Answers
1.796
Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5
= 2 *0.8982
= 1.7965
Hope this helps :)
Related Questions
The distance formula is d = rt. A trip of 92 miles traveled at 65 mph will take 1.35 hours.
A. True
B. False
Answers
65 * 1.35 = 87.75
87.75 does not equal 92
so this is False
Write the equation in slope-intercept form of the line that has a slope of -5 and a y-intercept of 2.
Answers
Slope intercept form is in the form y=mx+b
m is the slope, and that is given so we can plug that into the equation
y = -5x + b
We are also given the y-intercept (0,2) and we can plug that into the equation as well, to find b
2 = 5(0) + b
2 = b
So now that we know both m and b, plug only those two into the equation.
y = -5x + 2
That is your equation
In triangle QRS, QR is congruent to SR and RT bisects QS. What justification can you give for QRT congruent to SRT and give the Triangle Congruence Postulate that supports your reason.
Answers:
Midpoint Theorem, SSS
Given, SSS
Definition of a segment bisector; SSS
Definition of an isosceles triangle, SAS,
Answers
Explanation:
Since RT bisects QS, we have QT congruent to ST.
By SSS, we have triangle QRT congruent to triangle SRT
so, since QT is congruent to ST, RT is congruent to RT, and QR is congruent to SR.
All these sides are congruent to each other that gives the proof of "SSS(SIDE, SIDE, SIDE)"
Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5 m and diagonal QS = 6 m. Find the length of segment RP.
3 m
4 m
5 m
6 m
Answers
Since a kite is symmetric about one of its diagonals, then the other diagonal bisects that one. Additionally, the diagonals are perpendicular to each other. This forms two right triangles inside of the kite.
The bottom leg of the right triangle will be 3 (half of the diagonal) and the hypotenuse will be 5. We will use the Pythagorean theorem to answer this:
3²+b²=5²
9+b²=25
Subtract 9 from both sides:
9+b²-9=25-9
b²=16
Take the square root of both sides:
√(b²) = √16
b=4
Answer:
Given: Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 5m and diagonal QS = 6m.
Since, diagonals of kite bisect each other, thus QP=6m
Now, in ΔPQR, we have
(QR)²= (RP)²+(QP)²
(5)²= (3)²+(RP) ²
25=9+(RP)²
25-9= (RP)²16= (RP)²
RP= 4m
Therefore, the length of segment RP is 4m.
Step-by-step explanation:
Then, the dot ran from −34 to −66. What distance did it cover? If this run took the dot 5 minutes, what was its average speed?
Answers
Final answer:
The dot covered a distance of 32 units when it ran from -34 to -66. Assuming the distance is measured in meters, and the dot took 5 minutes (300 seconds) to cover this distance, the average speed would be 0.1067 m/s.
Explanation:
To determine the distance the dot covered when it ran from -34 to -66, we need to calculate the absolute value of the difference between the two points. The formula for distance in this case is |final position - initial position|, so the distance covered = |-66 - (-34)| = |-66 + 34| = | -32 | = 32 units.
Now, to determine the average speed of the dot, we divide the total distance traveled by the time it took to cover that distance. Given that it took the dot 5 minutes to cover the distance, we convert minutes to seconds because speed is typically measured in meters per second (m/s) in physics. There are 60 seconds in a minute, so 5 minutes is 300 seconds. Therefore, the average speed is distance/time = 32 units / 300 seconds.
The exact units of measurement for distance have not been specified in the question, but assuming the distance is in meters (m), the average speed would be calculated as 32 m / 300 s = 0.1067 m/s.
will give medal to best answer!
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.
C = 38°, a = 19, c = 10,
Answers
Begin with applying the Law of Sines to find angle A:
[tex] \frac{sin A }{a} [/tex] = [tex] \frac{sin C }{c} [/tex]
Then, solve for sin A:
sin A = [tex] \frac{a sinC}{c} [/tex]
Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Answer:
No triangle is formed
Step-by-step explanation:
took test
13 Pts
PLEASE SOMEONE HELP ME WITH THIS QUESTION
PLZ EXPLAIN
THANK U
Answers
She starts off with 2 in the first hour
And then every additional hour ( represented with n) she designs 3
Haruka hiked several kilometers in the morning. She only hiked 666 kilometers in the afternoon, which was 25\%25%25, percent less she had hiked in the morning.How many kilometers did Haruka hike in all?
Answers
100/25*6
=24 km
thus the total distance she hiked will be:
24+6
=30 km
Answer:
its 14 in all actually
Step-by-step explanation:
For what values of x is x2 + 2x = 24 true?
–6 and –4
–4 and 6
4 and –6
6 and 4
Answers
You'll subtract the 24 to the other side, causing it to be negative.
Ask yourself.. What plus what equals a positive two, but gives me a negative 24? well, 24 breaks into 12 and 2, or 6 and 4. well 12 subtracted by 2 does not get me 2, it gives me ten. but a positive 6 subtracted by 4 gives me a positive 2, and negative 24.
Hope this helps!! :)
Answer:
C. is the correct answer i took the quiz
Step-by-step explanation:
y+15 <3 for inequality
Answers
y + 15 < 3
Start by subtracting 15 on both sides
y + 15 - 15 < 3 - 15
y < -12
As always, it is my pleasure to help you guys on here. Let me know if you have any questions.
Type 3xxyyy using exponents.
Answers
The answer to your question is simple.
3xxyyy
Count how many xs there are. This is the exponent on the x.
3x²yyy
Count how many ys there are. This is the exponent on the y.
3x²y³
I really hope this helps!
Best wishes :)
what is 85% of 2500 meters
Answers
Solve the system algebraically. Check your work.
4x + 2y = 10
3x + 2y = 6
ANSWER: {(
a0)}
Answers
We can subtract the equations from each other.
4x-3x=x
2y-2y=0
10-6=4
x=4 <== that's all we have left of the equation
Now plug that in to solve.
3(4)+2y=6
12+2y=6
2y=-6
y=-3
Solution: (4,-3)
I hope this helps!
~kaikers
Answer:
x = 4 and y = -3.
Step-by-step explanation:
Given : 4x + 2y = 10 and 3x + 2y = 6.
To find : Solve the system algebraically. Check your work.
Solution : We have given that
4x + 2y = 10 ----(1)
3x + 2y = 6.------(2)
Subtracting equation 2 from 1
4x + 2y = 10
(-)3x + (-)2y =(-) 6.
_____________
x + 0 = 4
x =4
Plug x = 4 in equation 1
4 (4) + 2y = 10.
16 + 2y = 10.
2y = 10 -16.
2y = -6.
On dividing by 2 both sides
y = -3.
Check:
Plug the values x =4 , y =-3 in equation 1
4 (4) + 2 ( -3) = 10
16 -6 = 10
10 =10
Verify,
Therefore, x = 4 and y = -3.
What are MODE,MEDIAN
EXPLAIN pls.
Answers
To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list.
To find the mode, identify which value in the data set occurs most often.
Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other. find the lengths of the sides of the triangles of their perimeters are 23 cm and 43 cm.
Answers
Final answer:
To find the lengths of the sides of two isosceles triangles with equal bases and perimeters of 23 cm and 43 cm, we calculate based on the known relations. The smaller triangle has sides of 10 cm and 3 cm, while the larger triangle has sides of 20 cm and 3 cm.
Explanation:
The problem involves two isosceles triangles with the same base length, but the legs of one triangle are twice as long as the other. One triangle has a perimeter of 23 cm, and the other has a perimeter of 43 cm. To solve this, let's denote the common base of both triangles as b, the legs of the smaller triangle as l, and the legs of the larger triangle as 2l.
For the smaller triangle, the perimeter P is given by P = b + l + l or P = b + 2l. For the larger triangle, the perimeter P is P = b + 2l + 2l or P = b + 4l. Since the perimeters are 23 cm and 43 cm respectively, we can set up two equations: b + 2l = 23 and b + 4l = 43.
Solving these simultaneous equations, subtract the first from the second to find 2l = 20, so l = 10. Substituting l = 10 into the first equation gives us b + 20 = 23, thus b = 3.
Therefore, the sides of the smaller triangle are 10 cm (legs) and 3 cm (base), and the sides of the larger triangle are 20 cm (legs) and 3 cm (base).
What is the value of b in the equation (yb) 4= 1/y24
Answers
Answer:
The value of b is [tex]\frac{1}{y^7}[/tex].
Step-by-step explanation:
Here the given expression is,
[tex](yb)^4=\frac{1}{y^{24}}[/tex]
[tex]y^4b^4=\frac{1}{y^{24}}[/tex] ( Using [tex](ab)^m=a^mb^m[/tex] on left side )
[tex]y^4b^4y^24 = 1[/tex] ( By cross multiplication )
[tex]y^{4+24}b^4=1[/tex] ( Using [tex]a^ma^n=a^{m+n}[/tex] on left side )
[tex]y^{28}b^4=1[/tex]
[tex]b^4=\frac{1}{y^{28}}[/tex]
[tex]b=(\frac{1}{y^{28}})^{\frac{1}{4}}[/tex] ( [tex]a^m=b^n\implies a=b^\frac{n}{m}[/tex] )
[tex]b=\frac{1^{\frac{1}{4}}}{(y^{28})^\frac{1}{4}}[/tex] ( [tex](\frac{a}{b})^m=\frac{a^m}{b^m}[/tex] )
[tex]b=\frac{1}{y^{28\times \frac{1}{4}}}[/tex] ( [tex](a^m)^n=a^{m\times n}[/tex] )
[tex]b=\frac{1}{y^7}[/tex]
Answer:
It is -6
Step-by-step explanation:
The number 64 is a perfect
A.square and cube
B.square
C.cube
Answers
The prime factorization of 64 is [tex]2^6[/tex]
This can be written in two ways.
[tex]64=2^6=2^3 \times 2^3 = 8 \times 8 = 8^2[/tex]
[tex]64=2^6=2^2 \times 2^2 \times 2^2=4 \times 4 \times 4=4^3[/tex]
Thus, 64 is both a perfect square and perfect cube. Hope this helps! :)
Which statement is true about the product of a non-zero rational number and an irrational number?
A) The product of a non-zero rational number and an irrational number is always a rational number.
B) The product of a non-zero rational number and an irrational number is never an irrational number.
C) The product of a non-zero rational number and an irrational number is sometimes a rational number.
D) The product of a non-zero rational number and an irrational number is always an irrational number.
Answers
The answer is defiantly D
Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.
Answers
The optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the marginal profit.
To determine which levels of production provide Alonzo's Cycling with the maximum profit, one must consider both the fixed costs and the variable costs associated with production.
The profit for each level of production is calculated by subtracting the total costs (fixed costs plus variable costs) from the total revenue generated by sales. The level of production at which profit is maximized is where the difference between total revenue and total costs is the greatest.
This can be found by analyzing the marginal cost and marginal revenue of production. When marginal revenue equals marginal cost, and if the additional production leads to a decrease in profit, that is the point of maximum profit.
Beyond this point, producing more units would decrease the total profit due to the law of diminishing returns, where the cost of producing additional units exceeds the revenue they generate.
Therefore, the optimal level of production for Alonzo's Cycling is at the point where the profit reaches its peak before starting to decline with further increases in production. This is the level of production that Alonzo's Cycling should aim for to achieve the maximum profit.
The width of Zorn's patio is labeled in the diagram below. If the perimeter of the patio is (30x + 26) feet, what is the length of the patio?
2x^2=450
Determine which statement is true about the solutions to the equation.
The solutions are -15 and 15 and both are reasonable side lengths.
The solutions are -30 and 30 and both are reasonable side lengths.
The solutions are -30 and 30 but only 30 is a reasonable side length.
The solutions are -15 and 15, but only 15 is a reasonable side length.
