Answer:
7
Step-by-step explanation:
Let the each leg be x so,
√(x²+x²)=√98
or, √(2x²)=√98
or, x√2=7√2
or, x=7
find the surface area of the prism.
Step-by-step explanation:
area of the base is the area of the rectangle 5×12.
B = 5×12 = 60 in²
the height h is then the side going up from that base rectangle : 4 in.
the perimeter of the base (rectangle) is 2×length + 2×width
P = 2×12 + 2×5 = 24 + 10 = 34 in.
y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)
Answer:
y = 4.8
Step-by-step explanation:
Given that y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k}{x^2}[/tex] ← k is the constant of proportion
To find k use the condition when x = 4, y = 7.5 , then
7.5 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )
k = 16 × 7.5 = 120
y = [tex]\frac{120}{x^2}[/tex] ← equation of proportion
When x = 5 , then
y = [tex]\frac{120}{5^2}[/tex] = [tex]\frac{120}{25}[/tex] = 4.8
What is the quotient ? -4 /5 divide 2 A . - 1 3/5 B . -2 /5 c. 1/2 D . 1 3/ 5
Answer:
[tex] \boxed{ - \frac{2}{5} }[/tex]Option B is the correct option.
Step-by-step explanation:
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: a \: negative \: and \: a \: positive \: equals \: a \: negative \:. \: ( - ) \div ( + ) = ( - )}[/tex]
[tex] \mathrm{ - \frac{4}{5} \div 2}[/tex]
[tex] \mathrm{dividing \: is \: equivalent \: to \: multiplying \: with \: the \: reciprocal}[/tex]
[tex] \mathrm{ - \frac{4}{5} \times \frac{1}{2} }[/tex]
[tex] \mathrm{reduce \: the \: numbers \: with \: G.C.F \: 2}[/tex]
[tex] \mathrm{ - \frac{2}{5} }[/tex]
Hope I helped!
Best regards!
The quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
What are the Quotients?Quotients are the number that is obtained by dividing one number by another number. We can use the fact that division can be taken as multiplication but with the denominator's multiplicative inverse.
We have been given that -4 /5 divide 2
Thus, we have to divide the terms as;
-4 /5 ÷ 2
Therefore, -4 /5 x 1/ 2
-2/5
Hence, the quotient of -4 /5 divide 2 would be equal to -2/5 in simplified form.
Learn more about the quotient;
brainly.com/question/26913992
#SPJ2
(a/b)^x-1 = (b/a)^x-3
Answer:
x = 2
Step-by-step explanation:
9.
For which discriminant is the graph possible?
A. b2 – 4ac = 3
B. b2 – 4ac = –4
C. b2 – 4ac = 0
Answer:
C. b2 – 4ac = 0
Step-by-step explanation:
can i please have help please?? Is 32,120 equal to 3.212×10 to the 4 power?
Answer:
Yes
Step-by-step explanation:
3.212 x 10^4
=> 3.212 x 10000
=> 32.12 x 1000
=> 321.2 x 100
=> 3212 x 10
=> 32120 x 1
=> 32120
Answer:
Yes
Step-by-step explanation:
In scientific notation, the power is the number of times you move the decimal place to the right.
3.212 x 10^4 is equivalent to 32,120 when you move the decimal place 4 times to the right.
So, 32,120 is equivalent to 3.212 x 10^4
please see the photo and answer the quastion
Answer:
A.
Step-by-step explanation:
I used a graphing calculator to check
Answer:
A
f(x)=(x+2)/(x+1)
which phrase matches the algebraic expression bellow? 2(x+7)+10
Answer:
i think your answer is two times the sum of x and seven plus ten
if i am wrong than tell me
Step-by-step explanation:
hope this will help :)
Simplify.
2(x+2) - 4x
Answer:
-2x+4
Step-by-step explanation:
2(x+2) - 4x
Distribute
2x+4 - 4x
Combine like terms
-2x+4
Answer:
-2x+4
Step-by-step explanation:
2(x+2)-4x
(2x+4)-4x
2x+4-4x
-2x+4
Write the event as set of outcomes. When we roll two dice, the total showing is eight.
A. {(2, 6), (3, 5), (4, 4), (5, 3), (6, 2)}
B. {(2, 6), (3, 5), (4, 4)}
C. {(2, 6), (3, 5), (5, 3), (6, 2)}
D. {(1, 7), (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), (7, 1)}
Explanation:
We simply list each possible choice in the form (x,y) where x is the result of the first die and y is the result of the second die.
The sum must be 8 so x+y = 8.
Choice A is the complete list showing all possible sums of 8.
Choice B is missing (5,3) and (6,2).
Choice C is missing (4,4)
Choice D shows (1,7), but 7 isn't a valid roll of a six-sided die.
The average month end closing stock price for Company A over the past year is $34.57 with a standard deviation of $4.65. The average month end closing stock price for Company B over the same period is $26.15 with a standard deviation of $7.45. Based on this data, we can conclude that the stock price for Company A is more consistent when compared to the stock price for Company B.
a) true
b) false
Answer:
a) true
Step-by-step explanation:
$4.65. >$7.45.
Let ε = {5,6,7,8,9}, A = {x | x >7} and B = {5,6} Find
1. P(A’)
2. P(A) U P(B)
3. P(A) ∩ P(B)
4. P(A ∩ B)
Answer:
A={x| x>7} = 8,9
B= {5,6}
1,
2,{5,6,8,9}
3,{}
4{}
Factor - 3x - 28
ax² + bxtc
Identify the values that should be written to
complete the X diagram.
On the top:
On the bottom:
On the sides
ас
Rewrite the expression using the numbers on the
sides of the X diagram.
Use double grouping to factor the four terms.
x2 – 3x – 28
x2 – 3x – 28 = (x-7)(x+4)
Answer:
On the top:-28
On the bottom: -3
On the sides: -7 and 4
X2-3x-28=(x-7)(x+4)
Step-by-step explanation: I got it correct on Edge
Help me out please i need this
Answer:
Just restart your computer
Colin found 22 more mushrooms than Sophie did while they were out picking them in the forest. On the way home, Sophie asked Colin to give her some mushrooms so that they would have equal amounts. How many mushrooms should Colin give to Sophie?
Answer:
11 mushrooms
Step-by-step explanation:
If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.
Combine your expressions from part E (x+2) and part F (y+ (-4) to give the pair of coordinates of any point after a translation two yards East and four yards south.
Answer:
A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)
Step-by-step explanation:
A transformation is the movement of a point from its initial position to a final position. If an object is transformed all its points are also transformed. Types of transformation are reflection, rotation, translation and dilation.
If a point O(x, y) is translated left by h unit, the new coordinate is O'(x-h, y) while if O(x, y) is translated right by h unit the new coordinate is O'(x+h, y)
If a point O(x, y) is translated up by h unit, the new coordinate is O'(x, y+h) while if O(x, y) is translated down by h unit the new coordinate is O'(x, y-h)
The location of the shape as shown in the diagram is:
A(3, 6), B(3, 3), C(4, 3), D(4, 6)
If the points are translated two yards East and four yards south, it means it is translated 2 unit right and 4 unit down i.e. (x+2, y-4). The new coordinates are:
A'(5, 2), B'(5, -1), C'(6, -1), D'(6, 2)
Answer:
ombining the expressions from parts E and F, for any given initial point (x, y), the coordinates of the new point after a translation of two yards east and four yards south are (x + 2, y + (-4)).
Step-by-step explanation:
this is more simple
Simplify to create an equivalent expression. 8-4(-x+5)
Answer:= -12+4x
Step-by-step explanation:
Distribute -4 through the parentheses
8+4x=20
Calculate the difference
-12+4x
how many are 9 raised to 2 ???
Answer:
[tex]\boxed{81}[/tex]
Step-by-step explanation:
9 raised to 2 is
=> [tex]9^2[/tex]
=> 9 * 9
=> 81
The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i and Z2=4+5i, find Z3
Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is [tex]5+ 8i[/tex]
Given that:
[tex]Z_1 = 1 + 3i[/tex]
[tex]Z_2 = 4 + 5i[/tex]
Since O is the origin, then:
[tex]C = OA + OB[/tex]
This means that:
[tex]Z_3 = Z_1 + Z_2[/tex]
So, we have:
[tex]Z_3 = 1 + 3i + 4 + 5i[/tex]
Collect like terms
[tex]Z_3 = 1 + 4+ 3i + 5i[/tex]
[tex]Z_3 = 5+ 8i[/tex]
Hence, complex number Z3 is [tex]5+ 8i[/tex]
Read more about complex numbers at:
https://brainly.com/question/18509723
Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21
Answer:
13
Step-by-step explanation:
From the question, we are given a triangle HNK with an angle of 90°
The length of hypotenuse H K is n,
the length of HN is 12
the length of N K is 6.
From the above values, obtained in the question, we can see that this is a right angled triangle.
We are asked to find the length of the hypotenuse.
We can use Pythagoras Theorem of solve for this.
c² = a² + b²
where c = HK = n
a = NK = 6
b = HN = 12
c² = 6² + 12²
c² = 36 + 144
c² = 180
c = √180
c = 13.416407865
Approximately to the nearest whole number = 13
Therefore the value of HK = n = 13
We can also use Law of Cosines as given in the question to solve for this.
a² = b² + c² - 2ac × Cos A
where c = HK = n
a = NK = 6
b = HN = 12
Hence
c² = a² + b² - 2ab × Cos C
c = √ (a² + b² - 2ab × Cos C)
Where C = 90
c = √ 6² + 12² - 2 × 6 × 12 × Cos 90
c = 13.42
Approximately to the nearest whole number ≈ 13
Therefore the value of HK = n = 13
Answer:
B) 22 units
Step-by-step explanation:
edge 2020 :)
which stystem of inequalities is graphed below
Step-by-step explanation:
It's answer D.
THe original plot of x^2 has it top point in the (0,0) so in the centre of the system.
There is a coloured surface just inside the first plot x^2 -4 and also just inside the second one x^2 +6
2. Which of the following number is divisible by 6?
O. A. 672
O B. 813
O C. 7312
O D. 1234
Answer:
A - 672
Step-by-step explanation:
Any number divisible by both 3 and 2 is divisible by 6.
10 points :) Graph this for me :P
Answer:
-2≤x≤2 f(x)=[x+3]
first the sign is ≤ it means the point is solid point and the interval is x+3
is 1 whole 1 by 3 considered as an integer??
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
HELP PLEASE!!! What is the vertex of the parabola generated by the function
f (x) = 2x^2 - 4x + 3 ?
Answer:
VERTEX: (1,1) Directrix: Y=0.88
Step-by-step explanation:
Answer:
vertex = (1, 1 )
Step-by-step explanation:
Given the equation of a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² - 4x + 3 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into f(x) for corresponding y- coordinate of vertex
f(1) = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
vertex = (1, 1 )
ACME Hardware is introducing a new product called Greener Cleaner. Complete the table by finding the cost per milliliter for each size based on the sales price. One liter is 1,000 milliliters. (Answer the questions too, please!)
Answer:
Step-by-step explanation:
a). 'Per ml' cost of the small size = [tex]\frac{\text{Sale price of small cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{4.50}{250}[/tex]
= $0.018
'Per ml' cost of the medium size = [tex]\frac{\text{Sale price of medium cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{9.95}{500}[/tex]
= $0.0199
'Per ml' cost of the large size = [tex]\frac{\text{Sale price of large cane}}{\text{Amount of liquid}}[/tex]
= [tex]\frac{16.95}{1000}[/tex]
= $0.01695
Therefore, expression to compare per ml cost of three containers will be,
$0.0199 > $0.018 > $0.01695
b). Least expensive way to buy the cleaner is to choose the container with least per ml cost.
Cost of 1500 ml cleaner = Cost of 1000 ml cleaner + Cost of 500 ml of cleaner
= Cost of 1000 ml cleaner container + Cost of 'n' containers of 250 ml container
Total cost of 1500 ml = $16.95 + $4.50n
= 16.95 + 2(4.5) [For n = 2]
= $25.95
c). Most expensive way to purchase 1500 ml cleaner is to choose the most expensive cleaners
Cost of 1500 ml cleaner = Cost of 'n' containers of medium size containers
= 9.95(n)
= 9.95(3)
= $29.85
The temperature at 9:00 a.m. was 4°C. At 7:00 p.m., the temperature
was -12°C. What was the change in temperature (in degrees Celsius)?
�� 8-degree decrease
�� 16-degree decrease
�� 8-degree increase
�� 16-degree increase
Answer:
16-degree decrease
Step-by-step explanation:
Take the final temperature of -12 and subtract the initial temperature of 4
-12 - 4
-16
The change in temperature is 16 degrees
The minus sign tells us it was a decrease
Answer:
i think 16 degree decrease
Step-by-step explanation:
sorry if im wrong i tried to help
Watch help video
Which value of x satisfies the equation
Answer:
-1
Step-by-step explanation:
1.25(x+1.5)=0.625
(x+1.5)=0.5
x=-1
If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)
- range of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the domain of g(x)
-domain of f(x) is the same as the range of g(x)
- range of f(x) is the same as the range of g(x)
Answer: assuming g(x) is the inverse of f(x)
domain of g(x) = range of f(x)
range of g(x) = domain of f(x)
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Step-by-step explanation:
hope this helps to u......