Answer:
314 m²
Step-by-step explanation:
the surface area of a sphere (As) is
As = 4×pi×r²
our radius r (half of the diameter) here is 5m.
As = 4×3.14×5² = 4×3.14×25 = 100×3.14 = 314 m²
SOMEONE HELP ME PLEASE
The XYZ Car Rental Agency charges a flat rate of $29 per day plus $0.32 per mile driven. Write an algebraic expression for the rental cost of a car for x days that is driven y miles.
Answer:
Total Cost = 29x + 0.32y
Step-by-step explanation:
It is 29x since you pay $29 per day, and x represents the number of days.
It is 0.32y since you pay $0.32 per mile, and y represents the number of miles.
Can you figure out what the area of this shape is?
Answer:
22 units
Step-by-step explanation:
split it into 3 sections, there are two sections of 2x3 and one of 1x10, together they make 22 units
Which points are on the graph of the function rule f(x) = 10 - 4x
-2 (x + 3z) + 4x - 3y + 2z
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
Answer:
please answer is then you thanks me
Step-by-step explanation:
-2(x + 3z) + 4x - 3y +2z
-2x -6z + 4x - 3y + 2z
=2x - 4z - 3y
Find the vertex of the graphed function.
16= \x - 4 +3
2
The vertex is at
Answer:
16=/-4+3+2
16=/-1jhcdf why
hyee852iok
[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form
Answer:
[tex]4(3x)^{\frac{3}{2} }[/tex]
Step-by-step explanation:
5. In the figure Find X (In the picture) (giving points to best answer/brainlest)
Answer:
x=93°
Step-by-step explanation:
the lower left interior angle of the triangle is 39° because it is an alternate-interior angle to the one marked as 39°
the lower right interior angle is 180-132, which is 87°
therefore, x=93° because the three angles must add to 180°
need help pleaseeeee
Which inequality represents all numbers x on a number line that are farther from −8 than from −4?
Answer:
x - 8>-4-x
Step-by-step explanation:
Looking at x - 8>-4-x
Collect the like terms;
x+x > -4 + 8
2x < 4
x > 4/2
x < 2
Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4
answer to the question
Answer:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
✔️DC = AB (opposite sides of a parallelogram are equal)
Therefore,
DC = 29 (Substitution)
✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)
DE = ½(89)
DE = 44.5
Find X so that a parallel to b
Step-by-step explanation:
4x+11+8x+1=180 (the two angles given is supplementary angles)
11x+12= 180
11x=168
x=168/11
x=15.27
please give brainly if it helps
Answer:
x = 14
Step-by-step explanation:
Same side interior angles are supplementary.
Therefore ,
( 4x + 11)° + ( 8x + 1 )° = 180 °
4x + 11 + 8x + 1 = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 14
Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.
Use the slope formula below:
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.
[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]
We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.
[tex] \large \boxed{y = mx + b}[/tex]
The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.
[tex] \large{y = - \frac{7}{6} x + b}[/tex]
Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:
[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]
Answer
y = -7x/6Hope this helps and let me know if you have any doubts! Good luck on your assignment!
Find all the roots of the given function on the given interval. Use pre-liminary analysis and graphing to find good initial approximations.
f(x) = cos (4x) - 4x2 + 9x
Answer:
The roots for [tex]f(x) = \cos 4x - 4\cdot x^{2} + 9\cdot x[/tex] are [tex]x_{1} = -0.098[/tex] and [tex]x_{2} = 2.166[/tex], respectively.
Step-by-step explanation:
A root is a value of [tex]x[/tex] so that [tex]f(x) = 0[/tex]. Let suppose that function is the consequence of the subtraction between two functions, that is:
[tex]f(x) = g(x) - h(x)[/tex] (1)
If we know that [tex]f(x) = 0[/tex], [tex]g(x) = \cos 4 x[/tex] and [tex]h(x) = 4\cdot x^{2}-9\cdot x[/tex], then we have the following identity:
[tex]g(x) = h(x)[/tex]
We can estimate graphically the roots of [tex]f(x)[/tex] by graphing the following system:
[tex]y = \cos 4x[/tex] (2)
[tex]y = 4\cdot x^{2}-9\cdot x[/tex] (3)
Where roots are the points in which functions find each other.
With the help of a graphing, we estimate two solutions:
[tex](x_{1}, y_{1}) = (-0.098, 0.924)[/tex], [tex](x_{2}, y_{2}) = (2.166, -0.725)[/tex]
Please give me the right answer me going onto my sophomore year depends on this
Answer: 5.5. if you divide you will clearly see it is 5.5 so D
Step-by-step explanation:
whatcha of the following is the quotient of
Answer:
(2y+3)
Step-by-step explanation:
use the following picture to classify the following statements as true or false
Kevin and his elder brother Jason jog every morning. Kevin runs 1.5 miles per hour slower
than Jason. When Jason ran 5 miles, Kevin only ran 4.2 miles. Find their running speeds.
(Write an algebraic equation first, then solve.)
Answer:
Jason - 9.375 miles per hour
Kevin -7.875 miles per hour
Step-by-step explanation:
Let Jason’s running speed be x miles per hour
Kevin runs 1.5 miles per hour less;
so his running speed will be (x-1.5) miles per hour
At any point, distance = speed * time
Their running time is same here;
Jason’s running time will be 5/x
Kevin’s running time will be 4.2/(x-1.5)
These times are equal;
So;
5/x = 4.2/(x-1.5)
5(x-1.5) = 4.2x
5x - 7.5 = 4.2x
5x-4.2x = 7.5
0.8x = 7.5
x = 7.5/0.8
x = 9.375 miles per hour
So kevin’s speed will be 9.375 - 1.5 = 7.875 miles per hour
How many-foot pieces of wood
can you cut from a board that is
6 feet long?
Answer:
6
Step-by-step explanation:
Foot long = 1 foot
6 / 1 = 6 foot pieces
Find the maximum or minimum value of y = 3x² + 7x + 9 by completing the squares state the value of x at which the function is maximum or minimum.
Answer:
The minimum is 59/12
Step-by-step explanation:
you should calculate the -b/2a = -7/6
you should put -7/6 in the x variable
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Percent increase ≈
%
Answer:
10
Step-by-step explanation:
Plz help me solve this
Answer: x=-3
Step-by-step explanation:
First let's eliminate the square root
[tex](\sqrt{x^2-5x+2})^2=(\sqrt{x^2+17})^2\\x^2-5x+2=x^2+17[/tex]
Now subtract [tex]x^2\\[/tex] from both sides
[tex]x^2-5x+2-x^2=x^2+17-x^2\\-5x+2=17[/tex]
Subtract 2 from both sides
[tex]-5x+2-2=17-2\\-5x=15[/tex]
Finally divide both sides by -5
[tex]\frac{-5x}{-5} =\frac{15}{-5} \\x=-3[/tex]
3.
Use the concept of a series to sum up 0.315+0.000315+0.000000315+.... Give your final answer
in reduced fraction form. Note: There are several methods to prove this fact. I am specifically asking
you to use a series.
Dividing each term in the given series by 0.315 reveals a simple geometric sum,
0.315 (1 + 1/1,000 + 1/1,000,000 + …)
or
0.315 (1 + 1/10³ + 1/10⁶ + …)
or
[tex]\displaystyle 0.315 \sum_{n=0}^\infty \frac1{10^{3n}} = 0.315 \sum_{n=0}^\infty \frac1{1000^n}[/tex]
i.e. a geometric sum with a common ratio of 1/1,000. I'm not sure what your instructor expects exactly, but you may already know that
[tex]\displaystyle a\sum_{n=0}^\infty r^n = \frac a{1-r}[/tex]
if |r | < 1. This is the case here, so
0.315 (1 + 1/1,000 + 1/1,000,000 + …) = 0.315 / (1 - 1/1,000)
… = (315/1000) / (999/1000)
… = 315/999
… = 35/111
A coin is flipped 8 times. Find the probability of the event:
exactly 6 heads
Answer:
P(E)=56256=732. Step-by-step explanation:
Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row
WILL MARK BRAINLIEST
Answer:
25.12 cm
Step-by-step explanation:
circumference= 2pi*r
3.14x8x2= 50.24
50.24/2= 25.12 cm
Or you could have just done 3.14 x8 which equals 25.12 as well
The Sugar Sweet Company is going to transport its sugar to market. It will cost 4500 to rent trucks, and it will cost an additional 255 for each ton of sugar transported.
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S Then use this equation to find the total cost to transport 16 tons of sugar.
Answer:
C(s) = total cost function
$5,500 base price to rent trucks
$250 per ton of sugar to be transported
Total Cost = Price per ton of sugar * # of tons + total cost to rent trucks
C(s) = $250s + $5,500
For 14 tons of sugar the total cost would be:
C(s) = $250(14 tons) + $5,500
C(s) = $9,000
Total cost to transport 14 tons of sugar would cost $9,000
Match each three dimensional figure to its volume based on the given dimensions.
please attach a diagram
Rewrite log(8)-log(2) in form log(c)
Answer:
log(4).
Step-by-step explanation:
By the law of logarithms:
log(8) - log(2)
= log(8/2)
= log(4).
The radius of the circle whose equation is (x - 3)2 + (y + 1)2 = 16 is: 4
Answer: x=10-y
Step-by-step explanation:
I need help asp please!!
Historically, the average diameter of the holes drilled has been 0.25 cm and the average range has been 0.10 cm. Samples of size 4 will be collected. For the R-chart, what is the value of upper control limit
Solution :
Given the average range of the holes drilled = 0.10 cm
The average diameter of the holes drilled = 0.25 cm
The sample size = 4
For the sample size of 4, the factor for control limit for the range ([tex]D_4[/tex]) = 2.28 (From the table of constants for X-bar and R-chart)
The upper control limit for the R-chart = R-bar x [tex]D_4[/tex]
= 0.10 x 2.28
= 0.228
Therefore, the answer is greater than 0.202 but less than or equal to 0.302