel. We know that parallel lines never cross each other so option B is the correct answer.

For Option C:

The lines with same intercept and different might also intersect so option C is not correct.

For Option D:

The lines being on top of each other means that the lines intersect on all points. So option D is also not correct.

Answer:

A 65.5%

Step-by-step explanation:

Percent decrease = (original - new)/ original * 100 percent

                              = (290-100)/290 * 100 %

                              = 190/290* 100%

                              =.655172414 * 100%

                               =65.5172414%

To the nearest tenth percent %

                                65.5%

Answer:

[tex]\large\boxed{h=\dfrac{F}{7g}}[/tex]

Step-by-step explanation:

[tex]F=7gh\to7gh=F\qquad\text{divide both sides by}\ 7g\neq0\\\\\dfrac{7gh}{7g}=\dfrac{F}{7g}\\\\h=\dfrac{F}{7g}[/tex]

The formula for the variable h is F/7g.

A variable is an alphabet or term that represents an unknown number of unknown value or unknown quantity.

The given equation is;

F=7gh

The formula for the variable h is determined in the following steps given below.

[tex]\rm F=7gh\\\\ h =\dfrac{F}{7g}[/tex]

Hence, the formula for the variable h is F/7g.

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When two four-sided dice are tossed, the combined outcome ranges from 2 to 8. The probability for each outcome can be calculated by counting the number of combinations that sum to that outcome and dividing by the total number of possible outcomes (16). For example, there's one way to get a sum of 2 (1+1), so the probability is 1/16.

The subject of this question is probability, particularly, the sums of outcomes when tossing two fair four-sided dice (or tetrahedrons). Each dice has sides 1, 2, 3, and 4. When these dice are tossed together, the combined outcome is anywhere between the minimum value 2 (1 from each dice) to the maximum value 8 (4 from each dice).

The probability of each combined outcome can be calculated based on the total possible different outcomes (4 outcomes from each die, 4 * 4 = 16 total possibilities). To determine the probability for each combined outcome, we'd need to count the number of ways to get that particular sum:

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Answer:

the multiplicative inverse or reciprocal.

Step-by-step explanation:

Answer:

Final answer is approx -0.07.

Step-by-step explanation:

We have been given a picture of the triangle whose sides are 7, 8 and 11.

Apply cosine formula to find the value of [tex]\cos\left(\theta\right)[/tex].

[tex]a^2=b^2+c^2-2\cdot b\cdot c\cdot\cos\left(a\right)[/tex]

[tex]11^2=7^2+8^2-2\cdot 7\cdot 8\cdot\cos\left(\theta\right)[/tex]

[tex]121=49+64-112\cdot\cos\left(\theta\right)[/tex]

[tex]121=113-112\cdot\cos\left(\theta\right)[/tex]

[tex]121-113=-112\cdot\cos\left(\theta\right)[/tex]

[tex]8=-112\cdot\cos\left(\theta\right)[/tex]

[tex]\frac{8}{-112}=\cos\left(\theta\right)[/tex]

[tex]-0.0714285714286=\cos\left(\theta\right)[/tex]

Hence final answer is approx -0.07.

The answer is C. -0.07.

[tex]\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-4}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{8+4}{2}~~,~~\cfrac{-4-6}{2} \right)\implies (6,-5) \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{7})\qquad \stackrel{\textit{the midpoint}}{(\stackrel{x_2}{6}~,~\stackrel{y_2}{-5})}[/tex]

[tex]\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-5-7}{6-(-6)}\implies \cfrac{-12}{6+6}\implies \cfrac{-12}{12}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-7=-1[x-(-6)]\implies y-7=-1(x+6) \\\\\\ y-7=-x-6\implies y=-x+1[/tex]

Answer:

Yes.

Step-by-step explanation:

If you graph it you can see that they all the points match up to the perfect right triangle. You may have to rotate it to see it though. Point Z is the angle of the triangle that is the corner of the 90 degree triangle.

Check the picture below.

so the hyperbola looks more or less like so, is a hyperbola with a vertical traverse axis, with a = 4 and h = 0, k = 0.

[tex]\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\bf \stackrel{\textit{the asymptotes are}}{\pm\cfrac{2}{3}x}\implies \pm\cfrac{2}{3}x=k\pm \cfrac{a}{b}(x- h)~~ \begin{cases} h=0\\ k=0\\ a=4 \end{cases} \\\\\\ +\cfrac{2}{3}x=0+\cfrac{4}{b}(x-0)\implies \cfrac{2x}{3}=\cfrac{4x}{b}\implies 2bx=12x \\\\\\ b=\cfrac{12x}{2x}\implies b=6 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{6^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{36}=1[/tex]

Final answer:

The standard form for the hyperbola with vertices at (0, ±4) and asymptotes at y = ±2/3x is \(\frac{y^2}{16} - \frac{9x^2}{64} = 1\).

Explanation:

Finding the Standard Form Equation of a Hyperbola

The student has asked for the standard form of a hyperbola given certain characteristics such as vertices and asymptotes.

The vertices at (0, ±4) indicate that this is a hyperbola centered at the origin with its major axis along the y-axis, while the asymptotes given by y = ±2/3x help determine the relationship between the semi-major axis a and semi-minor axis b.

General Structure of a Hyperbola

For a hyperbola centered at the origin with a vertical transverse axis, the standard form is:

[tex]\(rac{y^2}{a^2} - \frac{x^2}{b^2} = 1\)[/tex]

Given that the asymptotes have slopes of ±2/3, the relationship between a and b is b/a = 2/3. Since the vertices are at (0, ±4), a = 4. Solving for b gives us b = (2/3) × 4 = 8/3.

Standard Form Equation

The standard form equation of the hyperbola is therefore:

[tex]\(rac{y^2}{16} - \frac{x^2}{(8/3)^2} = 1\)Or simplified:\(rac{y^2}{16} - \frac{9x^2}{64} = 1\)[/tex]

Answer:

The correct answer is: d=9m

Step-by-step explanation:

Ok, the ladders leaned against a building make two right triangles with same the same height, which we will call h. For the 20m ladder, its leg is (7+d) and for the 15m ladder, its leg is d, and the two hypotenuses are 20 and 15 respectively.

Then, using the Pythagorean Theorem we have:  

20m ladder:

20^2 = h^2 + (d+7)^2    (Eq. 1)

400 = h^2 + d^2 + 2*7*d + 7^2  (expanding the theorem)

400 = (h^2 + d^2) + 14*d + 49   (Eq. 2)

15m ladder:

 15^2 = h^2 + (d)^2         (Eq. 3)

Since h^2 + (d)^2 is equal to 15^2, we can substitute (2) into (3):

400 = (15^2) + 14*d + 49

400 = 225 + 14*d + 49

14*d = 400 - 225 - 49  (clearing the variable d)

14*d = 126

d = 9 m

And since we now know that d is equal to 9m. For the longer ladder is (d+7)=(9+7)=16m.

And, then the shorter ladder is 9m from the building and the longer ladder is 16m from the building

Answer:

True

Step-by-step explanation:

The formula for the circumference of a circle is:

C=2πr

So we can substitute in the numbers we have:

Radius=4, so:

C=8π (we multiplied the radius by 2)

So the statement is true.

Hope I... yeah you get it y now I've been answering your questions a lot.

I'm still gonna copyright it.

Copyright Potato 2019.

Answer:

True

Step-by-step explanation:

The circumference (C) of a circle is

C = 2πr ← r is the radius

For C = 8π, then

2πr = 8π ( divide both sides by 2π )

r = 8π ÷ 2π = 4

Hence the radius must be 4

Answer:

1.   Absolute value :  d.  | - 7| = 7

2.  All real numbers :  b.  3x = 3x

3.  x = -5  : c.  5x = -25

4.  No solution : a.  |2x| = -10

5.  Adding the opposite to both sides of the equation. : e.  Canceling

Step-by-step explanation:

1.   Absolute value :  d.  | - 7| = 7

The absolute value is considered the distance to 0... so if there's a negative sign in the value, the negative sign disappears.

2.  All real numbers :  b.  3x = 3x

If we divide both sides by 3, we have x = x, which will always be true.

3.  x = -5  : c.  5x = -25

If we multiply each side by 5, we have 5(x) = 5(-5) thus 5x = -25

4.  No solution : a.  |2x| = -10

The result of an absolute value cannot be a negative number.  So, that has no solution since there's no value of x that would make this true.

5.  Adding the opposite to both sides of the equation. : e.  Canceling

If you have for example (x = -5) and you add 5 on both sides, you cancel the value on the right side... (becomes x + 5 = 0).

Answer:

(6, 4)

Step-by-step explanation:

step 1

we have

The vertex T (8,6)

First transformation

The rule of the dilation is

(x, y) → → (2x, 2y)

so

(8, 6) → → (16, 12)

step 2

Second transformation

The rule of the translation is

(x, y) → → (x - 10, y - 8)

so

(16, 12) → → (16 - 10, 12 - 8) → → (6, 4)

Answer:

Price of sweatshirt = $24

Price of t-shirt=$8

Price of shorts= $12

Step-by-step explanation:

Let

w be the price of one sweat shirt

t be the price of t-shirt

h be the price of shorts

The first statement is:  

The price of a sweatshirt at a local shop is twice the price of a pair of shorts.

w=2h     Eqn 1

Then,

The price of a T-shirt at the shop is $4 less than the price of a pair of shorts.  

t=h-4    Eqn 2

And

Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for a total cost of $136.

3w+2h+5t=136   Eqn 3

Putting the value of w and t in equation 3

3w+2h+5t=136

3(2h)+2h+5(h-4)=136

6h+2h+5h-20=136

13h=136+20

h=156/13

h=12

So the price of pair of shorts is $12.

Putting the value of h in equation 1

w=2(12)

w=24

Price of sweatshirt is: $24

Putting the value of h in eqn 2:

t=12-4

t=8

Price of T-shirt is $8 ..  

subtract 17, not 22, from both sides. 17 – 17 = 0 and 22 – 17 = 5. The answer should be x = 5.

Step-by-step explanation:

An equation between two variables that gives a straight line when plotted on a graph.

Lester made mistake in first steps he subtract 22 from the equation.

The correct solution of the equation is x =5.

Lester was solving an equation but he made a mistake.

The given equation is;

[tex]\rm x + 17 = 22[/tex]

An equation between two variables that gives a straight line when plotted on a graph.

The equation represents the linear equation and to solve the equation following all the steps given below.

Then,

The correct way to solve the equation is,

[tex]\rm x + 17 = 22\\\\x+17-17 = 22-17\\\\x +0=5\\\\x=5[/tex]

Hence, the correct solution of the equation is x =5.

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Answer:

[tex]\frac{\sqrt{51} }{10}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1 ⇒ cosx = ± [tex]\sqrt{1-sin^2x}[/tex], hence

cosΘ = [tex]\sqrt{1-(7/10)^2}[/tex]

        = [tex]\sqrt{1-\frac{49}{100} }[/tex]

        = [tex]\sqrt{\frac{51}{100} }[/tex]

        = [tex]\frac{\sqrt{51} }{\sqrt{100} }[/tex] = [tex]\frac{\sqrt{51} }{10}[/tex]

Slope intercept formula: y = mx + b where m equals slope and b equals the y-intercept.

Answer: y = -6x + 3

Final answer:

The equation in slope-intercept form for a line with y-intercept 3 and slope -6 is y = -6x + 3, showing a line decreasing by 6 units in y for each unit increase in x.

Explanation:

To write an equation in slope-intercept form, which is y = mx + b, we need to know the slope (m) and the y-intercept (b). In this case, we have a y-intercept of 3 and a slope of -6. Plugging these values into the slope-intercept form, we get the equation of the line:

y = -6x + 3

This equation tells us that the line crosses the y-axis at (0, 3) and for each unit increase in x, the value of y decreases by 6 units, since the slope is negative. This is a direct application of the algebra of straight lines and the concepts of slope and y-intercept.

Answer:

angle x will be 17

Step-by-step explanation:

ATP,

3x+4=72–x

3x+x=72–4

4x=68

x=68/4

x=17

Answer:

x = 17

Step-by-step explanation:

Since triangles are similar then corresponding angles are congruent.

∠I and ∠ P are corresponding and congruent, hence

3x + 4 = 72 - x ( add x to both sides )

4x + 4 = 72 ( subtract 4 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Answer:

(x, y) → (−x, y)(x, y)

Step-by-step explanation:

To do a transformation over the Y-axis, you just have to change the sign on the x in order to create a matching point on the other side of the Y axis, for example if you wish to make a reflection of the point (8,9), the reflection over the Y axis would be (-8,9), the same with X and Y, if you wish to make a reflection of (x,y) you just change the sign of the x like this: (-x,y)

The correct answer is option 1. [tex](x,y) \rightarrow (-x,y)[/tex]

To determine which transformation represents a reflection over the y-axis, we examine the options provided:

A reflection over the y-axis transforms the x-coordinate of a point to its opposite while keeping the y-coordinate unchanged. Therefore, the correct transformation is [tex](x,y) \rightarrow (-x,y)[/tex].

Reflection over the y-axis results in the point (x, y) being mapped to (−x, y). This is because the x-coordinate is negated while the y-coordinate remains the same.

The complete question is:

Which transformation represents a reflection over the y-axis?

1. [tex](x,y) \rightarrow (-x,y)[/tex]

2. [tex](x,y) \rightarrow (x,-y)[/tex]

3. [tex](x,y) \rightarrow (y,x)[/tex]

4. [tex](x,y) \rightarrow (-y,x)[/tex]

15 hours is the answer to this

1.69×5+9.95

Answer:

15 hours.

Step-by-step explanation:

In order to solve this, we just have to create an inequality, for ti to be more convenient for us to work with the first company we shouldn´t be spending more than 19.95 a month, otherwise we would be better off with the second one, so the total would be 19.95, and the base fee is $9.95 for the first ten hours, so X would be the number of extra hours we will use:

[tex]Base+Extra,hours=Budget[/tex]

Now we just insert the values in to the formula:

[tex]10+1.68x=19.95\\[/tex]

We clear X:

[tex]10+1.68x=19.95\\[/tex]

[tex]1.68x=19.95-10\\[/tex]

[tex]1.68x=9.95\\[/tex]

[tex]x=\frac{9.95}{1.69}[/tex]

[tex]x=5.91\\[/tex]

So the as the number of extra hours that we could use without going over the budget is 5.91, and the company wouldn´t charge us the .91, the number of extra hours is 5, plus the base hours, the total number of hours would be 15.

The answer is:

The first option:

[tex]Volumen_{max}=(8-2x)(6-2x)*x[/tex]

From the statement, we know the dimensions of the box, and the length of the sides to be cut (x).

So,

Working with the length of the box, we have:

Let be 8 the length of the cardboard for the length of the box, so, if we cut out the side of length "x", we have:

[tex]Length=(8-(x+x))=(8-2x)[/tex]

Now,

Working with the width of the box, we have:

Let be 6 the length of the cardboard for the width of the box, so, if we cut out the side of length "x", we have:

[tex]Length=(6-(x+x))=(6-2x)[/tex]

Now that we already know the length and the width of the box, we know that the bottom of the box will have the same length "x", so, the greatest possible volume of the cardboard box will be:

[tex]Volumen_{max}=Length*Width*Bottom=(8-2x)(6-2x)*x[/tex]

Have a nice day!

Answer:

The answer is 31.5

Step-by-step explanation:

Similar triangles have their corresponding sides to be in equivalent ratios

The length of PR is 31.5 inches

△WKT∼△NRP  means that, the following sides are similar

So, we have the following equivalent ratio

[tex]WK : TK = NR : PR[/tex]

From the complete question, we have the following parameters:

So, the ratio becomes

[tex]14 : 18 = 24.5 : PR[/tex]

Express the ratio as fraction

[tex]\frac{18}{14}= \frac{PR}{24.5 }[/tex]

Multiply both sides by 24.5

[tex]\frac{18}{14} \times 24.5= PR[/tex]

This gives

[tex]\frac{441}{14} = PR[/tex]

Divide 441 by 14

[tex]31.5 = PR[/tex]

Rewrite the above equation as

[tex]PR = 31.5[/tex]

Hence, the length of PR is 31.5 inches

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Answer:

7

Step-by-step explanation:

3x - 6 = 15

+6 +6

____________

3x = 21

3x = 21/3

x = 7

The value of x that satisfies the equation 3x - 6 = 15 is x = 7. This was calculated by isolating x and solving the equation.

The equation provided is 3x - 6 = 15, and the value for x that satisfies this equation is what we are looking for. To solve for x, we can start by adding 6 to both sides of the equation to isolate 3x on one side which results in 3x = 21. Finally, we divide each side by 3 to find the solution which gives us x = 7. Therefore, the solution to the equation 3x - 6 = 15 is x = 7

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