Answer:
First recipe needs = 3/8
Second recipe needs = 5/8
Step-by-step explanation:
Given:
Two recipes needs butter = 1 pound
One recipe needs 1/4 pound more
Find:
Each recipe needs butter
Computation:
Assume;
First recipe needs = x
Second recipe needs = x + (1/4)
Two recipes needs butter = First recipe needs + Second recipe needs
x + x + (1/4) = 1
2 x = 1 - (1/4)
2 x = 3/4
x = 3/8 pound
First recipe needs = 3/8
Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8
Second recipe needs = 5/8
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.
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
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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[tex]\frac{r}{2}+\frac{s}{r} -\frac{r}{4}+\frac{1}{5},r=-1,s=0[/tex]
Answer:
-1/20
Step-by-step explanation:
r/2 + s/r - r/4 + 1/5 =
= -1/2 + 0/(-1) - (-1)/4 + 1/5
= -1/2 + 1/4 + 1/5
= -10/20 + 5/20 + 4/20
= -5/20 + 4/20
= -1/20
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
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
Write 5 times x to the two thirds power in radical form.
PLEASE HELP ASAP
Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability?
Answer:
Step-by-step explanation:
Were you given answer choices? If so, please share them when you post your question.
The best way to improve the experimental probability would be to flip the coin more than 20 times; the more this is done, the better the estimate will be.
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.
( 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
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
Find the midpoint of the line segment from (1,-1) to (2,4)
Answer: (1.5, 1.5)
Step-by-step explanation:
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.
Express the pair of fraction using the least common denominator of the two 3/8,7/10
Answer:
Step-by-step explanation:
3/8 x 5/5 = 15/40
7/10 x 4/4 = 28/40
15/40, 28/40
The least common denominator of the two pairs of fractions is 15/40 are 28/40. which is the correct answer would be an option (A).
What is LCD?The lowest common denominator is defined as the set of fraction denominators with the lowest common multiple. The lowest positive integer with more than one denominator in the set is LCD.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
We have to determine the least common denominator of the two pairs of fractions.
The fractions are 3/8, and 7/10
⇒ 3/8
Multiply by 5/5 in the fraction,
⇒ 3/8 × 5/5 = 15/40
⇒ 7/10
Multiply by 4/4 in the fraction,
⇒ 7/10 × 4/4 = 28/40
Therefore, the least common denominator of the two pairs of fractions is 15/40 are 28/40
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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.
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!!
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:
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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ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Answer:
Perimeter of A'B'C'D' = 9 units
Step-by-step explanation:
Given:
Perimeter of ABCD = 27 units
Scale factor = 1 / 3
Find:
Perimeter of A'B'C'D'
Computation:
Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]
Perimeter of A'B'C'D' = 1/3[27]
Perimeter of A'B'C'D' = 9 units
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]
(17-7)•6+2+56-8
Pemdas
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:
Question 4 (1 point)
Given the following definitions:
U = {1, 2, 3, 4, 5, 6, 7}
A = {1, 2, 4, 5)
B = {1, 3, 5, 7}
How many elements are in A n B?
Answer:
pretty sure its A n B = {1,5}
Step-by-step explanation:
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.
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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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
-(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]
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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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!
What is the solution for this inequality?
-10x < 40
Answer:
Step-by-step explanation:
-10x < 40
x > -4