Answer:
C.
Step-by-step explanation:
16,299.99*0.065=1059.50
how old is sherif now ? ahmed is eight years younger than sherif in seven years, the sum of their ages will be 7/10 th of 100
Answer:
32year
Step-by-step explanation:
let Ahmed be x years then sheriff will be x+8
in 7years time
sheriff will be x+8+7=x+15
Then Ahmed will be x+7
sum of their ages will be 7\10×100=70years
x+15+x+7=70
collect like terms
2x+22=70
2x=70-22
2x/2=48/2
x=24years
Sheriff=24+8
32years
What is AE?
Enter your answer in the box.
units
Answer:
AE = 18
Step-by-step explanation:
The triangles must be similar so we can use ratios
2x+4 12
-------- = ---------
x+8 10
Using cross products
(2x+4)10 = 12 (x+8)
20x +40 = 12x+96
Subtract 12x from each side
20x-12x +40 = 12x-12x +96
8x +40 = 96
Subtract 40 from each side
8x = 96-40
8x = 56
Divide by 8
x = 56/8
x = 7
AE = 2x+4 = 2(7) +4 = 14+4 = 18
The triangles shown below must be congruent.
A. True
B. False
Answer:
Step-by-step explanation:
True. They are both 30-60-90 triangles, and the side opposite the 60° angle is 5 in both. The side opposite the 30° angle is 5/√3 and the side opposite the 90° angle is 10/√3.
The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball
with half the volume for his son. What is be the diameter of the ball that Dan will buy
for his son?
A 9.4 inches
B 4.7 inches
C 3.7 inches
D 7.4 inches
Answer:
The correct answer is A. 9.4 inches.
Step-by-step explanation:
Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:
4/3 x 3.14 x X ^ 3 = 434
4.186 x X ^ 3 = 434
X ^ 3 = 434 / 4.186
X = 3√ 103.662
X = 4.7
In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).
A random number is selected from the interval [6.35, 10]. Find the probability that the number is within a distance of 0.25 from an even integer. (Answer as a decimal number, and round to 4 decimal places).
Let X be a random number selected from the interval. Then the probability density for the random variable X is
[tex]f_X(x)=\begin{cases}\dfrac1{10-6.35}=\dfrac1{3.65}\approx0.2740&\text{if }6.35\le x\le 10\\0&\text{otherwise}\end{cases}[/tex]
8 and 10 are the only even integers that fit the given criterion (6 is more than 0.25 away from 6.35), so that we're looking to compute
P(|X - 8| < 0.25) + P(|X - 10| < 0.25)
… = P(7.75 < X < 8.25) + P(9.75 < X < 10.25)
… = P(7.75 < X < 8.25) + P(9.75 < X < 10)
(since P(X > 10) = 0)
… = 0.2740 (8.25 - 7.75) + 0.2740 (10 - 9.75)
… = 0.2055
The room numbers of two adjacent classrooms are two consecutive odd numbers. If their sum is 860, find the classroom numbers
Answer:
429 & 431
Step-by-step explanation:
Consecutive numbers are numbers that come right after the other.
Let x = first room number
[tex]x+x+2=860\\2x+2=860\\2x=858\\x=429\\\\(429) + 2 = 431[/tex]
Therefore, the two room numbers are 429 and 431.
simplify
log(125) + log(625) / log(25) - log(5)
Answer:
3.39794000867
Step-by-step explanation:
first add log 125 and 625 and divide the answer by log 25 and minus the answer by 5
Answer:
The answer is 7.
Solve the following quadratic function
by utilizing the square root method.
y = 16 – x2
Answer:
The solutions are x = -4 and x = 4.
Step-by-step explanation:
Solving a quadratic equation:
We have to find x for which [tex]y = 0[/tex].
In this question:
[tex]y = 16 - x^2[/tex]
So
[tex]16 - x^2 = 0[/tex]
[tex]x^2 = 16[/tex]
[tex]x = \pm \sqrt{16}[/tex]
[tex]x = \pm 4[/tex]
The solutions are x = -4 and x = 4.
PLEASE HELP ASAP !!!! THANKS
Answer:
Its the first one
The volume of a ball, V cm", is directly proportional to the cube of its radius, r. When r = 7.5. V = 562.54 cm (a) Find the equation connecting V and r. Give the value of k, the constant, in terms of . (b) Calculate the value of V when r = 9, giving your answer in terms of .
[tex]v = k {r}^{3} [/tex]
[tex]562.54 = k \times {7.5}^{3} [/tex]
[tex]562.54 = 421.88k[/tex]
[tex]k = 562.54 \div 421.88[/tex]
[tex]k = 1.33[/tex]
since
[tex]v = k {r}^{3} [/tex]
[tex]v = 1.33 \times {9}^{3} [/tex]
[tex]v = 729 \times 1.33[/tex]
[tex]v = 969.57[/tex]
©/17
Correct
Question 1 of 17, Step 1 of 1
Write a mixed number to describe the length of the ribbon shown in the figure below.
Please enter your answer in the box below.
Inches
Answer
How to enter your answer
If your answer is a whole number, enter it in the left most box and leave the numerator and denominator boxes blank.
9514 1404 393
Answer:
3 3/8 inches
Step-by-step explanation:
If you spend a little time looking at the marks on the ruler, you see that the smallest marks divide each inch into 8 parts. The ribbon comes to the 3rd small mark* after the 3-inch mark, so the length of the ribbon is 3 3/8 inches.
_____
* Technically, it is the second small mark, as the marks are small, medium, small. It marks the end of the third space, where each space is 1/8 inch.
please help me with this on the image
Answer:
6ab
Step-by-step explanation:
Distance between two points
What is the length of the line?
Answer:
c
Step-by-step explanation:
that is the procedure above
In a certain town, 25% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?
1:3
3:1
1:4
3:4
=============================================================
Explanation:
Consider a very small town of only 4 people.
If 1 person bikes to work, then 1/4 = 0.25 = 25% of the population commutes by bicycle. We see that the remaining 4-1 = 3 people don't travel by bike.
The odds against selecting someone who uses their bike to get to work is 3:1 which is why the answer is choice B
We list the number of people we don't want first, and then the number of people we do want (those who use a bike). A colon separates the two values to form the odds ratio.
We can say "3:1" as "3 to 1". It means we're 3 times more likely to select someone we don't want vs someone we do want. The odds are against the bike person which is why the value we don't want is listed first.
In contrast, if your teacher asked "what are the odds in favor of selecting someone who commutes by bicycle?" then the answer would be 1:3. We simply swap the positions of what we set up earlier.
simplify 2√3 x 3√8
i’ll give u brainiest pls
Answer:
[tex]12 \sqrt{6} [/tex]
Step-by-step explanation:
[tex]2 \sqrt{3} \times 3 \sqrt{8} \\ (2 \times 3) \sqrt{(3 \times 8)} \\ 6 \sqrt{24} \\( 6 \times 2) \sqrt{6 } \\ 12 \sqrt{6} [/tex]
What is the value of x in the equation 8x-2y=48, when y =4
Answer:
x = 5
I hope it's helps you
Answer:
x=5 this might be helpful to you.
Which equation models the same quadratic relationship as function f? f(x) = 2x^2 - 12x + 11
A) y = 2(x + 6)^2 + 2
B) y = 2(x - 3)^2 -7
C) y = 2(x - 6)^2 + 5
D) y = 2(x + 3)^2 - 7
Answer:
im not sure but i think the answer is C) y = 2(x - 6)^2 + 5
The equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the function is,
f(x) = 2x^2 - 12x + 11
We have to find the equation models the same quadratic relationship as the given function,
⇒2x²-12x+11
Take common 2 in the complete equation,
⇒2(x²-6x+11/2)
Add and subtract 9 from the complete equation,
⇒2(x²-6x+9-9+11/2)
Rearrange the equation as,
⇒2[(x-3)²-(7/2)]
⇒2(x-3)²-7
Thus, the equation models the same quadratic relationship as function f(x) = 2x^2 - 12x + 11 will be 2(x-3)²-7.Option B is correct.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Find m/c.
A
18 in
12 in
C
B
28 in
The measurement of the radius of the end of a log is found to be 9 inches, with a possible error of 1/2 inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
Answer:
[tex]\pm 9in^2[/tex]
Step-by-step explanation:
We are given that
Radius of end of a log, r= 9 in
Error, [tex]\Delta r=\pm 1/2[/tex]in
We have to find the error in computing the area of the end of the log by using differential.
Area of end of the log, A=[tex]pi r^2[/tex]
[tex]\frac{dA}{dr}=2\pi r[/tex]
[tex]\frac{dA}{dr}=2\pi (9)=18\pi in^2[/tex]
Now,
Approximate error in area
[tex]dA=\frac{dA}{dr}(\Delta r)[/tex]
Using the values
[tex]dA=18\pi (\pm 1/2)[/tex]
[tex]\Delta A\approx dA=\pm 9in^2[/tex]
Hence, the possible propagated error in computing the area of the end of the log[tex]=\pm 9in^2[/tex]
Answer:
[tex]A = (254.34 \pm 28.26) in^2[/tex]
Step-by-step explanation:
radius, r = 9 inches
error = 0.5 inch
The area of the end is
A = 3.14 x r x r = 3.14 x 9 x 9 = 254.34 in^2
[tex]A = \pi r^2\\\\\frac{dA}{dr}=2\pi r\\dA = 2 pi r dr \\\\dA = 2 \times 3.14\times 9\times 0.5 = 28.26[/tex]
So, the area is given by
[tex]A = (254.34 \pm 28.26) in^2[/tex]
write your answer in simplest radical form
Answer:
[tex]5 \sqrt{2 } [/tex]
Step-by-step explanation:
In a 45 45 90 triangle, the hypotenuse is equal to
[tex]x \sqrt{2} [/tex]
where x is the length of a leg of the triangle
At the city museum, child admission is S5.80 and adult admission is $9.20. On Monday, twice as many adult tickets as child tickets
were sold, for a total sales of $895.40. How many child tickets were sold that day?
[tex]You can call c the number of children and a for adults; you get:5.20c+8.50a=1097.60anda=4c meaning that the number of adults was four times the children.Substituting this value of a into the first equation we get:5.2c+8.5(4c)=1097.65.2c+34c=1097.6rearranging:c=1097.639.2=28and so:a=4c=4⋅28=112[/tex]
I got: 28 children and 112 adults.
Plz show steps for this
Answer: Choice D. 3 : r=3
Step-by-step explanation:
Easiest method and probably only method given the graph without knowing exact points besides an asymptote at x=-3.
Since we know there is an asymptote at x=-3, we just solve for the denominator and find r, when x=-3.
We are setting equation equal to 0, because when the denominator is 0, the graph has an asymptote at that point.
x+r=0
-3+r=0
r=3
Answer:
r=3
Step-by-step explanation:
Can I please get help it’s urgent . Find the lateral surface area and volume of the solid object.
What is the slope of the line on the graph?
find the missing length indicated.
Answer:12
Step-by-step explanation:
Square root of 16x9=12
Answer:
Step-by-step explanation:
When the height of the rightangle is drawn to the hypotenuse, the hypotenuse is divided into two parts that when multiiplied = the square of the height.
x^2 (the height) = 16 * 9
x^2 = 144 Take the square root of both sides
sqrt(x^2) = sqrt(144)
x = 12
PAIesung
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Reading list
- Blake bought a motorcycle for $550 last year and sold it for $330 this year. What is his sale
price as a percentage of his purchase price?
Answer:
The sale price was 60% of the purchase price.
Step-by-step explanation:
Given that Blake bought a motorcycle for $ 550 last year and sold it for $ 330 this year, to determine what is his sale price as a percentage of his purchase price, the following calculation must be performed:
550 = 100
330 = X
330 x 100/550 = X
33000/550 = X
60 = X
Therefore, the sale price was 60% of the purchase price.
what shape is the 1st one? I already know the second one
the first one is a quadrilateral
Step-by-step explanation:
a quadrilateral have four side
A runner increases his velocity from 0 m/s to 20 m/s in 2.0 s. What was his average acceleration?
Answer:
[tex]a = \frac{dv}{dt } = \frac{20 - 0}{2} = 10[/tex]
Hi- how do we calculate the distance from C to D? Thanks so much!
Answer:
CD=20
Step-by-step explanation:
Use the pythagorean theorem: a²+b²=c²
(20√2)²-20²=a²
400(2)-400
800-400=400
√400=20
I need help ASAP!!!!
