The distance from Elena's chin to the top of her head is 150
mm in an image. For a U.S. passport photo, this
measurement needs to be between 25 mm and 35 mm.
Answers
The height of the image after being scaled down by 80% three times is 76.8mm, which is not within the required range for a U.S. passport photo.
What is scaling?Scaling is the process of increasing or decreasing the size of a picture by dividing or multiplying its dimensions. An picture is expanded when it is scaled up, and its size is decreased when it is scaled down. An picture is affected by scaling when its size and, consequently, appearance, are altered. An picture may become pixelated or fuzzy if it is scaled up or down excessively, and information may be lost if it is scaled down too much. The aspect ratio of an image—the proportion of its width to its height—can also be impacted by scaling. The picture could look stretched or squished if the aspect ratio is modified.
Given that the image is 150 mm in height.
Thus, 80% of the image is:
150mm x 0.8 = 120mm
The scaling is performed 3 times, thus:
120mm x 0.8 = 96mm
96mm x 0.8 = 76.8mm
Hence, the height of the image after being scaled down by 80% three times is 76.8mm, which is within the required range for a U.S. passport photo.
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The complete question is:
Related Questions
What is the standard form of the equation of the circle with the center and a radius of square 2 divided by 4
Answers
The standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.
The standard form of the equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
To use this formula, we first need to find the values of h, k, and r for the given circle with center and radius of square 2 divided by 4.
We know that the center of the circle is (h, k) = (2/4, -2/4) = (1/2, -1/2).
This means that h = 1/2 and k = -1/2.
The radius of the circle is r = square 2 divided by 4.
We can write this as r² = (square 2 divided by 4)² = 2/16 = 1/8.
Now we can substitute these values into the standard form equation to get:
(x - 1/2)² + (y + 1/2)² = 1/8
So the standard form of the equation of the circle with center and radius of square 2 divided by 4 is (x - 1/2)² + (y + 1/2)² = 1/8.
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Tonya's income is four times as much as Nora's income. Write an Algebraic expression representing Nora's income in terms of Tonya's
Answers
An algebraic expression for representing the Nora's income in form of Tonya's income is given by y = ( x / 4 ) .
Let us consider 'x' represents the Tonya's income.
And variable 'y' represents the Nora's income.
Tonya income is equal to four times of Nora's income.
This implies,
Nora's income is equal to one fourth times of Tonya's income.
⇒ y = ( x / 4 )
Rewrite an algebraic expression to represents Tonya's income in terms of Nora's income we have,
Simplify by multiplying both the sides of the algebraic expression by 4 we get,
⇒ x = 4y
Therefore, an algebraic expression to represents the Nora's income in terms of Tonya's income is equal to y = ( x / 4 ).
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Each prism has the same volume. Which has the least surface area? Explain or show your
reasoning.
Answers
This means that the cube will have less surface area than the rectangular prism.
What is surface area?Surface area is a measure of the total exposed area of an object, or the total area of its two-dimensional surface. It is a measurement of the total exposed area of a three-dimensional object and is used to calculate the amount of material needed to cover a given area. Surface area is commonly used in physics, chemistry, engineering, and mathematics.
The prism with the least surface area of the same volume is the cube. This is because a cube has equal length, width, and height, allowing for all of the sides to be equal in size. This means that the area of each side is the same and all six sides of the cube are congruent. This creates the least amount of surface area for a given volume, as compared to any other prism. To illustrate this, take a cube and a rectangular prism with the same volume. The cube will have 6 smaller sides, while the rectangular prism will have 5 larger sides and 1 smaller side. This means that the cube will have less surface area than the rectangular prism.
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Luca owns a food truck called The Muffin Man, and this week, he is making a specialty flavor by adding cheddar cheese and hot peppers to corn muffin mix. The mix comes in a box shaped like a rectangular prism with a volume of 60 cubic inches. The box has a length of 5 inches and a height of 8 inches
Answers
The width of the rectangular prism box is 1.5 inches if the length of the box is 5 inches and the height of the box is 8 inches.
The volume of a rectangular prism = 60 cubic inches.
The length of the box = 5 inches
The height of the box = 8 inches
To calculate the width of the rectangular prism, we can use the formula for volume:
Volume = length * width * height
Mathematically,
V = l*w*h
60 = 5w * 8
w = 60 / (5 * 8)
w = 1.5 inches
Therefore we can conclude that the width of the rectangular prism box is 1.5 inches.
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julio has $31.00 he earns half of that much mowing a lawn. How much money does he have in all?
Answers
Answer: $ 46.50
First divided 31 by 2
Which equals...
15.50
Then add 15.50 to 31.
46.50
The answer is $46.50
Subtract the following polynomials.
Answers
The subtraction of the polynomials (3.1x + 2.8z) - (4.3x - 1.2z) is -1.2x + 4x
How to subtract polynomials?A polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.
(3.1x + 2.8z) - (4.3x - 1.2z)
open parenthesis
3.1x + 2.8z - 4.3x + 1.2z
combine like terms
3.1x - 4.3x + 2.8z + 1.2z
-1.2x + 4x
Ultimately, -1.2x + 4x is the results of the subtraction of the polynomial.
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PLEASE HURRY !! I NEED HELP!!!
Answers
Answer:$10
Step-by-step explanation: We are given the ratio 9:1. Meaning for every 9 dollars he spends on healthy food, he can spend a dollar on snacks. If he intends on paying 100 dollars total, how much will he spend on snacks?
He would have spent 90 dollars on healthy food, and 10 dollars on snack food. Totaling 100 dollars.
the area of the figure
Answers
Answer:
432
Step-by-step explanation:
go 16x27 and that is your answer
Answer:
The area of the figureo will be 432
BECAUSE :-
You have to multiply 16 × 27 = 432
Hope Its Help You !!
Last year, 89 musicians attended a jazz camp, and 15 of them were bassists. What is the experimental probability that the first musician to sign up will be a bassist?
Answers
There is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.
What is experimental probability?Experimental probability is a type of probability that is based on actual observations or experiments. It is also called empirical probability
According to question:The ratio of the frequency of an occurrence to the total number of trials or observations is known as the experimental probability. In this case, the event is the first musician to sign up being a bassist.
Since there were 15 bassists out of 89 musicians who attended the camp last year, the experimental probability of the first musician to sign up being a bassist is:
Experimental probability = Number of bassists / Total number of musicians
Experimental probability = 15 / 89
Experimental probability = 0.1685 or approximately 16.85%
As a result, there is a roughly 16.85% chance that a bassist will be the first musician to register for the jazz camp.
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PLEASE HELP!
The sum of the roots of a monic quadratic is -6, and the product of its roots is 7. What is the quadratic?
Answer with a quadratic expression using the variable x such as x^2 + 10x + 20
Answers
Answer:
x^2 +6x+7
Step-by-step explanation:
for roots a and b
x^2 - (a+b)x + ab = (x-a)(x-b)
What is the value of k?
127.3°
Answers
Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of garden fertilizer costs $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square yard of her garden, how many cups of fertilizer does she need?
Answers
She needs 14 cups of fertiliser.
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.
Area = length * width
Find the area of the garden:
Area = 9 1/3 * 12
= 28/3 * 12
= 112 yards²
Find the amount of the fertiliser needed:
1 yards² = 1/8 cup
112 yards² = 1/8 * 112 = 14 cups
She needs 14 cups of fertiliser.
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Hi does anyone know how to do problem 2 and 3 on the worksheet?
Answers
2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.
3. The project was worth 97 points.
Define percentage?The denominator of a percentage (also known as a ratio or fraction) is always 100.
As a percentage, "%" is read as "percent" or "percentage" in this context.
You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.
Here we can see that Melissa has already $2500 in her savings account.
Total cost of house = $185000
Now for the loan she needs to have 20% of the mortgage as savings.
20% of $185000
20/100 × 185000
= 37000
Now she already has $2500.
So, the amount she need to save is= $37000 - $2500
= $34500
Now, total grade Brooke received = 87.
10 points have been taken off for her mistakes.
Total worth of test = 87+10 =97points.
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John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.
A pie uses 4 cups of apples and 3 cups of flour.
A cobbler uses 2 cups of apples and 3 cups of flour.
John has 16 cups of apples and 15 cups of flour.
When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.
Let x = the number of pies John makes.
Let y = the number of cobblers John makes.
Enter the four constraints into the graphing calculator.
What are the vertices of the feasible region?
Hint: input your answers from questions 3, 4, and 5 into Desmos to find the vertices.
Answers from questions 3, 4, and 5
[tex]4x+2y≤16\\3x+3y≤15\\x≥0\\y≤0[/tex]
Answers
Answer:huh,
Step-by-step explanation:I don’t understand you’re saying
The population of a country is initially two million people and is increasing at a rate of 4% per year. The country’s annual food supply is initially adequate for four million people and is increasing at a constant rate adequate for an additional 0.5 million people per year.If the country doubled its initial food supply and maintained a constant rate of increase in the
supply adequate for an additional 0.5 million people per year, would shortages still occur? In
approximately which year? . If the country doubled the rate at which its food supply increases, in addition to doubling its
initial food supply, would shortages still occur?
Answers
in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.
How to calculate the rate?
To answer these questions, we need to calculate the population and food supply at different points in time and compare them.
Let's first calculate the population after t years:
Population after t years = 2,000,000 * (1 + 4%) raise to the power t
And the food supply after t years:
Food supply after t years = 4,000,000 + 0.5 million * t
Now, let's answer the first question:
If the country doubled its initial food supply and maintained a constant rate of increase in the supply adequate for an additional 0.5 million people per year, would shortages still occur?
If the country doubles its initial food supply, the new food supply would be 8,000,000, and it would still increase at a rate of 0.5 million people per year. Let's calculate the year when the population exceeds the food supply:
Population = Food supply
2,000,000 * (1 + 4%)^t = 8,000,000 + 0.5 million * t
Solving for t, we get t ≈ 17.77 years.
So, in approximately 18 years, the population would exceed the food supply, even if the country doubles its initial food supply and maintains a constant rate of increase in the supply adequate for an additional 0.5 million people per year.
Now, let's answer the second question:
If the country doubled the rate at which its food supply increases, in addition to doubling its initial food supply, would shortages still occur?
If the country doubles the rate at which its food supply increases, the new rate would be 1 million people per year. Let's calculate the year when the population exceeds the food supply:
Population = Food supply
2,000,000 * (1 + 4%) raise to the power t = 16,000,000 + 1 million * t
Solving for t, we get t ≈ 21.96 years.
So, in approximately 22 years, the population would exceed the food supply, even if the country doubles its initial food supply and doubles the rate at which its food supply increases.
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Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor, hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:What is the sum of squares for the factor?
Answers
Remember, accurate interpretation of the results is essential for the success of Laura's dissertation.
The sum of squares for the factor in Laura Van Ertia's experiment can be found in the ANOVA display. ANOVA stands for Analysis of Variance, and it is a statistical method used to compare the means of two or more groups. The sum of squares is a measure of the variation within the data, and it helps to determine whether the differences between groups are statistically significant.
In the given question, you have not provided the actual ANOVA display, which is necessary to determine the sum of squares for the factor. The ANOVA table typically consists of columns for sources of variation (such as between groups and within groups), degrees of freedom, sum of squares, mean squares, F-ratio, and p-value. The sum of squares for the factor can be found in the 'sum of squares' column corresponding to the between-group variation row.
Once you have the ANOVA display, locate the sum of squares for the factor and use it in your analysis to understand the results of the experiment and its implications on the unified theory.
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a cable tv receiving dish is in the shape of a paraboloid of revolution. find the location of the receiver, which is placed at the focus, if the dish is 6 feet across at its opening and 2 feet deep.
Answers
the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).To find the location of the receiver, we first need to determine the equation of the paraboloid.
The standard equation for a paraboloid of revolution with a vertical axis is:
z = [tex](x^2 + y^2)[/tex]/(4f)
Where:
z is the height at any point (x, y) on the paraboloid.
x and y are the horizontal coordinates of the point.
f is the focal length of the paraboloid, which is half the depth of the dish.
In this case, the dish is 6 feet across at its opening, so the diameter is 6 feet and the radius is 3 feet. Therefore, the maximum value of x and y is 3 feet. The depth of the dish is given as 2 feet.
Using these values, we can solve for the focal length:
2 = [tex](3^2 + 3^2)[/tex]/(4f)
2 = 18/(4f)
f = 18/8 = 9/4 = 2.25 feet
Now that we have the value of f, we can find the location of the receiver, which is placed at the focus of the paraboloid. The focus is located at (0, 0, f).
Therefore, the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).
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The mirror has a frame. The diameter of the mirror with
the frame is 17 inches. To the nearest hundredth, what
is the area of the mirror with the frame?
Answers
Answer:
226.865 square inches.
Step-by-step explanation:
The equation for the area of a circle is [tex]\pi r^2[/tex]. Let's use 3.14 for pi. The radius can be found by dividing 17/2 = 8.5. 8.5 squared is 72.25. Finally, multiply by pi to get 226.865.
Factor
[tex]64h^3+216k^9[/tex]
Answers
Answer:
Factor 64h^3+216k^9
Step-by-step explanation:
The given expression is a sum of two terms:
[64h^3+216k^9
Notice that each term has a common factor. For the first term, the greatest common factor (GCF) is 64h^3, and for the second term, the GCF is 216k^9. So we can factor out these GCFs to get:
64h^3+216k^9 = 64h^3(1 + 3k^6)
This expression cannot be factored any further, so the final answer is:
64h^3+216k^9 = 64h^3(1 + 3k^6)
If you can, give me brainliest please!
during a one-month promotional campaign, tiger films gave either a free dvd rental or a 12-serving box of microwave popcorn to new members. it cost the store $1 for each free rental and $2 for each box of popcorn. a total of 89 new members were signed up and the store's cost for the incentives was $135. how many of each incentive were given away?
Answers
By using system of equations, there are 43 free DVD rentals and 46 boxes of microwave popcorn were given away during the promotional campaign.
Let's use the following variables
x: the number of free DVD rentals given away
y: the number of boxes of microwave popcorn given away
We can set up a system of equations to represent the given information:
x + y = 89 (total number of new members signed up)
1x + 2y = 135 (total cost of the incentives)
We can solve for x or y in the first equation and substitute into the second equation
x = 89 - y
1(89 - y) + 2y = 135
89 - y + 2y = 135
y = 46
Substituting y = 46 into the first equation:
x + 46 = 89
x = 43
Therefore, 43 free DVD rentals and 46 boxes of microwave popcorn.
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A house plan has concrete stairs leading down into the garage. How much concrete is needed to make the stairs? 3 ft 2 ft 8 ft 5 ft [? ] ft ³ 2 ft 8 ft 1 ft
Answers
The amount of concrete needed to make the stairs that leads to the garage is 64 cubic feet
Calculating the amount of concrete needed to make the stairs?The missing information is added as an attachment
The concrete needed to make the stairs is the volume of the stairs and this is calculated using
Volume = Base area * Height
Where
Base area = 3 * 2 + 2 * 1
Base area = 8
And
Height = 8
So, we have
Volume = 8 * 8
Evaluate
Volume = 64
Hence, the amount needed is 64 cubic feet
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PLEASE HELP AND PLEASE SHOW ALL STEPS IT WOULD BE VERY MUCH APPRECIATED!!
Answers
Answer:
I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!
Hope this helps!
a spinner with the colors red, yellow, blue, and green is spun. what is the theoretical probability of stopping on the color blue?
Answers
The theoretical probability of stopping on the color blue when spinning a spinner with the colors red, yellow, blue, and green is 25% or 1/4.
A spinner is a tool that spins around an arrow or a pointer that points towards the numbers, colors, or pictures around its edge. The probability of a certain event is the likelihood of that event occurring. In this case, we need to find the theoretical probability of stopping on the color blue.
We have four colors on the spinner, so the probability of stopping on blue can be found using the formula of theoretical probability.
The formula for theoretical probability is:
number of favorable outcomes / total number of outcomes.
Since we have four colors on the spinner, the total number of outcomes is 4. The favorable outcomes are the number of times the spinner will land on blue, which is 1.
So the probability of stopping on the color blue can be calculated as follows:
1 (favorable outcome) / 4 (total number of outcomes) = 1/4
So, the theoretical probability of stopping on the color blue is 1/4. This is because there is an equal chance of landing on any of the four colors, and since there are four colors, each has a 25% chance of being selected.
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caden is 208 miles away from rahquez. they are traveling towards each other. if rahquez travels 6 mph faster than caden and they meet after 8 hours, how fast was each traveling?
Answers
Caden's speed is 10 mph and Rahquez's speed is 16 mph faster, which is 16+6 = 32 mph
Let's use the formula: distance = rate x time
Since Caden and Rahquez are traveling towards each other, their combined distance will be 208 miles. Let's call Caden's speed "x" and Rahquez's speed "x+6", since Rahquez is traveling 6 mph faster than Caden.
Using the formula above, we can set up the equation:
208 = (x + x + 6) * 8
Simplifying, we get:
208 = (2x + 6) * 8
208 = 16x + 48
160 = 16x
x = 10
Therefore, Caden's speed is 10 mph and Rahquez's speed is 32 mph.
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An angle measures 62° more than the measure of its complementary angle. What is the measure of each angle?
Answers
one angle measures 76°, and
its complementary angle measures 90° - 76° = 14°.
Step by step explanation:
Two angles are complementary if the sum of their measures is 90°. Let x be the measure of one angle, then the measure of its complementary angle is 90° - x.
The problem states that one angle measures 62° more than the measure of its complementary angle, so we can set up the following equation:
x = (90° - x) + 62°
Simplifying and solving for x:
x = 90° - x + 62°
2x = 152°
x = 76°
Therefore, one angle measures 76°, and
its complementary angle measures 90° - 76° = 14°.
for the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the equations of the shear and bending-moment curves. 5.1
Answers
Bending moment curve equation below point A will be:
M = 15x - 3x² for 0 ≤ x ≤ b
Determination of shear and bending moment curves.
For the beam and loading shown, we can do the following:
Equation of shear curve (above point A):V = RA - w.x
For x = a,V = RA - w.a
For x = b,V = RA - w.b
Since the loading is symmetric, RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15 - 6a for a ≤ x ≤ b
Equation of shear curve (below point A):
V = RA - w.x
For x = 0,V = RA - w.0RA = w(a + b) / 2= (6 * 5) / 2= 15kNV = 15k for 0 ≤ x ≤ a
The shear curve equation becomes;
V = 15k for 0 ≤ x ≤ a
V = 15 - 6a for a ≤ x ≤ b
Equation of bending moment curve (above point A):
M = RAx - ½w.x²For 0 ≤ x ≤ a,
M = 15x - ½(6x²) = 15x - 3x²For a ≤ x ≤ b,
M = 15x - 6a(x - a) - ½(6x²)= 15x - 6ax + 6a² - 3x²
The bending moment curve equation above point A becomes:
M = 15x - 3x² for 0 ≤ x ≤ a
M = 15x - 6ax + 6a² - 3x² for a ≤ x ≤ b
Equation of bending moment curve (below point A):
M = RAx - ½w.x²For 0 ≤ x ≤ b,
M = 15x - ½(6x²) = 15x - 3x²
The bending moment curve equation below point A becomes;
M = 15x - 3x² for 0 ≤ x ≤ b
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PLEASE HELP MARKING BRAINLEIST JUST ANSWER ASAP AND BE CORRECT
Answers
Answer:
4t - 22
Step-by-step explanation:
To find:-
Perimeter of the given figure.Answer:-
To find out the perimeter we can simply add all the side lengths of the given figure. Since the given figure here is a rectangle, we can add up all the four sides to find the perimeter.
The four sides given to us are t-6 , t-5 , t-6 and t-5 .
Hence the perimeter of the quadrilateral would be ,
Perimeter = t-5 + t-6 + t-5 + t-6
Perimeter = 4t - 10 - 12
Perimeter = 4t - 22
Hence the perimeter of the given figure us 4t - 22.
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{$\sf\large t-5$}\multiput(-1.4,1.4)(6.8,0){2}{$\sf\large t-6$}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture} [/tex]
a 336-m long fence is to be cut into pieces to make three enclosures, each of which is square. how should the fence be cut up in order to minimize the total area enclosed by the fence?
Answers
The fence ought to be cut into 12 pieces, every one of length 28 m, to make three squares, each with a side length of 28 m. This will limit the total area encased by the fence.
To limit the total area encased by the fence, the three squares ought to have equivalent areas. Let x be the length of each side of the squares. Then the perimeter of each square is 4x, and the total length of the fence is 3(4x) = 12x. Since the total length of the fence is given to be 336 m, we have:
12x = 336
Addressing for x, we get:
x = 28
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Which of these is a pythagorean triple?
Responses
9, 40, 41
7, 26, 89
1, 2, 3
36, 48, 62
Answers
Answer:
The first one
Step-by-step explanation:
Use the pythagoras theorem=a ^2+b^2 =c^2
Use a is 9 b is 40 because the largest value is always the hypotenuse and the hypotenuse is always c.
so you do 9 squared add 40 squared to find c squared.
Square root the answer and you get 41 so it is a pythagoras triple
Tammy said the product of 5/7
and 1 1/4
is 1 3/4
.
How can you tell that this answer is wrong?
Answers
Answer:
Step-by-step explanation:
To determine if Tammy's answer of 1 3/4 for the product of 5/7 and 1 1/4 is correct, we can perform the multiplication ourselves.
First, we need to convert 1 1/4 to an improper fraction:
1 1/4 = (4 x 1 + 1)/4 = 5/4
Then, we can multiply the fractions:
5/7 x 5/4 = 25/28
As we can see, 25/28 is not equal to 1 3/4. Therefore, Tammy's answer of 1 3/4 is incorrect. The correct answer is 25/28, which is an improper fraction. We can also express this as a mixed number: 0 25/28.