What is the inverse of Vx +4,
Answer:
c. X^2 - 4
Step-by-step explanation:
Replace X with Y
X = Sqrt(Y+4)
square both sides to solve for Y
X^2 = Y+4
subtract 4 from both sides
X^2 - 4 = Y
answer option C is correct
which is 5,291, written in scientific notation?
Answer:
5.291 x 10⁶
Step-by-step explanation:
Why is 5,291,000 written as 5.291 x 106 in scientific notation?
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 5,291,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 5,291,000
New Number: 5.291000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 2 9 1 0 0 0
Decimal Count: 1 2 3 4 5 6
There are 6 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 5.291 (Please notice any zeroes on the end have been removed)
b = 6
Now the whole thing:
5.291 x 10⁶
Step 4
Check your work:
10⁶ = 1,000,000 x 5.291 = 5,291,000
ben exercises every 12 days and isabella every 8 days. both isabella and ben exercised today. how many days till they exercise together again?
Answer:
24 days
Step-by-step explanation:
lowest common multiple of 12 and 8 is
24
For them to exercise together again, the day must be a common multiplier of 12 and 8
12 = [tex]2^{2} . 3[/tex]
8 = [tex]2^{3}[/tex]
So, their LCM is [tex]2^{3} .3 = 24[/tex]
=> After 24 days, they will exercise together again.
A movie theater charges $6.00 for children's tickets, and $8.75 for adult tickets. If the
movie theater made $1297.50, and there were 175 total tickets sold, how many adults
and how many children attended the movie?
If V(-5, -2) is
reflected in the line
y = -6, what are
the
coordinates
of V?
Answer:
(-5, - 10 )
Step-by-step explanation:
y = - 6 is a horizontal line parallel to the x- axis passing through all points with a y- coordinate of - 6
under a reflection in this line the x- coordinate of the point V is the same
V (- 5, - 2 ) with y- coordinate - 2 is 4 units above y = - 6
the reflected point will therefore be 4 units below y = - 6, that is - 10 , then
V (- 5, - 2 ) → V' (- 5, - 10 )
help!!!!!!! hurry and help me pls!
Answer:
(2, 4)
Step-by-step explanation:
A reflection across the y-axis, will simply change the sign of your x-coordinate to positive rather than negative, this gives you a new point (2,4).
Which of the following is NOT considered a parallelogram?
A. Rhombus
B. Rectangle
C. Square
D. Trapezoid
Answer:
Trapezoid
Explanation:
A trapezoid does not have two pairs of parallel sides.
Answer: D. Trapezoid
Step-by-step explanation:
posting this again please help^
I have no idea thank me for my help
Kiran has a toy car collection. He keeps some in a display case and the rest on the wall. 195 of his toy cars are on the wall, and 35% of his toy cars are in the display case. What is the total number of toy cars in Kiran's collection?
35% are in display cases which means 65% are on the wall.
this means 195 cars is 65% of the collection.
to get total number of cars in the collection divide 195 by 65%
195/0.65 = 300
answer: 300 total cars
Which expressions are equivalent to In e?
Answer:
1
log 10
Step-by-step explanation:
In e = 1
In e = log 10
Hope it helps you in your learning process.
Please help!!!!!! :)
Answer:
Option D
Step-by-step explanation:
Given equation:
-4x + 2 = -14This equation can be solved by:
Isolating the variable(s) and its coefficient(s) on one side of the equation. Dividing both sides of the equation by the coefficient of "x" to isolate x.Subtracting 2 both sides of the equation (according to step 1):
⇒ -4x + 2 = -14⇒ -4x + 2 - 2 = -14 - 2⇒ -4x = -16Dividing -4 to both sides of the equation (according to step 2):
⇒ -4x = -16⇒ -4x/-4 = -16/-4⇒ x = 4Therefore, Option D is correct.
Learn more about this topic: https://brainly.com/question/27460957
Answer:
d) 4
Step-by-step explanation:
Solving for the value of x,
→ -4x + 2 = -14
→ -4x = -14 - 2
→ -4x = -16
→ x = -16/-4
→ [ x = 4 ] {option d}
Verification of the value of x,
→ -4x + 2 = -14
→ -4(4) + 2 = -14
→ -16 + 2 = -14
→ -14 = -14
→ [ LHS = RHS ]
Hence, the value of x is 4.
61, 98, 60, 60, 57, 81, 93
Mean
Median
Mode
Range
find the sum of all the values and divide the sum by the number of values.
[tex] \frac{(61 + 98 + 60 + 60 + 57 + 81 + 93)}{7} = \frac{510}{7} [/tex]
[tex] = 72.86[/tex]
median:arrange the values in either ascending or descending, and find the number in the middle.
[tex]57 \: 60 \: 60 \: 61 \: 81 \: 93 \: 98[/tex]
[tex] = 61[/tex]
mode:the most frequently occurred number.
[tex] = 60[/tex]
range:arrange the values in ascending order and subtract the lowest value from the highest one.
[tex]98 - 57[/tex]
[tex] = 41[/tex]
PLEASE HELP!! 50 POINTS!!
Part A
[tex]\sf{ change \ of \ base \sf \ : \ \ \ \log _{b} a=\dfrac{\log _{d} a}{\log _{d} b}}[/tex]
Part B
Some common choices for base:
2310Part C
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{\log _{3} 3}{\log _{3} 2}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.631}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=\dfrac{1}{0.630929}}[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3=1.584962501[/tex]
[tex]\longrightarrow\ \sf \log _{2} 3 = 1.58[/tex]
1.58 is the value when rounded to nearest hundredth.
look at attachment hurry
Answer:
the top one on the right
Step-by-step explanation:
i used desmos graphing calculator
A line parallel to the graph of (y − 4) = m(x − 7) passes through (−1,−2) and (m, 10). If
m > 0, what is the value of m?
Answer:
Step-by-step explanation:
Givens
These are the givens for the second line. The second line also has m (same value) as the x coordinate of one of the points. I'm not sure why you are given the first line.
x1 = - 1
x2 = m
y1 = - 2
y2 = 10
Second line formula for m
m = (y2 - y1) / (x2 - x1) Substitute values for this equation
Solution
Note that the m you seek is both the slope of the second line, and the x coordinate of one of the points.
m = (10 - - 2) / (m - - 1) Change the double minus, and combine
m = 12 / (m + 1) Multiply both sides by (m + 1)
m(m+1) = 12 Remove the brackets
m^2 + m = 12 Subtract 12 from both sides.
m^2 + m - 12 = 0 Factor
(m + 4)(m - 3) = 0
We are told that m >0
So m- 3 = 0
m = 3
Answer
The value for m = 3. The first line also has a slope of 3
An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?
4 hours
T= d/s
= 2720/680
= 4
Hope this helps!
"All rational functions have asymptotes and points of discontinuity." Katlyn wants to put this statement in her math book. Is this statement true? Explain, for her benefit, using 2 examples
Answer:
Not true.
Step-by-step explanation:
A rational function is like P(x) / Q(x) where P and Q are polynomials.
Examples would be x^2 / (x^2 - 2) and x^2 / (x^2 + 2).
Now the first one will have a vertical asymptote at x = √2 because this value would make the denominator zero.
The second one will have no asymptotes because the only value that would make x^2 + 2 = zero is not real (it would be √2i). So the domain of this is all real numbers , and no asymptotes.
What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses
The percent of the utterances in the sample need to be 1 word in length is 13.3%.
How to calculate the percentage?Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.
Therefore, the percentage will be:
= 1 word/Total words × 100
= 12/90 × 100.
= 13.3%
In conclusion, the percentage is 13.3%.
Learn more about percentages on:
https://brainly.com/question/24877689
a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4
Answer:
b. translation; four units left and six units down
Which inequality has the graph shown below?
Four congruent right triangles are cut off the corners of a square. The diagram below shows
the dimensions of thesquare and the congruent right triangles.
What is the area of the shaded part of the diagram?
A. 18 sq. in
B. 20 sq. in
C. 28 sq. in
D. 34 sq. in
Answer:
C
Step-by-step explanation:
Find area of all trinagles and subtract that by total area of square.
Find the circumference of each circle. Use 3.14 or 22/7 for π. Round to the nearest tenth if necessary.
I'm going to keep asking because I have no clue how to solve these
Answer:
219.8 yd
Step-by-step explanation:
Circumference Formula= πd or 2πr
Plug in the values. The diameter of this circle is 70 yds.
70(3.14) (replace 3.14 for π)
70*3.14=219.8 yds
Hope this helps ^^
A helicopter is flying at an altitude of 306 meters, at an angle of depression of 38° to its landing pad. What is the distance d between the helicopter and the landing pad? Round your answer to the nearest whole number.
Answer:
497 mStep-by-step explanation:
Use tigonometry to find the value of d
sine = opposite side / hypotenuse306/d = sin 38°d =306/sin 38° d = 497 m (rounded)Answer:
497 m (nearest whole number)
Step-by-step explanation:
As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the given diagram:
[tex]\theta[/tex] = 38°O = 306 mH = dSubstitute the values into the formula and solve for d:
[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]
[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]
[tex]\implies \sf H=497.0263891...[/tex]
Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).
Find the area of the figure. Use 3.14 as π.
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Answer:
D. 94.25
Step-by-step explanation:
Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle
The formula for the area of a triangle is: base x height x 1/2
11 x 10 x 1/2 = 55
To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14
So the radius is 5 since 10 is the diameter of the circle
Now we have to square that which is 25
Multiply 25 by 3.14 which is 78.5
Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25
Now you have to add those two areas and that will get your final answer
55+39.25 is 94.25
So the area for this figure is 94.25 square inches
Please help me with this problem I’m very confused and cannot figure it out
Evaluate 49x - 2 when x = 1
Answer:
49(1) - 2 =
49x1=49
49 - 2 = 47 is your answer
Answer:
47
__________________________________________________________
SolveIf the variable, x has an assigned value, you must multiply the number behind x by the assigned value.
[tex]49 * 1 = 49[/tex]
Lastly, subtract by 2
[tex]49 - 2 = 47[/tex]
________________________________________________________
Questions?Ask me in the comments box.
Help?? Thanks if you do
Answer:
l = 6[tex]a^{4}[/tex] + 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then
3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )
w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1
one side of a triangle is 8 inches long and another side is 4 inches long. The third side is opposite an obtuse angke. What is a possible length of the third side? Explain
Answer:
it should be over 8 inches long
Step-by-step explanation:
by the instructions
a side of a triangle is 8 inches and other one is 4 inches
and the OPPOSITE of OBTUSE angle is the 3 Rd one
As the Third side which connect the 1st and 2nd side ( of the obtuse angle) it should be over 8 inches.
A 48-fluid-ounces container of orange juice costs $.2.40.A 60-fluid -ounces container of orange juice costs $3.60.Which is the better coast
Answer:
48/2.40 = 60/360
Step-by-step explanation:
do a proportion chart
Einstein's theory of Relativity E=mc²
Answer:
Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.
The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries.
×
E=mc2
In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.
The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."