Answer:
She used 1.695 kg of flour.
Step-by-step explanation:
2.64 – 0.945 = 1.695 She used 1.695 kg of flour.
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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The sum of 9 times a number and 8 is 3
Answer: 9n+8=3
Step-by-step explanation:
Let's break this down
"sum" refers to addition so we must be adding 9 times a number and 8
So far we have "9 times a number + 8"
We can use the variable, n to represent "a number"
Now we have "9 times n +8"
"times" refers to multiplication, so we should multiply 9 and n
Now we have "9n+8"
"is 3" simply means that this will equal 3
So now we have the equation 9n+8=3
A surveyor wants to find the height of a tower used to transmit cellular phone calls. he stands 120 ft away from the tower and measure the angle of evolution to be 40° . how tall is the Tower?
EXPLANATION
Let's represent the situation on a graph:
Let's call x to the height of the tower.
The height of the tower is given by the following trigonometric relationship:
\(\text{tangent 40}=\frac{opposite\text{ cathetus}}{\text{adjacent cathetus}}\)Replacing terms:
\(\text{tangent 40 = }\frac{x}{120}\)Multiplying 120 to both sides:
\(120\cdot tangent\text{ 40 = x}\)Solving the argument:
\(120\cdot0.72=\text{ x}\)Multiplying numbers:
\(120\cdot0.72=86.4\text{ ft}\)The tower is 86.4 ft tall
Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
Need help!! with this question please
The statement true for A, C and E is the second statement r → p ∨ q.
What is Truth Table?.Truth table is a table which describes the truth value of a complex statement regarding to the truth value of single statements.
Given is a truth table.
Consider r → p ∨ q, for the statements A, C and E.
For A, p is true and q is true, then p ∨ q is true. So r is true.
For C, p is true and q is false, then p ∨ q is true. So r is true.
For E, p is false and q is true, then p ∨ q is true. So r is true.
Hence the correct statement is r → p ∨ q.
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Determine the surface area and volume. Note: The base is a square.
Answer:
volume=60cm3, surface area=96cm2
Step-by-step explanation:
volume=1/3×(6×6)×5
=60cm3
surface area= 4(1/2×6×5)+(6×6)
=96cm2
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
Seven students were surveyed on the number of hours of TV they watch each week. The results are shown below.
8, 12, 13, 15, 16, 17, 17
What is the mode of the data set?
7
14
15
17
find the eighth term of the sequence 1/3, -1, 3, -9, ..
Answer:
-729
Step-by-step explanation:
sequence is to multiply by -3 to get next term
In 1997, the American Diabetes Association (ADA) and the federal government lowered the standard for diagnosing diabetes from a fasting blood glucose level of 140 mg/dL to 126 mg/dL.7. What is the proportion of people who are considered have diabetes and they were not considered have diabetes before 1997
Answer:
10 percent
Step-by-step explanation:
- Before 1997, people with a minimum FBGL of 140mg/dl were diagnosed as diabetic
- After 1997, people with a minimum FBGL of 126mg/dl were diagnosed as diabetic
- What is the proportion of people who were not considered diabetic before 1997 but are now considered diabetic (after 1997)?
140 - 126 = 14
In percentage, this proportion is = 14/140 × 100
= 10%
Hence, 10% of the people who were not considered diabetic before 1997 are now or will now be considered diabetic.
Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken. a) What is the expected value, standard deviation, and shape of the sampling distribution of the sample mean
Answer and Step-by-step explanation:
According to the situation the solution is shown below:-
The expected value is
\(\mu = 5\)
The standard deviation is
= $3
The sample distribution of the sample standard deviation is
\(\sigma_x = \frac{\sigma}{\sqrt{n} } \\\\ = \frac{3}{\sqrt{36} } \\\\ = \frac{3}{6}\)
After solving the above equation we will get
= 0.5
Basically we applied the applied formula so that each part could be determined
Which statement is true about the function f(x) = 6x7?
The function is even because f(–x) = f(x).
The function is odd because f(–x) = –f(x).
The function is odd because f(–x) = f(x).
The function is even because f(–x) = –f(x).
Answer: The function is odd because f(–x) = –f(x).
Step-by-step explanation:
\(f(x)=6x^7\\\\f(-x)=6(-x)^7 = -6x^7\\\\\therefore f(x)=-f(-x)\)
The function is odd because f(–x) = –f(x).
How to determine the true statement?The function is given as:
f(x) = 6x^7
A function is odd if the following is true
f(-x) = -f(x)
Calculate f(-x)
f(-x) = 6(-x)^7
f(-x) = -6x^7
Calculate -f(x)
-f(x) = -6x^7
By comparison;
f(-x) = -f(x) = -6x^7
Hence, the function is odd because f(–x) = –f(x).
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A garden is to designed with a rectangular part in the middle with two semi-circles on the ends.
The dimensions of the rectangular portion are 18.4 feet long and 8.6 feet wide.
a) What is the area of one semi-circle at one end?
b) What is the area of the garden?
c) Find the area in square metres.
Given statement solution is :- a) The area of one semi-circle at one end is 58.09 square feet.
b) The area of the garden is 274.42 square feet.
c) The area in square metres is approximately 58.09 square feet.
The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.
Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.
Now we can calculate the area of the semi-circle:
A = (π * 4.3²) / 2
A ≈ 58.09 square feet
b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.
Area of the rectangular portion = length * width
Area of the rectangular portion = 18.4 feet * 8.6 feet
Area of the rectangular portion ≈ 158.24 square feet
Area of the two semi-circles = 2 * (area of one semi-circle)
Area of the two semi-circles ≈ 2 * 58.09 square feet
Area of the two semi-circles ≈ 116.18 square feet
Total area of the garden = area of the rectangular portion + area of the two semi-circles
Total area of the garden ≈ 158.24 square feet + 116.18 square feet
Total area of the garden ≈ 274.42 square feet
c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.
Area in square meters = Total area of the garden * (0.3048)²
Area in square meters ≈ 274.42 square feet * 0.3048²
Area in square meters ≈ 25.49 square meters
Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.
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.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
Consider the following graph of an exponential function.
Answer:
A= All are real numbers
B=y>-2
c= the graph is not increasing
d= the graph is decreasing for all real numbers of x
none for both
Step-by-step explanation:
A= All are real numbers
B=y>-2
c= the graph is not increasing
d= the graph is decreasing for all real numbers of x
none for both
PLEASE HELP DUE IN 1 HOUR
The 3rd and 4th expressions cannot be simplified using the quotient rule for exponents
How to determine expressions that cannot be simplified using the quotient rule for exponents?The quotient rule for exponents states that if you have two exponents, and you want to divide them, you can do so by subtracting the exponent of the denominator from the exponent of the numerator.
The general form of the quotient rule:
xᵃ / xᵇ = xᵃ⁻ᵇ
Given:
(3²9⁻¹2³)/(8⁵7⁻²)
(3²9⁻¹2³)/(8⁵7⁻²) = (3² × 3²⁽⁻¹⁾ × 2³)/(8⁵×7⁻²)
= (3² × 3⁻² × 2³)/(2³⁽⁵⁾ ×7⁻²)
= (3²⁺⁽⁻²⁾ × 2³)/(2¹⁵ × 7⁻²)
= (3⁰ × 2³)/(2¹⁵ × 7⁻²)
= (1 × 2³)/(2¹⁵ × 7⁻²)
= (2³)/(2¹⁵ × 7⁻²)
= 2³⁻¹⁵ × 7² ( quotient rule is used here)
= (2⁻¹²) (7²)
(4⁻²x⁻¹)/(4⁻¹x⁻²)
(4⁻²x⁻¹)/(4⁻¹x⁻²) = 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾ ( quotient rule is used here)
= 4⁻²⁻⁽⁻¹⁾ × x⁻¹⁻⁽⁻²⁾
= (4⁻¹) (x¹)
(6x⁻⁸z²)(6⁵x⁻¹z²)
(quotient rule cannot be used to simplify this expression because the two expressions are multiplying each other)
(q⁻⁵r¹¹)/(s⁶t⁻¹⁵)
(quotient rule cannot be used here because there are no like bases)
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Solve the following equation by factoring:9x^2-3x-2=0
Answer:
The two roots of the quadratic equation are
\(x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}\)
Step-by-step explanation:
Original quadratic equation is \(9x^{2}-3x-2=0\)
Divide both sides by 9:
\(x^{2} - \frac{x}{3} - \frac{2}{9}=0\)
Add \(\frac{2}{9}\) to both sides to get rid of the constant on the LHS
\(x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}\) ==> \(x^{2} - \frac{x}{3}=\frac{2}{9}\)
Add \(\frac{1}{36}\) to both sides
\(x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}\)
This simplifies to
\(x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}\)
Noting that (a + b)² = a² + 2ab + b²
If we set a = x and b = \(\frac{1}{6}\right)\) we can see that
\(\left(x - \frac{1}{6}\right)^2\) = \(x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}\)
So
\(\left(x - \frac{1}{6}\right)^2=\frac{1}{4}\)
Taking square roots on both sides
\(\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}\)
So the two roots or solutions of the equation are
\(x - \frac{1}{6}=-\sqrt{\frac{1}{4}}\) and \(x - \frac{1}{6}=\sqrt{\frac{1}{4}}\)
\(\sqrt{\frac{1}{4}} = \frac{1}{2}\)
So the two roots are
\(x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}\)
and
\(x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}\)
How many 1/4 pieces can you cut if a string is 15 ft long
Answer:
60
Step-by-step explanation:
you simply do 15 ÷ .25, which you will get 60.
Answer:
60 1/4 pieces
Step-by-step explanation:
Multiply 15 x 1/4 = 60 pieces
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
m = 2 b = 10
y = 2x + 10
Positive Slope
Step-by-step explanation:
After a hailstorm, a large car dealership wants to determine the proportion of cars that have damage. The service
department randomly selects 50 cars on the dealership lot, examines them, and finds that 11 cars have damage.
They want to construct a 99% confidence interval for the true proportion of cars with damage from the storm. Are
the conditions for inference met?
O Yes, the conditions for inference are met.
O No, the 10% condition is not met.
No, the randomness condition is not met.
No, the Large Counts Condition is not met.
Answer:
A, yes the conditions for inference are met
Step-by-step explanation:
I got the question right so it's right
If f(x) = 6x − 5 and f(5a) = 73, then what is the value of a?
Answer:
a =13/5
Step-by-step explanation:
f(x) = 6x − 5
f(5a) = 6*5a − 5=73
30a -5 = 73
Add 5 to each side
30a -5+5 = 73+5
30a =78
Divide by 30
30a/30 = 78/30
a =13/5
Help me plz need the steps
In Figure 7 (open photo), GH is a diameter of the circle. What is
x² + y² ?
A)58
(B) 49
(C) 10
D) 9
(E) It cannot be determined from the information given.
Answer:
\(A)58\)
Step-by-step explanation:
\([Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\\)
\(Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58\)
\(Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58\)
hi, can someone tell me if i solved this question right? and if i didnt, whats the correct answer/what i did wrong?
Answer :
here slope should be (-1-4)/(1-1) = -5/0 which is undefined.
Answer:
Mistake in Step 1: Explained below
Correct Answer: x = 1
Step-by-step explanation:
Step 1: Slope
\(\frac{-1-4}{1 - 1} = \frac{-5}{0} =\) undefined slopeThis is your first mistake. Both x values are 1, so subtracting 1 from 1 will result in 0
Step 2: Equation
A line with an undefined slope is a vertical line.
The equation of the line is x = 1
-Chetan K
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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In the cost function below, C(x) is the cost of producing x items. Find the average cost per item when the required number of items is produced.
C(x)x
a. 200 items b. 2000 items c. 5000 items
I’m certain year, there were 86 female officials in congress, which comprised of the House of Representatives and the senate. If there were 58 more female me members of the House of Representatives than female senators, find the number of females in each house of congress
Answer:
58 members of the House of Representatives, and 28 members of the senate.
Step-by-step explanation:
We can find the answer to this by simply subtracting:
86 - 58 = 28
So, there are 58 members of the House of Representatives, and 28 members of the senate.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Please help!
You are playing a game where you must spin a spinner that is numbered 1–8 on equal parts. What is the probability that you would get an odd number twice in a row?
25%
50%
12.5%
6.25%
The probability that your would get an odd number twice when the rolling is 1-8 is 12.5%
Probability is the chance of occurrence of an even (E) Over a period of time. That is, it is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
How to get the probability of the spinning?
From the analysis, the spinning is done twice from numbers 1-8
this means that in ever row, each number appears double.
The sample size is 8x8=64
1,1 1,2 1,3 1,4 1,5 1,6 1,7 1,8
2,1 2,2 2,3 2,4 2,5 2,6 2,7 2,8
3,1 3,2 3,3 3,4 3,5 3,6 3,7 3,8
4,1 4,2 4,3 4,4 4,5 4,6 4,7 4,8
5,1 5,2 5,3 5,4 5,5 5,6 5,7 5,8
6,1 6,2 6,3 6,4 6,5 6,6 6,7 6,8
7,1 7,2 7,3 7,4 7,5 7,6 7,7 , 7,8
8,1 8,2 8,3 ,,8,4 ,,, 8,5 ,,8,6 8,7,,, 8,8
The required outcome is 8
These outcomes are
1,1 2,2 3,3 4,4 5,5 6,6 7,7 8,8=8 outcomes
Probability of and event is
P=\(\frac{number of required outcome}{number of possible outcome}\)
P(E)=\(\frac{8}{64}\)
P(E)=\(\frac{1}{8}\)
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Answer: 25%
Step-by-step explanation:
You have 4/8 chances of getting an odd number on the spinner, which equals 1/2, or 50%. Now if you are going to get another odd number, you have an additional 1/2 (half your chances) or 50% of a chance of getting it after you get the first odd number. This means you must mutliply these chances. 1/2x1/2 which is 1/4 = 25%
What is the solution to the equation?
4q + 4 = 20
Question 4 options:
q = 4
q = 6
q = 16
q = 24
Answer:
q = 4
Step-by-step explanation:
4q + 4 = 20
or, 4q = 20 - 4
or, q = 16/4
or, q = 4
NEED HELP ASAP 10 pOINTS!!!!
Answer:
Since it's a right angled triangle
15² = 13² + x²
x² = 15²-13²
x² = 56
x = √56
x= 2√14
Hope this helps.
Problem 220.
A square yard is a unit of measurement for area. A square
yard is an amount of area equivalent to a 1-yard by 1-yard square. Jane buys 1/2 a square yard of cloth with a striped pattern, and 1/3 of a square yard of cloth with a floral pattern. How much total cloth did Jane purchase?
Use a diagram to model how to solve this problem
Answer: She bought 5/6 square yard
Step-by-step explanation:
Change the fractions to Least Common Multiple equivalents then add
1/2 = 3/6
1/3 = 2/6
3/6 + 2/6 = 5/6