Final answer:
The number of infected people can be determined by doubling the number of infected people for each day that passes.
Explanation:
The number of infected people can be determined by doubling the number of infected people for each day that passes. Let's say that on the first day, there is 1 infected person. On the second day, the number of infected people doubles to 2. On the third day, it doubles again to 4, and so on. We can represent this pattern with an exponential equation: y = 2ˣ, where y is the number of infected people and x is the number of days that have passed.
For example, if 5 days have passed, we can plug in x = 5 into the equation: y = 2⁵ = 32. So, there would be 32 infected people.
Ed spoke to his cousin in Australia, who told him it was 28 degrees C that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit. What is the temperature in degrees Fahrenheit? Use the formula, F=9/5 C+32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
A)48 Degrees F
B)50 Degrees F
C)82 Degrees F
D)108 Degrees F
Answer:
C)82 Degrees F
Step-by-step explanation:
The formula we have is F = 9/5C + 32. Substituting the value for Celsius, 28, into the formula,
F = 9/5(28) + 32
F = 1.8(28) + 32
F = 50.4 + 32
F = 82.4
To the nearest whole number, this is 82 degrees.
The converted temperature in degrees Fahrenheit is 82 Degrees F
What is temperature conversion?Temperature conversion is the process of changing the value of temperature from one unit to another. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc.
Given that, the temperature in Australia, is 28 degrees C, Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit.
We know that,
The formula to convert the temperature into Fahrenheit is:
F = 9/5C + 32.
Substituting the value for Celsius, 28, into the formula,
F = 9/5(28) + 32
F = 1.8(28) + 32
F = 50.4 + 32
F = 82.4
Hence, the converted temperature in degrees Fahrenheit is 82 Degrees F
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A certain human red blood cell has a diameter of 0.000007 meters.Write an expression that represents this diameter, in meters in scientific notation. Equation
Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost?
A 6- foot tall man is standing near a tree on level ground as shown if tha man is shadow is 4 feet how many feet tall man
Simon sold bottles of water at the marathon on Saturday for $0.75 per bottle. He sold 43 bottles. How much money did he earn?
h + j (j - h); use h=2, and j=6
Hello, I need help with my geometry homework. It has to do with simplifying radicals and sin,cos, and tan. Thank you for your time and consideration.
Explain and justify which plan would best suit her needs.
a.
Samantha should not switch to the interval use plan, which would cost $126.00 more per month.
b.
Samantha should switch to the interval use plan, which would save her $126.00 per month.
c.
Samantha should switch to the interval use plan, which would save her $35.50 per month.
d.
Samantha should not switch to the interval use plan, which would cost $35.50 more per month.
Answer:
C
Step-by-step explanation:
Edge 2021
How many kiloliters are in 32,500 centiliters
A house blueprint has a scale of 1 in. : 4 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint. Living room Kitchen Office Bedroom Bedroom Bathroom Actual l w (ft.) 20 8 16 16 8 16 8 16 20 20 6 8 Blueprint l w (in.)
The dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).
Given information:
A house blueprint has a scale of 1 in : 4 ft.
The length and width of each room in the actual house are shown in the table below:
Living room Kitchen Office Bedroom Bedroom Bathroom
Length 20 16 8 8 20 6
width 8 16 16 16 20 8
The scale factor is of 1 in: 4 ft. So, 4 ft of actual length is equivalent to 1 inch in the blueprint.
So, the length and width of the different rooms in te house in the blueprint will be,
Living room Kitchen Office Bedroom Bedroom Bathroom
Length(in) 5 4 2 2 5 1.5
width(in) 2 4 4 4 5 2
Therefore, the dimensions of the rooms in the blueprint will be Living room ([tex]5\times2[/tex]), Kitchen ([tex]4\times4[/tex]), Office ([tex]2\times4[/tex]), Bedroom ([tex]2\times4[/tex]), Bedroom ([tex]5\times5[/tex]), Bathroom ([tex]1.5\times2[/tex]).
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Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many calories would she burn by exercising for 29 minutes?
Answer:
319 cal/min.Step-by-step explanation:
The table is attached.
You can observe in the table that there's no a value for 29 minutes.
That means we need to find the linear expression and then calculate the answer.
First, we need to find the ratio of change using two pairs of the given table and the following formula, (20,220) and (40,440) are the points
[tex]m=\frac{440-220}{40-20}=\frac{220}{20} =11[/tex]
The ratio of change states that Jane burns 11 calories per minute. So, after 29 minutes, she will burn
[tex]11cal(29min)=319 cal/min[/tex]
Which expression is equivalent to 0.2n+2n+4
Answer: The expression that is quivalent to to 0.2n + 2n + 4 is
2.2n +4
Hope this helped! -mojo jojo x
Max has 3/4 of a pitcher filled with fertilizer. If it takes 1/8 of a pitcher of fertilizer to cover a rose garden, how many rose gardens can Max cover?
In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.
Solution:
we are given that
In the image, shape ABCD is similar to shape WXYZ.
we have been asked to find the measure of side ZW.
As we know that when two shapes are similar then the ratios of their corresponding sides are equal.
So we can write
[tex] \frac{zw}{6}= \frac{18}{24}\\ \\ ZW=6*\frac{18}{24}\\ \\ ZW=\frac{18}{4}\\ \\ ZW=4.5\\ [/tex]
Hence ZW=4.5 Inches.
Answer:
4.5
Explanation:
Got it right on Imagine math.
What value would make lines l and m parallel
A right triangle ABC is shown below:
The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide.
Question 1
7.5 meters
9.5 meters
19.1 meters
30.0 meters
Question 2 (2 points)
8.64 inches
5.94 inches
Question 3 (2 points) A pond is shaped like a circle. The diameter of the pond is 100 yards.Mary ran along the edge of the pond to the opposite side.Chuck swam straight across the pond to the opposite side.
Which statement best compares the distances Mary and Chuck moved?
Question 3 options:Mary ran about 6 times the distance Chuck swam.Mary ran about the same distance as Chuck swam.Mary ran about 3 times the distance Chuck swam. Mary ran about 1.5 times the distance Chuck swam. SaveThe circumference of a circular tabletop is 72 π π inches. What is the area, in square inches, of the tabletop?
Question 5 options:1296144π{36π{5185 πTo make a monster appear large in a movie, a human actor wore a costume and walked through a scale model of a city. The scale used was 1 inch = 15 feet. The actor is 60 inches tall. How tall does the monster appear in the movie?
how do i solve log (×)6=4
A Metal worker traced a triangular piece of sheet metal on a coordinate plane as shown
Helen's Shop is 60 meters wide and 80 meters long. The parking lot in front of Helen's Shop is twice as long as it is wide and is 50 meters wide. What is the sum of the area of Helen's Shop and the parking lot? _____ square meters
a jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30 east of north. how far is he from his house after running 8 miles?
Final answer:
The jogger is approximately 7 miles from his house after running 3 miles east and then 5 miles at a 30° angle east of north, calculated using trigonometric functions and the Pythagorean theorem.
Explanation:
The question asks how far a jogger is from his house after running a total of 8 miles, initially 3 miles due east and then 5 miles at a 30° angle east of north. To solve this, we can use trigonometric functions to find the resultant displacement. The first leg of the journey is straightforward, 3 miles directly east. The second leg can be broken into its northward and eastward components using sine and cosine functions, with the length of the leg being the hypotenuse.
Northward component: 5 miles × cos(30°) = 4.33 miles
Eastward component: 3 miles (initial) + (5 miles × sin(30°)) = 3 + 2.5 = 5.5 miles
To find the total displacement, we calculate the straight-line distance from the starting point to the end point using the Pythagorean theorem.
Displacement = √(northward component² + eastward component²) = √(4.33² + 5.5²) = √(18.7489 + 30.25) = √(48.9989) = 7 miles approximately.
Therefore, the jogger is approximately 7 miles from his house.
To find the distance and direction from the starting point after the jogger's two separate runs, we apply vector addition by decomposing the second leg into its components with trigonometry and then use the Pythagorean theorem and arctangent function to find the resultant magnitude and direction.
Explanation:The question involves determining the distance from the starting point after a two-leg journey with given directions and distances. To solve this, we need to apply principles of vector addition to combine the two displacements into one resultant displacement. The first displacement is due east, and can be represented as a straight line on a horizontal axis. The second displacement, at a 30° angle east of north, requires us to decompose it into its northward and eastward components. These components are found using trigonometry: by multiplying the distance by the cosine (for the eastward part) and sine (for the northward part) of the angle.
After computing the respective components of the second displacement, we add both eastward displacements together and both northward displacements together to find the total displacement in the east and north directions. The final step is to use the Pythagorean theorem to determine the magnitude of the resultant vector, and trigonometry (specifically, the arctangent function) to find the direction of the resultant vector from the origin, which provides the required distance and direction from the jogger's house after running.
A bookcase measures 13 feet wide and 24 feet tall wat wood the bookcases measurements be on the scale drawing using the scale 3cm:2 ft
Measurement of the bookcase on the scale drawing using the scale 3cm:2 feet is width =19.5 cm and height = 36 cm
What is Scaling?
Scaling an object means multiplying every linear dimension of it by the same factor
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
Width of the bookcase = 13 feet
Height of the bookcase = 24 feet
Given scale is 3cm : 2 feet
Therefore for 1 feet = 1.5 cm
Then,
Width of the bookcase = 13×1.5= 19.5 cm
Height of the bookcase = 24×1.5= 36 cm
Hence, the measurements of the bookcase after scaling is width =19.5 cm and height = 36 cm
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match the following Match the inequality to its graph. 20 points and brainiest.
The following inequality are matched with their graphical solution;
6. 4y + 3 ≤ y + 6. graph C
7. -2y > 2. graph A
8. y/3 < -1. graph D
9. 3y < 2y + 3. graph B
How to solve inequality?6.
4y + 3 ≤ y + 6
Combine like terms
4y - y ≤ 6 - 3
3y ≤ 3
Divide both sides by 3
y ≤ 3/3
y ≤ 1
7.
-2y > 2
Divide both sides by -2
y < 2/-2
y < -1
8.
y/3 < -1
cross product
y < -1 × 3
y < -3
9.
3y < 2y + 3
Subtract 2y from both sides
3y - 2y < 3
y < 3
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dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, jake. while playing, Jake lost two marbles and has only 7 marbles at present. find how many marbles did Dalai have in all
Answer:
Dalai have 45 marbles.
Step-by-step explanation:
Consider the provided information.
Dalai bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. while playing, Jake lost two marbles and has only 7 marbles at present.
Let x is the number of marbles Dalai have.
She divide x number of marbles into 5 equal part (Four of friend and her brother)
That means each of them have [tex]\frac{x}{5}[/tex] marbles.
Jake lost two marbles out of [tex]\frac{x}{5}[/tex] and now he has only 7 marbles,
This can be represented as:
[tex]\frac{x}{5}-2=7[/tex]
Solve the equation for x.
[tex]\frac{x}{5}=7+2[/tex]
[tex]\frac{x}{5}=9[/tex]
[tex]x=45[/tex]
Hence, Dalai have 45 marbles.
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Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice, how much sugar should she use?
How can I write an expression for: susan has 10 apples and 6 oranges. How many pieces of fruit does she have?
At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The average age of the women is 28 years.
What is the average age of all the members of the health club?
Enter your answer as a decimal in the box.
_ years
Answer:
The average age is 30.4.
Step-by-step explanation:
Can someone please help me with number 35
Using the properties of exponents, the expression is simplified as (4/3)x⁵y².
What is the simplification of the expression?To simplify the given expression, we need to use properties of exponents
Taking the numerator;
[(2x³y)⁴] = (2⁴)(x³)⁴(y)⁴ = 16x¹²y⁴
Next, let's simplify the denominator:
3x²(4x⁵y²) = 3 * 4 * x² * x⁵ * y² = 12x⁷y²
This can be expressed as;
[(2x³y)⁴] / [3x²(4x⁵y²)] = (16x¹²y⁴) / (12x⁷y²)
Take the common factors and divide both of them;
(16x¹²y⁴) / (12x⁷y²) = (4/3)(x¹² / x⁷)(y⁴ / y²) = (4/3)x¹²⁻⁷y⁴⁻² = (4/3)x⁵y²
Therefore, the simplified expression is (4/3)x⁵y².
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bailey and ella are employees for a company. bailey is making a salary or $22,776. bailey is earning a salary this is 48% lower that the salary of ella. what salary is ella earning?