Answer:
14
Step-by-step explanation:
Given:
a1 = 1.75
a2 = 3.5
a3 = 7
a5 = 28
Find:
a4 = ?
Computation:
Common multiply (d) = a2/a1, a3/a2
Common multiply (d) = 3.5/1.75, 7/3.5
Common multiply (d) = 2
So,
a4 = a3 × Common multiply
a4 = 7 × 2
a4 =14
Graph the image of the figure after a dilation with a scale factor of 1/3 centered at(1, - 2).
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
Step-by-step explanation:
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
What does Cos a/2 equal to?
Answer:
cos(α2)= −1/5√2
Step-by-step explanation:
you are given tan(α)=7/24 , so you can find the length of the hypotenuse using the Pythagorean theorem, which is a2+b2=c2 with a and b being the legs of the triangle and c being the hypotenuse of the triangle.
c2=7^2+24^2
⟹c2=49+576
⟹c2=625
⟹c=25
if π<α<3π/2 , then α has to lie in quadrant III where cosine is negative. so cos(α)= −24/25
The half-angle identity for the cosine function is cos(α2)=±√1+cos(α)/2 , so plugging the information in, we get
cos(α2)=±√ 1+(−24/25)/2
⟹ cos(α2)=±√1/25 / 2
⟹cos(α2)=±√1/50
⟹cos(α2)=±1/5√2
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
PLEASE HELP! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies.
Answer:
A random movie is between 1.8 and 2.0 hours.
z=1.8-1.9/0.3= -0.33= 0.3707
z=2.0-1.9/0.3= 0.33= 0.6293
0.6293-0.3707= 0.2586
Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.
A movie is longer than 2.3 hours.
z=2.3-1.9/0.3 =1.33 =0.9082
1-0.9082= 0.0918
Therefore, the chance a movie is longer than 2.3 hours is 0.9082.
The length of movie that is shorter than 94% of the movies
z=x-1.9/0.3= 0.94
z=x-1.9/0.3= 1-0.94= 0.06
=x-1.9/0.3= 0.06= -1.56
x= 1.432
Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.
Step-by-step explanation:
You have an option between two cell phone plans. One costs $29 per month and charges $0.15 per text
message. The second option costs $65 and charges $0.05 per text message. How many messages would
have to send so the costs equal each other?
36
60
ant
360
3,600
27. Solve the equation.
Answer: r=-56
Step-by-step explanation:
multiply 7 on both sides
[tex]\frac{7r}{7}=7\left(-8\right)[/tex]
7*-8=-56
7 and 7 is eliminated
so x=-56
Answer:
r= -56
Step-by-step explanation:
The equation given is:
[tex]\frac{r}{7}= -8[/tex]
We want to solve for r. In order to do this, we must get r by itself.
Currently, r is being divided by 7. We want to perform the inverse, which is multiplication. Therefore, we should multiply both sides of the equation by 7.
[tex]7*\frac{r}{7}= -8 * 7[/tex]
[tex]r=-8*7[/tex]
[tex]r= -56[/tex]
Let's check our solution. Substitute -56 back in for r and solve.
[tex]\frac{r}{7}= -8[/tex]
[tex]\frac{-56}{7}= -8[/tex]
[tex]-8=-8[/tex]
Both sides of the equation are the same, so we know our answer is correct.
Can someone help me find what the highlighted part came from?
Answer:
[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]
[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]
[tex]\cos(2\pi) = 1[/tex]
The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.
ASAP simplify -3(2c+5)=33
Answer:
c=8
Step-by-step explanation:
-3(2c+5)=33
-6c-15=33
-6c=33+15
-6c=48
c=48/6
c=8
Answer:
if you are solving for C it will be -8.
Step-by-step explanation:
Start by dividing both sides of the equation by -3.
2c + 5= -11
Now Subtract 5 from both sides
2c = -11 - 5 (combime like terms) so 2c = -16
Now divide both sides by 2
You will get C= -8
Arrange the following numbers in increasing order: \begin{align*} A &= \frac{2^{1/2}}{4^{1/6}}\\ B &= \sqrt[12]{128}\vphantom{dfrac{2}{2}}\\ C &= \left( \frac{1}{8^{1/5}} \right)^2\\ D &= \sqrt{\frac{4^{-1}}{2^{-1} \cdot 8^{-1}}}\\ E &= \sqrt[3]{2^{1/2} \cdot 4^{-1/4}}.\vphantom{dfrac{2}{2}} \end{align*}Enter the letters, separated by commas. For example, if you think that $D < A < E < C < B$, then enter "D,A,E,C,B", without the quotation marks.
Answer:
The order is "D, B, A, E, C".
Step-by-step explanation:
The numbers are as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}\\\\B = \sqrt[12]{128}\\\\C=(\frac{1}{8^{1/5}})^{2}\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}[/tex]
Simplify the value of A, B, C, D and E as follows:
[tex]A=\frac{2^{1/2}}{4^{1/6}}=\frac{2^{1/2}}{2^{2/6}}=\frac{2^{1/2}}{2^{1/3}}=2^{1/2-1/3}=2^{1/6}=1.1225\\\\B = \sqrt[12]{128}=(128)^{1/12}=(2^{7})^{1/12}=2^{7/12}=1.4983\\\\C=(\frac{1}{8^{1/5}})^{2}=(\frac{1}{(2^{3})^{1/5}})^{2}=(\frac{1}{2^{3/5}})^{2}=\frac{1}{2^{3/5\times2}}=\frac{1}{2^{6/5}}=2^{-6/5}=0.4353\\\\D = \sqrt{\frac{4^{-1}}{2^{-1}\cdot 8^{-1}}}=\sqrt{\frac{2^{-2}}{2^{-1}\cdot 2^{-3}}}=\sqrt{2^{-2+1+3}}=2\\\\E = \sqrt[3]{2^{1/2}}\cdot 4^{-1/4}= (2^{1/2})^{1/3}\cdot 2^{-2/4}=2^{-1/3}=0.7937[/tex]
Arrange the following numbers in increasing order as follows:
D > B > A > E > C
Thus, the order is "D, B, A, E, C".
Answer:
C, E, A, B, D
Step-by-step explanation:
I had this question and this was the correct answer
How many 3-digit even numbers are there that begin with either 5 or 6?
Answer:
100 numbers
Step-by-step explanation:
There are 100 numbers with 5 as the hundreds digit. (500-599)
There are 100 numbers with 6 as the hundreds digit. (600-699)
There are 50 even numbers with 5 as the hundreds digit.
(500, 502, 504, ... , 598)
There are 50 even numbers with 6 as the hundreds digit.
(600, 602, 604, ... , 698)
50+50=100 numbers
I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?
Answer:
0.43 is the answer
Step-by-step explanation:
you need to take the total of action movie and divide it by the grand total.
204/478 ≈ 0.43
The probability that a randomly chosen person from this group an action movie is 0.43.
What is probability?Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.
Hence;
Probability of a male watching an action movie = 105/479
Probability of a female watching an action movie = 99/479
probability that a randomly chosen person from this group an action movie = 105/479 + 99/479 = 0.43
Learn mor about probability: https://brainly.com/question/14227610
Which side lengths form a right triangle?
Answer:
B. 5, 12, 13
Step-by-step explanation:
√5²+12²=13 - yes
√4²+7²= 8.06- no
√20²+22²=29.73 - no
SIMPLIFY THIS −4(w+1)=−24 ASAP
Answer:
5
Step-by-step explanation:
Answer:
W=5
Step-by-step explanation:
First we distribute the -4 in
-4w - 4 =-24
Now we isolate the -4w by adding 4 to both sides
-4w=-20
Now divide
w=5
Have a good day!
if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab))
O (a - b)^)
O (a + b)(x)
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
Data provided in the question
a(x) = 2x - 4
b(x) = x + 2
Now we go through each options
First option
[tex](ab)(x)=(2x-4)(x+2)[/tex]
[tex]=2(x-2)(x+2)[/tex]
[tex]=2(x^2-4)[/tex]
[tex]=2x^2-8[/tex]
Second option
[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]
Third option
[tex](a-b)(x)=(2x-4)-(x+2)[/tex]
[tex]=2x-4-x-2[/tex]
= x - 6
Fourth option
[tex](a+b)(x)=(2x-4)+(x+2)[/tex]
[tex]=2x-4+x+2[/tex]
= 3x - 2
As we can see from the above options only option A is correct i.e it only produced a quadric function
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2000 ft x 2= 4000 ft
So the answer is 4000 ft
Perform the following operation and express the answer in scientific notation. 9x10^2/3x10^12
Answer:
3 multiplied by 10^-10
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Answer:
the distance of the Bird (B) from the plane (P) is = 10779 ft
Step-by-step explanation:
From the given information:
a diagrammatic representation is attached below for better understanding and solution to the question.
From the diagram;
Let the Bird (B) be represent as A
The plane (P) be represented by B
The observer be represented by O
and the tower T be represented by C
we will see that:
[tex]\overline {AB} \ \| \ \overline {OC}[/tex]
Also;
[tex]\angle ABO = \angle BOC = 33^0[/tex]
AO = BC = 7000
Let consider the trigonometry of triangle BAO
tan θ = opposite/adjacent
tan 33° = 7000/x
0.6494 = 7000/x
x = 7000/0.6494
x = 10779.18
x = 10779 ft ( to the nearest whole number)
Thus; the distance of the Bird (B) from the plane (P) is = 10779 ft
Answer: 10,779 feet
Step-by-step explanation: I just took the test and got it right
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°
Answer:
The correct option is C
C) 76°
Step-by-step explanation:
The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.
We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.
<2 = <4
126 = 7x
x = 18
Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.
<7 = <5
<7 = 4x+4
Substitute x=18
<7 = 4(18) + 4
<7 = 76°
Answer:
option c
Step-by-step explanation:
hope this helps :)
Find the product or type
"impossible"
4
[1 -2 1] 5
16]
9514 1404 393
Answer:
[0]
Step-by-step explanation:
The product is the sum of the products of corresponding terms:
1·4 +(-2)·5 +1·6 = 4 -10 +6 = 0
The product is the 1×1 matrix: [0].
Write the equation of the line that passes through the points (8,-2)(8,−2) and (5,5)(5,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]
Now we use this slope in the general slope-intercept form of a line;
[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]
The the equation of the line is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Use the following random list of 100 numbers and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question below. 3199 9288 1023 1130 0809 1770 6231 7538 8927 4761 7258 7111 0209 0916 1450 9848 4654 7579 6150 3093 9608 0061 4014 9501 0382 3052 2385 9074 1664 6551 6577 1811 3454 5870 1277 5056 1063 5697 9141 4120 9181 1343 0168 3693 0463 4842 1704 3774 4908 4161 6404 9675 2518 3988 4268 6083 0636 9634 5295 5656 1918 3133 6831 8393 6363 2452 1531 1638 1317 2279 9395 0702 2091 5269 0422 0275 3373 1424 1958 0356 5163 0743 6658 6257 2772 0570 4522 2665 0890 3560 5549 2238 2172 9715 9741 4975 6617 9034 4441 8220 Based on the results of the simulation, what is the experimental probability that a group will include only boys? Based on the results of the simulation, what is the experimental probability that a group will not contain four boys? Based on the results of the simulation, if 224 groups are formed, about how many of them would you expect to contain all girls? Round your answer to the nearest number of groups.
9514 1404 393
Answer:
a) P(boys only) = 6/100
b) P(not boys only) = 94/100
c) 20
Step-by-step explanation:
a) Six (6) of the numbers simulate groups of all boys: 7579, 6577, 5697, 9675, 5656, 6658. So, the experimental probability of a group being all boys is ...
6/100 = 0.06
__
b) The other 94 groups do not include only boys. The probability that group will not contain four boys is ...
1 -6/100 = 94/100 = 0.94
__
c) Nine (9) of the groups contain all girls. Based on these results, you would expect ...
9/100 · 224 ≈ 20 . . . . groups to contain all girls
Answer:
9514 1404 393
Step-by-step explanation:
9/100 · 224 ≈ 20 . . . . groups to contain all girls
3/16 + 1/8 + 1/4 =?
Simple math let’s see who answers it right !
Answer:
9/16
Step-by-step explanation:
3/16 + 2/16 + 4/16 = 9/16
Answer:
9/16
Step-by-step explanation:
To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.
Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x
Answer:
B. y = sin x
Step-by-step explanation:
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
Heellllpppp! Please!
Answer:
6x+25
Step-by-step explanation:
six times a number
6x
The sum of this and 25
6x+25
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6
2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?
Answer:
22
Step-by-step explanation:
In this sequence, the next number is found by adding 4.
Answer:
22
Step-by-step explanation:
10 - 6 = 4
so, all next numbers have to be added by 4
i have 2 questions in a section 1. Translate the following phrase into an algebraic expression. Use the variable c to represent the unknown quantity. the total of the number of cars in the garage and the 6 cars outside 2.Translate the following phrase into an algebraic expression. Use the variable d to represent the unknown quantity. the number of dollars Paul owes minus 32
Answer:
[tex]c+6[/tex]
[tex]d-32[/tex]
Step-by-step explanation:
We need to translate the given phrases into an algebraic expression.
1.
Let variable c represents the unknown quantity.
The total of the number of cars in the garage and the 6 cars outside.
Required expression : Cars in garage + Outside cars
[tex]c+6[/tex]
Therefore, the required expression is [tex]c+6[/tex].
2.
Let variable d represents the unknown quantity.
The number of dollars Paul owes minus 32.
Required expression : Number of dollars Paul owes - 32
[tex]d-32[/tex]
Therefore, the required expression is [tex]d-32[/tex].
Demario says that the point (1, 5) on the graph below means that one hat costs $5.00. Is Demario correct? yes or no
Answer:
I think that Demario is correct.
I think he is correct because the point is (1,5) and it says 5 in dollars.