Answer:
152 miles add
all non-fractions =149 then add all fractions (5 miles) so it adds up to 152
what is the domain of the function shown in the graph below?
The domain of the function shown in the graph above include the following: D. {x|x ≥ -4}.
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.
In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By using set builder notation, the domain of this function shown in the graph above can be written as follows;
Domain = {-4, ∞}
Domain = {x|x ≥ -4}
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Work out the area of a rectangle with base, b = 34mm and perimeter, P = 86mm.
Answer:
306mm²
Step-by-step explanation:
the height h = 86/2 -34 = 43-34=9mm
the area = 34×9= 306mm²
Answer: (I am assuming this is 2D?)
Two bases together: 34 * 2
68
Two lengths together is p - two bases:
18
Individual length:
9
Area is base times length
9 * 34
306mm
what is the x-intercept of the graph of the function f(x) = x-16x + 64
The x-intercept of the function f(x) = x² - 16x + 64 is x = 8.
How to find the x-intercept of a graph?The x-intercept of the graph can be found as follows:
f(x) = x² - 16x + 64
The x-intercept is the point at which the graph of an equation crosses the x-axis. In other words, the x-intercept is where a line crosses the x-axis on a graph.
The x-intercept is the value of x when y = 0.
Therefore,
x² - 16x + 64 = 0
Let's factorise
x² - 8x - 8x + 64 = 0
x(x - 8) -8(x - 8) = 0
Therefore,
(x - 8)(x - 8) = 0
Therefore,
x = 8
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Help! My teacher never taught me this and gave it to me for what ever reason. Questions 6-11. (Middle school)
Answer:
6. 12cm
7. 11.2 cm
8. 92 degrees
9. 53 degrees
10. 37.5 cm
11. $ 693.12
Step-by-step explanation:
For questions 6-9 the triangle is congurent which means both their angles will be equal.
For the sides you can see that the second triangle is 1.5 times smaller than the first one as taking one of the sides 21/14= 1.5
So for Q. 6 we can multiply side PQ by 1.5.
For Q.7 divide CA by 1.5.
For Q. 10 we can do cross multiplication:
5/4 = x/30
= 150= 4x
= 37.5=x
For Q 11 we can see the size of the paper is 1.9 times bigger than the original one (38/20)
So the shorter side is 30.4 cm.
Then we have to find the area of the paper to multiply the two dimensions and we get 1155.2 square inches.
Then to figure out the money we multiply again and we get $693.12.
Make g the subject of the formula.
w = 7 - \(\sqrt{7}\)
YOOO PLEASE HELPPPP!!!!
Given:
Base length of triangle = 40 units
Height of triangle = 9 units
Length of hypotenuse of triangle = 41 units
To find:
Find the value of Tan A
Steps:
Tan of an angle is equal to the opposite length by adjacent length.
So,
Tan A = \(\frac{opposite}{adjacent}\)
Tan A = \(\frac{9}{40}\)
Tan A = 0.225
Therefore, the exact value of Tan A is 0.225.
Happy to help :)
If you need any help, feel free to ask
Part F About what is the average change in distance for each increase of 1 in the iron number ? What does this mean in terms of the situation?
Part D
What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?
The average change in distance for each increase of 1 in the iron number is -10, and the y-intercept of the graphs are not the same
The average change in distance?From the graph, we have the following points:
(x,y) = (4, 145) and (3,155)
The average change in distance is calculated using:
\(m = \frac{y_2 - y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{155 - 145}{3 - 4}\)
Evaluate
m = -10
Hence, the average change in distance for each increase of 1 in the iron number is -10
What the average rate in (a) represents?The rate, -10 in (a) means that:
The distance decreases by 10 yards for each number of iron
The y-interceptThe y-intercept is the point where the graph crosses the y-axis
From the attached graphs, we have:
The correct graph has a y-intercept of 185The incorrect graph has a higher y-intercept (195)Hence, the y-intercept of the graphs are not the same
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A cyclist travels at an average speed of 14 mph for 2 hours.
Answer:
0.50mp
Step-by-step explanation:hope this hepls
Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt
Answer:
$ 2904.59
Step-by-step explanation:
For CONTINUOUS compounding FV = PV e^it
FV = future value PV = present value i = decimal interest t = years
FV = 2500 e^(.05 * 3) = 2904.59
Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24 gal/min, does she have enough time to fill the pool before he gets home? Explain.
Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.
To determine if Ines has enough time to fill the pool before her brother gets home, we need to calculate the volume of the pool and the amount of water that the garden hose can fill in the given time.
The pool is cylindrical with an outer diameter of 9 ft and a height of 3 ft, which means the radius of the pool is 4.5 ft (half the diameter).
The width of the pool is given as 10 inches, which is 10/12 = 0.83 ft
radius of inner pool = 4.5-0.83 = 3.67 ft
The volume of the pool can be calculated using the formula for the volume of a cylinder:
\(V_{pool} = \pi r^2h\)
where π is approximately 3.14, r is the radius, and h is the height.
Substituting the given values, we get:
\(V_{pool} = 3.14 * (3.67)^2 * 3\)
\(V_{pool} = 126.87 ft^3\)
To convert this volume to gallons, we need to multiply by the conversion factor of 7.48 gallons per cubic foot:
\(V_{pool} = 126.87 * 7.48\)
\(V_{pool }= 948.98 gallons\)
Now we need to determine how much water the garden hose can fill in half an hour, which is 0.5 hours.
The flow rate of the garden hose is given as 24 gallons per minute, so in half an hour it can fill:
24 gallons/min * 30 min = 720 gallons
Since the volume of the pool is 948.98 gallons gallons and the garden hose can fill 720 gallons in half an hour, it is clear that Ines cannot fill the pool completely before her brother gets home in half an hour.
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The complete question is :
Ines's younger brother will be home in a half hour. If her garden hose flows at a rate 24 gal/min, does she have enough time to fill the pool before he gets home? Explain. (Hint: 1 ft = 7.48 gal)
Which description best compares the graphs of the two functions below?
A description which best compares the graphs of the two functions above include the following: B. The line for function A is steeper.
How to compare the two functions?In order to compare the two functions, we would have to find the slope of function B based on the data points contained in the table by using the slope formula.
Mathematically, the slope of a straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given points into the slope formula, we have the following;
Slope, m = (-1 - (-2))/(3 - 0)
Slope, m = (-1 + 2)/3
Slope, m =1/3
From function A y = 3x - 2, the slope is equal to 3. Consequently, we can logically deduce that the line representing function A is steeper than the line representing function B because its slope is bigger i.e 3 > 1/3.
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0.7(1.5+ y) = 3.5y - 1.47
Solve
Answer:
y = .9
Step-by-step explanation:
0.7(1.5+ y) = 3.5y - 1.47
Distribute
1.05 +.7y = 3.5y -1.47
Subtract .7y from each side
1.05 +.7y.-.7y = 3.5y-.7y -1.47
1.05 =2.8y -1.47
Add 1.47 to each side
1.05+1.47 = 2.8y
2.52 = 2.8y
Divide by 2.8
2.52/2.8 = y
.9 = y
Answer:
y = 0.9
C, the third one
Step-by-step explanation:
Examine this multistep equation with variables on both sides.
0.7(1.5 + y) = 3.5y - 1.47
Which of the following is the solution to this equation?
y = 0.09
y = 0.17
y = 0.9
y = 1.7
Sketch the region between the line x + y = 1 and the circle x^2 + y^2 = 1 in the first quadrant. Describe the region by inequalities in r and θ
Sketch the region between the line x = 1 and the circle x^2 + y^2 = 4 with x≥0. Describe the region by inequalities in r and θ.
The region of intersection of the line x+y = 1 and the circle x2 + y2 = 4 with x ≥ 0 is an arc of the circle. In polar coordinates, this region is described by the inequalities:
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By rounding to 1 significant figure, estimate
22.4 x 49.8
In triangle ABC, angler A is 35 degrees, and angle b is 20 degrees. Select all triangles which are similar to triangle ABC
The triangle which are similar to ABC are:
Triangle DEF where ∠D is 35° and ∠E is 20°.Triangle JKL where ∠J is 35° and ∠L is 125°.Triangle MNO where ∠N is 20° and ∠O is 125°.The connecting of three non-collinear points results in a triangle, which is a three-sided closed-plane object. Triangles can be classified into three categories based on their side properties: equilateral, scalene, and isosceles.
We know that the when we sum all the interior angles of a triangle, we get 180°.
Given that, A triangle ABC has ∠A = 35° and ∠B = 20°.
∴ ∠C = 180° - 35° - 20°.
∠C = 125°.
Triangle will be similar if every corresponding angle of different triangles has the same measure. So, Triangles that are similar to triangle ABC is triangle DEF where ∠D is 35° and ∠E is 20° and triangle JKL where ∠J is 35° and ∠L is 125° and triangle MNO where ∠N is 20° and ∠O is 125°.
Therefore, triangle DEF, JKL and MNO are similar to triangle ABC.
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The given question is incomplete. Here is the complete Question:
Which two steps will complete the list correctly? 4. Divide the original measurement by the conversion factors. 5. Check for reasonableness. 4. Multiply the acoriginal measure by the conversion factors. 5. Simplify the answer. 4. Multiply the original measure by the conversion factors. 5. Check for reasonableness. 4. Divide the original measure by the conversion factors. 5. Simplify the answer.
Two steps that will complete the list correctly are:
4. The original measurement should be multiplied by the conversion factors.
5. Verify that it makes sense.
What is meant by conversion factor?A conversion factor can be used to switch from one set of units to another by multiplying or dividing a number. When a conversion is necessary, the appropriate conversion factor to an equivalent value must be applied.
Let's use an example of converting from inches to centimeters to address this query.
10 inches should be converted to cm.
The first step is to identify the measure that has to be converted, which in this case is inches.The conversion factors, which are; are written in the second step. 1 inch equals 2.54 centimetersThe third step is to cancel the units; in this instance, inches will be cancelled.The original measurement is multiplied by the conversion factor in the fourth step to give; 10 × 2.54 cm = 25.4 cmThe fifth stage is to assess reasonableness by attempting to determine whether choosing a different number will produce a reasonable result.To know more about units, visit:
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7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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find the average value of f(x, y, z) = z over the region bounded below by the xy-plane, on the sides by the sphere x2 y2 z2 = 81, and bounded above by the cone = 3 .
The average value of f(x, y, z) = z over the region bounded below by the xy-plane, on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, and bounded above by the cone z = \(\sqrt{(x^2 + y^2)}\) is 0.
How to find Average value of z in given region?To find the average value of a function f(x, y, z) = z over the given region, we first define the boundaries. The region is bounded below by the xy-plane, meaning all points have z = 0.
It is bounded on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, which represents a solid sphere centered at the origin with a radius of 9. Finally, it is bounded above by the cone z = √\(\sqrt{(x^2 + y^2)}\), where the height of the cone is equal to the distance from the origin.
To calculate the average value, we need to find the volume of the region and compute the triple integral of f(x, y, z) = z over that volume.
However, since the function f(x, y, z) = z is an odd function with respect to z and the region is symmetric, the positive and negative contributions of z will cancel each other out, resulting in an average value of 0.
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In a shelter 15% of the animals are puppies, 45% are cats, and the rest are adult dogs. Based on this information ,if there are 50 animals at the shelter how many are adult dogs ?
Which proportion is solved correctly using cross products?
4/6 = 12/18 = 4x12=9x18
or
4/6 = 12/18 = 4x12=9x12
The proportion that is solved correct using cross products is given as follows:
4/6 = 12/18 = 4x18 = 6x12
How to solve a proportion applying cross product?A proportion represents a fraction of a total amount, hence it is written as follows:
p = x/y.
In which the terms are given as follows:
x is the numerator of the fraction.y is the denominator of the fraction.For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.
The proportion in this problem is given as follows:
4/6 = 12/18.
Hence the cross product is applied as follows:
4 x 18 = 6 x 12
72 = 72 (which is a true statement).
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4. Draw the image of rectangle `ABCD` under dilation using center `P`and scale factor 1/2
a) Complete the table to help you by counting distances from P.
b) To complete the last column, simply MULTIPLY each distance by the scale factor.
c) Drag the points A'B'C'D' to the correct locations on the grid. Use the LAST column of the table to help you find the NEW locations of the points.
Ellie is renting a paddle boat. The boat rents for a 5 plus 3.50 per hour. She wants to spend under $30 altogether Write an inequality to determine how long she can rent the paddle boat
Yuri measures the height of the water in an aquarium in one metric unit. He then moves the decimal point three units to the left. Which pair of measurements might he be converting? Use the metric table to help answer the question.
Answer:the answer A( kiloliters to liters)
Answer:
Millimeter to Meter
Step-by-step explanation:
write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).
What are three types of arrays?The three types of arrays are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?
An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.
What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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Question is in image
The radius of the spherical part is 3 inches and the length of the tube is 21 cm.
What is the volume of a cylinder?The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.
Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.
The two equations can be formed as below:-
4554 / 7 = πr²l + (2/3)πr³
396 = πr²( l - 9 ) + (2/3)πr³
Subtract the second equation from the first,
( 4554 / 7 ) - 396 = 9πr²
9πr² = 254.5
r² = 9
r = 3 cm
The length will be calculated as:-
4554 / 7 = πr²l + (2/3)πr³
4554 / 7 = π( 3 )²l + (2/3)π(3)³
l = 21 cm
Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.
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Please help! Please help me answer this question,
Answer:
A-4
B-5
C-1
D-3
E-2
Step-by-step explanation:
They all have the same explanation u have to find the point where the line coincides with the x and y axis
E.g on how to work out
Note when the value of y is zero u get the x coordinate and when x is zero u get the y coordinate
C=2x+y=4
To get x 2x+0=4 x=2
Y 0+y=4 y=4
After doing so u locate the line that passes through (2,0),(0,4)
Hope it helps
Answer:
Can you send a screen shot of each graph because its hard to see the coordinate
Step-by-step explanation:
What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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a street light is at the top of a pole that has a height of 15 ft . a woman 4 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. how fast is the tip of her shadow moving away from the pole when she is 22 ft from the base of the pole? (leave your answer as an exact number.)
The tip of the woman's shadow is moving away from the pole when she is 22 ft from the base of the pole is 105/11 feet per second.
Given that :
A street light is at the top of a pole that has a height of 15 ft.
Height of the pole = 15 feet
Height of the woman = 4 feet
The speed at that the woman walks = 7 feet per second.
Let x be the distance of the woman from the pole and y be the distance from the shadow tip of the woman to the pole.
We get two similar triangles.
Using the similarity rule :
(y - x) / y = 4 / 15
15(y - x) = 4y
15y- 15x = 4y
11y = 15x
y = 15/11 x
Differentiating on both sides :
dy/dt = 15/11 dx/dt
= (15/11) (7)
= 105/11 feet per second.
Hence the shadow is moving at a rate of 105/11 feet per second.
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The radius of a circle is 20 centimeters.
What is the circumference, in centimeters, of the circle? Round your answer to
the nearest tenth.
Response:
Answer:
The circumference is 125.7cm
Solve each system by elimination.
x+y=7
5 x-y=5
Answer:
(2,5)
Step-by-step explanation:
Pre-SolvingWe are given the following system:
x + y = 7
5x - y = 5
We want to solve it by elimination. To do that, we will add or subtract the equations together to clear one of the variables, solve for the other variable, and then plug the value of the variable found to find the value of the other variable.
Before we eliminate, we need to have one of the variables have the same coefficient, but with opposite signs - we can see that is the case with the y's, so we can add the two equations together.
SolvingAdd the 2 equations together.
x + y = 7
5x - y = 5
___________
6x = 12
Divide both sides by 6.
6x = 12
÷6 ÷6
___________
x = 2
Now, substitute 2 as x in either x + y = 7 or 5x - y = 5
Taking x + y = 7 for instance,
2 + y = 7
Subtract 2 from both sides.
y = 5
The answer is x = 2, y = 5. As a point, it is (2,5).