The values of t that satisfy the inequality are less than 1.25
How to determine the value of tFrom the question, we have the following parameters that can be used in our computation:
8 > 3+ 4t
Evaluate the like terms
So, we have
5 > 4t
Divide both sides by 4
So, we have the following representation
1.25 > t
Rewrite as
t < 1.25
This means that the values of t that satisfy the inequality are less than 1.25
None of the options are applicable
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Complete question
Which of the t-values satisfy the following inequality?
8 > 3+ 4t
Choose all answers that apply:
(Choice A) t = 12
(Choice B)t = 16
(Choice C)t = 20
Please help I don’t understand And I need an explanation
Hey there! :)
Answer:
56 m².
Step-by-step explanation:
To find the area, simply split the figure into a triangle and rectangle. Solve for the areas separately:
Solve for the rectangle: (A = l × w)
A = 8 × 5
A = 40 m²
Solve for the triangle: (A = 1/2 (bh))
A = 1/2(4 · 8)
A = 1/2(32)
A = 16 m².
Add up the two areas:
40 + 16 = 56 m².
Answer:
Area of triangle+ the area of rectangle
Step-by-step explanation:
Since, area of triangle is 1/2×base×height in right angled triangle, 1/2×4×8: 1/2×32= 16m²
Area of rectangle is length × breadth= 5×8: 40 m²
Area of the shape is 40m²+16m²= 56m²
Over the last three evenings, Yolanda received a total of 105 phone calls at the call center. The first evening, she received 9 more calls than the second evening. The third evening, she received 4 times as many calls as the second evening. How many phone calls did she receive each evening?
Answer:
Day 1: 25, Day 2: 16, Day 3: 64
Step-by-step explanation:
First you need to form an equation using unknowns, below i have used x to represent the number of calls
Day 1: x+9
Day 2: x
Day 3: 4x
105-9 (as day 1 is x+9) = 96
4 + 1 + 1 = 6 (6x)
96/6 = 16
x = 16, so Day 2 = 16
16 + 9 = 25
16 x 4 = 64
To check, 16 + 25 + 64 = 105
Hope this helps :D
6. What is the first step in financial planning?
Answer:
determining your current financial situation.
Step-by-step explanation:
Answer:
determining your current financial situation
Step-by-step explanation:
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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If the length and breadth of a rectangle is 18 m and 15 m. Find its perimeter.
Hi! I can help you with \(joy!\)
The formula for finding the perimeter of a rectangle \(is:\)
P= 2(a+b) \(:)\)
Plug in the numbers and \(smile\)
P=2(18+15) \(;)\) (\(wink)\)
P=2(33)
P=66
Hope it's correct!
Answered by
⭐︎\(Rosalind\)⭐︎
= 2(18+15) m
= 2(33) m = 66m
Its perimeter is 66m.
Thank you
Need help on this question please
===========================================================
Explanation:
Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.
The two angles form a 180 degree straight angle
(4x+13) + (9x-2) = 180
4x+13 + 9x-2 = 180
(4x+9x) + (13-2) = 180
13x + 11 = 180
13x+11-11 = 180-11 .... subtracting 11 from both sides
13x = 169
13x/13 = 169/13 .... dividing both sides by 13
x = 13
We can verify this by noticing that
4x+13 = 4*13+13 = 65
9x-2 = 9*13-2 = 115
So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.
-----------------
The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary
Let's use x = 13 to find the value of y
(9x-2) + (6y-1) = 180
9x-2+6y-1 = 180
9x+6y-3 = 180
9*13+6y-3 = 180 .... plug in x = 13
117+6y-3 = 180
6y+114 = 180
6y+114-114 = 180-114 .... subtract 114 from both sides
6y = 66
6y/6 = 66/6 ...... divide both sides by 6
y = 11
To help confirm,
6y-1 = 6*11-1 = 65
which adds onto the (9x-2) = 115 degree angle to get 180.
-----------
Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.
What is the period of y = sin(3x)?
sin 3 x = sin ( 3 x + 2 π ) = sin [ 3 ( x + 2 π/ 3 ) ] = sin 3 x
This means "after the arc rotating three time of ( x + ( 2 π /3 ) ) , sin 3x comes back to its initial value"
So, the period of sin 3x is 2 π /3 .
What is the image of the point (0,6) after a rotation of 90° counterclockwise about
the origin
Using translation concepts, the image of point (0,6) after a rotation of 90° counterclockwise about the origin is (-6,0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The rule for a 90º counterclockwise rotation about the origin is:
(x,y) -> (-y,x).
Hence, the image of point (0,6) is given by:
(0,6) -> (-6,0).
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For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer:
the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"
Step-by-step explanation:
I got it right one edge
From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The table shows the set of measures, we need to determine which condition can make triangles.
Condition 1:
AB = 15 cm, BC = 20 cm, ∠B = 40°
By SAS criteria, this condition can form a triangle.
Condition 2:
AB = 20 cm, BC = 15 cm, ∠C = 40°
Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.
Condition 3:
BC = 10 cm, BC = 5 cm, ∠A = 20°
Here side length of BC alone is given. With one side and one angle, no triangle can be formed.
Condition 4:
AC = 5 cm, BC = 10 cm, AB = 14 cm
Here three sides are given, so we can form a triangle.
Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
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11.
8. The graph below shows the price Joanna
sells tomatoes according to their weight.
Write an equation for the graph.
h
H
Tomato Prices
12
10
Price (in dollars)
12
12.
Weight
(in pounds)
a. y = -x
6
10
b. y =
12
c.
=
d. y = x
Answer:
the question is invalid. please rewrite the question.
291 divided 6 = what ? R ?
Answer: 48 R3
Step-by-step explanation:
I have to convert decimal to percent
Answer:
all the answers are in the image above
Step-by-step explanation:
see above image
Solve the absolute value inequality 3x-1<8
Answer:
3
Step-by-step explanation:
3x - 1 < 8
Solve this inequality like a two-step equation.
Add 1 to both sides to cancel the -1.
3x - 1 < 8
3x < 9 Divide both sides by 3 to cancel the 3 in 3x.
x < 3
Find the absolute value (distance the number is from 0).
Absolute value = 3
I hope this helps and please mark me as brainliest!
The measures of the angles In alinear pair are x degree and (x+25) degree. Find the measures of each of them
Answer:
77.5° and
102.5°
Step-by-step explanation:
Angles in a linear pair sum up to 180°
Therefore, x + (x +25) = 180
x + x +25 = 180
2x + 25 = 180
2x = 180- 25
2x 155°
dividing bothsides by 2
x = 155/2
x = 77.5
Therefore,
x = 77.5°
(x+25) = 77.5 + 25 = 102.5°
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
A student is taking a multiple choice test that has 30 questions. She needs to answer at least 20
questions to submit her test. In order to earn a passing grade, she needs to get at least as many
questions correct as she got incorrect (not left blank). In order to qualify for a scholarship, she
needs to score at least 100 points, where correct answers are worth 15 points each, and each
incorrect response is 7 points off
S-348
a-1.7 t
Area
Perimeter
Type
s = 3.3 yds
a = 1 65 yds
Area
Perimeter:
Type:
7)
s=5.4 mm
a = 2.57 mm
Area:
Perimeter:
Type:
Identify and Calculate the Area and Perimeter for ea
2)
a-8.2 yds
c-94 yds
Area
Perimeter.
Type:
5)
a
b
Ares
8)
a 66 cm
Triangle
h
Perimeter
Type.
Area
b-4.6 yds
a
h- 5.98 cm
Trapezoi
a=2.5 cm
a-1.25 cm
Perimeter
Type
Can someone solve help solve these???
1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.
Answer:
Step-by-step explanation:
The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: A = 1 with eigenvector = [] and generalized eigenvector - [1-3]. Write the solution to the linear system' = Ar in the following forms. A. In eigenvalue/eigenvector form: [x(t)] = C1 [8] 248-89 + e B. In fundamental matrix form: [x(t)] [y(t)] [188 C. As two equations: (write "c1" and "c2" for c₁ and c₂) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 47 and other generalized eigenvectors like - 37. Just remember that if you change , you must also change for its fundamental solution!
The solution for the linear system will be , x(t) = 4 c₁e^t + 4 c₂e^t and
y(t) = -c₂e^t + c₂(1 - t)e^t .
The solution is given by ,
matrix | x y | = c₁ .v . e^λt + c₂( w + v.t ) e^λt
Given that the matrix has repeated eigenvalue with eigenvector generalized vectors ,
λ = 1 with eigenvector v = [ 4 , -1 ] and generalized vectors w =[ 0,1 ].
then the solution will be,
c₁ [ 4 , 1 ] e^t + c₂[ 0 , 1] + [ 4 , -1 ] )e^t
therefore,
x(t) = 4 c₁e^t + 4 c₂e^t
y(t) = -c₂e^t + c₂(1 - t)e^t
Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.
Matrix multiplication, for example, depicts the combination of linear maps.
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If a watch costs $ 40 and you must pay 6.5 % sales tax
Step-by-step explanation:
you will end up paying $66 dollars
do two lines that intersect make 4 right angles
Answer:
if they are perpendicular
Answer:
Yes
Step-by-step explanation:
Two lines that intersect each other can intersect each of perpendicularly, which forms 4 right angles.
I hope this helps!
What is the slope of the line passing through the points (1,57)
(
1
,
5
7
)
and (2,27)?
someone please help I will give biranlyest to who ever is right.
Answer:
A. cd4
Step-by-step explanation:
Find the probability that the spinner will land on gray and then purple
Answer:
true the question is true and wait for others my could be wrong also
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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Stefanie bought a package of pencils for \$ 1.75$1.75 and some erasers that cost \$ 0.25\$0.25 each. She paid a total of \$ 4.25$4.25 for these items, before tax
Exactly how many erasers did Stefanie buy?
The number of eraser Stefanie bought is 10.
How to find the number of eraser she bought?Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items, before tax.
Therefore, the number of eraser Stefanie bought can be calculated as follows;
let
x = number of eraser bought
Therefore,
4.25 = 1.75 + 0.25x
subtract 1,75 from both sides of the equation
4.25 - 1.75 = 1.75 - 1.75 + 0.25x
2.5 = 0.25x
divide both sides by 0.25
x = 2.5 / 0.25
x = 10
Therefore,
number of eraser = 10
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What is the area of
the segment? Express
the answer in terms
of pi.
The area of the segment is 9( π-2) units²
What is area of segment?The area of a figure is the number of unit squares that cover the surface of a closed figure.
A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.
Area of segment = area of sector - area of triangle
area of sector = 90/360 × πr²
= 1/4 × π × 36
= 9π
area of triangle = 1/2bh
= 1/2 × 6²
= 18
area of segment = 9π -18
= 9( π -2) units²
therefore the area of the segment is 9(π-2) units²
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Find the area of the parallelogram
Answer:
1191 cm²
Step-by-step explanation:
Area of parallelogram = base X vertical height.
Call the vertical line h.
h/ sin 80 = 7/ sin 10
h = (7 sin 80) / sin 10
= 39.7.
Area of parallelogram = 30 X 39.7
= 1191 cm²
The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.
Given:
Side length = 30 cm
Using Trigonometry
tan 80 = P / Base
5.6712 = P / 7
P = 39.6984 cm
Using the formula for Area of parallelogram
= Base x height
= 30 x 39.6984
= 1,190.952 square cm.
Therefore, the area is 1,190.952 square cm.
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2x-3\(\geq\) 0
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
Question 3 A 44-metres long fire-fighting ladder is leaned against a building, as shown in the diagram. The base of the ladder is 7 metres from the building and 3 metres above the ground. How high on the building will the ladder reach?
The ladder will reach a Height of approximately 43.46 meters on the building.
To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.
Using the Pythagorean theorem, we can set up the equation:
(Height of the building)^2 + 7^2 = 44^2
Simplifying the equation, we have:
(Height of the building)^2 + 49 = 1936
Subtracting 49 from both sides, we get:
(Height of the building)^2 = 1887
To find the height of the building, we take the square root of both sides:
Height of the building = √1887
Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.
Therefore, the ladder will reach a height of approximately 43.46 meters on the building.
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