Answer:
The scale factor is 3.
Step-by-step explanation
Figure B has side measures 16, 20, and 9. Figure A has side measures 48, 27, and 60. The ratio of each of the corresponding sides is 1:3 (16:48, etc). Therefore, the scale factor of Figure B to Figure A is 3.
f(x) = 9 - X
g(x) = 5x + 2x + 1
Encontre (F+g)(X)
Answer:
5x^2 + x + 10
Step-by-step explanation:
you appear to have a typo. I'd say
(f+g)(x) = f(x) + g(x) = 9-x + 5x^2+2x+1 = 5x^2 + x + 10
what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
Using the diagram, find the measure of the angle indicated in bold.
A 95
B 110
C 120
D 130
I need help with this.
Answer:
9x2 and 9x2
Step-by-step explanation:
There are 6 arms for every 4 eyes.
If there are 3 arms, how many eyes
are there?
8
7
2
3
Answer:
2 eyes
Explanation:
I just did this lol.
The price of an item has been reduced by 2.09 The original price was 99.15 What is the price now?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The current price of the item is 97.06
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Original price of an item = 99.15
The price has been reduced by 2.09.
The current price.
= 99.15 - 2.09
= 97.06
Thus,
The current price of the item is 97.06
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19-x²
if x = -5
How would you solve this math problem?
The solution to the math problem is -6.
A math problem is a problem that can be represented, analyzed, and probably solved, with the techniques of arithmetic. This will be an actual-world problem, inclusive of computing the orbits of the planets inside the solar gadget, or trouble of a greater summary nature, such as Hilbert's problems.
The Collatz Conjecture is the only math problem no person can resolve it is straightforward and sufficient for almost every person to recognize but notoriously difficult to resolve.
= 19 - ( - 5 ) ²
= 19 - ( 25 )
= 19 - 25
= - 6
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A statics class has 50 students and among those students, 35 are business majors and 7 like grilled cheese. Of the business majors, 3 like grilled cheese. Find the probability that a randomly selected statistic student is a business major or likes grilled cheese
The probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that the statistics class has 50 students and among those students, 35 are business majors, and 7 like grilled cheese. Of the business majors, 3 like grilled cheese.
The probability will be calculated as:-
P(AUB) = P(A) + P(B) - P(AB)
\(P(AUB)=\dfrac{35}{50}+\dfrac{7}{50}-\dfrac{3}{50}\)
\(P(AUB)=\dfrac{42-3}{50}\)
\(P(AUB)=\dfrac{39}{50}\)
P(AUB) = 0.78
Therefore the probability that a randomly selected statistics student is a business major or likes grilled cheese is 0.78.
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One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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(q1) Find the length of the curve described by the function
The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:
L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2
The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.
Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:
L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral be solved.
We can, however, find a general solution. We use the above formula and substitute the limits of integration.
Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.
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Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
an orchard sells 6lb of apples for $13.50 there is a proportional relationship between the cost and number of apples.
Answer:
Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Interpreting Graphs of Linear and Exponential Functions in Context - Item 31449
Question 2 of 7
A boat depreciates in value each year. Which of the following is NOT true about the
value of the boat after t years?
(s) onje BOA
20,000 -
16,000 -
12,000 -
8,000
4.000-
0
4
8 12 16%
20
Time yn
CLEAR
CHECK
The value of the boat is decreasing over time,
The boat will be worth more in 20 years than the amount it
was purchased for
The boat was initially purchased for $20,000
After 4 years, the boat will be worth exactly half of its
original price
Answer:
???
Step-by-step explanation:
Decide which of the two given prices is the better deal. You can buy laundry product in a 30 -ounce bottle for $ 6.00 or in a 24-ounce bottle for $ 4.08 .
A) not enough information
B) 24-ounce bottle for $4.08
C) equal value
D) 30-ounce bottle for $6.00
30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.
The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs constitutes a mathematical expression.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented using mathematical symbols. They can also be used to indicate other characteristics of the logical grammar, such as the operation order.
We are given that there are two conditions for bottles. A 30 -ounce bottle for $ 6.00 or in a 24-ounce bottle for $ 4.08. The unit price for each bottle will be: The bottle having the lower price will be:-
30-ounce bottle = $6.00
One ounce bottle = 30 / 6.00 = $5.00
and
24-ounce bottle = $4.08
One ounce bottle = $24/ 4.08 = $5.88
30-ounce bottle for $6.00 will have a lower unit price. The correct option is D.
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6.Pirate Pete wants to give each of his pirate friends an equal number of gold
coins. But, he can't remember if 3, 4, 5 or 6 of his pirate friends are coming
to his party. What is the fewest number of gold coins that Pirate Pete must
have so that each pirate friend who comes to his party gets the same number
of gold coins?
Answer:
60
Step-by-step explanation:
A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]
Work Shown:
\((x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\\)
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{y = -3}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{Goes through (8, 2) and (12, -10)}\)
Find: \(\textsf{The slope of the line}\)
Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.
Plug in the values
\(\textsf{y = }\frac{y_2 - y_1}{x_2 - x_1}\)\(\textsf{y = }\frac{-10 - 2}{12 - 8}\)Simplify the expression
\(\textsf{y = }\frac{-12}{12 - 8}\)\(\textsf{y = }\frac{-12}{4}\)\(\textsf{y = -3}\)Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.
Consider a normal population with the mean of 40 and standard deviation of 10. A random sample of was selected: 39.2, 45.7, 27.4, 25.9, 25.1, 46.3, 42.9, 49.0, 40.6, 47.0. What is the bias of this the estimated mean for this sample
Answer:
\(\bar X = \frac{\sum_{i=1}^n X_i}{n}\)
And replacing we got:
\(\bar X= 38.91\)
And we can find the bias with this formula:
\( Bias= \bar X -\mu\)
And replacing we got:
\( Bias = 38.91 -40 = -1.09\)
Step-by-step explanation:
For this problem we know that the random variable of interest follows this distribution:
\(X \sim N(\mu =40, \sigma= 10)\)
And we have the following random sample given:
39.2, 45.7, 27.4, 25.9, 25.1, 46.3, 42.9, 49.0, 40.6, 47.0
And we can calculate the sample mean with the following formula:
\(\bar X = \frac{\sum_{i=1}^n X_i}{n}\)
And replacing we got:
\(\bar X= 38.91\)
And we can find the bias with this formula:
\( Bias= \bar X -\mu\)
And replacing we got:
\( Bias = 38.91 -40 = -1.09\)
what is the answer i'll give brainly
Answer:
c = -3
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
\(4(-2)=4*\frac{-c-11}{4}\)
Cancel multiplied terms that are in the denominator
\(4(-2)=-c-11\)
Multiply the numbers
\(-8=-c-11\)
Add 11 to both sides of the equation
\(-8+11=-c-11+11\)
Simplify
\(3=-c\)
Divide both sides of the equation by the same term
\(\frac{3}{-1}=\frac{-c}{-1}\)
Simplify
\(c=-3\)
[RevyBreeze]
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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Find an equation of the line perpendicular to y = -1/2x – 3 that crosses the point
(-3, -2). Write your equation in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
y = - \(\frac{1}{2}\) x - 3
Slope of perpendicular line is "2"
( - 3 , - 2 )
y + 2 = 2( x + 3 )
y = 2x + 4
Angle 1 and angle 2 are complementary angles. The measure of angle 1 is 58°. The measure of angle 2 is 2x°. Find the value of x
Answer:
2x+58+x=180 180-58=3x 122=3x
Step-by-step explanation:
x=40.666
*the sum of the angles of the triangle is 180 degrees
You randomly draw one card from a standard deck of 52 playing cards. What are the odds that it is a diamond?
PLEASE HELP THE QUESTION IN THE PICTURE.
the answer is 4/5 this is know to be hard
Roger spent $71 on 2 baseball mitts and 5 baseballs. Bob spent $107 on 4 mitts and 3 baseballs. How much do baseballs and mitts cost?
A baseball glove or mitt is a large glove worn by baseball players of the defending team, which assists players in catching and fielding balls hit by a batter or thrown by a teammate.
What does mitt mean in baseball?Baseball was initially a glove-less sport. A player who played without gloves during the gradual switch to gloves was referred to as a "barehanded catcher"; this term did not refer to the position of catcher, but rather to the act of catching with bare hands.
The original glove was used mainly to smash a ball to the ground so it could be scooped up and was not webbed or particularly well adapted for catching. Due to a left hand injury, Doug Allison, a catcher for the Cincinnati Red Stockings, is one of the earliest players thought to have used a baseball glove.
Charlie Waitt, a first baseman and outfielder for St. Louis, donned the first known glove in 1875.
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factoriser
A=(2x-3)(2x-3)-(x-2)(x-2)
Describe the transformations of the parent function for f(x) = -1/2√x+4.
The graph would be narrower.
The graph would shift down 4 units.
The graph would reflect over the y-axis.
The graph would shift up 4 units.
The graph would be wider.
The graph would shift to the left 4 units.
The graph would shift to the right 4 units.
The graph would reflect over the z-axis.
The parent function for f(x) = -1/2√x+4 can be transformed in a variety of ways to create new functions.
Describe the transformations of the parent function for f(x) =-1/2√x+4?The parent function for f(x) = -1/2√x+4 can be transformed by shifting, reflecting, and stretching.Shifting:
f(x) = -1/2√x+4 + c, where c is the amount of the shift on the y-axis
Reflecting:
f(x) = -1/2√-x+4, where the negative sign reflects the graph across the y-axis
Stretching:
f(x) = k(-1/2√x+4), where k is the amount of the stretch on the y-axis.
The most basic transformation is a vertical shift, which can be accomplished by adding or subtracting a constant from the function. When the constant is positive, the function shifts up, and when it is negative, the function shifts down.Horizontal shifts can also be applied by adding or subtracting a constant from the x-value inside the radical. When the constant is positive, the function shifts to the left, and when it is negative, the function shifts to the right.To learn more about The parent function refer to:
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The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary
The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Given:
Radius (r) = 20 inches
Height (h) = 0.7 feet
First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:
Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches
Now, we can substitute the values into the volume formula:
Volume = π * (20 inches)^2 * 8.4 inches
Calculating the volume:
Volume = 3.14159 * (20 inches)^2 * 8.4 inches
≈ 3.14159 * 400 inches^2 * 8.4 inches
≈ 1005.3096 cubic inches
Rounding the volume to the nearest tenth:
Volume ≈ 1005.3 cubic inches
Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.
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What is the addition property of equality in the equation 6x-9=45
The addition property of equality is used when we add 9 to both sides
6x-9 = 45
6x-9+9 = 45+9
6x = 54
The next step would be to divide both sides by 6 using the division property of equality
6x = 54
6x/6 = 54/6
x = 9