will mark brainliest if correct

A study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. The study design being used is a randomized controlled trial (RCT).

Generally,  In an RCT, the study participants are randomly assigned to either the intervention group or the control group. This helps to ensure that any differences between the two groups are not due to preexisting differences between them, but rather are due to the intervention being tested.

In this case, the intervention is a daily exercise intervention, and the outcome being measured is blood pressure among people with pre-hypertension.

The control group serves as a comparison group, and any changes in blood pressure observed in the intervention group can be attributed to the intervention rather than other factors.

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Answer:

lrarning only lang po yan

Step-by-step explanation:

basa lqng

AD-BD=22-15=7

AB is equal to 7.

AD-AC=22-10

AB is equal to 12.

AB+CD=7+12=19.

AD-(AB+CD)=22-19=3

Answer:

3

Step-by-step explanation:

As you can see from the image attached, the length of BC = 3 because:

AC= 10m, BD=15m and AD=22m

When we add up AC + BD = 25 but the length of AD is 22, the 3 extra from the sum of AC + BD is the length of BC.

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

\(6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24\)

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

\(15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1\)

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

Answer:

The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.

Example:  (2x-1 ) (x +4) = 0

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:

p * q = k

where k is the constant of variation.

Given that p is 29 when q is 25, we can substitute these values into the equation:

29 * 25 = k

725 = k

Now, let's determine the value of q when p is equal to 5:

p * q = k

5 * q = 725

Dividing both sides of the equation by 5:

q = 725 / 5

q = 145

Therefore, when p is equal to 5, q is equal to 145.

Step-by-step explanation:

Answer:p1q1=p2q2

q1=25,p1=29;

p2=5,q2=?;

q2=p1q1/p2;

q2=25*29/5;

q2=29*5;

q2=145.

Step-by-step explanation:

According to the given figure, option (A) and option (F) are correct options which better shows ∠4 ≅ ∠6 respectively.

Let's procced to solve this question.

∠4 ≅ ∠8 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠4 ≅ ∠8 by the corresponding angle postulate. It's true.

∠6 ≅ ∠8 by the definition of vertical angles. It's true.

and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B  ≅ ∠C then ∠A ≅ ∠C.

⇒ ∠4 ≅ ∠6 by the transitive property of congruence.

Hence, option (A) is correct.

Now,

∠2 ≅ ∠6 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠2 ≅ ∠6 by the corresponding angle postulate. It's true.

∠2 ≅ ∠4 by the definition of vertical angles. It's true.

and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B  ≅ ∠C then ∠A ≅ ∠C.

⇒ ∠4 ≅ ∠6 by the transitive property of congruence.

Hence, option (F) is correct.

Therefore, option (A) and option (F) are correct option.

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Answer:

e) none of these​

Explanation:

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478

The diagonal distance the point (1,1) and the point (6,9) is 9.43 units.

An equation is an expression that shows the relationship between two or more variables and numbers.

The distance between two points on the coordinate plane is given by:

\(d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\ \\Hence:\\\\d=\sqrt{(9-1)^2+(6-1)^2}= 9.43\ units\)

The diagonal distance the point (1,1) and the point (6,9) is 9.43 units.

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Answer:

Yes. if you're talking about factions then yes. If it wasn't, it would've had something like 90.7. So yes it is a whole number.

Step-by-step explanation:

The probability of exactly five tunnel construction projects taking place in this state at any one time is approximately 0.1008 or 10.08%.

To solve this problem, we will use the Poisson distribution formula. This formula calculates the probability of a given number of events (in this case, tunnel construction projects) happening in a fixed interval (in this case, at any one time) when the average rate of events is known.

The Poisson distribution formula is:
P(x) = (e^(-λ) * λ^x) / x!

Where:
- P(x) is the probability of exactly x events occurring
- λ (lambda) is the average rate of events (3 tunnel construction projects in this case)
- x is the number of events we want to find the probability for (5 tunnel construction projects)
- e is the base of the natural logarithm (approximately 2.71828)
- x! is the factorial of x (the product of all positive integers up to x)

Now, let's plug in the numbers to find the probability of exactly 5 tunnel construction projects taking place at any one time:

P(5) = (e^(-3) * 3^5) / 5!

Step 1: Calculate e^(-3) ≈ 0.04979
Step 2: Calculate 3^5 = 243
Step 3: Calculate 5! = 5 × 4 × 3 × 2 × 1 = 120
Step 4: Multiply and divide: (0.04979 * 243) / 120 ≈ 0.1008

So, the probability of exactly five tunnel construction projects taking place in this state at any one time is approximately 0.1008 or 10.08%.

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Answer:

(8,-4)

Step-by-step explanation:

i hope thats right cause im doing that right now too lol

Answer:

4

Step-by-step explanation:

using Pythagorean theorem

a^2+b^2=c^2

you have C so you can flip it around

c^2-b^2 will give you a^2

Answer:

the answer is 4

Step-by-step explanation:

b²=5²-3²

b²=16

b=4

Answer:

50

Step-by-step explanation:

x° = 1/2 * 100°

x° = 50°

x = 50

Sure, post the questions.

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer:

B

Step-by-step explanation:

|3m-2|=>1

1 <= 3m-2 or 3m-2 <= -1

3 <= 3m or 3m <= 1

1 <= m or m <= (1/3)

The value of the integral is 1710. To evaluate the integral S1 0 (1+1/2u⁴ - 2/5u⁹)du, we need to integrate each term separately.

∫1du = u + C, where C is the constant of integration.

To integrate 1/2u⁴, we can use the power rule of integration:

∫1/2u⁴ du = (1/2) ∫u⁴ du = (1/2) * u⁵/5 + C = u⁵/10 + C

To integrate -2/5u⁹, we can also use the power rule of integration:

∫(-2/5)u⁹ du = (-2/5) ∫u⁹ du = (-2/5) * u¹⁰/10 + C = -u¹⁰/25 + C

Putting everything together, we have:

∫(1+1/2u⁴ - 2/5u⁹)du = ∫1du + ∫1/2u⁴ du - ∫2/5u⁹ du

= u + u⁵/10 - (-u¹⁰/25) + C

= u + u⁵/10 + u¹⁰/25 + C

Now, we can evaluate the definite integral by plugging in the limits of integration:

S1 0 (1+1/2u⁴ - 2/5u⁹)du = [u + u⁵/10 + u¹⁰/25]₁⁰

= (10 + 10⁵/10 + 10¹⁰/25) - (0 + 0⁵/10 + 0¹⁰/25)

= 10 + 1000 + 400000/25

= 10 + 1000 + 16000

= 1710

Therefore, the value of the integral is 1710.

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The speed at which the gap between the two vehicles is narrowing is 154.4 km/h.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

D^2 = (x^2 + y^2) + z^2

2*D*dD/dt  =  2*x*dx/dt  + 2*y*dy/dt  + 0 (since z is constant)

D^2 =  c^2 + z^2 = (x^2 + y^2) + z^2  =  10^2 + 15^2 + 2^2  = 100 + 225 + 4  = 329

= 2800/sqrt(329) = 154.4 km/hr

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Answer:

B

Step-by-step explanation:

To find the length of the longest side of the triangle, first sketch the triangle. A graph paper is not needed here.

In this case we have a right-angled triangle, since the ends of the adjacent side has the same y-coordinate of 1 and the opposite side has the same y-coordinate of 5.

In a right-angled triangle, the hypotenuse side is the longest. The length of the hypotenuse side can be found using 2 methods.

1) Pythagoras' Theorem

a² +b²= c²

(adjacent)² +(opposite)²= (hypotenuse)²

Length of adjacent

= 5 -(-2)

= 7 units

Length of opposite side

= 4 -1

= 3 units

(hypotenuse)²

= 7² +3²

= 58

hypotenuse= \( \sqrt{58} \)

2) Distance formula

Since we know that the hypotenuse side is the longest, we can simply find the length of the hypotenuse side instead of calculating the length of each side.

\(\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}\)

Length of longest side

= distance between (5, 4) and (-2, 1)

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

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

\( = \sqrt{58} \)

Thus, the length of the longest side is \( \sqrt{58} \) units.

The vertices of the ellipse are (0, 8) and (0, -8), the foci are located at (0, ±sqrt(28)), and the eccentricity is sqrt(28)/8.

The equation of the ellipse is given as x^2/36 + y^2/64 = 1. To find the vertices, we substitute x = 0 in the equation and solve for y. Plugging in x = 0, we get y^2/64 = 1, which leads to y^2 = 64. Taking the square root, we have y = ±8. Therefore, the vertices of the ellipse are (0, 8) and (0, -8).

To find the foci of the ellipse, we use the formula c = sqrt(a^2 - b^2), where a and b are the semi-major and semi-minor axes, respectively. In this case, a = 8 and b = 6 (sqrt(36)). Plugging these values into the formula, we have c = sqrt(64 - 36) = sqrt(28). Therefore, the foci of the ellipse are located at (0, ±sqrt(28)).

The eccentricity of the ellipse can be calculated as the ratio of c to the semi-major axis. In this case, the semi-major axis is 8. Thus, the eccentricity is given by e = sqrt(28)/8.

In summary, the vertices of the ellipse are (0, 8) and (0, -8), the foci are located at (0, ±sqrt(28)), and the eccentricity is sqrt(28)/8.

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Answer:

The answer is 41

Step-by-step explanation:

The exact length of the missing side of the triangle is approximately 17.68 cm.

To find the exact length of the missing side of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Given that the legs of the triangle are 12 cm and 13 cm, we can label them as 'a' and 'b' respectively, and the missing side as 'c'.

We can set up the equation as follows:

a² + b² = c²

Plugging in the values:

12² + 13² = c²

Simplifying:

144 + 169 = c²

313 = c²

To find the exact length of the missing side, we take the square root of both sides:

√313 = √c²

17.68 ≈ c

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Answer:

B. h(d) = 0.5d +12; 15 days

Step-by-step explanation:

here they want to write an equation to describe the growth of the plant.  set y = height of the plant (in cm).  set x = days (since planting).  the plant was planted on day 0 (x=0).  We know that the plant was 12 cm tall when it was first planted, so we know that y(0) = 12 cm.  y(0) just means the value of the equation y when x = 0, or y(x=0), or just y(0).  Every day the plant grows .5 cm so we know the value of y will increase at .5cm for every x days, or .5x.  Add the initial value of y (where x=0) and you have the equation y = 12 + .5x  (in cm).  usually we write equations in meters and not cm, so you can change it to y = .12 +.005x (in meters).  

now just set your equation equal to .185 meters and solve for x

.185 = .12 + .005x

.065 = .005x

x = 13 days

Answer

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

a) 12 + 0.5d               d=day

b) 0.195/0.5=0.39d

Answer:

15 days will the zucchini plant be 0.195 meter tall .

Step-by-step explanation:

(a) Find out the  a rule to describe the function.

To prove  

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.  

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove  

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5  

0.5d = 7.5

d = \frac{7.5}{0.5}

d = 15 days  

Therefore 15 days will the zucchini plant be 0.195 meter tall .

The interest rates required to get a total amount of $2,420 from compound interest on a principal of $2,000 compounded 1 times per year over 2 years is 10% per year.

The interest on savings that is calculated on both the initial principal and the interest accrued over time is known as compound interest.

The concept of compound interest, also known as "interest on interest," is thought to have first appeared in Italy in the 17th century. It will accelerate the growth of a sum more quickly than simple interest, which is calculated only on the principal sum.

Money is multiplied more quickly through compounding, and the more times it is compounded, the higher the compound interest will be.

Using the formula A = P(1 + r/n)^nt

Solving for rate r as a decimal

r = n[(A/P)^(1/nt) - 1]

r = 1 × [(2,420/2,000)^{1/(1)(2)} - 1]

r = 0.1

Then convert r to R as a percentage

R = r × 100

R = 0.1 × 100

R = 10%/year

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Answer:

Horizontal line of symmetry

Vertical line of symmetry

Rotational symmetry

Diagonal line of symmetry  

Step-by-step explanation: