Plz help I need help now

The answer to your question is 2

It took approximately 151 seconds to decrease 9 ft water in conical tank.

The volume of a conical tank with vertex down and radius 8 ft and height 20 ft is V = (1/3)πr²h

When the water is 9 ft deep

= (1/3) ×3.14×(8)²×(9)

= 602.88 ft³

We know that the rate of change of volume is 4 ft³/sec. So, the rate of change of depth can be calculated as follows:

Rate of change of depth (dh/dt) = Volume of tank/4 ft³ per sec

= 602.88/4

= 150.72 sec

Therefore, it took approximately 151 seconds to decrease 9 ft water in conical tank.

To learn more about the volume of a cone visit:

https://brainly.com/question/1984638.

#SPJ1

Answer:

m∠2 = 110°

m∠4 = 110°

Step-by-step explanation:

Corresponding Angles Postulate

When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.

Vertical Angles Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Transitive Property of Equality

If any angles are congruent to the same angle, then they are congruent to each other.

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠2 = m∠10

According to the Vertical Angles Theorem:

⇒ m∠10 = m∠13

According to the Transitive Property of Equality:

⇒ m∠2 = m∠13

Therefore:

⇒ 8x + 14 = 10x - 10

⇒ 8x + 14 - 8x = 10x - 10 - 8x

⇒ 14 = 2x - 10

⇒ 14 + 10 = 2x - 10 + 10

⇒ 24 = 2x

⇒ 2x = 24

⇒ 2x ÷ 2 = 24 ÷ 2

⇒ x = 12

Substitute the found value of x into the expression for the measure of angle 2:

⇒ m∠2 = 8(12) + 14

⇒ m∠2 = 96 + 14

⇒ m∠2 = 110°

--------------------------------------------------------------------------------------

As line p is parallel to line q, according to the Corresponding Angles Postulate:

⇒ m∠12 = m∠4

⇒ 15y + 5 = 13y + 19

⇒ 15y + 5 - 13y = 13y + 19 - 13y

⇒ 2y + 5 = 19

⇒ 2y + 5 - 5 = 19 - 5

⇒ 2y = 14

⇒ 2y ÷ 2 = 14 ÷ 2

⇒ y = 7

Substitute the found value of y into the expression for the measure of angle 4:

⇒ m∠4 = 13(7) + 19

⇒ m∠4 = 91 + 19

⇒ m∠4 = 110°

The value of x, in degrees, is given as follows:

A. 48.

Similar triangles are triangles that share these two features given as follows:

The similar triangles in this problem are listed as follows:

WUV and WUT.

In triangle UWV, the length of the side adjacent to the angle of 48º has a length of 13.5 cm.

In triangle WUT, the length of the side adjacent to the angle of x has a length of 13.5 cm.

Reminding the two features of similar triangles, namely congruent angle measures and proportional side lengths, the measure of angle x is given as follows:

x = 48º.

(as the equivalent side length is the same, hence the angle measure is also the same).

This means that option A is correct.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

0.8

Step-by-step explanation:

Answer: 4.5 looks the most reasonable to me.

Step-by-step explanation:

Step-by-step explanation:

(2x - 3) × 4 = 20

2x - 3 = 5

2x = 8

x = 4

Answer:

\( = > (2x - 3) \times 4 = 20\)

\( = > 2x - 3 = \frac{20}{4} \)

\( = > 2x - 3 = 5\)

\( = > 2x = 5 + 3\)

\( = > 2x = 8\)

\( = > x = \frac{8}{2} \)

\( = > x = 4\)

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

for such more question on measure of angle

https://brainly.com/question/25716982

#SPJ8

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Answer:

After applying the distributive property, Ezra's expression was 8y + 16

After he used the commutative property, his expression was 16 + 8y

Step-by-step explanation:

Distributive property rule: a(x+y) = ax + ay
   Not much to explain here

Commutative property rule: a + b = b + a   or  xy = yx
   We use addition rule in this case, simply place 16 in front of 8y

Answer:

u got the right answer in the picture

The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

Learn more on slope of line tangent here;

https://brainly.com/question/6353432

#SPJ1

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

2.4m

Step-by-step explanation:

The question has already done most of the work for you. To find the initial height, simply set t = 0 and substitute it into the function.

