Answer:
\(\begin{equation*} (\frac{a}{2},\frac{a}{2}) \end{equation*}\)Explanation:
Given the coordinates as A(0,0), B (0,a), C(a,a), and D(a,0), let's go ahead and draw a sketch as seen below;
Recall the below midpoint formula;
\(Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Solving for the midpoints of AC, we'll have;
\(\begin{gathered} Midpoint=(\frac{0+a}{2},\frac{0+a}{2}) \\ \\ =(\frac{a}{2},\frac{a}{2}) \end{gathered}\)A company makes two types of electronic devices: laptops and tablets. Its business
plan says that it must produce from 70 to 130 laptops, and from 50 to 110 tablets,
per day. The total number of devices it must make per day according to the plan
ranges from 150 to 220. Given that x is the number of laptops made per day, and y
is the number of tablets made, what are the daily constraints that the plan places on
the company?
The daily constraints that the plan places on the company are 150 to 220.
What are the daily constraints that the plan places on the company?A business constraint can be anything that's stopping a company from achieving its goals.
Analysis
f0 \(\leq\) x = 130
50 ≤ y ≤110
150 ≤ x+y=220
This is a linear planning question.
In the figure on the right, any point of the shadow part meets the Constraints.
Constraints can be business or technical in nature and are defined as restrictions or limitations on possible solutions.
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please help ASAP if u can!! :))))
Answer:
the answer is 32cm squared
Step-by-step explanation:
A bag of m & m is dumped on the table and you count 82 blue pieces.approximately how many m&ms do you expect to be in the entire bag based on the entire class. Round to the nearest whole m&m
Answer: Based on the information provided, we can use the proportion of blue m&ms found in the sample (82 out of some larger total number of m&ms) to estimate the total number of m&ms in the entire bag.
If we let x be the total number of m&ms in the bag, we can set up the proportion:
82/x = blue m&ms / total m&ms
To solve for x, we can cross-multiply and divide by 82:
x = 82 * total m&ms / blue m&ms
x = 82 * 1
x ≈ 82
Therefore, based on the sample, we expect there to be approximately 82 m&ms in the entire bag, rounded to the nearest whole m&m.
It's worth noting that this is an estimation, and the actual number of m&ms in the bag may be different.
Step-by-step explanation:
Caroline took a math test and got 19 out of 25 questions correct. What percent of the questions did she answer correctly?
Answer:
76%
Step-by-step explanation:
do the amount of correct answers divided by the total of questions asked.
5. The table shows the number of stars in four galaxies.
Galaxy Galaxy J Galaxy K Galaxy L Galaxy M Number of Stars
815,234,796,002
851,243,679,010
815,234,739,120
851,432,697,201
List the galaxies in order from the least number of stars to the greatest number of stars.
Answer:
851,243,679,010
851,432,697,201
815,234,739,120
815,234,796,002
on Monday Therease went to the doctor and got an antibiotic for strep throat. The doctor told her take a dose of 4.8 ml every 12 hours for 7 days. If Thereas took her first dose at 9:00 AM on Monday, what day and time should she take her 7th dose?
The day and time that Thereas should take her 7th dose, given that she should take the dose every 12 hours is 9 am on Thursday.
How to find the day to take the dose ?From the first day that Therease took the dose which was 9 am on Monday, the table to show the days and times she takes the other doses, based on her taking them every 12 hours is:
Day Time
First dose Monday 9 am
Second dose Monday 9 pm
Third dose Tuesday 9 am
Fourth dose Tuesday 9 pm
Fifth dose Wednesday 9 am
Sixth dose Wednesday 9 pm
Seventh dose Thursday 9 am
Therese will therefore take the seventh dose at 9 am on Thursday.
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Reuben made a shirt using 7/8yards of red fabric and 1/4yards of yellow fabric. How many more yards of red fabric did Reuben use?
Answer and Step-by-step explanation:
To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:
7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8
So, Reuben used 5/8 yards more red fabric than yellow fabric.
Learning Task 1: Choose the correct answer. Write your answers on your answer sheet.
1. Birds are able to fly because
a. they are able to control air currents,
b. they have colorful feathers.
c. they have light and hollow bones,
d. they have scales all over their bodies.
2. Which of the following is not considered a worm?
a. ascaris
b. fluke
c. planaria
d. millipede
3. Which of the following animal is a not vertebrate?
a.frog
b. birds
c. reptiles
d. insects
4. Which of the following animal is a vertebrate?
a. worms
b. snakes
c. snail
d. jellyfish
5. Between 90%-95% of all animals on earth can be classified as
a. invertebrates
b. vertebrates
c. reptiles
d. mammals
Can I please get some help I’ve been stuck on this question for a while!
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Find the value of x. Then find the area of the triangle.
Step-by-step explanation:
first of all, remember, the sum of all angles in a triangle is always 180°.
now, we see that both bottom angles are 45°.
that means
180 = 45 + 45 + top-angle
90° = top-angle
aha ! we are dealing with a right-angled triangle, that is also isoceles (both legs are equally long, because the angles with the baseline are equal).
via Pythagoras
c² = a² + b²
where "c" is the Hypotenuse (the side opposite of the 90° angle), "a" and "b" are the legs.
in our case both legs are 7×sqrt(2) units long.
so,
baseline² = (7×sqrt(2))² + (7×sqrt(2))² = 49×2 + 49×2 =
= 98 + 98 = 196
baseline = sqrt(196) = 14 units
x is now the height of this triangle, and because of the isoceles form, it splits the baseline exactly in half.
so, one side of the baseline from x is 14/2 = 7 units.
and now Pythagoras for that sub-triangle :
(7×sqrt(2))² = 7² + x²
98 = 49 + x²
49 = x²
x = sqrt(49) = 7 units
the area of the triangle is
baseline × height / 2
in our case
14 × 7 / 2 = 7×7 = 49 units²
What is the purpose of a pilot sample?
a. To help clarify how the sampling process will be performed.
b. To provide an idea of what the population standard deviation might be.
c. To save time and money instead of having to carry out a full sampling plan.
d. To provide a better idea of what the population mean will be.
Answer:
b. To provide an idea of what the population standard deviation might be
Step-by-step explanation:
Pilot sample can be regarded as the
small scale preliminary experiment whereby a smaller size of samples which is smaller compare to expected size is taken population of interest which gives the estimate for the population standard deviation.
The population standard mean is a parameter and it's been calculated from every entity of the population and
can be calculated using below formula
σ =√Σ (xi -μ)^2 /N
Where N= size of the population
σ= population standard mean
μ= population mean
Xi=each sample from the population
Find the solution for a 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
Answer:
Step-by-step explanation:
Answer:
A^n = [4^n 4^n
0 1]
Step-by-step explanation:
To find the solution for the 2x2 matrix A:
[4 4
0 1] to the nth power = [ ]
We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:
A^1 = [4 4
0 1]
Now, let's solve for A^2 by multiplying A^1 by A:
A^2 = A x A^1
= [4 4 [4 4
0 1] 0 1]
= [16 16
0 1]
Next, let's solve for A^3:
A^3 = A x A^2
= [4 4 [16 16
0 1] 0 1]
= [64 64
0 1]
We can see a pattern emerging:
A^1 = [4 4
0 1]
A^2 = [16 16
0 1]
A^3 = [64 64
0 1]
We can generalize this pattern as follows:
A^n = [4^n 4^n
0 1]
Therefore, the solution for the 2x2 matrix A raised to the nth power is:
A^n = [4^n 4^n
0 1]
(b) 1 kilogram 2.2 pounds, express your answer from part (a) in pounds. Answer: lbs [2]
Answer:
37
Step-by-step explanation:
\(three times the sum of some number and 2 is equal to 15. Find the number?\)three times the sum of some number and 2 is equal to 15. Find the number?
Answer:
Step-by-step explanation:
3(x+2) = 15
X+2 = 5
X = 3
write y-5=(4/3)(x-6) into a point intercept form
The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.
The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.
The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3
Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.
To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.
Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.
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The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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Find x in the given figure.
what is the scale factor from abc to def
what are two numbers have a product of 20 and a sum of 9
Answer:
Step-by-step explanation:
Hand made the drawling of his bedroom. The bedroom was measures 3.25 inches by 4.75 inches on the drawing. What's is the perimeter of his actual bedroom if the drawling has a scale of 1 inch: 4 feet?
Let's firstly calculate the perimeter of the drawing of the bedroom.
\(\text{perimeter(drawing) P}=2(l+b)\)Given;
\(\begin{gathered} l=3.25\text{ inches} \\ b=4.75\text{ inches} \end{gathered}\)So, the perimeter of the drawing is;
\(\begin{gathered} P=2(3.25+4.75) \\ P=2(8) \\ P=16\text{ inches} \end{gathered}\)Write the following Arithmetic Sequence using an Explicit Formula: a1 = 8, an = an-1 – 2
an = 8 + 2(n – 1)
an = 2 – 8(n – 1)
an = 2 + 8(n – 1)
an = 8 – 2(n – 1)
an = a + (n - 1)d
= 8 + 2(n - 1)
HOPE IT HELPS ..
how can 11 7/5 be rewritten as a mixed number?
The answer is 12 2/5
Answer:
12 2/5
Step-by-step explanation:
help help help pls pls pls
Answer:
33.5
Step-by-step explanation:
1/2 is .5
u just add the 33
Enter the correct answer in the box.
The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of What is the equation of function g?
Substitute a numerical value for k into the function equation.
Answer:
The equation of function g after horizontal compression by a factor of 3 is:
g(x) = 7(3x) + 1 = 21x + 1
To substitute a numerical value for k into the function equation, we need to know the value of k. It is not given in the question, so we cannot provide a numerical answer.
Step-by-step explanation:
When a function is horizontally compressed by a factor of k, we divide the input (x) by k to obtain the new input for the transformed function.
The equation for the horizontally compressed function is:
g(x) = f(x/k)
Substituting f(x) = 7x + 1, we get:
g(x) = 7(x/k) + 1
Simplifying, we get:
g(x) = (7/k)x + 1
Thus, the equation for the transformed function g is obtained by replacing k with the given compression factor.
For example, if the compression factor is 3, then:
g(x) = (7/3)x + 1
And to substitute a numerical value for k, we need to know the value of k. If k = 2, for example, then:
g(x) = (7/2)x + 1
answer.plsssssssssssssssssssssssssssssssssss
Answer:
see explanation
Step-by-step explanation:
(1)
4(m + 7) = 4 ( divide both sides by 4 )
m + 7 = 1 ( subtract 7 from both sides )
m = - 6
(2)
let the number be n , then
\(\frac{3}{5}\) n - 2 = 40 ( multiply through by 5 to clear the fraction )
3n - 10 = 200 ( add 10 to both sides )
3n = 210 ( divide both sides by 3 )
n = 70
The required number is 70
(3)
The 4 sides of a square are congruent , then
length of side = 36 cm ÷ 4 = 9 cm
a Hyundai Accent cost $10,000
thats cool to know!!!!!
For the rotation -890°, find the coterminal angle from 0° 0 < 360°, the
quadrant, and the reference angle.
The coterminal angle is 190°, the reference angle is 10°, and it lies on the third quadrant.
How to find the coterminal angle?For any angle A written in degrees, the family of coterminal angles is written as:
B = A + n*360°
Where n can be any integer number different than zero.
Here we want to find a angle coterminal to -890° on the range [0°, 360°]
Then we need to find n such that:
B = -890°+ n*360°
is on the desired range.
If we take n = 3 we will get:
B = -890°+ 3*360°
B = 190°
That is coterminal angle, which is on the third quadrant, and it is 10° more than a 180° angle, so the reference angle (to the nearest axes) is 10°.
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Which expression below gives the average rate of change of the function h(x) = 4^x+2 + 7 on the interval –3 ≤ x ≤ 5?
Answer:
4^(5+2) + 7 - (4^(-3+2) +7)
--------------------------------------
5 +3
Step-by-step explanation:
The average rate of change is given by
h(5) - h(-3)
---------------
5 - -3
h(5) - h(-3)
---------------
5 +3
h(5) = 4^(5+2) + 7
h(-3) = 4^(-3+2) +7
4^(5+2) + 7 - (4^(-3+2) +7)
---------------
5 +3
Answer: i got the answer c. Good luck!
Which division problem is represented with this model?
Responses
15÷2
1 fifth divided by 2
15÷6
1 fifth divided by 6
16÷2
1 over 6 end fraction divided by 2
12÷5
1 half divided by 5
Answer:
C.
Step-by-step explanation:
We have five unshaded, 1 half of unshaded, and 1 shaded, Thus, It will be showed as \(\frac{1}{6}\) ➗ \(2\)
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = -3/4, b= 1/2
Answer:
y = -3/4x+1/2
Step-by-step explanation: