Answer:
Area of square = Side²
Step-by-step explanation:
The area of a 2-D region, form, or flattened lamina in the planes is the quantity that represents its extent. On the 2-D surface or 3-D object, surface is its counterpart. A shape's area can be calculated by comparing it to squares of a specific size.
Area of square = Side²
10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x
Answer:
C
Step-by-step explanation:
A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y) is incorrect.
D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78. But then you add 1 pencil and 1 notebook and you get some sort of odd term.
E is wrong. It would be right is y and x were interchanged so the x would go with 0.08
That leaves C which is the correct way to write it.
Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is as shown below: What is the length of side EF in inches?
a 45
b 25
c 15
d 30
Answer:
25
Step-by-step explanation:
The length of side EF in Cory's project is 25 inches. Thus, the correct answer is option b.
To determine the length of side EF in Cory's project, we can use the concept of proportionality between corresponding lengths in Cory's design and project.
We are given that the length ML in Cory's design corresponds to the length DC in Cory's project, and ML is 8 inches while DC is 40 inches. Using this information, we can set up the proportion:
ML / DC = NH / EF
Plugging in the known values, we have:
8 / 40 = 5 / EF
To solve for EF, we can cross-multiply:
8 * EF = 40 * 5
8EF = 200
Dividing both sides by 8:
EF = 200 / 8
EF = 25
Therefore, the length of side EF in Cory's project is 25 inches.
Thus, the correct answer is option b: 25 inches.
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please help me with the steps thx
find the area
Answer:
D) [tex]222[/tex] [tex]km^2[/tex]
Step-by-step explanation:
------------------------------
Let's find the surface area of the rectangular prism.
Multiply 7 times 9 for the front side and 7 times 9 again for the back side.
[tex]7*9=63[/tex]
[tex]7*9=63[/tex]
---------->>>>
Multiply 7 times 3 for the left side and 7 times 3 again for the right side.
[tex]7*3=21[/tex]
[tex]7*3=21[/tex]
---------->>>>
Multiply 3 times 9 for the top side and again for the bottom side.
[tex]3*9=27[/tex]
[tex]3*9=27[/tex]
---------->>>>
Now, let's add all these sums.
[tex]63+63+21+21+27+27=[/tex]
[tex]126+42+54=[/tex]
[tex]168+54=[/tex]
[tex]=222[/tex]
------------------------------
Hope this is helpful.
b) 0.00169
(2 mks)
Lower limit =
Upper limit
Answer:
Top bound = 0.001695
Lower bound = 0.001685
Step-by-step explanation:
The number given is 0.00169
Now, this is in 5 decimal places.
So, the lower bound will be;
0.00169 - 0.000005 = 0.001685
Thus is because rounding 0.001685 will give 0.0169
But for the top bound, we will add 0.000005 to the number;
Thus;
0.00169 + 0.000005 = 0.001695
El grado absoluto del monomio -7ab^2c^3 es menor que 4
reduce 5/10 to it's smallest fraction
Answer:
1/2
If you divide both numbers by 5, you would get 1/2
The ratio of the number of Miki's stickers to the number of Ken's
stickers was 8:7. After Miki gave Ken 18 of her stickers, they had
the same number of stickers. How many stickers did they have in all?
Answer:
Miki had 288 stickers and Ken had 252 stickers.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Miki has x stickers.
Ken has y stickers.
The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.
This means that [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
[tex]x - 18 = y + 18[/tex]
[tex]x - y = 36[/tex]
Since [tex]x = \frac{8y}{7}[/tex]
[tex]\frac{8y}{7} - y = 36[/tex]
[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]
[tex]\frac{y}{7} = 36[/tex]
[tex]y = 36*7 = 252[/tex]
And
[tex]x - y = 36[/tex]
[tex]x = 36 + y = 36 + 252 = 288[/tex]
Miki had 288 stickers and Ken had 252 stickers.
I'll give brainliest if you answer 11 and 12
Answer:
tanx=30/27
tanx=10/9
x=48
Select the correct answer.
The parent tangent function is horizontally compressed by a factor of 1/2 and reflected over the x-axis. Which equation could represent function g
the result of this transformation?
Answer:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Step-by-step explanation:
Tangent function:
The tangent function is:
[tex]f(x) = \tan{x}[/tex]
Horizontally compressed by a factor of 1/2
Horizontally compressing by a factor of 1/2 is multiplying by 1/2. So
[tex]g(x) = \frac{1}{2}\tan{x}[/tex]
Reflected over the x-axis.
Reflecting a function over the x-axis is the same as multiplying it by -1. Then g is given by:
[tex]g(x) = -\frac{1}{2}\tan{x}[/tex]
Express the terms of the following sequence by giving an explicit formula. 5 , 2 , -1 , -4, -7 , .
Answer:
Step-by-step explanation:
a1=5
d=2-5=-3
[tex]a_{n}=5+(n-1)(3)\\a_{n}=5+3n-3\\a_{n}=3n+2[/tex]
Find the value of x and show work
Answer:
20
Step-by-step explanation:
Solve the inequality –8 < x – 14.
Answer:
x=6
Step-by-step explanation:
Answer:
Interval Notation:
(6,∞)
Inequality Form:
x>6
there ya go
Solve each question (a, b, c) and show your work. Thank you <3
Answer:
a) 112 ft.
b) 256 ft. and 3 seconds
c) 7 seconds
Step-by-step explanation:
a) The model rocket is lauched from a platform. To find the height of the platform, we need to find h when t = 0, because the rocket starts from the platform when no time has elapsed:
[tex]h=-16t^2+96t+112[/tex]
[tex]h=-16*0+96+0+112\\\\h=112[/tex]
Therefore, the height of the platform is [tex]\fbox{112}[/tex] ft.
b) If you learned calculus before, we can find the maximum height easily. We take the derivative of h and set it equal to 0. Remember, the derivative of a function is simply the slope of it at an instantaneous point. At the maximum point of a function, it's slope equals to 0.
[tex]h=-16t^2+96t+112\\h'=-32t+96+0\\h'=-32t+96[/tex]
Ok! Let's set the derivative of h to 0!
[tex]0=-32t+96\\-96=-32t\\t=3[/tex]
We now know how long it takes for the rocket to reach maximum point (t represents seconds), but we also need to find the maximum height. We can simply plug our t=3 into the function of h, because t=3 is the point where the rocket reaches maximum height:
[tex]h(3)=-16(3)^2+96*3+112\\h(3)=-144+288+112\\h(3)=256[/tex]
The maximum height of the rocket is [tex]\fbox{256}[/tex] ft and the rocket takes [tex]\fbox{3}[/tex] seconds to reach the height.
c) The rocket reaches the ground when h equals 0. We can set up the equation to solve for it:
[tex]h=-16t^2+96t+112\\0=-16t^2+96t+112\\0=-16(t+1)(t-7)\\0=(t+1)(t-7)\\t=-1, t=7[/tex]
However, time can never be negative.
Therefore, it takes the rocket [tex]\fbox{7}[/tex] seconds to reach the ground.
I hope this helps! Let me know if you have any questions :)
Using the information in the Box-and-Whisker plot below, what is the minimum value?
A. 5
B. 12.5
C. 20
D. 27.5
Answer:
espero ayudarte ..............❤❤
Answer:
b
Step-by-step explanation:
2x+5x=? hihihihihiihihihihihihihihihi
Answer:
7x
Step-by-step explanation:
its simple you just add them
PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13
Answer:
D. my answer for your question
If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.
The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.
What exactly does a negative correlation coefficient mean?Two variables with a negative correlation tend to move in opposing directions.
While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.
The complete question is;
"The given statement is true or false
If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."
Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.
Hence, the given assertion is incorrect.
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solve the inequality |x + 4| < |2x|
Answer:
Below in bold.
Step-by-step explanation:
One way to do these is to square both sides:
(x + 4)^2 < 4x^2
x^2 + 8x + 16 < 4x^2
3x^2 - 8x - 16 > 0
Let this = 0:
3x^2 - 8x - 16 = 0
(3x + 4)(x - 4) = 0
x = -4/3, 4.
So the critical points are -4/3 and 4.
Make a table:
x < - 4/3 -4/3 +< x <= 4 x > 4
3x + 4 <0 > 0 > 0
x - 4 <0 < 0 > 0
(3x+4)(x-4) >0 <0 > 0
So the solution is x < -4/3 or x > 4
or in interval notation:
(-∞, -4/3) U (4, ∞)
Answer:
See image below for answer:)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
To paint interior walls, a person charges 50¢ per square foot plus the cost of the paint. For a recent job, the paint cost $100 and the total bill was $475.
The person must have painted ____ ft^2.
Answer:
750 ft²
Step-by-step explanation:
.Given :
Charge per ft² = 50¢ = $0.5
Total cost = ((charge per ft² * number of ft²) + cost of paint)
Given that :
Paint cost = $100
Total cost = $475
Number of ft² = x
Plugging values into the equation :
475 = (( 0.5 * x) + 100)
475 = 0.5x + 100
475 - 100 = 0.5x
375 = 0.5x
x = 375 / 0.5
x = 750 ft²
Complete the expressions.
Write each answer as a number, a variable, or the product of a number and a variable.
=7r6
=
7r
Commutative property of multiplication
=
Multiply
Complete question :
Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +
Answer:
2 ; 63r ; 14
Step-by-step explanation:
Given :
7(9r + 2)
Opening the bracket :
7*9r + 7*2 - - - - (1)
Taking the product
63r + 14 - - - - (2)
Now filling the blanks :
First blank corresponds to 2 (from (1))
Second blank corresponds to 63r (from (2))
Third blank should be 14
Find the population variance and standard deviation.
8, 17, 29, 35, 41
Answer:
53
Step-by-step explanation:
By taking the number "41" and minus it with "35" and you'll get 12. Take the number "12" and plus with "41" and you'll get the answer.
the population variance is 144 and the population standard deviation is 12.
To find the population variance and standard deviation for the given data set, follow these steps:
Step 1: Find the mean (average) of the data set.
Step 2: Subtract the mean from each data point to find the differences.
Step 3: Square each difference.
Step 4: Calculate the sum of the squared differences.
Step 5: Divide the sum of squared differences by the total number of data points to find the variance.
Step 6: Take the square root of the variance to find the standard deviation.
Given data set: 8, 17, 29, 35, 41
Step 1: Find the mean (average):
Mean = (8 + 17 + 29 + 35 + 41) / 5
Mean = 130 / 5
Mean = 26
Step 2: Find the differences from the mean:
Differences: (8 - 26) = -18, (17 - 26) = -9, (29 - 26) = 3, (35 - 26) = 9, (41 - 26) = 15
Step 3: Square each difference:
Squared differences: [tex](-18)^2 = 324, (-9)^2 = 81, 3^2 = 9, 9^2 = 81, 15^2 = 225[/tex]
Step 4: Calculate the sum of squared differences:
Sum of squared differences = 324 + 81 + 9 + 81 + 225 = 720
Step 5: Calculate the variance:
Variance = Sum of squared differences / Number of data points
Variance = 720 / 5
Variance = 144
Step 6: Calculate the standard deviation:
Standard deviation = √Variance
Standard deviation = √144
Standard deviation = 12
So, the population variance is 144 and the population standard deviation is 12.
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Which expression is equivalent to
3V64k^12
Answer:
I think the answer is C
Step-by-step explanation:
pls help i’ll mark brainliest if your right
Answer:
628 Cubic Yards
Step-by-step explanation:
A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.
Answer:
$325.50, mentioned methods below.
Step-by-step explanation:
55% means it increases by 55%. an increase of 50% is basically taking half of the original amount . So a 50% increase of 4 would be 4 + .5*4 = 4+2 = 6
So for 210 that's 210 + .55*210 = 325.50
You could also factor to make it a little simpler.
210 + .55*210 = 325.50
210(1 + .55) = 325.50
210*1.55 = 325.50
.55 = 55/100 = 11/20
Which of the suggestions do NOT rely on the support of a parent or guardian?
what are the suggestions?
Answer:
what are the options
Step-by-step explanation:
równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma postać v(t)=25-5t. Korzystając z rachunku całkowego wyznacz drogę hamowania autokaru.
Answer:
s = 22.5 m
Step-by-step explanation:
the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.
v (t) = 25 - 5 t
at t = 0 , v = 20 m/s
Let the distance is s.
[tex]s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\[/tex]
Let at t = t, the v = 20
So,
20 = 25 - 5 t
t = 1 s
So, s = 25 x 1 - 2.5 x 1 = 22.5 m
Perform the indicated operation.
(7 - 11) + (-3+51
Step-by-step explanation:
(7-11)+(-3+51)
(-4)+(48)
44 ans
Answer:
44
Step-by-step explanation:
7-11= -4
-3+51=48
-4+48=44
Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.
Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Complete Question
Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answer:
a. 0.2231
b. 0.1266
c. 0.6591
d. 252 people
Step-by-step explanation:
We solve using the z score formula of
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 183 cm
σ is the population standard deviation = 10.5 cm
a.What is the probability that a Dutch male is shorter than 175 cm?
This is interpreted as when x < 175 cm
Hence:
z = 175 - 183/10.5
z = -0.7619
Probability value from Z-Table:
P(x<175) = 0.22306
Approximately ≈ 0.2231
b.What is the probability that a Dutch male is taller than 195 cm?
This is interpreted as when x > 195 cm
Hence:
z = 195 - 183/10.5
z = 1.14286
Probability value from Z-Table:
P(x<195) = 0.87345
P(x>195) = 1 - P(x<195) = 0.12655
Approximately ≈ 0.1266
c.What is the probability that a Dutch male is between 173 and 193 cm?
For x = 173
z = 173 - 183/10.5
z = -0.95238
Probability value from Z-Table:
P(x = 173) = 0.17045
For x = 193
Hence:
z = 193 - 183/10.5
z = 0.95238
Probability value from Z-Table:
P(x= 193) = 0.82955
Hence, the probability that a Dutch male is between 173 and 193 cm
P(x = 193) - P(x = 173)
0.82955 - 0.17045
= 0.6591
d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
This is interpreted as when x > 190 cm
Hence,
z = 190 - 183/10.5
= 0.66667
Probability value from Z-Table:
P(x<190) = 0.74751
P(x>190) = 1 - P(x<190)
= 0.25249
Therefore, the number of people we would expect to be taller than 190 cm is
Random number of samples × Probability
= 1000 × 0.25249
= 252.49 people
Approximately≈ 252 people
the probabilities that Kojo and Adwoa will pass an examination are 3/4 and 3/5 respectively. Find the probability that both will fail the examination
A ship is traveling at 18 miles per hour from Corsica to Barcelona, a distance of 350 miles. To avoid harsh weather, the ship leaves Corsica on a route 22°south of the direct route. After 7 hours, the harsh weather has been bypassed. Through what angle should the ship now turn to head directly to Barcelona?
9514 1404 393
Answer:
about 33.4°
Step-by-step explanation:
There are many ways to work this problem. A solution using a geometry program is shown in the attachment. The ship must turn about 33.4° to the north.
__
Another way to work this is to redraw the diagram so the initial starting point is left of the origin on the x-axis. Then the ship's direction can be considered to be straight to the right along the x-axis. The origin is the ship's turning point. The ship's destination can be considered to be 350∠22° from the initial position of the ship. The location of that destination relative to the origin represents the turn the ship must make.
At 18 mph for 7 h, the ship has traveled 126 miles.
Using the above method, the ship's destination relative to the origin is ...
(-126, 0) +(350)(cos(22°), sin(22°)) = (198.514, 131.112)
Then the angle the ship must turn is ...
arctan(131.112/198.514) ≈ 33.44°
The ship must turn about 33.4° to the north to head directly to Barcelona.