Answer:
Square root of 29
Step-by-step explanation:
The required radius of the circle would be √29 units which circle with a center at (1, 1) and a point on the circle is (6, 3).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (1, 1) and a point on the circle is (6, 3).
Since the circle passes through points (6, 3),
So the radius (r) of the circle is the distance between points (1, 1) and (6,3).
⇒ r² = (6 - 1)² + (3 − 1)²
⇒ r² = (5)² + (2)²
⇒ r² = 25 + 4
⇒ r² = 29
⇒ r = √29
Therefore, the required radius of the circle would be √29 units.
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1 pint = ______ cups
= 2
Caleb started with 50 bacteria for his science experiment, and the number of bacteria doubled in one day. Jenna also started with 50 bacteria for her experiment, and after one day the number of bacteria was equal to 50 to the second power. Who had more bacteria at the end of one day?
Answer:
100+50²=2600
Step-by-step explanation:
because 50x2=100 and 50² is 2500. Add those and you get 2600.
The volume of this pyramid is 351 m3. If the area of the
base is 81 m² how high is the pyramid?
9514 1404 393
Answer:
13 m
Step-by-step explanation:
The volume formula is ...
V = (1/3)Bh
where B is the base area and h is the height.
Filling in the given values, we can solve for h.
351 m³ = (1/3)(81 m²)h
351/27 m = h = 13 m . . . . . divide by the coefficient of h
The height of the pyramid is 13 meters.
1.Refer to the system of linear equations shown below. Which of the following statements gives the best choice for multiplying to solve this system using the elimination method?
3x−6y=4
6x+11y=−2
(1 point)
Multiply the second equation by 12, so the x-variables are eliminated.
Multiply the first equation by 2, so the x-variables are eliminated.
Multiply the first equation by −11 and the second equation by 6, so the y-variables are eliminated.
Multiply the first equation by −2, so the x-variables are eliminated.
2.Given the following system, what should the second equation be multiplied by so that x is eliminated?
4x−y=9
x+3y=12
(1 point)
13
−4
−13
4
3.Solve the following system by the elimination method.
4x−2y=16
3x+6y=−18
(1 point)
(1, −5)
(3, −2)
(2, −4)
(0, −3)
4.Solve the system by the elimination method.
3x−5y=4
−9x+3y=−24
(1 point)
(8, 4)
(1, −1)
(3, 1)
(2, −2)
5.Manny says he should multiply the first equation in the system of equations below by 3 and the second equation by 2, then add to eliminate x. Is there a more efficient way to solve this system? Explain your answer.
−2x+y=15
3x+4y=−12
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
Answer:
456
Step-by-step explanation:
Step-by-step explanation:
(1 point)
No, there isn't a more efficient way to solve this system.
Yes, a more efficient way is to multiply the first equation by 4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate y, then solve for x.
Yes, a more efficient way is to multiply the first equation by −4, add to eliminate x, then solve for y.
how to find rations in triangles
Answer:
When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles.
Step-by-step explanation:
Please Help
Solve for r.
1/3r+1=−2/3r−2
Answer:
-3
Step-by-step explanation:
Answer:
[tex]r=-3[/tex]
Step-by-step explanation:
We have the equation:
[tex]\displaystyle \frac{1}{3}r+1=-\frac{2}{3}r-2[/tex]
And we would like to solve for r.
First, we can multiply both sides by the denominator 3. This will remove the fractions. So:
[tex]\displaystyle 3(\frac{1}{3}r+1)=3(-\frac{2}{3}r-2)[/tex]
Distribute:
[tex]\displaystyle r+3=-2r-6[/tex]
Now, we can add 2r to both sides:
[tex]3r+3=-6[/tex]
And we can also subtract 3 from both sides:
[tex]3r=-9[/tex]
Finally, we can divide both sides by 3 to get:
[tex]r=-3[/tex]
What is the value of n in this equation?
7^6·7^3=7^n
Answer: n = 9
Step-by-step explanation:
first, we calculate the first equation.
7^9 = 7^n
then, we set the exponents as equal.
9 = n
then, we simply swap the sides.
n = 9
Find the 57th term of the following arithmetic sequence.
5, 14, 23, 32,
Answer:
509
Step-by-step explanation:
formula
L = a + (n - 1)*d
Givens
n = 57
a = 5
d = 9
Solution
t = 5 + (57 - 1)*9
t = 5 + 56*9
t = 5 + 504
t = 509
t = 556
4n2-17n+4
What is the answer
Answer:
(4n − 1)(n − 4)
Explanation:
Factor 4n² − 17n + 4
4n² − 17n + 4
= (4n − 1)(n − 4)
Answer:
(4n − 1)(n − 4)
The factors of the expression [tex]4n^2-17n+4[/tex] are
Mathematically, an expression is a combination of numbers, variables, operations, and functions that are combined according to specific rules to represent a mathematical computation or relationship. It can be thought of as a mathematical phrase or formula.
To factorize the quadratic expression [tex]4n^2 - 17n + 4[/tex], we need to find two binomial factors that, when multiplied, result in the given expression.
The factored form will have the following structure:
(An + B)(Cn + D)
To find the values of A, B, C, and D, we can use various methods such as factoring by grouping, quadratic formula, or completing the square. In this case, we will use the factoring by grouping method.
Step 1: Multiply the coefficient of the leading term (4) by the constant term (4). The result is 16.
Step 2: We need to find two numbers that multiply to give 16 and add up to the coefficient of the linear term (-17). After considering the possible pairs of numbers, we find that -16 and -1 meet these criteria.
Step 3: Rewrite the middle term (-17n) using -16n - n:
= [tex]4n^2 - 16n - n + 4[/tex]
Step 4: Group the terms and factors by grouping:
= [tex](4n^2 - 16n) - (n - 4)[/tex]
= 4n(n - 4) - 1(n - 4)
Step 5: Factor out the common binomial factor:
(n - 4)(4n - 1)
Therefore, the factored form of the quadratic expression [tex]4n^2 - 17n + 4[/tex] is (n - 4)(4n - 1).
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Kevin wants to plant grass in his backyard. His backyard is in the shape of a rectangle. Its length is 28 feet and its width is 25 feet. Suppose each pack of seed
covers 14 square feet. How many packs of seed will he need to cover the backyard?
Answer:
50 packs.
Step-by-step explanation:
Given the following data;
Length = 28 feet
Width = 25 feet
Pack of seeds = 14 ft²
Since Kevin's backyard is a rectangle, we would find its area.
Area of rectangle = length * width
Substituting into the equation, we have;
Area of rectangle = 28 * 25
Area of rectangle = 700 ft²
Now to find the amount of pack of seeds required to cover the backyard.
Amount of pack of seeds = 700/14
Amount of pack of seeds = 50 packs.
Pleaseeeeeeeeeee help :)
Answer:
12: 21 16:28
Step-by-step explanation:
4 pounds are equal to 7 packs. 4x3=12, and 7x3=21, and so on.
Working alone, it takes Trevon eight hours
to pick forty bushels of apples. Brenda
can pick the same amount in 10.8 hours.
Find how long it would take them if they
worked together.
Answer
18.8 if they are picking 80 bushes and 9.4 if their
picking the forty bushes together
Step-by-step explanation:
Paul and Kristen have planned a long hike. They will both travel the same route and will not stop. Paul starts two hours before Kristen. He walks three miles per hour and does not slow down or speed up. If Kristen walks four miles per hour, and does not slow down or walk faster, how many miles must she walk to catch up with Paul?
Answer:
Kristen should walk 12 miles to catch up with Paul
Step-by-step explanation:
Paul = 2hrs earlier
= walks at 3 miles per hour
= 3miles x 2 hrs = 6 miles
covers 6 miles at the time Kristen starts
Kristen = 4 miles per hour
Paul has a lead of 6 miles.
if Kristen walks another hour of 4 miles she would have covered 8 miles and Paul would have covered 9 miles and if Kristen were to cover one more hour,
Kristen would be at 12 and so would Paul.
Kristen should walk 12 miles to catch up with Paul
Can y’all please help me with this y=-16 + 29t+ 6
Answer: m=29
Step-by-step explanation:
How long does it take the kangaroo to travel 5 km
Answer:
Time taken by kangaroo to travel 5 km = 4.27 minutes.
Step-by-step explanation:
Speed of kangaroo is 44 mph.
Speed of kangaroo = 44 mph = 44 x 1.6 = 70.4 kmph = 19.5 m/s
We need to find how much time it takes to travel 5 km
Distance traveled = 5 km = 5000 m
We have
Distance traveled = Speed x Time taken
5000 = 19.5 x Time taken
Time taken = 256.41 seconds
Time taken = 4.27 minutes.
Answer:7.5
Step-by-step explanation:
Which situation represents a proportional relationship?
Answer:
A situation represents a proportional relationship if you can write equivalent ratios of related quantities in that situation.
Q
Answer:
The first one
Step-by-step explanation:
You are taking one object times per pound, x, and than adding the cost for a basket.
Tricia has $37.25 in her account. Which shows the amount she will have left after she writes a check for $23.99?
A. $12.36
B. $12.74
C. $13.26
D. $13.74
The amount she will have left after writing a check for $23.99 is $13.26. The correct answer would be an option (C).
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
Tricia has $37.25 in her account, if she writes a check for $23.99, to find the amount left after that we need to subtract the check amount from her initial amount.
⇒ initial amount - check amount
⇒ $37.25 - $23.99
Apply the subtraction operations, and we get
⇒ $13.26
Therefore, the amount she will have left after writing a check for $23.99 is $13.26.
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What is the value of the expression
4.8-(2.5-6.3)
The sum of the measures of the interior angles of a polygon is known to be
between 2100 and 2200. How many sides does the polygon have?
Answer: 5 sides
Step-by-step explanation:
A number is chosen at random from 1 to 50. Find the probability of selecting factors of 36.
Answer:
1/50 2%
Step-by-step explanation:
1 divided by 50
Which expressions have a value of 128 when x=4?
Answer: Create equivalent expressions in the equation that all have equal bases.
2
2
x
=
2
7
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
x
=
7
Divide each term by
2
and simplify.
Divide each term in
2
x
=
7
by
2
.
2
x
2
=
7
2
Cancel the common factor of
2
.
Cancel the common factor.
2
x
2
=
7
2
Divide
x
by
1
.
x
=
7
2
The result can be shown in multiple forms.
Exact Form:
x
=
7
2
Decimal Form:
x
=
3.5
Step-by-step explanation: Brainless, please
Correct expressions : [tex]x^4/2[/tex] and [tex]8x^2[/tex] .
Hence option B and E are correct .
Given, expression will yield 128 when x = 4 .
Expression B :
[tex]x^4/2[/tex]
Put x = 4
[tex]\frac{4^4}{2}\\ = 128[/tex]
Expression E :
[tex]8x^2[/tex]
Put x = 4
[tex]8(4^2)\\= 128[/tex]
Therefore option B and E are correct .
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Use operations of exponent to simplify
3^5/3^-6
Answer:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{11}[/tex]
Step-by-step explanation:
Properties of Exponents
They can be used to simplify expressions of the form
[tex]b^x\cdot b^y=b^{x+y}[/tex]
[tex]\displaystyle \frac{b^x}{b^y}=b^{x-y}[/tex]
The last property will be used to simplify:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}[/tex]
[tex]\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}[/tex]
x divided by 39 = 1204 R38
Answer:
x=46994
Step-by-step explanation:
Just do 1204 38/39 * 39 to get x=46994
what is the median for 9, 1, 9, 6, 5 and for 2, 10, 7, 1
Answer:
median for 9,1,9,6,5 is 6 and for 2,10,7,1 is 4 1/2
I got it by lining up the first numbers 1,5,6,9,9 and 6 was middle second one i lined it up 1,2,7,10 and 2 and 7 were middle so added them together and divided by 2 and got 4 1/2
Please help as soon as you can! Which of the following inequalities matches the graph?
(A) x> 4
(B) x< 4
(C) y > 4
(D) y < 4
Answer:
i believe the answer is B
Which ratio is equivalent to 9: 180?
A5:200
B12:240
C10:400
D 8:560
Answer:
B: 12:240
Step-by-step explanation:
you can divide the ratios to see if they are equivalent.
9/180= 0.05 or 1/20
12/240= 0.05 or 1/20
Answer:
a
Step-by-step explanation:
10 - 3 (z - 2) = 5z + 7
Answer:
= 9/8
That's the answer
ANSWER FAST PLZ
find the height of a cone with a diameter of 12m whose volume is 113m3
A.2m
B.1m
C.9m
D.3m
Answer:
I'm pretty sure it's 3
Step-by-step explanation:
h=3(V/πr2)
I just plugged it into this equation
Which expression represents 6 less than a number, n?
Answer:
n-6
Step-by-step explanation:
less than is subtraction
6 is taken away from n
n-6
If the probability of you winning a hand of poker is (11/23), how many times
should you expect to win if you play 228 times?
А
109
B
44
с
86
D
1
Answer:
109
Step-by-step explanation: