Carlos found that the length of the diagonal of his laptop monitor is . If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal
Answers
The size of the monitor as measured by the diagonal to the nearest whole inch, 17 inch.
What is square root?A number's square root is a quantity that, when multiplied by itself, yields the original quantity. There are two ways to calculate the square root of a number: method of prime factorization and division strategy.
For example, both 3 and –3 are square roots of 9
The length of the diagonal of his laptop monitor is squared root of 290
Let 'D' be the diagonal of the monitor.
The,
Diagonal = √290
Use long division method to solve the value,(attached in the file)
√290 = 17.029
= 17.03
Therefore, the value of √290 rounds to the nearest whole inch is 17 inch.
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The correct question is -
Carlos found that the length of the diagonal of his laptop monitor is squared root of 290. If the manufacturer rounds to the nearest whole inch, what size is the monitor as measured by the diagonal? 12 17 97 245
Related Questions
A credit card company uses these rules to calculate the minimum amount owed: • For a bill of less than $100, the entire amount is due. • For a bill of at least $100 but less than $500, the minimum due is $100. • For a bill of at least $500 but less than $1,000, the minimum due is $300. • For a bill of $1,000 or more, the minimum due is $500. Which graph shows the minimum amount due for a credit amount of × (given that the credit limit is $2,000). O A. graph A O B. graph B O C. graph C O D. graph D
Answers
The graph that shows the minimum amount due for a credit amount of x given that the credit limit is $2,000 is graph B.
How to illustrate the information?Let x represent the credit amount and y represent the minimum amount due.
For a bill of less than $100, the entire amount is due. That is for 0 ≤ x < $100, y = x
For a bill of at least $100 but less than $500, the minimum due is $100. That is for $100 ≤ x < $500, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300. That is for $500 ≤ x < $1000, y = $300
For a bill of $1,000 or more, the minimum due is $500. But the credit limit is $2000. That is For $1000 ≤ x < $2000, y = $500
The graph that shows the minimum amount due for a credit amount of x is graph B.
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What is the common ratio in this recursive
definition?
Answers
Answer:
r = -1.5
Step-by-step explanation:
recall that ,the recursive formula for a geometric sequence [tex]a_n[/tex] is :
[tex]a_{n} = r \times a_{n-1} \ \ \text{where r is the common ratio }[/tex]
therefore
The common ratio of the sequence:
[tex]a_{n} = -1.5 \times a_{n-1}[/tex]
is r = -1.5
Visual Description for Figure 1
Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.
1. What transformations would you use on the blue segment CD to get it to match with the red segment C2D2? Explain your movement using the coordinates of the vertices.
2.
What transformations would you use on the blue triangle to get it to match with the red triangle? Explain your movement using the coordinates of the vertices.
3.
Which line segments on the boat are parallel? Explain your answer.
4.
Which line segments on the boat are perpendicular? Explain your answer.
5.
Which line segments on the boat have a slope of 0? Explain your answer.
6.
Which line segments on the boat have an undefined slope? Explain your answer.
7.
What is the slope of ED? Explain your answer using the change in coordinates given that E is at (−11,4) and D is at (−10,5).
Answers
A) Rotate by 90° counterclockwise.
B) Reflection transformation about the line y = 5.
C) Parallel Lines are C₂D₂ and A₂B₂; EF and E₁F₁.
D) Perpendicular lines are; D₁F₁ and E₁F₁; DF and EF; DC and AB.
E) Line segments with slope of 0 are; AB, C₂D₂, A₂B₂, EF and E₁F₁
F) Line segments on the boat that have an undefined slope are; Lines A₁B₁, DF and DC.
G) Slope of Line ED = 1
How to carry out Transformations?A) The blue segment CD is seen on the graph as a perpendicular line with 2 units while the line segment C₂D₂ is seen as a horizontal line. Thus, to match CD with C₂D₂, we will rotate by 90° counterclockwise.
B) The transformations that would be used on the blue triangle to get it to match with the red triangle is a reflection transformation about the line y = 5.
C) The line segments that are parallel to each other are; C₂D₂ and A₂B₂; EF and E₁F₁.
D) The line segments that are perpendicular are; D₁F₁ and E₁F₁; DF and EF; DC and AB.
E) Horizontal lines that are parallel to the x-axis have zero slope. Thus, AB, C₂D₂, A₂B₂, EF and E₁F₁ all have zero slopes.
F) Undefined slope is the slope of a vertical line. Thus, Lines A₁B₁, DF and DC have undefined slopes.
G) Slope of ED = (5 - 4)/(-10 - (-11))
Slope of ED = 1/1
Slope = 1
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Use the image below to describe at least three different ratios, written in simplest form. Include at least one part-to-part ratio and one part-to-whole ratio.
8 out of 36 squares unfilled*
HELP ASAP!!!!!!!!!!!!
Answers
The different ratios are 2 : 7, 2 : 9 and 7 : 9
How to determine the ratio?The statement is given as:
8 out of 36 squares unfilled
This means that:
There are 36 squares8 are unfilled28 are filledThe part-to-part ratio is represented as:
Ratio = Unfilled : Filled
This gives
Unfilled : Filled = 8 : 28
Simplify
Unfilled : Filled = 2 : 7
The part-to-whole ratios are represented as:
Ratio = Unfilled : Total
Ratio = Filled : Total
So, we have:
Unfilled : Total = 8 : 36
Filled : Total = 28 : 36
Simplify
Unfilled : Total = 2 : 9
Filled : Total = 7 : 9
Hence, the different ratios are 2 : 7, 2 : 9 and 7 : 9
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Convert the rational number below to a decimal. Round to the nearest hundredth when necessary. 3/5
Answers
Answer: 0.6
Explanation: You need to divide 3 by 5 and it will give you the answer of 0.6
Triangle ABC Is shown on the coordinate plane.
What is the area of AABC?
OA 22.63 square units
OB. 24 square units
OC 48 square units
OD.
m. All rights reserved
16.97 square units
4
A(4.4)
-6
8-3,-3
6
42
A
42
4
-6-
C(3,3)
Answers
Answer: B
Step-by-step explanation:
Using the distance formula, we get the height is [tex]4\sqrt{2}[/tex].
Similarly, we get the base is [tex]6\sqrt{2}[/tex].
So, the area is [tex]\frac{1}{2}(4\sqrt{2})(6\sqrt{2})=24[/tex]
ƒ(1) = −16 [ƒ(1)
f(n) = -29 - f(n-1)
what is f(2)=
Answers
Answer:
f(2) = -13
Step-by-step explanation:
Evaluate the given formula with the given value of the variable.
Applicationf(1) = -16 . . . . . . . . . . given
f(n) = -29 -f(n-1) . . . . given
For n = 2, we have ...
f(2) = -29 -f(2-1) = -29 -f(1) = -29 -(-16) . . . . put 2 in place of n and evaluate
f(2) = -13
Please help!! is there a solution to z³ = x³ + y³ for a right triangle?
Answers
There are no solutions for z³ = x³ + y³ for a right triangle
How to determine the true statement?The equation is given as:
z³ = x³ + y³
By Pythagoras theorem, we have:
z² = x² + y²
Multiply both sides by z
z³ = zx² + zy²
By comparing z³ = zx² + zy² and z³ = x³ + y³, we have:
x³ + y³ = zx² + zy²
Factor out z
x³ + y³ = z(x² + y²)
Make z the subject
z = (x³ + y³)/(x² + y²)
There exist no solution for the above equation
Hence, there are no solutions for z³ = x³ + y³ for a right triangle
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7. The table below shows the soft drinks preferences of people in two age groups.
Sprite
Lemonade
20
30
50
Under 21 years of age
Between 21 and 40
Totals
25
35
60
If one of the 110 subjects is randomly selected, find the probability that:
a) A person prefers to drink sprite
b) A person is between 21 and 40 years old.
c) A person drinks lemonade given they are between 21 and 40.
d) A person drinks Sprite given they are under 21 years of age.
Totals
45
65
110?
Answers
Using it's concept, the probabilities are given as follows:
a) 0.5455 = 54.55%.
b) 0.5909 = 59.09%.
c) 0.4615 = 46.15%.
d) 0.5556 = 55.56%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
Out of 110 people, 60 prefer sprite, hence the probability is:
p = 60/110 = 0.5455 = 54.55%.
Item b:
Out of 110 people, 65 are between 21 and 40, hence the probability is:
p = 65/110 = 0.5909 = 59.09%.
Item c:
65 people are between 21 and 40, and of those, 30 drink lemonade, hence the probability is:
p = 30/65 = 0.4615 = 46.15%.
Item d:
45 people are under 21 years of age, and of those, 25 drink sprite, hence the probability is:
p = 25/45 = 0.5556 = 55.56%.
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State all integer values of x in the interval [2,8] that satisfy the following inequality: 5x+ 4 > 19
Answers
The following integer values of x satisfy the given inequality,
4, 5, 6, 7, 8
What is an inequality?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made using inequality.
Solving the Inequality
The given inequality is,
5x + 4 > 19
5x > 19 - 4
5x > 15
x > 15/5
x > 3
So, the required values of x must be greater than 3 in the given interval, [2,8]
Thus, the integer values of x in the the interval [2,8] that satisfy the given inequality are 4, 5, 6, 7 and 8 (∵ Square brackets of an interval denote inclusion of the terminal values).
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What is the net force acting on the crate? 352 n to the left 176 n to the left 528 n to the right 440 n to the right
Answers
The net force acting on the crate is the sum of all the forces acting in the different directions on the crate, which is 176 N to the left.
What is net force?The net force is defined as the sum of all the forces acting on an object.
From the figure given that,
Upward force = 440 N
Downward force = - 440 N
Rightward force = 176 N
Leftward Force = - 352 N
The net vertical force acting on the crate = Upward force + Downward force
= 440 N + (-440 N)
= 0 N
The net horizontal force acting on the crate = Rightward force + Leftward force
=176 N + (- 352 N)
= - 176 N
Hence, the net force acting on the crate is - 176 N, which is 176 N to the left.
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Answer:
175N to the left
Step-by-step explanation:
Find angle ABH please please
Answers
Answer: 47°
Step-by-step explanation:
Select all the correct answers.
Consider functions f and g.
f(x) = - 2 cos (x - 1) + 3
g(x) = 2 cos (x + 3) - 3
Which statements describe transformations of the graph of fresulting in the graph of function g?
A. The graph of function f has been vertically stretched by a factor of 4.
B. The graph of function fhas been reflected over the y-axis.
C. The graph of function fhas been reflected over the x-axis.
D. The graph of function fhas been translated 3 units down.
D. The graph of function fhas been translated 4 units left.
E. The graph of function fhas been translated 3 units left.
((More than one))
Answers
The function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
How to determine the characteristics of rigid transformations by comparing two functions
In this problem we have two functions related to each other because of the existence of rigid transformations. Rigid transformations are transformations applied to geometric loci such that Euclidean distance is conserved at every point of the geometric locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of horizontal translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
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What are the center and radius of the equation (x-2)^2 + (y-9)^2 = 36?
Answers
Answer:
center (2, 9); radius 6
Step-by-step explanation:
Standard equation of a circle:
(x - h)² + (y - k)² = r²
where the center is (h, k), and r is the radius.
You have
(x - 2)² + (y - 9)² = 36
(x - 2)² + (y - 9)² = 6²
Compare this last form to
(x - h)² + (y - k)² = r²
h = 2; k = 9; r = 9
Answer: center (2, 9); radius 6
Answer:
centre = (2, 9 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
(x - 2)² + (y = 9)² = 36 ← is in standard form
with centre (2, 9 ) and r² = 36 ⇒ r = [tex]\sqrt{36}[/tex] = 6
Derek wants to determine the height of the top of the backbpard on the basketball goal at the playground. He places a standard 12-
inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 11 inches and
the backboard has a shadow of 7.5 feet, then about how high is the top of the backboard?
Answers
the actual height of the backboard is 8.18 feet.
What is proportion?A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
Given
We have been given that Derek places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches. We are asked t find the height of the backboard, if the backboard has a shadow of 8.5 feet.
We will use proportions to solve our given problem as ratio between sides ruler will be equal to ratio of sides of background.
[tex]\frac{Actual height of ruler}{Shadow of ruler} = \frac{Actual height of black board}{Shadow of black board} \\\\\frac{12}{11} =\frac{Actual height of black board}{7.5} \\\\Actual height of black board = \frac{12}{11} * 7.5 = 8.18\\[/tex]
Therefore, the actual height of the back-board is 8.18 feet.
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Which number is a perfect cube?
21
49
343
600
Answers
Answer:
343
Step-by-step explanation:
7 cubed = 7 x 7 x 7 = 343
so, 343 is a perfect cube.
Answer:
C
Step-by-step explanation:
Direct to Coordinates
plot the point A (2, 3) then, plot point b that is 4 right and 5 up from point A.
Plot the point C (9, 7). Then, plot another point D that is 8 left and 2 down from point C.
Answers
Point A is at A(2, 3) while point B is 4 right and 5 up from point A. Point B is at B(6, 8). Also, point C is at C(9, 7). Point D is 8 left and 2 down from point C which is at D(1, 5).
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Point A is at A(2, 3) while point B is 4 right and 5 up from point A. Point B is at B(6, 8). Also, point C is at C(9, 7). Point D is 8 left and 2 down from point C which is at D(1, 5).
The location of point A, B, C and D is located on the graph.
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A researcher reports an f-ratio with df = 3, 36 for an independent-measures experiment. How many treatment conditions were compared in this experiment?
Answers
There were 4 number of treatment conditions compared in this experiment for the given degree of freedom.
We have,
df = 3, 36
Now,
We know that,
Degree of freedom (df) = Number of treatments (t) - 1
i.e.
df = t - 1
So,
We have,
df = 3
Now,
Substituting the values,
We get,
3 = t - 1,
i.e.
t = 4
So, number of treatments conditions = 4
Hence we can say that there were 4 number of treatment conditions compared in this experiment for the given degree of freedom.
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Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Answers
The systems of linear equations have been matched with their respective solutions as shown in the image attached below.
What is a system of linear equations?A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.
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A $6$-sided die is weighted so that the probability of any number being rolled is proportional to the value of the roll. (So, for example, the probability of a $2$ being rolled is twice that of a $1$ being rolled.) What is the expected value of a roll of this weighted die
Answers
The expected value of a roll of this weighted die is; 13/3 or 4.33
How to find the Expected Value?We are given that;
A $6 sided die is weighted.
Probability of any number being rolled is proportional to the value of the roll.
Probability of a $2 being rolled is twice that of a $1 being rolled.
Thus, the expected Value is;
E(x) = (1*1 + 2*2 + 3*3 + 4*4 + 5*5 + 6*6)/(1 + 2 + 3 + 4 + 5 + 6)
E(x) = 13/3 = 4.33
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HELP ASAP
x =x=x, equals
^\circ
∘
Answers
Answer:
[tex]\huge\boxed{\sf x = 55\°}[/tex]
Step-by-step explanation:
Given that,
x° + 35° = 90° (complementary angles)
Subtract 35 to both sides
x = 90 - 35
x = 55°
[tex]\rule[225]{225}{2}[/tex]
A rectangular prism measures 8 m by 4 m by 5 m. What is its volume?
Answers
Answer:
160 m³
Step-by-step explanation:
the volume of a rectangular prism is equal to :
= Base × height
= length × width × height
………………………………………
= 8 × 4 × 5
= 160
Note : the length can be 8 or 5
and the width can be 4 or 5
Help me please and thank you!
Answers
Answer: B
The main word that gives the answer away is product, which means to multiply.
In an arithmetic sequence the first term is 2 and the second term is 5 , find the eighth term
Answers
Answer:
23
Step-by-step explanation:
Arithmetic sequence:In arithmetic sequence, the difference between any consecutive terms is constant and the progression goes either in ascending order or in descending order.
a = first term = 2
a₂ = 5
difference = d = second term - first term
= 5 - 2
d = 3
Formula for finding nth term in arithmetic sequence:
[tex]\sf \boxed{t_n = a + (n-1)*d}[/tex]
t₈ = 2 + (8 -1) * 3
= 2 + 7 *3
= 2 + 21
t₈ = 23
If both cars in Exercise 62 are on one side of the plane and if the angle of depression to one car is 38∘ and that to the other car is 52∘, how far apart are the cars?
Answers
The two cars lying on one side of the plane are 50 meters apart.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
let us assume that the height is 100 m. Let d represent the horizontal distance. For depression of 38°, Ф = 90 - 38 = 52°, hence:
tan(52°) = d / 100
d = 128 m
For depression of 52°, Ф = 90 - 52 = 38°, hence:
tan(38°) = d / 100
d = 78 m
Distance apart = 128 - 78 = 50 m.
The two cars lying on one side of the plane are 50 meters apart.
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pls help me w this, i need it answred asap
Answers
Answer:
A
Step-by-step explanation:
As angles in a triangle add to 180 degrees, angle C measures 35 degrees.
Therefore, the answer is A, since thr triangles will be similar by AA.
The propeller blades on a submarine have a radius of 6 feet. At full speed, they turn at 120 revolutions per minute. What is the angular velocity, in radians per minute, at the tip of the blade? Round your answer to the nearest hundredth.
Answers
Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each revolution has [tex]2\pi[/tex] radians, hence in one minute, the 120 revolutions will have a measure in radians of:
M = 120 x 2pi = 240pi = 753.98
Hence the angular velocity is of 753.98 radians per minute.
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An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = -4.9t2 +19.6t + 58.8, where s is in meters. How high will the object be after 3 seconds?
A)73.5 feet
B)98.49 feet
C)333.69 feet
D)161. 7 feet
Answers
The ball will be 73.5 meters above the ground after a time of 3 seconds. (Correct choice: A)
What is the height of the object after launch?
Herein we have an equation that models the height of the ball as function of time, we need to evaluate the expression for t = 3 s to find the required height:
s(3) = - 4.9 · (3 s)² + 19.6 · (3 s) + 58.8
s(3) = 73.5 m
The ball will be 73.5 meters above the ground after a time of 3 seconds. (Correct choice: A)
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i need help!!!!!!!!!!!!!! how many pound are in 40 ounces. this is off or i ready. please help me!!!
Answers
Answer:
2.5 pounds
Step-by-step explanation:
Jorge wrote the equation negative 6 x 4 x = 8. what is the value of x? –4 –2 2 4
Answers
Option (A) - 4 is the correct answer.
The value of x for linear equation -6x + 4x = 8 is - 4.
What is linear equations in one variable?If a variable's maximum power constantly equals 1, the equation is considered linear equation. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. Here, A is a coefficient, B is a constant, and x is a variable.
The given equation is -6x + 4x = 8.
Simplifying the above equation.
-2x = 8
Now, dividing both sides by -2.
x = -4
Therefore the value of x in equation -6x + 4x = 8 is -4.
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I understand that the question you are looking for is " Jorge wrote the equation -6x + 4x = 8. What is the value of x?
(A) –4
(B) –2
(C) 2
(D) 4 "
Answer: (A): -4
Step-by-step explanation:
It's the correct option.