Answer:
It's the last choice: 2x^2 - 5x - 8 - 37/(x - 5).
Step-by-step explanation:
Long division:
2x^2 - 5x -8 <---------------Quotient
---------------------------------
x - 5 ) 2x^3 - 15x^2 + 17x + 3
2x^3 - 10x^2
- 5x^2 + 17x
- 5x^2 + 25x
- 8x + 3
- 8x + 40
-37 <------ Remainder.
The first thing we do in these cases is to define the variables.
We have then:
w = represent the number of acres of wheat
c = represent the number of acres of corn
We write now the inequalities based is:
"Jess will plant up to 27 acres on her farm with wheat and corn"
w + c <= 27
"More than 5 acres will be planted with wheat"
w> 5
Answer:
two inequalities that represent this situation are:
w + c <= 27
w> 5
Answer:
Step-by-step explanation:
Set 1
first of all we have to look at the negative numbers:
-99% = -0,99
-√80 = is almost 9
so :
-9,(9) ; -√80 ; -99%
then the positive numbers:
19% = 0,19
√9 = 3
1/9 = 0,11...
so
1/9 ; 19% ; √9
final answer:
-9,(9) ; -√80 ; -99% ; 1/9 ; 19%, √9
Set 2
descending order = from greatest to least
In this case we have to look at first at positive numbers
2/3 = 0,6
√23 = 4,...
20/3 = 6,...
23% = 0,23
so
20/3 ; √23 ; 2/3 ; 23%
negative numbers
-√34 = -5,...
so :
-4,(3) ; -√34
final answer:
20/3 ; √23 ; 2/3 ; 23% ; -4,(3) ; -√34
Answer:
p value = 0.039
t = - 2.169
Step-by-step explanation:
Applying the null and alternate hypothesis
using excel worksheet to calculate for ( t and p )
t = -2.169
p = 0.039
from the results obtained
The conclusion is affected by the significance level because : 0.1 < p > 0.01
so when the significance level is = 0.1 the Null hypothesis is rejected and we can say the mean time interval will change while
if the significance level = 0.01 the Null hypothesis is accepted and we can not say the mean time interval has changed because the p -value is greater than 0.01
attached is the excel solution
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
