Answer:
y = 60°
x = 12
Step-by-step explanation:
opposite angles of a parallelogram are equal
opposite sides of a parallelogram are equal
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
b) Simplify (4ab^2)^3
Answer:
[tex]64a^{3} b^{6}[/tex]
Step-by-step explanation:
[tex](4ab^2)^3[/tex]
=> [tex]4^{3} a^{3} b^{6}[/tex]
=> [tex](4 \times 4 \times 4) a^{3} b^{6}[/tex]
=> [tex]64a^{3} b^{6}[/tex]
how do you solve these problems?
a. (2/7)x + 5= -21 and
b. 1/2(18x-2)=0
Multiply (5 + 4i)(3+ 2i)
Answer:
45
Step-by-step explanation:
Answer:
7 + 22i
Step-by-step explanation:
hope this helps
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
What is the mean of the data set 14, 12, 23, 15?
Answer:
16
Step-by-step explanation:
(14+12+23+15)÷4=16
Answer:
16
Step-by-step explanation:
Hope this help
Please Help ASAP
1. Andrew and Griffin both worked hard over the weekend. Together they earned a total of $65. Griffin earned $15 more than Andrew.
(a) Write a system of equations for the situation. Use a for the amount Andrew earned and g for the amount Griffin earned.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each person earned. (You must solve by graphing, other solving methods will not earn credit)
Answer:
2x-15=65
Step-by-step explanation:
You have to subtract 15 dollars from 65 because it is extra money that Griffin had earned. Now you are left with 40 so now you would divided 2 since its both Griffin and Andrew. At the end, Griffin earned 35 dollars and Andrew earned 20 dollars.
The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop
Answer:
The table shows locations on a map.
Place
parkfarmers marketpost officebus stopLocation
(-2,2)(-2,3)(2, 2)(6,-3)Which places on the map are 4 units apart?
O the park and the farmer's market
O the farmers market and the bus stop
✓ the post office and the park
O the post office and the bus stop
Step-by-step explanation:
Distance :---
[tex]→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}[/tex]
1. True or false: A function is a rule that assigns each input exactly one
output.
True
False
Photo attached please help
Answer:
Wow your on apec to?
Step-by-step explanation:
Wait could you show the whole question and the other answers please. I was going to say C.
I noticed a few others answers missing so I can't properly answer your question.
3. Solve for x.
3r + 11
9x-14
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
PLEASE HELP IM BEGGING PLEASE!!!!!!!!!!
Answer:
1. C.
2. B.
Step-by-step explanation:
Hope This Helps!!! : )
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
Solve the system of equations –2 + y = 14 and -5x – 7y=10 by combining the
equations.
Submit Answer
attempt out of 2
o
PLEASE ANSWER!!
Answer:
Step-by-step explanation:
-2+y=14
-5x-7y=10
y=14+2
y=16
-5x-7(16)=10
-5x-112=10
+112 +112
-5x=122
x=-24.4
a. If a spinner is spun twice, are the events
independent or not independent? Justify
your answer.
2
2 1/2 divided by 3 4/6=?
Please help me.
Answer:
15/22
Step-by-step explanation:
there is a college student who wants to buy apples from the local store. the store generally sells about 5 apples for every 2 customers they serve. About how many apples will they sell in 6 hours if they serve 10 customers every hour?
40 over 100 Simplify the fraction below (14 points)
Answer:
0.4
Step-by-step explanation:
40 divided by 100= 0.4
please help me
is importe
Answer:
11/24
Step-by-step explanation:
change it to :
20/24-9/24
then solve
Answer:
11/24
Step-by-step explanation:
10/12 - 3/8
10/12 + -3/8
5/6 + -3/8
20/24 + -9/24
20 + -9 / 24
= 11/24
Please help me on this question 30 points on the line
Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x
Answer:
dont know
Step-by-step explanation:
a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?
Answer:
The cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
Step-by-step explanation:
We are given that
Diameter of cylinderical water tank, d=4 m
Radius of cylinderical water tank,r=d/2=4/2=2 m
Height of cylinderical water tank,h=3 m
Length of rectangular prism, l=7 m
Width of rectangular prism ,w=2 m
Height of rectangular prism, h=2m
Volume of cylinder=[tex]\pi r^2 h[/tex]
Where [tex]\pi=3.14[/tex]
Using the formula
Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]
Volume of rectangular prism=[tex]lwh[/tex]
Using the formula
Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]
Difference between volumes=37.7-28=9.7 cubic meters
Hence, the cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
Neuroinvasive West Nile virus is a severe disease that affects a person's nervous system. It is spread by the Culex species of mosquito. In a particular region in 2010 there were 629 cases of neuroinvasive West Nile virus out of a total 1,021 cases in a sample, and there were 486 neuroinvasive cases out of a total of 712 cases in a sample in 2011. Is the 2011 proportion of neuroinvasive West Nile virus cases more than the 2010 proportion of neuroinvasive West Nile virus cases
Answer:
Yes, the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Step-by-step explanation:
2010 proportion:
629 cases out of 1021. So the proportion is:
[tex]p = \frac{629}{1021} = 0.616[/tex]
2011 proportion:
486 cases out of 712. So the proportion is:
[tex]p = \frac{486}{712} = 0.683[/tex]
0.683 > 0.616 so the 2011 proportion of neuroinvasive West Nile virus cases is more than the 2010 proportion of neuroinvasive West Nile virus cases.
Answer:
for ppl with edge its c
Step-by-step explanation:
edge 2022
Find the value of each angle mentioned above.
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 3.1 5.5 3.4 6.1 4.9
The following is the amount ($000) earned by a sample of 12 Klein models.
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 5.1 4.7
Required:
a. Find the degrees of freedom for unequal variance test.
b. State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK.
c. Compute the value of the test statistic.
d. Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.
Answer:
24 ; Tstat > Tcritical ; 0.052 ; Fail to eject the Null
Step-by-step explanation:
Claiborne model:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 $3.1 $5.5 $3.4 $6.1 $4.9
Sample size, n1 = 15
Using calculator :
Mean, m1 = 4.4
Standard deviation, s1 = 1.056
Klein model:
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 $5.1 $4.7
Sample size, n = 12
Mean, m2 = 4.38
Standard deviation (s) = 0.923
To obtain the degree of freedom for unequal variances test, use the Relation :
Degree of freedom (DF) = (s1²/n1 + s2²/n2)² / { [ (s1² / n1)² / (n1 - 1) ] + [ (s2² / n2)² / (n2 - 1) ] }
(1.056^2/15 + 0.923^2/12)^2 / {[(1.056^2/15)^2 / (15 - 1)] + [(0.923^2/12)^2 / (12 - 1)]}
0.0211226 / (0.0003947 + 0.0004581)
= 24.768527
df = 24 rounded down to the nearest whole number.
Decision region :
α = 1-0.95 = 0.05
Tdf, 0.05 = 1.711
Tcritical = 1.711
Reject Null, if Tstat > Tcritical
The t - test statistic :
(m1 - m2) / (s1²/n1 + s2²/n2)
(4.4 - 4.38) / sqrt(1.056^2 / 15 + 0.923^2 / 12)
0.02 / 0.3812301
= 0.0524617
= 0.052
Since, Tstat < Tcritical, we fail to reject the Null. It is not reasonable to conclude that Claiborne model earns more.
solve,,,,,,c-2= -1
please help !!!
Answer:
c=1
Step-by-step explanation:
add 2 to both sides
c-2+2=-1+2
then simplify
Can someone please tell me the answer ..
Answer:
148
Step-by-step explanation:
According to the table, if a married couple filing jointly earns $67,400, what will their taxes be to the nearest dollar?
A): $10,470
B): $10,590
C): $11,150
D): $11,320
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Dont worry about what I type hear the answer is C
Simplify (3^5)^2/3^-2
Answer:
the answer would be 531441
Step-by-step explanation:
Answer:
531441
Step-by-step explanation: