Answer:
A.2b2(x2-x-3)
B.x2+2x+2x+4
=x(x+2)+2(x+2)
=(x+2)(x+2)
C.x2-2^2
=(x+2)(x+2)
The time, t, required to drive a fixed distance varies inversely as the speed, r. It takes 2 hr at a speed of 15 km/h to drive a fixed distance. How long will it take to drive the same distance at a speed of 29 km/h?
The time taken to drive the same distance at a speed of 29km/h is
Answer:
1.03h
Step-by-step explanation:
S=vt
S= 15km/h*2h
S= 30km
Distance same, S=30km
v= 29km/h
t = 30/29
t = 1.03 h
An American tourist visits South Africa with $3000. The exchange rate when she arrives is
$1 = 12.90. She changes all her dollars into rands and then spends R900 per day for seven
days. She changes the rands she has left back into dollars at a rate of $1 = R12.93. How much
does she get in dollars? show your working.
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Answer:
$2505.80
Step-by-step explanation:
After the first exchange, the tourist has ...
$3000(12.90 R/$) = R38,700
After 7 days, she has ...
R38,700 -7(R900) = R32,400
After the second exchange, she has ...
R32,400 × ($1/R12.93) = $2505.80
She gets $2505.80 at the second exchange.
find the equation of the line perpendicular to the given line, through the given point x=-3; (1,8)
Answer:
y = 8
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify
[Line] x = -3
Point (1, 8)
Step 2: Find Perpendicular Line
A vertical line's slope is undefined.
The negative reciprocal of an undefined slope is 0.
Define perpendicular slope: m = 0Substitute in m [Slope-Intercept Form]: y = 0x + bSimplify: y = bGiven point (1, 8), our y-value is equal to 8.
∴ the perpendicular line is y = 8.
Byron is working in a lab testing bacteria populations. After starting out with a population of 288 bacteria, he observes the change in population and notices that the population triples every 16 minutes. Step 1 of 2 : Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.
Answer:
[tex]P = 288 * 3^{(\frac{t}{16}) }[/tex]
Step-by-step explanation:
According to the Question,
Given that, Byron is working in a lab testing bacteria populations. After starting out with a population of 288 bacteria, he observes the change in population and notices that the population triples every 16 minutes.Therefore, the equation for the population P in terms of time t in minutes is[tex]P = 288 * 3^{(\frac{t}{16}) }[/tex] .
Which is shown by the map
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation: Different colours show different parts of africa and the general language spoken by individuals. From the map show, there are a lot of languages in Africa.
PLEASE HELP ME WITH THIS ONE QUESTION
How many combinations with repetition are allowed if n = 6 and r = 3?
A) 27
B) 20
C) 18
D) 56
Answer:
D. 56
Step-by-step explanation:
The general solution for the number of combinations with repetition is represented by the following expression:
[tex]x = \frac{(n + r - 1)!}{r!\cdot (n-1)!}[/tex] (1)
Where:
[tex]n[/tex] - Total number of elements.
[tex]r[/tex] - Number of the sample.
If we know that [tex]n = 6[/tex] and [tex]r = 3[/tex], then the number of combinations with repetition:
[tex]x = \frac{(6+3-1)!}{3!\cdot (6-1)!}[/tex]
[tex]x = 56[/tex]
Hence, correct answer is D.
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumping accurately (within 3.3 oz when 5 gal ispumped),and 5689 pumps were accurate. Use a 0.01 significance level to test the claimof an industryrepresentative that less than 20% of the pumps are inaccurate.
Answer:
The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.
x = 1304, n = 1304 + 5689 = 6993
The level of significance = 0.01
The sample proportion of pump which is not pumping accurately can be calculated as,
The claim is that the industry representative less than 20% of the pumps are inaccurate.
The hypothesis can be constructed as:
H0: p = 0.20
H1: p < 0.20
The one-sample proportion Z test will be used.
The test statistic value can be obtained as:
[tex]Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927[/tex]
Solve the inequality.
y-6 < -13
y< 19
O
y<7
y<-7
y < -19
Answer:
y < -7.
Step-by-step explanation:
y - 6 < -13
Add 6 to both sides:
y - 6 + 6 < -13 + 6
y < -7.
Una librería consta de 5400 libros repartidos en 3 estanterías
En la estanteria A ahi el triple de libros que en la B y en la B la mitad que en la C calcular cuantos libros ahi en cada estanteria
Construir la ecuacion que plantea el problema
Answer:
B = 900 Libros
A = 2700 Libros
C = 1800 Libros
Step-by-step explanation:
A = 3B
2B = C
A + B + C = 5400
3B + B + 2B = 5400
6B = 5400
B = 5400 / 6
B = 900 Libros
A = 3B
A = 3(900)
A = 2700 Libros
C = 2B
C = 2(900)
C = 1800 Libros
PLS HELP ASAP!!!
THANK YOU.
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Answer:
rectangular prism: 288 ft³triangular prism: 72 ft³total: 360 ft³Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = LWH . . . . . the product of length, width, height
This rectangular prism has a volume of ...
V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume
__
The volume of a triangular prism is found from the formula ...
V = Bh
where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...
A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.
Here, we have ...
B = 1/2(6 ft)(4 ft) = 12 ft²
V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume
__
The total volume of the given geometry is the sum of the volumes of the parts:
aquarium volume = 288 ft³ +72 ft³ = 360 ft³
a bag contains 5white and 3red identical balls.if the balls are drawn at random after the other without replacement. what is the probability that the first red ball is picked at fifth draw
Answer:
2/7
Step-by-step explanation:
A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of
time (in hours):
distance (d) 42 252 378
time (9 0.5 3
4.5
a. Use complete sentences to describe the relationship represented in the table.
b. Write an equation using variables that represents the relationship shown in the table.
c. Use your equation to find how far the bus travels in 6 hours.
Answer:
question is not clear
specify the table
HELP!!!!
Car Survey In a survey of 3,200 people who owned a certain type of car, 2,080 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
___% of the people surveyed were satisfied with the car.
Answer:
65%
Step-by-step explanation:
2080/3200times100%
Find the probability
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Red: 2
Blue: 4
Yellow: 4
[tex]\frac{2}{10}[/tex]
[tex]\frac{2/2}{10/2}=\frac{1}{5}[/tex]
help? write down the answer with an explanation I give brainiest
so we'll go backwards.
emily ended with $6.00.
6×2 at the music store = $12
12×2 at the bakery = $24
24 × 2 at the grocery store = $48
she started with a total of $48.00
to check answer:
48 ÷ 2 = 24 at bakery
24 ÷ 2 = 12 at music
12 ÷ 2 =6 at lunch
If I have 46 $ and the taxi cab charges 0.60$ plus 7$ fee how far can I ride
Answer:
65 miles
Step-by-step explanation:
costs = flat fee + cost per mile * miles
46 = 7+ .60m
Subtract 7 from each side
46-7 = 7+.6m-7
39 = .6m
Divide each side by .6
39/.6 = m
65 miles
find slope from the pair of points (2,-2) (-5,4)
Answer:
-6/7
Step-by-step explanation:
If we have two points, we can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 4 - -2)/( -5 -2)
= ( 4+2) /(-5-2)
= 6/-7
= -6/7
The length of a rectangle should be 8 meters longer than 7 times the width. If the length must be
between 43 and 106 meters long, what are the restrictions for the width, x?
Answer:
The restrictions for x would be 14 > x > 5.
Step-by-step explanation:
Let the length of the rectangle be y and the width be x.
That being said, the equation would be as follows:
[tex]y = 7x + 8[/tex]
[tex]y - 8 = 7x[/tex]
[tex]x = \frac{y-8}{7}[/tex]
Therefore, substituting the two values of y into the equations, we would get:
[tex]x = \frac{43-8}{7}[/tex]
[tex]x = \frac{35}{7}[/tex]
[tex]x = 5[/tex]
And:
[tex]x = \frac{106-8}{7}[/tex]
[tex]x = \frac{98}{7}[/tex]
[tex]x = 14[/tex]
Therefore, x would be between 5 and 14, and the restrictions for x would be 14 > x > 5.
Hope this helped!
Please help kdkeoeieiei
Answer:
NEGATIVE
Step-by-step explanation:
Answer:
positive
Step-by-step explanation:
positive
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
Which expression is equivalent to:
-(4a-4b)
-4a-4b
-8a+4b
-8ab
-4a+4b
Step-by-step explanation:
-4a+4b is equivalent to -(4a-4b).hope it helpsstay safe healthy and happy..3. Find the length of X (in the picture) plssss I need help.
Answer:
imagine the upper triangle as the same as the lower one, but rotated by 180° around the corner point they share, and resized.
the base of the smaller triangle is resized by a factor of 3/4.5, or reduced: 1/1.5
we just take the length from the hypotenuse of the bigger triangle and resize it to, either by multiplying with 1/1.5 or by dividing by 1.5
personally, I find the latter easier.
x = 7.5/1.5 = 5
One card is selected from a deck of cards. Find the odds against drawing a 5
Line t has an equation of y = -8x + 7. Line u includes the point (-1, 7) and is parallel to line
t. What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Use y=mx+b.
1
2 3 4
5.
12
Answer:
y = -8x - 1
Step-by-step explanation:
y = mx + b
7 = -8 (-1) + b Substitute in points for x and y. Substitute -8 for m (parallel)
7 = 8 + b
-1 = b
Use technology to help you test the claim about the population mean, mu, at the given level of significance, alpha, using the given sample statistics. Assume the population is normally distributed.
Claim: μ>1220;α=0.08; σ=211.67.
Sample statistics: x=1235.91,n=300
Identify the null and alternative hypotheses and calculate the standardized test statistic.
Answer:
H0 : μ = 1220
H1 : μ > 1220
Test statistic = 1.30
Step-by-step explanation:
Sample mean, x = 1235.91
Standard deviation, σ = 211.67
Sample size, n = 300
The hypothesis :
Null ; H0 : μ = 1220
Alternative ; H1 : μ > 1220
Tbe test statistic :
(x - μ) ÷ (σ/√(n))
(1235.91 - 1220) ÷ (211.67/√(300))
15.91 / 12.220773
= 1.3018
= 1.30
Please help me esperas this!!
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Answer:
tan(φ) = (x² -1)/(2x)
Step-by-step explanation:
In a right triangle, the tangent of one of the acute angles is the ratio of the opposite side to the adjacent side. Here, the length of the adjacent side is not given, but can be found from the Pythagorean theorem.
adjacent side = √((x² +1)² -(x² -1)²) = √((x⁴ +2x² +1) -(x⁴ -2x²+1))
adjacent side = √(4x²) = 2x
Then the tangent ratio is ...
tan(φ) = (opposite side)/(adjacent side)
tan(φ) = (x² -1)/(2x) . . . . . . for x > 0
6 Write 89.4945 correct to (a) nearest whole number, [1] (b) two decimal places.
Answer:
a)89
b)89.45
Step-by-step explanation:
Which statement is true regarding the graphed functions?
Answer:
I am pretty sure that it's the second one
Wayne is picking out some movies to rent, and he is primarily interested in dramas and horror films. He has narrowed down his selections to 7 dramas and 16 horror films. How many different combinations of 3 movies can he rent if he wants at least two dramas
Answer:
The number of selections is 49.
Step-by-step explanation:
drama = 7
horror films = 16
Select 3 movies at least two dramas
For 2 drama and 1 horror film
(3 C 2) x (16 C 1) = 48
For 3 drama
(3 C 3) = 1
So, total number of selections is 48 + 1 = 49.
What is 4+1 lets see how smart u sre
Answer:
its legit 5
Step-by-step explanation:
Answer:
Very tricky question..
4 + 1 is 5 because you have written 4+1 not 4 1
so 5 is correct answer
Step-by-step explanation:
hope it helps