if (x + p) is a factor of both x^2 + 16x + 64 and 4x^2 + 37x + k, where p and k are nonzero integer constraints, what could be the value of k?
Step-by-step explanation:
x² + 16x + 64 = (x + 8)². Hence p = 8.
Since (x + 8) is a factor of 4x² + 37x + k,
4(-8)² + 37(-8) + k = 0. (by Factor Theorem)
=> 256 - 296 + k = 0
=> k - 40 = 0
=> k = 40.
The value of k is 40.
You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?
a) Yes
b) No
Answer: Yes
Step-by-step explanation: got it wrong and told me the correct answer
During a snowstorm, the snow falls at a constant rate of 2 Inches per hour. Before the storm, there were 5 inches of snow on the ground from a previous storm. The total number of inches of snow, y. can be expressed in terms of the number of hours it snowed, ... Which equation represents this situation? y=2x+2 y=2x+5 y=5x+2 y=5x+5
Answer:
y = 2x + 5
Step-by-step explanation:
y is the amount of snow, and x is the hour. Every our, there is two inches, and the whole equation, you add on 5 because that was at the start
Answer:
y=2x+5
Step-by-step explanation:
This is because the snow falls at two inches PER HOUR. This is why it has an x afte. The +5 is the additional snow the ground had before it started snowing again.
The temperature at noon is 75 degrees. The temperature drops 3 ½ degrees every half hour because a cold front starts coming through the area. What is the temperature at 4 P.M.?
Answer:
47 degrees
Step-by-step explanation:
3 1/2 x 8= 28
75-28= 47
When you graph a system of equations what are the three possible outcomes?
Answer:
i think its a beaner
Step-by-step explanation:
Please help, I really need help, will mark brainliest
ANSWER
have it right it is -4
Find the area of the triangle.
7 yd
24 yd
Answer:
A=84 square yards
Step-by-step explanation:
A=1/2bh
A=1/2(7x24)
A=1/2(168)
A=84
If h(x)= -4x-10, find h(-5).
Answer:
h= −4x−10/x
Step-by-step explanation:
math people i really need help
Step-by-step explanation:
explained in the photo
I need help with this please! I need help as soon as possible please.
Answer:
2
Step-by-step explanation:
slope: change in y/change in x
slope: 2/1 = 2
czi-txdf-gmj Aao sabhi
Answer:
hiii
Step-by-step explanation:
my name is arushi(aru)
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.
The given modeled function is R(x)=26+1.5x
where R(x) is the number of hours spent reading a book over a month
and x is the number of hours a person spends at the library over the course of a month.
Representing R(x) on the y-axis and x on the x-axis,
Puttinv x=0 to get the R(x) intercept as
R=36+1.5 x 0 = 36
So, (0,36) ia a point.
Determining other-point by putting any arbitrary value of x other than 0.
Putting x=2, to get the other point
R=36+1.5 x 10 =51
So, the other point is (10,51).
Now, joining both the points to get the graph of the given linear equation as shown in the figure.
Answer:
(0,26) (4,32)
Step-by-step explanation:
The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.
Its R intercept occurs when x=0, so
y(0)=26,
and (0,26) is the R-intercept.
To find another point, plug in another x value into the function y(x). For example, when x=4, we have
R(4)=26+1.5(4)=32.
So, (4,32) is another point on the graph of R(x).
a hotel with 75 rooms has 45 for doubles and 30 singles. singles can be booked in any room, but reservations for two or more people must be booked in double rooms. what inequalities represents this situation?
Answer:
y = 75 - x
Step-by-step explanation:
From the question, we are given variables, and then we can see that
when x = 75 then y = 0
when x = 30 then y = 45
Finding the difference, we have
slope(m) = (45 - 0) / (30 - 75)
slope(m) = 45 / -45
slope(m) = -1
Next, we use the calculated m, to find b, using the formula
y = mx + b
0 = -1 * 75 + b
0 = -75 + b
b = 75
And finally, to get the needed equation, we say that
so y = mX+c
So that
y = -1 * x + 75
y = -x + 75
or y = 75 - x
Helpppppppppppppppppppppppp
Please help
9/5= ?÷?
19/28=?÷?
1 3/5=?÷?
the “/“ sign means division, what kind of question even is this.
9/5= 9÷5
19/28=19÷28
So for the last one, we can turn it into an improper fraction which is:
8/5 = 8÷5
10(4-7) What is the value of =(4-1) ?
-10
- 6
6
10
HURYY PLEASE LIKE RN
Answer:
[tex]\huge\boxed{\sf 252\ in.\²}[/tex]
Step-by-step explanation:
TOP and BOTTOM:
Surface Area = 2 ( Length * Breadth)
SA = 2 ( 6 * 12 )
SA = 2 (72)
SA = 144 in. ²
FRONT and BACK:
SA = 2 ( Length * Breadth)
SA = 2 ( 3*12 )
SA = 2 (36)
SA = 72 in.²
SIDES:
SA = 2 ( Length * Breadth )
SA = 2 ( 3 * 6 )
SA = 2 (18)
SA = 36 in.²
Adding all to get the SA of rectangular prism:
= 144 + 72 + 36
= 252 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807i need help asap if you can answer more questions for me text me
Answer:
x=14
Step-by-step explanation:
Brianlist please Let me know if you need an explaination!
Answer:
The answer is 14
Step-by-step explanation:
4(2x-5)+3=5(x+5)
(distribute)
8x-20+3=5x+25
(combine like terms)
8x-20+3=5x+25
-5x. -5x
_____________
3x-20+3=25
3x-17=25
+17 +17
____________
3x=42
_______
3
x=14
Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125. θ = 85.87° θ = 82.65° θ = 29.77° θ = 16.26°
Answer:
C - 29.77
Step-by-step explanation:
Edge 2020
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of two vectors is written as,
[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]
Substituting the values,
125 = 16 · 9 × Cos(θ)
0.868 = Cos(θ)
θ = 29.766°
Hence, the angle θ between vectors r and s is 29.766°.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
Help a birb. Get a crown.
Answer:
6.
in 24/4=6,
24 is the dividend
4 is the divisor
6 is the quotient
in 4*6 = 24,
4 and 6 are the factors
24 is the product
7. division is an operation on two numbers to find the quotient
8. fact family is a group of related facts using the same numbers
9. multiplication is an operation on two numbers to find the product
Answer:
6. 24/4 = 6
7.24
8.4
9.6
4 * 6 = 24,
4 și 6 sunt factorii
24 este produsul
7. împărțirea este o operație pe două numere pentru a găsi coeficientul
8. familia de fapte este un grup de fapte conexe care utilizează aceleași numere
9. multiplicarea este o operație pe două numere pentru a găsi produsul
Step-by-step explanation:
how can 52/9 be expressed as a decimal
Answer:
5.777777778
Step-by-step explanation:
:)
WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?
Answer:
A
Step-by-step explanation:
Answer:
C or 2(cos(pi/3)+i sin (pi/3))
Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars? –$37.00 –$18.50 $18.50 $37.00
Answer:C:$18.50
Step-by-step explanation: it shows the main number so it would be c pls correct me if I'm wrong...
Answer:
c
Step-by-step explanation:
Please help me
Find the value of x.
Answer:
d: x = -8
Step-by-step explanation:
40 + 65 + x + 83 = 180 (sum of internal angles of a triangle)
x = 180 - 40 - 65 - 83
x = -8
Is it A or B or C or D
The answer is A because it makes both triangles congruent
Which of the symbol correctly relates The two numbers below 19?20
Answer:
<
Step-by-step explanation:
You pick a card at random. What is P(6)? Write
your answer as a percentage.
Help me find the radius please
Answer:
You have to state the question or have an attachment on your question so we can answer it
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
Plz answer my questions