Answer:
Yes
Step-by-step explanation:
There are two cases: Case 1: x is even, so x can be modelled as a generic number 2n, where n is a positive integer. Clearly this product is divisible by two. ... Hence, it is safe to generalise that the term x²-x is divisible by 2 for any positive integer x.
Answer:
Step-by-step explanation:
No, because [tex](x^2-x)/2[/tex] does equal [tex]x^2/2-x/2[/tex]. Honestly, it really depends on the value of x, as it provide whether or not the expression is divisible by 2.
Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15% off. What was the sale price?
Answer:
Sale price= $25.5
Step-by-step explanation:
Giving the following information:
The original price was $29.99, but the ball was on sale for 15% off.
To calculate the sales price, we need to use the following formula:
Sale price= original price* (1 - sales discount)
Sale price= 29.99*(1 - 0.15)
Sale price= $25.5
Rebecca needs a box with a rectangular base of 36 cm2 and a volume of 180 cm3. What would be the height of this box? O A. 45 cm B. 30 cm C. 20 cm D. 15 cm E. 5 cm
Answer:
Volume of box V = 180 cm^3
Base area of box A = 36 cm^2
Height = h
Volume = base area × height
height = volume/base area
h = V/A
Substituting the values;
h = (180cm^3)/(36cm^2)
Height h = 5 cm
Step-by-step explanation:
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
write 1.87 as a fraction.
Answer:
[tex]1\frac{87}{100}[/tex]
Step-by-step explanation:
A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).
In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.
[tex]\frac{187}{100}[/tex]
Simplify, write as a mixed number,
[tex]1\frac{87}{100}[/tex]
What fraction of the dunk tanks require at least 500 gallons of water? Write the fraction in simplest form.
Answer:
1/2
Step-by-step explanation:
Based on the information observed from the attached box and whisker plot, the Fraction of dunk tanks which requires atleast 500 gallons of water. This fractional value will be the property of plot in the position marked as 500 on the plot. The point which refers to 500 gallons on the plot is the ticked point in between the box. This point represents the median value in a box and whisker plot.
The median value represents the 50th percentile value which relates to half of the distribution. This means that fraction of dunk which requires atleast 500 gallons is : (50/100) = 1/2
find the common ratio of 80, 20, 5
Answer:
The common ratio of the following sequence : 80, 20, 5,... is 1/4. Common ratio = 5/20 = 20/80 = 1/4
Step-by-step explanation:
Please help show work
(Don’t mind my answer I accidentally clicked)
anything helps :)
Evaluate the function.
f(x)= - x^2 - 10x
find f(-5)
Answer:
f(- 5) = 25
Step-by-step explanation:
To evaluate f(- 5) , substitute x = - 5 into f(x) , that is
f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25
Help on this one to ??
Answer:
64
Step-by-step explanation:
what is the general rule of the following geometric sequence
-4; -1; -1/4
Answer:
Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.
Step-by-step explanation:
-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.
Here is a list of numbers:
3.3, 3.9, 3.3, 8.1, 4.8, 7.3, 0.6, 6.1, 7.1
State the median.
Please help me out
Find the area of the triangle.
Answer:
66cm²
Step-by-step explanation:
The figure shown is actually a parallelogram
The area of a parallelogram can easily be calculated by multiplying the base length by the height
For this parallelogram the height given is 6 cm and the base length given is 11cm
so area = 6 * 11
6 * 11 = 66
hence the area of the parallelogram is 66cm²
Help me please !!!!!!
Answer:
The y-int represents the base price of $200 for airfare from NYC
The slope represents a cost of 30 cents per mile traveled
If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x
If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x
A group of scientists wants to investigate if they can predict the life expectancy of mammal species given
its average heart rate. The table below shows the relationship between average heart rate (in beats per
minute) and life expectancy (in years) for a sample of mammals.
Whale
Elephant
Horse
Lion
Sheep
Pig
Average heart rate (BPM)
20
30
34
50
75
95
Life expectancy (years)
70
70
40
13
15
25
All of the scatter plots below display the data correctly, but which one of them displays the data best?
By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the
x- axis
Answer:
GRAPH B
Step-by-step explanation:
I GOT IT CORRECT ON KAHN!!!!
6.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 212; your car travels 212 miles.
B. 1/53; Your car travels 53 miles every 1 hour.
C. 53/1; Your car travels 53 miles every 1 hour.
D. 10; your car travels for 10 hours.
Answer:
D. 10; your car travels for 10 hours.
Step-by-step explanation:
Need help need help need help need help
Answer:
Step-by-step explanation:
I believe that since both circles C & D are congruent, and TU is bisected into TW and WU, PS = 7.4/2 = 3.7
PS = 3.7
Answer:
it is 6.9
Step-by-step explanation:
i took the test
The ratio of boys to girls in class is 4 : 5
What fraction of the class are boys
Answer:
The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.
Anyone know how to do this?
Answer:
Gonna say B
Step-by-step explanation:
-0.01 (65)+110 = 109.35
It was the predicted value of the 65 year old's vision score.
Since the equation has an equal sign
y (=)
And not more than nor less than, answer choices C and D are eliminated.
The exact value for the 65 year old's vision score is 102. So, A isn't right.
Find the area of each sector. Round your answer to the nearest tenth
Answer:
[tex]398.2 {km}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{270}{360} \times \pi {r}^{2} \\ \frac{270}{360} \times \pi \times {13}^{2} \\ \frac{270}{360} \times \pi \times 169 \\ 398.2 {km}^{2} [/tex]
Hope this helps you
Can I have the brainliest please?
Have a nice day!
how many different burritos can be made when a customer chooses one item frm each category shown in the table
Answer:13
Step-by-step explanation:
Step-by-step explanation:
Is AB tangent , yes or no and why?
I need help ASAP
No links!!!
Answer:
no because the radius doesn't make 90 degree
Find the discount savings on a bicycle that originallycosts $230 but is on sale for 40% off. Show yourwork.
Answer:
You would save 92$
Step-by-step explanation:
Discount = Original Price x Discount 40/100
Discount = 230 × 40/100
Discount = 230 x 0.4
You save = $92.00
Final Price = Original Price - Discount
Final Price = 230 - 92
Final Price = $138.00
Hope this helps
Choose the function whose graph is given by
Answer:
D
Step-by-step explanation:
I plugged each equation into a graphing calculator and compared them to see which one matched the one in the picture.
The value of the trigonometric equation after transformation is given by the value y = 3 [ sin ( x + 3 ) ] - 2
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the parent function be represented as f ( x )
Now , the value of the trigonometric function f ( x ) is
f ( x ) = 3sin ( x )
when the function is translated 3 units to the left and 2 units down , we get
y = 3 [ sin ( x + 3 ) ] - 2
Therefore , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2 and the graph is plotted
Hence , the transformed function is y = 3 [ sin ( x + 3 ) ] - 2
To learn more about transformation of function click :
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Petra is making donuts by stamping circles in dough using a pastry stamp with a diameter of 3 inches. For the donut hole, she stamps out a circle using a pastry stamp that has a diameter of 1 inch.
How many square inches of dough are left to make the donut after the hole has been removed?
Answer:
2 inches would be left
Step-by-step explanation:
A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards
Answer:
C. 10
Step-by-step explanation:
5+5=10
10+10=20
10+20=30
Answer:
The other is 10 yards long
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 30 yards
and one of rectangle is 5 yards
Now,
Perimeter of rectangle
P = 2l + 2b
30 = 2(5) + 2b
30 = 10 + 2b
30 - 10 = 2b
20 = 2b
b = 20 ÷ 2
b = 10 yards
Thus, The other is 10 yards long
-TheUnknownScientist
Will mark brainliest if done within 20 minutes of this being posted! NO LINKS NO FILES. Solve the radical equations and show your work, check your solutions too.
Step-by-step explanation:
5√x+3 = -20
÷5. : √x+3 = -4
square: x+3 = 16
-3: x = 13
√x+18 -2 = x -4
+2 : √x+18 = x -2
square: x+18 = x^2 - 4x +4
-18: x = x^2 -4x -14
-x : 0 = x^2 -5x - 14
foil: (x- 7) (x+2) = 0
x = 7, -2
Can someone help me please
Answer:
A = 2x² + x - 45
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = length × breadth , thus
A = (2x - 9)(x + 5) ← expand using FOIL
= 2x² + 10x - 9x - 45 ← collect like terms
= 2x² + x - 45
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit:total of the monthly payments=3:5 she makes 6 equal monthly payments. Work out her monthly payment
Answer:
Monthly installments = £250
Step-by-step explanation:
Given
Total cost of holiday = £2400
Ratio deposit : total of the monthly payments=3:5
Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]
Total amount of the monthly payments = 2400 -900 = 1500
She pays six equal installments.
Amount of installments = 1500/6 = 250
Monthly installments = £250
Using proportions, it is found that her monthly payments are of £250.
The deposit is of x.The total of monthly payments the remainder, that is, 2400 - x.According to the ratio, we have that:
[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]
Applying cross multiplication:
[tex]5x = 3(2400 - x)[/tex]
[tex]8x = 7200[/tex]
[tex]x = \frac{7200}{8}[/tex]
[tex]x = 900[/tex]
Hence, the monthly payments add to £1500.
She makes 6 equal monthly payments, hence:
[tex]p = \frac{1500}{6} = 250[/tex]
Her monthly payments are of £250.
A similar problem is given at https://brainly.com/question/24372153
I NEED HELP ASAP
A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has two opportunities for a two-point conversion. He misses the first attempt 50% of the time. When he misses the first attempt, he misses the second attempt 15% of the time. What is the probability of missing both two-point conversion attempts?
Answer:
P = 0.075 P = 7.5%
Step-by-step explanation:
We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.
We know for a fact that the probability that the quarterback fails the first attempt is:
p(1) = 0.5
and we know that the probability that the quarterback fails the second attempt after failing the first is:
p(2/1) = 0.15
Then the probability of failure of both attempts is:
P(2/1) = p(1 and 2) / p(1)
p(1 and 2) = P(1) * P(1/2)
p(1 and 2) = 0.5 * 0.15
and that is
p(1 and 2) = 0.075
you probably didn't want the nerdy stuff but oh well
Answer:
Answer:
P = 0.075 P = 7.5%
Step-by-step explanation:
We pretty much look for the probability that the player fails the first attempt and also fails the second attempt.
We know for a fact that the probability that the quarterback fails the first attempt is:
p(1) = 0.5
and we know that the probability that the quarterback fails the second attempt after failing the first is:
p(2/1) = 0.15
Then the probability of failure of both attempts is:
P(2/1) = p(1 and 2) / p(1)
p(1 and 2) = P(1) * P(1/2)
p(1 and 2) = 0.5 * 0.15
and that is
p(1 and 2) = 0.075
What is the equation for the line that passes through the points (-5.5, 2.5) and (-2.5, -3.5)
questions are:
A) y= 2x + 13.5
B) y= x - 1
C) y= -2x + 1.5
D) y= -2x - 8.5
Answer:
D
Step-by-step explanation: