Answer:
The amount charged for a hamburger is $11
Step-by-step explanation:
The function relating the amount d charged with the number of hamburgers is;
d = 3h + 8
The amount charged for a hamburger can be calculated by substituting the value 1 for h
Thus, we have;
d = 3(1) + 8 = $11
Create a small coordinate grid and plot the first point.
What quadrant will you end in after you move as stated?
Select one:
a.
Quadrant I
b.
Quadrant III
c.
Quadrant II
d.
Quadrant IV
The figure below shows a rectangular lawn.
26 ft
19 ft
(a) Use the calculator to find the perimeter and area of the lawn.
Make sure to include the correct units.
Perimeter: 0
Area: 0
(b) The lawn will be surrounded by a rope.
Which measure would be used in finding how much rope to buy?
Perimeter Area
(c) The lawn will be mowed.
Which measure would be used in finding how long it will take?
Perimeter Area
The figure shows that the length of the lawn is 26 ft, and the width is 19 ft. To find the perimeter, we need to add the lengths of all four sides.
Therefore, the perimeter of the lawn is 2(26+19) = 90 ft. To calculate the area of the lawn, we need to multiply the length by the width. Therefore, the area of the lawn is 26*19 = 494 sq. ft. We need to include the correct units, so the perimeter is measured in feet, and the area is measured in square feet. We need to find the distance around the lawn, which is the perimeter. Therefore, we would use the perimeter to calculate how much rope to buy. In this case, the perimeter is 90 ft, so we would need to buy at least 90 ft of rope to surround the entire lawn.
We need to know the length of the sides of the lawn to calculate how long it will take to mow. Therefore, we would use the perimeter to find the length of the sides. However, the perimeter only gives us the total distance around the lawn, not the length of each side. Therefore, we would need to divide the perimeter by 4 to find the length of each side. In this case, the length of each side is (26+19)*2/4 = 22.5 ft. We can use the length of the sides and the area of the lawn to estimate how long it will take to mow. However, we would need additional information, such as the speed of the lawnmower, to make an accurate estimate.
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At the video game store, they were having a sale. There was a pack of 3 games for $45.96. If the games were all the same price, what was the cost of each game in the pack?
Answer:
$15.32 per game
Step-by-step explanation:
45.96/3 = 15.32
15 POINTS GIVEN⁉️⁉️
Using the scatter graph, decide whether each of the following statements is true or false: a) The same athlete had the longest javelin throw and the longest discus throw. b) The shortest javelin throw was longer than the shortest discus throw. c) The longest discus throw was shorter than the longest javelin throw. Athletes' javelin and discus throws 60 Length of discus throw (m) 5 55 90 0 X 40 X X X x X X X X X 45 50 55 60 Length of javelin throw (m) X X 65 70
Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.
Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:
a) The same athlete had the longest javelin throw and the longest discus throw.
b) The shortest javelin throw was longer than the shortest discus throw.
c) The longest discus throw was shorter than the longest javelin throw.
Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.
The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.
b) The shortest javelin throw was longer than the shortest discus throw.
This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.
The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.
This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.
To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.
The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.
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Find the response of a system described by the equation 3x¨+12x˙+87x=5,x(0)=2 and x˙(0)=7 1. Obtain the transfer function X(s) using the initial conditions. 2. Determine the time domain function X(t) using inverse Laplace Transform. 3. What value does X(t) approach as t→[infinity].
The transfer function of the system is derived as X(s) = (5s + 4) / (3s^2 + 12s + 87). Using inverse Laplace transform, the time domain function X(t) is found to be X(t) = (5/36)e^(-6t)(sin(9t) + 4cos(9t)) + (17/6)e^(-6t)sin(9t). As t approaches infinity, X(t) approaches zero due to the exponential decay term in the solution.
To obtain the transfer function X(s), we start by taking the Laplace transform of the given equation. Applying the initial conditions, we get (3s^2X(s) - 3sx(0) - x˙(0)) + 12sX(s) - 12x(0) + 87X(s) = 5. Substituting x(0) = 2 and x˙(0) = 7, we simplify the equation to (3s^2 + 12s + 87)X(s) = 5s + 4. Solving for X(s), we obtain X(s) = (5s + 4) / (3s^2 + 12s + 87), which is the transfer function of the system.
To determine the time domain function X(t), we need to find the inverse Laplace transform of X(s). By decomposing the transfer function into partial fractions, we can rewrite X(s) as X(s) = (5/36) / (s + 3) + (17/6) / (s^2 + 4s + 29). Applying inverse Laplace transform to each term, we obtain X(t) = (5/36)e^(-3t) + (17/6)e^(-2t)sin(3t). Simplifying further, we can rewrite X(t) as X(t) = (5/36)e^(-6t)(sin(9t) + 4cos(9t)) + (17/6)e^(-6t)sin(9t).
As t approaches infinity, the exponential terms in the time domain solution dominate. Since the exponential term e^(-6t) decays to zero as t increases, X(t) approaches zero in the long run. Therefore, the value of X(t) approaches zero as t approaches infinity. This behavior is due to the presence of the exponential decay term in the solution, which dampens the oscillations and leads to a stable response that tends towards zero.
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Find the measure of the exterior angle
Answer:
138
Step-by-step explanation:
5x+2+6x+90=180
11x+92=180
11x=88
x=8
5(8)+2. = 42
180-42= 138
please help solve the problemes and write how you got the answer please
60 points
Answer: 360% - 7 x 180 rotation
Step-by-step explanation: your welcome
PLEASE HELP ASAP
Jimmy McJimmerson rents a car. The rental fee is $54.99 per day plus a tax of 6% applied to this daily fee. A one time untaxed fee of $20 is charged for insurance. Which of the following represents Jimmy's cost for renting the car for x days?
If the scale factor from figure A to figure B is 5.8, then the area of figure B is __times
the area of figure A.
Answer:
5.8
Step-by-step explanation:
Since B is the image of figure A and was dilated by a scale factor of 5.8, this mean that the area of figure B is 5.8 times the area of figure A
Hope this helps :)
hi please help me..this is a multiple choice
Answer:
Step-by-step explanation:
A and D are the answers that I would pick
Answer:
B and C
Step-by-step explanation:
- 1 / -3 = 1/3, we know negative divide by a negative number = positive
- -1/3 = 1/3, we know negative times negative = positive
Can you please help solve this problem Find m
Answer:
where is your question boy /girl tell me
-5.7 + (-4.2)
help please
Answer:
-5.7 + (-4.2) is your question and -9.9 should be the answer for you
Step-by-step explanation:
hope this helps please mark me brainliest
what is the ordered pair for 90 degrees on a unit circle
(6) In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
Answer:
(D)105 ft
Step-by-step explanation:
In a triangle, the sides have a ratio of 3:7:10. If the perimeter is 210 feet, what is the length of the longest side in feet? (A) * 10.5 (B) 31.5 (C) (D) 105
we divide the perimeter by the sum of the ratios and multiply by the largest ratio and we will have the longest side.
[210 : (3 + 7 + 10)] x 10 = 105 ft (your answer)
Step-by-step explanation:
the ratio tells us into how many units the total amount is split and then distributed among the different parts or members of the ratio.
3:7:10 means there are 3+7+10 = 20 units of length.
210 ft is the total of all lengths.
this is now split into these 20 units.
that means one unit of length for the ratio is
210/20 = 10.5 ft
the longest side is clearly the one with 10 units in the ratio.
so, it has
10×10.5 = 105 ft
Hailey planted
30 tomato seeds. Three out of every 5 seeds grew
into tomato plants. How many tomato plants
does Hailey have?
Answer:
18 seeds
Step-by-step explanation:
3 x 6 = 18 seeds
3/5 x 30 = 18 seeds
Hope that helps!
find each measure using the information given
G is the incenter of ABC
a)GD
b)BG
c)FC
d)BF
if possible can you show the equation break down if some are needed
If G is the incenter of triangle ABC the values of the unknown sides are
a) GD = 12
b) BG = 13.42
c) FC = 35
d) BF = 6
How to find the unknown dimensions
Considering that G is the incenter of triangle ABC, we have that
GE = GD = GFUsing the right triangle CDG and applying Pythagoras theorem given by the formula
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
GC² = GD² + DC²
37² = GD² + 35²
GD² = 37² - 35²
GD² = 144
take square root of both sides
GD = √144
GD = 12
Using the right triangle BEG to solve for BG
BG² = EB² + GE²
BG² = 6² + 12²
BG² = 180
take square root of both sides
BG = √180
BG = 13.42
Using the right triangle CFG to solve for FC
GC² = GF² + FC²
rearranging the equation
FC² = GC² - GF²
FC² = 37² - 12²
FC² = 1225
take square root of both sides
FC = √1225
FC = 35
Using the right triangle BFG to solve for BF
BG² = GF² + BF²
rearranging the equation
BF² = BG² - GF²
BF² = 13.42² - 12²
BF² = 36.0964
take square root of both sides
BF = √36.0964
BF = 6
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Determine the dependent variable in the following sentence: Joe will be saving money over the summer by mowing lawns. Joe will receive $20 dollars per lawn.
A. Money
B. Number of lawns
Answer:
Number of lawns
Step-by-step explanation:
I chose number of lawns because depending on how many lawns he mows is how much money he will get
Answer:
A, the money
Step-by-step explanation:
As Joe mows lawns, the amount of money he gets is being increased, meaning its changing, therefore its dependent of how many lawns are mowed.
PLEASE HELP
CDEF is a kite and mFCE =39. Find m1
A.102
B.39
C.78
Answer: 39
Step-by-step explanation:
Its easy! The triangles CEF and CDE are equals because they have three sides respectively equal. So the angles FCE and angle m1 (DCE) are equal.
Then:
m1 = 39
What is 1 and 3 over 4 times 2 and 2 over 3?
The simplified form of 1 and 3 over 4 times, 2 and 2 over 3 is 4/3.
Given,
1 and 3 over 4 times
2 and 2 over 3 times
We can convert this to mathematical form:
That is,
1 and 3 over 4 times = (1 + 3) / 4
2 and 2 over 3 times = (2 + 2) / 3
Now, equate the above terms:
We get,
(1 + 3) / 4 x (2 + 2) / 3
= (4 / 4) x (4 / 3)
= 1 x (4 / 3)
= 4 / 3
That is, the simplified form of 1 and 3 over 4 times and 2 and 2 over 3 times is 4/3.
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Identify the graph of f(x)=2|x+3|.
Answer:
The graph f(x)=2×+3 will have y-intercepts of (0,3) and a slope of 2.
On May 1, Anna purchased a new condo. She pays a monthly maintenance fee of $230. Her monthly property taxes equal 13.5% of the monthly fee. How much will Anna pay in property taxes for this calendar year?
Answer:
$31.05
Step-by-step explanation:
You can get this answer by changing percent (13.5%) to just 13.5, or in other words, a decimal. you also change 230. to a decimal by by moving the decimal point two times to the left to get 2.30. You can then get your answer by multiplying the values together (2.30 x 13.5)
6.
I am thinking of two numbers.
If I multiply the first number by 4 and add the second number the answer is 32
If I multiply the first number by 2 and add the second number the answer is 23
Work out the two numbers.
Answer:
swap this question given your answer
The speed limit on a road drops down to 15 miles per hour around a curve. Mr. Gerard slows down by 10 miles per hour as he drives around the curve. He never drives above the speed limit. At what speed was Mr. Gerard driving before the curve? Please write your inequality.
Answer:
x ≤ 25mph
Step-by-step explanation:
Given that :
Speed limit drops to 15 miles per hour at curve
Driver slows down by 10 miles per hour as he drives around the curve
The driver's speed before reaching the curve is :
Let speed befure curve = x
Lowest speed before curve = 15 +. 10 = 25 mph
x ≤ 25mph
when two fractions are multiplied the product can be written as
Answer: A fraction
Step-by-step explanation:
What is irrational number and is 4/3 a irrational number??
Answer: 4/3 is not irrational, it is rational
Explanation:
A rational number is a ratio, or fraction, of two integers. The denominator cannot be zero.
4/3 is rational since it's the ratio of the integers 4 over 3.
Since it is rational, it is not irrational. The term "irrational" literally means "not rational". Therefore, a real number is either of those options, but not both simultaneously.
A famous example of an irrational number is \(\pi \approx 3.14...\) because it cannot be written as a fraction of two integers. We can get approximations like 22/7, but never manage to capture the full value of \(\pi\) with a single fraction.
Another example of an irrational number is \(\sqrt{2}\)
\(\displaystyle\\Answer: \ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
Step-by-step explanation:
An irrational number is an infinite non-periodic fraction
\(\displaystyle\\\frac{4}{3}=1\frac{1}{3} \\\\\frac{4}{3} =1.333333...\\\\\frac{4}{3}=1.(3)\)
1.(3) - is an infinite periodic fraction
\(\displaystyle\\Hence,\ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
Hello people ~
factorise : 3x² + 10x + 8
Answer:
(x + 2)(3x + 4)
Step-by-step explanation:
3x² + 10x + 8
consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form
\(\\ \rm\Rrightarrow 3x^2+10x+8\)
\(\\ \rm\Rrightarrow 3x^2+6x+4x+8\)
\(\\ \rm\Rrightarrow 3x(x+2)+4(x+2)\)
\(\\ \rm\Rrightarrow (3x+4)(x+2)\)
Done!
Find the value of this expression:
6 - 2 + 4 * 2
12
16
-6
Answer: 12
Step-by-step explanation:
6-2 + 4 x 2 = 6 - 2. + 8
4 + 8 = 12
The temperature was 8°F. It dropped so that the temperature was 0°F.
Answer:
It dropped 8 degrees so the answer must be -8
Step-by-step explanation:
if i0i0i_0 = 20.0 w/m2w/m2 , θ0θ0theta_0 = 25.0 degreesdegrees , and θtaθtatheta_ta = 40.0 degreesdegrees , what is the transmitted intensity i1i1i_1 ? Express your answer numerically in watts per square meter.
The transmitted intensity i1 is approximately 19.32 watts per square meter.
An indicator of a physical phenomenon's strength or power, such as light, sound, or radiation, is its intensity. It is often expressed in terms of the quantity of energy being transmitted or received per unit area or volume. For instance, the intensity of light is expressed in watts per square metre, while the strength of sound is expressed in watts per square metre per hertz. Distance, direction, and the qualities of the medium through which the phenomenon is transmitted can all have an impact on intensity.
To find the transmitted intensity (i1), we need to use the formula:
\(i1 = i0 * cos(θ0 - θta)\)
where i0 is the initial intensity, \(θ0\)is the initial angle, and \(θta\) is the transmitted angle.
Step 1: Calculate the difference between the angles:
\(Δθ = θ0 - θta\) = 25.0 degrees - 40.0 degrees = -15.0 degrees
Step 2: Convert the angle difference to radians:
\(Δθ\)(in radians) = -15.0 degrees *\((\pi /180)\) ≈ -0.2618 radians
Step 3: Calculate the cosine of the angle difference:
\(cos(Δθ) ≈ cos(-0.2618)\)≈ 0.9659
Step 4: Calculate the transmitted intensity (i1):
i1 = i0 * \(cos(Δθ)\) = 20.0\(W/m^2\) * 0.9659 ≈ 19.32 \(W/m^2\)
So, the transmitted intensity i1 is approximately 19.32 watts per square meter.
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The solution of m2 − 14m + 49 = 0 is
Answer:
49/12 or 4 1/12 or 4.083 (all the same answer in different forms)
Step-by-step explanation:
2m-14m+49=0
-12m+49=0
-12m+-49
m=49/12
Answer: m=7
Step-by-step-explanation:
m^2-14m+49=0
(m-7)^2=0
m-7=0
m=7