\(d(0) = {0}^{2} + 2.4 + 3.2(0) \\ = 2.4m\)

Answer:

The answer is B

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Answer: A number with the same absolute value of 23 is -23.

Explanation: The absolute value of a number is how far it is from zero, and the absolute value of a number is always positive, unless the number is 0, in which case the absolute value is neutral, and the absolute value is 0.

Examples: 6 is 6 away from zero, so the absolute value of 6 is 6.

−6 is 6 away from zero, so the absolute value of −6 is 6.

The number that has the same absolute as 23 is -23.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

An absolute number x is denoted by |x|

If x = -x,

|-x| = x

Now,

|23| = 23

|-23| = 23

So,

-23 has the same absolute value as 23.

Thus,

-23 is the number.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The total materials handling cost allocated to the modular homes is $246,372.84.

The total materials handling cost allocated to the Prefab Barns is closest to $108,000.

To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.

Proportion of material moves for Modular Homes:

= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)

= 590 / (590 + 190)

= 0.756

Total materials handling cost allocated to Modular Homes:

= Proportion of material moves for Modular Homes * Total materials handling cost

= 0.756 * $325,890

= 246 372.84

= $246,372.84.

To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.

For Modular Homes:

Total direct labor-hours for Modular Homes:

= 6,000 units * 800 hours/unit

= 4,800,000 hours

For Prefab Barns:

Total direct labor-hours for Prefab Barns:

= 9,000 units * 300 hours/unit

= 2,700,000 hours

Total direct labor-hours for both products:

= 4,800,000 hours + 2,700,000 hours

= 7,500,000 hours

Proportion of direct labor-hours for Prefab Barns:

= 2,700,000 hours / 7,500,000 hours

= 0.36

Allocated materials handling cost for Prefab Barns:

= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost

= 0.36 * $300,000

= $108,000.

Read more about allocated cost

brainly.com/question/31439407

#SPJ1

Step-by-step explanation:

150 students overall.

an immediate assumption would be that these 150 students are the universal set of students taking these classes.

but we have to be careful and check. could it be that there are more than these 3 classes for the 150 students ? or that there is an option to be a student and not take any of the classes ?

the last question (c) suggests something like that.

so, these 150 students are the universal set for all these cases.

the sum of all students that took 2 classes contains also the ones that took all 3 classes. each of these students (that took all 3 classes) are then counted three times in these groups - one time for each pair of classes.

so, 26 + 28 + 32 - 22 - 22 = 42 is the number of students that took at least 2 classes (the subtraction of 2×22 eliminates two of the triple counting of the students that took all 3 classes).

since these 42 students contain also the ones with 3 courses, we need to subtract the 22 with 3 classes a third time again to get the number of students that had exactly 2 classes :

42 - 22 = 20.

so, we have 22 students attending all 3 class.

then 20 more attending exactly 2 classes.

in detail it means for these 20

26 - 22 = 4 had taken exactly math and physics.

28 - 22 = 6 had taken exactly math and chemistry.

32 - 22 = 10 had taken exactly chemistry and physics.

and that means for the individual classes

84 - 22 - 4 - 6 = 52 had taken math only.

64 - 22 - 6 - 10 = 26 had taken chemistry only.

48 - 22 - 4 - 10 = 12 had taken physics only.

in total

150 - 52 - 26 - 12 - 20 - 22 = 18

18 students of these 150 have not attended any of these 3 classes.

(a)

so,

52 + 26 + 12 = 90

90 students took one course only.

(b)

so, the number of students that had at most 2 classes is the number of students with exactly one class (90) and exactly 2 classes (20) AND the ones without any of these 3 classes : 90 + 20 + 18 = 128

128 students took at most 2 courses.

we could have gotten this also by saying all the students not taking all 3 classes : 150 - 22 = 128

(c)

the original assumption was that 150 students did at least one of the classes. but that was wrong.

we found that 18 students did not attend any of the classes.

that means that

150 - 18 = 132

132 students took at least one of the courses.

Answer:

88

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

For more such questions on Equivalent:

https://brainly.com/question/2972832

#SPJ8

In linear algebra, a symmetric matrix is a square matrix whose transpose remains unchanged. This indicates that a symmetric matrix is one whose transpose is the same as the matrix itself.

A = 3.75 -1.25 0.25 L = 3.75 -1.75 0.25 -1.75 3.75 -1.25 -1.75 0.25 -1.25 3.75 Now, employing Eigen Vectors, compute the normalized values of V1 as follows: length of V1 = (1)2 + (1)2 + (122 + 422) = 2 Bame as 2 = 3 = 4 Bo the matrix fort= 1 V4 0.5 0.5 0.5 0.5 0.5  -0.5, 0.5, 0.5, 0.5 of the Eigen Values of the Given Matrix A 7,4,3,1 1 Now Rank-2-Approximation GV; & the Bingular Value Mean VT + 62: V2 V₂T

0.50 0.5 0.5 7 [o. 0.50 0.5 0.5 0.50.5 -0.5 +4 0.5-0.5-0.5]

7

50.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 10.25 0.25 0.250.25

0.25 0.25 0.25 0.25

144

16.25 0.25 -0.25 -0.25 0.25 0.25 -0.25 -0.25 10.25 -0.25 0.25 0.25 1-0.25 -0.25 0.25 0.25

= 1.75 1.75 1.75 1.75- 1.75 2.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75 1.75

1 1 -1 1 1 1 -1 1 -1 -1 1 -1 1 1 1 1 ++

2.75

-0.75 -0.75 2.75 2.75 -0.75 -0.75 2.75 2.75 2.75 -0.75 -0.75

2.75 2.75 -0.75 -0.75.

To learn more about symmetric matrix here

https://brainly.com/question/28535559

#SPJ4

Answer:

i do

Step-by-step explanation:

the equation would be no solution if the sides are equal numbers with the same slope and do not intersect.  if you plug in a random number such as 7 for x you would get 16 = 8. always making the numbers parrallel

Based on the study, the researcher may develop a hypothesis that smoking is associated with an increased risk of depression.

An explanation that is put up for a phenomena or a group of facts is called a hypothesis. It is a speculative explanation that needs more testing and improvement because it is supported only by a small body of data. A hypothesis is not a tested theory, but rather a point of departure for more research. A hypothesis is examined in scientific study by testing and observationit. The purpose of hypothesis testing is to evaluate the likelihood that the suggested explanation is accurate and to spot any discrepancies or holes in the available data. The act of testing and improving hypotheses is a crucial component of the scientific method since it ensures that scientific ideas are supported by reliable data.

How to solve?

This hypothesis can then be tested through further research, such as conducting a larger study with more participants, or conducting experiments to evaluate the potential mechanisms by which smoking may affect the development of depression.

The researcher may also use statistical methods to analyze the data collected from the study, in order to determine the significance of the relationship between smoking and depression.

If the hypothesis is supported by the evidence, the researcher may conclude that smoking is a risk factor for depression, and may recommend interventions or preventative measures to reduce the risk of depression among smokers.

To learn more about hypothesis, visit:

https://brainly.com/question/17246563

#SPJ4

The property illustrated ca be classified as the transitive property of equality

Equation are expressions separated by an equal sign. For transitive property, if two system of equation are equal, and the first is equal to the second, then they 2nd is equal to the third, they are transitive.

According to the transitive property of equality, two quantities that are equal to the same thing are equal to each other. For instance If x = 10 and 10 = y, then x = y.

Given that g = 3h and 3h = 16, then g = 16, then the property illustrated ca be classified as the transitive property of equality

Learn more on transitive property here: https://brainly.com/question/4083674

#SPJ1

Answer: -59

Step-by-step explanation: https://byjus.com/discriminant-calculator/

Answer:

Step-by-step explanation:

The correct interpretation of the 95% confidence level is (D) Approximately 95% of all random samples of size 30 from the population will produce intervals that contain the mean size of farms in the United States.

In other words, if we repeatedly take random samples of size 30 from the population of farm sizes in the United States and construct 95% confidence intervals for the mean size in each sample, approximately 95% of those intervals will contain the true mean size of farms in the United States. The interval (367, 558) is just one of those intervals, and it is not a statement about the farm sizes in the sample or the farm sizes in the entire population.

To know more about confidence intervals visit :

https://brainly.com/question/17212516

#SPJ1

Answer:

17

Step-by-step explanation:

Answer:17

Step-by-step explanation:

24-7=17