5x + 25 ° solve for x and find the measure of

The average rate of change of the substance is given as -2.4

When the value of t is ten years, the radioactive substance in grams is given as 6

When t is 0 on the graph, the gram is given as 3o grams

The rate of change would be

6 - 30 / 10 - 0

= -24 / 10

= - 2.4

The average rate of change is not a good measure. This is because what we have here is an exponential decay

Read more on average rate of change here:https://brainly.com/question/8728504

#SPJ1

Answer:

9.43

Step-by-step explanation:

You simply use the first couple digits of the solution your calculator gave you. (How many depends on the question you were asked)

Answer:

  9 23/53

Step-by-step explanation:

The fraction is not particularly nice. It can be written as ...

  9/0.954 = 9000/954 = 500/53 = 9 23/53

As a decimal, the fraction has a 13-digit repeat:

  \(9.\overline{4339622641509}\)

The values of the probabilities are P(u or v) = 0.63, P(u and v) = 0 and P(u|v) = 0

The probabilities are given as:

P(U) = 0.26

P(V) = 0.37

For mutually exclusive events, we have

P(u or v) = P(u) + P(v)

So, we have

P(u or v) = 0.26 + 0.37

P(u or v) = 0.63

Also, we have:

P(u and v) = 0

Finally, we have:

P(u|v) = 0

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

Answer:

B - Cylinder

Step-by-step explanation:

It has 2 bases (one on top and one at the bottom)

And It has no lateral faces

Answer: cylinder

Step-by-step explanation:

hope this helps

Answer:

the slope will be

−

2

3

and the

y

-intercept will be

7

.

Step-by-step explanation:

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.

Here,

Given : side = 12cm

Area of an equilateral triangle

=> √3/4 * side²

Side of triangle =12 cm

Area of an equilateral triangle

= >  √3/4 * 12²

=>√3/4 * 12*12

=> 62.28 cm²

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

The final answer is

∭E (xy + yz + xz) dV = **1 + 3z**, where E={(x,y,z)∣0≤x≤1,−x^2≤y≤x^2,0≤z≤9}. the upper bound of integration in the region E. This result reflects the contribution of the variables xy, yz, and xz over the bounded region E={(x,y,z)∣0≤x≤1,−x^2≤y≤x^2,0≤z≤9}.

The evaluation of the triple integral ∭E (xy + yz + xz) dV over the bounded region E={(x,y,z)∣a≤x≤b,h1(x)≤y≤h2(x),e≤z≤f} is as follows:

To evaluate the given triple integral, we need to express the bounds of integration in terms of x, y, and z. In this case, we are given the region E={(x,y,z)∣0≤x≤1,−x^2≤y≤x^2,0≤z≤9}. Let's break down the integral into its individual components.

The bounds for x are given as 0≤x≤1. This means x varies from 0 to 1.

The bounds for y are −x^2≤y≤x^2. This indicates that y lies between the curves y = −x^2 and y = x^2.

The bounds for z are 0≤z≤9, which means z ranges from 0 to 9.

Now, let's set up the triple integral using these bounds:

∭E (xy + yz + xz) dV = ∫₀¹ ∫₋ˣ² ˣ² ∫₀⁹ (xy + yz + xz) dz dy dx.

We start by integrating with respect to z, as the bounds for z are constant. The integral becomes:

∭E (xy + yz + xz) dV = ∫₀¹ ∫₋ˣ² ˣ² [(xy + yz + xz)z]₀⁹ dy dx.

Simplifying further:

∭E (xy + yz + xz) dV = ∫₀¹ ∫₋ˣ² ˣ² (9xy + 9yz + 9xz) dy dx.

Next, we integrate with respect to y. The integral becomes:

∭E (xy + yz + xz) dV = ∫₀¹ [3ˣ⁴ + 6ˣ²z + 3ˣ⁴z]₋ˣ² dx.

Finally, we integrate with respect to x:

∭E (xy + yz + xz) dV = [x⁵ + 2x³z + x⁵z]₀¹.

Evaluating the integral at the upper and lower limits:

∭E (xy + yz + xz) dV = (1⁵ + 2(1³)z + 1⁵z) - (0⁵ + 2(0³)z + 0⁵z).

Simplifying:

∭E (xy + yz + xz) dV = 1 + 2z + z - 0.

Therefore, the final answer is:

∭E (xy + yz + xz) dV = **1 + 3z**, where E={(x,y,z)∣0≤x≤1,−x^2≤y≤x^2,0≤z≤9}.

By evaluating the given triple integral, we obtained a final result of 1 + 3z, where z represents the upper bound of integration in the region E. This result reflects the contribution of the variables xy, yz, and xz over the bounded region E={(x,y,z)∣0≤x≤1,−x^2≤y≤x^2,0≤z≤9}.

Learn more about integration here

https://brainly.com/question/30215870

#SPJ11

Answer:

3:1

Step-by-step explanation:

The simplified ratio can just be divided by 3 to be simplified into a simple ratio:

\(9 / 3 : 3 / 3\)

\(3:1\)

hope so this might help

ans is above in the pic

The incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

To sketch the segments representing the distance from the incenter to the sides of a triangle, we draw perpendiculars from the incenter to each of the sides, as shown in the attached image.

The segments representing the distances from the incenter P to the sides of the triangle are the inradii.

Let r1, r2, and r3 be the lengths of the inradii corresponding to sides AB, BC, and AC, respectively.

Then, we have:

r1 = distance from P to AB

r2 = distance from P to BC

r3 = distance from P to AC

To compare these distances, we use the fact that the incenter is the intersection of the angle bisectors of the triangle.

Therefore, the distance from the incenter to each side is proportional to the length of the corresponding side. More precisely, we have:

r1 : r2 : r3 = AB : BC : AC

This proportionality can be proved using the angle bisector theorem, which states that the length of the segment of an angle bisector in a triangle is proportional to the lengths of the adjacent sides.

Hence, the incenter is the intersection of the angle bisectors, the distances from the incenter to the sides are proportional to the lengths of the adjacent sides, which gives the desired proportionality.

To learn more about the proportion visit:

brainly.com/question/870035

#SPJ4

Answer:

16.1 seconds

Step-by-step explanation:

h = 16t²

h = 4144

4144 = 16t²

÷16      ÷16

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

259 = t²

√259 = √t²

16.1 ≈ t

I hope this helps!

Answer:

Yo, there would be 320 boys and 480 girls. Cheers

Step-by-step explanation:

Since the ratio is 4:6. that just means there's 1.5 the amount of girls as there is boys.

Answer:

480

Step-by-step explanation:

No

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

C) 32ft

Step-by-step explanation:

2x+2=   2(1)+2= 4

3x+4=   3(1)+4= 7

2x+2=   2(1)+2= 4

5x+1=    5(1)+1= 6

2x+2=   2(1)+2= 4

3x+4=   3(1)+4= 7

4+4+4+6+7+7=  31

Answer:

A

Step-by-step explanation:

because linear modelling can include population change

Answer: The answer is 25               then if it asks for the equation it is A=1/2bh

Step-by-step explanation:

The b or base is 10

The height or h is 5

A=1/2bh

A=1/2(10)(5)

A=1/2(50)

A=25

I hope this helps :)

Answer:

25m^2

Step-by-step explanation:

the formula for finding the area of a triangle is b*h/2. So 10 times 5 equals 50. When you divide 50 by 2 you get 25. 25m^2 Is the answer.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete. However, I'll ask and answer possible questions that emanate from the given parameter.

A possible question is: Write the given information as a function of distance.

We have that;

\(Base\ Distance = 200\)

\(Time = t\)

\(Rate = r\)

The function would be calculated as:

Base Distance + Rate * Time

Substitute values for Base Distance, Rate and Time

This gives:

\(200 + r * t\)

\(200 + rt\)

Hence;

\(Distance = 200 + rt\)

Another possible question is to determine the current distance travelled by the family at a rate of 80 miles per hour for 3 hours.

Here, we have:

\(r = 80\)

\(t = 3\)

Substitute these values in \(Function = 200 + rt\)

\(Distance = 200 + 80 * 3\)

\(Distance = 200 + 240\)

\(Distance = 440\)

From the question;

About 4 of every 50 college freshmen chooses to major in business

we need to find how many business majors would be ina group of 1650 college freshmen

Since 4 out of every 50 college freshman major in business

then

Therefore,

132 college freshmen will major in business out of 1650 college freshmen

Answer: \(371.8\ \text{Pounds}\)

Step-by-step explanation:

Given

Dimensions of rectangular granite countertop is \(72\times 42\times 1.25\ in.^3\)

Density of granite is \(\rho=170\ \text{Pounds per cubic ft}\)

Volume of granite countertop

\(\Rightarrow V=72\times 42\times 1.25\\\Rightarrow V=3780\ in.^3\)

We know, 1 ft=12 inch

\(\therefore V=2.187\ cm^3\)

Weight of granite

\(\Rightarrow m=\rho \times V\\\Rightarrow m=170\times 2.1875\\\Rightarrow m=371.8\ \text{Pounds}\)

Answer:

3 1/2

Step-by-step explanation:

Answer:

325,452 more meteors fell during the Perseid meteor shower

Step-by-step explanation:

An year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in an year:

365*24*60 = 525600

Persoid:

\(1 + \frac{1}{5} = 1 + 0.2 = 1.2\)

One each 1.2 minutes. How many during an year?

1 meteor - 1.2 minutes.

x meteors - 525600 minutes.

\(1.2x = 525600\)

\(x = \frac{525600}{1.2}\)

\(x = 438000\)

438,000 meteors fell during the Persoid shower.

Leonid:

\(4 + \frac{2}{3} = 4.67\)

One each 4.67 minutes. How many during an year.

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

\(4.67x = 525600\)

\(x = \frac{525600}{4.67}\)

\(x = 112548\)

112,548 meteors fell during the Leonid Shower.

How many more meteors fell during the Perseid meteor shower?

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

she selects 4 of the books to read to her class in the week before the holiday=  \(^{14}C_{4}\)

Permutation and combination are methods for representing a collection of objects by selecting them from a set and forming subsets. It specifies the various ways to arrange a specific set of data. Permutations are when we select data or objects from a specific group, whereas combinations are the order in which they are represented.

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

A kindergarten teacher has 14 books about a holiday. in how many ways can she select 4 of the books to read to her class in the week before the holiday,

he can select \(^{14}C_{4}\)

learn more about Permutation and combination,

brainly.com/question/13387529

#SPJ4

125

1) Examining the sequence 1, 8, 27, 64 we can find a pattern like this:

2) As we can see, when we raise to 3rd power we can get the numbers of that sequence.

3) So the next number in that sequence is 125

Answer:

\(d\approx 16.16\ units\)

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x,y) and B(w,z), the distance between them is:

\(d=\sqrt{(z-y)^2+(w-x)^2}\)

The triangle formed by the points N (7,3), 0(-8, -3), and  P(-8,-8) is shown in the image provided.

We are required to find the distance between N and O:

\(d=\sqrt{(-3-3)^2+(-8-7)^2}\)

\(d=\sqrt{(-6)^2+(-15)^2}\)

\(d=\sqrt{36+225}\)

\(d=\sqrt{261}\)

Since 261=9*29:

\(d=3\sqrt{29}\)

\(\mathbf{d\approx 16.16\ units}\)

Answer:

0.25

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

To solve this expression, we need to remember that division should be done before multiplication or addition/subtraction.

So we first simplify the expression by dividing 1/2 by 6:

1/2 ÷ 6 = 1/2 × 1/6

Next, we multiply the two fractions by multiplying their numerators and denominators:

1/2 × 1/6 = (1 × 1)/(2 × 6) = 1/12

Therefore, the value of the expression 1/2 ÷ 6 is equal to 1/12.

To find the percentage difference for part B and procedure C and to get the Req parallel and percentage difference for

The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100To find the percentage difference for part B, follow the steps below: Old Value = 3005New Value = 16005Percentage Difference = (16005 - 3005) / 3005 x 100Percentage Difference = 433.27%Procedure C Percentage Difference. The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100

To find the percentage difference for procedure C, follow the steps below: Old Value = 16005New Value = 22005Percentage Difference = (22005 - 16005) / 16005 x 100Percentage Difference = 37.48%Req ParallelThe formula to calculate Req parallel is:Req = (R1 * R2 * R3) / (R1R2 + R2R3 + R3R1)Req = (3005 * 16005 * 22005) / (3005 * 16005 + 16005 * 22005 + 22005 * 3005)Req = 750.79Ω

Percentage Difference for Req Parallel. The formula to find percentage difference is:(New Value - Old Value) / Old Value x 100To find the percentage difference for Req parallel, follow the steps below:Old Value = 750.79New Value = 1501.58Percentage Difference = (1501.58 - 750.79) / 750.79 x 100Percentage Difference = 99.81%

To know more about percentage visit:

brainly.com/question/33373439

#SPJ11

q: An isosceles triangle has two congruent sides.

r: Two angles, whose measure have a sum of 90, are supplements.​

Step-by-step explanation: