Answer:
A does
Step-by-step explanation:
5+3+10+6=24x56310B=A+B=A
The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32
units. What is the width, in units, of the rectangle?
Answer:
The width of rectangle w = 4 units
Step-by-step explanation:
We are given:
Width of rectangle = w
Length of rectangle = w+ 4
Area of rectangle = 32 units
We need to find width of the rectangle
The formula used is: [tex]Area\:of\:rectangle=Length\times Width[/tex]
Putting values and finding width of rectangle
[tex]Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0[/tex]
We need to solve this quadratic equation to find width (w)
We will use factorisation and break the middle term.
[tex]w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8[/tex]
Since width of rectangle can't be negative, so rejecting w=-8
Therefore, the width of rectangle w = 4 units
Which statement is true of the function f(x) = -3^sqrt x ? Select three options.
The function is always increasing.
The function has a domain of all real numbers.
The function has a range of {y|–infinity < y < infinity }.
The function is a reflection of y = .3^sqrt x
The function passes through the point (3, –27).
Do you mean [tex]f(x)=-3^{\sqrt x}[/tex], as in the negative of 3 to the power of √x ? Or [tex]f(x)=-\sqrt[3]{x}[/tex], as in the negative cube root of x ?
If you mean [tex]f(x)=-3^{\sqrt x}[/tex], then, going through each option:
• no: the square root component is defined only for x ≥ 0, for which we have √x ≥ 0 and hence f(x) < 0 for all x in the domain. √x is an increasing function, so the powers of 3 get successively larger, so f(x) would be always decreasing;
• no: as mentioned above, the domain would be all non-negative numbers;
• no: at minimum, x = 0 which gives f (0) = -3⁰ = -1, and because f(x) is decreasing over its entire domain, the range would be {y | y ≤ -1};
• no: again, a bit of ambiguity, but assuming you mean to say here [tex]y=3^{\sqrt x}[/tex], yes, f(x) would be a reflection of y across the x-axis;
• and finally, no: [tex]f(3)=-3^{\sqrt3}\approx-6.705[/tex]
so that only the fourth option would be true.
On the other hand, if you mean [tex]f(x)=-\sqrt[3]{x}[/tex], then:
• no: the function is always decreasing;
• yes: the domain is all real numbers;
• yes: the range is {y | -∞ < y < ∞};
• yes: f(x) is a reflection of y=∛x, also about the x-axis; and
• no: f (3) = -∛3 ≈ -1.442
I suspect you mean the second case, since it's a bit simpler to approach.
Answer:
b,c,d
Step-by-step explanation:
Just took the test
Solve the inequality.
10. -3p > -48 (1 point)
O p<16
O p>-51
O p<-16
O p> 16
What one
Answer:
p < 16
Step-by-step explanation:
-3p > -48
Divide both sides by -3. Remember to change the direction of the inequality sign when you multiply or divide by a negative number.
-3p/(-3) < -48/(-3)
p < 16
Answer: p < 16
The numbers 2 and 7 are factors of 42. Which statement is true?
A.
The number 42 is neither a multiple of 2 or 7.
B.
The number 42 is a multiple of 7 but not 2.
C.
The number 42 is a multiple of both 2 and 7.
D.
The number 42 is a multiple of 2 but not 7.
I don't understand this question. I was hoping one of you could help.
Answer:
happy new year
1. Two ski rental companies have different pricing systems. Company A charges a flat fee of $10 plus $5 per hour. Company B does not charge a flat fee but charges $7 per hour rented. After how many hours do both companies charge the same amount?
a. Fill in the equation for the cost of renting skis from Company A.
y = ____ + _____ x
b. Fill in the equation for the cost of renting skis from Company B.
y = _____ x
c. Circle the best method for the cost of renting skis from Company B.
Graphing Substitution Elimination
d. Solve the system using the method you chose.
Rewrite your two equations here. -----------
After ______ hours, both companies charge _____.
e. Check your answer.
Answer:
1a. y = $10 + $5x (With $10 as the flat fee, Company A charges $5 an hour, so the equation should be $10, base, plus $5x, the amount charged after you paid the flat fee.)
1b. y = $7x (Every hour $7 translates to $7x as the total. Nothing more, nothing less.)
1c. Substitution (This will allow us to substitute in one of the equations with y, since the question asks for the same amount charged, with the other equation.)
1d. $10 + $5x = $7x
$7x - $5x = $10
$2x = $10
x = [tex]\frac{\$10}{\$2}[/tex]
x = 5
Therefore, after 5 hours, both companies charge $35 dollars.
1e. To check whether this is correct, let's sub in the amount of hours for both equations.
For Company A:
y = $10 + $5x
y = $10 + $5(5)
y = $35
For Company B:
y = $7x
y = $7(5)
y = $35
Since both are equal to $35, we can definitively say the answer is 5 hours.
Step-by-step explanation:
Hope this helped!
Reggie started a running program to prepare for track season. Every day for 60 days, he ran a half hour in the morning and a half hour in the evening. He averaged 6.5 miles per hour. At this rate, what is the total number of miles Reggie ran over the 60-day period?
Answer: 390 miles
Step-by-step explanation:
Reggie ran for half an hour in the morning and half an hour in the evening.
That is a total of 1 hour for the day.
He runs 6.5 miles in one hour.
In 60 days he would have ran;
= 60 * 6.5
= 390 miles
Question 4 How many integer numbers between 0 and 9999 are there that have exactly one digit 1 and exactly one digit 3
Answer:
768 numbers
Step-by-step explanation:
Given
[tex]Digits = \{0,1,2,3,4,5,6,7,8,9\}[/tex]
Required
Number of digits between 0 ad 9999 that have one 1 and one 3
There are a total of 4 digits that make up any of the numbers in 0 to 9999 with the given condition
This can be represented as WXYZ
Digit 1 can occupy any of the 4 positionsDigit 3 can occupy any of the 4 - 1 positionsThe remaining 8 digits will occupy the last 2 positions in the following ways:
The first of the 8 digits can be selected from any of [tex]\{0,2,4,5,6,7,8,9\}[/tex] i.e. 8 waysThe second can be selected from any of [tex]\{0,2,4,5,6,7,8,9\}[/tex] i.e. 8 waysSo, the total number of selection is:
[tex]Total = 4 * (4 - 1) * 8 * 8[/tex]
[tex]Total = 4 * 3 * 8 * 8[/tex]
[tex]Total = 768[/tex]
The solutions to the inequalityys 2x - 4 are shaded on
the graph. Which point is a solution?
O (-1,1)
O (1, -1)
O (3, 2)
O(2,3)
Answer:
(3,2)
Step-by-step explanation:
3,2 is the answer...hope you can understand
The point which is the solution of the inequality y ≤ 2x - 4 is,
⇒ (3, 2)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
The inequality is,
⇒ y ≤ 2x - 4
Now, From the options;
Option 3;
Point = (3, 2)
Put x = 3, y = 2;
⇒ y ≤ 2x - 4
⇒ 2 ≤ 2 × 3 - 4
⇒ 2 ≤ 6 - 4
⇒ 2 ≤ 2
Thus, The point which is the solution of the inequality y ≤ 2x - 4 is,
⇒ (3, 2)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ7
Pls help will give brainiest
Answer:
2
Step-by-step explanation:
18% is what number of 63?
Answer:
[tex] 18 \%\: of \: x = 63 \\ \frac{18}{100} x = 63 \\ x = \frac{63 \times 100}{18} \\ x = 350[/tex]
350 is the right answer.Answer:
350
Step-by-step explanation:
To figure out the number, divide 63 by 18%
63/0.18 = 350
You can check by doing the opposite operation with your answer:
350 · 0.18 = 63
i’ll give you brainlest but please help answer this
Answer:
X=9
Step-by-step explanation:
X/ Y=X/Y
3/18=x/54
next is simple math
X=9
Can someone help me solve this
Answer: x=-30
Step-by-step explanation: -1/5x(-5)=6(-5) x=-30
which of these are equivalent ways of expressing -3/5 choose ALL that apply
A( -3/5
B( -3/-5
C( -3 divided by -5
D( 3/-5
E( -3 divided by 5
F( 3 divided by -5
Catron evaluates the expression (-9)(2 2/5 using the steps below
Answer:
The answer is "-21.6".
Step-by-step explanation:
In the given question, there is a mistype in the equation so, its correct equation can be defined as follows:
Given:
[tex]\to (-9) (2 \ and \ 2/5) = (-9)(2+ \frac{2}{5})[/tex]
[tex]= (-9 \times 2 )+ (-9\times \frac{2}{5})\\\\= (-18 )+ ( -\frac{18}{5})\\\\= -18 -\frac{18}{5}\\\\= \frac{-90-18}{5}\\\\= - \frac{108}{5}\\\\=- 21.6[/tex]
OR
[tex]\to (-9)(2+ \frac{2}{5})= (-9) (\frac{10+2}{5})[/tex]
[tex]= (-9) (\frac{12}{5})\\\\= (-9) (2.4)\\\\=-21.6[/tex]
Given: -3(x - 6) + 4(x + 1) = 7x - 14
Step 1: -3x + 18 + 4x + 4 = 7x - 14
Step 2: -3x + 4x + 18 + 4 = 7x - 14
Step 3: 1x + 22 = 7x - 14
Step 4: 1x - 1x + 22 = 7x - 1x - 14
Step 5: 22 = 6x - 14
I need help with this I am confused!?
Answer:
it is correct step
Step-by-step explanation:
it has no wrong in it b/c it subtract 1x from both side
A large chess tournament begins with 256 players. After each round. . half of the players remain.
I cant see the image very well. Could you explain your question?
A number that is being divided by another number is called the
Answer:
dividend
Step-by-step explanation:
Joséphine noticed that out of 10 e-mails she
of advertisements she will receive in the next100 e-mails?
evedl were
nents. WVhat can she predict about the numbe
O She will receive 7 advertisements
O She will receive 10 advertisements
O She will receive 70 advertisements
O She will receive 90 dvertise ements
Answer:
The answer is C
I did the quiz on edge
p l e a s e h e l p m me !!!
Answer:
C
Step-by-step explanation:
Answer:
i think its c
Step-by-step explanation:
i tried my hardest
Question 12 of 25
Given any triangle ABC labeled as shown, the law of sines states:
B
9514 1404 393
Answer:
A
Step-by-step explanation:
The law of sines tells you the sine of the angle is proportional to the length of the opposite side. The usual convention is that 'a' is opposite 'A', and the same for other letters.
The value of a car is $15,000 and the depreciates at a rate of 10% per year. What's the car value by the 8th year
Answer: $3,000.
Step-by-step explanation: The 10% of $15,000 is %1,500, so the value of the car drops by $1,500 each year. So, in eight years (8 years x $1,500), the value will drop by $12,000. Therefore, the price of the car in eight years will be the original amount minus the depreciating amount ($15,000 - $12,000), this will be $3,000.
5. The length of two sides of a right triangle are leg: 9
m and hypotenuse: 16 m. Find the length of the
third side. Round to the nearest tenth if necessary.
A. 28.8 m
B. 13.2 m
C. 104 m
D. 14.4 m
Answer:
B. 13.2 m
Step-by-step explanation:
Using the Pythagorean theorem, which is a^2 + b^2 = c^2, you can substitute in 9 for a and 16 for c. This puts it at 9^2 + b^2 = 16^2, which equals 81 + b^2 = 256. Subtract 81 from both sides to get b^2 = 175. Take the square root of both sides to get b = sqrt 175. The sqrt of 175 rounded to the nearest tenth is 13.2
A tennis ball is in a cylindrical container. The ball has a radius of 5 inches and the cylinder has a height of 8 inches. How much wasted space (air) is there in the container? The tennis ball touched the sides, top, and bottom of the container.) Give your answer in terms of pi. *
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
[tex]v= \pi r^2 h[/tex]
substitute our data
[tex]v= 3.142*5^2*8\\\\v=628.4in^3[/tex]
The volume of the ball
[tex]v=4/3 \pi r^3[/tex]
substitute our data
[tex]v= 4/3 *3.142*5^3\\\\v= 523.7 in^3[/tex]
The space will have a volume of
=628.4-523.7
=104.7 in^3
Brainless if answer correct
Answer:
3 1/5 inches
Step by Step Explanation:
4/5 * 4 = 16/5
16/5 as a mixed number is 3 1/5.
The answer is 3 1/5 inches hope this helps!!
Answer:
i would say 3 1/5
Step-by-step explanation
what expression means the same as subtract 3 from 7 then multiply by 4?
Answer: 3 - 7 x 4
Step-by-step explanation:
7 - 3 = 4 x 4 = 16
Find the area of this triangle.
7
19°
12
? ] square units
Round to the nearest tenth.
Answer:
area is 13.7^2
Step-by-step explanation:
7×12=84
84÷2=42
sin(19°)=0.3256
42×0.3256=13.7
Answer:
the area is 13.7^2
Step-by-step explanation:
can you please add me on brainlist
Hank has $8 in dimes and nickels. He has a total of 105 coins. How many nickels does he have?
Answer:
50 nickelsStep-by-step explanation:
Let the number of nickels be n and dimes be d.
Consider:
n = 5¢, d = 10¢, $8 = 800¢We have equations below:
d + n = 10510d + 5n = 800Multiply the first equation by 10 and subtract the second equation to eliminate d and solve for n:
10d + 10n - 10d - 5n = 1050 - 8005n = 250n = 50He has 50 nickels
evaluate 13 - 0.75y + 8x when w =12 and x=1/2
Note: I am assuming you meant to write the value of y = 12 instead of w = 12.
So, I am assuming y = 12
Answer:
The value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8
Step-by-step explanation:
Given the expression
[tex]13\:-\:0.75y\:+\:8x[/tex]
Given
y = 12x = 1/2substituting y = 12 and x = 1/2 in the expresion
[tex]13\:-\:0.75y\:+\:8x=13\:-\:0.75\left(12\right)\:+\:8\left(\frac{1}{2}\right)[/tex]
[tex]=13-0.75\cdot \:12+8\cdot \frac{1}{2}[/tex]
[tex]=13-9+4[/tex]
[tex]=8[/tex]
Therefore, the value of 13 - 0.75y + 8x when we substitute y = 12 and x = 1/2 will be: 8
what is forthy-eight thousandths as a decimal
0.048
If i am wrong let me know