Answer:
Step-by-step explanation:
4-3x≥7
4-7≥3x
-3≥3x
or
3x≤-3
x≤-1
write the ratio 4.5: 2.25 in the form n:1
Step-by-step explanation:
you will divide both sides of the ratio I.e the 4.5 and 2.25 by 2.25
They can leave tonight by bus, or they can save two hours by leaving tomorrow morning and using the express train which travels 20 km/h faster than the bus. If the distance between South Central High and Calgary is 800 km, determine how long it will take to travel by bus, rounded to the nearest hour.
Answer:
The bus will take 10 hours to travel from South Central High to Calgary.
Step-by-step explanation:
Let suppose that both bus and express train travels at constant speed, whose kinematic formula is now described:
[tex]v = \frac{\Delta s}{\Delta t}[/tex]
Where:
[tex]v[/tex] - Speed, measured in kilometers per hour.
[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.
[tex]\Delta t[/tex] - Time, measured in hours.
The transportation time is cleared afterwards:
[tex]\Delta t = \frac{\Delta s}{v}[/tex]
The kinematic expressions for the bus and the express bus are, respectively: ([tex]\Delta s = 800\,km[/tex])
Bus
[tex]\Delta t = \frac{800\,km}{v}[/tex]
Express train
[tex]\Delta t - 2\,h = \frac{800\,km}{v + 20\,\frac{km}{h} }[/tex]
By eliminating [tex]\Delta t[/tex]:
[tex]\frac{800\,km}{v} -2\,h = \frac{800\,km}{v+20\,\frac{km}{h} }[/tex]
[tex]\frac{800\,km}{v} - \frac{800\,km}{v+20\,\frac{km}{h} } = 2\,h[/tex]
[tex]800\cdot (v+20)-800\cdot v = 2\cdot v\cdot (v+20)[/tex]
[tex]16000 = 2\cdot v^{2}+40\cdot v[/tex]
[tex]2\cdot v^{2}+40\cdot v -16000 = 0[/tex]
Which is a second-order polynomial and whose roots are:
[tex]v_{1} = 80\,\frac{km}{h}[/tex] and [tex]v_{2} = -100\,\frac{km}{h}[/tex]
Only first root is physically reasonable, as speed is a scalar, that is, a number that is represented only by magnitude. Then, the time taken by the bus to travel from Central High to Calgary is: ([tex]v = 80\,\frac{km}{h}[/tex])
[tex]\Delta t = \frac{800\,km}{80\,\frac{km}{h} }[/tex]
[tex]\Delta t = 10\,h[/tex]
The bus will take 10 hours to travel from South Central High to Calgary.
write 26/39 simplest form
Answer:
2/3
Step-by-step explanation:
26/39
26 and 39 are multiples of 13.
Simplify the fraction.
26 ÷ 13 / 39 ÷ 13
⇒ 2/3
(04.03 LC
Given the following system of equations:
3x + 5y = 30
X + 3y = 10
Which action creates an equivalent system that will eliminate one variable when they are combined?
Answer:
multiply second equation by (-3)
new system of equations:
3x + 5y = 30
-3x - 9y = -30
Step-by-step explanation:
x + 3y = 10
multiplied by (-3):
-3x - 9y = -30
combinig:
3x+5y + (-3x-9y) = 3x - 3x + 5y - 9y = -4y
10 + (-30) = -20
so: -4y = -20
Answer:
Multiply the second equation by −3 to get −3x − 9y = −30.
Step-by-step explanation:
State if a triangle is acute ,obtuse, or right
Answer:
It is an acute angle due to the angle formed at the vertex being less than 90 degrees
Answer:
acute triangle
Step-by-step explanation: sorry no step by step explanation i am in a rush anyway have a great day bye!!! :D please give brainliest
2hours 45minutes in minutes
Answer:
165 minutes
Step-by-step explanation:
1hour--> 60 minutes
60+60+45=165 minutes
Please help thanks
a(n)=−6+3(n−1)
Answer:
a=-1
Step-by-step explanation:
a(n) = -6+3(n-1)
a(n) = -6+3n-3
a(n) -n=-6+3n-n-3
a=-6+3-3
+3 +3
a3=-3
---- ----
3 3
a=-1
Fiona's school is in the shape of a triangle, with three hallways connecting the corners. Fiona enters the building and walks 90 yards through the first hallway to the first corner. Then, she walks 60 yards through the second hallway to the second corner. A triangle is shown. The side lengths are 60 yards, 90 yards, and question mark. The top point is labeled exit and the bottom right point is labeled entrance. The distance between exit and entrance is question mark. What are the possible lengths of the third hallway? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards
Answer:
bettween 30 and 150 yards
Step-by-step explanation:
test
Answer:
Between 30 yds and 150 yds.
