Answer:
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
Step-by-step explanation:
-6:
father's age = 6x
sons age = x
Present age =
fathers= 6x+6
sons = x+6
+4 yrs:
father's age = 6x+6 +4 = 6x + 10
sons age = x+6 + 4 = x+ 10
3(6x +10) = 8( x + 10 )
18x+30 = 8x+80
18x-8x = 80-30
10x = 50
x= 50/10 = 5
~~~~~~~~~~
Present age =
fathers= 6x+6 = 36
sons = x+6 = 11
I hope im right!!!
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
Which of the following is equivalent to the complex number i24?
Answer: 1
Step-by-step explanation:
Rewrite as (i^4)^6
Rewrite i^4 as 1
Rewrite i^4 as (i^2) ^2
((i^2)) ^2)6
Rewrite i^2 as -1
((-1) ^2) 6
Raise -1 to the power of 2
1^6
One to any power is 1.
the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?
Answer:
y=x-1
Step-by-step explanation:
need help geometry question central angles and arcs?
Answer:
135
Step-by-step explanation:
360-90=270
270/2=135
what is the range of h
Answer:
-4 to 6
Step-by-step explanation:
The range is the y-axis, unlike the domain which is on the x-axis. So th points would go from -4, the lowest point, to 6 the highest point. If you need to specify, say intervals of 2 as -4 goes to -2, and 2 goes to 4.
The botanist would like to estimate the average weight of mustard seeds grown in a certain type of soil; weight of the seeds is known to follow a normal distribution. The botanist collects a random sample of 10 mustard seeds and finds that the sample average and sample standard deviation are 528 mg and 49 mg respectively. Select from the following the correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data.
a. (480.1, 539.9)
b. (525.2, 534.8)
c. (479.4, 540.6)
d. (473.6, 546.4)
e. The necessary assumptions have not been satisfied and the calculation cannot be performed.
f. (469.4, 550.6)
Answer:
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.833
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.833\frac{49}{\sqrt{10}} = 28.4[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 528 - 28.4 = 499.6 mg
The upper end of the interval is the sample mean added to M. So it is 528 + 28.4 = 556.4 mg
The correct 90% confidence interval for the true average weight of mustard seeds grown in Soil Type A using the above sample data is (499.6, 556.4).
which set of points lie on the given graph?
• (-3, 9), (-1, 5), (3, 3)
• (3, 9), (1, -5), (3, 3)
• (3, 9), (-1, 5), (3, 3)
• (-3, 9), (-1, 5), (3, -3)
Write the percent as a decimal.
0.23
%
0.23
%equals
work out m and c for the line y= x+4
Answer:
M = 1, C = 4
Step-by-step explanation:
Just take note that all linear equation have the form Y = Mx + C.
Here you can read directly from the equation given.
The price of an item has been reduced by 35%. The original price was $25.
Step-by-step explanation:
what thanks for free points btw
Answer:
not sure ans sorry if its wrong but i think its 8.75
Which expression is equal to 48 + 72?
A
24(2 + 3)
B
8(6 + 12)
с
3(14 + 24)
D
2(24 + 38)
Answer:
A
Step-by-step explanation:
I did the math and i have no doubt
Please solve this :)
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Answer:
49
Step-by-step explanation:
[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]
[P.E.D.M.A.S rule] (First exponents)
= 36 - 25 + 49 - 11. (Then addition)
= 36 + 49 - 25 - 11
= 85 - 36. (At last subtraction)
= 49 (Ans)
In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?
Answer:
278 votes
Step-by-step explanation:
[tex]2/3 * 417 = 278[/tex]
Y=3/4x-2 for slope plz heeeeeeeeeeeeeeeeeelp
Answer:
m = 3/4
Step-by-step explanation:
That's the correct answer for you :)
What is the minimum value points of z=30x+40y subject of x+y<=140 x>=45 y>=32 20x+10y>=1500
9514 1404 393
Answer:
minimum z: 3050
Step-by-step explanation:
The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).
The minimum value of z is ...
30·59 +40·32 = 3050
simply the ratio of 650ml to 2litre
Answer:
13: 40
Step-by-step explanation:
as 650 ml is given
so 2l = 2000 ml
ratio = 650 / 2000
13/40
13:40
WHOEVER GET'S THIS QUESTION RIGHT I WILL GIVE A BRAINLIEST
The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (Figure not to scale)
A)
12 1 / 2 cm^3
B)
45 cm^3
C)
67 1 / 2 cm^3
D)
85 cm^3
Answer:
c. 67.5 cm^3
Step-by-step explanation:
V=whl
v=5*3*4.5
v=15*4.5
v=67.5 c^3
So C would be correct
Hope i helped, Brainliest would be appreciated!
Have a nice day!
-Aadi x
Which of these is something you can pay for with the money in a savings account?
These triangles
are congruent by
the triangle
congruence
postulate [? ]
The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
These triangles are congruent.
Now, In both triangle shown in figure have;
⇒ One side is common. (Diagonal)
⇒ Two sides are equal. (Given)
⇒ One pair of angle in both triangle are equal.
Hence, We get;
⇒ By SAS congruent theorem both triangles shown in figure are congruent.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
8. Which situation is best modeled by an exponential function?
A The number of mold spores on a loaf of bread, if the amount of mold is quadrupling every 5 days.
B. The amount of tip a person will leave if he or she tips 20% of a food bill.
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
D. The cost to purchase salmon that costs $8.99 per pound.
If answered soon i will give brainliest
Answer:
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
Step-by-step explanation:
The exponential function would represent a mathematical function in the form of f(x) = a^x
where
x denotes the variable
a denotes the constant
So according to the given options, the option C would represent the exponential function
Hence, the option c is correct
A closed rectangle box with a volume of 16 3 ft is made from two kinds of materials. The top and bottom are made of material costing 10 cents/ 2 ft and the sides from material costing 5 cents/ 2 ft . Find the dimensions of the box so that the cost of the materials is minimized. [Hint: The cost of each side is equal to the area of the side times its unit price]
Answer:
The dimensions of the box are;
2 feet, by 2 feet, by 4 feet
Step-by-step explanation:
The given parameters are;
The volume of the closed box = 16 ft³
The material with which the top is made = The material with which the bottom is made
The cost of the material with which the top and bottom is made = 10 cents/(ft.²)
The cost of the material with which the side is made = 5 cents/(ft.²)
Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;
x·y·z = 16...(1)
The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z
∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)
From equation (1)
z = 16/(x·y)
Therefore, we have;
20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)
20·x·y + 160/(y) + 160/(x)
Differentiating, we get;
f'(x) = 20·y - 160/x²
f'(y) = 20·x - 160/y²
20·y - 160/x² = 0
y = 8/x²
20·x - 160/y² = 0
x = 8/y²
∴ x = 8/(8/x²)² = x⁴/8
8 = x⁴/x = x³
x = ∛8 = 2
The length, x = 2 feet
y = 8/x² = 8/2² = 2
The width, y = 2 feet
z = 16/(x·y) = 16/(2 × 2) = 4
The height of the box, z = 4 feet
Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.
Connie’s kindergarten class has 24 children. She wants them to get into 4 equal groups. How many children will she put in each group?
Answer:
six children
Step-by-step explanation:
six children in four groups, total of 24 children
24/4=6
Answer:
6
Step-by-step explanation:
because 24÷4=6 that is the answer
pls help me with this math question pls its hard i want the explanation pls
Answer:
Take the angle above 128° as x.
x = 180 - 128 (linear pair)
x = 52°
a = ?
a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )
a = 180 - 125
a = 55°
Andre is waiting for the school bus. He knows that 2 out of 6 cars in his town are white. He wants to determine the probability that at least two white cars drive by in a row. He uses a number cube as a simulation. He lets the numbers 1 and 2 represent a white car and lets all other numbers represent a car that is not white. He rolls the number cube 6 times and records the outcomes in the table below.
Trial Number Outcome
1 4, 3, 6, 1, 2, 4
2 5, 5, 1, 3, 6, 6
3 2, 5, 4, 4, 1, 3
4 6, 1, 5, 6, 6, 4
5 2, 1, 2, 6, 4, 5
6 3, 3, 1, 4, 2, 6
7 1, 5, 6, 2, 2, 3
8 3, 6, 4, 3, 4, 4
9 1, 1, 2, 1, 5, 6
10 4, 3, 3, 1, 5, 2
Based on the data, what is the probability that at least 2 white cars drive by in a row?
____%
Answer: hi
Step-by-step explanation:
Find the area of the triangle pictured above.
Answer:
24.5
Step-by-step explanation:
7^2=49
49/2=24.5
i have $2 in my pocket what might be in my pocket (number puzzle)
Answer:
$2
Step-by-step explanation:
There are 16 cans of soda. One eighth are Coke. How many Cokes
Answer:
2 cans are cokes.
Step-by-step explanation:
16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2
What is the answer?
Answer: D
Step-by-step explanation:
First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.
hope this helps :)
The arc length of this circle is 9.42 inches. Determine the length of the radius.
Complete your work in the space provided.
Answer:
Radius = 5.996958 (They probably just want “6”).
Step-by-step explanation:
9.42x4=37.68 (perimeter)
Perimeter=2[tex]\pi[/tex]r
37.68÷2[tex]\pi[/tex]=r
5.996958=r
the volume of sphere is increaseing
at the Constant rate of 10cm²lsee-
Calculate the rate of increase of
the surface area
at the Instant
When the radus is 5cm. What
is the radius of the sphere when
the surface are is increasing at 2cm
Volume of a sphere:
V = 4/3 π r ³
Differentiate V with respect to time t :
dV/dt = 4π r ² dr/dt
Surface area of a sphere:
A = 4π r ²
Differentiate A with respect to t :
dA/dt = 8π r dr/dt
You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so
10 cm³/s = 4π r ² dr/dt
Solve for dr/dt (the rate of change of the sphere's radius):
dr/dt = 5/(2π r ²) cm³/s
Substitute this into the equation for dA/dt :
dA/dt = 8π r (5/(2π r ²) cm³/s)
dA/dt = 20/r cm³/s
At the moment the radius is r = 5 cm, the surface area is increasing at a rate of
dA/dt = 20/(5 cm) cm³/s = 4 cm²/s
When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that
2 cm²/s = 20/r cm³/s
which happens when the radius is
r = 20/2 (cm³/s) / (cm²/s) = 10 cm