Help me please. Plz.

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

[tex]h \to altitude[/tex]

[tex]b \to base[/tex]

[tex]A \to Area[/tex]

So:

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]

[tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]

The area of a triangle is:

[tex]A = \frac{1}{2}bh[/tex]

Calculate b when [tex]A =88cm^2; h =8cm[/tex]

[tex]A = \frac{1}{2}bh[/tex]

[tex]88=\frac{1}{2} * b * 8[/tex]

[tex]88 =b * 4[/tex]

Solve for b

[tex]b = 88/4[/tex]

[tex]b = 22[/tex]

We have:

[tex]A = \frac{1}{2}bh[/tex]

Differentiate with respect to time

[tex]\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})[/tex]

Substitute the following values in the above equation

[tex]\frac{dh}{dt} = 1.5cm/min[/tex]        [tex]\frac{dA}{dt} = 1.5^2cm/min[/tex]      [tex]b = 22[/tex]     [tex]h = 8[/tex]

[tex]1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)[/tex]

Multiply both sides by 2

[tex]3 = 8 * \frac{db}{dt} + 22 * 1.5[/tex]

[tex]3 = 8 * \frac{db}{dt} + 33[/tex]

Collect like terms

[tex]8 * \frac{db}{dt} = 3 -33[/tex]

[tex]8 * \frac{db}{dt} = -30[/tex]

Divide both sides by 8

[tex]\frac{db}{dt} = -\frac{30}{8}[/tex]

[tex]\frac{db}{dt} = -3.75[/tex]

Answer:

We accept H₀ we don´t have enough evidence to support that the mean thickness is greater than 41 mm

Step-by-step explanation:

Sample Information:

Results:

41.8

40.9

42.1

41.2

40.5

41.1

42.6

40.6

From the table we get:

sample mean :  x  =  41.35

sample standard deviation    s = 0.698

Hypothesis Test:

Null Hypothesis                    H₀                x = 41

Alternative Hypothesis        Hₐ                x > 41

The test is a one-tail test

If significance level is  0.01 and n = 8  we need to use t-student distribution

From t-table  α = 0.01  and degree of freedom  df = n - 1  df = 8 - 1

df = 7    t(c) = 2.998

To calculate t(s)  =  (  x  -  41 ) / s/√n

t(s)  =  (  41.35  -  41 ) / 0.698/√8

t(s)  = 0.35 * 2.83/ 0.698

t(s) = 1.419

Comparing   t(s)  and t(c)

t(s) < t(c)

t(s) is in the acceptance region we accept H₀

Answer:

The length is 8 cm. Since its a square, so the length of both its sides are equal.

l^2=64

where l=length of side

square root both sides

then, l=8

Answer:

8cm is the length of its side.

Step-by-step explanation:

9514 1404 393

Answer:

  38

Step-by-step explanation:

The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.

9514 1404 393

Answer:

  3.6 cm²

Step-by-step explanation:

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

  s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

  A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

  A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

Answer:

A = 102°   B = 78°

Step-by-step explanation:

(3x + 12°) + (2x + 18°) = 180°

5x = 180° - 12° - 18°

5x = 150|:5

x = 30°

Answer: x=30 A=102 B=78

Step-by-step explanation:

These are linear pairs so they add up to 180.

Your equation is: 3x+12+2x+18=180

5x+30=180

x=30

Plug x into the equations to find their values.

3(30)+12=102

2(30)+18=78

Answer:

1:2

is your answer

Step-by-step explanation:

Answer:

1/2-50%..?

Step-by-step explanation:

The probability of picking an odd numbered card is 50%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, the numbers on cards are 2 3 4 5.

Number of favorable outcomes = 2

Total number of outcomes = 4

Probability of getting odd numbers = 2/4

= 0.5

= 0.5 ×100

= 50%

Therefore, the probability of picking an odd numbered card is 50%.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

[tex] - 3r - 9 = 1r + 2 \\ - 3r - r = 11 \\ - 4r = 11 \\ r = - \frac{11}{4} [/tex]

Answer:

-2x³+10x²+6x

Step-by-step explanation:

-2x³+11x²+0x+7

0x³ -  x²+ 6x-7

_____________

-2x³+10x²+6x+0

_____________

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

Answer:

D = 110

Step-by-step explanation:

MPTS is similar to CDHK

That means

angle M = C

P = D

T = H

S = K

We know P = 110 so D = 110

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

Answer:

No

Step-by-step explanation:

To check if (2,3) is a solution to the system of equations, we simply have to plug the coordinate points into the two equations and see if it is valid.

[tex]2*2+5*3=\\4+15=\\19\\\\19=19[/tex]

(2,3) belongs in the first equation.

[tex]2+16*3=\\2+48=\\50\\\\50\neq 5[/tex]

(2,3) does not belong in the second equation.

Therefore, (2,3) is not a solution to this system of equations.

I hope this helps! Let me know if you have any questions :)

Answer:

6x+10mm=p is the answer

brainlest plz

Answer:

question please so I can help you

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)

Answer:

Step-by-step explanation:

1 to find AB

in triangle ADB

here 4 and 2[tex]\sqrt{6}[/tex]  are the legs of the right triangle so let them be a and b respectively.

AB is the hypotenuse (longest side ) and let it be x

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = AB^2

16 + 4*6 = AB^2

16 + 24 = AB^2

40 = AB^2

[tex]\sqrt{40}[/tex] = AB

[tex]2\sqrt{10}[/tex] = AB

therefore AB =v[tex]2\sqrt{10}[/tex] .Hence proved .

In triangle ADC

here 6 and [tex]2\sqrt{6}[/tex] are the legs of the right angle so let them be a and b respectively. AC is the hypotenuse (longest side) so let it be c

usinfg pythagoras theorem

a^2 + b^2 = c^2

6^2 + [tex](2\sqrt{6} )^2[/tex] = AC^2

36 + 4*6 = AC^2

36 + 24 = AC^2

60 = AC^2

[tex]\sqrt{60}[/tex] = AC

[tex]2\sqrt{15}[/tex] = AC

To prove triangle ABC is a right angled triangle

AD and BD are the legs and AB is hypotenuse

according to pythagoras theorem to be the right angle triangle the sum of square of two smaller sides of a triangle must equal to the square of hypotenuse(longest side)

let two smaller sides be a and b respectively and c be hypotenuse

using pythagoras theorem

a^2 + b^2 = c^2

4^2 + [tex](2\sqrt{6} )^2[/tex] = [tex](2\sqrt{10} )^2[/tex]

16 +2^2*6 = 2^2*10

16 + 4*6 = 4*10

16 + 24 = 40

40 = 40

since both sides are equal it is proved that the triangle ABC is a right angled triangle.

Hope this helps u !!

Answer:

2 square root 10

Step-by-step explanation:

firstly you must find the hipotenus using the hipotenus formula AB is the hipotenus

(4)*2 + (2 square root 10)*2 = 40 juat press a calculator if you dont know

and then you press square root of 40 then you will get 2 square root 10 so you already prove that AB is 2 square root 10

Answer:

x = 8

Step-by-step explanation:

The side-splitter theorem states that when a line that is parallel to the third side of a triangle intersects the other two sides of the triangle, it divides the two sides proportionally.

Applying this theorem, we have the following equation:

x/52 = 2/13

Cross multiply

x*13 = 2*52

13x = 104

13x/13 = 104/13

x = 8

Answer:

1000kg = 1 tone

384/1000=0.384 tone

Given function:

The x-intercepts are the points when f(x) = 0.

Set up equation and solve:

The x-intercepts are (-2.5, 0) and (0.5, 0)

The vertex form of the quadratic equation:

The vertex is minimum if the leading coefficient is positive and maximum if the leading coefficient is negative. The given equation has a = 4, hence its vertex is minimum.

Convert the given equation into vertex form:

As per equation the vertex is (- 1, - 9)

From the previous parts we found the two x-intercepts and vertex, also found that the vertex is the minimum, so the graph opens up.

Plot the points and connect to obtain the graph.

See below.

Answer:

Its H

There should be one dot on 4, 2 dots on 2, 3 dots on 1, 3 dots on 0,  1 dot on 7, 1 dot on 3

Step-by-step explanation:

brainly plz!

2 divided by 32 is 16 so im gonna say 16

16 is ur answer

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

Given:

The stem and leaf plot of a data set is given.

Legend:1|0 represents 10.

To find:

The original data set for the given stem and leaf plot.

Solution:

It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:

10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

These values are in ascending order.

Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

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

Explanation:

The "given that he is male" stated at the end means we only focus on the male column. This is because we know 100% that the person selected is male. Either we're told this by someone else, or we can determine this another way.

There are 39 males that got the flu shot out of 51 males total. The probability we're after is 39/51 = (3*13)/(3*17) = 13/17

It's effectively saying: out of every 17 males, 13 of them got the flu shot.

Answer:

Up 2 to the right 1

Step-by-step explanation:

that would be i think

Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of all of the weights is x=2.088 ​lb, and the standard deviation of the weights is s=1.968 lb.

This means that [tex]\mu = 2.088, \sigma = 1.968[/tex]

a. What is the difference between the weight of 5.31 lb and the mean of the​ weights?

This is [tex]X - \mu = 5.31 - 2.088 = 3.222[/tex]

The difference is of 3.222 lbs.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

This is the z-score. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5.31 - 2.088}{1.968}[/tex]

[tex]Z = 1.64[/tex]

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the weight of 5.31 lb​ significant?

Not significant, as the z-score of 1.64 is between -2 and 2.