Answer:
To convert 130 kph to mph, we can use the conversion factor 1 kph = 0.62 mph:
130 kph × 0.62 mph/kph ≈ 80.6 mph
So the maximum whole-number speed that Hannah can drive without exceeding the speed limit is 80 mph (option D).
Step-by-step explanation:
Write an equation for the polynomial graphed below
The polynomial function that best fits the graph is f(x) = 130(x+3)(x-2)²(x-5).
The given graph exhibits three x-intercepts at x = -3, 2, and 5, and the y-intercept is positioned at (0, 2). The graph passes through the x-axis linearly at x = -3 and x = 5, indicating that the corresponding factors of the polynomial will be linear. However, at x = 2, the graph bounces off the x-axis at the intercept, implying that the corresponding factor of the polynomial will be quadratic. Therefore, the polynomial function can be expressed as follows:
f(x) = a(x+3)(x-2)²(x-5)
To find the stretch factor 'a,' we can use another point on the graph, such as the y-intercept (0, 2). By plugging in the values, we obtain:
f(0) = a(0+3)(0-2)²(0-5)
-2 = a(0+3)(0-2)²(0-5)
-2 = -60a
a = 130
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Can someone please explain this to me?
[tex]\textit{since we know that }\triangle FGH \cong \triangle CDE \\\\[-0.35em] ~\dotfill\\\\ HF=EC\implies -3s+44=-3t+50 \\\\\\ HG=ED\implies 6s=t+43\implies \boxed{6s-43=t} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{-3s+44=-3(6s-43)+50}\implies -3s+44=-18s+129+50 \\\\\\ 15s+44=129+50\implies 15s+44=179\implies 15s=135 \\\\\\ s=\cfrac{135}{15}\implies \boxed{s=9}\hspace{9em}\stackrel{ 6(9)-43 }{\boxed{t=11}}[/tex]
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The graph that shows a proportional relationship between x and y is given as follows:
Graph D.
What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
From the equation y = kx we have that it is a linear function with intercept of zero, meaning that the graph D represents the proportional relationship for this problem.
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A 9v battery produces a current of 18 amps. What is the resistance
If a 9v battery produces a current of 18 amps then the resistance of the circuit element is 0.5 ohms.
We can use Ohm's law to determine the resistance (R) of a circuit element
Given the voltage (V) and current (I) through it:
R = V / I
In this case, the voltage (V) is 9 volts and the current (I) is 18 amps. Substituting these values into the formula, we get:
R = 9 V / 18 A
Simplifying the expression on the right-hand side, we get:
R = 0.5 Ω
Therefore, the resistance of the circuit element is 0.5 ohms.
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What are the values of w and x?
The angle measures of w and x are given as follows:
w = 51º.x = 78º.How to obtain the angle measures?In this problem we have an isosceles triangle, meaning that two of the side lengths, along with two of the angle measures, are congruent.
The congruent side lengths are given as follows:
SR and RQ.
Hence the congruent angle measures are given as follows:
w -> opposite to SR.51º -> opposite to RT.Hence angle w is given as follows:
w = 51º.
The sum of the measures of the internal angles of a triangle is of 180º, hence the measure of angle x is given as follows:
x + 2 x 51 = 180
x = 180 - 102
x = 78º.
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a cable technician working fo the local cable company needs to lay down cable down through the neighborhood below. He is unsure how much cable cable he needs, though. Use the pythagorean theorem to help him find the length in feet of cable he needs to fufill his duty
A roller for construction work is 5 feet in diameter. When the roller has made one turn, how far has it
traveled?
Answer:
Approximately 15.7 ft
Step-by-step explanation:
We want to find the circumference of the circle
C = pi * diameter
C = pi *5
C = 5pi ft or approximately 15.7 ft
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
Considering the given graph, we infer that while rolling a dice is random, the median values do exhibit some patterns that can be analyzed and used to make predictions about the expected values.
What is the information from the graph?Looking at the median data from the graph, we can infer that option A is not true, as the median appears to be equally likely to fall between any two numbers from 1 to 6. However, we can also infer that option B is not entirely accurate.
While it is true that rolling a dice is random and each roll is independent, we can observe patterns in the median data.
For example, the median values are more likely to be closer to 3.5, which is the theoretical median value of a fair six-sided dice. This suggests that the more times the dice is rolled, the more likely the median value will approach the expected value.
We can also observe that the spread of the median values tends to decrease as the number of rolls increases, indicating that more rolls lead to more consistent results.
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Help me please this is getting tricky!
1. The difference between the longest and shortest pencil is 4 5/12
2. The total length is 22 3/4 inches
3. The statement is false
4. There are 9 pencils that measure more than 5½ inches and less than 7 2/4 inches
What is word problem?A word problem is a math problem written out as a short story or scenario. This statements are interpreted into mathematical equation or expression.
1. The difference between longest and shortest pencil = 8⅔ - 4¼
= 26/3 - 17/4
= (104-51)/12
= 53/12 = 4 5/12
2. The total length of pencils less than 5 ½ inches = 5×2 + 17/4 × 3
= 10+ 51/4 = 40+51)/4
= 91/4 = 22 3/4 inches
3. The Statement is false because the pencils less than 6 inches is 8 and not upto half of the total pencil
4. There are 9 pencils that measure more than 5½ inches and less than 7 2/4 inches.
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Janeesa lives 247.5 miles away from her grandmother, and the speed limit on that stretch of
highway is 55 miles per hour. Today, she only has 4 hours to get to her grandmother's birthday
lunch on time!
How much faster over the speed limit does Janeesa need to drive to make it on time? Round to the
tenths place if your answer isn't a whole number.
mph.
Janeesa needs to drive about 6.9 mph faster than the speed limit to make it on time.
What is the speed limit
To find out how fast Janeesa needs to drive to make it on time, one can use the formula:
distance = rate x time
In this case, the distance is 247.5 miles, the time is 4 hours, and the rate is what we're trying to find. Rearranging the formula to solve for rate, we get:
rate = distance / time
Plugging in the values we know, we get:
rate = 247.5 / 4 = 61.875
To know how much faster Janeesa needs to drive, one has to subtract the speed limit from the required speed:
Speed Difference = Required Speed - Speed Limit
= 61.875 mph - 55 mph
= 6.875 mph
Therefore, Janeesa needs to drive approximately 6.9 mph faster than the speed limit to make it on time.
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Find the standard form of the equation of the parabola with the given characteristic(s) and vertex at the origin. Focus (0,1)
A recipe uses 3/4 teaspoon of cinnamon for every 4 cups of granola mix.
How many teaspoons are needed for 12 cups of granola mix?
Okay, here are the steps to solve this problem:
* The recipe calls for 3/4 teaspoon of cinnamon for every 4 cups of granola mix.
* So for 1 cup of granula mix, you need 3/4 / 4 = 3/12 teaspoon of cinnamon.
* For 12 cups of granula mix, you would need 12 * (3/12) = 3 teaspoons of cinnamon.
Therefore, for 12 cups of granola mix you would need 3 teaspoons of cinnamon.
Why do you think influences exchange rates?
(Subject: Economics)
Precision manufacturing: A process manufactures ball
bearings with diameters that are normally distributed
with mean 25.1 millimeters and standard deviation
0.08 millimeter.
a. Find the 60th percentile of the diameters.
b. Find the 32nd percentile of the diameters.
c. A hole is to be designed so that 1% of the ball bearings will
fit through it. The bearings that fit through the hole will be
melted down and remade. What should the diameter of the
hole be?
WHAT IS THE 3 KINDS OF SYSTEM OF LINEAR EQUATION ACOORDING TO THE No. OF SOLUTIONS BRAINLY
The types of systems of linear equations are as follows:
Dependent: The system has infinitely many solutions. The graphs of the equations represent the same lines. Example:
. The system has infinitely many solutions.
Independent: The system has exactly one solution. The graphs of the equations intersect at a single point.
Inconsistent: The system has no solution. The graphs of the equations are parallel lines.
how many square killometers
Answer:
120 km²
Step-by-step explanation:
You just need to add all areas, (3×5) + (9×3) + (13×6) = 15 + 27 + 78 = 120
Comparing Rates of Change Station Cards
(y=mx+b form)
Write a function rule that has a rate of change greater than the function
that passes through the points given in the table.
-2
-1
0
1
2
7
1
-2
-5
Answer: y = -4x + 1. Brainliest?
Step-by-step explanation:
To write a function rule that has a greater rate of change than the given function, we need to find the slope of the given function. We can use the two points (-2, 7) and (2, -5) from the table to calculate the slope as:
slope = (change in y) / (change in x) = (-5 - 7) / (2 - (-2)) = -3
So the slope of the given function is -3. To create a new function rule with a greater rate of change, we can choose a larger slope. Let's choose a slope of -4. We also need to find the y-intercept (b) of the new function, which we can do by plugging in one of the points from the table and solving for b. Let's use the point (0, 1):
y = mx + b
1 = (-4)(0) + b
b = 1
So the function rule with a greater rate of change and passing through the point (0, 1) is:
y = -4x + 1
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
Answer: The answer to your question is C. Brainliest?
Step-by-step explanation:
For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:
2/12 = (2 x 5) / (12 x 5) = 10/60
For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:
2/15 = (2 x 4) / (15 x 4) = 8/60
Now, we can add the two fractions:
10/60 + 8/60 = 18/60
Simplifying this fraction by dividing both numerator and denominator by 6, we get:
18/60 = 3/10
Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.
The answer is C. 0.3.
Help asap math homework
Find the volume of the right cone below. Round your answer to the nearest tenth if necessary.
16
7
The volume of the given right cone is approximately 597.9 cubic units.
In this problem, we are going to find the volume of a right cone. A cone is a three-dimensional object that has a circular base and tapers to a point. The term "right" means that the axis of the cone is perpendicular to its base. The formula for the volume of a right cone is V = (1/3)πr²h, where V is the volume, r is the radius of the circular base, and h is the height of the cone.
Now, let's apply this formula to the given cone. We are given that the radius of the circular base is 16 and the height of the cone is 7. So, we can substitute these values into the formula to get:
V = (1/3)π(16)²(7) V = (1/3)π(256)(7) V = (1/3)(1,792π) V ≈ 597.9
We round our answer to the nearest tenth as requested. So, the final answer is V ≈ 597.9.
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Help on Part A and B
Answer:
The Correct answer is B
Step-by-step explanation:
Which angles are adjacent to AGC? Select all that apply.
An urn contains 10 red balls, 20 yellow balls, and 60 orange balls. If you reach into the urn and select a single ball at random, what is the probability of selecting a orange ball?
Answer:
2/3 or 67%
Step-by-step explanation:
To find the exact probability for you to reach into the orange balls you'll have to do a data table on which you'll include how many orange balls are by the total amount of balls that are within the urn.
For example:
The urn contains:
* 10 red balls
* 20 yellow balls
* 60 orange balls
Total amount of balls that you have on the urn is 90, you'll get this result by doing a simple addition of the table of content.
Afterwards, we have to find the probability, so you will have to take the amount of orange balls (which is 60) and divide it by 90 (Which is the total amount of balls you have on the urn).
60/90
A quick tip for you to do this on a simplified manner is by dividing the numerator and the denominator by their greatest common divisor (Which in this case is 30) (30x2 = 60) (30x3 = 90)
60/90 = (60 divided 30) / (90 divided 30) = 2/3
To resolve this problem, we get that the probability of selecting an orange ball is 2/3 or approximately 0.67 which we'll simplify to 67%
I hope this helped you
Can you explain why you need to multiply x and y (and not add x and y) when you are adding
logarithms?
