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Answer:

b.28% of the patients tested received the medication and experienced a decrease in blood pressure

Answer:

The second one

Step-by-step explanation:

The total of patients is 100% wich is equivalent to 1.

● 0.5 of them received medication and ● 0.54 of them experienced a decrease in blood pressure.

The intersection of both is worth 0.28

So out of 1, 0.28 took medication and experienced a blood pressure decrease

Answer:

  √97 ≈ 9.85 units

Step-by-step explanation:

The distance formula can answer this question.

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((-3-6)^2 +(-2-2)^2) = √(81 +16) = √97

The distance between the points is √97 ≈ 9.85 units.

Answer:

3.162

Step-by-step explanation:

on a calculator type in sqrt of 10 and round it to three decimal places

Answer:

the answer should be no solution

Answer:

B

Step-by-step explanation:

Given

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Question: Given that BE bisects ∠CEA, which statements must be true? Select THREE options.

(See attachment below for the figure)

m∠CEA = 90°

m∠CEF = m∠CEA + m∠BEF

m∠CEB = 2(m∠CEA)

∠CEF is a straight angle.

∠AEF is a right angle.

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Angle on a straight line = 180°. Therefore, m<CEA + m<AEF = m<CEF. Each right angle measures 90°.

Thus, the three statements that must be TRUE are:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

The correct statements from the given diagram is m∠CEA = 90°, m∠CEF = m∠CEA + m∠BEF and m∠CEB = 2(m∠CEA)

From the given diagram, we have the following information

∠CEF is a straight angle.

∠AEF is a right angle.

Line AE is perpendicular to line CF, which is a straight line. This creates two right angles, <CEA and <AEF.

Since the angle on a straight line is 180 degrees, hence;

<CEA + m<AEF = m<CEF

Hence, the three statements that must be TRUE are m∠CEA = 90°, ∠CEF is a straight angle and ∠AEF is a right angle

Learn more on lines and angles here: https://brainly.com/question/25770607

Answer:

B.   183 degrees.

Step-by-step explanation:

m arc MN = 360 - 107 - 177

= 360 - 284

= 76

m NMK =   76 + 107

= 183

The measure of the arc NMK will be 183°. Then the correct option is B.

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

The measure of the angle ∠MLK is 35°.

The major and minor arc is 117x and 107x.

We know that the angle ∠MLK is the half of the difference of the major arc to minor arc.

∠MLK = (arc KN – arc KM) / 2

    35° = (177x - 107x) / 2

    70° = 70x

        x = 1°

Then the measure of the arc KN will be

Arc NK = 177 x 1

Arc NK = 177°

We know that the sum of the arc KN and KMN will be 360°.

mNK + mNMK = 360°

 177° + mNMK = 360°

           mNMK = 360° – 177°

           mNMK = 183°

The measure of the arc NMK will be 183°.

Then the correct option is B.

More about the circle link is given below.

https://brainly.com/question/11833983

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Answer:

no solution

Step-by-step explanation:

Then there is no solution.

Answer:

No solution.

Step-by-step explanation:

Then the equation has no solution.

For example

2x - 2 = 2x + 1

-2x          - 2x

-2 = 1.

Answer:

The answer is 24

Step-by-step explanation:

If the restaurant fee is $7.5 and the price is $14 per pizza, she has $52.5 to spend on the pizzas after we deduct the restaurant fee.

That means she can get 52.5 / 14 = 3.75 pizzas.

I hope this answer helps.

The total slices she can afford is 30 and this can be determined by using the unitary method and forming the linear equation.

Given :

The following steps can be used to determine the total slices she can afford:

Step 1 - Total cost to order one pizza is given by:

= 7.5 + 14

= $21.5

Step 2 - Let the total number of pizzas she can order be 'x'. So, the delivery fee plus the cost of the pizzas under $60 is represented by the equation:

14x + 7.5 = 60

14x = 52.5

x = 3.75

Step 3 - Now, according to the given data if one pizza contains 8 slices then 3.75 pizza contains:

[tex]= 3.75\times 8[/tex]

= 30 slices

The total slices she can afford is 30.

For more information, refer to the link given below:

https://brainly.com/question/13911928

Complete question :

Ally sliced 32 kg of watermelon for a party. She divided the watermelon slices equally between 8 large bowls.

How many grams of watermelon did Ally put in each bowl?

Answer:

4000g

Step-by-step explanation:

Given the following :

Mass of water melon sliced = 32kg

Number of bowls water melon was shared equally in = 8

Therefore, mass of water melon on each bowl :

Mass of water melon / number of bowls

= 32kg / 8

= 4kg

Note:

1000g = 1kg

Therefore,

4kg = (4 * 1000)

= 4000 grams

Therefore, amount in gram of watermelon put in each bowl is 4000g

Step-by-step explanation:

Since, the hiker are walking at different speeds they meet at a point not in the middle.

Let distance travelled by Hiker A (slower) be x at speed s.

So, distance travelled by Hiker B (faster) is (22 - x) at a speed (s + 1.1) .

[tex]speed \: = \frac{distance}{time} [/tex]

Solving equations 1 and 2, we get :

x = 8.8m and s = 2.2mph

Therefore,

Speed of Hiker A = 2.2 mph

Speed of Hiker A = 2.2 mphSpeed of Hiker B = 3.3 mph

Answer:

Mercury

Step-by-step explanation:

We'll translate this into ratios.

First, V:E = 0.943:1

Then, M:E = 0.983:1

We already have their density in terms earth's density. They are in the same unit. So, we can compare them directly, with greater ratio means greater density. It's clear that Mercury has the greater density.

Answer:

Step-by-step explanation:

2/3 + 2/5 = 10/15 + 6/15 = 16/15 tins per day

24 tins divided by 16/15 = 24/1 divided by 16/15

To divide one fraction by another, take reciprocal of the other and then multiply.

24/1 x 15/16 = 360/16 = 22 1/2 days

Answer:

width is 47 and the length is 90

Step-by-step explanation:

Hello!

You find the perimeter by adding all the sides

l + l + w + w = p

The perimeter is 274

l + l + w + w = 274

It says the length is 4 less than double the width

l = 2w - 4

We can put this into the original equation

2w - 4 + 2w - 4 + w + w = 274

Now we solve

Combine like terms

6w - 8 = 274

Add 8 to both sides

6w = 282

Divide both sides by 6

w = 47

We can put w into the orginal equation to find l

l + l + 47 + 47 = 274

Combine like terms

2l + 94 = 274

Subtract 94 from both sides

2l = 180

Divide both sides by 2

l = 90

The answer is the width is 47 and the length is 90

Hope this helps!

Answer:

lenght: 90 yards

width: 47 yards

Step-by-step explanation:

perimeter = 2(length + width)

274 = 2(h + w)

h = 2w - 4

h = length

w = width

then:

274 = 2((2w-4) + w)

274/2 = 2w - 4 + w

137 = 3w - 4

137 + 4 = 3w

141 = 3w

w= 141/3

w = 47 yd

h = 2w - 4

h = 2*47  - 4

h = 94 - 4

h = 90 yd

probe:

274 = 2(47 + 90)

274 = 2(137)

Answer:

B) 16

Step-by-step explanation:

Espresso required for one person:

Espresso required for 24 people:

3 teaspoons = 1 tablespoon

48 teaspoons = 48/3 = 16 tablespoons

Christopher needs 16 tablespoons of espresso.

Correct answer choice: B) 16

Answer:

Hope it helps you ♥️

Step-by-step explanation:

Answer:

The amount Trevor's family pay per minute on shower water is $0.005.

Step-by-step explanation:

The cost of water is,

Cost = $0.20/liter

Amount of water used over the entire month:

Amount of water used = 72 liters

Compute the total water cost as follows:

Total water cost = Amount of water used × Cost

                           = 72 × 0.20

                           = $14.4/liter

The average number of minutes each person showered is:

Average number of minutes = 480 minutes.

The number of people in Trevor's house:

N = 6

Compute the total amount of time the 6 person showered as follows:

Total amount of time = Average number of minutes × N

                                   = 480 × 6

                                   = 2880 minutes

Compute the pay per minute on shower water as follows:

Pay per minute on water = Total water cost ÷ Total amount of time

                                          = $14.4 ÷ 2880

                                          = $0.005

Thus, the amount Trevor's family pay per minute on shower water is $0.005.

Answer:

0.03

Step-by-step explanation:

Greetings from Brasil...

Follow the reasoning.

288 ÷ 2 = 144

and 144 its a perfect square (144 = 12²)

It is visible that if we multiply 288 by 1/2, we will obtain a perfect square, but we will do this via a simple equation

288 · X = 144

X = 144 ÷ 288

X = 0,5  ⇔ X = 1/2

Answer: 281.1 degree

Step-by-step explanation:

Given that a jogger leaves his house runs 15 km on a straight track in a North westerly direction to a lake. The lake is 2.9 km north of the joggers house. 

Using pythagorean theorem to find the third side, which is 14.72

The angle at the lake side will be achieved by using sine rule.

Please find the attached file for the solution and explanation.

Answer:

$18

Step-by-step explanation:

1 pound of raisins = $2

1 pound of almonds = $5

Let the number of raisins be represented by a

Let the number of almonds be represented by b

We are told in the question that:

Six pounds of a trail mix contains 2 more pounds of raisins than almonds.

a + b = 6 pounds

Hence, Almonds = 2 pounds

Raisins = 4 pounds

The cost of the 6 pounds of trail mix

= 4 × $2 + 2 × $5

=$8 + $10

= $18

Answer:

39x

Step-by-step explanation:

Just multiply 7 by 5 and that equals-35

now you just add 4x by 35 and that equals-39x

Answer:

A = (16π - 8) cm^2

Step-by-step explanation:

The shaded area is trhe area of the circle minus rthe area of the truiangle,.

A = πr^2 - bh/2

A = π(4 cm)^2 - (4 cm)(4 cm)/2

A = 16π cm^2 - 8 cm^2

A = (16π - 8) cm^2

The exact area of the shaded region is (16π - 8) [tex]cm^{2}[/tex].

Option (A) is correct.

To find the shaded area.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”.

Given that:

Height of triangle is same as that of base because is equal to radius of circle.

The shaded area is area of the circle minus the area of the triangle.

A = π[tex]r^2 - bh/2[/tex]

A = π[tex]4^{2}[/tex] - (4 cm)*(4 cm)/2

A = (16π - 8 )[tex]cm^{2}[/tex]

A = (16π - 8) [tex]cm^{2}[/tex]

The exact area of the shaded region is (16π - 8) [tex]cm^{2}[/tex].

Learn more about circle here:

https://brainly.com/question/17202197

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

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

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

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

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

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

Answer:

w = V / lh

Step-by-step explanation:

V = ℓwh

Where,

V=volume of a rectangular prism

l= length of the rectangular prism

w= width of the rectangular prism

h= height of the rectangular prism

Rearrange the quantities in this formula to give a new formula for the width of the rectangular prism.

V = ℓwh

It can be written as

V = l * w * h

w = V ÷ l * h

= V / lh

w = V / lh

Width of a triangular prism equals Volume of the rectangular prism divided by length of the rectangular prism times height

Answer:

(a) 51%

(b) 41%

Step-by-step explanation:

We can simplify this problem down by realizing that the amount of girls over 200 will get us our percentage as a decimal.

Looking at this table, we can see that [tex]30+72=102[/tex] girls were asked. So, [tex]102\div200=0.51[/tex], and [tex]0.51\cdot100=51[/tex].

We can also see that [tex]30+52=82[/tex] people preferred video games, so [tex]82\div200=0.41[/tex], and [tex]0.41\cdot100=41[/tex].

Hope this helped!

Answer:

[tex]\Large \boxed{\mathrm{(a) \ 51\% }} \\ \\ \Large \boxed{\mathrm{(b) \ 41\%}}[/tex]

Step-by-step explanation:

(a) To find the percentage of the students that are girls:

[tex]\displaystyle \sf \frac{total \ number \ of \ girls}{number \ of \ students }[/tex]

[tex]\displaystyle \sf \frac{30+72}{200 }= \frac{102}{200 } =51\%[/tex]

(b) To find the percentage of students that prefer playing video games:

[tex]\displaystyle \sf \frac{total \ number \ of \ students \ that \ prefer \ playing \ video \ games}{number \ of \ students }[/tex]

[tex]\displaystyle \sf \frac{30+52}{200 }=\frac{82}{200} = 41\%[/tex]

Answer:

Step-by-step explanation:

a) The cost of a product is given as:

Cost = a + bx

Where a is the fixed cost, b is the variable cost, x is the independent variable.

In this case, the independent variable is the distance(d), therefore:

Cost (C) = a + bd

C = a + bd

But the variable cost is $10/km, therefore:

C = a + 10d

A 2.5 km trip cost $40, therefore:

40 = a + 10(2.5)

40 = a + 25

a = 40 - 25 = 15

The fixed cost is $15. Therefore the equation for cost is:

C = 15 + 10d  

b) C = 15 + 10d  

For 6.5 km ride:

C = 15 + 10(6.5) = 15 + 65 = 80

It would cost $80 for a 6.5 km drive.

Three more than nine times a number is at least five times the number.

Answer:

$14

Step-by-step explanation:

Marissa has a Master's degree and earns annual salary of $80,400.

She works 40 hours per week for 48 weeks per year.

Her sister has a Bachelor's degree and earns an average of $58,000 per year.

She works 40 hours per week for 52 weeks per years.

Marissa works for a total of 40 × 48 = 1920 hours a year.

Her hourly wage = [tex]\frac{80,400}{1920}[/tex] = $42 (rounded up to nearest dollar).

Her sister works for a total of 40 × 52 = 2080 hours

Her hourly wage = [tex]\frac{58,000}{2080}[/tex] = $28 (rounded up to nearest dollar)

So Marissa's hourly wage is $42 - $28 = $14 more than her sister's hourly wage.

Answer:

c .19

Step-by-step explanation:

Answer:

Rounding

Step-by-step explanation:

Rounding is a way to make an approximation to a given number by using fewer digits.

Answer:

Rounding

Step-by-step explanation:

A way to make a approximation to a given number by using fewer digits is called rounding

Answer:

For the reflection property, we have;

For reflection vertically, which is equivalent to reflection across the y-axis, we have;

Let the location or point of the pre-image before, reflection be (x, y), then, the location or point of the image after reflection will be (-x, y)

Therefore, the y-coordinates remains the same

Given that the range of the function is the value of f(x) or y from 1 - 50, which are the y-coordinate values of the function, it will not be affected by the vertical reflection of the function.

Step-by-step explanation: