The value of the product expression (x + 1)(x - 3) is x² - 2x - 3
How to determine the product?From the complete question, the product expression is given as:
(x + 1)(x - 3)
Expand
x(x - 3) + 1(x - 3)
Further, expand
x² - 3x + x - 3
Evaluate the like terms
x² - 2x - 3
Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3
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The candle emporium is pouring cylindrical candles. each candle has a radius of 5 inches and a height of 18 inches. which formula represents the correct way to find the volume of a candle? v = (5) (18) v = pi (5) (18) v = pi (18) squared (5) v = pi (5) squared (18)
Answer:
v = pi (5) squared (18)
Step-by-step explanation:
area of circle is pi * r²
so volume is the area X the length of 18
Answer: IM GONNA SAY D….EEZ N/ NO ITS ACTUALLY D
Step-by-step explanation:
Which explicit function defines this arithmetic sequence?
-351, -343, -335, -327, -319
A.
f(n) = 8n − 351
B.
f(n) = -8n − 351
C.
f(n) = 8n − 359
D.
f(n) = -8n + 359
Answer:
C. f(n) = 8n − 359
Step-by-step explanation:
The given arithmetic sequence has first term -351, and common difference (-343 -(-351)) = 8. The common difference will be the multiplier of n in the explicit function.
__
You can identify the appropriate explicit function by finding the one that correctly describes the sequence. Evaluating each for n=1 is sufficient. (You will note that choices B and D have the wrong sign on the multiplier of n.)
A f(1) = 8 -351 = -343
B f(1) = -8 -351 = -359
C f(1) = 8 -359 = -351 . . . . correctly gives the first term
D f(1) = -8 +359 = 351
The sequence is defined by the explicit function ...
f(n) = 8n -359
Answer:A:f(n)=8n-359
Step-by-step explanation:
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
(h – k)(3) =
Evaluate 3h(2) + 2k(3) =
.
Aaron flips a coin three times, what is the correct sample space (all possible outcomes)?
H or T
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
HT, HT, HT
HHH
HHH, HHT, HTH, THH, TTH, THT, HTT, TTT
That is representative of all possible outcomes from flipping the coin
A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft3/min. How rapidly is the diameter of the balloon increasing when the diameter is 1.3 feet?
Answer:
.9417 ft/min
Step-by-step explanation:
Sphere volume = 4/3 pi r^3
dv/dr = 4/3 pi * 3 r ^2 = 4 pi r^2
dv/dr * dr/dt = dv/dt = 4 pi r^2 dr/dt
2.5 = 4 pi (1.3/2)^2 dr/dt (Diameter is 1.3 , radius is 1.3/2)
dr/dt = .4709 ft/min
THIS answer is how fast the RADIUS is changing
the DIAMETER is changeing TWICE this:
2 x .4709 ft/min = .9417 ft / min = diameter/dt
0.025 / 0.08 how do you do it so can you explain the steps
Answer:
5 / 16
Step-by-step explanation:
For a question such as this, we most often simply use a calculator. However, I suppose that to do this by hand you would do as follows:
0.025 / 0.080
= 0.005 / 0.016
= 100 * (0.005 / 0.016)
= 5 / 16
The first step is a simplification. Both the numerator and denominator are divisible by 0.005. In the next step, we can multiply the numerator and denominator both by 100 to get whole numbers. Because we multiply each by the same number, we have not changed the value of the original fraction. This leaves us with 5 / 16.
Done
Brian brought $36.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Brian had $4.00 left over after buying these item.What was the cost of each item?
PLEASE HELP!!
What is the area of triangle ΔPQR round to the nearest tenth of a square meter? Drawing is not to scale.
A. 60.8 m2
B. 65.3 m2
C. 30.4 m2
D. 32.7 m2
Answer:
B
Step-by-step explanation:
Find the median mode and mean for each data set
Answer:
47) A
48) C
Step-by-step explanation:
Mode 13 and 17 : most appeared
Mode 1 : most appeared
Calculate the average : 8.6 ~ 9
Six out of eight people use Clean-White toothpaste, how many people out of 60,000 cah be expected to use Clean
white toothpaste?
HELPP.
Answer:
45,000 people
Step-by-step explanation:
Simplifying the expected ratio
6/8 people use toothpaste⇒ 3/4Multiply the ratio with 60,000
60,000 x 3/415,000 x 345,000 people can be expected to use Clean-White toothpasteLet they be x
x/60000=6/88x=360000x=360000/8x=45000Solve for the volume of the Sphere. ROUND TO THE NEAREST TENTH. 15 is the
radius.
Answer:
[tex]14137.8[/tex] to the nearest tenth
Step-by-step explanation:
write the equation of sphere volume:
[tex]\frac{4}{3} \pi r^{3}[/tex]
substitute the radius to the equation :
[tex]\frac{4}{3} \pi* 15^{3}[/tex]
solve by calculator:
[tex]\frac{4}{3} \pi* 15^{3}=14137.17\\[/tex]
≈[tex]14137.8[/tex] to the nearest tenth
Which is the graph of the circle (x−2)2+(y−1)2=25?
Answer: y=-x+31/2
Step-by-step explanation:
2x-4+2y-2=25
2y=-2x+31
y=-x+31/2
Solve using appropriate property:
3/8 × -4/5 + 7/9 × 3/8 (-3/8 × 8/10)
Answer:
Exact Form:
- 31/80
Decimal Form:
-0.3875
Step-by-step explanation:
hope this helps
sorry if wrong
Answer:
-0.3875
Step-by-step explanation:
Pa Brainless
Please Help Giving Brainlist Find the area of the figure.
Answer:
108 m²
Step-by-step explanation:
Area of the figure :
3 x 6 + (3 + 3) x 6 + (3 + 3 + 3) x 66 (3 + 6 + 9)6 (18)108 m²Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 kilometers per hour. How far apart were they after one hour? Round the answer to the nearest tenth.
Samantha and Mia are 13 km apart from each other.
What is Pythagoras theorem?The Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
As Mia walked 7km/h and she is 7 km north of Julia's house.
and, Samantha walked 11km/h and she is 11 km west of Julia's house.
The points where Mia and Samantha are after 1 hour as shown in figure, and Julia's house forms a right angled triangle.
the distance between the girls is shown by, hypotenuse of triangle
Using Pythagoras theorem,
[tex]H^{2} =P^{2} +B^{2}[/tex]
[tex]H^{2} =7^{2} +11^{2}[/tex]
[tex]H^{2} =49+121\\[/tex]
H= [tex]\sqrt{170}[/tex]
H= 13.038
H= 13 Km
They are 13 km apart from each other.
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Answer:
13.0 km
Step-by-step explanation:
all i know is the answer isn’t 10. pls help
Answer:
X is 72 i think
Step-by-step explanation:
all triangle equal 180, triangle formula bxh/2, so i did that and got 72.
How do you divide fractions i forgot in the 5th grade
Keep the first fraction the same
Change the division symbol into a multiplication symbol
Swap the numerator and the denominator of the second fraction
Example:
[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2
- Kan Academy Advance
Non-Liner System of Equations:
I created two systems of equations (one being linear one being quadratic) and need to solve them algebraically with work shown.
pls help
f(x) = 3x + 5
f(x) 3x^2 + 5
Answer: x=1, x=0
Step-by-step explanation:
On the map at the right, the public swimming pool can be represented by the point (-6, 5) and Tim’s house can be represented by the point (1, 5). If each unit on the graph represents 0.5 miles, how many miles is Tim’s house from the pool
The distance between the swimming pool and Tim's house is 3.5 miles.
How to find the distance?
First, we need to find the distance between the two points, and then we multiply that by 0.5 miles.
The distance between the points (-6, 5) and (1, 5) is:
[tex]d = \sqrt{(-6 - 1)^2 + (5 - 5)^2} = 7[/tex]
Now, changing to miles, we get:
d = 7*0.5mi = 3.5mi
So the distance is 3.5 miles
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Donald bought a box of golf balls for $9.26. There were 18 golf balls in the box. About how much did each golf ball cost?
Answer:
$0.51 per golf ball.
Step-by-step explanation:
9.26 divided by 18 is 0.51.
Answer:
$1.94 dollars
Step-by-step explanation:
hehe
Andrea picked 21 pounds of peaches in her orchard. She divided the peaches evenly between 4 large baskets.
How many ounces of peaches did Andrea put in each basket?
1. 1 pound = 16 ounces
2. 21 pounds * 16 ounces = 336 ounces
3. 336 ounces ÷ 4 baskets = 84 ounces per basket
OR
1. 1 pound = 16 ounces
2. 21 pounds ÷ 4 baskets = 5.25 pounds per basket
3. 5.25 pounds * 16 oz = 84 ounces per basket
Hope this helps!!
I have been stuck on this math equation for 15 minutes. Someone please help me!
Write the equation in standard form for the circle 3x^2+3y^2-54x+129=51y
Answer:
(x−9)²+(y−[tex]\frac{17}{2}[/tex])²=[tex]\frac{441}{4}[/tex]
Step-by-step explanation:
Solve for x
58° 22 X
Answer:
x = 13.75 units
Step-by-step explanation:
Right triangle
tan 58 = opposite side / adjacent side
tan 58 = 22/x
x = 22/ (tan 58) = 13.75
Solve -a/3=18 show work
Step-by-step explanation:
[tex] - \frac{a}{3} = 18 \\ [/tex]
[tex] - a = 18 \times 3 = 54[/tex]
Now change the sign of both side of the equation...
[tex]a = - 54[/tex]
This is a graph of y =2x-7
Use the graph to solve these equations
a. 2x-7=5
b. 2x-7=0
What is the shortest distance between the line y = 3x + 5 and the
point (0,0)? Round your answer to nearest tenth.
I NEED A FAST ANSWER PLS
Answer:
1.6 to nearest tenth.
Step-by-step explanation:
This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).
Equation of that line:
Slope = -1/3 so we can write:
y - 0 = -1/3(x - 0)
So its y = -1/3 x,
The point where it intersects with the given line is now found:
-1/3x = 3x + 5
10/3 x = -5
x = -5 *3/10 = -1.5.
- and the y coordinate = 3(-1.5) + 5 = 0.5.
So the point is (-1.5, 0.5)
and the required distance = √((-1.5)^2 + 0.5^2)
= 1.58
= 1.6 to nearest tenth.
Write the inequality given in the diagram below
Answer:
x ≥ - 1
Step-by-step explanation:
the solid circle above - 1 on the number line indicates that x can equal - 1
the arrow points right indicating x is greater than or equal to - 1 , that is
x ≥ - 1
Select all the correct answers.
If the measure of angle is 0 is 7pi/4, which statements are true?
The measure of the reference angle is 45°.
The measure of the reference angle is 30°.
tan(0) = -1
The measure of the reference angle is 60°.
cos(0) = -√2/2
sin(0) = -√2/2
The statement(s) that are true is that the measure of the reference angle is 45°.
What is the conversion of radians to degrees?The conversion of an angle in radian to a degree can be determined by the multiplication of the given angle in radian by 180/π.
From the given information:
[tex]\mathbf{\theta = \dfrac{7 \pi}{4}}[/tex]
To degrees, we have:
[tex]\mathbf{\theta = \dfrac{7 \pi}{4} \times \dfrac{180}{\pi}}[/tex]
[tex]\mathbf{\theta =315^0}[/tex]
A reference angle is an angle that measures the remaining distance (called the terminal distance) to the x-axis.
315° is in the 4th quadrant, i.e.
= 360° - 315°
= 45°
Therefore, the statement(s) that is true is:
The measure of the reference angle is 45°.Learn more about the conversion of radians to degrees here:
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Answer:
sin(0)=-√2/2
tan(0) = -1
The measure of the reference angle is 45°
Step-by-step explanation:
I took the test
Sam is thinking of retiring from his job after many years of faithful service. during the last 35 years at his job, his annual salary averages to $37,991. every month, his bills total $1,755. how much money would sam need each month to supplement his monthly social security benefit (assuming his annual benefit is 42% of his salary average) and still be able to pay his bills? a. at least $81.23 b. at least $425.32 c. at least $1,410.92 d. at least $3,019.67
Using proportions, the amount of money that Sam would need each month to pay his bills is of:
b. at least $425.32.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, his annual social security benefit is of 42% of $37,991, hence:
A = 0.42 x 37991 = $15,956.22.
Hence the monthly amount is given by:
M = 15956.22/12 = $1,329.68
He needs $1,755 monthly, hence the amount he needs is of at least:
An = 1755 - 1329.68 = $425.32.
Which means that option b is correct.
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Pls help]ppppppppp me
Answer:
a. (2x - 3)(x - 4)
b. 17 m, 6 m
c. 46 m
Step-by-step explanation:
a.
2x² - 11x + 12 = (2x - 3)(x - 4)
b.
2x - 3 = 2(10) - 3 = 17
x - 4 = 10 - 4 = 6
c.
P = 2L + 2W = 2(17) + 2(6) = 46
