Answer:
d) 3
Step-by-step explanation:
4t^2 +5t -1
in this equation there are 3 terms:
4t^2, 5t, and -1
Answer:
answer is 3 because there are 4t square + 5t -1
1 2. 3
Find the area of the trapezoid.
10.5 cm
9.28 cm
21.1 cm
[ ? ] cm2
Enter the exact answer. Do not round.
Answer:
A=a+b
2h
Step-by-step explanation: A base
b base
H height
A≈208.68 aint the best ☁️
☁️
☁️
\|/
☁️
☁️ ☁️
_
Answer:
146.624
Step-by-step explanation:
double checked it after using a search engine and the comment on the post above me, a cellus said it was correct.
A company gives each worker a cash bonus on every Friday randomly giving a co-worker and amount with these probabilities $10.75 $50.25 over many weeks what is the expected workers weekly bonus
Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth.
A)
315.04 in 2
B)
370.62 in2
C)
395.84 in 2
D)
408.92 in 2
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
it will be 4 because it can't share it's vertex ✌
A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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Please answer, this as quick as possible, it’s very important for me, I’ll give brainliest if it’s correct, and try not to use chatgpt or you’ll get reported
Answer:
Your calculator should be in radian mode.
a)
\(f(x) = 56 \sin( \frac{2t\pi}{12} + \frac{\pi}{2} ) + 4\)
b)
\(f(x) = 56 \cos( \frac{2t\pi}{12} - \frac{\pi}{2} ) + 4\)
c)
The height of the wheel's central axle is 32 meters.
f(x) = 56sin((2(x + 4)π/12) - (π/2)) + 4
WILL GIVE BRAINLIEST PLEASE HELP!
The correct statement regarding the angle measures is given as follows:
m < 1 + m < 4 > m < 3.
How to obtain the angle measures?The given angle measure is as follows:
m < 3 = 119º.
Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.
Hence the measure of angle 4 is given as follows:
m < 4 + m < 3 = 180º.
m < 4 = 180º - 119º
m < 4 = 61º.
Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:
m < 1 = m < 4
m < 1 = 61º.
Hence:
m < 1 + m < 4 = 2 x 61
m < 1 + m < 4 = 122º
122º > 119º
m < 1 + m < 4 > m < 3.
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In the figure below, BD bisects ∠ABC. What is the length of AB?
Select the best choice from the answers provided.
A.) 3
B.) 6
C.) 8
D.) 12
Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find p(x > 4).
The required p(x > 4) when the probability of success and number of trials in the binomial process are given is calculated to be 0.01024.
It is given that the success is 40 percent.
So, the probability of success (p) is 0.40.
The number of trials (n) is 5.
Now, let us find out p(x > 4)
p(x > 4) = p(5)
⇒ ⁵C₅ (0.4)⁵ (1 - 0.4)⁰
⇒ 1 × (0.4)⁵ × 0.6
⇒ 0.01024
Thus, the required p(x > 4) is calculated to be when the probability of success and number of trials in the binomial process are found out.
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Given that p(x)=2(5−x)2+1 , what is the value of p(-4)? Responses
Answer:
37
Step-by-step explanation:
x=-4
=2(5-(-4)2+1
=2(5+4)2+1
=2(9)2+1
=18(2)+1
=36+1
=37
What is the volume of the prism below?
A prism has a length of 1, height of 1 and three-fourths, and width of 2.
2 and three-fourths units3
3 and one-half units3
5 units3
8 units3
Answer:
it is c
Step-by-step explanation:
5 units 3 i think
Answer:
Its B (3 1/2)
Step-by-step explanation:
The standard deviation of the scores on a skill evaluation test is 354354 points with a mean of 14581458 points. If 313313 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 4040 points? Round your answer to four decimal places.
Answer:
\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)
\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)
And we can find this probability with this difference and using the normal standard distribution or excel and we got:
\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)
Step-by-step explanation:
For this case we know the following parameters:
\( \mu = 1458, \sigma = 354\)
We select a sample size of n = 313 and we want to find the following probability:
\( P( 1458- 40 <\bar X < 1458 + 40)= P(1418< \bar X < 1498)\)
And we can use the z score formula given by:
\( z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)
And using this formula we have:
\( z =\frac{1418-1458}{\frac{354}{\sqrt{313}}}= -2.0\)
\( z =\frac{1498-1458}{\frac{354}{\sqrt{313}}}= 2.0\)
And we can find this probability with this difference and using the normal standard distribution or excel and we got:
\( P(-2<z<2) = P(z<2) -P(z<2)= 0.977-0.0228 = 0.9542\)
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
What is the image of (-9,12)(−9,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
In the given question,
We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.
Since we have to find the image after a dilation.
So we learn about it now,
Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.
So the given point is (-9,12).
Scale factor is 1/3.
So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as
=(-9×1/3,12×1/3)
Simplifying
=(-3,4)
Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).
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V’s Warehouse has a market value of $880,000. The property in V’s area is assessed at 35% of the market value. The tax rate is $58.90 per $1,000 of assessed value. What is V’s property tax?
Answer:
$18,141.20
Step-by-step explanation:
The assessed value is $880,000 × 0.35.
The tax will be ...
(58.90/1000) × (0.35 × $880,000) = $18,141.20
evalutata the expression for x=4 6+(10-x)² -20
Answer:
6+(10−4) ^2-20
Subtract 4 from 10 to get 6.
6+6 ^2-20
Calculate 6 to the power of 2 and get 36.
6+36−20
Add 6 and 36 to get 42.
42−20
Subtract 20 from 42 to get 22.
Step-by-step explanation:
So basically, the answer is 22. let me know if i am wrong or right i haven't done these in the longest hope you have a good day :)
Apply the distributive property to factor out the greatest common factor. 90+27= equals
Answer:
1.
90+27
2.
90 = 9 x 10
3.
27 = 9 x 3
4.
So apply the distributive property would be:
90 + 27 = 9(10 + 3)
Step-by-step explanation:
Answer:
The greatest common factor of 90 and 27 is 9.
Using the distributive property , you could write: 9(10 + 3)
plz solve it
If x= 3/4 and y = 7/8 , check that x +y = y + x.
Write the equation of parabola if points (-1,3),(0.5,4.5) and (0,3) belong to it.
The equation of the parabola is y = 2x²+2x+3 if the points (-1,3),(0.5,4.5) and (0,3) belong to it.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
Let's assume the equation of the parabola is:
\(\rm y = ax^2+bx+c\)
The points (-1,3), (0.5,4.5) and (0,3) belong to it.
Putting these points in the parabola equation, we get:
\(\rm 3 = a(-1)^2+b(-1)+c\\\\\rm a-b+c = 3 \ .....(1)\)
\(\rm 0.25a+0.5b+c = 4.5\) ....(2)
\(\rm c = 3\) ....(3)
The above shows a linear equation in three variables after solving, we get:
a = 2, b = 2, and z = 3
\(\rm y = 2x^2+2x+3\)
Thus, the equation of the parabola is y = 2x²+2x+3 if the points (-1,3),(0.5,4.5) and (0,3) belong to it.
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what are the answers to these two questions? thank you.
10. Based on the chord theorem, x ≈ 12.5
11. Using the hint given, x = 60
What is the Chord Theorem of Circles?According to the chord theorem, when a radius of a circle is perpendicular to a chord within the circle, the radius divides the chord into two equal parts.
10. Based on the chord theorem, the radius bisects the segment that measures 23 units into two segments, each measuring 23/2 = 11.5. Apply the Pythagorean theorem to find x.
x = √(11.5² + 5²)
x ≈ 12.5
11. Using the hint, we have:
(BC)(AB + BC) = (CD)(x + CD)
Substitute:
(14)(36 + 14) = (10)(x + 10)
700 = 10x + 100
700 - 100 = 10x
600 = 10x
600/10 = x
x = 60
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State where in the ty-plane the hypotheses of the Existence and Uniqueness Theorem are satisfied for the equation y'=(ycot(2t))/(t^2+y^2+1)
We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.
Where in the ty-plane the hypotheses of the existence and uniqueness theorem are satisfiedThe Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:
1. f(t, y) is continuous in the region.
2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.
then there exists a unique solution to the differential equation that passes through any point in the region.
In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:
f(t, y) = (y cot(2t)) / (t² + y² + 1)
This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.
To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:
∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²
Taking the absolute value and simplifying, we get:
|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|
= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|
Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:
1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1
Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.
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three times a number increased by 12 is equal to five times the same number decreased by 18. Find the number.
the answer is 15. but i need the solution
Answer:
Step-by-step explanation:
Let us say that the number is x
Now , According to the question ,
let us start by considering the L.H.S first i.e. three times a number increased by 12 i.e. 3^x+12 -------(1)
Now , consider R.H.S i.e. Five times the same number decreased by 18 i.e.
5^x-18-------------(2)
Now we are given that both the numbers are equal so here we equate eqn (1) and eqn (2)
⇒ 3x + 12 = 5x - 18
⇒ 12 +18 = 5x - 3x
⇒ 30 = 2x
⇒ 2x = 30
⇒ x = 30/2
⇒ x = 15
∴ Hence 15 is the required number
Solve for x
Plz help!
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
A total of 100 people went to the
movies. A ticket cost $4 for adults and
$2 for children. The total sales
amounted to $276. How many children
and adults attended the movies?
Using a system of equations, the number of children and adults who attended the movies is as follows:
Children = 62Adults = 38.What is a system of equations?A system of equations is two or more equations solved concurrently.
A system of equations is also known as simultaneous equations.
The total number of people who went to the movies = 100
The unit cost of adult tickets = $4
The unit cost of children tickets = $2
The total sales = $276
Let the number of children who attended the movies = x
Let the number of adults who attended the movies = y
Equations:x + y = 100 ... Equation 1
2x + 4y = 276 ... Equation 2
Multiply Equation 1 by 2:
2x + 2y = 200 ... Equation 3
Subtraction Equation 3 from Equation 2:
2x + 4y = 276
-
2x + 2y = 200
2y = 76
y = 38
Substitute y = 19 in equation 1:
x + y = 100
x + 38 = 100
x = 62
Check in Equation 2:
2x + 4y = 276
2(62) + 4(38) = 276
124 + 152 = 276
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A basketball player made 85 out of 100 attempted free throws. What percent of free throws was
made?
Answer:
85%
Step-by-step explanation:
to find percent of the throws made put (throws made/total free throws)*100
so (85/100)*100= 85%
Please help with this problem ASAP
The graph representing the solution of the inequalities y < 3/4x + 3 and y ≤ -2x - 1 is option B.
What is an inequality?
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.
The first inequality is given as y < 3/4x + 3.
The second inequality is given as y ≤ -2x - 1.
To find the intersection point for the system of inequalities without graphing, we need to solve the two inequalities simultaneously by finding the values of x and y that satisfy both of them.
We can start by setting the two inequalities equal to each other -
y = 3/4x + 3 (from the first inequality)
y = -2x - 1 (from the second inequality)
Since both equations are equal to y, we can set them equal to each other -
3/4x + 3 = -2x - 1
We can simplify and solve for x -
3/4x + 2x = -1 - 3
11/4x = -4
x = -16/11
To find the value of y that corresponds to this value of x, we can substitute it into either equation.
Using the second equation, we have -
y = -2(-16/11) - 1
y = 29/11
So, the intersection point for the system of inequalities is (-16/11, 29/11).
The graph for inequality y ≤ -2x - 1 will be a straight line denoting (≤,≥) symbol.
The graph for inequality y < 3/4x + 3 will be a dotted line denoting (<,>) symbol.
Therefore, the graph that shows this intersection point and satisfies the condition is graph of option B.
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Please help. Deeply appreciated
By using the Pythagorean theorem we know that the given triangle is not a right triangle.
What is the Pythagorean theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.
According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Pythagorean triples consist of the three positive numbers a, b, and c, where a2+b2 = c2.
The symbols for these triples are (a,b,c). Here, a represents the right-angled triangle's hypotenuse, b its base, and c its perpendicular.
The smallest and most well-known triplets are (3,4,5).
So, we have the values already,
Now, calculate as follows:
3² + 4² = 6²
9 + 16 = 36
25 ≠ 36
Hence, the given triangle is not a right triangle.
Therefore, by using the Pythagorean theorem we know that the given triangle is not a right triangle.
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