Answer:
x = 8
Step-by-step explanation:
8x + 9 = 41 + 4x
4x = 32
x = 8
Solve for x. Sin x =3/8
Answer:
<x=22.02431284 degrees
Step-by-step explanation:
sin(x)=3/8
sin^-1(3/8)=<x
<x=22.02431284 degrees
If logarithm of 5832 be 6, Find thw base?
Answer:
3sqrt(2) ................
Find the perimeter of the polygon.
13. Which fraction is halfway between 3/5 and
5/7?
Answer:
18/35....
....
YESTERDAY
Need help with this if possible
Answer:
hope it helps...
Step-by-step explanation:
If f(x)=3x^2+2x=1 find f(x+2)
Answer:
f(x+2) = 3(x+2)^2 + 2(x+2) + 1
Step-by-step explanation:
Replace x with x+2 and you get the solution above. Hope this helps!
What is the intermediate step in the form (x+a)^2 = b as a result of x^2-16x= -68
Answer:
The intermediate step is determining what a is, knowing also that (x+a)²=x²+(2a)x+a².
Also, x²-16x= -68 (in the form (x+a)²=b) is (x-8)²=-4
Step-by-step explanation:
x²-16x=-68
x²-16x+68=0
I suppose the intermediate step is finding (x+a)².
Remember that (x+a)²=x²+(2a)x+a², so 'a' will be half the coefficient of x (number beside x, not x²). The coefficient of x here is -16, so a is -8.
(x-8)²=x²-16x+64
So, if we can create 'x²-16x+64' out of 'x²-16x+68', we'll be on our way:
x²-16x+68=0
(x²-16x+64)+4=0
(x-8)²+4=0
(x-8)²=-4
Each day, the number of births in the world is 92 thousand less than three times the number of deaths. If the
population increase in a single day is 214 thousand, determine the number deaths per day.
Answer:
two points in the xy plane has cartesian coordinate (2,-4) and (-3,3) where the units are in m determine.
a) the distance between these points and
b) their polar coordinates.
I'm. not the best at finding angles sadly
Answer:
obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse
Help ASAP!!!!!! Plzzzzzz
Answer:
2nd option
Step-by-step explanation:
11. Albert has 12 more 10 cent coins than 20-cent
coins. The total value of all his coins is $5.40. Find
the total number of coins he has.
Step-by-step explanation:
Let x be the number of 10 cent coins
Let y be the number of 20 cent coins
given
[tex]x = y + 12 \\ x - y = 12[/tex]
as equation 1
and
[tex]0.1x + 0.2y = 5.4[/tex]
as equation 2.
Now we will use elimination method to solve simultaneous equations.
Now we multiply equation 1 by 0.2 to eliminate y and solve for x first.
[tex]0.2 \times x - 0.2 \times y = 12 \times 0.2 \\ 0.2x - 0.2y = 2.4[/tex]
Let this new equation be equation 3.
Now use equation 2 + equation 3.
[tex]0.1x + 0.2x + (0.2y + ( - 0.2y)) = 5.4 + 2.4 \\ 0.3x = 7.8 \\ x = 7.8 \div 0.3 \\ = 26[/tex]
Substitute x into equation 1,
[tex]x = y + 12 \\ y + 12 = x \\ y = x - 12 \\ = 26 - 12 \\ = 14[/tex]
Therefore total number of coins = x + y = 26 + 14 = 40
Answer:
in total he has 62 cents
Step-by-step explanation:
I hope it's the correct answer if I'm wrong tell me right away.
so, this is in math and, I NEED HELP!!!!!. could you first multiply the width by the height? Explain.
Answer:
Explain what?? May I ask
Two planes, which are 2920 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 4 hours, what is the speed of each?
9514 1404 393
Answer:
405 mph; 325 mph
Step-by-step explanation:
The total of their speeds is ...
2920 mi/(4 h) = 730 mi/h
If s represents the speed of the slower plane, then we have ...
s + (s+80) = 730
2s = 650 . . . . . . . subtract 80
s = 325 . . . . . . . divide by 2
s+80 = 405 . . . find the faster speed
The speeds of the planes are 405 mi/h and 325 mi/h.
Taiga’s teacher asked him to draw a polygon with vertices (–4, –5), (–5, 2), (–5, 3), (–4, 5), (2, 3), and (–3, 0) and to identify the polygon. Taiga drew the polygon below and identified it as a heptagon.
Which explains whether Taiga is correct?
Taiga is correct because the polygon has six sides.
Taiga is correct because the sides have different lengths.
Taiga is not correct because the polygon is a hexagon.
Taiga is not correct because he drew the polygon incorrectly.
1/7+7/12+something =1
helpp will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2
4.2.6. A newly formed life insurance company has under- written term policies on 120 women between the ages of forty and forty-four. Suppose that each woman has a 1/150 probability of dying during the next calendar year, and that each death requires the company to pay out $50,000 in benefits. Approximate the probability that the company will have to pay at least $150,000 in benefits next year.
Answer:
0.047
Step-by-step explanation:
The computation of the probability is shown below:
P(dying) = 1 ÷ 150
So,
P(living) = 149 ÷ 150
As There are 120 women.
Now
P(x>=3) = 1 - [P(x=0) + P(x=1) + P(x=2)]
= 1 -[(120 = 0)((1 ÷ 150)^0)((149 ÷ 150)^120) + (120 = 1)((1 ÷ 150)^1)((149 ÷ 150)^119) + (120 = 2)((1 ÷ 150)^2)((149 ÷150)^118)]
P(x>=3)
=0.047
The Alpha company takes a survey of the age for all employees. The average age is 35 with a standard deviation of 3.2 years. The results form a normal distribution curve. If the company has 985 workers, how many are over 44 years old? (Round your answer to the nearest whole person)
Answer:
I would say to look on alpha calculator to get any help if anyone dosent answer this!!
Step-by-step explanation:
I need help please. I don’t know if I’m right.
9514 1404 393
Answer:
C. 13 — your choice is correct
Step-by-step explanation:
The part of A that is outside of B is the region identified as I. It has a population of 13, as you have marked.
AB' = 13
One angle of a triangle measures 110°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?
Answer: 30 & 40
Step-by-step explanation:
- Mr. Sanders wants to display his American flag in a triangular case as shown below. 18.5 in What is the area of the triangular case? A 60.5625 square inches B 61.2 square inches C 122-4 square inches D 11.45 square inches ON S
Answer:
The area of the triangular case = 61.2 square inches
Step-by-step explanation:
P.S - The exact question is -
Given - Mr. Sanders wants to display his American flag in a triangular case as shown below.
To find - What is the area of the triangular case ?
Proof -
Given that,
Base of triangle = [tex]14\frac{2}{5}in[/tex]
Height of triangle = 8.5 in
We know that,
Area of triangle = [tex]\frac{1}{2}*Base*Height[/tex]
= [tex]\frac{1}{2}*8.5*14\frac{2}{5}[/tex]
= [tex]\frac{1}{2}*8.5*14.4[/tex]
= [tex]\frac{1}{2}*122.4[/tex]
= 61.2
∴ we get
The area of the triangular case = 61.2 square inches
simplify
[tex] {a}^{3} - {b}^{3} [/tex]
Answer:
[tex] {a}^{3} - {b}^{3} [/tex]
[tex] = (a - b)( {a}^{2} + ab + {b}^{2} )[/tex]
Hence, simplified.
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are Normally distributed with a mean of 5.9 inches and a standard deviation of 0.8 inches.
According to the 68-95-99.7 rule, we expect 95% of head breadths to be
between blank and blank inches.
Answer:
We expect 95% of head breadths to be between 4.3 inches and 7.5 inches.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 5.9 inches, standard deviation = 0.8 inches.
We expect 95% of head breadths to be between
Within 2 standard deviations of the mean, so:
5.9 - 2*0.8 = 5.9 - 1.6 = 4.3 inches
5.9 + 2*0.8 = 5.9 + 1.6 = 7.5 inches
We expect 95% of head breadths to be between 4.3 inches and 7.5 inches.
Photo Attached
Please Help ASAP
Answer:
C
Step-by-step explanation:
A is just the opposite value of the second integral.
B is just 3 times the first.
D-you can write a sum of integrals over the same intervals as one integral of the sum of the integrands of those integrals over that same interval. The answer would be 3(8)+-2.
For choice C, we would need more information.
According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?
Answer:
Yes. The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).
Step-by-step explanation:
a) Data and Calculations:
Number of 16-year-old males involved in driver accident during year 2000 = 210
Sample number of drivers = 1,000
National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)
Random sample of 16-year-old male drivers in a Midwest city = 150
Number of them involved in driver-accidents = 25
Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%
The city's 16.7% proportion is lower than the national proportion of 21%.
pls help giving brainless. no link plss
Answer:
The distance across Africa would be measured in kilometers, and the height of a swingset would be in meters.
Step-by-step explanation:
Kilometers is larger than all of the other ones and Africa is across the ocean
A swingset isn't extremely tall but not short
What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answer:
B. y = 3x - 14
Step-by-step explanation:
Since the line is parallel, your slope will be 3. You're given a point, so you can use point-slope form to find the equation. Point-slope form is:
y - y1 = m(x - x1) where (x1, y1) is the point that they gave you and m is the slope. So:
y - (-2) = 3(x - 4) --> Start to simplify this by changing - (-2) to +2 and distributing the 3 to (x - 4).
y + 2 = 3x - 12 --> Subtract 2 from both sides.
y = 3x - 14
Find the measure of angle R ((look at pic pls help)
A- 45
B- 60
C- 90
D- 30
Answer:
B
Step-by-step explanation:
Solve for x.
7x - = 6x -
O x = 1/4
Ox=1
Ox= -1
O x = -1/4
Answer:
D. - 1/4
Step-by-step explanation:
Find the domain of the following functions?
Answer:
d. D: (-∞ , ∞) , R: (-10 , ∞)
Step-by-step explanation: