Plot the x- and y-intercepts to graph the equation.
y=−x−5
Answers
Answer:
See the graph
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope: − 1
x-intercept: (-5,0)
y-intercept: ( 0 , − 5 )
Related Questions
Two containers of gasoline hold a total of 50 gallons. The big container can hold 10 gallons less than twice the small
container. How many gallons does each container hold?
Answers
Answer:
The big container holds 30 gallons and the small container holds 20 gallons
Step-by-step explanation:
Let
The big container = x
Small container = y
The big container can hold 10 gallons less than twice the small
x = 2y - 10
Total gasoline in both containers = 50 gallons
x + y = 50
Substitute x = 2y - 10 into the equation
2y - 10 + y = 50
3y = 50 + 10
3y = 60
Divide both sides by 3
y = 60 / 3
= 20
y = 20 gallons
Recall,
x + y = 50
x + 20 = 50
x = 50 - 20
= 30
x = 30 gallons
The big container holds 30 gallons and the small container holds 20 gallons
Answer:
The big container has 30 gallons and the small container has 20 gallons.
Step-by-step explanation:
Solve for z. -10 = 5z + 5
Answers
Answer: -2
:)
Step-by-step explanation:
A candlemaker prices one set of scented candles at $10 and sells an average of 200 sets each week. He finds that when he reduces the price by $1, he then sells 50 more candle sets each week. A function can be used to model the relationship between the candlemaker's weekly revenue, R(x), after x one-dollar decreases in price.
Answers
Answer:
R(x) = -50x2 + 300x + 2000
Maximum revenue of $2450 with x = 3
Step-by-step explanation:
For each 1$ reduced of the price, he sells 50 more candle sets, so if he reduces x times the price by 1$, the final price will be:
price = 10 - x
And the number of sets sold will be:
sets = 200 + 50x
If the revenue is the price times the number of sets sold, we have that:
R(x) = (10 - x) * (200 + 50x)
R(x) = 2000 + 500x - 200x - 50x2
R(x) = -50x2 + 300x + 2000
To find the value of x that gives the maximum revenue, we use the formula of the vertex of the quadratic equation:
x_v = -b / 2a
x_v = -300 / (-100) = 3
And the maximum revenue is:
R(x_v) = -50*3^2 + 300*3 + 2000 = $2450
Thirty-one plus three times a number is seventy-six.
Helppp.
Answers
Answer:
15
Step-by-step explanation:
Pretend a is the number.
We have: 31 + 3a = 76
=> 3a = 76 - 31 = 45
=> a = 45/3
=> a = 15
-31. -31
3x=45
divide by 3
15x
Why is it important to know where formulas come from?
to be able to derive the formula if needed
to be certain of calculations
to develop number sense
to memorize math symbols
Answers
Answer:
to be able to derive the formula if needed
Step-by-step explanation:
as you gain more class grades they sometimes ask you the origin of a certain formula that's why
I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!
Answers
Answer: Whats the question? I dont see
Step-by-step explanation:
Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At what location os the vessel in distress located? Describe how you arrived at your conclusion using complete sentences.
Answers
I've attached an image showing the coordinates of Ship A and Ship B.
Answer:
distressed vessel is located at (1, 1.5)
Step-by-step explanation:
From the image attached, we can see that;
Coordinate of ship A is (3, 4)
Coordinate of ship B is (1, 1)
Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.
This means that the distressed ship is somewhere in between ship A & B.
To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.
Now, if we do that, we will see that they will intersect at the point; (1, 1.5)
Thus,distressed vessel is located at (1, 1.5)
the height h(t) of a trianle is increasing at 2.5 cm/min, while it's area A(t) is also increasing at 4.7 cm2/min. at what rate is the base b(t) chaging when the height h=15cm and the area A= 130cm2
Answers
Answer:
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Step-by-step explanation:
From Geometry we understand that area of triangle is determined by the following expression:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (Eq. 1)
Where:
[tex]A[/tex] - Area of the triangle, measured in square centimeters.
[tex]b[/tex] - Base of the triangle, measured in centimeters.
[tex]h[/tex] - Height of the triangle, measured in centimeters.
By Differential Calculus we deduce an expression for the rate of change of the area in time:
[tex]\frac{dA}{dt} = \frac{1}{2}\cdot \frac{db}{dt}\cdot h + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}[/tex] (Eq. 2)
Where:
[tex]\frac{dA}{dt}[/tex] - Rate of change of area in time, measured in square centimeters per minute.
[tex]\frac{db}{dt}[/tex] - Rate of change of base in time, measured in centimeters per minute.
[tex]\frac{dh}{dt}[/tex] - Rate of change of height in time, measured in centimeters per minute.
Now we clear the rate of change of base in time within (Eq, 2):
[tex]\frac{1}{2}\cdot\frac{db}{dt}\cdot h = \frac{dA}{dt}-\frac{1}{2}\cdot b\cdot \frac{dh}{dt}[/tex]
[tex]\frac{db}{dt} = \frac{2}{h}\cdot \frac{dA}{dt} -\frac{b}{h}\cdot \frac{dh}{dt}[/tex] (Eq. 3)
The base of the triangle can be found clearing respective variable within (Eq. 1):
[tex]b = \frac{2\cdot A}{h}[/tex]
If we know that [tex]A = 130\,cm^{2}[/tex], [tex]h = 15\,cm[/tex], [tex]\frac{dh}{dt} = 2.5\,\frac{cm}{min}[/tex] and [tex]\frac{dA}{dt} = 4.7\,\frac{cm^{2}}{min}[/tex], the rate of change of the base of the triangle in time is:
[tex]b = \frac{2\cdot (130\,cm^{2})}{15\,cm}[/tex]
[tex]b = 17.333\,cm[/tex]
[tex]\frac{db}{dt} = \left(\frac{2}{15\,cm}\right)\cdot \left(4.7\,\frac{cm^{2}}{min} \right) -\left(\frac{17.333\,cm}{15\,cm} \right)\cdot \left(2.5\,\frac{cm}{min} \right)[/tex]
[tex]\frac{db}{dt} = -2.262\,\frac{cm}{min}[/tex]
The base of the triangle decreases at a rate of 2.262 centimeters per minute.
Problem 7-35 A satellite range prediction error has the standard normal distribution with mean 0 NM and standard deviation 1 NM. Find the following probabilities for the prediction error: (a) less than 1.17 NM Probability (b) between 1.04 NM and 1.99 NM Probability (c) greater than 0.93 NM Probability (d) between 0.24 NM and 0.73 NM Probability (e) less than or equal to 2.3 NM Probability (f) greater than 2.22 NM or less than .65 NM Probability (g) greater than or equal to 2.0 NM Probability\
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
For a normal distribution with :
Mean(m) = 0
Standard deviation (s) = 1
Calculate :
(a) less than 1.17 NM Probability
Zscore = (x - m) / s = (1.17 - 0) / 1 = 1.17
P(z < 1.17) = 0.879
(b) between 1.04 NM and 1.99 NM Probability
Zscore = (x - m) / s = (1.04 - 0) / 1 = 1.04
P(z < 1.04) = 0.8508
Zscore = (x - m) / s = (1.99 - 0) / 1 = 1.99
P(z < 1.99) = 0.9767
(0.9767 - 0.8508) = 0.1259
(c) greater than 0.93 NM Probability
P(Z > 0.93) = 1 - p(Z < 0.93) = 1 - 0.8238 = 0.1762
(d) between 0.24 NM and 0.73 NM Probability
P(Z < 0.24) = 0.5948
P(Z <0.73) = 0.7673
0.7673 - 0.5948 = 0.1725
(e) less than or equal to 2.3 NM Probability
P(Z ≤ 2.3) = 0.9893
(f) greater than 2.22 NM or less than .65 NM
P(Z > 2.22) = 1 - p(Z < 2.22) = 1 - 0.9868 = 0.0132
P(Z < 0.65) = 0.7422
0.7422 - 0.0132 = 0.729
(g) greater than or equal to 2.0 NM Probability
P(Z ≥2) = 1 - p(Z ≤ 2)
1 - 0.97725 = 0.02275
Question 8
A log with diameter 60 cm is 3 m in length its hollow centre is 20 cm in diameter.
Find the surface area of the log in cm', including the ends and the inside, correct to one decimal place.
Answers
Answer:
The surface area of the log including the ends and the inside is 80424.8 cm²
Step-by-step explanation:
To determine the surface area of the log with hollow center including the ends and the inside, we will find the surface area of the outer part of the log, surface area of the inner part of the log and the surface area of the two ends; and then sum everything up.
From the question,
Diameter of log = 60 cm
Length of log = 3 m = 300 cm
Diameter of hollow center = 20 cm
For the surface area of the outer part,
Area of the outer part = Circumference of the outer part × length
Circumference = 2πr = πd
∴ Area of the outer part = πd × l
(NOTE: d here is the diameter of the log)
d = 60 cm and l = 300 cm
Area of the outer part = 60π × 300 = 18000π cm²
For the surface area of the inner part,
Area of the inner part = Circumference of the inner part × length = πd × l
(NOTE: d here is the diameter of the hollow center)
d = 20 cm and l = 300 cm
Area of the inner part = 20π × 300 = 6000π cm²
For the surface area of one end
This is the difference between the area of the outer end and the area of the inner end
Here, we can determine the area by using
Area = πr², where r is the radius
Radius = Diameter / 2
Radius of outer end (R) = Diameter of log / 2 = 60cm / 2 = 30cm
Radius of inner end (r) = Diameter of hollow center / 2 = 20cm / 2 = 10 cm
∴ Surface area of one end = πR² - πr² = π(R²-r²)
= π (30²-10²)
= π (900 - 100)
= 800π cm²
This is the area of one end
For the two ends,
Area of the two ends = 2 × 800π cm² = 1600π cm²
Hence, the surface area of the log is 18000π cm² + 6000π cm² + 1600π cm²
Surface area of the log = 25600π cm²
Putting the value of π (π = 3.141592654)
Surface area of the log = 25600 × 3.141592654 cm²
Surface area of the log = 80424.77193 cm²
Surface area of the log = 80424.8 cm²
Hence, the surface area of the log including the ends and the inside is 80424.8 cm² (to one decimal place)
Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.
Answers
The image showing the complete question is attached.
Answer:
1) Scale factor = 2
2) Scale factor = 4
3) Scale factor = ½
4) Scale factor = 2
5) Scale factor = 1
6) Scale factor = ¼
7) Scale factor = 1
Step-by-step explanation:
Scale factor is a number by which the dimensions of an object are multiplied in order to create an enlarged or reduced object.
Now, from the image attached;
1) From P to Q, we see that the length of Q seems to be double that of P. Similarly, the width of Q seems to be double that of P. Thus, each dimension of P is said to be multiplied by 2 to achieve the enlarged dimensions of Q.
Thus, scale factor = 2
2) From P to R, we see that the length of R seems to be 4 times that of P. Similarly, the width of R seems to be 4 times that of P. Thus, each dimension of P is said to be multiplied by 4 to achieve the enlarged dimensions of R.
Thus, scale factor = 4
3) From Q to S, we see that the length of S seems to be half of that of Q. Similarly, the width of S seems to be half of Q. Thus, each dimension of Q is said to be multiplied by ½ to achieve the reduced dimensions of S.
Thus, scale factor = ½
4) From Q to R, we see that the length of R seems to be double that of Q. Similarly, the width of R seems to be double that of Q. Thus, each dimension of Q is said to be multiplied by 2 to achieve the enlarged dimensions of R.
Thus, scale factor = 2
5) From S to P, we can see that the dimensions of both rectangles remain the same. Thus, S was multiplied by a factor of 1 to get P. Scale factor = 1
6) From R to P, we see that the length of P seems to be a quarter that of R. Similarly, the width of P seems to be quarter of R. Thus, each dimension of R is said to be multiplied by ¼ to achieve the reduced dimensions of P.
Thus, scale factor = ¼
7) From P to S, we can see that the dimensions of both rectangles remain the same. Thus, P was multiplied by a factor of 1 to get S. Scale factor = 1
I'm sorry I told everyone your secret," my sister said.
(apologized)
Write these sentences in reported speech using the verb given in brackets.
Answers
Answer:
My sister apologized for telling everyone my secret.
Explanation:
Reported (or indirect) speech is a way to express someone's words without explicitly quoting them. The original sentence is an example of direct (quoted) speech, which means that someone's exact words are repeated. An obvious sign of this are the quotation marks. When it comes to the reported speech, these quotation marks are omitted because a direct quotation is no longer present.
3.Pete has a 15-foot ladder. The safety instructions recommend he should have the base of the ladder 6 feet from the base of the wall he will lean the ladder against. How high will the ladder reach on the wall?
Answers
Answer:
13.7
Step-by-step explanation:
A{2} + B{2} =C{2} \\
6{2} +B{2} =15{2} \\
6x6+B(2) =15x15\\
36+B(2)=225\\
-36\\
\sqrt{189} =13.7
Is X=10 a solution to the following equation? Show work to justify your answer.
-7x + 50 = x - 10
Answers
Answer:
x= 7.5
(that should be the answer)
Step-by-step explanation:
-7x+50 = x-10
10+50 = x+7x
60= 8x
60/8 = x
7.5= x
In order to solve for the variable in the equation 2 (4 x + 3) + 4 = 3 x minus (2 x + 4), Giovanni first applies the distributive property. Which equation is a result of this step? 8 x + 3 + 4 = 3 x minus 2 x + 4 8 x + 6 + 4 = 3 x minus 2 x minus 4 6 x + 5 + 4 = 3 x minus x + 3 6 x + 3 + 4 = 3 x minus x + 4
Answers
Answer:
b
Step-by-step explanation:
Answer:
B) 8x + 6 + 4 = 3x - 2x - 4
Step-by-step explanation:
Just took the test on edg :)
PLEASE HELP ME
A tuna chased its prey at a steady speed for 6.0 seconds. The tuna swam 7.8 m during the chase. What was the tuna speed? Write your answer to the tenths place
Answers
Answer:
1.3 meters per sec
Step-by-step explanation:
7.8/6=1.3
hope this helps :3
if it did pls mark brainliest ^^
help help hppppppp
Answers
Answer: 3
Step-by-step explanation:
N=7
7th grade math help me plzzz
Answers
Answer:
-7 minus 9 = -16
-3-(-10) =7
8-12=-4
4-(-5)=9
Step-by-step explanation:
im in 7th grade on edginuity got it all right
An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answers
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
11. Mary just received her paycheck and would like to cash it. She does not have a checking account, where should she go to cash it? *
Answers
Answer:
Cash it at the issuing bank (this is the bank name that is pre-printed on the check)
Cash a check at a retailer that cashes checks (discount department store, grocery stores, etc.)
Cash the check at a check-cashing store.
Deposit at an ATM onto a pre-paid card account or checkless debit card account.
Step-by-step explanation:
Answer:
Amscot?
Step-by-step explanation:
Mr. smith planted some new trees at his farm. He measured each tree. The height of each tree is shown in the line plot.
Answers
Answer:
one tree is 3 feet tall
most of the trees are less than 5 feet tall
Step-by-step explanation:
The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answers
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
Which is cd = pq – a solved for q?
Answers
Step-by-step explanation:
The answer is
[tex]q = \frac{cd}{p} [/tex]
The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answers
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
From a circular sheet of paper with a radius 20 cm, four circles
of radius 5 cm each are cut out. What is the ratio of the uncut to
the cut portion?
Answers
Answer:
3 : 1
Step-by-step explanation:
The biggest circle has a radius of 20 cm
So that means, its area will be,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi * 20^{2}[/tex]
A = [tex]\pi * 400[/tex]
=> A = 400[tex]\pi[/tex]
We do not need to solve this because it is nit required
Then, one small circle has an area of,
Area = [tex]\pi r^{2}[/tex]
Area = [tex]\pi *5^{2}[/tex]
Area = [tex]\pi *25[/tex]
=> Area = 25[tex]\pi[/tex]
As there are 4 circles in, we get that the area covered by the small squares,
=> [tex]25\pi * 4[/tex]
=> [tex]100\pi[/tex]
So, the amount shaded = 100/400 (We can omit the [tex]\pi[/tex] at this stage because we are finding out a ratio)
=> 1/4
So, there is 1 cut region and the remaining is the uncut region,
As we need to find uncut to cut, the ratio will be,
=> remaining : 1
=> 3 : 1
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
help please giving branliest
Answers
Answer:
C) 53°
Step-by-step explanation:
We know that <3 and <4 are equal, so we can solve for y.
3y+7=5y-73
7+73=5y-3y
80=2y
y=40
Now plug that in to <3
3y+7=3(40)+7=127
We know that <3 and <2 equal 180.
180-127=53
So <2=53°
PLZZZ HELP ME WITH THESE 4 QUESTIONS
THX SO MUCH!! ( 80 POINTSSSSS!!!!)
Answers
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
[tex]\sqrt[4]{a^{3} } = a^{\frac{3}{4} }[/tex]
Answer:
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
Step-by-step explanation:
Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###
Answers
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2
Answer:
x=11/2
Step-by-step explanation:
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answers
Answer:
hshshshshshshshsiqkZjfdudiodjfhfbbxdudijdd
A: 20
B: 25
C: 30
D: 35