Answer: [tex]945\ pixels[/tex]
Step-by-step explanation:
We know that the original photo was 800 pixels wide and the new photo will be 1,260 pixels wide. Therefore, we can find the scale factor.
Divide the width of the new photo by the width of the original photo. Then the scale factor is:
[tex]scale\ factor=\frac{1,260\ pixels}{800\ pixels}\\\\scale\ factor=\frac{63}{40}[/tex]
The final step is to multiply the height of the original photo by the scale factor calculated.
Therefore the height of the new photo will be:
[tex]h_{new}=(600\ pixels)(\frac{63}{40})\\\\h_{new}=945\ pixels[/tex]
Answer:
945 pixels.Step-by-step explanation:
Givens
The original photo dimensions are (800 wide x 600 high )pixelsThe new photo is 1,260 pixels wide.First, we need to find the scale factor by dividing
[tex]s=\frac{1260}{800}=1.575[/tex]
Then, we multiply the height by the scale factor
[tex]600 \times 1.575 = 945[/tex]
Therefore, the new height is 945 pixels.
find an equation of the line passing through the given points. Use function notation to write the equation (-4,-5) and (-8,-6)
A ball is thrown vertically in the air with a velocity of 100ft/s. Use the projectile formula h=−16t2+v0t to determine at what time(s), in seconds, the ball is at a height of 150ft
Answer:
Step-by-step explanation:
2.5, 3.8
To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve the quadratic equation -16t^2 + 100t = 150. By using the quadratic formula, we find two possible values for t: t = 3.75 seconds and t = 2.5 seconds.
Explanation:The equation given in the question is h = -16t2 + v0t, where h is the height, t is the time, and v0 is the initial velocity. To determine the time(s) when the ball is at a height of 150ft, we can substitute h = 150 and solve for t.
150 = -16t2 + 100t
Rearranging the equation, we get 16t2 - 100t + 150 = 0. This is a quadratic equation which can be solved using the quadratic formula.
The quadratic formula is t = (-b ± √(b2 - 4ac)) / (2a). In this equation, a = 16, b = -100, and c = 150.
Plugging in these values, we get t = (100 ± √(1002 - 4 * 16 * 150)) / (2 * 16).
Simplifying further, we have t = (100 ± √(10000 - 9600)) / 32.
This simplifies to t = (100 ± √400) / 32.
Taking the square root, we get t = (100 ± 20) / 32.
This gives us two possible values for t: t = (100 + 20) / 32 = 120/32 = 3.75 and t = (100 - 20) / 32 = 80/32 = 2.5.
Therefore, the ball is at a height of 150ft at two times: t = 3.75 seconds and t = 2.5 seconds.
What is the midpoint of EC?
Answer:
(t+p,r)
Step-by-step explanation:
To find midpoint you average the x's and averages the y's of the endpoints.
So x-coordinate (2p+2t)/2 =p+t
So y-coordinate (2r+0)/2=2r/2=r
So midpoint (p+t, r)
Answer:
The correct answer is first option
(t + p, r)
Step-by-step explanation:
Points to remember
midpoint formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]
To find the midpoint of EC
Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)
Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]
= (2(t + p)/2 , 2r/2)
= (t + p, r)
Therefore midpoint of EC = (t + p, r)
The correct answer is first option
The students at Midtown Middle school sold flowers as a fundraiser in September and October. In October, they charged $1.50 for each flower. The October price was a 20% increase of the September price.
Part A
What was the price of the flowers in September?
Enter your answer in the box.
$
Part B
The seventh-grade class earned 40% of the selling price of each flower.
In September, they sold 900 flowers.
In October, they sold 700 flowers.
Select a choice from each drop-down menu to make a true statement.
The seventh-grade class earned more money in by
Save
Answer:
[tex]\boxed{\text{A. \$1.25; B. September by 4.7 \%}}[/tex]
Step-by-step explanation:
Part A. Price of flowers in September
Let x = price of flowers in September.
Then 1.2x = price of flowers in October
1.2x = $1.50
[tex]x = \dfrac{\$1.50 }{1.20} = \$1.25\\\\\text{The price of flowers in September was }\boxed{\textbf{\$1.25}}[/tex]
Part B. Seventh-grade class
40 % of September price = 0.40 × $1.25 = $0.50
40 % of October price = 0.40 × $1.50 = $0.60
In September
[tex]\text{Earnings} = \text{900 flowers} \times \dfrac{\$0.50}{\text{1 flower} } = \$450[/tex]
In October,
[tex]\text{Earnings} = \text{700 flowers} \times \dfrac{\$0.60}{\text{1 flower} } = \$430\\\\\text{Difference} = \$450 - \$430 = \$20[/tex]
The class earned $20 more in September.
Compared with October earnings,
[tex]\text{\% Difference} = \dfrac{\text{Difference}}{\text{October earnings}} \times 100\%\\\\\text{\% Difference} = \dfrac{\$20}{\$430} \times 100\% = 4.7 \%\\\\\text{The class made more money in } \boxed{\textbf{September}} \text{ by } {\boxed{\mathbf{4.7 \%}}[/tex]
The answer above me deserves brainliest !! They did so well!!!
The perimeter of a rectangle is greater than or equal to 74 meters.
If the length is 25 meters, the minimum width of the rectangle is ______ meters.
Answer:
12
Step-by-step explanation:
First, multiply the length by two then, subtract the total by the sum, last divide by two.
(25 * 2)
(74 - 50)
(24/2)
Answer = 12
Answer:
w>/=12
Step-by-step explanation:
2(25)+2w>/= 74
50+2w>/=74
-50 -50
2w>/=24/2
w>/=12
Simplify completely quantity 6 x squared minus 54 x plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus
Answer:
We can easily simplify the expression by using a computational tool
The expression is
"6 x squared minus 54 x plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus "
Please, see attached images below, for a full explanation
F(x)=x/2-2 and g(x)=2x^2+x-3 find (f+g)(x)
Answer:
[tex]\large\boxed{(f+g)(x)=2x^2+\dfrac{3}{2}x-5}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=\dfrac{x}{2}-2=\dfrac{1}{2}x-2\\\\g(x)=2x^2+x-3\\\\(f+g)(x)=\left(\dfrac{1}{2}x-2\right)+(2x^2+x-3)\\\\=\dfrac{1}{2}x-2+2x^2+x-3\qquad\text{combine like terms}\\\\=2x^2+\left(\dfrac{1}{2}x+x\right)+(-2-3)\\\\=2x^2+1\dfrac{1}{2}x-5\\\\=2x^2+\dfrac{3}{2}x-5[/tex]
NEED HELP 10 POINTS
Answer:
1/28
Step-by-step explanation:
Before picking 1st song
Total songs = 8
Rock songs = 2
Probability of picking a rock song as the first song,
= 2 rock songs out of 8 total songs remaining
= 2/8
After picking 1st song
Total songs left over = 7
Rock songs left over = 1
Hence, Probability of picking a rock song as the second song,
= 1 rock song out of 7 total songs remaining
= 1/7
Probability of picking 2 consecutive rock songs,
= [tex]\frac{2}{8}[/tex] x [tex]\frac{1}{7}[/tex]
= [tex]\frac{1}{28}[/tex]
Are these fractions equivalent or nonequivalent?
3a/4b 9a/12b
Click on the correct answer.
nonequivalent
equivalent
Answer:
3a/4b and 9a/12b are equivalent
Step-by-step explanation:
3a/4b is multiplied by 3/3 to get 9a/12b
Answer:
equivilent
Step-by-step explanation:
it is equivalent because if divide 9a and 12b both by 3, it equals 3a/4b. Both fractions have the same lowest common denominator.
Hope this helps!
90 points?with explanation
A transversal is a line that passes through two lines (as shown above) on the same plane.
N is the transversal since it passes through line L and M at two distinct points.
Answer:
A transversal is a line that passes through two lines (as shown above) on the same plane.
N is the transversal since it passes through line L and M at two distinct points.
Step-by-step explanation:
What is the slope of the line trated in the picture below?
Note: One scale is equivalent to 1.
11
Answer:
-2 = m
Step-by-step explanation:
y = -2x + 2; your y-intercept is [0, 2] and your x-intercept is [1, 0] (not all the time your x-intercept will be an endpoint). Simply do rise\run until you hit another endpoint. As you can see, you go two blocks south then go one block over east. Do you understand?
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s earning per hour for gardening and office work?
She earned $3 more per hour for office work than for gardening.
She earned $4 more per hour for office work than for gardening.
She earned $3 more per hour for gardening than for office work.
She earned $4 more per hour for gardening than for office work.
Hello There!
First we have to see how much does Gigi earns per hour.
For gardening, we are going to divide.
65 ÷ 5 ≈ 13
Gigi earns $13 for gardening for only 1 hour.
Second, we have to see how much Gigi earns per hour for office work.
We will divide
90 ÷ 9 ≈ 10
Now, we can see that Gigi earned $3 more per hour for gardening than for office work.
What is the value of y in the equation 3 (3y - 9) = 0
Answer:
y=3
Step-by-step explanation:
3 (3y - 9) = 0
Divide each side by 3
3/3 (3y - 9) = 0/3
3y -9 = 0
Add 9 to each side
3y -9+9 = 0+9
3y =9
Divide by 3
3y/3 = 9/3
y =3
Hello
Good Luck
Goodbye ♥
Question 9 (1 point)
32% of 300 is what number?
Hello There!
32% of 300 is 96
Work shown in image attached.
Answer:
96
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 300 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 300 is 100%, so we can write it down as 300=100%.
4. We know, that x is 32% of the output value, so we can write it down as x=32%.
5. Now we have two simple equations:
1) 300=100%
2) x=32%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
300/x=100%/32%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 32% of 300
300/x=100/32
(300/x)*x=(100/32)*x - we multiply both sides of the equation by x
300=3.125*x - we divide both sides of the equation by (3.125) to get x
300/3.125=x
96=x
x=96
now we have:
32% of 300=96
A circle has a circumference of 28.36 units what is the diameter of the circle
Answer:
d= 9.032 units
Step-by-step explanation:
Given
[tex]Circumference = 28.36[/tex]
We will use the formula for circumference of a circle to find it's radius and then diameter will be found using radius.
So,
[tex]C=2\pi r\\Putting\ the\ value\ of\ \pi and \C\\28.36 = 2 * 3.14 *r\\28.36=6.28* r\\r=\frac{28.36}{6.28}\\ r=4.516\ units[/tex]
Now to find the diameter:
d = r*2
d = 4.516*2
d= 9.032 units
Answer:
The diameter of the circle is 9.03 units
Step-by-step explanation:
The formula for calculating the circumference of a circle is [tex]C=\pi d[/tex].
From the question, the diameter of the circle is 28.36 units.
Since the circumference is rounded to the nearest hundredth, we substitute [tex]\pi=3.14[/tex] and [tex]C=28.36[/tex] into the formula and solve for d.
[tex]\implies 28.36=3.14d[/tex]
Divide both sides by 3.14
[tex]\implies \frac{28.36}{3.14}=\frac{3.14d}{3.14}[/tex]
[tex]\implies 9.03=d[/tex].
Hence the diameter of the circle is 9.03 units to the nearest hundredths
please help! ill mark you as brain if your right!!!!
Answer:
SA = 1099 square inches.
Step-by-step explanation:
Just plug into the formula
SA = 2pir^2 + 2pi r h where pi = 3.14, r = 5 and h = 30
SA = 2 (3.14) (5^2) + 2 (3.14)(5)(30)
SA = 157 + 942
SA = 1099 square inches.
Answer:
1099.56 or 1099.6 dependong on what you wanna round to
Step-by-step explanation:
2×pi×5^2+2×pi×5×30
In a group of 100 people, 70 have a DVD player, 60 have a CD
player and 20 have neither. How many have both?
Final answer:
By using the principle of inclusion-exclusion, we can find that 50 people have both a DVD player and a CD player in a group of 100 people.
Explanation:
To find out how many people have both a DVD player and a CD player, we can use the principle of inclusion-exclusion.
According to the problem, there are 100 people in the group. Out of these, 70 have a DVD player, 60 have a CD player, and 20 have neither.
We can begin by subtracting those who have neither from the total to find out how many people have at least one of the devices:
100 - 20 = 80 people have at least one device.
Now, if we add the number of people who have a DVD player to the number of people who have a CD player, we would double count those who have both. So, we subtract the total number who have at least one device from this sum:
70 (DVD owners) + 60 (CD owners) - 80 (at least one device) = 50 people who have both a DVD and CD player.
Use the equation and type the ordered-pairs. y = 2 ^x
Find the ordered pairs for y = 2ˣ by substituting various values of x into the equation, calculate y, and list the pairs. These can then be plotted on a graph to show the exponential relationship.
To determine the ordered pairs for the given function y = 2ˣ, you will perform substitutions for x with various values and calculate the corresponding y values. Once this is done, you can plot these points on a graph to visualize the function.
Choose a range of x-values (for example, -3, -2, -1, 0, 1, 2, 3).
Calculate the corresponding y-values using the equation y = 2ˣ.
List the ordered pairs (x,y).
Plot each pair on a coordinate graph.
Connect the points to represent the exponential graph.
Remember, shifting an exponential graph parallel to the x-axis can be done by adjusting the exponent's value.
What is the slope of the line passing through the points (3, 3) and (5, 7) ?
1. 2
2. 1/2
3. −2
4. −1/2
Answer:
1.) 2
Step-by-step explanation:
We have points (3,3) and (5,7) on the line.
Slope of a line = change in y ÷ change in x
i.e Slope = [tex]\frac{7 - 3}{5 - 3}[/tex] = 2
The slope of the line passing through the points (3, 3) and (5, 7) is 2. Therefore, the correct answer is option 1.
The given coordinate points are (3, 3) and (5, 7).
The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).
Here, slope = (7-3)/(5-3)
= 4/2
= 2
So, the slope is 2.
Therefore, the correct answer is option 1.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
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Which is the correct first step in finding the area of the base of a cylinder with a volume of 26x cubic meters and a height of 6.5 meters?
v=bh 6.5=b(26x)
v=bh v=26pi+(6.5)
v=bh v=26pi(6.5)
v=bh 26pi=b(6.5)
Answer:
[tex]\large\boxed{V=Bh,\ 26x=B(6.5)\to B=4x}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a volume of cylinder:}\\\\V=Bh\\\\\text{We have}\ V=26x\ m^3\ \text{and}\ h=6.5\ m.\\\\\text{Substitute:}\\\\26x=B(6.5)\qquad\text{divide both sides by 6.5}\\\\\dfrac{26x}{6.5}=B\to B=4x[/tex]
ABCD ~ EFGH
z=?
Please help me!!!
Answer:
z = 110°
Step-by-step explanation:
Since the figures are similar, then corresponding angles are congruent, thus
∠H = ∠D, that is
z = 110°
Since the figures are similar, then corresponding angles are congruent, thus
ABCD ~ EFGH
∠H = ∠D, that is
z = 110°.
What is Similar angle.Two angles in one triangle are equal to two angles in another triangle, then the triangles are similar
What is Congruent anglesCongruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles. They are seen everywhere, for example, in equilateral triangles, isosceles triangles, or when a transversal intersects two parallel lines
What is Congruent Angles TheoremThere are many theorems based on congruent angles. Using the congruent angles theorem we can easily find out whether two angles are congruent or not. Those theorems are listed below:
Vertical angles theoremCorresponding angles theoremAlternate angles theoremCongruent supplements theoremCongruent complements theoremTo learn more about the Congruent angle, refer
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(Minimum or maximum),
(4, 8, 7, 23.)
Answer:
minimum value of 7
Step-by-step explanation:
It is open up so it has a minimum
The minimum value is the lowest y
So we first must find the x that the point happens at which is -b/(2a)
So -(-8)/(2*1)=8/2=4
Now to find the y use y=x^2-8x+23
y=4^2-8(4)+23
y=16-32+23
y=-16+23
y=7 (lowest y-minimum value is 7)
4x - 22 = 62 + 2x
15 points
4x-22=62+2x
4x-2x=62+22
2x=84
x=84/2= 42
x= 42 is the answer
[tex]x=42[/tex]
Step-by-step explanation:Move the variables to one side and the constants to the other. [tex]4x-2x=62+22[/tex]
Combine the variables. [tex]2x=62+22[/tex]
Combine the constants. [tex]2x=84[/tex]
Divide both sides by 2. [tex]x=42[/tex]
20 Points!!
Solve 2(4 x + 3) < 5 x + 21.
A) { x | x < 9}
B) { x | x > -5}
C) { x | x > -9}
D) { x | x < 5}
Answer:
D
Step-by-step explanation:
8x-5x<21-6
x<15÷3
x<5
Answer:
D) { x | x < 5}
Step-by-step explanation:
2(4 x + 3) < 5 x + 21
Distribute
8x +6 < 5x+21
Subtract 5x from each side
8x-5x+6 < 5x-5x+21
3x+6 < 21
Subtract 6 from each side
3x+6-6<21-6
3x <15
Divide each side by 3
3x/3 <15/3
x < 5
help pleaseeeee picture attached
Answer:
The diagonal of the base is 4√5 centimeters.
The area of a base is 40 square centimeters.
The area of a lateral side between the bases is about 126.5 square centimeters.
Step-by-step explanation:
what is the simplify of the expression where possible (r3s2t)4
Answer:
The simplification of the given expression (r3s2t)4 is:
r¹²s⁸t⁴
Step-by-step explanation:
Given expression:
(r³s²t)⁴
power of '4' on the whole term will be applied to individual terms after we open the brackets. In this case the power on the whole term will be multiplied to the power of each individual term:
= (r³)⁴(s²)⁴(t1)⁴
= r³ˣ⁴ s²ˣ⁴ t¹ˣ⁴
= r¹²s⁸t⁴
charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he recives a total amount of $9,340 after 3 years, find the rate of simple interest.
Answer:
The rate of simple interest is 9%
Step-by-step explanation:
* Lets talk about the simple interest
- The simple Interest Equation (Principal + Interest) is:
A = P(1 + rt) , Where
# A = Total amount (principal + interest)
# P = Principal amount
# I = Interest amount
# r = Rate of Interest per year in decimal r = R/100
# R = Rate of Interest per year as a percent R = r * 100
# t = Time period involved in months or years
- The rule of the simple interest is I = Prt
* lets solve the problem
- Charles deposited $12,000
∴ P = $12,000
- He withdrew $5,000 from his account after one year
- He receives a total amount of $9,340 after 3 years
∴ A = $9340 and t = 3
- Lets find the inetrest after 1 year
∵ I = Prt
∵ P = 12000
∵ t = 1
∴ I = 12000(r)(1) = 12000r
- Lets subtract the money that he withdrew
∵ He withdrew $5000
∵ He deposit at first 12000
∴ He has after the withdrew 12000 - 5000 = 7000
- The new P for the next 2 years is 7000
- This amount will take the same rate r for another two years
- The total money is $9340
∵ I = A - P
∵ A = 9340
∵ P = 7000
∴ The amount of interest = 9340 - 7000 = 2340
- The amount of interest after 3 years is 2340
- Lets find the amount of interest in the two years
∴ I = 7000(r × 2) = 14000r
- The amount of interest after the 3 years is the sum of the interest in
the 1st year and the other 2 years
∴ 2340 = 14000r + 12000r
∴ 2340 = 26000r ⇒ divide both sides bu 2340
∴ r = 2340 ÷ 26000 = 0.09
∵ The rate R in percentage = r × 100
∴ R = 0.09 × 100 = 9%
∴ The rate of simple interest is 9%
Ajar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. Find the probability
of drawing a white or red marble on the first draw.
125
12
01
NEXT QUESTION
ASK FOR HELP
TURN IT IN
[tex]|\Omega|=20+16+4=40\\|A|16+4=20\\\\P(A)=\dfrac{20}{40}=\dfrac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
16+4 =20 red and white marbles
40 marbles in all
20/40= 1/2
Using the values from the graph, compute the values for the terms given in the problem. Choose the correct answer. Age of car = 7 years. Original cost = $23,500. The cost of maintenance and repairs is $ .
Final answer:
The labor charge for a car repair job that takes 3.5 hours is $267.50. The difference in labor charges between a job that takes 2.4 hours and one that takes 6.3 hours is $214.50. Choosing between two similarly priced used cars requires additional information beyond the asking price.
Explanation:
The question asks for different computations related to the costs of car maintenance and repairs. Here is a solution to one of the calculations:
Labor Charge Calculation
The independent variable is the number of hours worked, and the dependent variable is the total labor charge. The equation to represent this situation is:
Labor Charge = $75 + ($55 × number of hours)
The slope is $55 as it represents the increase in charge per hour, and the y-intercept is $75 since it's the flat fee charged regardless of the hours worked.
For a job taking 3.5 hours:
Labor Charge = $75 + ($55 × 3.5) = $75 + $192.50 = $267.50
Difference in labor costs for two jobs (2.4 and 6.3 hours):
Labor Charge for 2.4 hours = $75 + ($55 × 2.4) = $75 + $132 = $207
Labor Charge for 6.3 hours = $75 + ($55 × 6.3) = $75 + $346.50 = $421.50
Difference = $421.50 - $207 = $214.50
In the context of Marvin shopping for a used car, it is not possible to provide a suggestion on which car to buy (the $4,000 or the $4,600 one) without additional information. Factors such as overall condition, future maintenance costs, and personal budget would need to be considered.
The line l has equation 3x+4y=24. It crosses the x-axis at the point P and the y-axis at point Q. (a)Find the coordinates of P and Q.
Answer:
P = (8, 0) and Q = (0, 6)
Step-by-step explanation:
To find where the line crosses the x- axis, substitute y = 0 into the equation and solve for x
3x + 4(0) = 24
3x = 24 ( divide both sides by 3 )
x = 8 ⇒ P = 8 ⇒ (8, 0 )
To find where the line crosses the y- axis substitute x = 0 into the equation and solve for y
3(0) + 4y = 24
4y = 24 ( divide both sides by 4 )
y = 6 ⇒ Q = 6 ⇒ (0, 6 )