Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
solve for x leave answer in simplest radical form.
Answer:
4sqrt(15)
Step-by-step explanation:
a² + b² = c²
x² + 7² = 17²
x² + 49 = 289
x² = 240
[tex]\sqrt{x^2} =\sqrt{240}[/tex]
[tex]x=4\sqrt{15}[/tex]
Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =
Answer:
<BGC and <FGE are vertical angles
<BGC=90°-42°=48°
So m<FGE=48°
Hope it helps...
If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above
Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct
Someone help me please!!!Divide 100 in the ratio 2:3.
Answer:
pirwvjihpwrugh
Step-by-step explanation:
wrhfuwhfuhugfrifhi
Answer:
not possible
Step-by-step explanation:
It can't be possible because the ratio would be 50:1 is possible
What is the domain of the function
Answer:
Domain- (-∞,∞), {x/x ∈ R}
Step-by-step explanation:
please help me I dont understand this question
Answer:
sinx=opp/hyp=6/10=0.6
x=sin-(0.6)=37°
Solve for X if D = -9
3 + 6x · 5d = ?
Answer:
3-270x
Step-by-step explanation:
the length of a road is 1000 miles. if 1 inch represents 100 miles, what is the length of the road on the map?
Answer: 10 miles
Step-by-step explanation:
Given
The length of the road is 1000 miles
Solve
The length of the map to real=1 : 100Let x be the length on the map1 : 100 = x : 1000 ⇔ Proportion Set Up
100x = 1000 ⇔ Cross Multiply
100x/100 = 1000/100 ⇔ Divide both sides by 100
x=10 ⇔ Simplify
Hope this helps!! :)
Please let me know if you have any questions
A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?
5% of 40,000 is 2,000
What is the solution to the equation 3(x-2)=3(x+4)=27
Ox= 12
OX= 14
x= 16
Ox= 26
(7+i)-(6-4i) whats this answer as a complex number in standard form.
Remove parenthesis, rearrange, and combine like terms.
7+i-6+4i
1i+4i+7-6
5i+1
---
hope it helps
For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg/dl and a standard deviation 10 mg/dl. Suppose that a sample of 4 patients will be selected and the sample mean blood-glucose level will be computed. Enter answers rounded to three decimal places.
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between
the lower-bound of [BLANK] and the upper-bound of [BLANK]
Answer:
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
Step-by-step explanation:
Empirical Rule
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
In this question:
Mean of 127, standard deviation of 10.
For the sample mean:
By the Central Limit Theorem, mean is 127, while the standard deviation is [tex]s = \frac{10}{\sqrt{4}} = 5[/tex]
According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?
By the Empirical Rule, within 2 standard deviations of the mean. So
127 - 2*5 = 117 mg/dl
127 + 2*5 = 137 mg/dl.
Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.
Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________
Answer:
1/4
Step-by-step explanation:
I could be wrong but that's what I would put
Answer:
P(next to be rose) = 1/4Explanation:
in general when she picked 12 flowers, 3 were roses
3/12 = 1/4
Which graph represents exponential decay?
On a coordinate plane, a straight line has a negative slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 2 and curves up in quadrant 1.
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2.
The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2 thus, option (D) is correct.
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given,
The exponential function is a function that changes rapidly, for example, y = 6^x here as x approaches higher the y approaches rapidly higher.
Exponential decay is the exponential function that rapidly decreases as x increases for example y = 6^(-x).
The graph of the exponential decay has been graphed below.
Hence "The graph which shows the function is exponential decay is on a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up in quadrant 2".
For more about exponential function,
https://brainly.com/question/15352175
#SPJ6
Answer:
D
Step-by-step explanation:
edge
hope this helps :)
If x -9 is a factor of x^2 -5 -36, what is the other factor?
Answer:
Factors are (x-9)(x+4)
Step-by-step explanation:
giving brainliest !!!!!!
Answer:
216
Step-by-step explanation:
6*6*6= 216
btw i am not using the formula for volume. 6*6 because you need the area of one side. then multiply that by 6 because there are 6 sides of a cube so 6*6*6=216
1. 0.5
2. 14
3. 8
4. 10
Answer:
The awnser is 14
Step-by-step explanation:
If you multiply length x width then divide u get 14
What is the value of x?
-1/3 – ¼
please show work if you don`t please don`t answer the question
Answer:
-1/3 - 1/4
First, make common denominators
-4/12 - 3/12
Then subtract the numerators
- 7/12
(ruu ule
(b) दिइएको समीकरणबाट झुकाव पत्ता लगाऊ ।
(Find the slope of the given equation): y-3 = 2x
Answer:
y-3 = 2x
2x-y+3=0 we have
slope
m =- coefficient of x/coefficient of y=-2/-3=2/3 is a slope..
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
increase R700 in the Ratio 3:2
Step-by-step explanation:
³93521586335445555554555554488807799654
Helppppppp plzzzzzzzzz
Ewan HH
Step-by-step explanation:
Ewanjajsbehudbeiisiejebejehehehheehhehehe
Answer:
???
Step-by-step explanation:
Identity the coterminal angle between 360° and 360° for the angle - 120°
No
Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?
Answer:
$146.25
Step-by-step explanation:
$6.50 per hour
for 25 hours = 25 × 6.50 = $162.5
10% of 162.5
162.5 × 10 ÷ 100
= 16.25
his week paycheck
162.5 - 16.25
= $146.25
Answer:
146.25$ is the a answer for sure
Maximizing revenue. Edwards University wants to determine what price to charge for tickets to football games. At $18 per ticket, attendance averages 40,000 people per game. Every decrease of $3 to the ticket price adds 10,000 people to the average attendance. Every person at a game spends an average of $4.50 on concessions. What price per ticket will maximize revenue
Answer:
New price is $12.75
New attendance is 57500
Step-by-step explanation:
For starters, we use the relation.
18 - 3x
Since we don't know the number of times we're expected to deduct $3 from the price.
Again, we have 40000 + 10000x on another hand. Question says to add 10000 people everytime $3 is deducted.
Since (40000 + 10000x) is the number of people, we multiply it by $4.50, the average amount each person spends is then gotten to be
(18 - 3x) (40000 + 10000x) + (40000 + 10000x) (4.5) = 0
Expanding the bracket, we have
[720000 + 60000x - 30000x²] + [180000 + 45000x] = 0, solving further, we have
900000 + 105000x - 30000x² = 0 or
-30000x² + 105000x + 900000 = 0
Then, we find the maximum of a quadratic, by finding the axis of symmetry. Use x = -b/2a
x = -105000 / 2 * -30000
x = -105000 / -60000
x = 1.75
From our earlier equations, the new price then is
18 - 3(1.75) = 18 - 5.25 = $12.75
The new attendance also is
40000 + 10000(1.75) =
40000 + 17500 = 57500
If you borrow $500 for 6 years at an interest rate of 9%, how much interest will you pay?
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
<5,2>
Step-by-step explanation:
ten vegetable selections available, how many 3 vegetable plates can be made
Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles