Answer: C) 6.0025
Step-by-step explanation:
The equation for the area of a circle requires the radius, you put in the full diameter. Just divide 4.9 by 2, which gives you 2.45. 2.45 squared is equal to 6.0025 and then slap your pi on to the end of it.
Answer:
[tex]6.0025\pi \: {m}^{2} [/tex]
Step-by-step explanation:
The formula for the area of a circle:
[tex]\pi \times {r}^{2} [/tex]
We are given the diameter of the circle, which is two times its radius. To find the radius, we divide the diameter by 2.
4.9 ÷ 2 = 2.45 m^2.
Now we need to square the radius:
[tex] {2.45}^{2} = 6.0025[/tex]
So, the area in terms of pi would be
[tex]\pi \ \times {6.0025}^{2} \: {m}^{2} [/tex]
Or
[tex]6.0025 \times \pi \: {m}^{2} [/tex]
Hope this helps!
Use the discriminant to describe the roots of each equation. Then select the best description.
7x2 + 3 = 8x
double root
real and rational root
real and irrational root
imaginary root
Answer:
imaginary root
Step-by-step explanation:
7x^2 + 3 = 8x
Subtract 8x from each side
7x^2 -8x+ 3 = 8x-8x
7x^2 -8x+3 =0
This is in the form ax^2 +bx+c
The discriminant is b^2 -4ac
a=7 b=-8 c=3
b^2-4ac = (-8)^2 -4(7)(3) = 64 - 84 = -20
Since this is negative, we have imaginary roots
What’s the answer?????????????
Answer:
1) binomial
2) monomial
Step-by-step explanation:
mono-think one
bi-think two
tri-think thee
poly-1 or more
So 1 goes with binomial
and 2 goes with monomial
See if you can figure out 3 and 4
I can check them.
What is C’ T’ if there was a rotation ?
Answer: The Answer Is 4) Hope it Helps!
Step-by-step explanation:
some one please help me with these questions please answer any that you know are correct i cant risk any wrong answers
1. Add. (−5x ^4 +6x^2−43)+(6x^4−x^2+12x+12)
express the answer in standard form.
enter your answer in the box
2. ADD (x^3-2x^2+4)+(2x^3 + x^2−2)
Express the answer in standard form.
Enter your answer in the box.
3.ADD (1+7x^3-x^2) + (x^3+2+2x^2)
express the answer in standard form .
enter your answer in the box
Answer: 1) x⁴ + 5x² + 12x - 31
2) 3x³ - x² + 2
3) 8x³ + x² + 3
Step-by-step explanation:
1) Line up like terms and add the coefficients of each term
-5x⁴ + 6x² - 43
+ 6x⁴ - 1x² + 12x + 12
x⁴ + 5x² + 12x - 31
2) Line up like terms and add the coefficients of each term
1x³ - 2x² + 4
+ 2x³ + 1x² - 2
3x³ - x² + 2
3) Line up like terms and add the coefficients of each term
7x³ - 1x² + 1
+ 1x³ + 2x² + 2
8x³ + x² + 3
Solve for q; 6n-5q/11t = c
Answer:
[tex]\large\boxed{q=\dfrac{6n-11ct}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{6n-5q}{11t}=c\qquad\text{multiply both sides by}\ 11t\neq0\\\\6n-5q=11ct\qquad\text{subtract}\ 6n\ \text{from both sides}\\\\-5q=11ct-6n\qquad\text{change the signs}\\\\5q=6n-11ct\qquad\text{divide both sides by 5}\\\\q=\dfrac{6n-11ct}{5}[/tex]
What is a correct first step in solving the inequality-4(3-5x)>-6x+9
Answer:
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
Step-by-step explanation:
-4(3-5x)>-6x+9
We need to solve the above inequality
The first step will be to open the bracket i.e multiply -4 with 3 and -5x which is also called distributive law
(-4*3) (-4*-5x) >-6x+9
-12 +20x >-6x+9
-12 + 20x >-6x+9
The next step will be to add +12 on both sides
-12 + 20x +12 >-6x+9+12
20x >-6x+21
The next step will be to add +6x on both sides
20x +6x > -6x+21 +6x
26x > 21
x > 21/26
The slope of the line below is 4. Which of the following is the point-slope form
of the line?
(-3,-4)
A. y+ 4 = 4(x+3)
B. Y-4 =-4(x-3)
C. y-4= 4(x-3)
D. Y+4 = -4(X+3)
Answer:
A: y+4=4(x+3)
Step-by-step explanation:
Point-Slope Formula:
y-y1=m(x-x1)
Substitute:
y-(-4)=4(x-(-3))
-(-)=+
P: y+4=4(x+3)
What is the absolute value of….
1. |-5|?
2. |13|?
3. |25|?
4.|-7|?
Answer:
1. 5
2. 13
3. 25
4. 7
Step-by-step explanation:
|-5|=5
|13|=13
|25|=25
|7|=7
(50points!!please help!)
Answer:
21.16
Step-by-step explanation:
First find the tax
16.40 * 9%
16.40 *.09 = 1.476 = 1.48
Then we need to find the tip
16.40 *20%
16.40 *.20 = 3.28
The total is the bill plus tax plus tip
16.40 + 1.48 + 3.28
21.16
What is the length of each leg of the triangle?
Answer:
the answer you selected is correct
Step-by-step explanation:
this is a special right triangle. to find the other sides that will be equal to each other you can divide by square root of two so then you have to put the square root in the numerator and so you multiply by square root of 2 over square root of 2 which equals one technically so then you get 22 square root of 2 over 2 which simplifies to 11 square root over two
The sum of two numbers is 21.
The second number is six times the first number.
Work out the two numbers.
Answer:
Pretend that x and y represents the 2 numbers that we need to find.
According to the information, we know that:
x + y = 21
6x = y
Replace y in the first equation with 6x (because they are equal to each other according to the second equation):
x + y = 21
x + 6x = 21
7x = 21
x = 21/7 = 3
Now have two ways to find y, both will give us the same result:
3 + y = 21 ⇔ y = 21 - 3 = 18
6 · 3 = y ⇔ y = 18
So the numbers that we need to find are 3 and 18.
Answer:
3 and 18.
Step-by-step explanation:
If one number is x then the other is 6x.
So, x + 6x = 21
7x = 21
x = 3.
The other number is 21 - 3 = 18.
The circumference of a circle is 28π inches. What is the length of the radius of this circle?
14 in.
21 in.
28 in.
56 in.
Please help fast
Answer:
The radius of the circle is 14 inches.
Step-by-step explanation:
How is the circumference of a circle related to its radius?
[tex]\displaystyle \text{Circumference} = \pi\times \text{Diameter} = \pi\;(2\times \text{Radius})[/tex].
In brief,
[tex]\text{Circumference} = 2\pi\times \text{Radius}[/tex].
For this question,
[tex]\text{Circumference} = 28\pi[/tex], and[tex]\text{Radius}[/tex] needs to be found.Divide both sides of the equation by [tex]2\pi[/tex]:
[tex]\displaystyle \frac{\text{Circumference}}{2\pi} = \text{Radius}[/tex].
[tex]\displaystyle \text{Radius} = \frac{\text{Circumference}}{2\pi} = \frac{28\pi}{2\pi} = 14[/tex].
In other words, the radius of this circle is 14 inches.
If f(x) = 3х -2 and g(x) = 2х+4 , find (f - g)(x).
