Answer:According to the rule, you should be spending no more than 43 percent of your before-tax income on all your debt payments. So, if your gross income per month is $4,000, your total debt including mortgage, auto loans, credit card payments and student loans should be less than $1,720
Step-by-step explanation:
Find cosX and cosZ. Write each answer as a fraction and as a decimal. Round to four decimals places, if necessary. Fractions to reduce and use /.
Answer/Step-by-step explanation:
Recall the acronym, SOHCAHTOA.
✔️Cos X = adj/hyp (CAH)
Adj = 10
Hyp = 26
Cos X = 10/26
Simplify
Cos X = 5/13 (as a fraction)
Cos X = 0.3846 (as a decimal to 4 d.p)
✔️Cos Z = adj/hyp (CAH)
Adj = 24
Hyp = 26
Cos Z = 24/26
Cos Z = 12/13 (as a fraction)
Cos Z = 0.9231 (as a decimal to 4 d.p)
Help me out please I need you’re help with this question ✏️
the answer to your question might be (B).
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? will mark brainliest
Answer:
120 mm
Step-by-step explanation:
The Statistical Abstract of the United States reported that the average cost per day of owning an automobile in the United states is $7.62. This includes the cost of the car, general maintenance, gasoline, and insurance. A researcher claims that college students' average daily ownership expenses are less than the national average. A random sample of 54 college students who own cars found the average cost per day to be $6.78 with standard deviation $1.77. Use a 5% level of significance to test the claim that a college student's average daily ownership expenses are less than the national average. State the Null and Alternate Hypotheses, calculate the test statistic, compute the P value for this test, state the alpha value, then state your conclusion. Is there enough evidence to support the claim?
Answer:
Step-by-step explanation:
The null and the alternative can be computed as:
[tex]H_o : \mu = 7.62[/tex]
[tex]H_1 : \mu < 7.62[/tex]
[tex]Claim: \mu < 7.62[/tex]
[tex]\alpha= 0.05[/tex]
The critical value for a left-tailed test at [tex]\alpha= 0.05[/tex] = -1.645
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }[/tex]
[tex]Z = -3.487[/tex]
The P-value = (Z< -3.487)
The P-value = 0.00024
Decision Rule: TO reject [tex]\mathbf{H_o}[/tex] at [tex]\alpha= 0.05[/tex], if test statistics is less than the critical value (left tailed)
Conclusion: We reject [tex]\mathbf{H_o}[/tex] at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.
please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
work out yhe value of 6.105×10^8/3.7×10^3 give your answer in standard form
Pls help me pls pls pls I’ll make brainliest
Answer:
Alr what do you need help with
it cost 0.60 cents to run a fan for 4 hours how much does it cost to run the fan for 6 hours I need an answer asap
Answer:
$0.90
Step-by-step explanation:
So first you need to find the rate (showing how much money it costs to run for 1 hour) so you get 0.60 and divide it by 4 and its 0.15, then multiply 0.15 by 6 and get 0.90
Help me pls pls pls
Answer:
1.61
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.61
Which expression shows another way to write 36+16?
4(9)+4
4(9+4)
6(6+8)
(6+4)(6+4)
Answer:
36+16= 52
4(9)+4= 40, which does not equal 52.
4(9+4) = 52.
6(6+8) = 84, which does not equal 52.
(6+4)(6+4) = 100, which does not equal 52.
So, 4(9+4) is correct.
Let me know if this helps!
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 9y2
This question is incomplete, the complete question is;
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.
x² + 9y² = 9
(a) About
y = 3
(b) About
x = 3
Answer:
a) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b) the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Step-by-step explanation:
a) the volume of solid of revolution
about y=3
Using SHELL METHOD;
Volume V = 2π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) (2.3√(1-y²)) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (3-y) √(1-y²) dy
= 12π . [tex]\int\limits^1_{y=-1} \,[/tex] (( 3√(1-y²) - y(√(1-y²)) dy
= 12π[ [tex]\frac{3}{2}[/tex]π - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
b)
the volume of solid of revolution
about x=3
Using SHELL METHOD;
Volume V = [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) ([tex]2.\frac{1}{3}[/tex]√(9-x²)) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3-x) √(9-x²) dx
= [tex]\frac{4}{3}[/tex]π . [tex]\int\limits^3_{y=-3} \,[/tex] (3√9-x² -x√(9-x²) dx
= [tex]\frac{4}{3}[/tex]π [ [tex]\frac{27}{2} \pi[/tex] - 0 ]
= 18π² = 177.652879 ≈ 177.65288
Therefore, the volume of solid revolution is 18π² = 177.652879 ≈ 177.65288
Which is the slowest reading rate?
A. 3 pages in 9 minutes
B. 4 pages in 10 minutes
C. 5 pages in 13 minutes
D. 7 pages in 20 minutes
Answer:
A. 3 pages in 9 minutes
Step-by-step explanation:
3 & 9 are all the lowest out of those options.
subtract 10x^2-10x+2 from -8x^2+7x-7
Answer:
-18x^2+17x-9
Step-by-step explanation:
How do you know 31/40 is greater than 3/4, but less than 4/5
Step-by-step explanation:
So you have 31/40
3/4=30/40 (multiply by 10/10)
4/5=32/40 (multiply by 8/8)
So, there you have it, 31/40 is right in between those two.
turn it into decimal format. just do the division,. 31 divided by 40 = .775 and 3 divided by 4 = .75 and 4 divided by 5 = .8. all you have to do is the division and once it is in decimal format you can tell which is greater. hope this helps
9514 1404 393
Answer:
30/40 < 31/40 < 32/40
Step-by-step explanation:
The fractions are easiest to compare when they have a common denominator. A denominator of 40 will serve.
3/4 = 30/40
4/5 = 32/40
Then the relation between the fractions is ...
30/40 < 31/40 < 32/40
3/4 < 31/40 < 4/5 . . . . 31/40 is greater than 3/4 and less than 4/5
_____
You can also compare the numbers as decimals.
3/4 = 0.750
31/40 = 0.775 . . . . greater than 3/4
4/5 = 0.800 . . . . greater than 31/40
what is 240 x 343 x 234 x 123 x 23 - 89
An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0 < x < 4 to the average rate for the interval 4 < x < 8 What do you think will happen to the average rate of change for intervals beyond x = 8 ? Explain.
For 0<x<4, the average rate of change will be -60
For 4<x<8 the the average rate of change will be -31
And for the sentence (on savass in order is)
Stay negative, -31, decrease but at a slower rate
In this exercise we have to use the knowledge of functions to describe the average rates of each one of them, so:
For 0<x<4 will be -60
For 4<x<8 will be -31
First, we have to remember what an average rate means, like:
It is a measure of in what way or manner much the function altered for one, approximately, over that pause. It happen derived from the slope of the direct route joining the break's endpoints in contact the function's diagram.So we can say that:
[tex]0
See more about functions at brainly.com/question/5245372
Evaluate -2x^2y, if x = -3 and y=-1.
-12
18
12
-18
Answer:
Option A is your answer
Jonny had ? cakes. He eats 1/2 of
his total amount of cakes. How much
cake does he have left?
Answer:
1/2 * (?)
Step-by-step explanation:
Divide (?) Cakes in half
Answer:
How many cakess did he have? impossible to answer otherwise
Step-by-step explanation:
I need the answer to this problem please
A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches:7 miles. On the map, the distance between the start point and the end point of their trip is 15 inches. What is the actual distance?
Lamar went to a baseball game. The game started at
11;50AM, and it was 3 hours 39minutes long. When did the game end?
Answer:
The game ends at 2:39
Step-by-step explanation:
11:50 + 3 hours (3:00) = 2:00
2:00+ 0:39 = 2:39
The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .
In 2011 the boat will be worth $ .
Answer:
Step-by-step explanation:
[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]
Find a. Give your answer in
the simplest form.
[?]
a
zva
d
а
45
30
b
с
Answer:
a=7
Step-by-step explanation:
7(sq rt 2)=(sq rt 98)
sin 45=a/(sq rt 98)
0.7071=a/(sq rt 98)
a=0.7071(sq rt 98)
a=7
Change x+2y=-6 into y=mx+b form
Answer:
y = -3 - x/2
Step-by-step explanation:
x + 2y = -6
You have to isolate y by minusing x on both sides
2y = -6 - x
Then you will isolate y by dividing both sides by 2
y = -3 - x/2
the length of a rectangle garden is 5 m the area is 176 m2 what is the width of the garden
Answer:
Step-by-step explanation:
L = 5 m
area = L×W = 176 m²
5W = 176
W = 176/5 = 35.2 m
You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
(h,k)
Answer:
Step-by-step explanation:
Equation of circle: (x - h)² + (y -k)² = r²
(x+ 3)² + (y + 9)² = 144
(x+ 3)² + (y + 9)² = 12²
h = -3 ; k = -9
5 cm
12 cm
What is the area
of this rectangle?
And why
Answer:
60cm^2
Step-by-step explanation:
5X12=60
Can you look at the photo and help please.?
Answer:
sorry it aint werking for meeee
Step-by-step explanation:
Help me out please mathematic ✏️
60÷(63÷7)=
I don't understand plz help
Answer:
answer is simple
first we will solve the bracket
(63÷7)
it is 9
and then 60÷ 9
which gives 6.67