Answer:
Matt=26
Brown=11
Step-by-step explanation:
Just trust me!!!
The present age of Matt given the information in the question is 26.
The present age of Brown given the information in the question is 8.
What are the linear equations that represent the question?4y - 6 = x equation 1
x + y + 6 = 43 equation 2
Where:
x = Matt's agey = Brown's ageWhat is Brown's age?Subsistute for x in equation 2
4y - 6 + y + 3 = 43
Combine similar terms
5y = 40
y = 8
What is Matt's age?
Subsitute for y in equation 1
4(8) - 6 = x
32 - 6 = 26
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
During the assembly of a certain piece of exercise equipment, 3 welds are required during different phases of the assembly process. It is assumed that the welds are performed independently of one another. Due to variation in the materials used and in technique, only 97% of all welds are performed satisfactorily, with the remaining 3% being classified as defective. What percentage of all pieces of this type of equipment will have at least one defective weld
Answer:
99.9973 %
Step-by-step explanation:
This is a binomial probability distribution.
Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.
Since there are 3 welds and we require at least one being defective, our binomial probability is
P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × 0.000027 × 1 = 1 - 0.000027 = 0.999973 × 100% = 99.9973%
Solve for the following by
FACTORING:
x2 + 15x + 56 = 0
Answer:
17x + 56 = 0
Step-by-step explanation:
add 2x and 15x
Jamal's car averages 18.4 miles per gallon. How far can he expect to drive on 9.2 gallons of gas?
Answer:
169.28
Step-by-step explanation:
18.4x9.2=169.28
In the polyhedron above x=5 m and y==20 m. The volume of the polyhedron is _____ m3. Round your answer to the tenths place.
Answer:
523.6 m³
Step-by-step explanation:
The polyhedron is an oblique cone
Volume of oblique cone = ⅓πr²h
r = x = 5 m
h = y = 20 m
Volume = ⅓*π*5²*20
Volume = ⅓*π*25*20
Volume = 523.598777 ≈ 523.6 m³ (nearest tenth)
Micah is writing a function that models the height a dolphin reaches when it propels itself from underwater to the surface, leaps through the air, and reenters the water. The model is represented by the equation h=-16t+96t-128, where h is the height in feet above the surface of the water and t is the time in seconds. According to Micha's model, how long will the dolphin be above the surface of the water?
Answer:
The dolphin will be above the surface of the water for 2 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of the dolphin after t seconds is given by:
[tex]h(t) = -16t^2 + 96t - 128[/tex]
According to Micha's model, how long will the dolphin be above the surface of the water?
It stays above the surface of the water between the first and the second root. Initially, it is below water, when the first time for which [tex]h(t) = 0[/tex] it crosses the surface upwards, and then the second time for which [tex]h(t) = 0[/tex] it crosses the surface downwards.
We have to find these roots. So
[tex]h(t) = -16t^2 + 96t - 128[/tex]
[tex]-16t^2 + 96t - 128 = 0[/tex]
Multiplying by -16
[tex]t^2 - 6t + 8 = 0[/tex]
[tex]\Delta = (-6)^{2} - 4*1*8 = 36 - 32 = 4[/tex]
[tex]t_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4[/tex]
[tex]t_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2[/tex]
4 - 2 = 2
The dolphin will be above the surface of the water for 2 seconds.
GR5_Math_U14_FSQ_FY21
There are 1125 members in a mountaineering club. The club's secretary surveys 72 randomly
selected members and finds that 63 members are in favor of holding a used gear sale.
a.
Describe the population and the sample
b. What percent of the members in the ample are in favor of holding a used-gear sale?
С.
Estimate the number of club members who would be in favor of holding a used-gear sale.
Answer:
hmmm
Step-by-step explanation:
not sure man
Pls HELP!!! Answer accurately... this should be very easy,
Answer:
85
Step-by-step explanation:
He has 170 correct answers, so 170 * 0.5 = 85 points #0.5 points per 1 question
Please solve the question in the photo.
Answer:
2x^3 +7x^2+3x-2
Step-by-step explanation:
3x^3 +7x^2 -x
- ( x^3 -4x +2)
------------------------
The first step is to line up the variables by degree
3x^3 +7x^2 -x
- ( x^3 -4x +2)
----------------------------
Then distribute the minus sign
3x^3 +7x^2 -x
- x^3 +4x -2
----------------------------
2x^3 +7x^2+3x-2
Given: g(x)=−2x^2+x+3 find: g(3)
solve the system by substitution....
Answer: 2,16
Step-by-step explanation:
What is the solution set of 3x-4)=20 ?
Answer:
3x - 4 = 20
3x = 20 + 4
3x = 24
x = 24/3
x = 8
Answer:
[tex]3x - 4 = 20 \\3x = 20 + 4 \\ 3x = 24 \\ 3x \div 3 = x \\ 24 \ \div 3 = 8 \\ x = 8 [/tex]
Drag each tile to the table to multiply
(6x – y)(2x – y + 2).
fill the table
2x -y 2
6x 12^2 -6xy 12x
-y -2xy y^2 -2y
Can someone help me pls
Answer:
Step-by-step explanation:
Repost with picture and I can help you
sorry I cant answer your question if all you write " is help me pls"
in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.
NOT A MULTIPLE CHOICE
1a. Write a model giving the amount E of energy t years after 1980.
1b. Use your model determine how much wind energy was generated in 1984.
1c. Determine the year when 80 gigawatt-hours of energy were generated.
9514 1404 393
Answer:
1a. E = 5×1.59^t
1b. 32 GWh
1c. 1986
Step-by-step explanation:
1a. An exponential model looks like
f(t) = a·b^t
where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.
Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...
E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.
__
1b. For t=4, we have ...
E = 5·1.59^4 ≈ 31.96 ≈ 32
About 32 GWh was generated in 1984.
__
1c. The value of t for a given value of E is ...
E/5 = 1.59^t . . . . divide by 5
log(E/5) = t·log(1.59) . . . . take logarithms
t = log(E/5)/log(1.59) . . . . divide by the coefficient of t
For E = 80, the years after 1980 are ...
t = log(80/5)/log(1.59) ≈ 5.98
About 80 GWh were generated in 1986.
5. How much should Chantal budget per month to make sure she has enough
money to pay her car expenses? Last year she had variable expenses of
$2,125.10 and fixed expenses of $4,176.43
Answer:
$525.13
Step-by-step explanation:
cost per month = total expenses / months in a year
total expenses = fixed cost + variable cost
$2,125.10 + $4,176.43 = $6,301.53
cost per month = $6,301.53/ 12 = $525.13
please help i have 2 more questions!!
Answer:
49°
Step-by-step explanation:
since its a right angle that just subtract from 90
90-41= 49
Answer:
49
Step-by-step explanation:
Because of the square at O, we know that angle XOZ is a right angle and is 90°.
Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.
x = 90 - 41
x = 49
Find the area of the regular polygon
Answer:
!
Step-by-step explanation:
here it is!!!!!!!!!!!!!!!
I cant figure out what -2⅘÷(-7) IS
Ezekiel has a $35 budget for school supplies, and he's already spent half of it on notebooks
and binders. Now he needs some pens. If pens only come in packs of 12 and they cost $5
per pack, what's the maximum number of pens he can afford with the rest of his budget?
A) 42 pens
B) 36 pens
C) 3 pens
D) 3.5 pens
Answer:
B
Step-by-step explanation:
let's list everything out.
$35 for school supplies
$17.5 has already been used
$17.5 is left
pens only come in packs of 12
one pack of pens is $5
ok, so we know its definitely not C or D because they are less than 12
42 is not divisible by 12
since packs only come in 12's then it must be B.
good luck my friend!
Someone please help I need this ASAP
Answer:
Composite area is 400+157=557
or 400 + 50pi
Step-by-step explanation:
First find the area of the square
A=s*s A= 20*20
Area of the square portion is 400
then find the area of the semicircle- we know the diameter of the circle is 20, so the radius is 10.
[tex]A=\frac{1}{2} \pi r^{2}[/tex]
so
[tex]A=\frac{1}{2} \pi 10^{2} \\A=\frac{1}{2}\pi 100\\A=50\pi \\A= 157[/tex]
Composite area is 400+157=557
or 400 + 50pi
What is the solution set of 6x2 - 24 = 0?
a. {2}
b. {-2)
c. {-2, 2}
Answer:
c.{-2,2}
Step-by-step explanation:
6
x
2
−
24
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
6
,
b
=
0
, and
c
=
−
24
into the quadratic formula and solve for
x
.
0
±
√
0
2
−
4
⋅
(
6
⋅
−
24
)
2
⋅
6
Simplify.
x
=
±
2
The final answer is the combination of both solutions.
x
=
2
,
−
2
In a study of speed dating, male subjects were asked to rate the attractiveness of their female dates, and a sample of the results is listed below (1 = not attractive; 10 = extremely attractive). Construct a confidence interval using a 95% confidence level. What do the results tell about the mean attractiveness ratings of the population of all adult females? 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9 What is the confidence interval for the population mean μ? <μ
Answer:
Confidence Interval = ( 5.6 < μ < 8.2 )
The interval shows that the mean attractiveness is Above average on a scale of 1 to 10
Step-by-step explanation:
Data Given : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9
a) construct a confidence interval at a 95% confidence level
confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )
n = 12
μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12 ≈ 6.92
std ( s ) = √ 1/11 *∑( xi- X )^2
= √ 1/11 * ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2
= √ 1/11 * 46.92 = 2.07
tcritical at ∝ 0.05 , df = 11 = 2.20
Back to equation 1
6.92 ± 2.2 ( 2.07 / √ 12 )
( 6.92 ± 1.31 )
Confidence Interval = ( 5.6 < μ < 8.2 )
Arrange in ascending order. 0.06,0.03,1,0.76,0.2
Answer:
0.03, 0.06, 0.2, 0.76, 1
Step-by-step explanation:
use factoring to solve quadratic equation. Check by substitution or by a graphing utility.
4x^2=19x+30
19 fand g are functions such that
12
(c)
and g(x)=3(2x + 1)
(a) Find g(5)
(b) Find gf(9)
Answer:
=3(2(5)+1
=3×10+1
=30+1
=31
Answer:
(a) 33
(b) 27
(c) 1/2
Step-by-step explanation:
(a)
g(x) = 3(2x + 1)
g(5) = 3(2 * 5 + 1)
g(5) = 3(10 + 1)
g(5) = 3(11)
g(5) = 33
(b)
[tex] f(x) = \dfrac{12}{\sqrt{x}} [/tex]
[tex] f(9) = \dfrac{12}{\sqrt{9}} [/tex]
[tex] f(9) = \dfrac{12}{3} [/tex]
[tex] f(9) = 4 [/tex]
g(f(9)) = g(4) = 3(2(4) + 1)
g(f(9)) = 3(9)
g(f(9)) = 27
(c)
[tex] g(x) = 3(2x + 1) [/tex]
[tex] y = 3(2x + 1) [/tex]
[tex] x = 3(2y + 1) [/tex]
[tex] 2y + 1 = \dfrac{x}{3} [/tex]
[tex] 2y = \dfrac{x}{3} - 1 [/tex]
[tex] y = \dfrac{x}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(x) = \dfrac{x}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = \dfrac{6}{6} - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = 1 - \dfrac{1}{2} [/tex]
[tex] g^{-1}(6) = \dfrac{1}{2} [/tex]
HELP With this question
Answer:
Step-by-step explanation:
sin 60=CB/18
[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]
So these three sides form a right triangle?
7, 24, 25
Please Answer!!
What is the slope of y=7x+2
Answer: m = 7
Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept.
Now looking at this equation, we can see that m or the slope of the line is 7.
Solve the following:
FOR GOD SAKE NO BOTS NO TROLLS NO PEOPLE WANTING POINTS! PLEASE I NEED HELP FOR THIS!
Answer:
i got 21/1
Step-by-step explanation:
