Answer:
-39
Step-by-step explanation:
||u|| = sqrt(5² + (-12)²)
= sqrt(25 + 144)
= sqrt(169)
= 13
||cu|| = c ||u||
c = -3
c ||u|| = -3 × 13 = -39
Answer:
-39
Step-by-step explanation:
The magnitude of a vector is given by
|| u|| = sqrt( x^2 + y^2)
= sqrt( 5^2 + (-12)^2)
= sqrt(25+144)
= sqrt(169)
= 13
We are then multiplying by a scalar
||cu|| = -3*13 = -39
Find the volume of the cone below. Round your answer to the nearest tenth if necessary. Use 3.14 for π. * PLS show work
Answer:
-The volume of the cone is 100.5[tex]in^3[/tex] .
Step-by-step explanation:
To find the volume of cone, you need the formula:
[tex]V =\frac{1}{3} \pi r^2 h[/tex]
-Use the radius and the height for the formula:
[tex]V =\frac{1}{3} \pi 4^2 6[/tex]
-Then, you solve:
[tex]V =\frac{1}{3} \pi 4^2 6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]4^2[/tex] × [tex]6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]16[/tex] × [tex]6[/tex]
[tex]V = \frac{1}{3}\pi[/tex] × [tex]96[/tex]
[tex]V = \frac{96}{3} \pi[/tex]
[tex]V = 32\pi \approx 100.53[/tex]
-Round to the nearest tenth:
[tex]V \approx 100.5[/tex]
So, therefore, the volume of the cone is 100.5[tex]in^3[/tex] .
Identify the equation of the line with the given slope and Y intercept,
Answer:
y = 6x - 7
Step-by-step explanation:
We can use the equation y = mx + b as a guide to help us solve this problem
The variables are given in the problem, so we just need to replace them with their respective variables, which give us:
y = 6x - 7
Answer:
The third one down is the correct answer.
Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
Part 2***
Explain why or why not.
Answer:
No
Step-by-step explanation:
Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.
No. Jan is not correct. So, all parallelograms are not rhombuses.
What is a rhombus?A rhombus is a parallelogram because the opposite sides are parallel but every parallelogram is not a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.
here, we have,
We need to identify the properties of the given figure in order to answer why one figure can not be the other one:
A rhombus has all sides equal as well as parallel but all angles might not be right angles.
A square has all four sides equal and has 4 right angles.
A rectangle has equal opposite sides and 4 right angles.
A parallelogram has opposite parallel sides.
Hence, a rhombus can be a parallelogram because the opposite sides are parallel but every parallelogram can not be a rhombus because all sides may not be equal. Every square is a rectangle because opposite sides are equal but not every rectangle is a square because all sides might not be equal. Every square is rhombus because all sides are equal but not every rhombus is a square because the angles might not be right angles.
A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.
Not all parallelograms are rhombuses, some parallelograms include rectangles, squares, hexagons, etc.
To know more about rhombus here
brainly.com/question/12665650
#SPJ3
express x in term of y:x/7+2y=6
Answer:
see explanation
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] + 2y = 6
Multiply through by 7 to clear the fraction
x + 14y = 42 ( subtract 14y from both sides )
x = 42 - 14y
Solve for h.
0.8h − 11.49 = 5.67 + 12.9 − 15.9h
So the right answer is 1.8
Look at the attached picture
Hope it will help you
Good luck on your assignment
cube of the number -13/15
Answer:
[tex]-\frac{2197}{3375}\\\mathrm{Decimal:\quad }\:-0.65096[/tex]
Step-by-step explanation:
[tex]-\left(\frac{13}{15}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{13}{15}\right)^3=\frac{13^3}{15^3}\\=-\frac{13^3}{15^3}\\13^3=2197\\=-\frac{2197}{15^3}\\15^3=3375\\=-\frac{2197}{3375}[/tex]
Answer:
[tex] = \frac{ - 2197}{3375} [/tex]
Step-by-step explanation:
[tex]cube = {x}^{3} \\ (\frac{ - 13}{15}) ^{3} \\ \frac{ - 13}{15} \times \frac{ - 13}{15} \times \frac{ - 13}{15} \\ \\ = \frac{ - 2197}{3375} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Timmy uses 1 1/2 cups of sugar for every 2 gallons of lemonade he makes. How many cups of sugar would Timmy use if he makes 13 gallons of lemonade?
cups of sugar
Answer:
he would have to use 19.5 cups of sugar.
Step-by-step explanation:
is this the right answer for number 12?
Answer:
figure it out urself
Step-by-step explanation:
HURRY PLS I NEED IT
What is the purpose of apportionment? (its ideal, value, or vision)
Answer:
An apportionment is the allocation of a loss between all of the insurance companies that insure a piece of property. This allocation is used to determine a percentage of liability for each insurer.
I'm new here! Sorry if this didn't help
Sean is in the science lab. He needs to divide 33 grams of salt into tiny vials that hold just gram each. He has one box that contains 48 empty vials. How many more vials does Sean need to divide all of the salt?
Answer:
-15
Step-by-step explanation:
Since each vial contains one gram. and he has 33 grams, so he has 33 vials of one gram each. since he has a box that has 48 vials. he needs 15 less vials to divide the salt into vials that contain one gram each
Please mark as brainliest
Find the value of the variable to the nearest tenth.
Answer:
Applying Pythagorean theorem:
r = sqrt(3^2 + (14/2)^2) = sqrt(9 + 49) = sqrt(58) = ~7.6 cm
Hope this helps!
:)
please help me i really need help
Answer:
7t +5
Step-by-step explanation:
6t +7 -2 +t
Combine like terms
6t+t +7-2
7t +5
Answer:
Relax. The answer is 7t +5
Step-by-step explanation:
Circle the 2 variables (T)
Next re-write the equation and put the varbiles equation 6t+t.
Then you have 7-2 left, you then put it next to the new equation but make sure when you do that it looks like this 6t+t+7-2.
Last you solve and your answer should be 7t+5.
Note: If a variable is alone like the t then make sure you put a one next to it
HELLP PLEASE!!!!!!?!?!?!???! Find the missing length of the triangle.
Answer:
11 2/3 yd.
Step-by-step explanation:
\sqrt{\left(12\frac{1}{3}^{2}-4^{2}\right)} = 35/3
35/3=11 2/3
Answer:
11.666
round up to 11.7
Step-by-step explanation:
(hypotenuse)^2 -(leg b)^2
√(12.333)^2-(4)^2
√(152.11-16)
√(136.11)
Sharia surveyed students and teachers to determine how long it takes each person, in minutes, to get ready for school in the morning. The plots below show the results of the survey. Which statements accurately compare the two data sets? Select three options
Answer:
B),D),E)
Step-by-step explanation:
Trust
Answer:
B,D,E
Step-by-step explanation:
I got it correct on the quiz
What is the height of a pyramid (with a square base) whose side length is 12 cm and its slant
height is 10 cm?
a.) 22 cm
b.) 8 cm
c.) 2 cm
d.) None of these
We have been given that side length of pyramid the square base is 12 cm and its slant height is 10 cm. We are asked to find the height of the pyramid.
We will use slant height of a pyramid formula to solve our given problem.
[tex]s=\sqrt{h^2+\frac{1}{4}a^2}[/tex],where,
s = Slant height,
h = Height,
a = Each side of square base.
Upon substituting our given values in above formula, we will get:
[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 12^2}[/tex]
[tex]10=\sqrt{h^2+\frac{1}{4}\cdot 144}[/tex]
[tex]10=\sqrt{h^2+36}[/tex]
Switch sides:
[tex]\sqrt{h^2+36}=10[/tex]
Let us square both sides:
[tex](\sqrt{h^2+36})^2=10^2[/tex]
[tex]h^2+36=100[/tex]
[tex]h^2+36-36=100-36[/tex]
[tex]h^2=64[/tex]
Now we will take positive square root of both sides.
[tex]\sqrt{h^2}=\sqrt{64}[/tex]
[tex]h=8[/tex]
Therefore, the height of the pyramid is 8 cm and option 'b' is the correct choice.
PLZ HELP URGENT GEOMETRY QUESTION
Answer:
Step-by-step explanation:
TRUE angles are linear pairs
what is a hypotenuse
Answer:
is the longest side in a triangle
Step-by-step explanation:
is the longest side in a triangle
Answer:
It is the longest side of a right triangle.
Step-by-step explanation:
A right triangle has two legs, then the (i call it a slope) hypotenuse connects the two from the top of one of leg to the end of the bottom leg.
you can calculate the hypotenuse via the Pythagorean theorem. which is A^2+B^2=C^2
Or: Leg 1^2+ Leg 2^2= Hypotenuse^2
HElP asap GIVING BRAINLIST HELP!!!!
Answer:
1. x = 0
2. x= 0
3. x = 10
4. x = -4
5. x = 0
6. x = -1
Rosanne is training for the Austin marathon, so she plans to run 10 miles in her neighborhood this weekend. It usually takes her an hour to run 6 miles. If she generally drinks 0.5 cups of water every 1 3 of an hour, how many cups of water will she drink on her run?
Answer:2.5 cups
Step-by-step explanation:
Given
Rosanne runs 6 miles in an hour
If she drinks 0.5 cups of water every [tex]\frac{1}{3}[/tex] of an hour
So in 1 hour Rosanne drinks 1.5 cups
So, for 6 miles Rosanne drinks 1.5 cups
i.e. For [tex]1\ mile \quad \equiv \quad \frac{1}{4}\ \text{cup}[/tex]
for [tex]10\ mile\quad \equiv \quad \frac{10}{4}\ \text{cup}[/tex]
[tex]=2.5\ \text{cup}[/tex]
Answer:
2.5
Step-by-step explanation:
help me i dont understand
Answer:
4/8 +6/8 I just verfying the other person's. ok
Step-by-step explanation:
I did it on a calculator ;b
PLEASE MARK FallOutChild brainliest!!
Answer:
4/8 + 6/8 = 10/8 or 1 2/8, 1 1/4
Step-by-step explanation:
When it asks for like units, it's asking for the same denominator value. You can not add fractions together when they do not have a common denominator
if you multiply the denominator and numerator in 2/4 by 2, you get 4/8
Result of 4/8 + 6/8 gives you an improper fraction of 10/8
Hope this Helps!
will mark BRAINLIEST for correct answer!
I have six equilateral triangles, each with a perimeter of 12cm. I fit them together to make a regular hexagon. What is the hexagon’s perimeter?
Answer:
24 cm
Step-by-step explanation:
Perimeter of equilateral triangle = 12 cm
Therefore, measure of one side of equilateral triangle = 12/3 = 4 cm
Perimeter of hexagon = 6 * measure of one side of equilateral triangle
= 6 * 4 = 24 cm
please help ASAP :( ! which of the following is most likely to be the next step in the series?
HELP HELP HELP Help me ASAP.. Giving branliest
Step-by-step explanation:
hope this is correct and it helps
What is the factored form of 8x2 + 12x?
Answer:
Step-by-step explanation:
8x^2 + 12x
(x+4)^2
Answer:
4x( 2x + 3)Step-by-step explanation:
8x2 + 12x = (4x) × (2x) + (4x) × (3) ; we factor 4x out.
= 4x( 2x + 3)
a chord of a circle 8 cm long subtends an angle of 120 degree at the center find the radius of the circle
Answer:
Chord = 2 • sine (Central Angle) • radius
radius = 8 cm / 2 * 0.86603
radius = 4.6187776405 cm
Step-by-step explanation:
A company rents water tanks shaped like cylinders. Each tank has a diameter of 8 feet and a height of 3 feet. The cost is $5 per cubic foot. How much does it cost to rent one water tank?
Answer:
$754.05
Step-by-step explanation:
We have to find the volume of one tank and multiply it by the cost of renting the tank per cubic foot.
The volume of a cylinder is:
[tex]V = \pi r^2h[/tex]
where r = radius
h = height
Each tank has a diameter of 8 feet (radius = 4 feet) and a height of 3 feet.
The volume of the tank is therefore:
[tex]V = \pi * 4^2 * 3 = 150.81 ft^3[/tex]
The cost of renting is $5 per cubic foot.
Therefore, the cost of renting a tank is:
150.81 * 5 = $754.05
It costs $754.05 to rent a tank.
Find the slope
Tysm!!! I need help asap
Answer:
2/3
Step-by-step explanation:
start at the first point and count up and then over. it is 2 squares UP, and 3 squares OVER. remember rise over run, rise (2) on top and run (3) on bottom!
Answer:
M = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
The two coordinate points given are (2,2) and (-1,0).
We can use the slope formula to find the slope.
[tex]Slope(m)=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{0-2}{-1-2}[/tex]
[tex]m=\frac{-2}{-3} or \frac{2}3}[/tex]
I need to know these answers fast please please help!!!!
Answer:
Step-by-step explanation:
y intercept please scroll down--i need to see the rest of the graph-- y intercept is where the graph intersects with the y axis
x intercepts are x=2 and x=6
greatest value of y is y=2 and it occurs when x=4
for x between... what are the options?
if the options are greater than, equal to, or less than, the answer is greater than
In a study of cell phone usage and brain hemispheric dominance, an Internet survey was e-mailed to 6965 subjects randomly selected from an online group involved with ears. There were 1330 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than 20%. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. Upper H 0: pequals0.2 Upper H 1: pless than0.2 B. Upper H 0: pgreater than0.2 Upper H 1: pequals0.2 C. Upper H 0: pequals0.2 Upper H 1: pnot equals0.2 D. Upper H 0: pnot equals0.2 Upper H 1: pequals0.2 E. Upper H 0: pless than0.2 Upper H 1: pequals0.2 F. Upper H 0: pequals0.2 Upper H 1: pgreater than0.2 The test statistic is zequals nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) Because the P-value is
Answer:
Given:
Sample size, n = 6965
Sample proportion p' = [tex] \frac{1330}{6965} = 0.19 [/tex]
Let's claim that the return rate is less than 20%, ie, P = 0.2
Significance level = 0.01
The null and alternative hypotheses:
H0 : P = 0.2
H1 : P < 0.2
Option A is correct
_____________________________
For the test statistic, Z, let's use the formula:
[tex] Z = \frac{p'- P}{\sqrt{\frac{P(1-P)}{n}}} [/tex]
[tex] = \frac{0.19 - 0.2}{\sqrt{\frac{0.2(1 - 0.2)}{6965}}} = -1.887 [/tex]
Z = -1.887 ≈ -1.89
___________________________
The p-value.
This is a left tailed test.
Using z table,
P-value = P(Z ≤ -1.89) = 0.029
The pvalue is 0.029
Decision:
Because the pvalue, 0.029 is greater than level of significance, 0.01, we fail to reject null hypothesis, H0.
Conclusion:
There is not enough sufficient evidence to conclude that the return rate is less than 20%
Given that f(x)=5x+9 and g(x)=9-x^2
calculate
f(g(0))
g(f(0))