Answer: $60
Step-by-step explanation:
Given the following :
Total cost of renting a personal water craft = $64.20
Sales tax charged = 7%
Let the pretax cost = y
Therefore,
total cost = pretax cost + tax
$64.20 = y + 7% of y
$64.20 = y + 0.07y
$64.20 = 1.07y
y = $64.20 / 1.07
y = $60
Therefore, the rental cost of a personal watercraft for half an hour before tax is $60
Please answer it now in two minutes
Answer:
135.5
hope this helps :)
You can buy 5 cans for green beans at the village market for $2.80. You can buy 10 of the same cans of beans at Sam's club for $4.90. Which place is the better to buy
Answer:
The unit price at the village market is 2.80 / 5 = 0.56 and the unit price at Sam's Club is 4.90 / 10 = 0.49. Since 0.49 < 0.56, the answer is Sam's Club.
Answer: Sam's club
Step-by-step explanation:
Because 10/2 = 5, at Sam's club you get twice the beans. Thus, simply multiply 2.8*2 = 5.60. Because $5.60>$4.90, the village market is the worse place to buy.
I need a. Correct answer I will mark brainliest
Answer:
Option (A)
Step-by-step explanation:
By satisfying the equation of a function 'f' by each coordinates given in the options we can get the point which lies on the graph of f(x) = [tex]2\times (5)^x[/tex]
Option (A). (1, 10)
f(1) = [tex]2\times (5)^1[/tex]
10 = 10
True.
Therefore, point (1, 10) lies on the graph.
Option (B). (0, 10)
f(0) = [tex]2\times 5^0[/tex]
10 = 2
Not true.
Therefore, point (0, 10) doesn't lie on the graph.
Option (C). (10, 1)
f(10) = [tex]2\times 5^{10}[/tex]
1 = 19531250
Not true.
Therefore, point (10, 1) doesn't lie on the graph.
Option (D). (0, 0)
f(0) = [tex]2\times 5^0[/tex]
0 = 2
Not True.
Point (0, 0) doesn't lie on the graph.
Option (A) will be the answer.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{F(x)>0}[/tex]
Step-by-step explanation:
The range is the set of possible values of y (the output).
The input value x is all real numbers, because there are no restrictions on x.
When the input x is all real numbers, the output is always greater than 0.
[tex]2^{-15}= 0.00003051757[/tex]
[tex]2^{8}= 256[/tex]
[tex]2^{-4}= 0.0625[/tex]
a firefighter dives at 7.5 m/sec from window to net. If window is 34 m above net, what speed does firefighter hit net. ACCELRATION IS 9.8 m/sec^2
Answer:
Step-by-step explanation:
This is more physics than math, but since "The book of nature is written in the language of mathematics"...
Anyway, the one-dimesional motion equation you want to use here resembles the quadratic we use to model parabolic motion. It is
[tex]v^2=v_0^2+2a[/tex]Δx
where v is the final velocity of the firefighter, v₀ is the initial velocity of the firefighter, a is -9.8 m/s/s (negative because the motion is in the downward direction), and Δx is -34 m. This is also negative because where the firefighter lands is below the point at which he started. This is important, because if you leave the 34 as positive, you end up with a negative radicand...and that's not gonna work. Filling in the formula:
[tex]v^2=(7.5)^2+2(-9.8)(-34)[/tex]
Paying close attention to significant digits here is important (at least it is when I teach physics in school!). Since there are 2 significant digits in 7.5, we need 2 in the product. 7.5 squared is 56.25 which will round to 56. Then on the right side of the plus sign, we need 2 significant digits as well since the number 2 is part of the equation. We don't count it as significant if it is part of the equation. 2(-9.8)(-34) = 666.4 but that will round to 670. NOW, since the rules for significant digits are different in multiplication and addition, you have to round each first, then take the square root of the sum, rounding at the end. In this case we will round to the place that holds the least significance between the 2 numbers. In our case that is the tens place, since the tens place is less significant than is the 1's place. The number 7 is in the tens place. (Following that rule is super tricky, and also quite maddening!)
What we have here is
[tex]v^2=56+670[/tex] and
[tex]v=\sqrt{56+670}[/tex]
That leaves us with
v = 26.94438j
But don't forget we round that to the tens place which comes out in the end, finally, to
v = 30 m/s
On a coordinate plane, 2 lines are shown. Line H J has points (negative 4, negative 2) and (0, 4). Line F G has points (negative 4, 1) and (0, negative 2). Which statement best explains the relationship between lines FG and HJ? They are perpendicular because their slopes are equal. They are perpendicular because their slopes are negative reciprocals. They are not perpendicular because their slopes are equal. They are not perpendicular because their slopes are not negative reciprocals.
Answer:
They are not perpendicular because their slopes are not negative reciprocals.
Step-by-step explanation:
Well first we need to find slope.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
Line HJ)
(-4,-2) , (0,4)
y2 is 4 y1 is -2, so 4 - -2 = 6
0 - -4 = 4
6/4 -> 3/2
Due to the point (0,4) having no x value 4 is the y intercept.
Hence, y = 3/2x + 4 is the slope of line HJ
Line FG)
(-4,1) , (0,-2)
y2 is -2 y1 is 1, so -2 - 1 = -3
0- -4 = 4
Because (0,-2) is missing an x value -2 is the y intercept,
Equation: y = -3/4x - 2
They are not perpendicular because their slopes are not negative reciprocals.
The slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Recall:
Lines that are parallel will have the same slope.Lines that are perpendicular to each other will have slope values that are negative reciprocal of each other.Slope (m) = [tex]\frac{y_2- y_1}{x_2 - x_1}[/tex]Given that lines HJ (blue line) and FG (red line) are on a coordinate plane as shown in the diagram attached below, let's find their slope:
Slope of line HJ:
[tex]Slope (m) = \frac{-2 - 4}{-4 -0} = \frac{-6}{-4} = \frac{3}{2}[/tex]
Slope of HJ is 3/2Slope of line FG:
[tex]Slope (m) = \frac{-2 - 1}{0-(-4)} = \frac{-3}{4} = -\frac{3}{4}[/tex]
Slope of FG is -3/4Therefore, the slope of HJ (3/2) and the slope of FG (-3/4) are not negative reciprocal, so, they are not perpendicular. (Option D).
Learn more here:
https://brainly.com/question/18975049
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
Pls hellppp
Jennifer wants to visit 4 different cities A,B,C and D on her vacation. If she will visit them one at a time, and completly random, what is thr probabitly that she will visit them in the exact order ABCD or DCBA?
Answer: The probability that she will visit them in the exact order ABCD or DCBA = [tex]\dfrac{1}{12}[/tex]
Step-by-step explanation:
Given: Jennifer wants to visit 4 different cities A,B,C and D on her vacation.
If she visits in an order , total such orders will be [tex]4![/tex] = 4 x 2 x 3 x 1 =24.
Since probability = [tex]\dfrac{\text{Favourable outcomes}}{\text{total outcomes}}[/tex]
In this case favorable outcomes ( ABCD , DCBA)= 2
Total outcomes = 24
Required probability = [tex]\dfrac{2}{24}=\dfrac{1}{12}[/tex]
Hence, the probability that she will visit them in the exact order ABCD or DCBA = [tex]\dfrac{1}{12}[/tex]
ANSWER ASAP DO # 8 AND 9
Answer:
8: 1721 m
9: 1173 m
Step-by-step explanation:
8:
[tex]d = v_{i} t + \frac{1}{2}at^{2}[/tex]
because initial velocity is 0:
[tex]d = \frac{1}{2} at^{2} = \frac{1}{2}(3.2m/s^2)(32.8 s)^2 = 1721.344 m[/tex]
9:
[tex]v_f^2 = v_i^2 + 2ad[/tex]
because velocity initial is 0:
[tex]v_f^2 = 2ad[/tex]
[tex]d = \frac{v_f^2}{2a} = \frac{(88m/s)^2}{2(3.3 m/s^2)} = 1173.3333 m[/tex]
Answer:
do it youself
Step-by-step explanation:
Which of the following graphs is the graph of
Answer:
Graph A is the one that represents the given piecewise function.
Step-by-step explanation:
Notice that the Domain of the given function has been partitioned in three sections:
[tex]-2\leq x<0\,\,; \,\,\,x = 0\,\,;\,\,\,0<x\leq 2[/tex]
in the first section we have that the function responds to [tex]f(x)=x-1[/tex], which is a line of positive slope (ascending line) equal to "1", and y-intercept at y= -1.
This line should therefore start at the point (-2, -3) (when x = -2) and end at y almost equal to -1, when x approaches the value zero; and an empty dot should be seen in the position (0, -1)
For x = 0 we should see a solid dot located at the position (0, 1) on the plane.
And finally for the third section we should see a horizontal segment (that represents a constant value of 3, starting with an empty dot at the point (0, 3), and ending on a solid dot located at (2, 3).
This is what we see represented by the graph labeled A in the list of answer options.
Answer:
B
Step-by-step explanation:
Greg goes fishing every day for a week. On the first day he catches seven fish and each
day he catches three more than the previous day. How many fish did he catch in total?
so first day and so on
7, 10, 13,....
as you can see it's an arithmetic progression
so sum for nth term= n/2 { 2a + (n-1) d}
it's the sum of the 7th term
so
7/2 { 7 ×2 + ( 7-1) 3}
7/2 × 32
7× 16
112 fishes
Answer:
I think the answer is 25
Step-by-step explanation:
7+3+3+3+3+3+3 becuase a week is seven days and the numbers there is seven ,and you plus the 7 with the remaining six days which are 3 each day,my answer was now 25 .please if you know this answer is wrong please tell everyone the correct oneDrag each tile to the correct box. The graph shows a proportional relationship between the number of words Shania can type and the time it takes her to type them. What does these ordered pairs mean? (5, 150) (1, 30) (0, 0) _____ Shania types 30 words in 1 minute. --> ______ Shania types 120 words in 4 minutes. ---> ____ Shania types 150 words in 5 minutes. ---> _____ (I REALLY Need help on this ASAP! This is Half of my points. Please help me out!)
Answer: Shania types 30 words in 1 minute. --> (1, 30)
Shania types 120 words in 4 minutes. --> (4,120)
Shania types 150 words in 5 minutes. ---> (5, 150)
Step-by-step explanation:
In the given graph, At x-axis we have Time (minutes) which is an independent variable. On the other hand, at y-axis we have Words type which is dependent varaible.
Point on graph is written in the form (x,y)
So, points corresponding to
Shania types 30 words in 1 minute. --> (1, 30) [here x= 1 and y=30]
Shania types 120 words in 4 minutes. --> (4,120) [here x=4 and y=120]
Shania types 150 words in 5 minutes. ---> (5, 150)[here x= 5 and y=150]
The sports car travels along a straight road such
that its acceleration is described by the graph. Construct the
v-s graph for the same interval and specify the velocity of
the car when s = 10 m and s = 15 m.
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
for the interval 0-10 seconds,
a(t) = t m/s^2
v(0) = 0
v(t) = v(0) + integral(a(t)dt)
= 0 + [t^2/2]
= (1/2) t^2
s(0) = 0 .................. arbitrary
s(t) = s(0) + integral(v(t)dt)
= 0 + integral ((1/2)t^2)
= (1/6)t^3
When s(t) = 10 m,
(1/6)t^3 = 10
t^3 = 60
t_1 = 60 ^(1/3) = 3.9149 s approx.
v(t_1) = (1/2) t_1^2 = (1/2)3.9149^2 = 7.663 m/s
When s = 15 m
(1/6)t^3 = 15
t^3 = 90
t_2 = 4.4814 s approx.
v(t_2) = (1/2)t_2^2 = (1/2)4.4814^2 = 10.041 m/s
Answer:
at s = 10m, v(t_1) = 7.663 m/s
at s = 15m, v(t_2) = 10.041 m/s
Step-by-step explanation:
I took the test and got it right
Please answer this question now
Answer:
k=180-23-90=67...................
Answer:
< k = 67°
Step-by-step explanation:
HJ tangent to HG => < H = 90°
< K = 180° - (<J + <H)
= 180° - (90° + 23°)
= 180° - 113°
= 67°
Plz.. Help me.. True or false?
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex](p-q)^2[/tex]
[tex](p-q)(p-q)[/tex]
Use FOIL method.
[tex]p^2-pq-pq +q^2[/tex]
[tex]p^2-2pq +q^2[/tex]
John is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 5 miles per hour and returns along the same route at an average speed of 7 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
(A) 5.5
(B) 5.8
(C) 6.0
(D) 6.3
(E) 6.5
Answer:
Average speed
= 5 5/6 mph , or
= 5.83 mph (to 2 decimals)
Step-by-step explanation:
Average speed is total distance divided by the total time it takes to cover the given distance.
Since uphill = 5 mph, and downhill = 7 mph, we know the average speed is between 5 and 7 mph.
Let
x = distance uphill, and also distance downhill.
Total distance = 2x miles
Total time = x/5 + x/7 hours = 12x/35 hours
Average speed
= total distance/total time
= 2x / (12x/35) mph
= 70x / 12x
= 5 5/6 mph
= 5.83 mph (to 2 decimals)
A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population standard deviation of 0.5. The distribution of number of movies watched per month follows the normal distribution. A random sample of 30 college students revealed that the mean number of movies watched last month was 7.3. At the 0.05 significance level, can we conclude that college
Answer:
Step-by-step explanation:
Given that :
Mean = 7.8
Standard deviation = 0.5
sample size = 30
Sample mean = 7.3 5.4772
The null and the alternative hypothesis is as follows;
[tex]\mathbf{ H_o: \mu \geq 7.8}[/tex]
[tex]\mathbf{ H_1: \mu < 7.8}[/tex]
The test statistics can be computed as :
[tex]z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}[/tex]
[tex]z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}[/tex]
[tex]z = - 5.4772[/tex]
The p-value at 0.05 significance level is:
p-value = 1- P( Z < -5.4772)
p value = 0.00001
Decision Rule:
The decision rule is to reject the null hypothesis if p value is less than 0.05
Conclusion:
At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.
You give me answer=BRAINLIEST
Answer:
A. 2
Step-by-step explanation:
Well let’s first graph the following,
[tex]x^2 + y = 8[/tex]
[tex]x=y[/tex]
So on the graph the system of equations only have 2 real solutions which are
(-3.272, -3.272) (2.372,2.372)
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.
Make sure to simplify radicals. Leave your answers as radicals in simplest
form.
60°
x
10
y =
ㄷ
Answer:
[tex]x=20[/tex]
[tex]y=10\,\sqrt{3}[/tex]
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
[tex]tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}[/tex]
and also:
[tex]cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20[/tex]
use the graph to find the cost of 8 shirts
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
Help please... thx if you do
Answer:
C.
Step-by-step explanation:
y≥-3
{y:y=-3,-2,-1....}
y<0
{y:y=...-3,-2,-1}
When we see the above inequalities they both start from zero and then go toward the negative numbers.
Hope this helps ;)❤❤❤
Let me know if there is an error in my answer!
please i need this answer in two minutes
1. Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20 an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah’s annual gross income and annual net income.
Answer: $55,489.20
Step-by-step explanation:
Given the following information :
Base salary = $10.20 per hour
Overtime pay = $10.20 * 1.5 = $15.3
Average sale per hour = $60
Tips = 20% of sale
Regular shift hour = 8hours
Work week:
3 10-hour shift = 24hrs regular (6 hrs overtime)
1 11 - hour shift = 8hrs regular (3 hrs overtime)
1 5 - hour shift = 5 hours
Total hours per week = 37hrs regular, 9hrs overtime
WEEKLY :
Income from tips = $60 * 46 * 0.2 = $552
Regular pay: 37 * 10.20 = $377.40
Overtime: 9 * $15.30 = $137.70
Total = $(137.70 + 377.40 + 552) = $1067.10
Number of weeks in a year = 52
Annual gross = $1067.10 * 52 = $55,489.20
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
What is the length of segment AB?
12
10-B
8-
6
А
2-
0
0
-10-8-6-4
- 2
2
4
6
8 10
--2-
<
05
06
O8
10
ous Question
Answer:
[tex]AB = 10 units[/tex]
Step-by-step explanation:
The line of segment AB can be calculated using distance formula, [tex] d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex] , to calculate the distance between point A(6, 2) and point B(0, 10).
A(6, 2) can be (x1, y1),
B(0, 10) can be (x2, y2)
[tex] d = \sqrt{(0 - 6)^2 + (10 - 2)^2} [/tex]
[tex] d = \sqrt{(-6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Jeffrey is 5 years older than his brother. If j represents Jeffrey's age, the expression j−5 can be used to find his brother's age. If Jeffrey is 23, how old is his brother
Answer:
18
Step-by-step explanation:
j represents Jeffrey's age
j - 5 represents brother
Jeffrey is 23 so j = 23
j-5 = 23-5 =18 = brother
Answer:
J=23
Then J-5= his brother
substitute and u will find j-5=23-5
=18 so his brother age is 18 years old
Step-by-step explanation:
Surface Area of Triangular Prism
Instructions: Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
PLEASE HELP ME!!!
===================================================
Explanation:
Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.
The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.
The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207
Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.
Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6
Answer:
2
Step-by-step explanation:
|a+x|/2-|a-x|/2
Plug in the values.
|-2+-6|/2-|-2- -6|/2
Evaluate.
|-8|/2-|4|/2
Apply rule : |-a| = a
8/2 - 4/2
4 - 2
Subtract.
= 2
Ahmad spent $27 on fruit at the grocery store. He spent a total of $45 at the store. What percentage of the total did he spend on fruit?
Answer:
60%Step-by-step explanation:
[tex]\frac{27}{45} \times 100/1\\= \frac{2700}{45}\\ \\=60\%[/tex]
Answer:
60 %
Step-by-step explanation:
To find the percentage spent on fruit, take the amount spent on fruit over the total amount
27/45
.6
Change to a percent by multiplying by 100
60%
3-(x-3)=25 solve the equation
Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
PLEASE HELP ME with this question! I really need help...
Answer:
One of the other perpendicular bisectors must pass through point B
Step-by-step explanation:
Let's look at the choices:
— incenter equidistant from B and C.
The incenter is on the perpendicular bisector of BC. Every point on that line is equidistant from B and C. This statement is True.
__
— angles B and C are congruent.
As we said above, A (on the perpendicular bisector of BC) is equidistant from B and C. That makes the triangle isosceles. The congruent angles are B and C, opposite congruent sides AC and AB. This statement is True.
__
— the perpendicular bisector of BC passes through the incenter.
The incenter is the point of concurrence of the angle bisectors. Since the perpendicular bisector of BC goes through the a.pex of triangle ABC at A, it is the angle bisector there. Hence the incenter lies on that line. The statement is True.
__
— B lies on one of the other perpendicular bisectors.
This will be true if the triangle is equilateral. Nothing in the problem statement indicates this is the case. The statement is False.