Answers
2x²=450 ----------> x²=450/2----------> x=√225
x1=+15
x2=-15
a reasonable length measurement should be positive
therefore
the answer is
The solutions are -15 and 15, but only 15 is a reasonable side length.
Answer:
the answer is (8x+9)
Step-by-step explanation:
What is 1,400,000 multiplied by 3.5x10^5 expressed in scientific notation?
Answers
One can solve this question by converting 1,400,000 into scientific notation. The equation then becomes --> (1.4x10^6)(3.5x10^5). Then, one can multiply 1.4 by 3.5 and use exponent laws to get x10^11.
1.4x3.5 = 4.9
(10^6)(10^5)=10^11
Therefore, the answer will be 4.9x10^11.
The answer is [tex]\( 4.9 \times 10^{11} \)[/tex].
To solve the given mathematical problem, we will multiply the two numbers and then express the result in scientific notation.
First, let's multiply 1,400,000 by 3.5x10^5 without converting them to scientific notation:
[tex]\[ 1,400,000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 1400000 \times 3.5 \times 10^5 \][/tex]
[tex]\[ = 4900000 \times 10^5 \][/tex]
Now, we have the product 4900000. To express this in scientific notation, we must write it as a number between 1 and 10 multiplied by a power of 10. The number 4900000 can be written as 4.9 followed by 11 zeros, which in scientific notation is [tex]\( 4.9 \times 10^{11} \)[/tex].
Therefore, the final answer, expressed in scientific notation, is:
[tex]\[ \boxed{4.9 \times 10^{11}} \][/tex]
What are the zeros of the quadratic function f(x) = 2x2 + 8x – 3? x = –2 – and x = –2 + x = –2 – and x = –2 + x = 2 – and x = 2 + x = 2 – and x = 2 +
Answers
[tex]f(x)=2 x^{2} +8x-3[/tex]
The zeros of the quadratic functions also known as its roots can be found using the quadratic formula.
According to the quadratic formula:
[tex]x= \frac{-b+- \sqrt{ b^{2}-4ac } }{2a} [/tex]
here,
b = coefficient of x-term
a = coefficient of x²-term
c = costant term
For given function:
a = 2
b = 8
c = - 3
Using these values in the formula, we get:
[tex]x= \frac{-8+- \sqrt{64-4(2)(-3)} }{2(2)} \\ \\ x= \frac{-8+- \sqrt{88} }{4} \\ \\ x= \frac{-8+-2 \sqrt{22}}{4} \\ \\ x= \frac{-4+- \sqrt{22} }{2} \\ \\ x= \frac{-4+ \sqrt{22} }{2}, x= \frac{-4- \sqrt{22} }{2} [/tex]
Thus, these values of x are the zeros of the given quadratic function f(x)=2x²+8x-3
helppppppppppppppppppppppppp
Answers
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
What is the quotient (2x3 − 13x2 + 16x − 5) ÷ (x − 5)?
2x2 − 3x + 1
2x2 + 3x − 1
2x2 − 3x − 1
2x2 + 3x + 1
Answers
Answer:
Correct choice is A
Step-by-step explanation:
1 step. Multiply [tex]x-5[/tex] by [tex]2x^2[/tex] to get [tex]2x^3-10x^2[/tex] and subtract this polynomial from the polynomial [tex]2x^3-13x^2+16x-5:[/tex]
[tex]2x^3-13x^2+16x-5-(2x^3-10x^2)=2x^2-13x^2+16x-5-2x^3+10x^2=-3x^2+16x-5.[/tex]
2 step. Multiply [tex]x-5[/tex] by [tex]-3x[/tex] to get [tex]-3x^2+15x[/tex] and subtract this polynomial from the polynomial [tex]-3x^2+16x-5:[/tex]
[tex]-3x^2+16x-5-(-3x^2+15x)=-3x^2+16x-5+3x^2-15x=x-5.[/tex]
3 step. Multiply [tex]x-5[/tex] by [tex]1[/tex] to get [tex]1[/tex] and subtract this polynomial from the polynomial [tex]x-5:[/tex]
[tex]x-5-(x-5)=x-5-x+5=0.[/tex]
Then
[tex]2x^3-13x^2+16x-5=(x-5)(2x^2-3x+1).[/tex]
Answer:
Correct answer is 2x2 − 3x + 1
Step-by-step explanation:
Shari plans to bake cherry pies and sell them for $9.50 each how much pies dose she have to sell to make $100 profit
Answers
which pair of triangles is congruent by AAS?
Answers
Answer:
Triangles PQT and RQT are congruent (option D)
Step-by-step explanation:
The AAS or Angle- Angle- Side Theorem says that if two angles and any side of one triangle are congruent to two angles and any side of another triangle, then the triangles are congruent.
So, triangles PQT and RQT are congruent.
Both triangles have angle Q as right angle and angle P and R are also equal. And both have side QT common.
So, these are congruent via AAS.
HELP FAST - given that ig= x-4 , ik = 9x-19 and jk = 5x+12 find ij, jk and ik
Answers
Answer:
THIS IS WRONG I TOOK THE TEST... DONT KNOW THE ANSWER STILL.
Step-by-step explanation:
Part A: Explain why we do not measure the rate at which water flows out through a shower head in cubic meters per second? In your explanation, use reasoning based on appropriate units to model this situation. (5 points) Part B: What are the two quantities that should be measured to find the rate at which water flows out of a shower head? Explain how the rate can be determined. (5 points)
Answers
We have that we can calculate the rate if we know the surface area of the flow and the speed of the water. If one multiplies those 2 together, one gets the rate because the speed of water is pretty much how much a front of water is moving per second; if you multiply it by its surface area, you get how much a volume of water is moving.
The units to measure the rate of water flow from a shower are smaller than cubic meters per second due to the typical small value of this rate. To determine the rate, you need to know the cross-sectional area of the outlet and the water speed, multiplying the area by the speed.
Explanation:Part A: We do not measure the rate at which water flows out through a shower head in cubic meters per second because the typical rate of water flow from a shower is much smaller compared to one cubic meter per second. Using such a large unit for a typically small value would result in decimal figures that are often difficult to comprehend. For instance, a regular shower might output 0.01 cubic meters per minute, which convert to a very small number in cubic meters per second; hence cubic centimeters per second or liters per minute are more practical units.
Part B: To calculate the rate of flow from a showerhead, you need to know two quantities: the cross-sectional area of the outlet (which can be calculated if you know the diameter), and the speed at which the water is moving. The rate of flow (volume per unit time) can then be determined by multiplying the area by the speed of the water. Based on the given data from your textbook - a faucet with a 1.80-cm diameter and a speed of 0.500 m/s - the flow rate can be determined using the formula for the volume of a cylinder (Area of the base x Height), where in this case the 'height' would be the speed.
Learn more about Water Flow Rate Calculation here:https://brainly.com/question/35312130
#SPJ12
Parallelogram DEFG has been rotated. Which statements are correct? Check all that apply.
Answers
point F ⇒ point F'
Point D of the pre-image corresponds to pint D' of the image
Parallelogram DEFG maps to parallelogram D'E'F'G'
In geometry, rotation involves turning of an object about a center. The statements that are correct are:
point F [tex]\to[/tex] point F'point D of the preimage corresponds to point D' of the imageparallelogram DEFG maps to parallelogram D'E'F'GWhen rotation is applied to a shape, the orientation of the shape will change; however the corresponding points will be unchanged.
This means that:
DEFG will be mapped to D'E'F'GPoints D, E, F and G will correspond to points D', E', F' and G'.Hence, the true statements are: (a), (c) and (e)
Read more about rotation at:
https://brainly.com/question/1571997
Katie decides to sell lemonade to make some money. Katie’s mom said she will double the amount of money she makes. If Katie sells 66 cups of lemonade at $0.75 each, how much money does she make?
Answers
The answer is $99! :)