siobhan wants to build a decoration in the shape of a pyramid. after the original blueprints, she triples the length, doubles the width, and quadruples the height. how many times larger is the volume of the new shape?

Answer:

Step-by-step explanation:

If the number of campers is considered as domain of the function, then the amount of charge is the range of this function

The rate of change is the change in range per change in domain, therefore it can be represented by:

the line isn't vertical because the y coordinate would have to be 0 in order for the line to be vertical

Answer:

y= -(1/2)x+1

Step-by-step explanation:

it is a vertical line so it also passes through (1,0) so slope (m)= -(1/2)

c=1

The discriminant of ggg is negative.

The discriminant is a term used in mathematics to determine the nature of the solutions of a quadratic equation. For a quadratic equation in the form ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac. If the discriminant is negative, it means that the quadratic equation has no real solutions. In the context of ggg, since the discriminant is negative, it indicates that the quadratic equation associated with ggg does not have real solutions. This could imply that ggg is not a quadratic expression or that it represents a quadratic expression with complex solutions.

Learn more about quadratic equation here

brainly.com/question/30098550

#SPJ11

What are the possible values (positive, zero, or negative) for the discriminant of the quadratic equation represented by the function g(x)?

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

Answer:

Population(year x) = 120*(1.09)^x

Step-by-step explanation:

Let x be the number of years from the time the population is 120 (year 0).

Population(year x) = 120*(1.09)^x

The 1.09 represents the growth for 1 year added to the initial population.  E.g., year 1 would have a population of 120*(1.09)^1 or 140.8 (141).  Year 2 would be 120*(1.09)^2 or 142.5 (143).  And so on.

Each new year bilds on the prior year's ending population.  In longhamd, this would be:

Year   Pop.

 0       120   120*(1.09)^0

 1         141   120*(1.09)

 2                120*(1.09)(1.09) or 120*(1.09)^2

 3                120*(1.09)(1.09)(1.09) or 120*(1.09)^3

and so on.

Answer:

slope = -2

Step-by-step explanation:

rise/run: y2-y1/x2-x1 .

=12-18/4-1 = -6/3 = -2

The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.

We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.

If angles QRP and PSQ are supplementary, their sum is 180°:

(2x + 20)° + 30° = 180°

Now, we can solve for x:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide by 2:

x = 65

Answer:

2)  Expand the distribution of terms.

6x+3+2x+6

3)  Collect the like terms.

(6x+2x)+(3+6)

4) simplify.

8x+9

here is your answer. Please like it rate it and mark me as brainly.

Answer:

10+(7×5-4)

10+(35-4)

10+(31)

41

Hello castilloesperanza399!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Evaluate the expression for the given variable

10+(7x-4) when x=5.

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

It's given that,

Our expression is '10 + (7x - 4)'. We already have the value of x, so to solve it we need to substitute the value given in the place of x.

\(10 + (7x - 4) \\ = 10 + (7(5) - 4) \\ = 10 + (35 - 4) \\ = 10 + 31 \\ = \boxed {\boxed{ \bf \: 41}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Using the distance formula, the distance between the given points is

\(d=\sqrt{(5-(-1))^2+(-2-2)^2}\)

\(d=\sqrt{(5+1)^2+(-4)^2}\)

\(d=\sqrt{(6)^2+16}\)

\(d=\sqrt{36+16}\)

On further simplification, we get

\(d=\sqrt{52}\)

\(d=7.2111\)

\(d\approx 7.21\)

Therefore, the the distance between the given points is about 7.21 units.

The equivalent expression of the given expression is (x^3y + 5xy^2)/6

The expression is given as:

(1)/(6)x^(3)y+(5)/(6)xy^(2)

Rewrite properly as

1/6x^3y + 5/6xy^2

Take the LCM

So, we have

(x^3y + 5xy^2)/6

Hence, the equivalent expression of the given expression is (x^3y + 5xy^2)/6

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

Answer:

the fourth answer (<->)

Step-by-step explanation:

"if and only if" (symbolized by "<->" or "iff") is a bidirectional logical relation between statements, where either both statements are true or both are false.

so, you only need to use 1:1 the definition you learned in class.

there is nothing else here.

the symbol of the 4th answer means exactly "if and only if", which is what we are looking for in the problem definition.

so, I am not sure what your problem of understanding this is. this is truly just a matter of definition.

p "if and only if" q

means that p is true only if q is true (there are no other cases to make p true, which might be the case for "p if q", meaning that when q is true then p is true, but p can be true also in other cases). and that means q is true only if p is true.

Answer:

The population of Lake Ronkonkoma is approximately 2 × 10^4 people, and the population of New York City is approximately 8 × 10^6 people. To find out how many times as great the population of New York City is compared to Lake Ronkonkoma, we need to divide the population of New York City by the population of Lake Ronkonkoma:

Population of New York City / Population of Lake Ronkonkoma = (8 × 10^6) / (2 × 10^4)

Simplifying the expression by canceling out the common factor of 10^4, we get:

Population of New York City / Population of Lake Ronkonkoma = (8 × 10^2) / 2

Dividing 8 by 2, we get:

Population of New York City / Population of Lake Ronkonkoma = 4

Therefore, the population of New York City is 4 times as great as the population of Lake Ronkonkoma.

(Please could you kindly mark my answer as brainliest and a follow to my account would be really helpful.)

The approximate diameter of the larger tank is 8.10 meters

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this = 4.07 * 2 = 8.14

For more information about volume of sphere, visit

https://brainly.com/question/10171109

#SPJ4

Answer:

19 the explanation is 19 46

A because the > symbol means greater so if n is on the open side that means its greater

~Shoto Todoroki here~

its option A

i figured this out by trial and error :/

have a good day!

Answer:

A) 5

Step-by-step explanation:

We are given that:

\(x^2+kx+6=(x+n)(x+3)\)

Where k and n are constants.

And we want to find the value of k.

We can expand the right-hand side:

\(\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n\)

Hence:

\(x^2+kx+6=x^2+(n+3)x+3n\)

The coefficients of each term must be equivalent. In other words:

\(k=n+3\text{ and } 6=3n\)

Solve for n:

\(n=2\)

Now, we can solve for k:

\(k=(2)+3=5\)

Our answer is A.

a) The sample space of the given experiment is {(1, 1), (1, 4), (1, 9), (1, 16), (1, 25), (3, 1), (3, 4), (3, 9), (3, 16), (3, 25), (5, 1), (5, 4), (5, 9), (5, 16), (5, 25), (7, 1), (7, 4), (7, 9), (7, 16), (7, 25)}. b) The probability that the "difference of the two dice" is divisible by 3 is 5/12.

We can calculate the probability of the "difference of the two dice" being divisible by 3 using the formula:
P(Difference divisible by 3) = Number of favorable outcomes / Total number of outcomes
Total number of outcomes = 4 × 3

Total number of outcomes = 12 (Multiplying the number of outcomes in each dice)
Favorable outcomes = {(-3, 1), (-1, 4), (1, 1), (3, 4), (5, 1)}
∴ Number of favorable outcomes = 5
P(Difference divisible by 3) = 5/12
c) The probability of the difference being less than zero given that it is divisible by 3
We need to find the pairs (BLUE, RED) such that (BLUE - RED) is divisible by 3 and (BLUE - RED) is less than zero.
Let's find the pairs which satisfy the above condition.
The pairs are: {(-3, 4), (-3, 1), (-1, 1), (-1, 4)}
The probability of the difference being less than zero given that it is divisible by 3 is equal to the number of favorable outcomes divided by the total number of outcomes. That is:
P(Difference < 0 | Divisible by 3) = Number of favorable outcomes / Total number of outcomes
Total number of outcomes = 4 × 3

Total number of outcomes = 12
Favorable outcomes = {(-3, 1), (-3, 4), (-1, 1)}
∴ Number of favorable outcomes = 3
P(Difference < 0 | Divisible by 3) = 3/12
To know more about the probability visit:

https://brainly.com/question/13604758

#SPJ11

You have a specific data point, x, for which you want to calculate the z-value. Substitute the values into the formula to compute the z-value.

To compute the z-value associated with a given data point in a normal distribution, you can use the formula:

z = (x - μ) / σ

where:

z is the z-value

x is the data point

μ is the mean of the population

σ is the standard deviation of the population

In this case, the given information is:

Mean (μ) = 21.0

Standard Deviation (σ) = 6.0

Learn more about compute here:

https://brainly.com/question/32548335

#SPJ11

Answer:

\(\frac{11}{3}\)

Step-by-step explanation:

2\(\frac{1}{5}\) ÷ \(\frac{3}{5}\)

2 1/5 = 11/5

\(\frac{11}{5}\) ÷ \(\frac{3}{5}\) = \(\frac{11}{5}\) · \(\frac{5}{3}\) = \(\frac{55}{15}\) = \(\frac{11}{3}\)

So, the answer is  \(\frac{11}{3}\)

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

For more such questions square,Click on

https://brainly.com/question/27307830

#SPJ8

Answer:

Step-by-step explanation:

The strength of a linear relationship between two variables is typically measured by the correlation coefficient (r) or the coefficient of determination (r^2). A value of r or r^2 closer to 1 indicates a stronger positive linear relationship, whereas a value closer to -1 indicates a stronger negative linear relationship. A value of r or r^2 closer to 0 indicates a weaker or no linear relationship.

Looking at the given regression equations and their correlation coefficients, the regression with the weakest linear relationship between x and y is Regression 3:

Regression 1: y = -5.8x - 6.5, r = -0.7621

Regression 2: y = 2.4x - 14.7, r = 0.809

Regression 3: y = -7.4x - 17.4, r = -0.233

Regression 4: y = -3.4x - 8.5, r = -0.6121

Regression 3 has the lowest absolute value of r (0.233), indicating the weakest or no linear relationship between x and y. Therefore, Regression 3 represents the weakest linear relationship between x and y among the given options.

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

for such more question on vector

https://brainly.com/question/28047791

#SPJ11

m∠B = 10 and m∠Q = 10. Since ΔABC ≅ ΔPQR, the corresponding angles are congruent. Therefore, we can set up the following equation:

m∠B = m∠Q

Given that m∠B = 3v + 4 and m∠Q = 8v - 6, we can equate these expressions:

3v + 4 = 8v - 6

To solve for v, we can start by isolating the variable terms on one side of the equation and the constant terms on the other side:

4 + 6 = 8v - 3v

10 = 5v

Dividing both sides by 5:

v = 2

Now that we have the value of v, we can substitute it back into the expressions for m∠B and m∠Q:

m∠B = 3(2) + 4 = 10

m∠Q = 8(2) - 6 = 10

Therefore, m∠B = 10 and m∠Q = 10.

learn more about angles here: brainly.com/question/31818999

#SPJ11

Answer:-11

Step-by-step explanation:

By using quadrilateral WBNH, the proof should be completed to prove that side WH is congruent to BN as follows;

It is given that WB || HN, so ∠HNW ≅ ∠BWN because if two parallel lines are intersected by a transversal, then alternate interior angles theorem are congruent. WN ≅ WN by reflexive property. Since it is given that ∠WHN ≅ ∠WBN, then ΔNWH ≅ ΔWNB by ASA. Therefore, WB ≅ HN by CPCTC.

In Mathematics and Geometry, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:

By applying the alternate interior angles theorem to quadrilateral WBNH, we have the following:

∠HNW ≅ ∠BWN.

ΔNWH ≅ ΔWNB (Angles, Side, Angle).

By applying corresponding parts of congruent triangles are congruent (CPCTC) to quadrilateral WBNH, we have the following:

WB ≅ HN

Read more on alternate interior angle here: https://brainly.com/question/24839702

#SPJ1

Answer:

  D

Step-by-step explanation:

We expect the height of a helium balloon to be increasing, up to the point where it bursts.

The only graph that shows consistently increasing altitude with a final drop is graph D.

_____

Additional comment

The graph of D shows the altitude increases at an increasing rate. The buoyancy force decreases with altitude, so we expect the balloon would actually have a decreasing rate of altitude increase. The actual curve would likely be concave downward.

Answer:

Okay...................

Answer:

70 sq. in

Step-by-step explanation:

Area of the figure

= ( 10 x 5 ) + ( 5 x 4 )

= 50 + 20

= 70

= 70 sq. in

Answer:

10

Step-by-step explanation:

6p - 5p = p

p - 8 = 2

2 + 8 = 10

10 - 8 = 2

so, p = 10