Answer:
85%
Step-by-step explanation:
First to do it with the big percentage being 100 we can do this
20*5=100
17*5=85
85% of the time
Rachel runs 3.2 miles each weekday and 1.5 miles each day of the weekend. How many miles will she have run in 6 weeks?
Rachel will have ran 114 miles in six weeks.
There's five weekdays in a week: (3.2 x 5) = 16 miles
There's two days in a weekend: (1.5 x 2) = 3 miles
16 [weekday] + 3 [weekend] = 19 miles [7-day week]
(19 x 6) = 114 miles
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One month Eric rented 3 movies and 5 video games for a total of $34. The next month he rented 9 movies and 7 video games for a total of $56. Find the rental
cost for each movie and each video game.
Rental cost for each movie:
Rental cost for each video game:
G
O
G
movies 1.75 each
games 5.75 each
multiply 725base 9× 367base 9
Answer:
Hello,
Answer 303028
Step-by-step explanation:
Multiplication in base 9
\(\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}\)
Order the values from least to greatest. HID 1 |-2=1 2 1 2 1 2 |-2| -2 12
The numbers in the set can be compared by placing them in the number line, arranging the numbers from least to greatest as follows;
\(|-2\frac{1}{2} |\), \(-\frac{1}{2}\), \(1\frac{1}{2}\), \(|\frac{1}{2} |\) |-2|, \(-2\frac{1}{2}\)
What is a number line?A number line is a series of numbers placed on the a line at regular intervals that can be used to express mathematical operations.
The elements in the set includes;
|-2 1/2|, -1/2, 1 1/2, |1/2|, |-2|, -2 1/2
The numbers within the absolute sign have a positive result, therefore;
|-2 1/2| = 2 1/2
|-2| = 2
The numbers in the set can be arranged in the order from least to the greatest as follows;
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2The above ordered numbers indicates that the specified numbers arranged in order from least to the greatest are;
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Help me with this question please
Answer: C
Step-by-step explanation:
Y=2x-4
8=2(6)-4
8=12-4
8=8 Correct
Find two square numbers that total 45
andy wants to make a screen saver for his new computer. the screen is 32 inches long by 18 inches wide. what is the area of the screen?
Answer:
The answer is 576 inches
Calculate the side lengths a and b to two decimal places
Answer:
E
Step-by-step explanation:
using the Sine rule in Δ ABC
\(\frac{a}{sinA}\) = \(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
where a is the side opposite ∠ A , b opposite ∠ B , c opposite ∠ C
we require to calculate ∠ C
∠ C = 180° - (64 + 85)° = 180° - 149° = 31°
then to find a , using
\(\frac{a}{sinA}\) = \(\frac{c}{sinC}\)
\(\frac{a}{sin64}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
a × sin31° = 9.3 × sin64° ( divide both sides by sin31° )
a = \(\frac{9.3sin64}{sin31}\) ≈ 16.23 ( to 2 decimal places )
then to find b , using
\(\frac{b}{sinB}\) = \(\frac{c}{sinC}\)
\(\frac{b}{sin85}\) = \(\frac{9.3}{sin31}\) ( cross- multiply )
b × sin31° = 9.3 × sin85° ( divide both sides by sin31° )
b = \(\frac{9.3sin85}{sin31}\) ≈ 17.99 ( to 2 decimal places )
Identify the domain of the function shown in the graph.
A
B
C
D
Answer:
D. x is all real numbers
Step-by-step explanation:
The graph only goes from -11 to +11 in the horizontal direction, but that domain is not a choice. Apparently, we're to assume the graph extends to infinity both to the left and the right.
The domain is the horizontal extent of the function, so is ...
x is all real numbers
Help me With this please.
m∠NOP = 90° is the value of angle .
What does a math angle mean?
An angle is made up of two rays (half-lines) that have a shared termination. The rays serve as the angle's sides, occasionally serving as the angle's legs and occasionally serving as its arms, while the latter is referred to as the vertex of the angle.
A figure that is created by two rays or lines that have the same endpoint is known as an angle in plane geometry. The Latin word "angulus," which meaning "corner," is the source of the English term "angle". The vertex, which is the shared terminal of the two rays, is referred to as the side of an angle.
m∠NOP = 90° is the value of angle .
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A right triangle with coordinates A (2,1), B (6,1), and C (6,4) is reflected across the Y axis, then rotated 180 degrees counter clockwise and then translated down 2 units to form triangle A'B'C'.
What is the measure of angle A'B'C', in degrees, in the resulting figure?
The measure of angle A'B'C' in the resulting figure is approximately 142.6 degrees.
How to calculate the angleThe reflection of a point (x, y) across the y-axis is (-x, y). Applying this transformation to the coordinates of A, B, and C, we get:
A' (-2, 1)
B' (-6, 1)
C' (-6, 4)
The rotation of a point (x, y) by 180 degrees counter clockwise is (-x, -y). Applying this transformation to the coordinates of A', B', and C', we get:
A'' (2, -1)
B'' (6, -1)
C'' (6, -4)
Next, we can use the law of cosines to find the measure of angle B:
A'B'C' = 180 - arccos(-7/24)
≈ 142.6 degrees
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Students in management science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previous classes as well as the final average for the same students. Some of these grades have been sampled and are as follow:
1st test Grade 98 77 88 80 96 61 64 95 79
Final average 93 78 84 75 84 64 66 95 86
Develop a regression model that could be used to predict the final average in the course based on the first test grade.
Predict the final average of a students who made an 83 on the first test.
Give the value of r and r2 for this model.
Interpret the value of r2 in the context of this problem.
Answer:
The regression model is:
y = 20.29 + 0.73·x
Step-by-step explanation:
In this case a regression model is to be formed to predict the final average in the course based on the first test grade.
Use Excel to form the regression model.
The output is attached below.
The regression model is:
y = 20.29 + 0.73·x
Predict the final average of a students who made an 83 on the first test as follows:
y = 20.29 + 0.73·x
= 20.29 + 0.73 × 83
= 80.88
The final average of a students who made an 83 on the first test would be 80.88.
From the output:
R² = 0.839
Then the correlation coefficient will be:
\(r=\sqrt{R^{2}}=\sqrt{0.839}=0.91597\approx 0.92\)
The value of r is 0.92.
The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).
In this case, the R² value of 0.839 implies that 83.9% of the variation in the final average can be explained by the grades in the first test.
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. The table below shows the data:
Number of hours of sunlight
(x) 0 1 2 3 4 5 6 7 8 9
Height of plant in cm
(y) 4 7 10 13 16 19 22 25 28 31
Part A: Is there any correlation between the number of hours of sunlight that a plant receives and the height to which it grows? Justify your answer. (4 points)
Part B: Write a function which best fits the data. (3 points)
Part C: What does the slope and y-intercept of the plot indicate about the plant? (3 points)
In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. How did they get the following answer?34.8 N at 2.5 degrees from the positive x-axis
Answer:
34.8 N at 2.5 degrees from the positive x-axis
Step-by-step explanation:
From the given information:
The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.
\(F_x = F cos A\\\\ F_y = Fsin A\)
Given that
\(F_1 = 50 \ N\)
\(\theta_1 = 30 ^0 \ \ \ (x-axis)\)
\(F_{1x} = F_1 \times Cos A_1\)
= 50 × cos 30
= 43.3 N
\(F_{1y} = F_1 \times Sin \ A_1\)
= 50 × sin 30
= 25 N
Similarly;
\(F_2 = 25 \ N\)
\(\theta_2 = 250 ^0 \ \ \ ( x-axis)\)
\(F_{2x} = F_2 \times cos \ A_2\)
= 25 × cos 250
= - 8.55 N
\(F_{2y} = F_2 \times A_2\)
= 25 × sin 250
= -23.5 N
The total net force;
\(F_{net} = F_{(net)}_x + F_{(net)}_y\)
\(F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j\)
\(F_{net} = (43.3 - 8.55) i + (25-23.5 ) j\)
\(F_{net} =34.75 i + 1.5 j\)
\(|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}\)
\(|F_{net} | = \sqrt{34.75^2 + 1.5^2}\)
\(|F_{net} | = 34.8 \ N\)
Finally, the direction of the angle for the net force is:
\(tan \theta = \dfrac{F_{net_y}}{F_{net_x}}\)
\(\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)\)
\(\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)\)
\(\theta = tan^{-1}( 0.043165)\)
\(\theta \simeq 2.5^0\ with \ positive \ x-axis\)
Solve for measure of angle a.
55°
a = [?]°
25° ат
Check the picture below.
URGENT PLS HELP! WILL GIVE BRAINLIEST (PICTURE INCLUDED)
Answer:
1605
Step-by-step explanation:
find the inverse of each equation
The inverse of the equation is determined as \(y = \log_{6}(-3x)\).
option D is the correct answer.
What is the inverse of the equation?The inverse of the equation is calculated by applying the following method;
The given equation;
y = - 6ˣ/3
The inverse of the equation is calculated as;
multiply through by 3
\(-3x = 6^y\)
Take the logarithm of both sides of the equation with base -6:
\(\log_{6}(-3x) = y\)
Finally, replace y with x to obtain the inverse equation as follows;
\(y = \log_{6}(-3x)\)
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Identify the y-intercept
It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
Can someone check my work to see if it is correct?
Solve -4r + 18= 6 I need this equation
Answer:
r = 3Step-by-step explanation:
\(-4r + 18= 6\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\-4r+18-18=6-18\\\\\mathrm{Simplify}\\\\-4r=-12\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\\\frac{-4r}{-4}=\frac{-12}{-4}\\\\\mathrm{Simplify}\\\\r=3\)
A rectangle has a width measuring 5 ft. and a length measuring x −2. Write and solve an inequality that represents the values of x for which the area of the rectangle will be at least 35 square feet
Answer:
The inequality is: \(5(x - 2) \geq 35\)
The solution is: \(x \geq 9\)
Step-by-step explanation:
Area of a rectangle:
The area of a rectangle with length l and width w is given by:
A = lw
In this question:
Width 5 feet.
Length x - 2.
For which the area of the rectangle will be at least 35 square feet
Equal or greater than 35. So
\(5(x - 2) \geq 35\)
\(5x \geq 45\)
\(x \geq \frac{45}{5}\)
\(x \geq 9\)
Which of the following is unlikely to be a primary building block in a company's organizational structure? O Geographic organizational unitsO Process departmentsO Value chain activity departmentsO Divisional units performing one or more of the major processing steps along the value chain (raw materials production, components manufacture, assembly, wholesale distribution, retail store operations). O Traditional functional departments
Value chain activity departments is unlikely to be a primary building block in a company's organizational structure.
In the given question,
We have to explain which of the following is unlikely to be a primary building block in a company's organizational structure.
Organizational structures can be tailored to fit the needs of companies in certain sizes and industries by using functions, markets, products, regions, or processes as their guides.
According to your company's demands, you can add additional building blocks or components to an organisational structure, which normally comprises four basic components.
The value chain framework consists of four secondary activities, procurement and purchasing, human resource management, technological development, and business infrastructure, in addition to five primary activities: inbound operations, operations, outbound logistics, marketing and sales, and service.
Hence, value chain activity departments is unlikely to be a primary building block in a company's organizational structure.
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The graph below shows the distance a car drove over a course of 18 hours. At what time did the driver end her trip?
at 20 hours
at 2 hours
at 18 hours
at 4 hours
I need help with number 3
Answer:
C
Step-by-step explanation:
60+70=130
M=50
K=130
m+k=180 it all adds up
The area of a triangle is 273 square centimeters. If the base is 21 centimeters what is the height?
Th anwse is d) :B k .............
Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement
nets is true?
Three-dimensional Figure
Answer:
d
Step-by-step explanation:
Pleeeeeeeeeeeeeeeeaaaaaaaaaaaaaasssssssssssssseeeeeeee help ASAP and giving 33 points the ma is the -2 and the 5 and t is -4 and h is -8
Answer:
-320
Step-by-step explanation:
-2×5 (-4×-8)
-10(32)
-10×32
-320
5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²How to solve the expressionsWe have to solve these out
3^8. = 6561
From the options
A. 3^2x3^4
= 9 x 81
= 729
B 3²x3^6
= 9 x 729
= 6561
C. 3^16/3^2
= 43046721/9
= 4782969
d. 3^12/3^4
= 531441 / 81
= 6561
E. (3^4)²
= 3⁴ x 3⁴
= 3⁴⁺⁴
= 3⁸
= 6561
F. (3¹)^7
= 3⁷
= 2187
The expressions that are equivalent to 3^8 are:
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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