Answer:
Line FG secant
Line segment DH secant
Line segment DB tangent
Line segment AC radius
Step-by-step explanation:
A Secant is a line that passes through the two points on a circle.It cuts the circle on two points.
Line FG is a secant as it passes through two pints.
Line segment DH is also a secant as it passes through two points.
A tangent is a line that passes through only one point on a circle. It is outside the circle. It is perpendicular to the radius at the point where it touches the circle.
Line segment DB is a tangent as it passes through only one point.
Radius is the line segment joining the center of the circle and any point on the circumference of the circle. It is half of the diameter.
Line segment AC is a radius as it joins the center of the circle with the circumference.
Answer:
1) FG -- Secant
2) DB -- Tangent
3) DH -- Secant
4) AC -- Radius
Step-by-step explanation:
Of a squirrel's hidden nuts, for every 555 that get found, there are 333 that do not get found. A squirrel hid 404040 nuts all together. How many of the nuts do not get found?
Answer:
151515 not found
Step-by-step explanation:
For every 555 nuts found, 333 are not. This gives a total of 888.
555 + 333 = 888
Divide the total number of nuts by this number.
404040/888 = 455
Multiply the number that get found and the number that don't by the number calculated above.
555 × 455 = 252525
333 × 455 = 151515
252525 nuts will be found and 151515 will not.
Answer:
15
Step-by-step explanation:
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply.
Answer:
y = -[tex]\frac{2}{5}[/tex]x - 1
Step-by-step explanation:
First, we can put the equation into y = mx + b form:
2x + 5y = 10
5y = -2x + 10
y = -[tex]\frac{2}{5}[/tex]x + 2
Now, we know the slope is -[tex]\frac{2}{5}[/tex]. A parallel line will have the same slope.
So, we can plug in the point (-5, 1) into the equation y = -[tex]\frac{2}{5}[/tex]x + b to find b:
1 = -[tex]\frac{2}{5}[/tex](-5) + b
1 = 2 + b
-1 = b
So, the equation will be y = -[tex]\frac{2}{5}[/tex]x - 1
The mean per capita income is 19,292 dollars per annum with a variance of 540,225. What is the probability that the sample mean would be less than 19269 dollars if a sample of 499 persons is randomly selected? Round your answer to four decimal places.
Answer:
The probability is 0.2423.
Step-by-step explanation:
Given mean per capita = 19292 dollars
Given the variance = 540225
Now find the probability that the sample mean will be less than 19269 dollar when the sample is 499.
Below is the calculation:
[tex]\bar{X} \sim N(\mu =19292, \ \sigma = \frac{\sqrt{540225}}{\sqrt{499}}) \\\bar{X} \sim N(\mu =19292, \ \sigma = 32.90) \\\text{therefore the probability is:} \\P (\bar{X}< 19269) \\\text{Convert it to standard normal variable.} \\P(Z< \frac{19269-19292}{32.90}) \\P(Z< - 0.6990) \\\text{Now getting the probability from standard normal table}\\P(Z< -0.6990) = 0.2423[/tex]
Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below? On a graph, a trend line goes through points (4, 35) and (16, 134). StartFraction 134 minus 35 Over 16 minus 4 EndFraction StartFraction 134 minus 16 Over 35 minus 4 EndFraction StartFraction 4 minus 16 Over 35 minus 134 EndFraction StartFraction 4 minus 16 Over 134 minus 35 EndFraction
Answer:
134-35/16-4 (A)
Step-by-step explanation:
I just know
Answer
A) 134-35/16-4
Step-by-step explanation:
3. Write an exponential equation for each coin that will give the coin's value, V, at any time, t. Use
the formula:
Vt) = P(1 + r) where V(t) is the value of the coin in t years, Please HELP! help on number three
Answer:
Coin A : [tex]V(t)=25(1.07)^t[/tex]
Coin B : [tex]V(t)=40(1.05)^t[/tex]
Step-by-step explanation:
Consider the given formula is
[tex]V(t)=P(1+r)^t[/tex]
where, P is current value, V(t) is the value of the coin in t years, and r is annual appreciation rate.
For coin A, current value is 25 dollars and annual appreciation rate is 7%.
[tex]V(t)=25(1+0.07)^t[/tex]
[tex]V(t)=25(1.07)^t[/tex]
For coin B, current value is 40 dollars and annual appreciation rate is 5%.
[tex]V(t)=40(1+0.05)^t[/tex]
[tex]V(t)=40(1.05)^t[/tex]
Therefore, the required equations for coin A and B are [tex]V(t)=25(1.07)^t[/tex] and [tex]V(t)=40(1.05)^t[/tex] respectively.
A system of linear equations contains two equations with negative reciprocal slopes. Select all of the correct statements. A. The system may have no solution B. The system will have one solution C. The system will have two solutions D. The system may have infinitely many solutions
Answer:
B.
Step-by-step explanation:
"negative reciprocal slopes" means the lines are perpendicular, so they will always intersect.
Hence there will be exactly one solution.
B. The system will have one solution.
What is a negative reciprocal slope?The slopes of perpendicular strains, or bisecting strains, are continually terrible reciprocals of each other. For instance, if the slope of a line is -five, then the slope of a line perpendicular to this line will be the negative reciprocal of -five.
What is the system of two linear equations that have different slopes?If the 2 traces have exclusive slopes, then they'll intersect as soon as. consequently, the gadget of equations has exactly one answer. If the two traces have the equal slope however of kind y-intercepts, then they're parallel strains, and they'll by no means intersect.
Learn more about the system of linear equations here: https://brainly.com/question/14323743
#SPJ2
Solve the equation x^2 – 16x + 25 = 0 to the nearest tenth.
Answer:
1.8 and 14.3
Step-by-step explanation:
Our equation is a quadratic equation so we will use the dicriminant method
Let Δ be our dicriminant a=1b= -16c= 25Δ= (-16)²-4*25*1=156≥0 so we have two solutions : x and y x= (16-[tex]\sqrt{156}[/tex])/2= 1.7555≈ 1.8y=(16+[tex]\sqrt{156}[/tex])/2=14.244≈ 14.3Pleaseee hellllpp!!!!
How many grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl?
Answer:
105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Step-by-step explanation:
We are given that the compound has 6.3 x10^23 atoms of Cl.
To find how many molecules of AuCl3 are in the given compound, we divide the compound by 3, i.e;
[tex]\frac{6.3 \times 10^{23} }{3}[/tex] = [tex]2.1\times 10^{23}[/tex] molecules of AuCl3.
Now, as we know that 1 mole of AuCI3 has [tex]6.022 \times 10^{23}[/tex] molecules.
So, the moles that our compound has is given by;
= [tex]\frac{2.1 \times 10^{23} }{6.022 \times 10^{23} }[/tex] = [tex]\frac{2.1}{6.022}[/tex] = 0.349 mole AuCI3
Also, the molar mass of AuCI3 = 303.33 g/mole
So, the molar mass of 0.349 moles AuCI3 = [tex]303.33 \times 0.349[/tex]
= 105.86 g
Hence, 105.86 grams of AuCl3, if the compound has 6.3 x10^23 atoms of Cl.
Find the coefficient of x^2 in the expression of (x - 7)^5. a. -3430 b. -3034 c. 3034 d. 3430
Answer:
let me know when you have the anwser
Step-by-step explanation:
show that the straight line x+y does not intersect the curve x^2-8x+y^2-12y+6=0 if k^2-20k+8>0
A truck is to be filled with packages that weigh 5.8kg. If the maximum capacity of the truck is 48000 grams and there is a 5500 gram package already on the truck how many 5.8kg packages can be loaded?
Answer: 7 packages
Step-by-step explanation:
From the question, we are told that a truck is to be filled with packages that weigh 5.8kg. The maximum capacity of the truck is 48000 grams(48kg) and there is a 5500 gram(5.5kg) package already in the truck.
First, we need to subtract 5.5kg from 48kg to know the amount of space left. This will be:
= 48kg - 5.5kg
= 42.5kg
To get the number of 5.8kg packages that can be loaded, we divide 42.5kg by 5.8kg. This will be:
= 42.5kg/5.8kg
= 7.3
= 7 approximately
Therefore, 7 packages will be loaded.
N.B: 1000 grams = 1 kilogram
Someone Help me please !
Answer:
[tex] \sqrt{9} \times \sqrt{16} [/tex]
Step-by-step explanation:
[tex] \sqrt{9} \times 16 = \sqrt{9} \times \sqrt{16} = 3 \times 4 = 12[/tex]
Hope this helps ;) ❤❤❤
Answer:
sqrt(9) * sqrt(16)
Step-by-step explanation:
sqrt( 9*16)
We know that sqrt(a*b) = sqrt(a) sqrt(b)
sqrt(9) * sqrt(16)
3*4
12
Which of these systems of linear equations has no solution?
2 x + 8 y = 15. 4 x + 16 y = 30.
2 x minus y = 18. 4 x + 2 y = 38.
4 x + 7 y = 17. 8 x minus 14 y = 36.
4 x minus 3 y = 16. 8 x minus 6 y = 34.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution
Step-by-step explanation:
Examine the system
2 x + 8 y = 15
4 x + 16 y = 30
We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.
Next, look at the system
2 x minus y = 18
4 x + 2 y = 38
If we divide the second equation by 2, we get the system
2x - y = 18
2x + y = 19
Combining these two equations, we get 4x = 37, which has a solution.
Third, analyze the system
4 x + 7 y = 17 => 8x + 14y = 34
8 x minus 14 y = 36 => 8x - 14y = 36, or 16x = 70, which has a solution
Finally, analyze the system
4 x minus 3 y = 16 => -8x + 6y = -32
8 x minus 6 y = 34 => 8x - 6y = 34
If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible. This system has no solution.
Answer:
4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.
Step-by-step explanation:
1,305 divided by 31,828 x100
Answer:
[tex]4 \frac{1}{10}[/tex]
Step-by-step explanation:
=> [tex]\frac{1305}{31828} * 100[/tex]
=> 0.041 * 100
=> 4.1
=> [tex]4 \frac{1}{10}[/tex]
Factor the expression 4x + 32. Explain each step you take in the process. 100 points goes to brainliest
Answer:
4(x+8)
Step-by-step explanation:
4x+32
x+8 in parentheses
and put the 4 on the outside of the parentheses
like this 4(x+8)
Answer:
4(x+8)
Step-by-step explanation:
4x + 32
Rewriting
4*x + 4*8
Factor out 4
4(x+8)
Bettina is measuring the food for her farm animals. She has 265 grams of corn, 500 grams of hay, and 495 grams of oats. What is the total weight in kilograms?
Answer
260 kilograms
Step-by-step explanation:
the correct answer is 260 kg
Answer: 12.6 kg
Step-by-step explanation: add the amounts of food for her farm, and just search for how many kg are in 1,260 grams
Which relation is not a function?
a) y = 1x + 7
by=- 4(x + 3)2 + 10
c) -2y = - 3x + 9
d) x2 + y2 = 25
Answer:
x^2+y^2=25
Step-by-step explanation:
x^2+y^2=25 graphs a circle. A relation is a function if every x only has one y value. This is not true in a circle.
Answer:
d) x^2 + y^2 = 25.
Step-by-step explanation:
D is the equation of a circle so it fails the vertical line test for a function. If a relation is a function then any vertical line passing through it's graph will only intersect it once. This is not true of a circle.
Help me asap i really need this
Answer:
3
Step-by-step explanation:
6/2
I hope this is right :)
Simplify the following expression. 3 – 2(–6x + 3)
Answer:
-3 + 12x
Step-by-step explanation:
3 - 2(-6x + 3)
3 + 12x - 6
-3 + 12 x
Hope this helped! :)
describe the solution to the system of equations graphed below.
Answer:
Step-by-step explanation:
The answer is B, the solution to your equation is at (2,1). Your solution is where the two lines meet.
Answer:
The second option.
Step-by-step explanation:
When two lines intersect, they usually intersect at just one point (unless they are parallel, where they never intersect; or no solutions when they infinitely intersect).
According to the graph provided, the lines are intersecting at one point: (2, 1).
So, your answer will be the second option!
Hope this helps!
44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average
speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria
Answer:
Time = distance/speed
max distance = 380+10 = 390 m
Max Time = 390/3.9 = 100 s
I really need help pls
Answer:
D.
Step-by-step explanation:
Original dimensions:
L = x
W = x
Now we reduce the width by 2 ft and increase the length by 2 ft.
L = x + 2
W = x - 2
The area is the product of the length and width.
A = LW = (x + 2)(x - 2)
The original length and width are 10 ft.
L = W = x = 10
A = LW = (10 + 2)(10 - 2) = 12 * 8 = 96
The new area is 96 sq ft.
Answer: D.
Use SOHCAHTOA for this. Work out 'm' in 3sf, I need the working out.
Anwer:3.537m
STEP BY STEP EXPLANATIOND:using SOH CAH TOA
First find the opposite
Represent the opposite with x
Tan 33° =x\10
x=10Tan 33°
x=6.494
To find m
Sin 33°=m\6.494 Sin 33°
m=3.5368
m=3.537meteres
A rectangular driveway has the dimensions shown below. Concrete costs $49.75 per square yard to pour. How much will it cost to pour concrete for the entire driveway?
[tex]\boxed{ \bf The~answer~is~$2,350.69.}[/tex]The answer is $2,350.69.
Explanation:First, we must find the area of the rectangular driveway.
A = l × w
A = 15.75 × 3
A = 47.25
So, the area of the driveway is 47.25 yd².
Next, we need to multiply the cost of each square yard by the area.
49.75 × 47.25 = 2350.6875
This can be rounded to 2,350.69.
Help
Use a calculator to find the
square root of 74 and round
to the nearest tenth.
d = 174.
d = [?]
Answer:
8.6
Step-by-step explanation:
The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6
The square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The square root of the value 74 will be calculated as below:-
D = √74
D = 8.602325267
D = 8.6
Therefore, the square root of 74 is 8.602325267. If you round this number to the nearest tenth you get 8.6.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
i need the answer right now
Here’s a graph of a linear function. Write the equation that describes that function.
Express it in slope-intercept form.
Answer:
The equation that describes the function is y = -6x-1
Step-by-step explanation:
Firstly we can see that the graph passes through the origin.
The general equation of a starlight line graph is;
y = mx + c
where m is the slope and c is the y-intercept
what’s left now is go find our slope
We need two points for this on the line.
Let’s identify these points;
The identifiable points are; (1,-7) and (-1,5)
So the formula for the slope is;
y2-y1/x2-x1 = (5-(-7))/(-1-1) = 12/-2 = -6
Thus, the equation of the line becomes
y = -6x + c
Looking at the graph again, we can see an obvious y-intercept at the point y = -1
So our intercept is -1
The equation of the line is thus;
y = -6x -1
Find the equation of the given parabola in vertex and standard form. Describe in words all transformations that have been applied to the graph of y=x^2 to obtain the given graph of the transformed function
Answer: [tex]a)\ \text{Vertex}:y=-\dfrac{3}{2}(x+1)^2+6[/tex]
[tex]b)\ \text{Standard}:y=-\dfrac{3}{2}x^2-3x=\dfrac{9}{2}[/tex]
c) Transformations: reflection over the x-axis,
vertical stretch by a factor of 3/2,
horizontal shift 1 unit to the left,
vertical shift 6 units up
Step-by-step explanation:
Intercept form: y = a(x - p)(x - q)
Vertex form: y = a(x - h)² + k
Standard form: y = ax² + bx + c
We can see that the new vertex is (-1, 6). Use the Intercept form to find the vertical stretch: y = a(x - p)(x - q) where p, q are the intercepts.
p = -3, q = 1, (x, y) = (-1, 6)
a(-1 + 3)(-1 -1) = 6
a (2)(-2) = 6
a = -6/4
a = -3/2
a) Input a = -3/2 and vertex (h, k) = (-1, 6) into the Vertex form to get:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
b) Input a = -3/2 into the Intercept form and expand to get the Standard form:
[tex]y=-\dfrac{3}{2}(x+3)(x-1)\\\\\\y=-\dfrac{3}{2}(x^2+2x-3)\\\\\\y=-\dfrac{3}{2}x^2-3x+\dfrac{9}{2}[/tex]
c) Use the Vertex form to identify the transformations:
[tex]y=-\dfrac{3}{2}(x+1)^2+6[/tex]
a is negative: reflection over the x-axis|a| = 3/2: vertical stretch by a factor of 3/2h = -1: horizontal shift left 1 unitk = +6: vertical shift up 6 unitsSolve -27p²q²+6p³-2p⁴-q³
Answer:
-27p^2 q^2 +6p^3 -2p^4 -q^3
Step-by-step explanation:
COMBINE LIKE TERMS
A: What are the solutions to the quadratic equation 9x2 + 64 = 0?
B: What is the factored form of the quadratic expression 9x2 +64?
Select one answer for question A, and select one answer for question B.
B: (3x + 81)(x - 1)
B: (x-8)(3x-8)
B:(3x8)(3x + 8)
B: (3x - 81)(3x + 81)
Ax = or x = -1
A:x =
A: x = i orx = -
O A x = 1
Answer:
B: (3x + 81)(x - 1)
Step-by-step explanation: