Answer:
x = -10
Step-by-step explanation:
9 x -10 = -90
A certain college has 11,989 students. Assume that 6120 are unemployed sophomores, juniors, or seniors and that 4104 are employed sophomores, juniors, or seniors. There are 745 employed freshmen. Use
for freshmen and
for employed students, and make a Venn diagram marking the number of students in each region of the diagram. How many freshmen are there?
Step-by-step explanation:
Since 4104 students are employed sophomores, juniors, or seniors, the total number of unemployed students is 11,989 - 4104 = 7885.
And since 745 students are employed freshman, the number of unemployed freshman is 7885 - 745 = 7140.
So, the total number of freshman is 745 + 7140 = 7885.
The Venn diagram would look like this:
[ Freshmen ] [ Sophomores, Juniors, Seniors ]
[ 7885 ] __________ [ 4104 ]
| 745 |
__________
[ 7140 ]
So, there are 7885 freshman.
Are these triangles similar?
what single transformation is equivalent to a reflection over the x-axis, followed by a rotation of 90 degrees?
The single transformation that is equivalent to a reflection over the x-axis, followed by a rotation of 90 degrees, is a reflection over the y-axis.
Here, we have,
we know that,
When you reflect a figure over the x-axis, all the points are flipped vertically, so a point (x, y) would become (x, -y).
Then, when you rotate the reflected figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap places, resulting in (-y, x).
If we perform a reflection over the y-axis on the original figure (x, -y), the y-coordinate is negated, resulting in (-x, -y).
Then, when we rotate this figure by 90 degrees counterclockwise, the x-coordinate and y-coordinate swap, giving us (-y, -x), which is equivalent to (-y, x).
Therefore, a reflection over the y-axis achieves the same result as a reflection over the x-axis followed by a rotation of 90 degrees.
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the area enclosed by Adam's square garden is 144cm square. what is the distance round the gardes
What are the 8 parallel lines?
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
What is answer parallel line?
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.
Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
these are 8 parallel lines
2x+3y = 6
2x+3y = 4
2x+3y = 1
2x+3y = 2
2x+3y = 3
2x+3y = 8
2x+3y = 7
2x+3y = 5
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HELP ME HELP ME PLEASEEEE I NEED QUICK
Answer:
<ABC and <CB both add up to 90 degrees and fit in the angle <ABD so they could be 45 degrees, or one could be 20 degrees while the other is 70, they just have to add up to 90 degrees
Step-by-step explanation:
Gretta created some figures that she calls reebs What attribute do these reebs have in common?
Answer:
Reebs have 1 right angle
Step-by-step explanation:
Look at all the reebs. They all have 1 right angle!
Answer:
C
Step-by-step explanation:
Helpful conversions: 1 acre =43,560 square feet 1 hectare =10,000 square meters 1lb=454 grams 1 kg=2.2lbs=1000grams 1. Scouting for cover crop establishment in the field requires conversion of your massbased seeding rate (e.g., lbs/acre) to a population-based establishment rate (e.g., plants/f? ). Let's practice doing that. Convert the following seeding rates: a. Cereal rye - 60 ibs/acre = H seeds/square foot b. Crimson clover −15 kg/ha= H seeds/square meter 2. Convert the following population-based seeding rates to mass-based seeding rates. a. Oats −30 plants/square foot = Ibs seedlacre b. Hairy vetch −20 plants/square meter = kg seedsha 3. Your farm manager wants you to drill crimson clover seed, but the seed hasn't arrived yet and you don't know if it's coated or not. If the seed is not coated, the seeding rate is 20 blacre. Will you need to increase or decrease your seeding rate if the seed is coated?
Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.
To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:
a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.
b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.
To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:
a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.
b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.
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Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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Explain why 4 < x < 1 has no solution.
Answer:
because there is no number is greater than 4 and less than 1
What is the volume of a cylinder that has a radius of 2 meters and height of 10 meters? Use 3.14 for π
Answer:
125.66
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh, V=πr2h, or πr2h
==
π π
r 2
2 2 ≈
Vh 10125.66371
I'm not good at explaining it but this should be the answer
Helpppppppppp meeeeeee pleaseeeeeeeee
Answer:
If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5
Answer:
49 and 51
Hope it helps
Verify that the indicated function is a solution of the givendifferential equation. Where appropiate, C1 andC2 denote constants.
27. (x2 + y2)dx + (x2 - xy)dy= 0; C1(x + y)2 =xe(y/x)
This differential equation is of the form:
(x^2 + y^2)dx + (x^2 - xy)dy = 0
We can solve it by first integrating the left-hand side with respect to x. To do this, we need to rearrange the equation and integrate both terms individually. We have:
int (x^2 + y^2)dx = x^3/3 + xy^2 + C_1
int (x^2 - xy)dy = x^2y - frac{1}{2}y^2 + C_2
Therefore, the general solution of the differential equation is:
x^3/3 + xy^2 + C_1 = x^2y - \frac{1}{2}y^2 + C_2
Now we need to verify that the given function C_1(x + y)^2 = xe^{y/x} is a solution of this differential equation. To do this, we first substitute the given function for C_1 in the general solution and rearrange the equation:
x^3/3 + xy^2 + (x + y)^2 = x^2y - \frac{1}{2}y^2 + xe^{y/x}
We can now differentiate both sides of the equation with respect to x and simplify to get:
2x + y^2 + 2xy = 2xy + xe^{y/x}
If we simplify further, we get:
y^2 = xe^{y/x}
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In a bubble sort, on each pass through the list that must be sorted, you can stop making pair comparisons _____. A. one comparison later B. one comparison sooner C. two comparison sooner D. two comparison later
Answer:
In a bubble sort, on each pass through the list that must be sorted, the largest value "bubbles" to the end of the list. Therefore, after each pass, the end of the list is guaranteed to be sorted. This means that we can stop making pair comparisons one comparison sooner, which is option B.
Step-by-step explanation:
Bubble sort works by repeatedly comparing and swapping adjacent elements in the list if they are in the wrong order. During each pass through the list, the largest unsorted element "bubbles up" to its correct position. As a result, after the first pass, the largest element is in its correct position, after the second pass, the two largest elements are in their correct positions, and so on.
Therefore, with each subsequent pass, you can stop making pair comparisons one comparison sooner because the elements at the end of the list are already sorted.
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Please answer this troublesome question shown in the image
help please due at 5:30
Answer:
Step-by-step explanation:
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Let's evaluate :
\( - 6m + 3 - 4 - 6m\)\(( - 6 \times - 2) + 3 - 4 - ( 6 \times - 2)\)\(12 - 1 + 12\)\(24 - 1\)\(23\)Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 11 hours of burning, a candle has a height of 22.4 centimeters. After 28 hours of burning, its height is 12.2 centimeters. What is the height of the candle after 27 hours
the height of the candle after 27 hours of burning is 0.6 centimeters.
Let h be the height of the candle and t be the amount of time it has been burning. It is given that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
After 11 hours of burning, a candle has a height of 22.4 centimeters.
After 28 hours of burning, its height is 12.2 centimeters.
Therefore, we can write two linear equations using the given information:
y1 = mx1 + b where y1 = 22.4, x1 = 11 and y2 = 12.2, x2 = 28
Solving for m and b, we get:
y1 = mx1 + b22.4 = m(11) + b... (1)
y2 = mx2 + b12.2 = m(28) + b... (2)
Solving equation (1) for b, we get:
b = 22.4 - m(11)... (3)
Substituting equation (3) into equation (2) and solving for m, we get:
m = (12.2 - 22.4) / (28 - 11) = -1.4
Using equation (1) and the value of m, we get:
22.4 = (-1.4)(11) + b
22.4 = -15.4 + b
b = 37.8
Therefore, the equation of the line is:
h = -1.4t + 37.8
We can use this equation to find the height of the candle after 27 hours:
h = -1.4(27) + 37.8h = 0.6 centimeters
Therefore, the height of the candle after 27 hours of burning is 0.6 centimeters.
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4
Adam's
age is 3 years and 6 months.
Zara's age is 2 years and 11 months.
.
Write Adam's age in months as a fraction of Zara's age in months.
Give your fraction in its simplest form.
The question is an illustration of fraction division and Adam's age as a fraction of Zara's age is 7/5
How to represent the age as a fraction?The ages are given as:
Adam = 3 years and 6 months
Zara = 2 years and 11 months
Rewrite the ages in months
Adam = 3 * 12 + 6 = 42 months
Zara = 2 * 12 + 11 = 35 months
Adam's age as a fraction of Zara's age is calculated using:
Fraction = Adam/Zara
This gives
Fraction = 42/35
Simplify
Fraction = 7/5
Hence, Adam's age as a fraction of Zara's age is 7/5
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The distance of 2 laps around a park is 2.5 miles. Walking 5 laps around the same park is 6.25 miles.
Complete the table to show the relationship between the number of laps and the number of miles. Enter the answers in the boxes.
Answer:
Each lap is 1.25 miles, so multiply the number of laps with 1.25 to get your answer.
Step-by-step explanation:
1 lap = 1.25 miles
2 laps = 2.5 miles
3 laps = 3.75 miles
4 laps = 5 miles
5 laps = 6.25 miles
6 laps = 7.5 miles
7 laps = 8.75 miles
8 laps = 10 miles
9 laps = 11.25 miles
10 laps = 12.5 miles
Find the sale price of a $26 item after a 50% discount.
Answer:
$13
Step-by-step explanation:
$26 x .5 = $13
Figure 1 and Figure 2 below are congruent. Which angle corresponds to angle L?
Answer:
angle E
Step-by-step explanation:
Have 109% in geometry
2^2018+2^2019-2^2020/2^2020-2^2021-2^2022
Answer:NaN
Step-by-step explanation:
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giving the following NaN.
convert y=-2x into standard form
Let {v_1, v_2} be an orthogonal set of nonzero vectors, and let c_1, c_2 be any nonzero scalars. Show that the set {c_1 v_1, c_2 v_2} is also an orthogonal set. Since orthogonality of a set is defined in terms of pairs of vectors, this shows that if the vectors in an orthogonal set are normalized, the new set will still be orthogonal.
Based on the proof, the set {c1v1, c2v2} is also an orthogonal set.
How to explain the informationIt should be noted that to show that {c1v1, c2v2} is an orthogonal set, we need to show that their dot product is zero, i.e.,
(c1v1)⋅(c2v2) = 0
Expanding the dot product using the distributive property, we get:
(c1v1)⋅(c2v2) = c1c2(v1⋅v2)
Since {v1, v2} is an orthogonal set, their dot product is zero, i.e.,
v1⋅v2 = 0
Substituting this in the above equation, we get:
(c1v1)⋅(c2v2) = c1c2(v1⋅v2) = c1c2(0) = 0
Therefore, the set {c1v1, c2v2} is also an orthogonal set.
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Use the facts that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statement to rewrite each of the statements without using the word necessary or sufficient. Show work and steps require to get the answer.
a) Being divisible by 8 is not a necessary condition for being divisible by 4.
b) Having a large income is not a necessary condition for a person to be happy.
c) Having a large income is not a sufficient condition for a person to be happy.
d) Being a polynomial is not a sufficient condition for a func- tion to have a real root.
Here, we've rewritten the original statement without using the words "necessary" or "sufficient" by applying the rules of negating a ∀ statement and an if-then statement.
To rewrite the given statement without using the words "necessary" or "sufficient", we'll apply the rules mentioned in the question.
Statement: Being a polynomial is not a sufficient condition for a function to have a real root.
1. Identify the sufficient condition: "Being a polynomial"
2. Identify the necessary condition: "A function having a real root"
Now, we'll use the fact that the negation of an if-then statement is an and statement. The given statement can be written as:
If a function is a polynomial, then it has a real root.
The negation of this if-then statement would be:
A function is a polynomial and it does not have a real root.
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a) The negation of "Being divisible by 8 is a necessary condition for being divisible by 4" is:
"There exists a number that is divisible by 4 but not by 8." Using the negation of a universal quantifier, we can rewrite this as "Not all numbers divisible by 4 are also divisible by 8."
b) The negation of "Having a large income is a necessary condition for a person to be happy" is:
"There exists a person who is happy but does not have a large income." Using the negation of a universal quantifier, we can rewrite this as "Not all happy people have a large income."
c) The negation of "Having a large income is a sufficient condition for a person to be happy" is:
"There exists a person who does not have a large income but is still happy." Using the negation of an if-then statement, we can rewrite this as "Having a large income and being happy are not always true together."
d) The negation of "Being a polynomial is a sufficient condition for a function to have a real root" is:
"There exists a function that is a polynomial but does not have a real root." Using the negation of an if-then statement, we can rewrite this as "Being a polynomial and having a real root are not always true together."
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Welp. Please!
Thank you
Answer:
(2,-6)
Step-by-step explanation:
Kerry starts school at 8:30 AM today. If she gets out after her 5th class, according to the chart, what time will she leave school today?
Answer: 3:45
Step-by-step explanation:
What is x, the distance between points A and A'?
A.2.4 units
B.4.8 units
C.13.6 units
D.14.4 units
Answer= C
Answer:
2.24units
Step-by-step explanation:
Let the coordinate be A(3, -5) and A'(2, -3)
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
AA' = √(2-3)²+(-3-(-5))²
AA' = √(-1)²+(-3+5))²
AA' = √1+2²
AA' =√5
AA' = 2.24 units
Note that the coordinate points are assumed
Answer:
It’s C
Step-by-step explanation:
Just did the quiz
Describe the long run behavior of f(x)=5(2)x+1:
As x→−[infinity], f(x) =
As x→[infinity], f(x) =
The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.
The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.
As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1
As x approaches negative infinity, the value of the function approaches 1.
As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞
As x approaches positive infinity, the value of the function approaches infinity.
As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.
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a cylinder gas a volume of 600 in cubed. what is the volume of a cone that has the same diameter and height
If a cylinder has a volume of 600 cubic inches, and we want to find the volume of a cone with the same diameter and height as the cylinder, we can use the formula for the volume of a cone.
The formula for the volume of a cone is given as:
\(V = (1/3) * \pi * r^2 * h,\)
where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cone, and h is the height of the cone.
In this case, since the cylinder and cone have the same diameter, the radius of the cone's base will be half of the radius of the cylinder's base. Let's assume the radius of the cylinder's base is r_cylinder.
So, the radius of the cone's base will be r_cone = r_cylinder / 2.
The height of the cone will be the same as the height of the cylinder, denoted as h_cylinder.
Now, let's substitute these values into the volume formula for the cone:
V_cone = (1/3) * π * (r_cone)^2 * h_cylinder
= (1/3) * π * (r_cylinder/2)^2 * h_cylinder
= (1/3) * π * (r_cylinder^2 / 4) * h_cylinder
= (π/12) * r_cylinder^2 * h_cylinder.
Since we know the volume of the cylinder is 600 cubic inches, which is equal to the volume of the cone, we have:
600 = (π/12) * r_cylinder^2 * h_cylinder.
From this equation, we can't directly calculate the specific values of r_cylinder and h_cylinder. We would need additional information or constraints to solve for them.
However, using the given information, we can conclude that the volume of the cone with the same diameter and height as the cylinder will also be 600 cubic inches, assuming the cylinder and cone share the same dimensions.
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