Answer:
ok so im so confused but like you know i tried and i got this:
X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.
(32 - x)(7 - x) = 116
(x - 32)(x - 7) = 116
x^2 - 39x + 224 = 116
x^2 - 39x + 108 = 0
(x - 3)(x - 36) = 0
x = 3, 36
But (32 - x) > 0, so x does not equal to 36.
x = 3
3 years ago, the father would be 29 years old, and the son 4 years old.
i know it sounds crazy but i think its wrong lol
If f(x) = 2x + 1 then f(3)=
Answer:
f(3)=7
Step-by-step explanation:
just plug in the number
f(3)=2×3+1
=7
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Emily is pushing a toy sand truck. She realizes it is much harder to push the truck when it is full of sand than when it is empty. What is the reason for this?
Answer:
I think it's because an object with a greater mass requires a smaller force to accelerate.
Answer:
An object with a greater mass requires a greater force to accelerate.
Step-by-step explanation:
4. An expression is shown.
4x106
2x 102
Write an equivalent expression in scientific notation.
x 10
Answer:
Step-by-step explanation:
The simplest way to do this is to break in into parts
2 * 4 = 810^6 * 10^2 = 10^8 Notice that when you multiply base 10 powers, you add the powers. That's the key to scientific notation.When you combine these two you get 8 * 10^8
If anyone could help me with this question that would be great
Answer:
5/3
Step-by-step explanation:
image/pre-image
15/9 simplified is equal to 5/3 which is the scale factor
you need to answer A and B!!! PLEASE HELP
Answer:
13x+14
Step-by-step explanation:
because the original equation would be 5x(2)+3x+7(2) simplified would be 13x+14
A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag
Answer:
0.59998
Step-by-step explanation:
Number of keys = 3
Number of coins = 7
Total = 10
Number of items taken out = 2
Expected number of keys taken out:
Let x = Number of keys taken out
X = 0
1st pick = 7/10
2nd pick = 6/9
7/10 * 6/9 = 0.46666
X = 1
(7/10 * 3/9) + (3/10 * 7/9) = 0.46666
X = 2
(3/10 * 2/9) = 0.066666
X : ____ 0 ______ 1 _______ 2
P(X): _0.46666__0.46666 _0.06666
Expected value :
(0*0.46666) + (1*0.46666) + (2*0.06666)
= 0.59998
hi hi hi hi hi help help help help
Answer:
rate
Step-by-step explanation:
r(t)=d
r=d/t
r=miles/hour=mph
r=12
Answer: I THINK it’s d
Step-by-step explanation:
HELP ME PLEASE!!! I NEED HELP!
For the whole numbers:
24
26
23
25
21
46
63
57
75
91
1. 24 and 23.8
2. 26 and 25.7
3. 23 and 22.8
4. 25 and 24.8
5. 21 and 20.9
6. 46 and 46.3
7. 64 and 63.7
8. 56 and 56.5
9. 75 and 74.6
10. 91 and 90.7
When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.
If you have any further question, please reach out to me :)
The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!
Answer:
k = 3 or k = -4
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]
Which expression is equivalent to 4a+2b
A.a+a+a+a+b+b
B. 4+2+a+b
C.6(a+b)
D.4+a x 2+b
Answer:
Answer is A
Step-by-step explanation:
a+a+a+a+b+b =4a+2b
divide 600 in the ratio 2: 3: 4
Answer:
133.33, 200, 266.66
Step-by-step explanation:
GIven data
This is a ratio problem, and we will use the part to all method to get the solution
The given ratio is
= 2: 3: 4
the total ratio
=2+3+4
=9
Hence the first part is
2/9= x/600
cross multiply
9x= 1200
x= 1200/9
x= 133.33
The second part
3/9=x/600
1/3=x/600
3x=600
x=200
The third part
4/9=x/600
4/9=x/600
9x=600*4
9x=2400
x=2400/9
x=266.66
Therefore the figures are
133.33, 200, 266.66
Write in quadratic form
f(x)=(x+2)^2
The length of the 135˚ arc below is 15/4 π. Find the radius of the circle. Please explain the answer.
Answer:
The radius of the arc is 5
Step-by-step explanation:
An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.
The formula relating how long the arc is with its radius is
length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]
where R is the radius we are looking for.
Θ = 135 which can be seen as the arc angle
[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]
The radius of the arc = 5
What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (3, -8)(3,−8)? Put your answer in fully reduced form.
Mrs.Tampo has 17 students in her class last year and this year she had 25 students in math class what is the percent of change
Answer:
32% decrease
Step-by-step explanation:
Solution:
Calculate percentage change
from V1 = 25 to V2 = 17
so:
Answer: 800/17=47% :-)
my math teacher Is helping me.
Find the area of a triangle with a base of 10 inches and a height of 5 inches
Answer:
area = 25 in^2
Step-by-step explanation:
area = 1/2(10)(5) = 25 in^2
Answer:
The height is 4 inches.For a triangle, we have Area = 1/2 base times height.
With a = area, b = base and h = height,
we have:
A=1/2bh
We are told that A=10 square inches and b=5 inches, so we need to solve (find h ) for:
10=1/2(5)h
We can get rid of the fraction by multiplying by 2 on both sides:
20=5h
Now divide noth sides by 5 (or multiply by 1/5 , to get
20/5=5h/5 so 4=h
The height is 4 inches.
Step-by-step explanation:
Hope it is helpful....
8 star fruit cost $16. How many star fruit can you buy for $8?
Answer:
you can buy 4 star fruit
Step-by-step explanation:
All it is , is subtraction half of 8 is 4 and half of 16 is 8
Is 0.3 greater than 0.09
Answer:
Yes, because 9 is in the hundreths place and 3 is in the tenths
Step-by-step explanation:
Answer:
Step-by-step explanation:
no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater
1/2x+4=20 solve for x.. Help?
Answer: 32
Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps
Answer: x=32
Step-by-step explanation:
1/2x+4=20
-4 -4
1/2x=16
Multiply by 1/2 on each side
x=32
Complete the function table.
Answer:
There is no function table
Answer:i don't see the table cos
Step-by-step explanation:
simplify the following
a) 5(3a - 45
b) 4(a + 2b - 1
Step-by-step explanation:
I hope that is useful for you :)
Latisha purchased a pair of jeans for $35. She had a 10% off coupon. How much was the discount? She had to pay 7% sales tax. What was her final price for the jeans?
Answer:
$33.95
Step-by-step explanation:
35*10%=3.5
35*7%=2.45
35-3.5=32.5
32.5+2.45=33.95
A business analyst is investigating whether the mean amount of purchases made by customers at an online department store is greater than $100. The analyst obtained a random sample of 56 orders and calculated a sample mean of $102.30 and a sample standard deviation of $5.30.
Which of the following is an appropriate test for the investigation?
Answer:
B
Step-by-step explanation:
I don't know
An appropriate test for the investigation is, One sample t-test for sample mean. So option B is correct
What is a random sample ?The process of selecting a sample of data from a population in order to draw conclusions about the population is known as random sampling. Additionally known as probability sampling. Non-probability sampling, often known as non-random sampling, is this sample's opposite. Simple random sampling, stratified sampling, cluster sampling, and multistage sampling are the main forms of this sampling. Convenience samples are often referred to as non-arbitrary samples in sampling methodologies.
Given that,
Population mean = $100
Sample = n = 56
Sample mean = $102.30
sample standard deviation = $5.30
So, all the data mean, standard deviation is given
therefore, t-test used and one type of sample used as well
Hence, It is one-sample t-test for sample mean
To know more random sample check:
https://brainly.com/question/29852583
#SPJ6
Someone plz help me giving brainliest
Answer:
13/20
Step-by-step explanation:
Add up all the hours and then subtract by the total hours given.
What is 3 x 4t when it’s simplify
3*3*3*3= 81 is an example of ___
Exponential form
Standard form
Expanded form
Slope-intercept form
Answer:
expanded I believe or the first one good luck
Plz help.............
Answer:
75 ft
Step-by-step explanation:
10 * 6 = 60
1/2 * 6 * 5 = 15
60 + 15 = 75 ft
If two angle measurements are 53° and 70,° what must the third angle measurement equal to form a triangle?
Answer:
Step-by-step explanation:
All triangles without exception, have 180 degrees.
x + 53 + 70 = 180 Add the left
x + 123 = 180 Subtract 123 from both sides.
x + 123 - 123 = 180 - `123 Combine.
x = 57
If one side of a cube has
an area of 25 inches
squared, what is the
volume of this cube?
A=6a2
V=a3
Solving forV
V=6A3/2
36=6·253/2
36≈8.50517
v is approx. 8.51
hope it helps =) ♥