Answer:
32
Step-by-step explanation:
There are 28 full shaded squares
There are 8 half squares
2 half squares make up 1 full square
So 28 + 4 = 32
Area is 32 units
anyone else’s brainly heating up their phone like crazy
Mine is not heating up I don't know about others
Garret had 1/2 of pizza. He split the pizza into 5 equal pieces. What fraction of pizza was left?
Answer:Garret had 1/10 of the pizza left.
Step-by-step explanation:thats good
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds?
Answer: 20.8 cm
Step-by-step explanation:
Notice that the corners of the squares form a line.
Set the x-axis to time and the y-axis to length of a side (not perimeter) to create coordinates.
At 0 seconds the side length is 1 --> (0, 1)
At 2.5 seconds the perimeter is 32 (side length is 32/4 = 8) --> (2.5, 8)
First, find the slope between the coordinates using \(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Let (x₁, y₁) = (0, 1) and (x₂, y₂) = (2.5, 8)
\(m=\dfrac{8-1}{2.5-0}\quad =\dfrac{7}{2.5}\quad =\dfrac{7}{\frac{5}{2}}\quad =\dfrac{14}{5}\quad =2.8\)
Next, use the Point-Slope formula to find the equation of the line:
\(y-y_1=m(x-x_1)\\\\y-1=2.8(x-0)\\\\y=2.8x+1\)
Lastly, find the side length (y) when x = 1.5
y = 2.8(1.5)x + 1
= 4.2 + 1
= 5.2
Perimeter of a square = 4 times the side length
P = 4(5.2)
= 20.8
Write the equation of the line with a slope of 34 and a y-intercept of −7 in Slope-Intercept and Point-Slope Form.
The linear equation of the line is y = 34x - 7 and y + 7 = 34(x - 0)
How to determine the line equation?The slope is given as:
m = 34
The y-intercept is given as:
c = -7
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = 34x - 7
The equation in point slope form is calculated as follows:
y = 34x - 7
Add 7 to both sides
y + 7 = 34x
Express 34x as 34(x)
y + 7 = 34(x)
Subtract 0 from x
y + 7 = 34(x - 0)
Hence, the linear equation of the line is y = 34x - 7 and y + 7 = 34(x - 0)
Read more about linear equation at:
https://brainly.com/question/1884491
#SPJ9
Surgical treatment of a broken arm costs $16,911. You have a $1,000 deductible and then your insurance will pay 85% of the remaining cost. Your insurance also has an out-of-pocket maximum charge of $3,500. What is your cost?
Using proportions, it is found that your cost is of $12,411.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the treatment costs $16,911, with a deductible of $1,000, hence the price is already of $15,911.
The insurance will pay 85% of the remaining cost, or $3,500, whichever is greater, hence:
0.85 x 15911 = $13,524 > $3,500.
Hence, the insurance pays only $3,500, and your cost is given by:
15911 - 3500 = $12,411.
More can be learned about proportions at https://brainly.com/question/24372153
If LM=22 and MN=15,find LN
Answer:
37
Step-by-step explanation:
LMN is one big line
LM=22
LM=15
LN=22+15=37
Answer:
LN = LM + MN = 37
Step-by-step explanation:
L————————-M———————-N
22. 15
L————————-37———————-N
Select the correct answer.What is the range of the function graphed below?у86-2-4HX- 224624-6OA - < y < -2
According to the graph, the range, which is the set of values that y can take, comes from negative infinite and stops at approximately 2. It means that y will always be greater than negative infinite but less than 2, this represented as inequation is:
\(-\inftyThe correct answer is B.Determine the pipe diameters on the drive line if Q design = 500 GPM (use the Darcy-Weisbach method). Determine the dimensions of the regulating tank. Also, calculate the pump power (Efficiency=70%, depth 80 ft); take into account a calculated safety factor within your pump TDH calculations. The pressure at the discharge point is 5 m. The friction factor for PVC is 0.016, and for steel it is 0.022.
The pipe diameters on the drive line using the Darcy-Weisbach method are
D_pvc = 3.18 inches and D_steel = 2.98 inches.
The given problem deals with the determination of the pipe diameters on the drive line using the Darcy-Weisbach method, calculating the dimensions of the regulating tank, and calculating the pump power by taking into account a calculated safety factor within your pump TDH calculations.
Let us solve the problem step by step:Given Data:
Flow Rate, Q design = 500 GPM
Pressure at the discharge point, P = 5 m
Efficiency of the pump, η = 70%Depth, h = 80 ft
Friction factor for PVC, f_pvc = 0.016
Friction factor for Steel, f_steel = 0.022.
Therefore,
The dimensions of the regulating tank are L = 79.7 ft.
The Pump Power is P = 170.32 HP.
To know more about pump visit:
https://brainly.com/question/31064126
#SPJ11
A parabola has a vertex at the origin. The focus of the parabola is located at (–2,0).
Answer:
Step-by-step explanation:
I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!
The equation that we want to fill in is this one:
\((y-k)^2=4p(x-h)\)
where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.
p = 2. Filling in the equation:
\(-(y-0)^2=4(2)(x-0)\) which simplifies to
\(-y^2=8x\) and now we solve it for x:
\(-\frac{1}{8}y^2=x\)
The metal bar shown is an alloy of silver and other metals.
7.5 ounces
If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
Enter the correct answer in the box.
Answer:
The weight of the silver in the bar is approximately 6.3 ounces.
Step-by-step explanation:
To find the weight of the silver in the bar, you can multiply the total weight of the bar by the proportion of the bar that is silver. Since the proportion of silver in the bar is 84%, you can express this as a decimal by dividing 84 by 100: 84/100 = 0.84.
Then, you can multiply the total weight of the bar by this decimal to find the weight of the silver:
Weight of silver = total weight of bar * proportion of silver
= 7.5 ounces * 0.84
= 6.3 ounces
how many different ways can a planning board of 6 scientists be selected from a group of 11 scientists?
There are 462 different ways to select a planning board of 6 scientists from a group of 11 scientists.
The problem requires selecting 6 scientists from a group of 11 scientists. This is a combination problem, and the formula for combination is nCr, where n is the total number of items, and r is the number of items to be selected. The formula is given by:
nCr = n! / (r! * (n-r)!)
Where "!" denotes the factorial of a number, which is the product of all positive integers up to that number.
Using the given formula, the number of ways of selecting a planning board of 6 scientists can be calculated as:
11C₆ = 11! / (6! * (11-6)!)
= (11109876!) / (6! * 54321)
= (1110987) / (5432*1)
= 462
To learn more about combination click on,
https://brainly.com/question/30890029
#SPJ4
A parallelogram is transformed according to the rule (x,y) → (x, y). Which is another way to state the
transformation?
Ro, 90°
Ro, 180°
Ro, 270°
Ro, 360°
Answer:
Ro, 360°
Step-by-step explanation:
Given
(x,y) transformed to (x,y)
Required
Determine the transformation
We have the following observations
Before transformation, the coordinates are: (x,y)
After transformation, the coordinates are: (x,y)
In other words, the coordinates before and after the transformation are the same.
This implies that there is a 360 degrees rotation.
Simply put, when there are no changes in the pre and post transformation of a point, line or shape, then the transformation is 360 degrees
The parallelogram transformed according to the rule (x,y) → (x, y), in other words can be stated as 360 degrees rotation (Ro, 360°).
360 degrees rotation
For 360 degrees rotation, the coordinates before and after the transformation will be the same.
According to this rule, the transformation of (x,y) gives (x, y)
Thus, the parallelogram transformed according to the rule (x,y) → (x, y), in other words can be stated as 360 degrees rotation (Ro, 360°).
Learn more about 360 degrees rotation here: https://brainly.com/question/98217
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answer:
The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.
Hope this answer is right!!
Answer:
Width: 13
Area: 42
Step-by-step explanation:
A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because
29+29=58
84-58=26
And 26/2=13
PLEASE ANSWER FAST!!!
Answer:
\(90\sqrt{2}\)
Step-by-step explanation:
\(\hookrightarrow 3\sqrt{6}\cdot \:5\sqrt{12}\)
\(\hookrightarrow3\sqrt{6}\cdot \:5\sqrt{3*4}\) [ √4 = 2 ]
\(\hookrightarrow3\sqrt{6}\cdot \:5*2\sqrt{3}\) [ break down ]
\(\hookrightarrow3\sqrt{3}\sqrt{2}\cdot \:5\cdot \:2\sqrt{3}\) [ simplify ]
\(\hookrightarrow90\sqrt{2}\) [ final answer ]
24. Seven tenths of a number plus 14 is less than forty-nine.
Answer:
50. ☺️☺️
Step-by-step explanation:
I'm going to assume you need this inequality solved.
First, write it as numbers, not words.
7/10n + 14 < 49
where "n" is the unknown number.
Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.
7/10 = 0.7
Now, solve it like you would any other equation.
0.7n + 14 < 49
0.7n +14 - 14 < 49 - 14
0.7n < 35
0.7n ÷ 0.7 < 35 ÷ 0.7
n < 50
The answer is n < 50
Answer: 50
Step-by-step explanation:
49 - 14 = 35
35/7 = 5
10 x 5 = 50
Since, 35 is Seven tenths of a number, One tenth is 5 and there are ten tenths, One tenth which is 5 times ten since there are ten tenths equals to 50 (5 x 10 = 50).
Which equation represents a line that is perpendicular to y=2/3x−5 and passes through the point (6,12)?
The equation representing a line that is perpendicular to y=2/3x−5 and passes through the point (6,12) is y = -3x/2 +24
How to determine the equation of the line perpendicular to y=2/3x−5 and passes through the point (6,12)Equation of line perpendicular to another line is defined by the slope of the lines. If the slope is m, then the relationship between the slopes are
m = -1/m'
The equation of the line given y = 2/3x − 5
slope , m = 2/3
slope of the perpendicular line, m' = -1/m
m' = -3/2
The line passes through point (6,12)
y - 6 = -3/2(x-12
y - 6 = -3x/2 + 18
y = -3x/2 + 18 + 6
y = -3x/2 + 24
The equation of the perpendicular line required is y = -3x/2 +24
Learn more about Equation of perpendicular line here: https://brainly.com/question/7098341
#SPJ1
a license plate is to consist of digits followed by uppercase letters. determine the number of different license plates possible if the first and second digits must be odd, and repetition is not permitted.
The total number of possible license plates is 45,697,600
There are 5 choices for the first digit (1, 3, 5, 7, 9), 5 choices for the second digit (excluding the one used for the first digit), and 26 choices for each of the following 4 characters. Therefore, the total number of possible license plates is:
5 x 5 x 26 x 26 x 26 x 26 = 45,697,600
Since the license plate must consist of 6 characters, with the first and second digits being odd, there are only 5 choices for each of the first two digits (1, 3, 5, 7, 9). Repetition is not permitted, so once a digit is chosen, it cannot be chosen again.
For the remaining 4 characters, there are 26 choices for each character (A to Z). Therefore, the total number of possible license plates is obtained by multiplying the number of choices for each character, which gives the result of 45,697,600.
For more questions like License plates click the link below:
https://brainly.com/question/29331352
#SPJ11
43.5 and a number, n, is no greater than 50. possible values of n? Show your work.
Answer:
n ≤ 6.5
Step-by-step explanation:
43.5 + n ≤ 50
43.5 + n - 43.5 ≤ 50 - 43.5
n ≤ 6.5
what’s the range of this function graph
a. [-2, infinite]
b. (-2, infinite)
c. [2, infinite)
d (- infinite, 2)
answer = c
its not a or b because the range starts at y = 2
Which of the following ordered pairs
make this equation true?
y = 3x + 2
B. (8,2)
A. (2, 2)
C, (3, 11)
D. (5, 1)
Answer:
c
Step-by-step explanation:
plug in
y=3x+2
11 = 3(3) + 2
11=11
how many ways are there for six ce majors and ten cs majors to stand in a line so that no two ce majors stand next to each other?
There are 1,207,084,032,000 ways for 6 CE majors and 10 CS majors to stand next to each other in the lines.
We use permutations and combinations for solving this problem. We fix the position of CS students so that they can stand in a fixed place by
= 10! ways (i)
Now, there are 11 places left for CE students so that no two CE students stand next to each other.
6 CE students in the rest of the 11 places can sit by = 11! / (11-6)! ways (ii)
Hence, using the values of (i) and (ii), we get -
= (10! * 11!) / (11-6)!
= 1,207,084,032,000
Therefore, we have 1,207,084,032,000 ways in which the six CE majors and ten CS majors can stand in a line so that no two CE majors stand next to each other.
Learn to know more about Permutations and Combinations on
https://brainly.com/question/13387529?referrer=searchResults
#SPJ4
the width of a rectangle is 2w and the length is (w+5) the perimeter is 40 inches what are the measurements of the rectangle
Width = 2w , Length = w+5 , perimeter = 40
Perimeter of rectangle = 2 (Length + Width)
P= 2 (L + w)
40 = 2 [ (w+5) + (2w) ]
40 = 2 ( 3w+5)
40= 6w +10
6w= 40 – 10
6w= 30
w = 30/6
w = 5
Width = 2w = 2(5) = 10
Length = w + 5 = 5+5 = 10
I hope I helped you^_^
A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are ____500 and 0.047 b 500 and 0.050 c.0.5 and 0.04 d. 0.5 and 0.050
A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are 0.5 and 0.05, respectively. The correct answer is option D.
When sampling from a population, the sample proportion is expected to be the same as the population proportion. In this case, the population proportion is given as 0.5, so the sample proportion for samples of size 100 is also 0.5.
The standard deviation of the sample proportion can be calculated using the formula sqrt((p * (1 - p)) / n), where p is the population proportion and n is the sample size. Plugging in the values, we get sqrt((0.5 * (1 - 0.5)) / 100) = sqrt(0.25 / 100) = 0.05.
Therefore, the correct answer is option D) 0.5 and 0.050. The sample proportion for samples of size 100 is 0.5, and the standard deviation of the sample proportion is 0.050.
You can learn more about standard deviation at
https://brainly.com/question/24298037
#SPJ11
What is variance process used for in residential property variance.
In the context of property variance, a variance refers to a legal authorization or exception granted to a property owner by the local governing authority. It allows the property owner to deviate from specific zoning regulations or land-use restrictions that would otherwise apply to their property.
The variance process is used when property owners believe that strict adherence to the existing regulations would cause undue hardship or prevent them from fully utilizing their property in a way that is reasonable and consistent with neighboring properties.
The purpose of property variances is to address unique circumstances or hardships that may exist for a particular property. Property variances typically involve submitting an application to the local zoning board or planning department, attending public hearings, and providing evidence or arguments to support the need for the variance.
The governing authority evaluates the application based on factors such as the impact on neighboring properties, public health and safety, and the intent of the zoning regulations. If approved, the property owner is granted permission to proceed with the proposed deviation from the regulations.
Overall, property variances provide flexibility in land-use regulations, allowing property owners to find reasonable solutions that meet their specific needs while still considering the broader community interests and objectives of zoning regulations.
To know more about property variance, refer here :
https://brainly.com/question/32469309#
#SPJ11
A vector has a magnitude of 35 and a direction of 55° while a second vector has a magnitude of 80 and a direction of 130°. What are the magnitude and direction of their resultant? [7.06]
The magnitude of the resultant vector is 96.77 and its direction is -78.95°.
To find the magnitude and direction of the resultant vector, we can use vector addition. We can break down each vector into its horizontal and vertical components using trigonometry:
For the first vector with magnitude 35 and direction 55°:
Horizontal component = 35 cos(55°) = 19.77
Vertical component = 35 sin(55°) = 28.25
For the second vector with magnitude 80 and direction 130°:
Horizontal component = 80 cos(130°) = -39.06
Vertical component = 80 sin(130°) = 66.68
To find the horizontal and vertical components of the resultant vector, we can add the corresponding components of the two vectors:
Horizontal component of the resultant vector = 19.77 - 39.06 = -19.29
Vertical component of the resultant vector = 28.25 + 66.68 = 94.93
The magnitude of the resultant vector is the square root of the sum of the squares of its horizontal and vertical components:
Magnitude of the resultant vector = sqrt((-19.29)^2 + (94.93)^2) = 96.77
The direction of the resultant vector can be found using trigonometry:
Direction of the resultant vector = arctan(94.93/-19.29) = -78.95° (measured counterclockwise from the positive x-axis)
Therefore, the magnitude of the resultant vector is 96.77 and its direction is -78.95°.
To know more about vectors visit:
brainly.com/question/12937011
#SPJ1
on a planet far far away from earth, iq of the ruling species is normally distributed with a mean of 106 and a standard deviation of 18. suppose one individual is randomly chosen. let x
The distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.
The distribution of X, representing the IQ of an individual from the ruling species on the faraway planet, is a normal distribution with a mean (μ) of 106 and a standard deviation (σ) of 18. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.
In this distribution, the majority of IQ values will cluster around the mean of 106. The standard deviation of 18 indicates the average amount of variation or dispersion from the mean. The normal distribution is symmetric, which means that the probabilities of IQ values being above or below the mean are equal.
The shape of the normal distribution is bell-shaped, with the highest point being at the mean. As we move away from the mean, the probability of observing extreme values decreases. The spread of the distribution is determined by the standard deviation, where a larger standard deviation indicates a wider spread of IQ values.
the distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet.
Learn more about standard deviation here:
https://brainly.com/question/13498201
#SPJ11
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. What is the distribution of X? X ~ N( 106 , 18 )
40 points and ill mark brainlyist!
Answer: see image.
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Question 13
"s
the measure of one of the small angles of a right triangle is 30 less than 7 times
small angle. find the measure of both angles.
smallest angle:
other non-right angle:
add work
> next question
The smallest angle measures 15 degrees and the other non-right angle measures 75 degrees.
To find the measure of both angles in a right triangle with the given conditions, we will use the information provided:
Let x be the measure of the smallest angle. The problem states that the measure of one of the small angles is 30 less than 7 times the smallest angle, which can be written as:
Other non-right angle = 7x - 30
Since this is a right triangle, the sum of the two small angles must be 90 degrees (because the other angle is 90 degrees, and the sum of angles in a triangle is 180 degrees). So, we can set up the following equation:
x + (7x - 30) = 90
Now, solve for x:
8x - 30 = 90
8x = 120
x = 15
So, the smallest angle is 15 degrees. Now, we can find the measure of the other non-right angle:
Other non-right angle = 7x - 30 = 7(15) - 30 = 105 - 30 = 75 degrees
In summary, the smallest angle measures 15 degrees and the other non-right angle measures 75 degrees.
To learn more about triangles
https://brainly.com/question/8877701
#SPJ11
JGR-MST. Which statement is not always true? someone pls helpp
Answer:
It is D, I think it’s because the letters need to be around in the same order
The angle corresponding to each other of different triangle are equal.
What are similar triangle ?"Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion".
Here given,
\(\triangle JGR\) is similar to triangle \(\triangle MST\)
So, from the definition of similar triangle ,
angle J ≅ angle M
angle G ≅ angle S
angle R ≅ angle T
Hence, option D is correct.
To know more similar triangle here
https://brainly.com/question/25882965
#SPJ2
lim x approaches infinity (2x-1)(3-x)/(x-1)(x+3) is
The limit of (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity is 0.
To find the limit of the function (2x-1)(3-x)/(x-1)(x+3) as x approaches infinity, we will divide both the numerator and denominator through the highest power of x. In this case, the highest power of x is x², so we can divide both the numerator & the denominator through x²:
\([(2x-1)/(x^2)] * [(3-x)/((x-1)/(x^2)(x+3))]\)
Now, as x approaches infinity, every of the fractions within the expression procedures zero except for (2x-1)/(x²). This fraction techniques 0 as x procedures infinity because the denominator grows quicker than the numerator. therefore, the limit of the expression as x strategies infinity is:
0 * 0 = 0
Consequently, When x gets closer to infinity, the limit of (2x-1)(3-x)/(x-1)(x+3) is 0.
Learn more about numerator and denominator:-https://brainly.com/question/20712359
#SPJ4