The exponent by which base b must be raised to get a positive real number an is the logarithm of a positive real number a with regard to base b, a positive actual number that is not exactly one.
What is a logarithm?A logarithm is the power to which a number must be raised in order to receive extra values. The simplest approach to express really large numbers is in this way. A number of important features of a logarithm demonstrate the fact that multiplication and division of logarithms can also be used to represent addition and subtraction logarithms.
The exponent by which base b must be raised to get a positive real number an is the logarithm of a positive real number a with regard to base b, a real number that is positive but not equal to one.
i.e., [tex]b^y=a[/tex] ⇔ [tex]log_b[/tex] a = y
In this case, "A" and "B" are two positive real numbers.
Y is an actual number.
Argument occurs inside the log as "a" by the name argument.
It is said that the base, or "b," is at the bottom of the log.
To put it another way, the logarithm provides a solution to the problem of "How many times is a number divided to get the other number?"
How numerous times must three be multiplied, for instance, to yield the number 27?
27 is the outcome of multiplying 3 times by 3.
Consequently, the logarithm is 3.
The logarithm form is written as follows:
[tex]log_3[/tex] (27) = 3 - equation 1
The base 3 logarithm of 27 is therefore 3.
It is also possible to write the above logarithm form as:
3x3x3 = 27
3³ = 27 - equation 2
Equations (1) and (2) are hence equivalent.
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Does each of these graphs have an Euler circuit? If so, find it.
Only first figure of graph have an Euler circuit.
We have to given that;
There are 3 graphs are shown in figure.
Since, A graph has an Euler circuit if and only if the degree of every vertex is even.
Hence, In first graph,
Every vertex have even degree with 2 or 4.
Thus, It shows an Euler circuit.
In second graph,
Some vertex have odd degree with 3.
Hence, It does not shown an Euler circuit.
In third graph,
Some vertex have odd degree with 3.
Hence, It does not shown an Euler circuit.
Thus, Only first figure of graph have an Euler circuit.
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Marcus and Tony work for Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 9 hours. Tony lays the same size slab in 3 hours. If both work on the job and the cost of labor is $48.00 per hour, decide what the labor estimate should be.
If both Tony and Marcus work on the job and the cost of labor is $48.00 per hour then labor estimate for the job is $576.00.
Marcus: 1 slab / 9 hours = 1/9 slab per hour
Tony: 1 slab / 3 hours = 1/3 slab per hour
The total amount of work they can do in one hour is the sum of their individual rates:
Marcus and Tony: 1/9 + 1/3 = 4/9 slab per hour
So together, Marcus and Tony can lay 4/9 of a slab per hour.
time = work / rate
time = 1 / (4/9) = 2.25 hours
total labor cost = hours worked x cost per hour
The total number of hours worked is the sum of the hours worked by Marcus and Tony:
total hours worked = 9 hours + 3 hours = 12 hours
The cost per hour is $48.00, so the labor estimate for the job is:
total labor cost = 12 hours x $48.00/hour
= $576.00
Therefore, the labor estimate for the job is $576.00.
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1. You go to the ice cream shop with your friends and you can choose an ice cream,
and sprinkles. How many different sundaes can you make when you order one flavor
cream, one topping and one color of sprinkles from the chart below? Show all possib
outcomes in a tree diagram.
10
Ice Cream
Chocolate
Vanilla
Strawberry
Topping
Fudge
Marshmallow
b. P (Chocolate, Fudge, Rainbow)
S
C
F
How many sample spaces are there? HINT: How many possible combination
There are 18 possible combinations of ice cream, topping, and sprinkles.
Probability P(Chocolate, Fudge, Rainbow) = 1/18
How to Solve the Probability?There are 18 different possible sundaes that can be made when choosing one flavor of ice cream, one topping, and one color of sprinkles.
To visualize all the possible outcomes, we can use a tree diagram:
Ice Cream
|
------------------------------
| | |
Chocolate Vanilla Strawberry
| | |
-------------- -------------- --------------
| | | | | |
Fudge Marshmallow Fudge Marshmallow Fudge Marshmallow
| | | |
-------------- -------------- --------------
| | | | | |
Rainbow Chocolate Rainbow Vanilla Rainbow Strawberry
So there are 18 possible combinations of ice cream, topping, and sprinkles.
To answer part b) which asks for the probability of choosing Chocolate ice cream with Fudge topping and Rainbow sprinkles, we need to know the total number of possible outcomes (which we just calculated as 18) and the number of outcomes that match the specific combination of Chocolate ice cream, Fudge topping, and Rainbow sprinkles. There is only one outcome that matches this combination, so the probability is:
P(Chocolate, Fudge, Rainbow) = 1/18
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The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WX?
The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, the length of side WX is 13 mm.
If the scale factor of figure STUV to figure WXYZ is 3:1, it means that every length in figure STUV is three times longer than the corresponding length in figure WXYZ.
To find the length of side WX, we need to first identify the corresponding sides of the two figures. We know that ST is three times longer than W, and SV is three times longer than Y. So, we can set up the following proportion:
ST/WX = SV/YZ
Substituting the given values, we get:
39/WX = 51/YZ
We need to find the value of WX, so we can solve for it by cross-multiplying the proportion:
39 * YZ = 51 * WX
Since we don't know the value of YZ, we need to find it in terms of WX. We can use the scale factor of 3:1 to relate the lengths in the two figures:
ST = 3 * W
SV = 3 * Y
Substituting the first equation, we get:
W = ST/3 = 39/3 = 13 mm
Substituting the second equation, we get:
Y = SV/3 = 51/3 = 17 mm
Now we can substitute these values into the proportion:
39/WX = 51/17
Solving for WX, we get:
WX = (39 * 17) / 51 = 13 mm
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Complete question is:
The scale factor of figure STUV to figure WXYZ is 3:1. If ST = 39 mm and SV = 51 mm, what is the length of side WX?
Help now quickly will give brainlist
Answer:
x = - 12
Step-by-step explanation:
the central angle subtended by the arc with measure 45° are congruent, that is central angle is 45°
the 3 angles on the diameter then sum to 180° , that is
45 + 65 + x + 82 = 180
x + 192 = 180 ( subtract 192 from both sides )
x = - 12
Base twelve needs twelve digits, so we use t for ten and e for eleven and our usual ten digits. What base ten number does 1t5e twelve represent?
Therefore, 1t5e twelve represents the number 3239 in base ten.
what is system of equations?
A system of equations is a set of two or more equations with the same variables. The solution to a system of equations is a set of values for the variables that satisfy all the equations in the system simultaneously.
For example, consider the following system of two equations:
x + y = 5
2x - y = 3
This is a system of two equations with two variables, x and y. The solution to this system is the values of x and y that make both equations true at the same time. In this case, the solution is x = 2 and y = 3, because when we substitute these values into the equations.
In base twelve, the place values increase by a factor of twelve at each position, starting from the rightmost position. The rightmost position has a place value of 1, the next position to the left has a place value of 12, the next position to the left has a place value of 12^2 = 144, and so on.
To convert the number 1t5e in base twelve to base ten, we need to multiply each digit by its corresponding place value, and then add up the results:
1t5e (base twelve) = 1 * 12^3 + 10 * 12^2 + 5 * 12^1 + 11 * 12^0
= 1 * 1728 + 10 * 144 + 5 * 12 + 11 * 1
= 1728 + 1440 + 60 + 11
= 3239
Therefore, 1t5e twelve represents the number 3239 in base ten.
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