The number [tex]316_7[/tex] is 316 in base seven
The number 316 in base seven is 160 in base ten
How to convert the base to base 10To convert to base 10, we make use of the product rule.
So, we have:
[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]
Evaluate the exponents
[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]
Evaluate the products
[tex]316_7 = 147 + 7 + 6[/tex]
Evaluate the sum
[tex]316_7 = 160[/tex]
Hence, the number 316 in base seven is 160 in base ten
Read more about number base at:
https://brainly.com/question/10873737
In ΔUVW, u = 8 inches, v = 2.7 inches and w=5.9 inches. Find the measure of ∠W to the nearest 10th of a degree.
Answer:32.4
Step-by-step explanation:
The measure of ∠W to the nearest 10th of a degree is, 32.9°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, The cosine rule of triangles, In a triangle, ABC with sides opposite to A is a and similar for b and c.
We have. cosA = (b² + c² - a²)/2bc.
Therefore, m∠W = (u² + v² - w²)/2uv.
m∠W = 0.84.
So, cosФ = 0.84.
Ф = cos⁻¹(0.84).
Ф = 32.9°.
learn more about the cosine rule of triangles here :
https://brainly.com/question/26952873
#SPJ3
A local park is in the shape of a square. A map of the local park is made with the scale 1 inch to 200 feet.
If each side of the park on the map is 12 inches long, how long is each side of the actual square park?
1 inch to 100 feet
12 inches = 1200 feet.
Just multiply both sides by 12.
The answer is 1200 feet.
Ngo has a collection of dimes and quarters with a total value of $5.20. The number of dimes is 4 less than the number of quarters. How many of each coin does he have?
9514 1404 393
Answer:
16 quarters12 dimesStep-by-step explanation:
Let Q represent the number of quarters. Then (Q-4) is the number of dimes, and the total amount of money is ...
25Q +10(Q -4) = 520
35Q = 560 . . . . . add 40
Q = 560/35 = 16
Ngo has 16 quarters and 12 dimes.
what is l4x-4l+10=3x
Answer:
x=−6
Step-by-step explanation:
4x−4+10=3x
Step 1: Simplify both sides of the equation.
4x−4+10=3x
4x+−4+10=3x
(4x)+(−4+10)=3x(Combine Like Terms)
4x+6=3x
4x+6=3x
Step 2: Subtract 3x from both sides.
4x+6−3x=3x−3x
x+6=0
Step 3: Subtract 6 from both sides.
x+6−6=0−6
Answer:
l4x-
Step-by-step explanation:
Sorry I hope this is it I hoped it help sorry.
please leave a thanks.
Adam has $450. He spends $210 on food. Later he divides all the money into four equal parts. Then gives three parts to his friends, and he keeps one for himself. Later, he found $50 on the road.
Answer:
$110
Step-by-step explanation:
450-210= 240÷4= 60 +50=110
If a dose of 100mg is contained in 4cc, how many cubic centimeter are in 40mg?
passes through (0, 1) and (2, 5)
Answer:
y = 2x + 1
Step-by-step explanation:
1. Find the slope: change in y/change in x
[tex]\frac{5-1}{2-0}[/tex] = 2
Slope: 2
2. Find y-intercept by substituting in a point (0, 1)
y = 2x + b
1 = b
3. Put the equation together
y = 2x + 1
The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.
What is y intercept?y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.
The equation of a line in slope intercept form is,
y = mx + c
Here m is the value of the slope and c is y intercept.
Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given two points (0, 1) and (2, 5).
Slope, m = (5 - 1) / (2 - 0)
= 4 / 2
= 2
c is the y coordinate when x = 0.
We have that point given (0, 1).
So c = 1
Substituting m = 2 and c = 1 in the general form, we get,
y = 2x + 1
Hence the equation of the line is y = 2x + 1.
To learn more about y intercepts, click on the link :
https://brainly.com/question/14180189
#SPJ2
Given:
A= The square root of 3
B= 2 times the square root of 3
C= The square root of 25
D= The square root of 16
Which expressions result in a rational number? Select all that apply.
a. a+b
b. c+d
c. a+d
d. a*b
e. b*d
f. c*d
g. a*a
Answer:
b, d, f, gStep-by-step explanation:
Given:
A= √3 B= 2 √3 C= √25 = 5D= √16 = 4Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational
Correct choices
b. c+d = 5+4 = 9d. a*b = √3×2√3 = 2×3 = 6f. c*d = 5×4 = 20g. a*a = √3×√3 = 3I need help please! 7:44 est need rn
Answer:
B. [tex]3^{6}[/tex]
Step-by-step explanation:
[tex]3^{8} = 6561[/tex] [tex]3^{2} = 9[/tex] 6561 ÷ 9 = 729Option B, [tex]3^{6}[/tex], is equal to 729, so that is the right answer.I hope this helps!
Together, Iris and Ivan weigh 120 pounds. Iris weighs 10 pounds less than Ivan. How much does each child weigh?
Answer:
Iris weighs 55 pounds, Ivan weighs 65 pounds.
Step-by-step explanation:
Divide 120 by 2: 60
Then make the 10 pound difference by adding and subtracting 5 to 60 for each answer: 55 and 65.
Iris = 55 pounds
Ivan = 65 pounds
Let x be Iris and y be Ivan.
x+ y = 120
y-10+ y = 120
2y - 10 = 120
2y = 120 + 10
2y = 130
y = 130/2
y = 65 pounds
x = y-10
= 65-10
x = 55 pounds
i’ll mark brainlest to whoever answers this question first! :)
Answer:
me
Step-by-step explanation:
Given the functions:
f(x) = x2 – 9, and g(x) = x3 + 4x² + 8x - 7, find h(x) = f(x) + g(2).
h(x) =
x3 + 5x2 + 80 -16
h(x) = x3 + 3x² + 80 + 2
h(x) = x3 + 5x2 + 8x - 16
h(x)
- 23 - 3x? 8.2 - 2
h(x)
x3 + 3x2 + 8x + 2
Answer:
h(x) = x² + 24
Step-by-step explanation:
First solve for g(2) in g(x) = x³ + 4x² + 8x - 7 by simply substituting 2 in x variable. The result is 33.
Then get the sum of f(x) and 33 to find h(x).
13+18 times 3 what does this equal
Answer:
93
Step-by-step explanation:
13+18 = 31
31x3= 93
Find each key feature of the function shown in the graph. Enter all intervals using interval notation. Enter the x-intercepts as values of x only.
range=
domain=
x-intercepts=
average rate of change over the interval [0,2]=
the right-most interval where the graph is positive=
Answer:
Step-by-step explanation:
Range of the function is the set of y-values (output values) of the function on the graph.
Domain of the function is the set of x-values (input values) of the function.
Domain of the function : [-5, 4)
(including x = -5 and excluding x = 4)
Range : [-4, 2)
(Including y = -4 and excluding y = 2)
x - intercepts : x = -5, -2, 2
Average rate of change over the interval [0, 2]
= [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]
= 2
Right most interval where the graph is positive → [2, 4]
The key feature of a function include the intercepts and intervals of the function
The range is [-4,2)The domain is [-5,4)The x-intercepts are -2 and 2The average rate of change over the interval [0,2] is 2The right-most interval where the graph is positive is [2,4](a) The range
The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.
So, the range is:
[tex]\mathbf{Range = [-4,2)}[/tex]
(b) The domain
The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.
So, the domain is:
[tex]\mathbf{Domain = [-5,4)}[/tex]
(c) The x-intercepts
This is the point where the graph crosses the x-axis.
So, we have:
[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]
(d) Average rate of change over [0,2]
From the graph, we have:
f(0) = -4
f(2) = 0
So, the average rate of change (m) is:
[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]
[tex]\mathbf{m = \frac{4}{2}}[/tex]
[tex]\mathbf{m =2}[/tex]
(d) The right-most interval where the graph is positive
The graph is positive from x = 2 to x = 4.
Hence, the right-most interval where the graph is positive is [2,4]
Read more about features of a function at:
https://brainly.com/question/17343786
The pet store currently has 430 frogs. Last night 114 jumped out and
escaped. What was the inventory before the great frog escape?
Answer:
544
Step-by-step explanation:
430+114
What is the least common multiple of 9, 17, and 51? A. 51 B. 102 C. 153 D. 867
Answer:
C. 153Hope this helps
shshsgshsh
Answer:
C. 153
Step-by-step explanation:
I just did this quiz and got it right!! Hope this helps! :D
Convert the following: 20 meters/30 Seconds to miles per hour
Can someone help me I am confused
i’ve been on this question for 22 minutes please help me
Answer:
F
Step-by-step explanation:
(1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°
Can someone help me please
Answer:
The answer is y = 1/3 |x|
Step-by-step explanation:
3^-3 find the value of power
Answer:
0.037
hope thats the answer
Answer:
Answer= 0.037
Step-by-step explanation:
([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]
(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])
which is equal to [tex]\frac{1}{27}[/tex]
or converted to decimals it will be equal to 0.037
three times a number m
Answer:
3n
Step-by-step explanation:
3 x n
simplifies to be
3n
hope this helps
nicholas started a canned food drive at school. the equation representing this is y=235=15, where x is the number of days, and y is the number of cans collected. explain how to determine how many days it would take to collect 2600 cans.
Answer:
195 cans will be left after 10 days
Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
i did the edge thing
Answer:
I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.
Step-by-step explanation:
hope this helps
did it on edge
have a good day
Patty walked 2/5 of a mile in 5 1/2 minutes. At this rate, how long will it take Patty to walk 3 miles?
Answer:
41.25 minutes i think sorry if its wrong
Give an example of an event that has a probability of 1 (100%).
Answer:
meteor hitting earth
Step-by-step explanation:
not sure of actual probability but i believe one that would cause mass extinction is quite improbable
A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?
Answer:
20 km/hr
Step-by-step explanation:
The total time she takes to travel 10 km is 30 minutes of 0.5 hours.
To calculate speed, we can divide the distance traveled by the time it takes.
[tex]s = \frac{10}{0.5} = 20[/tex] km/hr
(9x-2y)/xy when x-4 and y=-2
Answer:
-5
Step-by-step explanation:
Answer:
GIVEN x=4 and y=-2
So, in (9x-2y)/xy when we apply x=4 and y=-2
{9(4)-2(-2)}/(4)(-2)
36+4/-8
40/-8
-5/1
=-5
SIMPLIFY:
√75r2
a. 5√3r
b. 5r√3r
c. NO SOLUTION
d. 5r√3
Answer:
d.5r√3
Step-by-step explanation:
5 and r is common when square root, so,
√5×5×3×r×r
=5r√3
i need help in geometry :(
9514 1404 393
Answer:
82 ft
Step-by-step explanation:
We can find the value of x by making use of the fact that corresponding angles have equal measures.
∠K = ∠N
20x -10 = 15x +15
5x = 25 . . . . . . . . . . add 10-15x
x = 5 . . . . . . . . . . . . divide by 5
Then the side lengths are ...
JK = (4x -4) ft = (4·5 -4) ft = 16 ft
KL = (5x +1) ft = (5·5 +1) ft = 26 ft
And the perimeter is the sum of side lengths:
16 ft + 26 ft + 40 ft = 82 ft
The perimeter of each pool is 82 feet.