Answers
Answer:
a. -10/13*3/13
b. -30/169
Step-by-step explanation:
Related Questions
In 2001 Arnold was x years old. Ken is 34 years younger than Arnold. In 2013 Arnold is three times as old as Ken. Write down an equation in x and solve it.
Answers
Answer:
x = 54
Step-by-step explanation:
x/3 = x-36
x= 3x-36.3
2x= 36.3
x = 18.3
x = 54
Answer:
(x +12) = 3((x -34) +12)x = 39Step-by-step explanation:
The given age ratio is valid 12 years after the age at which Arnold was x years old. When Arnold was x, Ken was x-34.
(x +12) = 3((x -34) +12) . . . . . the age relation in 2013
__
Solving for x, we have ...
x +12 = 3x -102 +36
78 = 2x . . . . . . . add 66-x
39 = x
In 2001, Arnold was 39 years old.
_____
Additional comment
In 2001, Arnold was 39 and Ken was 5. Ken is 34 years younger.
In 2013, Arnold was 51 and Ken was 17. Arnold was 3 times Ken's age.
Which of the following could be given lengths of sides of a triangle? Check all that apply.
Answers
When given three side lengths:
--> the three sides lengths that can form a triangle are the ones where
the sum of two side lengths of a triangle is always greater than the
third side
Thus the choice that fits the requirement is choice (C).
Hope that helps!
Hi please help me out and add an explanation if u can!
Answers
What do we know
-the pentagon is a regular pentagon meaning all its side lengths
are equal since all the sides have one tick mark which says all
the side lengths are equal
2. Solve:
Perimeter: 6 + 6 + 6 + 6 + 6 = 30cm
Question 2: Find the height of the prismHeight of the prism
⇒ distance between the base pentagon and the top pentagon
⇒ Height is 6 cm
Question 3: Find the Lateral AreaDefinition of Lateral Area: it is only the area of the non-base faces
⇒ the non-base faces are the squares on the side of the figure
⇒ there are 5 squares
⇒ Lateral Area = 5 * (Area of Square) = 5 * (6 * 6) = 180 square cm
Question 4: Find the area of the base
The formula for the pentagon's area ⇒ [tex]\frac{5}{2}*s*a[/tex]
s --> length of the sides of the pentagon --> 6cma --> apothem length --> 4.1 cm*apothem is the distance from the center of the pentagon to any
one of the sides
Area = [tex]\frac{5}{2} *6*4.1 = 15 * 4.1 =[/tex] 61.5 square centimeters
Question 5: Find the surface areaDefinition of Surface Area: all the areas of different sides added upSurface Area = 2 * (Area of Base) + (Lateral Area)
= 2 *61.5 + 180 = 123 + 180 = 303 square centimeters
Hope that helps!
If the circumference of a circle is 88 cm find its area
Answers
Solve the following equations and check your solution using substitution.
5−x=−2
(BTW can you show the working out for the question)
Answers
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
We can add the same quantity to both sides of the equations, and still have an equivalent equation. Let's add [tex]x+2[/tex] to both sides, then sum like terms
[tex]5-x +x+2 = -2 +x+2\\5+2 = x\\7=x[/tex]
(this is the rule that allows us to move items from one side do the other of the equal sign by changing its sign)
At this point we have a solution, let's replace it to verify
[tex]5-(7) = -2\\-2=-2[/tex]
A field is shaped like the diagram below.
It is a rectangle with semicircles at two ends. There is a running track around the perimeter of the field.
(a)
100 m
64 m
What is the circumference of the track?
Answers
Step-by-step explanation:
must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track
The perimeter of the track is 464 m
What is a perimeter?The length around an object is called its perimeter.
Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.
The dimension of the rectangle are 100 m and 64 m
The distance between the outer an dthe inner track is 10 m,
The diameter of the outer semicircles is 64+10+10 = 84 m
Therefore, is radius = 42 m
The perimeter of the outer semicircle = 2×π×radius
= 2×3.14×42
= 264 m
The length of the two straight lines = 100 + 100 = 200 m
Therefore, total perimeter of the whole track = 200+264 =464 m
Hence, the perimeter of the track is 464 m
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The figure for this question is:
Find the common factor of all the terms of the polynomial 16x2 - 14x. O A. 2x² O B. 44² O c. 2x O D. 4x
Answers
Answer:
c. 2x.
Step-by-step explanation:
16x2 - 14x
Common factor of 16 and 14 = 2'
for x2 and x it is x,
Answer: 2x.
Kurt drove to his college after summer break
The graph shows the distance he traveled during his drive,
Distance Kurt
Traveled
100
y
(1.5,75)
75+
Use the drop-down menus to complete the statements based on the graph.
Distance (miles)
50+
25+
0
Time (hours)
CLEAR
The labeled point means in
hours, Kurt traveled
miles.
In 1 hour, Kurt traveled
miles.
His distance changed at a unit rate of
miles per hour, so Kurt's speed was
miles per hour.
If Kurt had driven more slowly, the slope of the graph would be
Answers
Answer:
1.5 hours; 75 miles50 miles50 miles per hour; 50 miles per hourless/decreased/reduced/smallerStep-by-step explanation:
The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.
The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.
__
You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.
If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.
Omg please help! NO LINKS NO FILES PLEASE!
Answers
Answer: Square is a 17*17. Ok so its 121-25=96
Step-by-step explanation:
96
The height of a projectile that is thrown upward from ground level with an initial velocity of 98 meters per second can be modeled by the equation h = −4. 9t2 + 98t, where h is the height in meters and t is the elapsed time in seconds. Find the time it takes for the projectile to hit the ground
Answers
Using the given function, it is found that the projectile hits the ground after 20 seconds.
When does the projectile hits the ground?It hits the ground when it's height, given by h(t), is equals to zero.
In this problem, the function that models it's height is given by:
h(t) = -4.9t^2 + 98t.
Then:
h(t) = 0
-4.9t^2 + 98t = 0.
-4.9t(t - 20) = 0
t - 20 = 0 -> t = 20.
The projectile hits the ground after 20 seconds.
More can be learned about functions at https://brainly.com/question/25537936
Brainliest if correct
Answers
Answer:
[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]
Step-by-step explanation:
To complete the steps:
[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]
I think the question you are answering a question that does not require simplification so ignore the last bit (= 1/3)
In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST
Answers
The measure of arc RT in the circle S is about 60 degrees.
What is a circle?A circle is the locus of a point such that the distance from its fixed point is always constant.
The question is not complete. A similar question is attached.
From the diagram:
arc RT = 2 * ∠RUT(angle at circle center is twice angle at circumference)
arc RT = 2 * 30
arc RT = 60°
The measure of arc RT in the circle S is about 60 degrees.
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The volume of Mikes rectangular lunch box is 240 cubic inches. The lunchbox is 3 inches deep and its length is 2 inches more then its width. What is the width of Mike's lunchbox
Answers
Answer:
8 inches
Step-by-step explanation:
You first divide 240 by 3 which is 80
Then you find what number is 2 less than the other number that is you multiplied together you get 80
And we know that 8 × 10 = 80
There for the :-
Width is 8 in
Length is 10 in
Hight is 3 in
The proof is if you multiply all of them you have to get 240
And if you multiply 8, 10, and 3 you get 240
Mrs.smith has 5 times many markers as colored pencils. The total number of markers and colored pencils is 54. How many markers does Mrs.smith have
Answers
Answer:
270 Markers
Step-by-step explanation:
5 x 54 = 270
(sorry if I'm wrong)
what is Seven less than a number is the same as 2 more than twice the number as a equation?
Answers
n
−
7
=
19
Explanation:
Well first we should look at the part that says "twice a number"
This number can be anything so let's assign a variable to it
Let
n
=
a number
And we also see at the end "twice a number equals 19"
So we get
2
n
=
19
Then we see that "Seven less than"
2
n
all equals
19
So we get
2
n
−
7
=
19
Now if you would want to solve this equation you first add
7
to both sides and we get
2
n
=
26
Then we divide both side by
2
So
n
=
13
25 pts
A rectangular storage box is 12 in.
wide, 15 in. long, and 9 in. high. How
many square inches of colored paper
are needed to cover the surface of
the box?
Answers
Answer:
1,620
Step-by-step explanation:
L x W x H
L = 15
W = 12
H = 9
15 x 12 = 180
180 x 9 = 1620
Help if you understand please and thanks
Answers
Answer:
y = 4
Step-by-step explanation:
because 5 x 4 = 20 and 20 × 4 = 80 and so on y is equal to four
A large automobile manufacturing plant produces 1200 new cars every day. a qualitycontrol inspector checks a random sample of 90 cars from one day’s production and finds that 12 of them have minor paint flaws. calculate and interpret a 99% confidence interval for the proportion of all cars produced that day with minor paint flaws.
Answers
Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The other parameters are given by:
[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]
Then, the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]
The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.
More can be learned about the z-distribution at https://brainly.com/question/25890103
look at the screenshot
Answers
Answer:
x = 5
y = 2
Step-by-step explanation:
multiply by -2 the second equation and add the first equation to eliminate "x"
[tex]4x+5y=30\\-4x-10y=-40[/tex]
_______________
[tex]-5y=-10\\y=\frac{-10}{-5} =2[/tex]
To find "x", substitute the value of "y" in any equation. I do it in the first
[tex]4x+5(2)=30[/tex]
[tex]4x+10=30[/tex]
[tex]4x=30-10\\x=20/4=5[/tex]
Hope this helps
Answer:
i got you
Step-by-step explanation:
first you will make the easiest equation into y=mx+b
2x=5y=20
subtract 2x from it self and 20, you will eliminate the 5 but keep the y then you will get y=2x+20
then you will substitute it into the y in the other equation 4x+5(2x+20)=30
after doin that you will multiply 5 by both the number in the parenthesis
4x+15x+100=30 add like terms 4x+15x =
19x+100=30 subtract 100 fromm itself and 30 you will get -70
-70 divided by 19x then you will get your answer
The maroon team and the orange team played a game of football. The maroon team scored 30 points and the orange team scored 9 points. What is the ratio of points scored by the maroon team to points scored by the orange team?
Answers
Answer:
30:9 or if you want it simplified 10:3
Step-by-step explanation:
12% of what number is 96? Enter your answer in the box.
Answers
Answer:
800
Step-by-step explanation:
96/12=8
8 x 100= 800
Answer:
Your answer is 800
Step-by-step explanation:
Use the equation, (1/27)^x=3^(-4x+6), to complete the following problems.
Rewrite the equation using the same base.
Solve for x. Write your answer as a fraction in simplest form.
Please show all work, and refrain from posting links, thank you!
Answers
Answer:
Given equation:
[tex]\left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]
27 can be written as [tex]3^3[/tex]
Also [tex]\dfrac{1}{a^b}[/tex] can be written as [tex]a^{-b}[/tex]
[tex]\implies \dfrac{1}{27}=\dfrac{1}{3^3}=3^{-3}[/tex]
Therefore, we can rewrite the given equation with base 3:
[tex]\implies (3^{-3})^x=3^{(-4x+6)}[/tex]
To solve, apply the exponent rule [tex](a^b)^c=a^{bc}[/tex]
[tex]\implies 3^{-3 \cdot x}=3^{(-4x+6)}[/tex]
[tex]\implies 3^{(-3x)}=3^{(-4x+6)}[/tex]
[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex]
[tex]\implies -3x=-4x+6[/tex]
Add [tex]4x[/tex] to both sides:
[tex]\implies x=6[/tex]
a dogs leash is tied to a pole while the owners go into a resturaunt to get the dog some water. if the leash is 7 ft long, and hte dog can walk 180 degrees in a semi circle, how many feet can he walk if he extends the leash as far as it can go.
Answers
Answer: 22 ft
Step-by-step explanation:
The path that the dog can walk if he maximally extends his leash is the path of a semi-circle, which has a radius of 7ft.
The distance along a full circle is given by the circumference of the circle, which is related to the radius. To find the length of the path that the dog walks, we evaluate half the circumference.
[tex]\begin{aligned}&D=\frac{C}{2} \\&D=\frac{2 \pi r}{2} \\&D=\pi r \\&D=7 \pi \\&D \approx 22\end{aligned}[/tex]
Therefore, the dog can walk about 22 ft if he extends the leash as far as it can go.
Write (x^2) ^4without exponents
Answers
Answer:
[tex]x * x + x * x * x * x = y[/tex]
The formula for finding exponents is multiply the number following the exponent by itself that number of times.
help ! 50 points Savanah is shopping for planters for her new plants. Which measurement should she use to determine how much soil each planter will hold?
A. Area
B. Depth
C. Perimeter
D. Volume
Answers
Translate the sentence into an inequality.
The sum of 6 and w is less than -21.
Answers
12, 17, 22, ...
Find the 36th term.
Answers
Answer:
187
Step-by-step explanation:
a=12,d=17-12=5
nth term =a+(n-1)d
36th term=12+(36-1)5
=12+(35×5)
12+175
36th term=187
The value of 36th term is 187.
What is arithmetic progression?An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.
abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.
Given series
12, 17, 22,.....
since the series is in AP because the difference between any two consecutive numbers is equal,
17 - 12 = 5 and 22 - 17 = 5
for nth term of AP
aₙ = a₁ + (n - 1)d
where a₁ = 12, n = 36, d =5
a₃₆ = 12 + (36 - 1)5
a₃₆ = 12 + 35 × 5
a₃₆ = 12 + 175
a₃₆ = 187
Hence 187 is the 36th term.
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Omega House Family restaurant is midway between Forsyth Tech Community College
and the Dash baseball stadium. The coordinates of Forsyth Tech are (7, −5) and the
coordinates of the Dash baseball stadium are (−4, 3). What are the coordinates of the
Omega House?
Answers
The coordinates of Omega house is (3/2, 1)
Data;
Forsyth Tech = (7,-5)Stadium = (-4, 3)Midpoint of a LineTo find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium
[tex]x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})[/tex]
We can substitute the values and solve for both x and y coordinates.
[tex]x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}[/tex]
The value of the y-coordinate is
[tex]y = \frac{-5+ 3}{2} = 1[/tex]
The coordinates of Omega house is (3/2, 1)
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A straight line p through A(-2,1) and B(2,k) the line is perpendicular to a line 3y + 2x =5. Determine the value of k
Answers
Answer:
k = 7
Step-by-step explanation:
To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.
3y = -2x + 5
y = - 2/3x + 5/3
The slope is -2/3, so the perpendicular slope in 3/2
You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.
1 + 6 = 7
The circle below is centered at (10, 4) and has a radius of 4. What is its equation? A. (x - 10)2 + (y - 4)2 = 16 B. (x - 10)2 + (y - 4)2 = 4 C. (x - 4)2 + (y - 10)2 = 4 D. (x - 4)2 + (y - 10)2 = 16
Answers
Answer: A
Step-by-step explanation: