MARKING BRAINLIEST TO THE FIRST CORRECT ANSWER If triangle BCD was reflected over the x-axis, what would be the coordinates of the new triangle's vertices?
If BCD was reflected over the x axis then the coordinates will be B(-1,0) C(-1,2) and D(-4,1).
Given BCD is a triangle having coordinates (-1,0),(-1,-2),(-4,-1).
When the triangle is reflected over the x axis then all the values of y will change from negative to positive and the values of x remains same because in the second and third quadrant the values of x remains same and in the second quadrant the values of y used to be positive and in the third quadrant the values of y used to be negative.
So coordinates of B will change from (-1,0) to (-1,0)
coordinates of C will change from (-1,-2) to (-1,2)
coordinates of D will change from (-4,-1) to (-4,1)
New coordinates will be (-1,0) (-1,2) (-4,1).
Hence if BCD was reflected over x axis the new coordinates will be (-1,0) (-1,2) (-4,1).
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Question 3 of 21
Which of the following are the domain and range that represent the inverse of
the function f(x), given the mapping diagram of f(x) below?
Answer: C
Step-by-step explanation:
The inverse of a function maps the domain onto the range.
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P
Aekt
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
Which is the correct representation of the inequality?
Here we have.
-3(2x - 5) < 5*(2 - x)
First, we need to isolate x in one side, let's expand both sides:
-6x + 15 < 10 - 5x
15 - 10 < 6x - 5x
5 < x
This will be represented with a number line where we have an open circle at 5, and an arrow that goes to the right. So the correct option is:
"A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right."
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The enrollment for a new program is 1,500 students. the program is expected to grow at a rate of 0.03. what is the expected enrollment in 7 years? round to the nearest whole number.
The expected enrolment in 7 years is 1845.
What is the expected enrolment?The formula for calculating future value of the number of students is an exponential equation with this form:
FV = P (1 + r) ^n
FV = Future populationP = Present populationR = rate of growth of the populationN = number of years1500 x (1.03)^7 = 1845
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Find the derivative of y = 4x^3.
Find the derivative of y = 2/x^4.
Find the derivative of y = 3√x.
Find the derivative of y = 3/√x.
Find the derivative of y = x^3/4.
Find the derivative of y = 3 x^5.
Answer:
[tex]\fbox {See below} \downarrow[/tex]
Step-by-step explanation:
Question 1 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(4x^{3})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 4(3)x^{3-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 12x^{2}}[/tex]
Question 2 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(\frac{2}{x^{4}})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(2x^{-4})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 2(-4)x^{-4-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = -8x^{-5}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = -\frac{8}{x^{5}}}[/tex]
Question 3 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(3\sqrt{x})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(3(x)^{\frac{1}{2}})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 3(\frac{1}{2})x^{\frac{1}{2}-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{3}{2}x^{-\frac{1}{2}}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{3}{2\sqrt{x}}}[/tex]
Question 4 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(\frac{3}{\sqrt{x}})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(3x^{-\frac{1}{2}})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 3(-\frac{1}{2})x^{-\frac{1}{2}-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = -\frac{3}{2}x^{-\frac{3}{2}}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = -\frac{3}{2x\sqrt{x}}}[/tex]
Question 5 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(\frac{x^{3}}{4})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{1}{4}(3)x^{3-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = \frac{3}{4}x^{2}}[/tex]
Question 6 :
[tex]\mathsf {\frac{dy}{dx} = \frac{d}{dx}(3x^{5})}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 3(5)x^{5-1}}[/tex]
[tex]\mathsf {\frac{dy}{dx} = 15x^{4}}[/tex]
Which ordered pairs make both inequalities true? Check all that apply
Answer:.
Step-by-step explanation:
√2/√2+√3-√5 rationalise the denominator
What is the exact value of sin (165 degrees)
Answer:
Step-by-step explanation:
(√6 - √2)/4
Can someone help me with fill the blanks of this pls? It’s about geometry
Answer:
see below
Step-by-step explanation:
2: letter at the vertex, placing a letter or number inside .... , or by using 3 letters
3:
WXY
WXZ
YXZ
4: X
Which foundation drawing matches this orthographic drawing?
The figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
What is orthographic drawing?Three-dimensional objects can be represented in two dimensions via an orthographic projection.
As we have given orthographic drawings.
The front, right, and the top view is shown in the picture of the cuboid if merge all the view we will find the three-dimensional figure is a cuboid.
We can represent the cuboid by 2×3 grids as shown in the picture second.
Thus, the figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
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Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$350 and $400.
[ ? ]%
p=f/a, where f=70 and a=20 f is increased by 10 a is increased to by 10
Answer:
P=3.5
P=2.667
Step-by-step explanation:
p=f/a
P=70/20
P=3.5
then f is increased by 10
f=70+10=80
and a is increased by 10
a=20+10
a=30
therefore; P=f/a
P=80/30
P=2.667
4. Minnie bought 6 postcards during 3 days of vacation. After 8 days of vacation, how many total postcards will Minnie have bought?
A. 4
B. 5
C. 16
D. 12
Car A is traveling east at a steady speed of 50 miles per hour. After 2 hours, it is 140 miles east of Johnstown.
Car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Where were the two cars in relation to each other when they began traveling?
The two cars in relation to each other when they began travelling will be car B was 20 miles east of car A. Then the correct option is A.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
Car A is travelling east at a steady speed of 50 miles per hour.
Then the equation of car A is given as
y = 50x + C
where x be the number of miles and x be the number of hours.
Then we have
After 2 hours, it is 140 miles east of Johns town.
Then we have
y = 50x ..1
Car B is travelling east on the same road. its distance east of Johns town is represented by the graph.
Then the equation of car B will be
y = [(120 - 20) / (2 - 0)]x + 20
y = 50x + 20 ...2
Then the two cars in relation to each other when they began travelling will be car B was 20 miles east of car A.
Then the correct option is A.
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Answer:
Car A was 20 miles east of car B.
Step-by-step explanation:
whats the polynomial of (7x+7)(x+2)
Answer:
okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
will you be my friend
Step-by-step explanation:
.......... okkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
A hiking club is planning a hike in the mountains. They estimates that it will take 3.5 hours to walk 6km. How long will it takes the group to walk 24km?
Answer:
14
Step-by-step explanation:
First divide 24 and 6 to find how much 6's there are in 24.
24/6=4
Now, we take that number and multiply it by 3.5 to find how long it will take the group to walk 24km.
3.5*4=14.
It will take the group 14 hours to walk 24 km.
Hope this helps!
If not, I am sorry.
5x + 13y=232
12x + 7y= 218
Answer:
x=10, y=14
Step-by-step explanation:
added in the picture
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that stopped working at 64 months is 2.
What is mean?The mean of observations is equal to the ratio of sum of all the observations and the number of observations.
Given, the set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months
The z-score is then calculated as
z = x - μ /σ
For an appliance that stopped working at 64 months, we have
x = 64
On substituting the values, we get
z = 64-48/8
z = 2
Hence, the z-score of an appliance that stopped working at 64 months is 2
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Answer:
D on edge
Step-by-step explanation:
2
BC and DE are tangents to this circle. Work out the size of angle 0. Give reasons for your answer. A 52° B O D 27° E 0 C Not drawn accurately BC and DE are tangents to this circle . Work out the size of angle 0 . Give reasons for your answer . A 52 ° B O D 27 ° E 0 C Not drawn accurately
Answer:
Θ = 39°
Step-by-step explanation:
OA = OB ( radii of the circle ) , then
Δ AOB is isosceles with base angles congruent , that is
∠ ABO = ∠ BAO = 52°
the exterior angle of a triangle is equal to the 2 opposite interior angles.
∠ DOB is an exterior angle of the triangle , so
∠ DOB = ∠ ABO + ∠ BAO = 52° + 52° = 114°
the angle between a tangent and the radius at the point of contact is 90°, then
∠ OBC = ∠ ODE = 90°
the sum of the 4 interior angles of quadrilateral OBCD = 360°
∠ OBC + ∠ DOB + ∠ ODC + ∠ BCD = 360°
90° + 114° + (90 + 27)° + Θ = 360°
90° + 114° + 117° + Θ = 360°
321° + Θ = 360° ( subtract 321° from both sides )
Θ = 39°
Scientists are using a computer simulation to test ideas about climate on Earth. Looking at one period of time in the simulation, they notice that more energy entered the Earth system than exited. How might the amount of carbon dioxide have changed to cause this, and how would this have changed the energy in the Earth system? In the simulation,
A. Carbon dioxide decreased, leading to less energy in the Earth system and less energy absorbed by Earth’s surface.
B. Carbon dioxide decreased, leading to more energy in the Earth system and more energy absorbed by Earth’s surface.
Carbon dioxide increased, leading to less energy in the Earth system and less energy absorbed by Earth’s surface.
D. Carbon dioxide increased, leading to more energy in the Earth system and more energy absorbed by Earth’s surface.
Answer:
Step-by-step explanation:
ore energy entered the Earth system than exited due to the greenhouse effect, solar energy trapping systems like solar panel, etc.
How CO₂ changed the energy in the Earth system due to many reasons:-
Carbon dioxide forces the Earth's energy budget out of balance by absorbing thermal infrared energy radiated by the surface. It absorbs thermal infrared energy with wavelengths in a part of the energy spectrum that other gases, such as water vapor, co₂, etc.
The greenhouse effect also increases energy in the earth's system.
An increase in the amount of carbon dioxide creates an overabundance of greenhouse gases that trap additional heat.
These greenhouse gas emissions have increased the greenhouse effect and caused the earth's surface temperature to rise.
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If the point (7, 3) is on the graph of an equation, which statement must be true?
Answer:
The values x = 7 and y = 3 make the equation true.
Step-by-step explanation:
hope this helps
What are the exact solutions of x2 − 3x − 5 = 0? (1 point) a x = the quantity of negative 3 plus or minus the square root of 29 all over 2 b x = the quantity of 3 plus or minus the square root of 29 all over 2 c x = the quantity of 3 plus or minus the square root of 11 all over 2 d x = the quantity of negative 3 plus or minus the square root of 11 all over 2
x = the quantity of 3 plus or minus the square root of 29 all over 2. Then the correct option is B.
What is the solution of the quadratic equation by formula method?The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic equation is given below.
x² – 3x – 5 = 0
Then the solution of the equation will be
[tex]\rm x = \dfrac{-(-3)\pm \sqrt{(-3)^2 - 4 *1*(-5)}}{2*1}\\x = \dfrac{3 \pm \sqrt{29}}{2}[/tex]
Then the correct option is B.
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What is the quadratic equation for 0=-2x+3x^2
x = 2/3 , 0 .
Question :
[tex] {3x}^{2} - 2x = 0[/tex]
use quadratic formula :
[tex]x = \frac{( - b)± \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
Solution :
[tex]a {x}^{2} + bx + c = 0 \\ a = 3 \\ b = - 2 \\ c = 0[/tex]
[tex]x = \frac{ - ( - 2)± \sqrt{ { (- 2)}^{2} - 4 \times 3 \times 0} }{2 \times 3} \\ \\ x = \frac{2± \sqrt{4 - 0} }{6} \\ \\ x = \frac{2± \sqrt{4} }{6} \\ \\ x = \frac{2± 2}{6} [/tex]
separate into two equations :
[tex]x = \frac{2 + 2}{6} = \frac{4}{6} = \frac{2}{3} .[/tex]
[tex]x = \frac{2 - 2}{6} = \frac{0}{6} = 0.[/tex]
the values of x are 2/3 and 0 .
Assembly of a television set in the factory is set to 45 minutes. Some workers take a shorter time (t) at this while some take longer. However, each varies no more than 8 minutes. Which inequality below represents this scenario?
Answer:
a
Step-by-step explanation:
Work out the area of this triangle
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
baseline and height must be at a right angle with each other.
so, in our case
6 × 11 / 2 = 3 × 11 = 33 cm²
Answer:
Area = 33 cm²
Step-by-step explanation:
[tex]\textsf{Area of a triangle}=\sf \dfrac{1}{2}bh[/tex]
where:
b is the baseh is the height (perpendicular to the base)If we turn the triangle counterclockwise, so that the side that measures 6 cm is the base, we will see that the length that measures 11 cm is the height of the triangle (see attached).
Therefore:
b = 6 cmh = 11 cmSubstitute the found values into the formula and solve for A:
[tex]\implies \sf A=\dfrac{1}{2}(6)(11)[/tex]
[tex]\implies \sf A=\dfrac{1}{2}(66)[/tex]
[tex]\implies \sf A=33[/tex]
Therefore, the area of the triangle is 33 cm²
PLEASE HELP ME WITH THIS
Answer:
Decreases
Step-by-step explanation:
A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.
2/6+5/6 as a whole number
Answer: 2/6+5/6 + 1.167
Answer:
1.16
Step-by-step explanation:
There is a lighthouse that is 25 meters tall and a boat is sinking 204 meters away from the lighthouse. To the nearest whole degree, what is the angle of depression from the top of the lighthouse to the sinking boat?
The angle of depression from the top of the lighthouse to the sinking boat is 6.9°.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
From ΔABC it is obtained that;
Height of lighthouse, AC = 25 meters
Distance of boat from the lighthouse, BC = 204 meters
The angle of depression from the top of the lighthouse to the sinking boat is;
[tex]\rm tan \theta = \frac{P}{B} \\\\ \rm tan \theta = \frac{AC}{BC} \\\\ tan \theta = \frac{25}{204} \\\\ \theta = tan^{-1}(0.12)\\\\ \theta = 6.9 ^0[/tex]
Hence, the angle of depression from the top of the lighthouse to the sinking boat is 6.9°
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Solve for h in A = ½ ah - ½ bh. Solve for h in A = ½ ah - ½ bh .
Answer:
h = A / ( 1/2 a - 1/2 b)
Step-by-step explanation:
A = ½ ah - ½ bh
Factor out an h
A = h( 1/2 a - 1/2 b)
Divide each side by ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h ( 1/2 a - 1/2 b)/ ( 1/2 a - 1/2 b)
A / ( 1/2 a - 1/2 b) = h
h = A / ( 1/2 a - 1/2 b)
