james has saved $200 to purchase
some skateboarding equipment. Can he spend
less than 50% of his savings on skateboarding
shoes and knee pads? Explain
Answers
Answer:
Question Cannot Be Answered.
Step-by-step explanation:
In order to answer this question, we would need to know the price of shoes and knee pads.
Related Questions
70 POINTS I HAVE A PIC Approximate negative eight plus the square root of twenty to the nearest tenth.
4.5
3.5
−3.5
−4.5
Answers
Answer:
-3.5
Step-by-step explanation:
You can do this without a calculator.
Since √16 = 4 and √25 = 5, you can be sure that √20 will be between 4 and 5. So your answer will be between -8+4 and -8+5.
This is between -4 and -3, and there is only one answer listed, answer C.
BTW, the unrounded answer is: -3.527864045000420607181652662537447529118763280776948551458205509...
-8+√20=-3.5
We need to find value of -8+√20 and we have to round it to nearest tenth
What is a surd?
An expression with square root , cube root or other root symbol
-8+√20=-8+√(4*5)
=-8+2√5
=-8+2(2.23606)
=-8+4.47212
=-3.527
Therefore the answer is -3.5
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4.(06.07 HC)A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table below shows the data:Number of hours spent studying 0 0.5 1(x)1.5 2 2.5 33.54Score on science test(y)57 62 67727782 879297Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer. (4 points)Part B: Write a function which best fits the data. (3 points)Part C: What does the slope and y-intercept of the plot indicate? (3 points)(10 points)
Answers
For part A. One way to know if there is a correlation between the data is to graph the data set, like this
Then, as can you see the data presents a positive linear correlation.
For part B. You can take the coordinates of two points and find the slope of the line using the formula
\(\begin{gathered} m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \text{ Where m is the slope of the line and} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are two points through which the line passes} \end{gathered}\)If you take
\(\begin{gathered} (x_1,y_1)=(1,67) \\ (x_2,y_2)=(3,87) \\ \text{ You have} \\ m=\frac{87-67}{3-1} \\ m=\frac{20}{2} \\ m=10 \end{gathered}\)Now, using the slope formula, you can find the equation of the line in its slope-intercept form
\(\begin{gathered} y-y_1=m(x-x_1) \\ y-67=10(x-1) \\ y-67=10x-10 \\ \text{ Add 67 on both sides of the equation} \\ y-67+67=10x-10+67 \\ y=10x+57 \end{gathered}\)Therefore, the function that best fits the data is
\(y=10x+57\)For part C. The slope of the plot is 10 and indicates that for every hour students spend time studying, they get 10 more points on the science test.
The y-intercept of the plot is 57 and indicates that if students study 0 hours for the science test, they will obtain 57 points as a grade.
The sum of 9 times a number and 7 is 6
Answers
Given statement solution is :- The value of the number is -1/9.
Let's solve the problem step by step.
Let's assume the number we're looking for is represented by the variable "x".
The problem states that the sum of 9 times the number (9x) and 7 is equal to 6. We can write this as an equation:
9x + 7 = 6
To isolate the variable "x," we need to move the constant term (7) to the other side of the equation. We can do this by subtracting 7 from both sides:
9x + 7 - 7 = 6 - 7
This simplifies to:
9x = -1
Finally, to solve for "x," we divide both sides of the equation by 9:
9x/9 = -1/9
This simplifies to:
x = -1/9
So, the value of the number is -1/9.
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Y=x-10 Y=-4x-5
Solve using substitution
Answers
Answer:
x = 1
Step-by-step explanation:
Both equations can be set equal to each other since they are both equal to y:
\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)
equate both equations !
x - 10 = -4x - 5
5x - 10 = -5
5x = 5
x = 1
therefore x = 1
Solve using substitution.
x + 7y = 18
2x + 9y = 16
Answers
Answer:
x= -10
y= 4
Step-by-step explanation:
it will be easiest to isolate x in the first equation
x+7y=18
-7y. -7y
x=18-7y
now that we know x we will it into second equation
2(18-7y)+9y=16
36-14y+9y=16
36-5y=16
-36. -36
-5y=-20
/-5 /-5
y=4
now fill in y to find x
x+7(4)=18
x+28=18
-28 -28
x= -10
hopes this helps please mark brainliest
f(x)=x^2-4
g(x)=2x+1
solve fg(x)>0
SHOW WORKING
Answers
Answer:
To find the values of x that make fg(x) > 0, we first need to find fg(x). We can do this by composing the functions, which means replacing x in g(x) with the expression for f(x):
fg(x) = f(g(x)) = f(2x + 1) = (2x + 1)^2 - 4
Now we can solve the inequality fg(x) > 0:
(2x + 1)^2 - 4 > 0
(2x + 1)^2 > 4
2x + 1 > 2 or 2x + 1 < -2
x > -1.5 or x < -2.5
So the values of x that make fg(x) > 0 are x > -1.5 or x < -2.5.
Find the coordinates of the centroid of the triangle with the given vertices.
F(1, 5), G(-2, 7), H( – 6, 3)
Answers
The coordinate of the centroid of the given triangle will be at (-2.33,5).
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The given triangle with vertices has been drawn.
The midpoint of H( – 6, 3) and F(1, 5) will be as,
x = (-6 + 1)/2 = -2.5
y = (3 + 5)/2 = 4 so D(-2.5,4)
The coordinate of the centroid will intersect 2:1 of the median from the vertex side.
Thus by intercept formula,
x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)
x = -2.33 and y = 5
So the coordinate of vertices will be (-2.33,5).
Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".
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Solve the system of equations. y=-3x+4 -4x+y=-10
Answers
Answer:
Step-by-step explanation:
In this particular case we have the following system of equations:
y
=
−
3
x
+
4
[
E
q
.
1
]
x
+
4
y
=
−
6
[
E
q
.
2
]
Substituting
[
E
q
.
1
]
in
[
E
q
.
2
]
:
x
+
4
(
−
3
x
+
4
)
=
−
6
Applying the distributive property on the left side:
x
−
12
x
+
16
=
−
6
Simplifying
:
−
11
x
=
−
22
Solving for
y
:
x
=
−
22
−
11
=
2
Substituting
x
=
2
in
[
E
q
.
1
]
:
y
=
−
3
(
2
)
+
4
=
−
2
Therefore
, the solutions are
x
=
2
and
y
=
−
2
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\(y = - 3x + 4\)
Add sides 3x
\(y + 3x = 3x - 3x + 4\)
\(3x + y = 4\)
_________________________________
\(1) \: 3x + y = 4\)
\(2) \: - 4x + y = - 10\)
Multiply sides of the (( equation 2 )) by - 1
\(1) \: 3x + y = 4\)
\(2) \: 4x - y = 10\)
Add up equations
\(3x + 4x + y - y = 4 + 10\)
\(7x = 14\)
Divide sides by 7
\( \frac{7x}{7} = \frac{14}{7} \\ \)
\(x = 2\)
Put the value of x in one of the (1) or (2) equations to find the value of y .
I put it in equation 1 :
\(3x + y = 4\)
\(3(2) + y = 4\)
\(6 + y = 4\)
\(y + 6 = 4\)
Subtract sides 6
\(y + 6 - 6 = 4 - 6\)
\(y = - 2\)
And we're done...
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homes 1 calculate the expected value and standard deviation of x, and enter them in the respective blanks below. round each answer to the nearest first decimal digit.
Answers
To calculate the expected value and standard deviation of a variable, we first need to have a dataset or probability distribution. However, you haven't provided any specific information about variable x or the data.
In general, the expected value of a variable is the sum of each value multiplied by its corresponding probability. It represents the average value we expect to obtain from a random sample. The standard deviation measures the dispersion or variability of the data points around the expected value. It provides an understanding of how spread out the data is from the mean. These calculations are crucial in statistics for analyzing and summarizing data.
If you can provide the necessary information about the variable x, such as its data or probability distribution, I will be happy to assist you in calculating the expected value and standard deviation.
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Can someone please help me with #23 and #24 of the congruence statements and practice #4 assignment?
Directions: Draw and label an angle to fit each description.
Answers
Answer:
Hi I hope this helps
Step-by-step explanation:
-Acute angle: An angle less than 90 degrees (looks narrow unlike an obtuse angle which looks wide because it is over 90 degrees)
-Straight angle: An angle that is half a circle, or 180 degrees
kia practices the piano in 15 minute session.During a week,she practices for 345 minute.how many sessions did she practice during the week
Answers
Answer:
23 sessions
Step-by-step explanation:
345min (total) ÷ 15min (each session)
= 23 sessions
Find the maximum rate of change of f at the given point and the direction in which it occurs.
F(x, y, z) = (8x + 5y)/z
(5, 6, -1)
maximum rate of change
direction vector
Answers
The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.
The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.
The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:
∂f/∂x = 8/z
∂f/∂y = 5/z
∂f/∂z = -(8x + 5y)/z^2
Evaluated at the point (5, 6, -1), we have:
∂f/∂x = 8/(-1) = -8
∂f/∂y = 5/(-1) = -5
∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46
So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).
The maximum rate of change of f at this point is given by the magnitude of the gradient vector:
|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.
Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.
To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:
Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).
Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).
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A taxi driver's total income is AED 100 per day, less AED 600. Her expenses are AED 35 per day, plus
AED 450.
Which of the following statements is true?
Let x represent the number of days and y represent the total income or expenses.
Answers
Answer:
the AED450
Step-by-step explanation:
I don't know what to say about my answer but I think it's just the best way to anwers
A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
Answers
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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Solve the following equation and then check your solution. Show all of your work.
24-3x=-27 what is x
Answers
Answer:
x=17
Step-by-step explanation:
First, Isolate the variable x by transposing it.
24-3x=-27
-3x=-27-24
Add the equation.
-3x=-51
Simplify x by multiplying both sides by 1/-3.
-3x/-3= -51/3
x=17
Answer:
X =17
Step-by-step explanation:
24-3x = -27
collect like terms
-3x = -27 -24( crossing the = sign turns 24 negative)
-3x = -51
divide both sides by the coefficient of x
-3x/-3 = -51/-3( negative signs cancels each other out)
x = 17
PLSSSS HELP
Find the intersection of the circle x^2+ y^2 = 29 and y = x - 3 algebraically,
Answers
Draw an area model and then solve using the standard algorithm
Answers
Answer:
well if your asking for 21 x 23 its 483
Step-by-step explanation:
Hi if the awnser for the equation is not the anwser your looking for please comment so I can help you with something else and here how you get the anwser you can break 21 and 23 down so 20 +1 and 20+ 3 then these steps or array.
20x20=400
20x1=20
20x3=60
3x1=3
Now add those numbers together you get 483
You are offered an hourly job making $19 per hour. If you are scheduled to work 45
hours per week. What would the weekly gross pay for this job be?
Answers
Answer: 855 is the answer
v - 8 = 7
please show the work. i'll give brainliest to the best answer.
Answers
add 8 to both sides
v = 15
Answer:
v=15
Step-by-step explanation:
Move the constant to the right-hand side and change its sign.
v=7+8
Add the numbers.
v=15
What is the equation of the graph \(y=x^3\) under a vertical stretch by the factor 2 followed by a horizontal translation 3 units to the left and then a vertical translation 4 units down?
a.) \(y=2(x+3)^3+4\)
b.) \(y=2(x-3)^3+4\)
c.) \(y=2(x+3)^3-4\)
d.) \(y=2(x-3)^3-4\)
![What is the equation of the graph [tex]y=x^3[/tex] under a vertical stretch by the factor 2 followed](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/8Vx02Y7VaIKaYXmeRYbUgtczpFObVjga.png)
Answers
Answer:
C. y = 2 (x + 3)³ − 4
Step-by-step explanation:
y = x³
Stretch vertically by 2.
y = 2x³
Shift horizontally 3 units to the left.
y = 2 (x + 3)³
Shift vertically 4 units down.
y = 2 (x + 3)³ − 4
It’s due tdddd help
Answers
Answer:
-46
Step-by-step explanation:
-7×-7= 49
3-49= -46
-46 is the answer
Which equation represents twenty-nine is one-third of the number n?
Answers
Answer:
29=n/3
Step-by-step explanation:
Answer:
29 = n/3
Step-by-step explanation:
\(29 = \frac{1}{3} of \: n \\ 29 = \frac{1}{3} \times n \\ 29 = \frac{n}{3} \)
What are examples of functions in real life situation?
Answers
The examples of functions in real life situation is given below .
In the question,
we have to give few examples for functions in real life .
the term Function is defined as as a relationship between two variables where for every input variable there is one output variable.
the examples are :
Example 1 :
Suppose that a car is driving at a constant speed of 30 mph.
the total distance "d" is equal to the rate, 30 times the time "t" ,that we drive for . the function for the relationship between our distance, d, and the time for driving is
d = f(t) =30 × t .
Example 2:
Suppose that the cost for 1 bag is $9 , then the function for the cost of "x" bags can be written as
Cost = f(x) = 9x .
Therefore , the real life situations examples are shown above.
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An ice cream cone measures 4 in across the opening of the cone. Two hemisphere shaped scoops of ice cream, which have diameters of 4in, are placed on top of the cone. As the ice cream melts, it begins to fill the ice cream cone. How deep must the cone be so that the melted ice cream will fill the cone exactly to the top without overflowing?
Answers
Answer:
8 inches
Step-by-step explanation:
The volume of a hemisphere is half the volume of a sphere.
Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.
If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.
As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.
The formulas for the volume of a cone and the volume of a sphere are:
\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\) \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)
The depth of the cone is its height.
Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).
\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)
Therefore, the depth of the cone must be 8 inches.
The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.
1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.
2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.
3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.
4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.
- For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.
5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.
6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.
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Write the following using index notation:
a)2 x 2 x 2
b)x3 x 3 x 3 x 3
c)4 x 4 x 4 x 5 x 5
d)9 x 7 x 9 x 9 x 7 x 9
Answers
Answer:
A) 2^3
B)3^4
C)4^3*5^2
D)9^4*7^2
Step-by-step explanation:
Multiply the following polynomials using distribution
Answers
The multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.
To multiply the polynomial 8x³ by the polynomial (x² + 5x - 6) using distribution, we will distribute each term of the first polynomial (8x³) to every term in the second polynomial (x² + 5x - 6).
Here's the step-by-step process:
Distribute 8x³ to each term of (x² + 5x - 6):
8x³ · x² + 8x³ · 5x + 8x³ · (-6)
Multiply each term:
8x³ · x² = 8x³ · x² = 8x⁵
8x³ · 5x = 40x³⁺¹ = 40x⁴
8x³ · (-6) = -48x³
Combine the resulting terms:
8x⁵ + 40x⁴ - 48x³
Therefore, the multiplication of 8x³ by (x² + 5x - 6) using distribution is 8x⁵ + 40x⁴ - 48x³.
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if p(a) = 0.38, p(b) = 0.83, and p(a ∩ b) = 0.57; then p(a ∪ b) =
Answers
The value of the union of sets A and B is, P(A ∪ B) is 0.64.
The union of two sets means the total elements in both the sets combined.
Given: sets P(A) = 0.38, P(B) = 0.83, and intersection P(A ∩ B) = 0.57
We need to find the union of P(A ∪ B).
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let us substitute the given values in the formula.
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
=0.38+0.83-0.57
=1.21-0.57
=0.64
Therefore, the value of union of sets P(A ∪ B) is 0.64.
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x²-x-6
2
x+3x² - 2x - 3*
Find a reasonable estimate of the limit lim
Answers
According to the given information the limit of the given equation is 1.25 so the correct answer is option a.
What is the definition of a limit in mathematics?Limit, a closeness-based mathematical notion, is largely used to give values to some functions at locations where none are specified, in a manner that is compatible with neighbouring values.
What is meant by "limit of a function"?The value that a function assumes when its input approaches as well as approaches a particular number is really the function's limit. Limits determine continuity, integrals, as well as derivatives. The behaviour of the function at a certain place is always of relevance to the limit of the function.
\(\lim_{x \to 3} \frac{x^2-x-6}{x^2 - 2x - 3} \\\\ \lim_{x \to3} \frac{(x-3)(x+2)}{(x-3)(x+1)} \\\\ \lim_{x \to3} \frac{(x+2)}{(x+1)} \\\\$putting the value x=3$\\\\=\frac{3+2}{3+1} \\\\=\frac{5}{4} \\\\=1.25\)
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Decrease 58 by 41%.
Give your answer to 2 decimal places.
Answers
Answer: 34.22
Find 41% of 58 first.
\(58*0.41=23.78\)
The problem asks to decrease it, meaning you would subtract the percentage from 58.
\(58-23.78=34.22\)
34.22
Suppose y varies inversely with x, and y = 49 when x = 17
. What is the value of x when y = 7 ?
Answers
Answer:
119 is the value of x when y = 7
Step-by-step explanation:
Since y varies inversely with x, we can use the following equation to model this:
y = k/x, where
k is the constant of proportionality.Step 1: Find k by plugging in values:
Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality. We can find k by plugging in 49 for y and 17 for x:
Plugging in the values in the inverse variation equation gives us:
49 = k/17
Solve for k by multiplying both sides by 17:
(49 = k / 17) * 17
833 = k
Thus, the constant of proportionality (k) is 833.
Step 2: Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:
Plugging in the values in the inverse variation gives us:
7 = 833/x
Multiplying both sides by x gives us:
(7 = 833/x) * x
7x = 833
Dividing both sides by 7 gives us:
(7x = 833) / 7
x = 119
Thus, 119 is the value of x when y = 7.