Equation
\(\frac{d}{3.9}=-11.9\)\(\begin{gathered} d=3.9\cdot(-11.9) \\ d=46.41 \end{gathered}\)The answer would be d = 46.41
Each toy is 8 inches tall by 12 inches wide and 6 inches wide how much space is in each box
Each box needs to have a minimum space of 576 cubic inches to hold the toy.
What is a cuboid?
A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.
To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.
The volume of the toy can be calculated as:
Volume = height x width x depth
Volume = 8 inches x 12 inches x 6 inches
Volume = 576 cubic inches
Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.
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Find the equation of the line.
Answer:
y = \(-\frac{1}{3}x+5\)
Step-by-step explanation:
Let the equation of the given line is,
y = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Since slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is represented by,
m = \(\frac{y_2-y_1}{x_2-x_1}\)
If the points are (0, 5) and (-3, 6),
Slope of the line 'm' = \(\frac{6-5}{-3-0}\)
= \(-\frac{1}{3}\)
y-intercept of the line 'b' = 5
Therefore, equation of the given line will be,
y = \(-\frac{1}{3}x+5\)
If Kate is traveling at 6 m/s and speeds up to 12 m/s in 3 seconds. What is Kate's acceleration?
Acceleration is 2.......
Are -4(3d-2)-7 and -12d-15 equivalent? explain in a paragraph for. PLSS I NEED HELP
The expressions given as -12d + 1 and -12d - 15 are not equivalent
How to determine if the expressions are equivalent?From the question, the expressions are given as
-4(3d-2)-7 and -12d-15
Open the brackets in the above expression
So, we have
-12d + 8 - 7 and -12d - 15
Evaluate the like terms in the above expression
So, we have
-12d + 1 and -12d - 15
We can see that -12d + 1 and -12d - 15 do not hold the same value
Hence, -12d + 1 and -12d - 15 are not equivalent
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From her eye, which stands 1.73 meters above the ground, London measures the angle of elevation to the top of a prominent skyscraper to be 30^{\circ} ∘ . If she is standing at a horizontal distance of 389 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.
The height of the skyscraper is 226.32 meters (rounded to the nearest hundredth of a meter)
An illustrative diagram is shown in the attachment below:
In the diagram, /TB/ is the height of the skyscraper
/BL/ is the horizontal distance from the base of the skyscraper to where London is standing
Point E is her eye level
From the diagram, we observe that the height of skyscraper
/TB/ = /TM/ + /MB/ = x + 1.73m
Now, to determine the height of the skyscraper, we will first determine the value of x
Consider ΔTME
∠TEM = 30°
/TM/ is the opposite and
/ME/ is the adjacent
From the formula
\(tan \theta =\frac{opposite}{adjacent}\)
/TM/ = x
/ME/ 389 m
Then, we can write that
\(tan30^{o} = \frac{x}{389}\)
∴ x = 389×tan30°
x = 224.58925 m
Recall that the height of the skyscraper /TB/ = x + 1.73m
∴ /TB/ = 224.58925m + 1.73m
/TB/ = 226.31925m
/TB/ ≅ 226.32m
Hence, the height of the skyscraper is 226.32 meters (rounded to the nearest hundredth of a meter)
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Jacob knows that 120 means “1 divided by 20.” He uses this to find the decimal equivalent for 120. Enter a digit into each box to complete his work.
The value of the decimal equivalent for 120 will be;
⇒ 0.05
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
Jacob knows that 120 means “1 divided by 20.”
Now,
Since, Jacob knows that 120 means “1 divided by 20.”
Hence, The value of 120 by using this will be;
⇒ 1/20 = 0.05
Thus, The value of the decimal equivalent for 120 will be;
⇒ 0.05
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Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?
Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
\(\mathbf{\frac 12" = 3'}\)
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
\(\mathbf{\frac 12\ inches= 3\ feet }\)
Multiply both sides by 10
\(\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}\)
Simplify
\(\mathbf{5\ inches = 30\ feet }\)
Rewrite as:
\(\mathbf{5" = 30'}\)
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
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The author of Passage 1 indicates which of the
following about the use of screen-based technologies?
A) It should be thoroughly studied.
B) It makes the brain increasingly rigid.
C) It has some positive effects.
D) It should be widely encouraged.
The author of Passage 1 indicates about the use of screen-based technologies it has some positive effects.
Which indicates about the use of screen-based technologies?The author of Passage 1 indicates about the use of screen-based technologies it has some positive effects.
According to the author of Passage 1, people can benefit from using screen-based technologies because they strengthen "certain cognitive skills" and "brain functions related to fast-paced problem solving."
The author of Passage 1 indicates the positive effects.
Because the author of Passage 1 cites numerous studies on screen-based technologies, Option A is incorrect.
Option B is incorrect because Passage 1 does not support it.
Option D is incorrect because, while the author mentions some advantages of screen-based technologies, he does not advocate for their use.
Therefore, the correct answer is option C) It has some positive effects.
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sometimes we can determine the number of solutions that a system of equations has by simply observing and drawing conclusions from the equations. this is called
Answer:
observations and quadratic formula
So far this year, the average monthly revenue at the Newport Times is $63,886. That is 15%
less than the monthly average was last year. What was the average last year?
Answer:
$63,901
Step-by-step explanation:
Because you do 63,886/100.000x 15/1 =15 then you add it.
A self-serve car wash charges $5.81 to use its facilities, plus an additional $0.77 for each minute the customer is at the self-serve car wash. If Tiffany was at the car wash for 7 minutes, how much was she charged?
A. $6.58
B. $12.81
C. $11.20
D. $5.39
Answer:
C. $11.20.
Step-by-step explanation: Just times the minutes by the $0.77 cents then plus the $5.81 to the answer getting your final answer.
Which function is described by the value in the table
Answer:
second one
Step-by-step explanation:
Write a function describing the relationship of the given variables. a varies directly with r and when r = 6 , a = 18
The function describing the relationship of the given variables is a= 6r
How to write a function describing the relationship of the given variables.?The statement is givn as:
a varies directly with r
This means that
a= kr
Where k is the constant of variation
When r = 6 , a = 18, we have
18= 6k
Divide by 6
k = 3
Substitute k = 3 in a= kr
a= 6r
Hence, the function describing the relationship of the given variables is a= 6r
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One gallon of milk has 128 fluid ounces. How much milk is in 6.5 gallons? Enter your answer in the box.
Answer:
832 fluid ounces.
Step-by-step explanation:
You just multiply 128 by 6.5
There are 4 quarts in a gallon, so:
6.5 * 4 = 26 quarts of milk
And with 32 ounces per quart:
26 * 32 = 832 ounces of milk
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the same purchase what is the cost of the purchase?
Answer:
$60
Step-by-step explanation:
Let's say we need t $2 bills and v $5 bills.
We need 9 more $2 bills than $5 bills, so:
t = 9 + v
We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:
5v + 45 = 2t
Plug v + 9 in for t in 5v = 2t + 18:
5v = 2t + 18
5v = 2 * (9 + v) + 18
5v = 18 + 2v + 18
3v = 36
v = 12
We have 12 $5 bills, so that total cost is 12 * 5 = $60.
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Find the value of x. B 5x10 580 3x-10 11x+2 E L/X+5 1100 25 X+15
pls help :((
Answer:
i) x=11⁰
ii) x=21⁰
iii) x=25⁰
Step-by-step explanation:
You can find the complete solution in the given attachment
I hope it helped you
the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?
The department's sales per square foot are $51.16 per square foot.
What is division?Division is the process of dividing a number by a given number.
Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.
The sales per square foot are:
(total sales)/ (total area)
= 15349/300
= 51.16
Hence, the department's sales per square foot are $51.16 per square foot.
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Consider the following.
f(x, y) = 9×^2 + 4y^2
c = 40, P(2, -1)
Find the gradient of the function at P.
The gradient of the function \(f(x, y) = 9x^2 + 4y^2\)at point P(2, -1) is (36, -8).
Process of finding gradient:Given function,
\(f(x, y) = 9x^2 + 4y^2\)at point P(2, -1),
we need to compute the partial derivatives with respect to x and y.
Step 1: Find the partial derivative with respect to x.
∂f/∂x = 18x
Step 2: Find the partial derivative with respect to y.
∂f/∂y = 8y
Step 3: Evaluate the partial derivatives at point P(2, -1).
∂f/∂x|_(2, -1) = 18(2) = 36
∂f/∂y|_(2, -1) = 8(-1) = -8
Step 4: Write the gradient as a vector.
Gradient = (∂f/∂x, ∂f/∂y) = (36, -8)
So, the gradient of the function\(f(x, y) = 9x^2 + 4y^2\)at point P(2, -1) is (36, -8).
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How do I find the domain and range of a graph?
The domain is the x-axis and the range is the y-axis.
To find the domain, you measure or count the widest part of this oval horizontally. So that is 3 units to the right of 0 and 3 units to the left of 0. I counted it exactly on the axis because that is the widest part of the oval.
To find the range, you again count or measure the widest part of the oval vertically. So that is 4 units above 0 and 4 units below 0.
Final Answer
D: -3 ≤ x ≤ 3
R: -4 ≤ x ≤4
250 pounds = how many tons
The metric unit from pounds to tons is 250 pounds = 0.125 tons
Converting the metric unit from pounds to tonsFrom the question, we have the following parameters that can be used in our computation:
250 pounds = how many tons
As a general rule, we have
1 pound = 0.0005 tons
Multiply both sides of the equation by 250
So, we have
250 * 1 pound = 0.0005 tons * 250
Evaluate the products
250 pounds = 0.125 tons
Hence, the conversion is 250 pounds = 0.125 tons
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Let k be a real number and (M) be the following system. (M): S x + y = 0 2x + y = k – 1 Using Cramer's Rule, the solution of (M) is a. x=k-1.y=1-k b. x=1-k.y=2k-2 c. None of the mentioned d. x=1-k.y=2-2K
The solution to system (M) using Cramer's Rule is x = 1 - k and y = 2k - 2, which corresponds to option (d).
Cramer's Rule can be used to solve a system of linear equations by finding the determinants of coefficient matrices. For system (M), the coefficient matrix is:
| S 1 |
| 2 1 |
The determinant of this matrix, denoted as D, is calculated as D = (S * 1) - (2 * 1) = S - 2.
Next, we create two matrices by replacing the corresponding column of the coefficient matrix with the constants from the right-hand side of the equations. The determinant of the first matrix, denoted as Dx, is calculated by replacing the first column with [0, k-1]:
| 0 1 |
| k-1 1 |
Similarly, the determinant of the second matrix, denoted as Dy, is calculated by replacing the second column with [2, k-1]:
| S 0 |
| 2 k-1 |
Using Cramer's Rule, the solution for the variables x and y can be found as x = Dx / D and y = Dy / D.
Substituting the determinants, we have:
x = (0 - (k-1)(S)) / (S - 2) = 1 - k
y = ((S)(k-1) - 2(0)) / (S - 2) = 2k - 2
Therefore, the solution to system (M) using Cramer's Rule is x = 1 - k and y = 2k - 2, which matches option (d).
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Find the slope of the line containing the points (2,-4) and (5,3)
Answer:
m = \(\frac{7}{3}\)
Step-by-step explanation:
Answer:
7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-(-4))/(5-2)
m=(3+4)/3
m=7/3
-3x-7(x+4) which is a term in this expression
1. In the figure ac is a diameter of a circle. Which represents a major arc. A. Ac B.Abc c. Adc d. Adc
a pole that is 2.8m tall casts a shadow that is 1.49m long. at the same time, a nearby building casts a shadow that is 37.5m long. how tall is the building? round your answer to the nearest meter.
The height of the building is 71 meters.
We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:
(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)
Substituting the given values:
2.8 / 1.49 = (height of building) / 37.5
To find the height of the building, we can cross-multiply and solve for it:
(2.8 * 37.5) / 1.49 = height of building
Calculating the expression on the right side:
(2.8 * 37.5) / 1.49 ≈ 70.7013
Rounding to the nearest meter, the height of the building is approximately 71 meters.
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Hi please answer ASAP with work shown on every problem. Giving LOTS of points and will give brainiest!!!
What effect does eliminating the highest value, 180, from the data set have on the mean and median? 25, 50, 50, 60, 70, 85, 85, 90, 90, 180
Step-by-step explanation:
The mean is 78.5
Median 70 85
Answer:
Step-by-step explanation:
Mean - 78.5
Median - 77.5
What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1,200 451 Region C 13,475 395 Region D 6,980 426
Answer:
A got it right
Step-by-step explanation:
got it right
Mr. Estrada's car can travel no more than 510 miles on one full tank of gasoline. After filling up the tank with gasoline, he traveled 194 miles in the car. Write an inequality that represents the values of m, the number of miles Mr. Estrada can travel in the car with the remaining gasoline in the tank and solve.
please help me!! this is due very soon
Answer:
Step-by-step explanation:
The required inequality x + m ≤ 510, and the distance is 316 miles.
What is inequality?Inequity occurs when two phrases are joined by a sign such as "not equal to," "more than," or "less than." The inequality illustrates the larger than and less than the relationship between variables and numbers.
Given that Mr. Estrada's car can only drive 510 miles on a full tank of petrol. He drove the car 194 miles after filling up the tank with gasoline.
Let,
x miles = distance already traveled
m miles = distance miles can travel with remaining gas
510 = max. miles can travel on a full tank
As per the given question,
The inequality will be written as,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
Apply the subtraction operation, and we get
m ≤ 316
Therefore, the required inequality x + m ≤ 510, and the distance is 316 miles.
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ASAP WHATS THE ANSWER???
Answer:
algebraic expression as they used variables