Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
VA Tech offers four applied majors and monitors the number of students in each.
There were 36 students in applied majors. How many more of them were in electronics than in architecture?
Type only the numeric answer.
Answer:
3Step-by-step explanation:
Number of students in electronics, 1/4 of the total
36*1/4 = 9Number of students in architecture, 1/6 of the total
36*1/6 = 6The difference is
9 - 6 = 3An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 18 inches, and the length of the base is
17
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
Answer:56.8 inches
Step-by-step explanation:
For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.
the triangle is cut directly in half so both halves of the base are 17/2
17/2 = 8.5
solve through pythagoren theorum
altitude^2 + (half of base)^2 = (diagonal length)^2
18^2 + (8.5)^2 = (diagonal length)^2
324 + 72.25 = (diagonal length)^2
396.3 = (diagonal length)^2
[tex]\sqrt{396.3}[/tex] = diagonal length
diagonal length = 19.9
diagonal length + diagonal length + base = perimeter
19.9 + 19.9 + 17 = perimeter
56.8 inches = perimeter
How do I find the length of K?
Answer:
i) 3.7 cm
ii) 3.0 cm
Step-by-step explanation:
When you are given side lengths and angle measures, trig functions will generally be involved in solving the triangle. The mnemonic SOH CAH TOA is intended to remind you of the trig relations pertaining to a right triangle.
__
i)The sides adjacent to the angle and opposite the angle are given. The relevant relation is ...
Tan = Opposite/Adjacent
tan(63°) = k/(1.9 cm)
k = (1.9 cm)tan(63°) ≈ 3.7 cm
The length k is about 3.7 cm.
__
ii)Again, the tangent function can be used to solve this triangle.
tan(42°) = (2.7 cm)/p
p = (2.7 cm)/tan(42°) ≈ 3.0 cm
The length p is about 3.0 cm.
4/9,-4/3, 4 what comes next?
Answer:
-12
Step-by-step explanation:
because 4 will be multiplied by-3 since 4/9 was multiplied by-3 to get -4/3 and -4/3 was multiplied by-3 to get 4
Find the volume of a cone with a raduia of 13 and a height of 32
the volume is 5663.24436
Iready - What is the coefficient in the following expression?
5а^2 – 7
The coefficient is 5.
Solution:The coefficient is defined as the number before a variable (a variable is a letter).In this case, the variable is a.The number before a is 5.Therefore, 5 is the coefficient.Hope it helps.
Do comment if you have any query.
For each item, find the product of the complex number and its complex conjugate. Show your work.
(a) 10-14i
(b)-5-12i
(c) 8+3i
(d) - 9-5i
Answer:
114
Step-by-step explanation:
Here is the first one.....you should be able to do the others
(10-14i)(10+ 14i) expand
100 + 140i - 140i - 14i^2
100 - 14i^2 remember i = sqrt (-1) so i^2 = -1
100 - (14 *-1)
114
Solve the equation. -2=6/7p
HURRY!
Answer:
[tex]\boxed{\sf{p=-\dfrac{3}{7}=-0.42 }}[/tex]Step-by-step explanation:
Isolate the term of p from one side of the equation.
-2=6/7pFirst, multiply by 7p from both sides.
-2*7p=6/7p*7p
Solve.
-14p=6
Then, you divide by -14 from both sides,
-14p/-14=6/-14
Solve.
p=-3/7
Dividing is another option.
-3/7=-0.42
Therefore, the correct answer is p=-3/7=-0.42.I hope this helps you! Let me know if my answer is wrong or not.
help 8 th grade math
Answer:
6 is A
Step-by-step explanation:
-5 x -4 = 20
-5 x 7x = -35x
Express as single logarithm.
1/2 log (x) - 2 log (2y) + 3 log (z)
Answer:
[tex]\log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
Step-by-step explanation:
[tex]\dfrac12\log(x)-2\log(2y)+2\log(z)[/tex]
[tex]\textsf{Apply log power rule}: \quad n \log(x)=log(x)^n[/tex]
[tex]\implies \log(x)^{\frac12}-\log(2y)^2+\log(z)^2[/tex]
[tex]\textsf{Apply exponent rule}: \quad(ab)^c=a^cb^c[/tex]
[tex]\implies \log(\sqrt{x})-\log(4y^2)+\log(z^2)[/tex]
[tex]\textsf{Apply log quotient rule}: \quad \log(x)-\log(y)=log(\frac{x}{y})[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}}{4y^2}\right)+\log(z^2)[/tex]
[tex]\textsf{Apply log product rule}: \quad \log(x)+\log(y)=log(xy)[/tex]
[tex]\implies \log\left(\dfrac{\sqrt{x}\:z^2}{4y^2}\right)[/tex]
Select the correct answer.
Consider the given function. Which graph represents the given function?
Answer:
Given:
f(x) = 5 when x < -2f(x) = 3 when -2 ≤ x < 0f(x) = 0 when 0 ≤ x < 2f(x) = -3 when x ≥ 2< or > = open circle
≤ or ≥ = closed circle
So we are looking for:
open circle at (-2, 5) with a line to the leftclosed circle at (-2, 3) with a line segment to an open circle at (0, 3)closed circle at (0, 0) with a line segment to an open circle at (2, 0)closed circle at (2, -3) with a line to the rightTherefore, the attached is the correct answer.
I also need help with these! It would mean a lot.
For what values of "x" is the inequality 3(x+2)-x<8 true?
x > 1
x < 1
x < 7
x > 7
We can't determine right off the bat what values of x make this inequality true, so we should solve it first.
First, use the distributive property and distribute 3 :
3(x+2)-x<8
3x+6-x<8
Now subtract 6 on both sides :
3x-x<8-6
3x-x<2
now , subtract the x's :
2x<2
Divide by 2 on both sides :
x<1
So the values of x less than 1 make this inequality true.Let's try -1 (-1 is less than 1)
Plug it in ↓
3(-1+2)-(-1)<8
3(1)+1<8
3+1<8
4<8
4 is less than 8.
Therefore, the values of x that make this inequality true are indeed less than 1.hope helpful ~
Answer:
x < 1
Step-by-step explanation:
Expand the brackets: 3 * x = 3x and 3 * 2 = 6
Current inequality: 3x + 6 - x < 8
Collect like x terms: 3x - x = 2x
Current inequality: 2x + 6 < 8
Collect like integer terms: subract 6 from both sides
Current inequality: 2x < 2
Convert 2x to x: divide both sides by 2
Final answer = x < 1
Hope this helps :)
Helppp plssssss!!!!!!
Answer:
47°
Step-by-step explanation:
All trianges have a angle total of 180°.
Assuming the triangles are equals:
72+61+x=180
x=47
Use the distributive property to simplify 3(4x+8).
a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24
Answer:
d) 12x + 24.
Step-by-step explanation:
3(4x+8)
= 3*4x + 3*8
= 12x + 24.
The Distributive Property states the following:-
[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]
So we distribute a by multiplying it times b & c.
Now, let's simplify the given expression:-
[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]
Hence, Option D) is correct!
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
A student is working on a project for which he records the revolutions per minute (rpm) for a small electric motor as he increases the voltage in a circuit. Here is the table showing the results:
Voltage
(volt) Motor Speed
(rpm)
0 0
1 25
2 50
3 75
4 100
Create a graph showing the relationship in the table. Think about the title, axis labels, and whether you need to connect the points with a line.
Answer:
See below ↓
Step-by-step explanation:
The relation is :
Let y = Motor Speed and x = Voltagey = 25xTitle : Variation of Motor Speed with Applied Voltage
x-axis label : Voltage (volt)
y-axis label : Motor speed (rpm)
As it constantly varies with a value of x and they are not isolated data points, they should be connected with a line.
Here are the first four terms of a sequence: 3, 12, 48 and 192.
(a) Work out the common ratio for this sequence.
(b) Work out the nth term of this sequence.
Answer:
look below
Step-by-step explanation:
The common ratio is 1:4 because we are multiplying the previous number by 4
The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1
I hope this helped!
It would be greatly appreciated if you marked this answer as brainliest!
Answer:
see explanation
Step-by-step explanation:
the sequence is geometric and has common ratio r
(a)
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4
(b)
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 3 and r = 4 , then
[tex]a_{n}[/tex] = 3 . [tex]4^{n-1}[/tex]
find the x !
please hurry! Thank you!
Step-by-step explanation:
2x+98=180° (angles in straight line )
2x=180-98
x=2/2
x=1
Answer:
x = 41
Step-by-step explanation:
the 2 angles are adjacent and sum to 180° , that is
2x + 98 = 180 ( subtract 98 from both sides )
2x = 82 ( divide both sides by 2 )
x = 41
Find the equation of the line.
Use exact numbers PLEASEEE
y = ___ x+ ___
Step-by-step explanation:
[tex]y = \frac{3}{4} x - 2[/tex]
is the required equation
I hope it helped you
Answer:
y = [tex]\frac{3}{4} x-2[/tex]
Step-by-step explanation:
y = mx + c
m = gradient= [tex]\frac{-5-(-2)}{-4-0}[/tex]= [tex]\frac{3}{4}[/tex]
c = y-intercept = -2
Alexa was out at a restaurant for dinner when the bill came. Her dinner came to $14. After adding in a tip, before tax, she paid $17.78. Find the percent tip.
The amount of the tip was computed first, and it was then used to find then percentage of the tip that was given at the restaurant
Computation on PercentageGiven Data
Cost of dinner = $14Total Cost with tip = $17.78Let us find the amount of the tip
= 17.78 -14
= $3.78
Let us find the percentage tip
= 3.78/14 * 100
= 0.27 * 100
= %27
Learn more about percentages here:
https://brainly.com/question/24304697
On March 8, 2003, the world's largest taco was made in the city of Mexicali, Baja. The taco contained approximately 1 kg of onion for every 6.6 kg of grilled steak. The total weight of these two ingredients was 617.6 kg. To the nearest tenth of a kg, how many kg of onions and grilled beef were used to make the taco?
A. Onions: 62.3 kg; Beef: 555.3 kg
B. Onions: 81.3 kg; Beef: 536.3 kg
C.Onions: 34.6 kg; Beef: 583 kg
D. Onions 101.9 kg; Beef: 515.7 kg
Answer:
B. Onions: 81.3 kg; Beef: 536.3 kg
Step-by-step explanation:
6.6x = 6.6*81.26 = 536.32 kg (amount of grilled steak in the taco)
i think thats right
Answer: A. i think it is
Step-by-step explanation:
I don't know how to answer this, please help!
in a sale, the price of a computer is reduced by 20%. At this reduced price the shopkeeper still makes a profit of 20%. What would have been his percentage profit if the computer had been sold at full price?
Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.
What would the profit have been at full price?First assume a price the computer was sold at. We'll go with $100.
At this price, the shopkeeper still made a profit of 20% which means that the cost price was;
= 100 / (1 + 20%)
= $83.33
Based on the discounted price of $100, the full price was:
= 100 / (1 - 20%)
= $125
The profit the shopkeeper would have made is:
= (Full price - Cost price) / Cost price x 100%
= (125 - 83.33) / 83.33 x 100%
= 50%
#SPJ1
Find out more on percentage discounts at https://brainly.com/question/1453984.
A cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm, what was its radius (in mm) before deformation
The radius of the copper specimen before deformation was 8 mm of a cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm
Given information:
Ductility (%el) of cold-worked copper = 25%Cold-worked radius = 10 mmTo find the radius of the copper specimen before deformation, we'll use the formula for calculating the ductility:
Ductility (%el) = ((Final radius - Initial radius) / Initial radius) * 100
Let's denote the initial radius as "r" (in mm). The final radius is 10 mm (after cold-working).
25% = ((10 - r) / r) * 100
Now, solve for "r":
25% = (10 - r) / r
Convert percentage into fraction:
25/100 = (10 - r) / r
Convert fraction into decimal:
0.25 = 10 - r/r
on Cross-multiplication gives:
0.25r = 10 - r
Add r on both sides gives,
1.25r = 10
On dividing by 1.25 gives:
r = 8 mm
So, the radius of the copper specimen before deformation was 9.75 mm.
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#SPJ4
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
Mode: 7
Range: 6
Step-by-step explanation:
Think of the M and O in "mode" as "most often." The mode is the number that appears more than any other.
Range is the difference (subtraction) between the smallest number and largest number in the data. So we have 3, 5, 5, 7, 7, 7, 7, 7, 8, 8, and 9. We take the largest number, 9, and subtract the smallest number, 3, from it.
9-3 = 6
In the future, if you come across "median," that means to put all of the numbers in order from least to greatest and whatever number is in the middle will be the median. Think of the median of a road, which is at the center. The median in this data set would be 7. If you have two different numbers in the center, find the number between those two. For example: if the two median numbers were 7 and 8, the median would be 7.5.
The mean is the sum of all of the numbers, divided by two. So for this data set, you would do 3+5+5+7+7+7+7+7+8+8+9. Then, you would take the total and divide it by 2.
73 / 2 = 36.5
The relationship between women's whole
number shoe sizes and foot length forms an
arithmetic sequence, where is the foot
length in inches that corresponds to a shoe
size of n. A women's size 3 lits a foot 8 inches
long and women's size 7 lits a fool
9
inches long
What is the common difference of the arithmetic
sequence?
Using arithmetic sequence concepts, it is found that the common difference is of 0.25.
What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, we have that:
[tex]a_3 = 8, a_7 = 9[/tex]
Hence:
[tex]a_7 = a_3 + (7 - 3)d[/tex]
9 = 8 + 4d
4d = 1.
d = 0.25.
The common difference is of 0.25.
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8. A cube container, with original volume 64 in. 3, is being redesigned to increase
its capacity. The expression x + 64 in. ? models the volume of the new cube.
If the volume can increase by a maximum of 100 in. 3, what is the maximum
measurement of the edge of the larger cube, rounded to the nearest tenth?
The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches
How to determine the maximum edge of the larger cube?The volume of the container is given as:
V = 64 cubic inches
When it increases by a maximum of 100 cubic inches, the new volume becomes
V = 164 cubic inches
The volume of a cube container is calculated using:
V = l³
Where l represents the edge length of the cube
Substitute 164 for V
l³ = 164
Take the cube root of both sides
l = 5.5
Hence, the maximum measurement of the edge of the larger cube is 5.5 inches
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What is the surface area of a square pyramid with a base with a width 6 and a triangular height of 8?
Answer:
A≈138.53
Step-by-step explanation:
A=a^2+2a √a^2/4+h2
olive oil is $7.98 for 36 ounces. What is its unit rate? Round your answer to the nearest cent
Answer:
22 cents
Step-by-step explanation:
Rounding the number $0.2217 to the nearest cent, we get $0.22.
help me pls (2x+3) (x+5)
Answer: C
Step-by-step explanation:
[tex]\left(2x+3\right)\left(x+5\right)[/tex]
[tex]\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]=2xx+2x\cdot \:5+3x+3\cdot \:5[/tex]
[tex]$$Simplify[/tex]
[tex]=2x^2+13x+15[/tex]