Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Solve the following equation for x:
[tex]1500=1/3(15)^{2} x[/tex]
1. What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
a.9.2 units, 49.4° south of east
b.10.4 units, 40.6 ° south of east
c.9.2 units, 49.4 ° north of west
d. 10.4 units, 40.6 ° north of west
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C)
How to find the magnitude and the direction of a vectorFirst, we need to determine the expression of [tex]\overrightarrow {RS}[/tex] by vector sum:
[tex]\overrightarrow{RS} = S(x,y) - R(x,y)[/tex]
[tex]\overrightarrow{RS} = (-2, 1) - (4, -6)[/tex]
[tex]\overrightarrow {RS} = (-6, 7)[/tex]
The magnitude and the direction of the vector are determined by Pythagorean theorem and inverse trigonometric functions, respectively:
Magnitude[tex]\|\overrightarrow{RS}\| = \sqrt{(-6)^{2}+7^{2}}[/tex]
[tex]\|\overrightarrow{RS} \| = \sqrt{85}[/tex]
Directionθ = tan⁻¹ (7/-6)
θ ≈ 130.601°
The magnitude and the direction of the vector formed by (4, 6) and (-2, 1) are [tex]\sqrt{85}[/tex] (approx. 9.2 units) and 49.4° north of west. (Correct choice: C) [tex]\blacksquare[/tex]
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Thank you for your help please help thanks
Answer: 147m²
Step-by-step explanation:
How do I find the area of the shaded and none shaded regions?
Answer:
96 for both
Step-by-step explanation:
You can see that each region is equal because it is half. 8*12=96. (96/2)*2= Shaded region. 96
So that means the unshaded region is also 96.
Answer:
Find the area of the whole shape, then find the area of the shaded area (which is 2 triangles *).
after that, just minus the area of the shaded areas from the area of the whole shape...
Total Area = Lenght x Width... (16 x 12)
Area of triangle 1 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of triangle 2 = 1/2 x Base x Height.... (1/2 x 12 x 8)
Area of Shaded Region = A of T1 + A of T2
Area of Non-Shaded Region = Total Area - Area of of Shaded Areas
Step-by-step explanation:
Which of the following best explains why one graph appears skewed and one graph appears symmetrical? The scale of the box-and-whisker plot does not start at zero. The interval of the box-and-whisker plot is too large. The interval of the stem-and-leaf plot is not consistent. The scale of the stem-and-leaf plot is too small for the set of data.
The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
What is a symmetric distribution?A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.
For this case, the missing image is attached below.
The stem leaf plot represents the considered bar plot.
But stem leaf plot seems symmetric whereas the box plot isn't.
This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.
Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.
Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.
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Answer:c edge
Step-by-step explanation:
Work out the value of x
2x
7x
this is a Co-intirior angle
Step-by-step explanation:
The sum of co-interior angle = 180°
Now,
2x + 7x = 180°
9x = 180°
x = 180° ÷ 9
x = 20°
Answer:
x = 20
Step-by-step explanation:
Co-interior angles (also called same-side interior angles) are two angles that are on the same side of the transversal and on the interior of (between) the two parallel lines.
Same-side interior angles theorem: If two parallel lines are cut by a transversal, then the same side interior angles are supplementary (add up to 180º).
Therefore, if 2x and 7x are co-interior:
⇒ 2x + 7x = 180
⇒ 9x = 180
⇒ x = 20
A local candy shop sells boxes of chocolate for $3.75 each. If a customer purchases six or more boxes, the cost is only $3.25 per box, plus the customer has an additional $5 fee per order. If C(x) represents the total cost and x represents the number of boxes, which of the following functions best models this scenario?
The piecewise function that models the scenario is:
c(x) = $3.75*x + $5 if x < 6
c(x) = $3.25*x + $5 if x ≥ 6.
How to write a piecewise function?
A piecewise function is a function that behaves differently in different intervals of the domain, like this one, where the cost per box changes depending on the number of box.
The function in this case, if we define x as the number of boxes bought, is:
c(x) = $3.75*x + $5 if x < 6c(x) = $3.25*x + $5 if x ≥ 6.Where the cost per box changes for x equal or larger than 6.
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10k^10/8k^4 simplify ???
help!!!
What are the new coordinates of Point R after a 90 degree clockwise rotation?
Step-by-step explanation:
P(-4,-1)======P'(-1,4)
Q(-4,-3)=====Q'(-3,4)
R(-2,3)======R'(3,2)
the temperature is currently 0°C and
has been falling at a constant rate of 3°C per hour.
If it continues fall at this rate, what will the temperature be:
• in 2 hours?
Answer:-6°
Step-by-step explanation:
-3° the first hour -6° the next
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
Which graph represents the function f(x) = |XI – 4?
Answer:
The graph that is correct is just like the top one that shows on the picture you shared, but instead of being on positive 4 it is on -4
Step-by-step explanation:
Tom drove to visit a museum in Chicago. He traveled at a constant rate of 50 miles per hour for 2 hours. Then he traveled at a constant rate of 65 miles per hour for 1 hour. What is the total distance Tom traveled to the museum?
O:75
O:90
O:165
O:255
Answer:
165
Step-by-step explanation:
First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!
Answer:
The answer is 165 miles.
This is how I solved it:
First I made a chart like the one in the picture
Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.
Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.
Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.
For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.
So, Tom traveled 165 miles to the museum.
Hope this isn't confusing XD
FYI the attachment is just an example from another question so the answers are not the same
A toy bin contains 12 yellow balls,3 orange balls,and 5 white balls. What is the probability of selecting an orange or a white ball?
A. 3/80
B. 3/20
C. 1/4
D. 2/5
Answer:
D. 2/5
Step-by-step explanation:
Your would add the entire amount of balls in the toy bin. 12+3+5 which equals 20. You would then add the number of white and orange balls 3+5. You would then have 8/20 which simplified is 2/5
Write 9/20 as a decimal number
Answer: 0.45
........................
find the area of a triangle 4cm height 6cm base
Answer:
12cm²
Step-by-step explanation:
Area of triangle =1/2×h×b
1/2×4×6
2×6
12cm²
hope dis helps!!!!!
How long is 10% of a 24-hour day?
2.4 hours
Ten percent is ten per every hundred, that is ten percent is Thus ten percent of 24 hours is 0.10 \times 24 = 2.4 hours.
Answer:
2.4 hours
Step-by-step explanation:
24÷10=2.4
When you do this please show the work
Answer:
2) [tex]\displaystyle -9a^3b^5[/tex]
1) [tex]\displaystyle \frac{x^8}{3}[/tex]
Step-by-step explanation:
2) [tex]\displaystyle \frac{(27a^3b^3)(-2ab^4)}{6ab^2} \Rightarrow \frac{(3ab)^3(-2ab^4)}{6ab^2} \\ \\ \boxed{-9a^3b^5} \rightarrow \frac{-54a^4b^7}{6ab^2}[/tex]
1) [tex]\displaystyle \frac{16x^{10}y^2}{48x^2y^2} \Rightarrow \frac{(-4x^5y)^2}{48x^2y^2} \\ \\ \boxed{\frac{x^8}{3}}[/tex]
The Quotient-to-Power Rule states that whenever you are dividng like-terms, you keep the coefficients and deduct the exponents.
I am joyous to assist you at any time.
One bag of alice's trail mix contains 40 grams of almonds and 30 grams of raisins.
0
almonds
raisins
(g)
0
complete the double number line to show the other values of almonds and raisins.
choose 1 answer:
0 40
80 120 160
almonds
Answer:
A
Step-by-step explanation:
I guessed and it was right.
Answer:
B
Step-by-step explanation:
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
3/4
Step-by-step explanation:
In total there are 8 cobblers and 6 out of those 8 are apple cobblers so the fraction would be 6/8 but in simplest form its 3/4.
650ft2 divided by 2/3
Answer:
I'm 100% sure the answer is 4.24
Step-by-step explanation:
please mark as BRAINLIEST
Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5
Answer:
A represents -2.5.......
Answer:
-2.5
Step-by-step explanation:
<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->
When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.
I hope this helps!
To build a snowman, Victor made three snowballs with diameters of
1
meter (m),
1
.
5
m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?
Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.
What is the volume of an sphere?The volume of an sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:
[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]
[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]
[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]
The total volume, in cubic meters, is of:
V = 4.19 + 104.72 + 16.76 = 125.67.
Rounding, the total volume of snow used in the snowman is of 126 m³.
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Which decimal is equivalent to 41/100?
Answer:
I believe its 0.41
Step-by-step explanation:
not 100% sure
hope this helps and is the correct answer : )
Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?
a.0
b.1/2
c.2.5
d.4
Answer:
a. 0
Step-by-step explanation:
Which values from the set {0, 12, 2.5, 4} make the inequality 8g < 4 true?
Our inequality:
8g < 4
Substitute each values from the set {0, 12, 2.5, 4} for g, to find which value makes the inequality true.
For 0:
8g < 4
8(0) < 4
0 < 4
This statemen is true, because 0 is less than 4
For 12:
8g < 4
8(12) < 4
96 < 4
This statemen is false, because 96 is NOT less than 4
For 2.5:
8g < 4
8(2.5) < 4
20 < 4
This statemen is false, because 20 is NOT less than 4
For 4:
8g < 4
8(4) < 4
32 < 4
This statemen is false, because 32 is NOT less than 4
Hope this helps!
4x — 3 = 6х - 7
i need it now
Answer:
x = 2
Step-by-step explanation
4x - 3 = 6x - 7
+7 +7 Adding seven so we can isolate on the Xs
4x + 4 = 6x
-4x -4x Once again, trying to isolate the X
4 = 2x
/2x Divide by 2
2 = x
The Marshall Track Team is running a relay race. There are 7 students on the team. The race is ½ of a mile long and each student runs the same distance. How far does each student run? Show your thinking with a drawing, a number line or tape diagram, and an equation. Enter your answer, work and/or explanation in the space provided.
The distance run by each of the seven students is 1/14 miles.
What does division mean?
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷.
What is the distance run by each student?In order to determine the distance run by each student, we would divided the total miles by the number of students.
Miles run by each student = 1/2÷ 7
1/2 x 1/7 = 1/14 miles
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Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?
The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards
How to calculate Chrissy's ribbon which are neither purple nor green?Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yardsRibbon which is neither purple nor green = Total - (purple + green)
= 3 - (3/8 + 1)
= 3 - (1 3/8)
= 3 - 11/8
= (24-11) / 8
= 13/8
= 1 5/8 yards.
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HELP WILL MARK BRAINLIST AND 5 STARS
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
Sarah fills her 13-gallon gas tank at Megamart for $45.50. Motoplex is selling gas for $3.56 per gallon. Which has a higher unit price for a gallon of gas?
Answer: Motoplex
Step-by-step explanation:
The question states that Sarah fills her tank with 13 gallons at Megamart for $45.50. What I did was, I divided $45.50 by 13 to see how much 1 gallon would cost $3.50. Motoplex sells gas for $3.56. As you can see, if you pay $45.50 you will be saving $0.06 on gas
Juwan and his friend Jamie are watching their favorite tech penny stocks in the stock market. The initial value of Jamie’s stock was $4.00, while Juwan’s stock’s initial value was $0.00. Because of some incredible turns in the market this morning, the stocks are now increasing in value. Every time Juwan’s stock rises by $4.00, Jamie’s stock increases by $3.00. If these stock gains remain constant throughout the day, perform the following:
a. Convert this scenario into two linear equations; show both the standard form and the slope-intercept form for both equations.
b. Explain how you decided to label the axes.
c. What are the realistic bounds for the domain and range of today’s stock gains? Explain your answer.
d. Does this scenario imply correlation or causation? Explain your answer.
Linear equations in slope intercept form for the given scenarios:
Juwan: y = 4x + 4
Jamie: y = 3x
Linear equations in standard form for the given scenarios:
Juwan: y - 4x = 4
Jamie: y - 3x = 0
Where, y = current stock value and x = number of times the stock value increased.
Domain: Set of natural number.
Range: Real number greater than or equal to 0.
This scenario is an example of causation.
What is standard form of line?The standard form of a line is Ax + By = C, where A and B are not both zero.
In the given scenario, we take
y = the present stock value of Jamie and Juwan.
x = number of times the stock value increased.
where, y depends upon x.
Juwan: y - 4x = 4
Jamie: y - 3x = 0
What is slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).
Juwan: y = 4x + 4
Slope = 4
y - intercept = 4
Jamie: y = 3x
Slope = 3
y - intercept = 0
What is domain and range?The domain is the set of all the input values of a function and range is the possible output given by the function.
In this particular question, x is the number of times stock price increased. Thus, it can be 0, 1, 2, 3....set of natural number. y is the current stock price. The stock price was positive in the beginning and has been increasing since then, therefore y lies in the set of positive real number.
What is causation?Causation means that one variable causes another to change, which means one variable is dependent on the other. Here, the price of stock depends upon the number of times its value increased.
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