Dan had a large piece of wood that was 10 feet
long. He cut the wood into smaller pieces, each
measuring 1/4 foot. How many pieces of wood
dd Dan cut?
Answer:
40 pieces of wood
Step-by-step explanation:
Find how many pieces he cut by dividing 10 by 1/4
10 / (1/4)
= 40
So, Dan cut 40 pieces of wood
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Wherever necessary.
10. Refer to the table to find the monthly payments necessary to complete parts a -C.
Table of Monthly Payments per $1,000 of Principal
Rale
1 yr
2 yr
3 yr
4 yr
5 ут
10 yr
6.50%
86.30
44.55
30.65
23.71
19.57
11.35
6.75%
86.41
44.66
30.76
23.83
19.68
11.48
7.00%
86.53
44.77
a. What is the monthly payment for a
$3,200 five-year loan with an APR of
9%?
b. Mia borrows$66,000 for four years at
an APR of 7.25%. What is the monthly
payment?
C. What is the total amount of the
monthly payments for a $6,100, two-
year loan with an APR of 8.75%?
Round to the nearest dollar.
30.88
23.95
19.80
11.61
7.25%
86.64
44.89
30.99
24.06
19.92
11.74
7.50% 86.76
45.00
31.11
24.18
20.04
11.87
7.75%
86.87
45.11
31.22
24.30
20.16
12.00
8.00%
86.99
45.23
31 34
24.41
20.28
12.13
8.25%
87.10
45.34
31.45
24.53
20.40
12.27
8.50%
87.22
45.46
31.57
24.65
20.52
12 40
8.75%
87 34
45.57
31.68
24.77
20.64
12 53
9.00%
87.45
45.68
31.80
24.89
20.76
12.67
Answer: 30,000
Step-by-step explanation:
1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.
2. The monthly payment is $1,587.
3. The total amount of the monthly payments is $191.
a. From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.
Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $19.57 x (3,200 / 1,000)
= $62.624
= $63.
b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.
We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $24.06 x (66,000 / 1,000)
= $1,586.76
= $1,587.
c. From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.
We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $31.34 x (6,100 / 1,000)
= $191.234
= $191.
Learn more about Monthly Payment here:
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in the equation of y equals 2x - 4 what will be the value of y when x = 3
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
Please help I’ll give brainliest
Answer:
A) 1
B) 25
C) 0.007
D) 0.03
Step-by-step explanation:
A) 1 cm is 10mm so multiply the given number by ten to get the answer
B) 1m is 1000mm so divide the given number by one thousand to get the answer
B) 1kg is 1000g so divide the given number by one thousand to get the answer
C) One ml is 1000000 times smaller than 1kl so divide your number by 1000000 to get the answer
2. A doctor created a scatterplot to show the relationship of heart rate to
blood pressure for some of her patients. The table below is the
data that the doctor collected.
Heart
Blood
Rate
Pressure
80
140
90
155
98
160
С
110
171
Which of these BEST describes the correlation for the data?
Answer:
Step-by-step explanation:
This is film in the blank Hera ware the two options
A. Independent
B. Dependent
Answer:
A. Independent
Step-by-step explanation:
A premature infant is gaining 2.5 ounces a day. At that rate, how many days will it take for him to gain 8 ounces
Answer:
3.2 days
Step-by-step explanation:
All you have to do is divide 8 by 2.5
8 ÷ 2.5 = 3.2
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
Find the value of X and Y in the parallelogram
Answer:
[tex]Find~x:-[/tex]
[tex]4x-37=49[/tex]
[tex]4x=49+37[/tex]
[tex]x=21.5[/tex]
[tex]Find ~y:-[/tex]
[tex]y/5=4x-3[/tex]
[tex]y=5(4*21.5-3)[/tex]
[tex]y=415[/tex]
----------------------hope it helps...have a great day!!Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
what two integers are closest to sqaure root of 193
Answer:
13 and 14
Step-by-step explanation:
Method I - use calculator to find the square root
√193 = 13.892443989449805
Two closest integers
13 and 14
Method II - figure the squares closest to 193
13² = 169
14² = 196
help me please [brainliest to best answer with explanation]
which type of data is best displayed in a histogram?
-----------------
AnswerC) The daily number of movie tickets sold in January.
-----------------------hope it helps..have a great day!!please show your work
Answer:
8
Step-by-step explanation:
This can be solved using Pythagoras theorem, which is a² + b² = c², in which c is the hypotenuse (the longest side) and a and b are the two other sides. This only works for right-angled triangles, which we can see it will work for this question as there is a right angle marked by a square.
To find x, we must substitute the values in so 6² + x² = 10², which simplifies to the following:
36+x²=100.
Then we must take away 36 from both sides, leaving x²=64. To find x, find the square root of both sides, leaving x=8
I hope this helps! ;)
If Ali is x years old, write Omar’s age in terms of x if omar is 6 years younger
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Ali's age = x
Given that, Omar is 6 years younger than Ali
So, Omar's age = [tex]\large\bold{x - 6}[/tex]
✐ Omar's age in terms of 'x' is x - 6 years.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Help me plzzz please please pleaee
If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?
Answer:
x = 15
Step-by-step explanation:
[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]
[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]
[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]
x = 15
Pls help I will give crown
Answer: 33
Step by Step Explanation:
78% sure
The solution to the equation −2(x+11)=−8 is x=
Answer:
-7
Step-by-step explanation:
-2x-22=-8
-2x=-8+22
-2x=14
X=14/-2
X=-7
CAN ANYONE PLEASE HELP ME !!
Answer:
The answer is 9.
Step-by-step explanation:
find the LCM and HCF of 540 and 792.
If you want to include closing costs of 5% with your down payment, how much additional money must you save per month?
Answer:
125.00
Step-by-step explanation:
4. Becca wants to make a giant cherry pie to try to break the world record. If she succeeds in making a pie with a 20 foot diameter, what will be the total distance around the pie?
Answer:
62
Step-by-step explanation:
Please don't give me a link to the answer I can't open them.
From the graph it passes through (-4,2) and (4,-2)
Consider (-4,2) as (x1,y1)
(4,-2) as (x2,y2)
OPTION C
Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 10 cm, and the altitude is 10 cm.
Answer:
112
Step-by-step explanation:
How to factor 8x^2+4−12
Step-by-step explanation: Subtract the numbers
8x^2+4-12=8x^2-8
Anaswer: 8x^2-8
If this wasn't the right answer sorry
Answer:
8x^2+4-12=64x+4-12
64x+4-12= 4(16x-3)
hope it helps!!!!!
(Time expired.) The graph shows the system of equations below.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Which statement is supported by the graph?
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).
C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).
D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).
Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Can someone help me find the slope of line RK
Answer:
The slope is equal to (4-(-5))/(-4-(-6)) which is equal to 4.5
Answer:
the slope for line RK is
m = 2/9
Step-by-step explanation: