Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
Picture is attached, please explain answer
Answer:
20 Yellow Counters
Step-by-step explanation:
You can see the clues with how the ratio changes.
To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.
The real value of the ratio if reverted back to it's original state would be:
=> (20:4)
95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.
95/19 => 5
Each Ratio in the original one presented is equal to 5.
5 * 4 = 20 Yellow Counters
Answer:
sorry I don't Know ·ω·
Step-by-step explanation:
(will give brainliest!)
Given the triangle below, which of the following is a correct statement?
a. sec∠B=3/7
b. cot∠B=3/2
c. sec∠B=7/3
d. cot∠C=1/2
Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:
[tex]\displaystyle \sec B=\frac{3}{7}[/tex]
Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:
[tex]\displaystyle \cot B=\frac{3}{2}[/tex]
Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:
[tex]\displaystyle \cot C=\frac{1}{2}[/tex]
Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Y is inversely proportional to d^2 When d=10 y=4 D is directly proportional to x^2 When x=2, d=24 Find a formula for y in terms of x?
Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
PLEASE HELP!!! I have 7 minutes to awnser this
Answer: It's A
Step-by-step explanation:
Please help me solve my problem!!!
25=125^k find the value of k
Answer:
2/3
Step-by-step explanation:
25=125^k
5^2=5^3k
2=3k
k=2/3
The value of k is k = 2/3.
What is an exponent?The number of times a number is multiplied by itself is referred to as an exponent.
Given that, [tex]25 = 125^k[/tex].
Follow the steps to find the value of k:
[tex]25 = 125^k\\\\5^2=(5^3)^k\\\\5^2=5^{3k}[/tex]
Since the base of the exponents is the same, it follows:
2 = 3k
k = 2/3
Hence, the value of k is k = 2/3.
Learn more about exponents here:
https://brainly.com/question/5497425
#SPJ2
4(5 square root x^2y) + 3(5 square root x^2y
Answer:
7(5sqrt ^2y)
Step-by-step explanation:
Answer: 7(5square root x^2y)
Step-by-step explanation:
By Factorisation
4(5[tex]\sqrt{ x^2y[/tex] )+ 3(5[tex]\sqrt{ x^2y[/tex] )= 4+3(5[tex]\sqrt{ x^2y[/tex] ) = 7(5[tex]\sqrt{ x^2y[/tex] )
Which statement can be represented by the equation 18 divided by m = 7.2?
A number, m, less than 18 is seven point two.
Eighteen decreased by a number, m, is seven point two.
A number, m, divided by 18 is seven point two.
Eighteen divided by a number, m, is seven point two.
Answer:
A number,m,is seven point two . Eighteen divided by a number,m,is seven point two
Answer:
its c
Step-by-step explanation:
just to make it easier for you:)
Which equation represents a line which is parallel to the line
X + 6y = -24?
Answer:
y = -(1/6)x - 6
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
---------------------------
x + 6y = -24
Subtract x from both sides
6y = -x - 24
Divide both sides by 6
y = -(1/6)x - 4
slope = -1/6
-----------------------------
Parallel lines have the same slope
therefor the parallel line is
y = -(1/6)x - 6
Twice a number is 16 greater than two times the opposite of the number. What is the number
Answer:
4
Step-by-step explanation:
Let's say our number is n.
First, we have two times a number. This can be represented by 2 times our number, n, or 2*n
Next, we have that is 16 greater than ... It is hard to conceptualize what 2*n is 16 greater than, so we can move on and save this for later.
Furthermore, we have two times the opposite of the number. Opposite represents the opposite side of a number line, e.g. if the number was 5, the opposite would be -5. This can be represented by multiplying our number n by -1, or -1 * n = -n. We then take two times of this opposite, or 2 * -1 * n = -2 * n.
So far, we have 2*n is 16 greater than -2 * n. We can then say that if a first number is 16 greater than a second number, we must add 16 to the second number to get the first number. Applying that here, we can say that 2*n = -2*n + 16
We then have
2*n = -2*n + 16
We then want to separate the n from the real number(s) (16 in this case). To do that, we can add 2*n to both sides, making our equation
2*n+2*n = 16
4*n = 16
Then, we can finally divide both sides by 4 to get
n = 4
Put these numbers in order from least to greatest.
1/8,0.13,1/2, and 7/8
Answer:
1/8, 0.13,1/2, 7/8 it already is in order
Step-by-step explanation:
Answer:
Step-by-step explanation: 1/8, 0.13,1/2, 7/8 it already is in order
a man spends ⅕ of his salary on shoes and ⅔ on school fees. what is the fraction of his salary left. pls help asap
Answer:
2/15
Step-by-step explanation:
1/5 + 2/3
= 3/15 + 10/15
= 13/15
15/15 - 13/15
= 2/15
The polynomial function 1x) = 5x^5+16/5x-3
is graphed below
Which is a potential rational root of f(x) at point P?
Sidney bought 18 toy cars. The cars came in p packages. Write an expression that shows
how many toy cars were in each package.
Answer:
[tex]\frac{18}{p}[/tex]
Step-by-step explanation:
Need help on this!!! 10 points!!!
It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton to Carton at an average speed of 40 mph. Assuming Priti doesn't stop, what is her average speed from Ashdown to Carton to 1 dp?
Answer:
Her average speed from Ashdown to Carton is approximately 48.4 mph
Step-by-step explanation:
The time and speed of the motion of Priti are as follows;
The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours
The average speed she drove from Ashdown to Bridgeton = 50 mph
The distance she drove from Bridgeton to Carton, d₂ = 30 miles
Her average speed from Bridgeton to Carton = 40 mph
The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles
The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour
Average velocity, [tex]v_{ave}[/tex] = (Total distance traveled, Δd)/(Total time, Δt)
Δd = d₁ + d₂, Δt = t₁ + t₂
Δd = 200 miles + 30 miles = 230 miles
Δt = 4 hours + 0.75 hour = 4.75 hours
∴ The average velocity, [tex]v_{ave}[/tex] = (230 miles)/(4.75 hours)
∴ [tex]v_{ave}[/tex] = (920/19) mph
Her average speed from Ashdown to Carton, rouded to 1 d,p, [tex]v_{ave}[/tex] ≈ 48.4 mph
Consider the sequence 2/4, 3/5, 4/6, 5/7,... Which statement describes the sequence?
The sequence diverges.
The sequence converges to 0.
The sequence converges to 1.
The sequence converges to [infinity].
Answer:
The sequence converges to 1.
Step-by-step explanation:
Sequence 2/4, 3/5, 4/6, 5/7
This sequence can be summarized as:
[tex]\sum_{n=0}^{\infty} \frac{n+2}{n+4}[/tex]
To test if it converges, we can calculate the limite of [tex]\frac{n+2}{n+4}[/tex] as n goes to infinite.
Limit:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4}[/tex]
Considering only the terms with the highest exponent in the numerator and the denominator:
[tex]\lim_{n \rightarrow \infty} \frac{n+2}{n+4} = \lim_{n \rightarrow \infty} \frac{n}{n} = \lim_{n \rightarrow \infty} 1 = 1[/tex]
Thus, the sequences converges to 1.
A city has a population of 300,000 people. Suppose that each year the population grows by 4.5% . What will the population be after 8 years?
Answer:
population=300,000
population size per year=4.5%
population size for 8 years=8 × 4.5%
=0.36
=108000
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
3) Find the volume of the figure below. Round to the tenth place
Which is a correct first step in solving 5 – 2x < 8x – 3?
5 < 6x – 3
3x < 8x – 3
5 < 10x – 3
2 – 2x < 8
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3
Add '2x' to both the sides
5 - 2x + 2x < 8x + 2x - 3
5 < 10x - 3
Find the circumference of the circle. Round your answer to the nearest
hundredth.
Answer:
[tex]circumference = 25.13 \ cm[/tex]
Step-by-step explanation:
[tex]circumference = 2 \pi r = 2 \pi 4 = 8 \pi =25.13 \ cm[/tex]
Which expression is equivalent to 3 sqrt32x8y10?
O 4x2y3(3 sqrt2x2y)
O 2x4y5(3 sqrt4)
O 2x2y3(3 sqrt4x2y)
O 4x4y5(3 sqrt2)
Answer: [tex]2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^{8} y^{10} } =\sqrt[3]{2^{3} \cdot 2^{2} \cdot x^{2} \cdot (x^{2} )^{3} \cdot y \cdot (y^{3})^{3} } =2x^{2} y^{3} (\sqrt[3]{4x^{2} y} )[/tex]
Answer:
Option C :
[tex]\sqrt[3]{32x^8y^10} = 2x^2 y^3 \sqrt[3]{4x^2 y}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{32x^8y^{10}}} = ( 32 x^8 y^{10})^{\frac{1}{3}}[/tex]
[tex]= ( 2^5 \times x^8 \times y^{10})^{\frac{1}{3}}\\\\= ( 2^{5\times\frac{1}{3}} \times x^{8 \times \frac{1}{3}} \times y^{10 \times \frac{1}{3}})\\\\=(2^{\frac{3}{3} + \frac{2}{3}}} \times x^{\frac{6}{3} + \frac{2}{3}} \times y^{\frac{9}{3} + \frac{1}{3}})\\\\= 2 \times 2^{\frac{2}{3}} x^2 \times x^{\frac{2}{3}} \times y^3 \times y^\frac{1}{3}\\\\=2x^2 y^3 \times 2^{\frac{2}{3} \times }x^{\frac{2}{3}} \times y^{\frac{1}{3}}\\\\=2x^2 y^3 (2^2x^2 y)^{\frac{1}{3}}\\\\= 2x^2y^3 \ \sqrt[3]{ \ 4 x^2 \ y }[/tex]
Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3?
Answer:
[tex]2x^{2} +bx-3=0[/tex]
Step-by-step explanation:
General form. A quadratic function [tex]f(x)[/tex] is of the form [tex](ax^2+bx+c)[/tex] where [tex]a,b,c[/tex] ∈ R or C and [tex]a[/tex] ≠ [tex]0[/tex].
We obtain an equation when [tex]f(x)=0[/tex]
⇒ [tex]ax^{2} +bx+c=0[/tex] is an quadratic equation.
Solution.
Given, [tex]a=2,c=-3[/tex], but b is not given
Thus the quadratic function with leading coefficient [tex]a=2[/tex] and constant term [tex]c=-3[/tex] is given by
[tex]f(x)=2x^{2} +bx-3[/tex]
∴ the required quadratic equation is
[tex]2x^{2} +bx-3=0[/tex]
what function is shown in the table
25 is a perfect square. Which of the following is a perfect cube?
[A] 1
[B] 4
[C] 16
[D] 36
Answer:
the perfect cube is [A] 1
6. A regular pyramid has a square base. The perimeter of the base is 64 inches and the height of the pyramid is 12 inches. What is the volume of the pyramid in cubic inches?
The volume is 1024. the base lengths are all 16 inches
Which ordered pair is a solution of the equation! Pic below! PLEASE HELP
Answer:
C
Step-by-step explanation:
[tex]5x+y=-23[/tex]
Graph it and see which plots are on the line:
-3, -4 is not.
-5, -3 is not.
-4, -3 is.
-3, -5 is not.
Extend the sequence and then complete the
statements.
А
A (blank) is an ordered list of numbers that can
form a pattern.
А (blank)
is an element in a sequence.
You can (blank)
a sequence by finding and writing
more terms.
The next term in the sequence is A = (blank)
Answer:
l
Step-by-step explanation:
A sequence is an ordered list of numbers.....
A term is an element in a sequence.
You can expand a sequence by finding and writing....
The next term in the sequence is A = (general term)
can someone help me find what a,b and c are?
Answer:
7 < 8.5 < 9
Step-by-step explanation:
Well < and > mean greater and less than so put it from the smallest to the largest