Answer:
$59.94
Step-by-step explanation:
So for this question, you need to find 8% of 748.
You can do this by multiplying .08 by 748:
.08(748) = 59.94
Answer:
149.6
Step-by-step explanation:
Camila has 6 bags of candy. She can pour 1/3 of a bag of candy into a bowl. How many bowls of candy can Camila make in all?
Answer:
18 Bowls of Candy
Step-by-step explanation:
Camila has 6 bags of candy, and she can pour 1/3 of a bag into a bowl. To determine how many bowls of candy she can make in total, we need to divide the total amount of candy by the amount of candy per bowl.
Since Camila can pour 1/3 of a bag into a bowl, it means she can make 3 bowls of candy with a full bag.
Now, we can calculate the total number of bowls of candy:
Total bowls of candy = (Number of bags) x (Bowls per bag)
Total bowls of candy = 6 bags x 3 bowls per bag
Total bowls of candy = 18 bowls
Therefore, Camila can make a total of 18 bowls of candy with her 6 bags of candy.
x2 + 8 ÷ 6= x says to solve
Rewrite the equation as:
\(x^2-x+\frac{8}{6}=0\)Let's use quadratic formula:
\(x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Where:
a = 1
b = -1
c= 8/6
\(\begin{gathered} x=\frac{-(-1)\pm\sqrt[]{(-1)^2-4(1)(\frac{8}{6})}}{2(1)} \\ \\ x=\frac{1\pm\sqrt[]{1-\frac{16}{3}}}{2} \\ \\ x=\frac{1\pm\sqrt[]{-\frac{13}{3}}}{2} \\ \\ x=\frac{1\pm\frac{\sqrt[]{39}}{3}i}{2} \\ \\ \end{gathered}\)Simplify:
\(\begin{gathered} x=\frac{1}{6}(3-i\sqrt[]{39}) \\ or \\ x=\frac{1}{6}(3+i\sqrt[]{39}) \end{gathered}\)8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example: The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius.
To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.
Weekly salary = Hourly pay rate * Number of hours worked
Weekly salary = $12/hour * 20 hours
Weekly salary = $240
So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.
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PLEASE HELP!
whoever answers right get brainliest!!!
Answer:
FIRST ONE "Deb sold vases for two years, neither sold nor bought the next year and then sold bases for two more years"
Step-by-step explanation:
Notice the number of bases in debs collection is DECREASING as the years passes for the first and third period. This is she is selling her vases but in the middle the number is the same (two point in the same horizontal line) this means she neither sold nor bought any vase in that period.
What type of matter is pure gold
a heterogenous mixture
a homogenous mixture
a compound
an element
Answer:
an element
Step-by-step explanation:
.
Step-by-step explanation:
a ) Heterogenous Mixture
Is the answer
PLEASE MARK AS BRAINLIEST ANSWER
Help please please ugufidhdjdift
question 2. what does 24x24 equal
Answer:
576
Step-by-step explanation:
Answer:
576
Step-by-step explanation:
24x24 equals 576
What are the new coordinates of point A when
it is rotated about the origin by
a) 90° clockwise?
-4
b) 180°?
c) 270° clockwise?
-3 -2 -1
Y
4-
3-
ΤΑ
2.⁰⁰
1
0
-1-
-2-
--3-
-4-
1
N.
2
3 4
X
The different coordinates after respective rotation are:
1) A'(2, 0)
2) A'(0, -2)
3) A'(-2, 0)
What are the coordinates after rotation?There are different methods of transformation such as:
Translation
Rotation
Dilation
Reflection
Now, the coordinate of the given point A is: A(0, 2)
1) The rule for rotation of 90 degrees clockwise is:
(x, y) →(y,-x)
Thus, we have:
A'(2, 0)
2) The rule for rotation of 180 degrees is:
(x, y) → (-x,-y)
Thus, we have:
A'(0, -2)
3) The rule for rotation of 180 degrees is:
(x, y) → (-y,x)
Thus, we have:
A'(-2, 0)
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The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.
According to the information we can infer that the change between 11 and 12 is 1.3 m/hr
How much does the height of the wave change between 11 and 12?To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:
5.2 - 3.9 = 1.3According to the above, we can infer that the change between these two hours is 1.3 m/hr.
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If there are 148 men work that work at your job and 97 women, what is the percentage of women who work at your job?
What is the approximate distance between points A and B?
A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1. The ordered pair 1, 4 is labeled as A, and the ordered pair negative 2, negative 3 is labeled as B.
a. 6.32
b. 6.95
c. 7.62
d. 8.56
Answer:
\(\displaystyle d \approx 7.62\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A(1, 4)
Point B(-2, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: \(\displaystyle d = \sqrt{(-2-1)^2+(-3-4)^2}\)(Parenthesis) Subtract: \(\displaystyle d = \sqrt{(-3)^2+(-7)^2}\)[√Radical] Exponents: \(\displaystyle d = \sqrt{9+49}\)[√Radical] Add: \(\displaystyle d = \sqrt{58}\)[√Radical] Evaluate: \(d = 7.61577\)Round: \(\displaystyle d \approx 7.62\)PLEASE HELP
it can be answered in fraction form so please try that first
The circle below has center O, and its radius is 7 m. Given that m ZAOB= 150°, find the length of the arc ADB and the area of the shaded region.
Give exact answers in terms of , and be sure to include the correct units in your answer.
Answer:
49π/6 m343π/12 m²Step-by-step explanation:
Given a circle of radius 7 m with central angle AOB = 150°, you want the length of long arc AB and the area of the sector it bounds.
Arc lengthThe length of an arc of a circle is ...
s = rθ
where θ is the central angle in radians.
Here, the long arc in degrees is 360° -150° = 210°. In radians, that is ...
210° = 210°×π/180° radians = 7π/6 radians
So, the arc length is ...
s = (7 m)(7π/6) = 49π/6 m . . . . arc length
AreaThe area of the sector is half the product of the arc length and the radius; (You can think of it as a kind of triangle.)
A = 1/2s·r
A = 1/2(49π/6 m)(7 m) = 343π/12 m² . . . . area
need help asap please
Answer:
31°
Step-by-step explanation:
<Y + <X = 180° [being co-interior angles ]
s + 91° + 2s - 4° = 180°
3s + 87° = 180°
3s = 180° - 87°
3s = 93°
s = 93° /3
s = 31°
Hope it will help you :)❤
Answer:
\(\displaystyle 31\)
Step-by-step explanation:
Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:
\(\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s\)
I am joyous to assist you at any time.
Solve 7x^2–20x = 3.
;
Answer:
x=3, -1/7
Step-by-step explanation:
7x^2-20x-3=0
Factor.
(x-3)(7x+1)=0
x-3=0 ⇒ x=3
7x+1=0 ⇒7x=-1 ⇒x= -1/7
Answer:
\(x = \frac{-1}{7}\) or \(x = 3\)
Subtract one sixth from 8 times f
Answer:
Nothing further can be done with this topic. Please check the expression entered or try another topi
Step-by-step explanation:
HW3 Applying the Pythagorean theorem
Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof?
25 inches
41 inches
21 inches
20 inches
40 inches
29 inches
By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.
What is Pythagoras theorem?The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born.
According to the question:
Given, Hypotenuse(h) = 29 inches
Base(b) = 40/2 = 20 inches
Using Pythagoras theorem, we get
h² = b² + p²
⇒ 29² = 20² + p²
⇒ p² = 29² - 20²
⇒ p² = 841 - 400
⇒ p² = 441
⇒ p = √441
⇒ p = 21
∴ The height of the roof of dog house is 21 inches.
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Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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S={(3,p),(3,0),(4,q),(1,4)}
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
3
Translate the problem into an equation and then use your equation to answer the
question.
Alex could arrive on time for his appointment if he leaves now and drives 50 mph.
However, Alex leaves the house 15 minutes earlier, drives 40 mph, and arrives on
time. How far from Alex's house is the appointment?
Answer:
We can use the following equation to answer the question: d = (50 mph)(15 minutes/60 minutes) + (40 mph)(t minutes/60 minutes).
Where t is the total time it takes Alex to travel to the appointment. Solving for t, we get t = (d - 15 mph)/(10 mph).
Therefore, the appointment is d = (50 mph)(15 minutes/60 minutes) + (40 mph)(t minutes/60 minutes) = (750 miles/hr)t miles away from Alex's house.
Usain Bolt, a Jamaican sprinter, holds the Olympic and world records for the 100-m dash, which she achieved during the 2012 Summer Olympics in London. He finished the 100-m dash in 9.63 seconds. What was his speed?
Answer:
23.2
Step-by-step explanation:
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Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
geometry, not sure if i’m right or wrong, if wrong what is the answer and how?
From the figure we can say that KM/KJ = (2x + 5)/(8x - 18) = 1/2
8x - 18 = 2(2x + 5) = 4x + 10
4x = 10 + 18 = 28
x = 28/4 = 7
x = 7
MN = 2x + 5 = 2(7) + 5 = 14 + 5 = 19
Answer:
MN = 19
8 (3x-6) = 6(4x + 8)
Answer:
There is no solution to make it true.
Step-by-step explanation:
Select the correct answer. What is the solution to the equation?
square root of x-3 + 1 = 6
64
46
28
22
Answer:
Correct answer is 28
Step-by-step explanation:
The solution to the equation is 8.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We have,
x - 3 + 1 = 6
Solve for x.
x - 2 = 6
x = 6 + 2
x = 8
We can cross-check.
x - 3 + 1 = 6
8 - 3 + 1 = 6
9 - 3 = 6
6 = 6
True
Thus,
The solution is 8
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If a rectangle has a length of 8 cm and a width of 12 cm what is the area