Step-by-step explanation:
Got it right Edge 2021
Vincent made a sketch that measures 10 inches by 15 inches. If he creates a new drawing where each of the dimensions is tripled, what will be the perimeter of the new drawing?
Answer:
150 inches
Step-by-step explanation:
Vincent sketch is a rectangle
10 inches by 15 inches
Length=15 inches
Width=10 inches
If each dimension is tripled
Then,
Length=15*3=45
Width=10*3=30
Perimeter of the new drawing=2(length+width)
=2(45+30)
=2(75)
=150 inches
Suppose you want to learn more about the heights of the buildings in New York City. How would you choose a sample of the buildings? Would your sample be representative of the whole city? Why or why not?
Answer:
I'd use a Non-probability Sampling Method.
Explanation:
The question is already laced with criteria - Heights of Buildings in New York.
This means that there are certain buildings that won't fit in the sample. In a non-probability sample, objects or subjects are elected based on specified criteria that are not random. This means that not all objects/subject have a chance of being included in the sample.
It is assumed that the question/assignment centers around high rise buildings.
Therefore, one storey buildings and bungalows that are within and outside New York will not be included in the sample.
Under the Non-Probability Sampling Method, it is essential to note that there are other subgroupings of sampling techniques. They are:
Convenience SampleVoluntary SamplePurposive SampleSnowball SampleCheers!
JOJO help me I can't work good
Answer:
C. 46 degrees
Step-by-step explanation:
In a rotation all angles and side lengths are preserved so the angle measure will be the same in both the image and pre-image.
Answer:
C. 46°
Step-by-step explanation:
When you rotate a shape, it's angles and size do not change. The only things that change are its orientation and location.
I don’t quite understand what to do or how to solve it. Can someone explain please ?
Answer:
True.
Step-by-step explanation:
Remember the vertical line test. Anywhere on that graph, you can draw a vertical line, and it will not touch the function two times. Because of this, it is true.
Lucio quiere repartir su colección de estampillas entre la mayor cantidad de amigos pero de manera que todos reciban la misma cantidad tiene parar repartir 30 estampillas de animales 75 estampillas de flores y 160 de ciudades del mundo cuantos grupos iguales puede armar
Answer:
Lucio podrá armar 5 grupos iguales de estampillas.
Step-by-step explanation:
El problema plantea un caso de distribución mediante la aplicación del divisor común mayor a todos los números involucrados. Para ello, primero debemos analizar los divisores de cada uno de estos números:
-30: divisible por 2, 3, 5, 6, 10, 15 y 30.
-75: divisible por 3, 5, 15, 25 y 75.
-160: divisible por 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 y 160.
Así, podemos ver que el divisor común mayor a los tres números es 5, ya que 30, 75 y 160 dan como resultado un número entero tras ser divididos por 5.
Entonces, para poder repartir equitativamente sus estampillas entre la mayor cantidad de amigos posibles, deberá repartir 6 estampillas de animales, 15 estampillas de flores y 32 estampillas de ciudades a 5 amigos. De esta manera, Lucio podrá armar 5 grupos iguales de estampillas.
William purchase a new car the total price for he will pay for the car including interest in 17,880 if he splits his car payment over 60 months how much will he pay each month
Answer:
The Amount amount he pays each month is 298
Step-by-step explanation:
Given:
Total amount of new car (including interest) = 17,880
Payment is splited over 60 months i.e time = 60 months
Required:
How much will be paid each month
To find the amount to be paid each month use the formula:
Monthly payment = Total amount / time
[tex] = \frac{17880}{60} = 298 [/tex]
Therefore, the amount William pays each month is 298
Please answer this if you can! <3 (NO EXPLANATION REQUIRED!)
Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
Tinh's reduction is incorrect. He should only divided the side lengths by 3.
Dividing the angle measures by 3 would make it into a completely different triangle.
Dividing only the side lengths will make the triangles slightly alike.
The answer is A.
Stay safe. God bless!
<3
- Elisha
Does anyone know the answer to this?
Answer:
B
Step-by-step explanation:
X is the domain.
The function comes from -∞ and goes to ∞
So B is the answer.
Which relation is a function?
Answer:
C is the only one that looks right
Factoring without Combining Like Terms
Try it
Complete the steps to factor 2x2 + 6x + 5x + 15 by grouping.
2x2 + 6x + 5x + 15
Step 1: Group the first two terms and the second two terms.
(2x2 + 6x) + (5x + 15)
Group 1 Group 2
Step 2: What is the greatest common factor of Group 1?
2
Ox
O 2x
Answer:
(x + 3)(2x + 5)
Step-by-step explanation:
Given
2x² + 6x + 5x + 15 ← grouping the terms
= (2x² + 6x) + (5x + 15) ← factor each group
= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x + 5) ← in factored form
Answer:
EDG 2021
Step-by-step explanation:
Step 2: C. 2x
Step 3: B. 5
Step 4: C. x + 3
Step 5: A. (x + 3) (2x + 5)
6
5
WEM
-8-8-54-2-10
2
-2
3
c
B
-5
Which of the four images was formed by a reflection of the letter M?
А
Answer:
The answer is option A.
Hope this helps you
Amir wants to buy a $1382 Apple iPhone that is 12% off. What is 1 point
the discounted price before tax? *
Answer:
1273
Step-by-step explanation:
C) the answer on edg is C.
Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x + 1)2 – 7 g(x) = 4(x – 3)2 + 1 g(x) = –3(x – 4)2 – 6 g(x) = 8(x – 3)2 – 5
Answer:
[tex]g(x) = 8\cdot (x-3)^{2}-5[/tex]
Step-by-step explanation:
Given that parent function represents a parabola, the standard form with a vertex at (h,k) is now described:
[tex]y-k = C\cdot (x-h)^{2}[/tex]
[tex]y = C \cdot (x-h)^{2} + k[/tex]
Where:
[tex]x[/tex], [tex]y[/tex] - Independent and dependent variables, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical component of the vertex, dimensionless.
[tex]C[/tex] - Vertex factor, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, there is an absolute maximum).
After reading the statement of the problem, the following conclusion are found:
1) New function must have an absolute minimum: [tex]C > 0[/tex]
2) Transformation to the right: [tex]h > 0[/tex].
3) Transformation downwards: [tex]k < 0[/tex]
Hence, the right choice must be [tex]g(x) = 8\cdot (x-3)^{2}-5[/tex].
Answer:
Choice D
Step-by-step explanation:
Took the test
Rewrte the expression with a ratational exponent as a radical expression (4^2/5)^1/4
Answer:
Step-by-step explanation:
(4^2/5)^1/4
first multiply the exponent
2/5*1/4=2/20=1/10
4^1/10= 10√4(the ten is on the top to the square root)
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
c.) x-2
Step-by-step explanation:
Answer:
X-2
Step-by-step explanation:
Work out the size of angle x: 38° is at the top of the triangle, 101° is at the bottom right of the triangle, work out the size of angle x which is at the bottom left of the triangle.
Answer: x = 41°
Step-by-step explanation:
The sum of the angles in a triangle equals 180°.
To find the missing angle, subtract the sum of the two given angles from 180.
101 + 38 = 139
180 - 139 = 41
x = 41°
The size of the angle at the bottom left of the triangle is 41°.
What is a triangle?A triangle is a geometric figure which has three edges and three vertices. The sum of a triangle's three angles is 180°.
How to solve this problem?Given that the two angles of the triangle are 38° and 101°. We have to find the size of the other angle which is at the bottom left of the triangle. Let the size of the angle be x°.
We have to solve the equation:
x + 38 + 101 = 180
i.e. x = 180 - (38 + 101) = 180 - 139 = 41°
Therefore, the size of the angle at the bottom left of the triangle is 41°.
Know more about the triangles here -
https://brainly.com/question/27682397
#SPJ2
The avarage monthly salary of m male employees and f female employees of a company is 2000 if the avarage monthly salary of the male employees is (b+200) find the avarage monthly salary of the female employees
Answer:
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]
Step-by-step explanation:
Given
Number of male = m
Number of female = f
Average salary = 2000
Average Salary of male = b + 200
Required
Average salary of female
Average is calculated as follows;
[tex]Average = \frac{Total\ Salary}{Staffs}[/tex]
For the whole company;
The formula becomes
[tex]2000 = \frac{Total\ Salary}{m + f}[/tex]
Multiply both sides by m + f
[tex]2000(m+f) = Total\ Salary[/tex]
The total salary is the sum of the male salary and female salary;
In other words;
Total Salary = Male Salary + Female Salary;
The above expression becomes
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex] --------- equation 1
For the male staffs;
[tex]Average = \frac{Male\ Salary}{Male\ Staffs}[/tex]
[tex]b + 200 = \frac{Male\ Salary}{m}[/tex]
Multiply both sides by m
[tex](b+200)m = Male\ Salary[/tex]
Substitute (b + 200)m for Male Salary in equation 1
[tex]2000(m+f) = Male\ Salary + Female\ Salary[/tex]
[tex]2000(m+f) = (b + 200)m + Female\ Salary[/tex]
Subtract both sides by (b + 200)m
[tex]2000(m+f) - (b + 200)m = (b + 200)m -(b + 200)m + Female\ Salary[/tex]
[tex]2000(m+f) - (b + 200)m = Female\ Salary[/tex]
At this point, the average monthly salary of female staffs can be calculated;
[tex]Average = \frac{Female\ Salary}{Female\ Staffs}[/tex]
[tex]Average = \frac{2000(m+f) - (b + 200)m}{f}[/tex]
Find the surface area of the square pyramid using its net.
Answer:
33 square units
Step-by-step explanation:
4 triangles - 1/2 * 3 * 4 = 24
base is 3 * 3 = 9
24 + 9 = 33
If Z1 = 12 + 6݅ and Z2 = a + bi (where a, b ∈ R) are two complex number, we can say that the product Z1Z2is imaginary A) If and only if ܽ = ܾ = 0 B) If b = 2a C) If a = −2b D) for each value of a and b
Answer:
A) if and only if a = 0
Step-by-step explanation:
Since Z1 = 12 + 6݅ and Z2 = a + bi , then the product, Z1Z2 = (12 + 6)(a + bi)
Z1Z2 = (12 + 6)(a + bi)
Expanding the brackets, we have
Z1Z2 = 12a + 12bi + 6a + 6bi
Collecting like terms, we have
Z1Z2 = 12a + 6a + 12bi +6bi
Z1Z2 = 12a + 6a + (12b +6b)i
Simplifying, we have
Z1Z2 = 18a + 18bi
For Z1Z2 to be imaginary, then the real part must be zero.
That is 18a = 0 ⇒ a = 0
So, Z1Z2 is imaginary if and only if a = 0
Here's a graph of a linear function. Write the
equation that describes that function. Express it in slope-intercept form.
Answer:
y = -2x -5
Step-by-step explanation:
The line crosses the y-axis at -5. So, b = -5.
It goes down 2 units for each 1 unit to the right, so has a slope of ...
m = rise/run = -2/1 = -2
__
The slope-intercept form of the equation of a line is ...
y = mx +b where m is the slope and b is the y-intercept
For the slope and y-intercept shown, the equation is ...
y = -2x -5
Which equation has the steepest graph?
A. y = 10x-5
B. y=3/4x-9
c. y = -14x+1
D. y = 2x + 8
The equation that has the steepest slope is y = -14x + 1
What is a slope?A slope is the ratio of the change in the y-coordinates to the change in the x-coordinates of a line segment.
Analysis:
A line is said to be the steepest if it has the highest absolute value of the gradient or slope.
From the equations, the coefficient of x in the equations is taken as the slope. y = -14x+ 1 is the equation with the highest absolute value 14. The absolute value means ignoring the minus sign, since it indicates a negative slope.
Learn more about slope: brainly.com/question/3493733
#SPJ2
Answer:
Y=-14x+1
Step-by-step explanation: