Answer:
49
Step-by-step explanation:
area if a square: side length x side length (s^2)
7 x 7 = 49
Area of Square is 49 square feet
Area of SquareGiven that;
Side length of square = 7 feet
Find:
Area of Square
Computation:
Area of Square = Side²
Area of Square = 7²
Area of Square = 49 square feet
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You go down 9 floors in an elevator. How would you write the integer?
Answer:
-9
Step-by-step explanation:
Going down= negative
Answer:
u write negative 9
Step-by-step explanation:
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
can someone explain the quadratic formula to me.
Answer:
[See Below]
Step-by-step explanation:
Here are some pictures to help you.
The quadratic formula is shown below.
The beauty of the quadratic formula is that as long as your quadraticis in the form ax² + bx + c = 0, where a, b, and c are integers, you can go straight to the answer by simply plugging your values for a, b, and c into the quadratic formula.
It's a good idea to memorize it.
Believe me it's worth it, you'll be using it all the time.
The scores of players on a golf team are shown on the table Celia-3 Janine 3 Sami 1 Ted 4 Travis 0 The team combined score was 0. What was Travis score?
His score would have to be -5:
-3 + 3 = 0
0 + 1 = 1
1 + 4 = 5
5 + (-5) = 0
So you know that the su of all the scores is 0.
The scores in the table are cecilia -3, janine 3, sami 1 and ted 4 and travis x, where x is the number that we want to know.
if we sum those, we have : 3 - 3 + 4 + 1 + x = 0
and we get 5 + x = 0
then x= -5, so travis's score is -5 points.
A jug has a maximum capacity of 4 liters. It's filled to 85% of its capacity, and then poured out at a rate of 25 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after x seconds?
Answer: W(x) = 3.4 L - (25/1000)(L/s)*x
Step-by-step explanation:
The maximum of the jug is 4 L.
now, the jug is 85% filled, then the amount of water in the jug is:
(85%/100%)*4L = 0.85*4L = 3.4L
Now, we pour 25 mL each second, so we could write a linear equation as:
W(x) = 3.4L - (25ml/s)*x
where x is the number of seconds that passed since the beginning,
But we want to write this in Liters, we have that:
1L = 1000mL.
Then 1mL = (1/1000) L
then we can write 25 mL as:
25m L = 25*(1/1000) L = (25/1000) L.
Then we can write the equation as
W(x) = 3.4 L - (25/1000)(L/s)*x
which is the amount of water remaining in the jug after x seconds.
7. Which of the following is true?
1. For a pair of functions to be inverses, their compositions must be equal to 1.
2. In an inverse relation, coordinates of the ordered pairs are multiplied by 2.
3. An inverse of a function is always a function.
4. The horizontal line test is used to determine if a function's inverse will be a function.
Answer:
The horizontal line test is used to determine if a functions inverse will be a function. You will compose the functions (that is, plug x into one function, plug that function into the inverse function, and then simplify) and verify that you end up with just "x". Here's what it looks like: Determine algebraically whether f (x) = 3x – 2 and g(x) = (x + 2)/3 are inverses of each other.
Use the horizontal line test to determine if a function is a one-to-one function.
If ANY horizontal line intersects your original function in ONLY ONE location, your function will be a one-to-one function and its inverse will also be a function.
hope this helps
The horizontal line test is used to determine if a function's inverse will be a function is true. Correct option is 4.
1. This statement is not true. For a pair of functions to be inverses, their compositions (f(g(x)) and g(f(x))) must result in the identity function (1) for all values of x, not just for a specific value.
2. This statement is not true. In an inverse relation, the coordinates of the ordered pairs are swapped (x becomes y and y becomes x), not multiplied by 2.
3. This statement is not true. While many functions have inverses that are also functions, it is not a universal rule. Some functions may not have an inverse that is a function.
4. This statement is true. The horizontal line test is used to determine if a function has an inverse that is also a function. If a horizontal line intersects the graph of the function at more than one point, then the function does not have an inverse that is a function. However, if every horizontal line intersects the graph at most once, then the function does have an inverse that is a function.
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if you record a lower temperature than the actual value, how would that affect the calculated value of R
Answer:
the calculated value of R would be incorrect and it would be greater than the actual value
Step-by-step explanation:
From the general gas equation,
We have a mole of gas as
PV =nRT
We will have to make R the subject of the formula
So we divide through by nT
R = PV/nT
So we have an inverse proportion between R and absolute temperature.
So when we record a lower temperature than what the actual temperature should be, R is going to be affected such that the wrongly calculated value of R would be more than the actual value.
the ratio of peanuts to raisins in a snack mix is 5:4. A bag of the snack mix contains 200 peanuts. How many raisins are in the bag?
Number of raisins in the bag is 160 raisins
Given that;
Ratio of peanuts to raisins = 5:4
Bag of the snack mix contains = 200 peanuts
Find:
Number of raisins in the bag
Computation:
Number of raisins in the bag = 4[200/5]
Number of raisins in the bag = 4[40]
Number of raisins in the bag = 160 raisins
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Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments parallel?
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
For K = 5.3, the line segments are parallel.
We have endpoints of segment MN have coordinates (0, 0), (5, 1) and endpoints of segment AB have coordinates (1 1/2 , 2 1/4 ) and (−2 1/4 , k).
We have to determine the value of k that makes these segments parallel.
What is the condition for the lines to be parallel?For lines to be parallel - slope of line 1 should be equal to slope of line 2.
m(1) = m(2)
According to question, we have -
Coordinates of M = (0, 0)
Coordinates of N = (5, 1)
Therefore, the slope of line MN = [tex]\frac{1 -0}{5-0}[/tex] = 1/5
Coordinates of A = (11/2, 21/4)
Coordinates of B = (-21/4, k)
Therefore, the slope of line AB =
[tex]$\frac{k -\frac{21}{4} }{\frac{-21}{4} -\frac{11}{2} }[/tex] = [tex]$\frac{k - \frac{21}{4} }{\frac{1}{4} }[/tex] = [tex]$\frac{\frac{4k - 21}{4} }{\frac{1}{4} }[/tex] = 4k -21
Now, for the lines to be parallel -
m(MN) = M(AB)
4k - 21 = [tex]\frac{1}{5}[/tex]
5(4k - 21) = 1
20k - 105 = 1
20k = 106
k = 5.3
Hence, for K = 5.3, the line segments are parallel.
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find sin60 A.1/2 B.2/2 C.3/2
Answer: [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
To find sin(60), you need to know the unit circle. Sin(60) is the same as sin(π/3). On the unit circle, sin(π/3) is √3/2. We know this because the coordinates are (cos, sin). Sin is the y coordinate.
Answer:
[tex]\huge\boxed{\sin60^o=\dfrac{\sqrt3}{2}}[/tex]
Step-by-step explanation:
Let's take a right triangle with acute angles 30° and 60°.
We know that the ratio of the sides of such a triangle is 2 : 1 : √3
(look at the picture)
We know:
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
In this triangle we have:
[tex]opposite=a\sqrt3\\hypotenuse=2a[/tex]
Substitute:
[tex]\sin60^o=\dfrac{a\sqrt3}{2a}[/tex] cancel a
[tex]\sin60^o=\dfrac{\sqrt3}{2}[/tex]
how do you a shade a venn diagram of B-A
Don't shade the part A and the part between A and B. Shade the B part only.
Write 5 times x to the two thirds power in radical form.
PLEASE ANSWER QUICK!Kierran is trying to find the circumference of a circle. He knows that the radius (r) of the circle is 6 feet and that the diameter, d=2r. Which formula should he use?
A) A=3.14(2r)^2
B) C=3.14(2r)
C) A=3.14d^3
D) C=3.14(2D)
Answer:
B) C=3.14(2r)
Step-by-step explanation:
Circumference of a circle= 2πr
radius=6 feet
Diameter= 2r
=2*6
=12 feet
π= 3.14
C= 2πr
= 2 * 3.14 * r
= 3.14 * 2 * r
C= 3.14 (2r)
Kierran should use the formula C= 3.14 (2r) to find the circumstance of the circle
Option B is the correct answer
C= 3.14 (2r)
= 3.14 * 2 * 6
= 37.68 eet
: What is the volume of this triangular right prism?
6.5 ft
6 ft-
11 ft
5 ft
Answer:
[tex] Volume_{Prism} = 165 ft^3 [/tex]
Step-by-step explanation:
Volume of triangular prism is given as base area * height of prism
Base area = area of triangle = ½*base of the traingle*height of the traingle
Base area = 5 ft * 6 ft = 30 ft²
Height of prism = 11 ft
Volume of the prism = [tex] \frac{1}{2}*30*11 [/tex]
[tex] Volume_{Prism} = 15*11 [/tex]
[tex] Volume_{Prism} = 165 ft^3 [/tex]
Determine the value of c so that f(x) is continuous on the entire real line when
f(x) = {x + 3 x less than or equal to -1 2x - c x > -1.
a. -4.
b. 4.
c. 0.
d. -1.
e. none of these.
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
The value of 'c' is -4 and this can be determined by using the concept of continuous function and arithmetic operations.
Given :
f(x) is continuous on the entire real line when c f(x) = x + 3 for [tex]x \leq -1[/tex], 2x - c for x > -1.
Remember for a continuous function, the left-hand limit is equal to the right-hand limit. So, determine the left-hand and right-hand limit.
The left-hand limit is calculated as:
f(-1) = (-1) + 3
f(-1) = 2 --- (1)
The right-hand limit is calculated as:
f(-1) = 2(-1) - c
f(-1) = -2 - c --- (2)
Now, equate both the expression (1) and (2).
2 = -2 - c
c = -4
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Prove the following using a direct proof. Your proof should be expressed in com-plete English sentences.
If a, b, and c are integers such that b is a multiple of a3 and c is a multiple of b2, then c is a multiple of a6.
Answer:
Proved
Step-by-step explanation:
Given
Integers: a, b, c
Required
Show that c is a multiple of a⁶
First, we need to list out the multiples of a³
[tex]a^3 -> a^3, a^6, a^9, a^{12}...[/tex]
Since b is a multiple of a³, then b can be any of the listed multiples
Next, is to list out the multiples of b²
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
Since c is a multiple of b², then c can be any of the listed multiples
To list out the multiples of a⁶, we have to get the common multiples of a³ and b² in terms of a
Substitute a³ for b in
[tex]b^2 -> b^2,b^4,b^6,b^8,b^{10}....[/tex]
[tex](a^3)^2 -> (a^3)^2,(a^3)^4,(a^3)^6,(a^3)^8,(a^3)^{10}....[/tex]
[tex]a^6 -> a^6,a^{12},a^{18},a^{24},a^{30}....[/tex]
Recall that c is a multiple of b²
From the above listed multiples, we have a⁶ listed as one of the multiple; Hence, c is a multiple of a⁶
Yes C should be multiple of [tex]a^6[/tex]
Calculation of the multiple:Since it is mentioned that b should be the multiple of [tex]a^3[/tex]
So,
[tex]b = a^3R[/tex] here some integer should be R
And, the c should be multiple of [tex]b^2[/tex]
So,
[tex]C = b^2 r[/tex] for some integer r
Now we have to substitute the value of b from the first equation
i.e.
[tex]C = (a^3R)^2r = a^6 (R^2r)[/tex]
Here [tex]R^2r[/tex] is some integer
so,
[tex]C = a^6R'[/tex]
Therefore, we can say that Yes C should be multiple of [tex]a^6[/tex]
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Question 1 of 10
Sam studied the effects of exercise on short-term memory. Which of these is
a response variable?
A. Exercise
B. Short-term memory
C. Neither exercise nor short-term memory
O D. Both exercise and short-term memory
Answer:
B. Short-term memory
Step-by-step explanation:
Response variable is a dependent variable. It is dependent on the explanatory variable that is referred to as the independent variable.
In research study, the response variable is what is usually measured by the researcher. In the case given above, short-term memory is the response variable, which is dependent on exercise.
Is 10 greater than 10.01 or less than
Step-by-step explanation:
10 is less than 10.01
10.01-10=0.01
10 is 0.01 less than 10.01
So, 10 is less than 10.01.
Hope it helps you!!
What is the solution for this inequality?
-10x < 40
Answer:
Step-by-step explanation:
-10x < 40
x > -4
Mrs. Phillips ordered 56 sub sandwiches for a team meal, and 2/7 of them were ham. how many of the sandwiches were ham?
Answer:
16
Step-by-step explanation:
Take the total number of sandwiches and multiply the fraction that were ham
56 * 2/7
56/7 *2
8 *2
16
16 sandwiches were ham
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
( 5n 3 + n 4 - 5 ) - ( -5 - 6n 3 - 4n 4 )
Simplify the expression.
53 n
Answer:
The simplified solution to this expression is 5n⁴ + 11n³
Step-by-step explanation:
(5n³ + n⁴ - 5) - (-5 - 6n³ - 4n⁴)
Distribute the negative sign to (-5 - 6n³ - 4n⁴)
5n³ + n⁴ - 5 + 5 + 6n³ + 4n⁴
Group like terms.
(4n⁴ + n⁴) + (6n³ + 5n³) + (-5 + 5)
Combine like terms.
5n⁴ + 11n³
Jan spent $99.99 for a comforter set, $12.99 for pillows, and $36.98 for towels. How much total did she
spend?
O $136.97
O $50.06
O $149.96
O $112.94
O $155.96
Answer:
$149.96
Step-by-step explanation:
99.99+12.99+36.98=149.96
Total=$149.96
3. Ann wants to paste 18 posters on her bedroom wall. She wants to put the same
number of posters in each row. How many rows could Ann make, 4.5, 9 or 10?
Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
(17-7)•6+2+56-8
Pemdas
-(x+2)+6. anyone know how to solve it?
idk
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{-x+4}[/tex]
Step-by-step explanation:
[tex]-(x+2)+6[/tex]
Distributing the negative sign to the terms in the bracket.
[tex]-x-2+6[/tex]
Combining like terms.
[tex]-x+4[/tex]
If a dozen paper clips weighs 9.6 g, and a pile of paper clips weigh 14.4 g, how many paper clips are in the pile
Answer:
18 paperclips are in the pile!
Step-by-step explanation:
We know that a dozen paperclips are equal to 9.6g, so we are going to divide 9.6 by 12 to figure out how much each paperclip weighs (0.8g). So we then divide 14.4 by 0.8 to figure out how many paperclips are in the pile! Hope this helps!
Hi. I'm needing help with Graphing refelctions across the Y-Axis. f(x) = 1.5(0.5)
Answer:
g(x) is the reflection of f(x) over the y-axis.
hope it helps
Answer:
step 1: g(x) = 1.5(0.5)^-x
step 2: g(0) = 1.5
step 3: plot points on graph
step 4: g(1) = 3 g(-1) = .75
step 5: Plot the points
step 6: y=0
step 7: The smooth curve includes these points
Step-by-step explanation:
Just took this on edge 2021
find the probability of Rolling a number greater than or equal to 4 on a standard die
Answer:
P(E)=1/2
Step-by-step explanation:
Total numbers=6
Numbers greater than or equal to 4= 3(4,5,6)
P(E)= favourable outcomes/total outcomes
P(E)=3/6
=1/2
Answer:
4/6
Step-by-step explanation:
probability of rolling a num greater than or equal to 4 = 4/6
=2/3
Donald has 456 marbles. Joe has 987 marbles. How many more marbles does Joe have?
Answer:
531
Start off by subtracting.
Joe = 987 marbles
Donald = 456 marbles.
987 - 456 = 531.
So that is your answer. Hope it helps!
Answer:
agree with previos answer
Step-by-step explanation:
The base of o rectangle is triple the height
The height is 35 What is the base?
Write a algebraic expression and evaluate
Answer:
105 units
Step-by-step explanation:
Height of rectangle = 35 units
Since, base of o rectangle is triple the height.
Therefore, base of rectangle = 3*35 = 105 units
Another way:
h = 35 (given)
b = 3h
b = 3*35 (Plug h = 35)
b = 105 units