ОА. Эх? - 2х - в
ов. 2x – 3х -2
Ос. х2 +2
OD. зх. -2x+2
Answer:
(f - g)(x) = x - 6Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
We have f(x) =3x - 2 and g(x) = 2x + 4. Substitute:
(f - g)(x) = (3x - 2) - (2x + 4)
(f - g)(x) = 3x - 2 - 2x - 4 combine like terms
(f - g)(x) = (3x - 2x) + (-2 -4)
(f - g)(x) = x - 6
You are helping with some repairs at home. You drop a hammer and it hits the
floor at a speed of 8 feet per second. If the acceleration due to gravity (g) is
32 feet/second, how far above the ground (h) was the hammer when you
dropped it? Use the formula:
V = 2gh
Answer:
1 foot.
Step-by-step explanation
That is not the correct formula. Correct is V^2 = 2gh where h = the height
so the equation is:
8^2 = 2*32* h
h = 64/ 64 = 1 foot.
Answer:
[tex]h=\frac{1}{8} feet[/tex]
Step-by-step explanation:
In order to be able to solve this problem you just have to clear the formula for height:
V=2gh
[tex]\frac{V}{2g}=H[/tex]
[tex]\frac{8}{64}=H[/tex]
[tex]\frac{1}{8}=H[/tex]
So the height from which the hammer is dropped is 1/8 feet.
I need help with finding the arc measure of this problem.
Answer:
180+69=249
I got 180 from the ABC, that is half the circle then + the 69
7,125,000,000. What is this to the nearest billion?
Answer:
7 billion
Step-by-step explanation:
Rounding decreqases when number is under 5 and if its above (Ex, 7,685,000,000) it is rounded to 8 billion. But here, it is under 5 so it is 7 billion.
Answer:
7,000,000,000
Step-by-step explanation:
Note the Billions place value. 7 is in the billions place value. To find out if you round up or down, look at the place value directly to the right of the one you are trying to find, in this case, being the hundred million place value. The value inside the hundred million place value is a 1.
Note that the number has to be 5 or greater to round up, or else you round down. Because 1 < 5, you round down.
7,125,000,000 rounded to the nearest billion is 7,000,000,000.
~
Can someone please help me wit this
Can someone please help me out with this question??
Answer:
Step-by-step explanation:
1176 - 168 =1008 1176 + 1008= 2134
hours:2134 = 3 weeks
hours: 1176 = 2 weeks
I have this question in Geometry that I need help with, can you help me solve it?
Find the coordinates of the midpoint of a segment having the given endpoints.
Q(1, -3), R(11, 5)
Answer(6,1)
Step-by-step explanation:
you need to use the midpoint formula
each exterior angle of a regular polygon measures 45 degrees. how many sides does the polygon have
Answer:
8
Step-by-step explanation:
to find the number of sides when you are given an exterior angle you divide 360 (because that's what all exterior angles equal) by the one exterior angle you were given. in this case 360/45=8
Answer:
8 sides
Step-by-step explanation:
because you use the formula for exterior angles; [tex]\frac{360}{n}[/tex], you plug in the number of sides in the denominator and then divide 360 by n
Which is the approximate difference in the tenths between?
Answer:
0.4
Step-by-step explanation:
0.2 is too small, and everything above 1.0 is too big, so by default, must be 0.4
Factor the polynomial.
3x^4 +6x^3 + 9x^2
Answer:
3 x^2 (x^2 + 2 x + 3)
Step-by-step explanation:
Factor the following:
3 x^4 + 6 x^3 + 9 x^2
Hint: | Factor common terms out of 3 x^4 + 6 x^3 + 9 x^2.
Factor 3 x^2 out of 3 x^4 + 6 x^3 + 9 x^2:
Answer: 3 x^2 (x^2 + 2 x + 3)
If you wanted to make the graph of y = 7x- 14 steeper, as well as shift the y
intercept of this line up, which equation could you use?
A. y= 5x - 18
B. y = 9x - 10
C. y= 5x – 10
D. y= 9x - 18
Answer:
Option B: y = 9x - 10.
Step-by-step explanation:
General equation of a straight line in the 2-D plane is given by:
y = mx + c; where m is the slope and c is the y-intercept.
The given equation of the line is y = 7x - 14; where m=7 and c=-14.
To make the line steeper, the gradient has to be increased. Therefore, Options A and C are incorrect because 5 is less than 7. This makes the Options B and D the remaining options because 9 is greater than 7.
To shift the y-intercept of this line up, the y-intercept has to be increased. Since -10 is greater than -14 and -18 is lesser than -14, therefore the latter option (Option D) is the incorrect option. So the correct answer is Option B: y = 9x - 10!!!
The exponential curve of best fit is given as y = 4(7)*. Find the value of y when x= 3.
Answer:
1372
Step-by-step explanation:
y=4(7)^3
You multiply 7x7x7 which gives you 343
Now you plug that in.
y=4(343)
Multiply it and you get
y=1372
indicate the equation of the line through (2,-4) and having slope off 3/5.
By using the concept of slope of a Straight line,we arrive to the conclusion that the equation of line through (2,-4) and having slope off 3/5 is y = - (1/2)x - 26/5.
The slope of this Straight line is given as=3/5
Thus,the equation of the straight line becomes y=(3/5)x [tex]+[/tex]c.
Now,if substituting the Slope of the line in the equation of this line.
y=(3/5)x [tex]+[/tex]c.
In the point(2,-4):
-4=(3/5)(2) [tex]+[/tex] c
-4=(6/5) [tex]+[/tex] c
c=-4-(6/5)
= - 26/5
Therefore, the final equation is y= - (1/2)x - 26/5
To learn more about Straight line,
brainly.com/question/31693341
What is the image of (1, -6) for a 180° counterclockwise rotation about the origin?
a( -1,-6)
b( -1,6)
c(6,1)
d( -6,-1)
Answer: option b
Step-by-step explanation:
It is important to know that, by definition, the rule for 180 degrees counterclockwise rotation is:
[tex](x,y)[/tex]→[tex](-x,-y)[/tex]
Therefore, given the point (1, -6) we can find the image obtained for for a 180° counterclockwise rotation about the origin by applying the rule mentioned before.
Then, the image is:
[tex](1,-6)[/tex]→[tex](-(1),-(-6))=(-1,6)[/tex]
Answer:
The correct answer option is b. ( -1, 6).
Step-by-step explanation:
We are given a point which is rotated 180 degrees counterclockwise about the origin (0, 0). We are to find the coordinates of the image of this point after the rotation.
The rule for rotating a point 180 degrees counterclockwise is:
(x, y) ---> (-x, -y)
So for the given point, the coordinates of the image will be:
(1, -6) ---> (-1, -(-6)) ---> (-1, 6)
A transformation T : (x,y) (x-5,y +3) the image of A(2,-1) is
[tex]A'=(2-5,-1+3)=(-3,2)[/tex]
Question 10
Jur's car can travel 340 miles on 12 gallons. Jack's car can travel 390 miles on
16 gallons. Which person has the best mileage (miles per gallon) and what is
their mileage?
Answer:
Jur's car
Step-by-step explanation:
Jur's car's mileage= 340/12=28.3333333333
Jack's car's mileage=390/16=24.375
brainliest if you are satisfied plz
Answer:
Jur 28 1/3 miles per gallon
Step-by-step explanation:
To find the miles per gallon, take the miles driven and divide by the gallons used.
Jur: 340/12 =28.333333 miles per gallon
Jack : 390/16 = 24.375 miles per gallon
Jur has better gas mileage because his number is higher
Please help I need it
Answer:
Yes. It's a right triangle.Step-by-step explanation:
If a ≤ b < c are the length of the sides of a right triangle, then
a² + b² = c².
We have:
a =30 ft, b = 40 ft and c = 50 ft.
Check the equality:
L = 30² + 40² = 900 + 1600 = 2500
R = 50² = 2500
L = R
A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?
–7
–1
1
7
Answer:
-1Step-by-step explanation:
[tex]f(1)=-4\\\\f(n+1)=f(n)+3-\text{the next term is 3 bigger than the previous one}\\\\f(2)=-4+3=-1[/tex]