Point A
(-16, 20)
Point B
(-16, -14)
The Distance Formula itself is actually derived from the Pythagorean Theorem which is a
[tex]\begin{gathered} d=\sqrt[]{(y2-y1)^2+(x2-x1)^2} \\ d=\sqrt[]{(-14-20)^2+(-16-(-16}))^2 \\ d=\sqrt[]{(-34)^2} \\ d=34 \end{gathered}[/tex]The distance would be 34 units
Help, I don’t get this
The total earnings for the week for the same wage per hour is $501.6.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For 5 of working earnings is $76
Hourly rate = 76 / 5 = $15.2 per hour
Now for 33 hours of working in a week,
Earning = 15.2 * 33 = $501.6
Thus, the total earnings for the week for the same wage per hour is $501.6.
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ASAP PLEASEEE HELPPP PLEASEEEE
1.If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, what transformation occurs from f(x) to h(x)?
A.Shift left 3 units
B.Shift right 3 units
C.Shift up 3 units
D.Shift down 3 units
2. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the vertex affected? Select all that apply.
A.The vertex will not change.
B.The vertex will shift right 3 units.
C.The vertex will shift left 3 units.
D.The vertex will shift up 3 units.
E.The vertex will shift down 3 units.
F.The vertex will not move up or down.
G.The vertex will not move right or left.
3. If the parent function f(x) = |x| is transformed to h(x) = |x| - 3, how is the range affected?
A.The range will not change.
B.The range will be all real numbers.
C.The range will change from y ≥ 0 to y ≥ -3.
D.The range will change from x ≥ 0 to x ≥ -3.
1) A translation of 3 units down, option D.
2) The vertex moves 3 units down.
3) The new range is y ≥ -3, correct option is C.
Which transformation is applied?For a function f(x) a vertical shift of N units is written as:
g(x) = f(x) + N
In this case, we have:
f(x) = |x|
h(x) = |x| - 3
Then h(x) = f(x) - 3
This is a shift of 3 units down, the correct option is D.
How is the vertex affected?
The vertex is translated 3 units down, like the whole graph of the function.
How is the range affected?
The vertex defines the minimum of the range, so if the vertex goes 3 units down, then the range also does, the new range will be:
y ≥ -3.
So the correct option is C.
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64 (5x+4) solve for x (angles)
Answer: 320x + 256
Step-by-step explanation:
WRITE A SIMPLIFIED EXPRESSION FOR THE PERIMETER OF THE TRIANGLE.
The simplified expression of the perimeter of the triangle is 3.75x - 7.
How to find the perimeter of a triangle?A triangle is a a polygon with three sides. The sum of angles in a triangle is 180 degrees.
The perimeter of a triangle is the sum of the whole three sides.
Therefore, the simplified expression that represents the perimeter of the triangle is as follows:
Hence, the three sides of the triangle are as follows;
1.5x - 31.5x - 30.75x - 1Hence,
perimeter of the triangle = 1.5x - 3 + 1.5x - 3 + 0.75x - 1
perimeter of the triangle = 1.5x + 1.5x + 0.75x - 3 - 3 - 1
perimeter of the triangle = 3.0x + 0.75x - 7
perimeter of the triangle = 3.75x - 7
Therefore, the simplified expression is 3.75x - 7
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Which ordered pair would form a proportional relationship with the point graphed below?
Answer:
(5, 20)
Step-by-step explanation:
(5, 20) is the only ordered pair which falls on the line
I dont know pls help me
In Close Encounters of a Bear Kind, the statement that represents the author's primary attitude towards John's work is that C. John's work is dangerous.
How to illustrate the information?According to the author, he stated that people don't usually realize that bears
can be very dangerous.
He further stated that they will reap people apart of they e the chance. The narrator gave an example about how he walked out at night and had to run back home for his dear life. This was why he stated that the job of John whom was a photographer was a dangerous one.
In conclusion, the correct option is C.
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what is the rule for this pattern?
17, 20, 19, 22, 21
Answer:
+3, -1
Step-by-step explanation:
17 + 3 = 20
20 - 1 = 19
19 + 3 = 22
22 - 1 = 21
Please mark me brainliest if this helps!
Question 3 of 5
A Galapagos penguin can walk mile in an hour. How many hours would it
take the penguin to walk mile?
O A. x = hour
OB. +=
hours
O c.
hour
OD. + hours
-
Answer:
1 hour
Step-by-step explanation:
Since the penguin supposedly walks a 1 mile per hour, it would take one hour to achieve 1 mile
Find the reminder when 2 to the 100th power is divided by 5 explain your work
The reminder of 2 to the 100th power divided by 5 is 1
What is the reminder when 2 raised to the power of 100 is divided by 5?2 to the 100th power is:
[tex]2^{100}[/tex] = 1,267,650,600,228,229,401,496,703,205,376
Then dividing 2 to the 100th power by 5:
1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075 (without considering the decimal value)
This tells us how many times 5 can divide 2 to the 100th power.
Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):
253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375
Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:
1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1
Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is 1.
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Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
Therefore, the p-value for study b exists 0.080.
What is meant by p-value?The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.
In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)
Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -
[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]
simplifying the above equation, we get
[tex]$P \frac{\alpha}{2}=0.040$[/tex]
Substituting the given value in above equation, we get -
Probability values for a two tailed test
= 0.040 + 0.040
= 0.080
Therefore, the p-value for study b exists 0.080.
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Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.What could Shane do to make his calculation more accurate? A. Use sin(4.5°) in his calculator instead of 0.08. B. Remeasure the angle with a different tool. C. Use the Pythagorean theorem to find the length of the ramp. D. Use a different trigonometric function to find the length of the ramp.
Statement Problem: Shane is a building engineer and is determining the length of an access ramp needed to reach a step 1.5 feet off the ground. He knows the length of the ramp, r, in feet, can be expressed with the equation below.
First, Shane finds that sin(4.5°) ≈ 0.08. Using his calculator, he then calculates the length of the ramp as shown below.
What could Shane do to make his calculation more accurate?
Solution:
The length of the ramp, r, in feet is expressed using the sine ratio;
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 4.5^o=\frac{1.5}{r} \\ r=(\frac{1.5}{\sin 4.5})ft \\ \end{gathered}[/tex]Hence, Shane's calculation would be more accurate if he uses sin (4.5 degrees) in his calculator instead of 0.08
CORRECT OPTION: A
I will give 100 points!!
New Orleans is 2 feet about sea level, salton city has an elevation that is lower then New Orleans. What is a possible elevation in feet of salton city.
(Please give explanation!!)
Answer:
Salton City could have an elevation less than -2 or greater than 2 (depends on what u meant.
Step-by-step explanation:
Usually when u talk abt elevation, when it is lower than sea level, you write it with a negative sign. If you meant that new Orleans is 2 feet below sea level, the Salton City elevation could be anything less than -2. If you meant 2 feet above sea level, the New Orleans elevation could be anything above 2.
HOPE THIS HELPS!
CAN U PLSSSSSS HELP ME WITH THIS PROBLEM????
5. How many ways are there to distribute 10 indistinguishable candies among 4 different
children? Children may end up with no candies.
40 push-ups in 5 days = push-ups in 6 days
Answer:
48 push ups
Step-by-step explanation:
40 push ups in 5 days can be modelled with the fraction 40/5
you can simplify that to 8/1 after dividing both sides by 5
now set that equal to push ups over 6
but first you must declare a variable for push ups
let x = push ups
8/1 = x/6
multiply both sides by 6
48/1 = x
x = 48
that is your answer
48 push ups
To know how many reflections are made per day, a division is made between the days and the total number of reflections.
40 Flexions ➗ 5 days = 8 flexions a day.
Every day it has 8 flexions, in multiply the 6 days for the 8 flexions of each, then.
8 flexions (1 day) ✖ 6 days = 48 flexions.
Answer: 48 flexions = 6 days ✅.
I'm stuck with this word problem pls helped me
One of the many branches of mathematics is algebra, which is derived from the Arabic word al-jabr, which means "reunion of fractured pieces, bonesetting."Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.
Solve the problem?
The world's best mathematicians have been baffled by a mathematical problem for decades.The Diophantine equation x3+y3+z3=k, where k is the sum of all the numbers from 1 to 100, is also referred to as the "sum of three cubes. The following will teach you how to identify the problem before moving on to any of the other four steps in the five-step process for solving algebraic problems.Determine the issue.Describe your knowledge.Plan beforehand.Execute the plan.Check to see if the response makes sense.
16x+12y=744
= 16x+12y=744
16x= 744-12y
divide both sides by 16
16x/16=744-12y/16
x= 744-12y/16
744-12y by 16
x =-3y/4+93/2
solving y
16x+12y=744
12y =744-16x
divide by 12
12y/12 =744-16x/12
y= 744-16x/12
y=-4x/3+62
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X=
////////////////////////////
Answer: [tex]x=15[/tex]
Step-by-step explanation:
By the consecutive interior angles theorem,
[tex]150+3x-15=180\\\\3x-15=30\\\\3x=45\\\\x=15[/tex]
I need help what is
3/6i answer
Answer:
See below
Step-by-step explanation:
3 / (6i) = 3 / (6 * sqrt(-1) )
To rationalize the denominator , multiply both top and bottom of the fraction by ( 6i)
= 18i / ( 6i * 6i) = 18i / (36 i^2 ) = 18 i / (-36 ) = - i/2
A Ford F-150 truck is considered a half-ton truck because that is how much it can haul. How many pounds can the truck haul?
The truck can haul 1102 pounds.
According to the question,
We have the following information:
A Ford F-150 truck is considered a half-ton truck because that is how much it can haul.
(We will not directly convert ton into pounds. We will follow the following steps.)
Now, we know that 1 ton is equal to 1000 kilograms.
So, half ton makes 500 kg.
Now, to convert this into pounds, we will multiply 500 kg by 2.205 because we know that 1 kg is equal to 2.205 pounds.
1 kg = 2.205 pounds
500 kg = (500*2.205) pounds
500 kg = 1102.5 pounds
Hence, the truck can haul 1102.5 pounds.
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The diagram below shows an equilateral triangle ABC, with each side 3 cm long. The side [BC] is extended to D so that CD = 4 cm.What is the length of side AD?Round your answer to two decimal places.
The triangle ABC is an equilateral triangle. This means that each angle equals 60°. Hence, the angle at B is 60°.
The length of each side of ABC is given to be 3 cm long.
We can get the length of side AD by solving the triangle ABD using the Cosine Rule given to be:
[tex]a^2=b^2+c^2-2bc\cos A[/tex]Since we're considering triangle ABD, and we have the measure of angle B, we can use the relationship:
[tex]b^2=a^2+d^2-2ad\cos B[/tex]Note that a, b, and d are the sides, such that:
[tex]\begin{gathered} a=BD=BC+CD=3+4=7\operatorname{cm} \\ b=AD \\ d=AB=3\operatorname{cm} \end{gathered}[/tex]Substituting these values, we have:
[tex]\begin{gathered} AD^2=7^2+3^2-2(7\times3\times\cos 60) \\ AD^2=49+9-42\cos 60 \\ AD^2=37 \\ AD=\sqrt[]{37} \\ AD=6.08\operatorname{cm} \end{gathered}[/tex]The length of AD is 6.08 cm to 2 decimal places.
When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon
When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon
What is force?A force is an influence that has the power to alter an object's motion. A force can cause an object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F.Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of the forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of stress that, if unbalanced, can cause the body to accelerate. Pressure is the distribution of several small forces applied over an area of a body. Stress typically results in the flow of fluids or the deformation of solid materials.To learn more about force, refer to
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Estimate what fraction of the 900-mile trip the car has traveled. Write your answer in simplest form.
Based on the distance of the entire trip, the fraction of the trip that the car has travelled is 514 ²/ ₇.
How far has the car gone?The diagram is divided into 7 parts which means that each part can be said to be:
= 1/7 of the journey
The car is in the 4th part so that means that the fraction of the trip that has been traveled is:
= 4 / 7
Given the total miles of the trip, this would be:
= 4/7 x 900
= 514.29
= 514 + 29 / 100
= 514 ²/ ₇
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PLSS HELP I NEED ASAP
Answer:
m = -5
n = -2
Step-by-step explanation:
5m + 6n = -37
10m + 4n = -58 multiply first equation by -2
-2 × 5m + 6n = -37
-10m + (-12n) = 74 now add two equations up
10m - 10m + 4n - 12n = 74 - 58 add/ subtract like terms
-8n = 16 divide both sides by -8
n = -2
to find the value of m, replace n with -2 in the first equation
5m + 6*(-2) = -37
5m - 12 = -37 add 12 to both sides
5m = -25 divide both sides by 5
m = -5
Please solve the following. 12 divided by 3 . 5 - 4 to the power of 2
Answer:
44
:)
Step-by-step explanation:
The radius of Circle A is 6 in. The radius of Circle B is 2 in. greater than the radius of Circle A. The radius of Circle C is 4 in. greater than the radius of Circle B. The radius of Circle D is 3 in. less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
Area of circle A is 113.04 in²
Area of circle B is 200.96 in²
Area of circle C is 452.16 in²
Area of circle B is 254.34 in²
The number of times that the area of Circle D greater than Circle A is 2.25
What are the areas of the circles?A circle is a bounded figure which points from its center to its circumference is equidistant.
Area of a circle = πr²
Where :
π = pi = 3.14R = radiusArea of circle A = 3.14 x 6² = 113.04 in²
Area of circle B = 3.14 x (6 + 2)² = 200.96 in²
Area of circle C = 3.14 x (8 + 4)² = 452.16 in²
Area of circle B = 3.14 x (12 - 3)² = 254.34 in²
Number of time that is the area of Circle D greater than Circle A = 254.34 in² / 113.04 in² = 2.25
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11th term of the arithmetic sequence with the rule an= - 2 + 6(n - 1)?
⇒Given that the general rule to find the nth term is
[tex]T_{n} =-2+6(n-1)[/tex]
⇒To find the 11th term this means that they need a term which is in the position 11
⇒To get the number we plug in the 11 which is the position in the place of n and simplify.
[tex]T_{11} =-2+6(11-1)\\T_{11} =-2+6(10)\\T_{11} =-2+60\\T_{11} =58[/tex]
The 11th term is 58
Goodluck!!!
₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters
whats the answer? one angle of a triangle mesuares 98°. the other two angles are congruent. enter and solve an equation to find the mesuare x of the congruent angles.
Congruent angles simply means angles that are equal. A triangle has three angles . Since one of the angle is given as 98 degree, the other 2 angles which are congruents are therefore equal. The total angle of a triangle is equals to 180 degree. Therefore,
[tex]\begin{gathered} x+x+98=180 \\ 2x+98=180 \\ 2x=180-98 \\ 2x=82 \\ x=\frac{82}{2} \\ x=41 \end{gathered}[/tex]x = 41 degree
The width of a classroom is 4m less than the length.its area is 45m raised to power of two .find the dimensions of the class room
Length =9 , second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
What is quadratic equation?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
L= 4 + W
Area is 45, so
L times W = 45
substituting the value of L, we get (4+W)*W=45, after simplifying this we get
4W+W2=45
W2+4W-45=0, this is a quadratic equation and after solving this we get the factors 9 and -5
( W+9) and (W-5) = 0
we get W=-9 or W=5, since width cannot be negative, so width = 5
substituting the value of W=5 in L = 4 +5, we get length = 9
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Second-order polynomial equation in one variable, length = 9. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.
What is quadratic equation?A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution might be straightforward or difficult.
L= 4 + W
Since the area is 45, L times W = 45. Substituting the value of L, we get (4+W)*W=45. Simplifying this, we get 4W+W2=45. W2+4W-45. = 0. This is a quadratic equation, and after solving it, we get the factors 9 and -5. Since width cannot be negative, we get W=-9 or W=5. Substituting the value of W=5 in L = 4 + 5,
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Directions are with the pic below. Please help with question #1.
Solution:
Let each cubic block be represented with x
Let each spherical block be represented with y
Let each cylindrical block be represented with z
For A,
3x + y = 2y + z
For B,
3x = 5y
For c,
We want to find 3x + 3y
From
3x + y = 2y + z
3x +y -2y =z
3x-y = z-----------------------(m)
From B,
3x = 5y
Substitute 3x = 5y into (m) above
3x-y = z
5y-y = z
4y = z----------------------------------(b)
From C,
3x + 3y = 5y + 3y = 8y
3x + 3y = 2(4y)
3x + 3y = 2z
Recall, z = cylindrical block
The two blocks that will balance C is cylindrical block
A data set has these values: 13, 15, 15, 17, 17, 17, 17, 19, 19, 21. A histogram
of the distribution is shown.
Frequency
4
3
2
0
12 14 16 18 20 22
Which statement does not describe the data set?
A. It has a median of 17.
OB. It has a mode of 17.
OC. It is symmetric.
D. It has a range of 22.
The correct option is option D) it has range of 22
What is the range of a dataset?
It the difference between the minimum and maximum value of the dataset.
We are given a dataset with a histogram and we are asked to find out which of the given options does not describe the data
We find the answer by eliminating the correct option
Our given dataset contains 10 points
Hence the median will be the average of 5th and 6th element
Here the 5th and 6th elements are 17
Hence the median of the dataset is 17
Similarly 17 is repeated 4 times in the dataset. i.e highest number of times
Hence 17 is the mode of the dataset
If you look clearly at the histogram from median it is symmetrical that is left side equal to the right side
But if you look at the range the minimum value is 13 and maximum value is 21
Hence the range of the function is 21-13=8
And not 22
Hence the correct option is option D)
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Determine which set of side measurements could be used to form a triangle.
12, 23, 7
10, 7, 2
8, 3, 11
5, 11, 8
Answer:
5, 11, 8
Step-by-step explanation:
I did the quiz and got it correct :]
