Answer:
Option: \(h\leq 16\)
Step-by-step explanation:
Looking for key words in the problem:
"At Most" represents important key words, meaning the maximum amount of hotdogs that are at the barbecue.
Inequality:
\(h\leq 16\)
h \(\leq \) 16 represents the maximum amount of hotdogs that has to be at the barbecue, also represents less than 16 can be cooked.
pls answer this!!!
worth 30 points
find the circumference of a circle with d=97cm diameter
round to 3 significant figures
The circular is around 305 cm in circumeference.
The circumference of a circle is given by the formula:
C = πd
where d is the diameter of the circle.
Substituting d = 97 cm and using the value of π to be 3.14159, we get:
C = πd
C = 3.14159 × 97 cm
C ≈ 304.731 cm
Rounding this to 3 significant figures, we get:
C ≈ 305 cm
Therefore, the circumference of the circle is approximately 305 cm.
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|-4+5x|=16
Pls help
Pls
Answer: i believe x = 4
Step-by-step explanation: 16 - |-4| which is adding two positives and that equals 20 so then its 5x = 20 divide 20 by 5 and you get 4
At a party, the cheese pizza is cut into 9 slices and the veggie pizza is cut into 12 slices. If the host wants to serve identical platters that contain the same combination of cheese and veggie slices, with no slices left over, what is the greatest number of platters the host can prepare?
Answer:
3 platters
Step-by-step explanation:
You need to find a factor of both 9 and 12. The only common factors are 1 and 3. Then, you pick the largest, which is 3 in this instance. Then, you can figure out how many pieces of each would be on a platter. 9/3=3, so there will be 3 slices of cheese on a platter, and 12/3=4, so there will be 4 veggie pizza slices on each platter.
Answer: 36 or 72
Step-by-step explanation:
I chose 36 because both 9 and 12 go into 36, If the host wanted more than 36 slices, 72 would be another number that would have no left overs.
Help me thank you :(
Answer:
m=3
y(-2/3, 2)
Step-by-step explanation:
whats equivalent to 3(7 + x).
Answer: 21+3x
Step-by-step explanation: simply distribute the three into the parentheses
Hope this helps
Answer:
21+3x
Step-by-step explanation:
you multiply 3 by 7 and then you sum it with 3 multiplied by x hope i helped
if the company decides to produce 2,000 containers of regular crunchy peanut butter, how many containers of new extra crunchy peanut butter would it produce?
The number of extra crunchy peanut butter that the company would produce (current production units) is 1,700 containers.
How is the number determined?Using the mathematical operation of subtraction, the number of units to be produced can be determined.
First, we have that the ending inventory for the last period was 300 containers.
This ending inventory is subtracted from the required production level, to determine the number of containers to produce for this period.
Thus, to meet the production requirements, the company would produce additional 1,700 containers of crunchy peanut butter.
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Question Completion:Ending inventory of regular crunchy peanut butter from last period = 300 containers.
if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then___
if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.
All tests that make use of the F-distribution are collectively referred to as "F Tests." The F-Test to Compare Two Variances is often what is meant when the term "F-Test" is used. However, a number of tests, including regression analysis, the Chow test, and the Scheffe test, use the f-statistic. If we are conducting an F-Test, we might employ a variety of technological tools. since doing an F-test manually while accounting for variations is a difficult and time-consuming operation.
if the ratio of two sample variances exceeds the critical value of f at a defined confidence level, then the level of confidence also exceeds the critical level.
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What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be
Answer: 4:00 pm
Step-by-step explanation:
Solve for x. The polygons in each pair are similar
Answer: x=11
Step-by-step explanation:
Since its already given that the two polygons are similar, you can build a ratio:
1. \(\frac{40}{32} =\frac{2x-2}{16}\)
2. Then cross multiple which will produce \(40*16=32*(2x-2)\)
3. Simplify: \(=> 640=64x-64\) \(=> 704=64x => x=11\)
Tada! Your answer is there. Have a great day! :D
please hurry aliviabettis
Answer: ummm......real life confusion 101 but, ighty den. i'm not finna ask questions
Which system of equations is consistent and dependent? .What is the point of intersection when the system of equations below is graphed on the coordinate plane? (1, –3) (–1, 3) (1, 3) (–1, –3)
Answer:
Barney is a dinosaur from our imagination
And when he's tall
He's what we call a dinosaur sensation
Barney's friends are big and small
They come from lots of places
After school they meet to play
And sing with happy faces
Barney shows us lots of things
Like how to play pretend
ABC's, and 123's
And how to be a friend
Barney comes to play with us
Whenever we may need him
Barney can be your friend too
If you just make-believe him!
Step-by-step explanation:
Step-by-step explanation:
Two sides of a triangle have lengths 43 and 67. The angle included between these sides measures 27degrees°. To the nearest hundreth, what is the length of the third side?
The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.
1. We have a triangle with two known side lengths: 43 and 67 units.
2. The angle included between these sides measures 27 degrees.
3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.
4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).
5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.
6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.
7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.
8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.
9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.
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I need helpl i dont understand
Answer:
the answer is 1.3x + 2 ≥ 20
Step-by-step explanation:
the tree is already 2ft which mean it would need to be added to the rate of growth, 1.3 by the amount of year to find out the height. The question is saying however that I can be at least 20ft. so no less than 20 which is why the greater or equal to sign is used (≥)
2. If you buy a bike, but not in full, and instead pay for the bike in monthly payments while enjoying your new bike is called what?
Installment buying
Interest
Default payment
O Automatic withdrawal
In the diagram below, measure of arcABC = 230º.
What is the measure of
Answer:
65°
Step-by-step explanation:
Short arc AC is the difference between 360° and long arc ABC:
arc AC = 360° -230° = 130°
The inscribed angle ABC that intercepts this short arc will have half the measure of the arc:
∠ABC = 130°/2 = 65°
9 A trader mixes 3 kg of sugar at N172/kg with 2 kg of sugar at N152/kg. What is the cost/kg of the mixture?
The cost per kilogram of the mixture is N164/kg.
What is the cost of the cost per kilogram of the mixture?To find the cost per kilogram of the mixture;
First sugar;
Mass = 3kgcost = N172/kgSecond sugar;
Mass = 2kgcost = N151/kgCost/kg of the mixture = ?
First, we need to find the total cost of the mixture.
The cost of 3 kg of sugar at N172/kg is:
3 kg × N172/kg = N516
The cost of 2 kg of sugar at N152/kg is:
2 kg × N152/kg = N304
The total cost of the mixture is:
N516 + N304 = N820
The total weight of the mixture is:
3 kg + 2 kg = 5 kg
Therefore, the cost/kg of the mixture is:
N820 ÷ 5 kg = N164/kg
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Kai is swinging on a trapeze in a circus show. The horizontal distance between Kai and the edge
of the stage, in meters, is modeled by D(t) where t is the time in seconds. The function is
graphed below, along with one segment highlighted.
The sinusoidal expression of the function is D(t) = -cos(3t)
What is sinusoidal expression?A sinusoidal alternating current can be represented by the equation i = I sin ωt, where i is the current at time t and I the maximum current. In a similar way we can write for a sinusoidal alternating voltage v = V sin ωt, where v is the voltage at time t and V the maximum voltage.
here, we have to,
to determine the sinusoidal expression:
When he pushes off, he is 1 m behind the center.
This means that:
Amplitude, a = 1.
But we use, a = -1 because he is behind
The graph has a minimum point at (0,-1) and then intersects its midline at (π/6, 0).
So, the period B is: 2π/B = 4 * π/6 and the vertical shift (d) is 0
Simplify 2π/B = 4 * π/6
2π/B = 2π/3
By comparison, we have:
B = 3
The function is given as:
a cos(Bt) + d
Substitute the calculated values
D(t) = -cos(3t)
Hence, the sinusoidal expression of the function is D(t) = -cos(3t)
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Answer:
period and he completes a swing in ten seconds
Prove the following statement by mathematical induction:
\(\sum_{i=1}^{n+1}{i*2^i = n * 2^{n+2} + 2}\) for all integers n ≥ 0.
The required by the principle of mathematical induction, the statement is true for all integers n ≥ 0.
What is mathmetical induction?Mathematical induction is a method of proof commonly used in mathematics to prove that a statement is true for all positive integers.
The process involves two steps:
Base case: Prove the statement is true for some initial value, usually n = 1 or n = 0.Inductive step: Assume the statement is true for an arbitrary value of n, and use this assumption to prove that the statement is also true for the next value, n + 1.Here,
First, we need to prove the statement is true for the base case n=0,
When n=0, we have,
\(\sum_{i=1}^{1} i * 2^i = 1*2^1 = 2\)
and
\(n * 2^{n+2} + 2 = 0*2^{0+2} + 2 = 2\)
Therefore, the statement is true for n=0.
Next, we assume the statement is true for some arbitrary integer k, meaning:
\(\sum_{i=1}^{k+1} i * 2^i = k * 2^{k+2} + 2\)
We want to show that the statement is also true for n=k+1,
\(\sum_{i=1}^{k+2} i * 2^i = (k+1) * 2^{k+3} + 2\)
We can rewrite the left-hand side of the equation as,
\(=\sum_{i=1}^{k+2} i * 2^i \\= \sum_{i=1}^{k+1} i * 2^i + (k+2) * 2^{k+2} \\= k * 2^{k+2} + 2 + (k+2) * 2^{k+2} \\= (k+1) * 2^{k+3} + 2\)
This last step used the assumption that the statement is true for n=k.
Therefore, by the principle of mathematical induction, the statement is true for all integers n ≥ 0.
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What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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What postulate or theorem allows you to state that angle DEF is congruent to angle GHJ
Then you can state that angle DEF is congruent to angle GHJ.
The postulate or theorem that allows you to state that angle DEF is congruent to angle GHJ is the Angle-Angle (AA) Postulate.
This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles must also be congruent.
In this case, if you have two triangles, one with angles DEF and the other with angles GHJ, and
you know that angle D is congruent to angle G and angle E is congruent to angle H, then by the AA Postulate, you can conclude that angle F is congruent to angle J.
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In the problem below, which line contains an
error?
Line 1: 6x - 2(x + 5) = 22
Line 2: 6x - 2x - 10 = 22
Line 3: 8x - 10 = 22
Line 4: 8x = 32
Line 5: x=4
a) Line 2
b) Line 3
c) Line 4
d) Line 5
Find the sizes of unknow angles of this triangle
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
which expression is equivalent to –3 – 3x – 1 + x 2x – 4 –2x + 4 –2x – 4? 4 – 2x
Answer:
you didn't give any options, I could simplify it... but that doesn't show which expression is equivalent.
Step-by-step explanation:
Answer:
–2x – 4?
Step-by-step explanation:
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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Solve a0 = 0, a1 = 1 and an = an−1 + an−2 + 2n , for n ≥ 2. Hints: This one involves a lot more algebra than the problems above. Solving the homogeneous problem will involve using the quadratic formula. The characteristic roots turn out to be 1 ± √ 5 2 (but show the work!). For a particular solution, try an = A2 n . You should find A = 4 (but show the work!). Put those two pieces together to write down the general solution an = A( (1 + √ 5 )/2 )^n + B( (1 − √ 5)/ 2 )^n + 4(2^n ) and the determine the values for A and B by using the two initial conditions, a0 = 0 and a1 = 1. The necessary arithmetic will be somewhat complicated, but not impossible.
Answer:
Hi yes ik I'm not that good at math but wouldn't it be
a n=1∗1 n =1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.What is circle?A circle is a closed, two-dimensional shape where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the middle.
To identify the true statements, we can first rewrite the given equation of the circle in standard form:
x² - 2x + y² = 8
Completing the square, we get:
(x - 1)² + y² = 9
Now we can identify the true statements:
The radius of the circle is 3 units. (True, the equation is in standard form (x-1)² + y² = 3²)The center of the circle lies on the x-axis. (False, the center is (1,0))The center of the circle lies on the y-axis. (False, the center is not on the y-axis)The standard form of the equation is (x – 1)² + y² = 3. (True, as shown above)The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9. (True, both circles have a radius of 3)Therefore, the true statements are:
The radius of the circle is 3 units.The standard form of the equation is (x – 1)² + y² = 3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about circle on:
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what is the simplified equivalent of the terminating
The simplified fractional equivalent of 0.25 is 1/4 .
The complete question is
What is the simplified fractional equivalent of the terminating decimal 0.25?
What is simplified equivalent ?When a number is solved to a state where it cannot be further simplified , but can be written in a different format , the two numbers are then called the simplified equivalent of each other.
The given number is decimal 0.25
So this number is in its simplified state but can also be written as
0.25 * 1
= 0.25 * 100 /100
= 25/100
= 1/4
Therefore 1/4 is the simplified fractional equivalent of 0.25.
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An electrican's shop charges $55
service fee plus $50 per hour for labor.
The linear equation that models
C= $50+ $55, where h is the number of labor hours and C is the total cost.
How much would the shop charge a customer for a job that takes 17hrs?
Answer:
$905
Step-by-step explanation:
$50×h+55=?
h=17 and you pay so $50×h
so $50×h=850
so now that you calculated the cost of the labor add the $55 dollar service fee
850+55=905
Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint. Elena has 2/3 cup of white paint. How much purple paint can she make?
Elena can make 20/3 cups of purple paint
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE are given that Elena makes her favorite shade of purple paint by mixing 3 cups of blue paint, 1 1/2 cups of red paint, and 1/2 cup of white paint.
Since Elena has 2/3 cup of white paint. then;
1 1/2 cups of red paint (1 1/2=1.5)
1/2 cup of white paint (1/2=0.5)
Then the ratio is 3:1.5:0.5
Means every 0.5 cups of white paint Elena makes 5 cups of purple paint (3+1.5+0.5)
Let x the number of cups of purple paint
5/ 0.5 = x / (2/5)
x = 20/3 cups of purple paint
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