Answer:
y = 39Step-by-step explanation:
y=mx+b
m = 5
x = 7
b = 4
Substitute the values into the above expression and simplify to solve for y
That's
y = 5(7) + 4
y = 35 + 4
We have the final answer as
y = 39
Hope this helps you
How to learn the ratio of standard angles of right angled triangle [ like sin 90=?, cos 30=?]....??
Answer:
just learn the sin value of all the degrees
the cos values are opposite to the sin values example sin 30 degree = cos 60 degrees. and sin 45 and cos 45 remains same . use the same logic for tan and cot and also for sec and cosec . tan values are sin degrees / cos degrees
What does the remainder theorem conclude given that f(x)x+5 has a remainder of 17? Enter your answer by filling in the boxes.
Answer:
f(-5)=17
Step-by-step explanation:
Took the quiz.
The remainder theorem is an easy way of calculating the remainder from polynomial division.
The conclusion of remainder theorem, here is that: [tex]f(-5) = 17[/tex]
We have:
[tex]\frac{f(x)}{x + 5}[/tex] and a remainder of 17
The general rule of the remainder theorem is that:
For [tex]\frac{f(x)}{x + a}[/tex] and a remainder of b
It means:
[tex]f(-a) = b[/tex]
By comparing
[tex]\frac{f(x)}{x + a}[/tex] and [tex]\frac{f(x)}{x + 5}[/tex]
It means:
[tex]a = 5[/tex] and [tex]b = 17[/tex]
So:
[tex]f(-a) = b[/tex] becomes
[tex]f(-5) = 17[/tex]
Hence, the conclusion is that:
[tex]f(-5) = 17[/tex]
Read more about remainder theorems at:
https://brainly.com/question/13416073
Can someone please help me .
Answer:
l=(P-2W)/2 (first answer choice lol)
Step-by-step explanation:
The lateral area of a right cylinder can be found by multiplying twice the number π by the radius times the height. If a right cylinder has radius r and height h, write an expression that represents the lateral area.
Answer:
AL=2πrhStep-by-step explanation:
The expression for the lateral area of a cylinder is given as
AL=2πrh
where r is the radius of the circular surface of the cylinder
and h represents the height of the cylinder
while the constant π has a value of 3.142
Now upon substitution we can solve for the lateral area and the unit for the lateral area is (units)^2 i,e cm^2, mm^2 or m^2 etc.
The density of a certain material is such that it weighs 6 pounds per pint of volume.
Express this density in grams per liter. Round your answer to the nearest whole
number
Answer:
Density = 5751.66 gram per litre
Step-by-step explanation:
It is given that the density of a certain material 6 pounds per pint.
The conversion from pint to liter is as follows :
1 pint = 0.473 litre
The conversion from pounds to kg is as follows :
1 pound = 453.59 kg
We need to express the density from pounds per pint to grams per liter.
1 pound per pint = 958.611 gram per litre
So,
6 pound per pint = 958.611 × 6 gram per litre
6 pound per pint = 5751.66 gram per litre
Answer:
The last step says the answer is 5751.66
What is the product of the coordinates of the midpoint of a line segment with endpoints at $(2,3)$ and $(-6,5)$?
please help me with 4-6 and please answer the questions
Answer:
4-6=-2
4.
rotational - no
reflectional - yes
angle - 90° (vertical)
5.
rotational - no
reflectional - yes
angle - 90° (vertical)
6.
rotational - omnidirectional
reflectional - yes
angle - 90° (vertical)
aswell as (horizontal)
help please brainliest
Answer:
34. E 2 1/2
36. C 6cm
Step-by-step explanation:
34. ABC's triangle has 4, as it is equivalent to ADE's triangle's 10. I added 4 and 6 because the whole triangle shown is ADE. Then I did 10/4.
36. The reasoning is that on the other side, there is 9cm and 6cm which is equivalent to AB and 4cm
It goes like: 9/6 = AB/4
9 times 4 equals 36, and 36 divided by 6 is 6. Therefore the answer is 6cm.
Answer:
which one should we solve and you are from my school now a secondary school it is Michael in jss3 daisy meet me tomorrow but which questions should I solve
Evaluate the following expressions if a = 2, b = 3, x = 4, and y = 5.
b^2+3(2x-y)
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------
Answer: 18~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression.
[tex]b^{2}+3(2x-y)[/tex] = [tex]3^{2} + 3 (2(4)-5)[/tex] .
Now we need to solve [tex]3^{2} + 3 (2(4)-5)[/tex].
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]3^{2} + 3 (2(4)-5)[/tex]
First, calculate 3 to the power of 2 and get 9.
[tex]9+3(2\times 4-5)=18[/tex]
Multiply 2 and 4 to get 8.
[tex]9+3(8-5) =18[/tex]
Subtract 5 from 8 to get 3.
[tex]9+3\times 3 =18[/tex]
Multiply 3 and 3 to get 9.
[tex]9+9 =18[/tex].
And the answer is, you guessed it, 18!Anyone? Know how to do this?
Answer:
x = 4length = 19 ftwidth = 11 ftStep-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
two years ago a woman was 7 times old as her daughter, but in 3 years time she would be 4 times old as the girl. how old are they now
Let present age of women be x.
Then,Present age of her daughter be y.
According to the question,
Two years ago,
Woman age = x - 2
Her daughter age = y - 2
Woman was 7 times old as her daughter. [ Given ]
x - 2 = 7 ( y - 2 )
=> x - 2 = 7y - 14
=> x - 2 + 14 = 7y
=> x + 12 = 7y ....( i )
After Three years ,
Woman age = x + 3
Her daughter age = y + 3
she would be 4 times old as the girl. [ Given ]
x + 3 = 4 ( y + 3 )
=> x + 3 = 4y + 12
=> x = 4y + 12 - 3
=> x = 4y + 9....( ii (
Now,
★ Putting the value of x = 4y + 9 from equation ( ii ) in equation ( i ),we get
x + 12 = 7y
=> 4y + 9 + 12 = 7y
=> 21 = 7y - 4y
=> 21 = 3y
=> 3y = 21
=> y = 21/3
=> y = 7
And,
x = 4y + 9
★ Putting the value of y in equation ( ii ), we get
x = 4 × 7 + 9
x = 28 + 9
x = 37
Hence, the present age of women is 37 years and her daughter age is 7.
2sec^20 - sec^40 - 2cosec^20 + cosec^40 = cot^40 - tan^40
'0' is theta .
Pls help me out with this
Answer:
From the RHS:
Cot^4θ-tan^4θ
=(cos^2θ/sin^2θ)*(cos^2θ/sin^2θ)-(sec^2-1)*(sec^2-1)
=(1-sin^2θ)/(sin^2(θ))*(1-sin^2θ)/(sin^2(θ))-(sec^4θ+2sec^2θ+1)
=(cosec^2θ-1)*(cosec^2θ-1)-sec^4θ+2sec^2θ-1
=cosec^4θ-2cosec^2θ+1-sec^4θ+2sec^2θ-1
=cosec^4θ-2cosec^2θ-sec^4θ+2sec^2θ
=LHS
Step-by-step explanation:
Answer: see proof below
Step-by-step explanation:
Use the following Pythagorean Identities:
sec²A = tan²A + 1
csc²A = 1 + cot²A
Use group factoring: a(x + y) + b(x + y) = (a + b)(x + y)
Proof LHS → RHS
Given: 2sec²Ф - sec⁴Ф - 2csc²Ф + csc⁴Ф
Pythagorean: 2(tan²Ф + 1) - (tan²Ф + 1)² + -2(1 + cot²Ф) + (1 + cot²Ф)²
Group Factoring: (tan²Ф + 1)(2 - tan²Ф - 1) + (1 + cot²Ф)(-2 + 1 + cot²Ф)
Simplified: (tan²Ф + 1)(1 - tan²Ф) + (1 + cot²Ф)(cot²Ф - 1)
Multiplied: tan²Ф - tan⁴Ф + 1 - tan²Ф + cot²Ф - 1 + cot⁴Ф - cot²Ф
Simplified: 1 - tan⁴Ф + cot⁴Ф - 1
= - tan⁴Ф + cot⁴Ф
= cot⁴Ф - tan⁴Ф
cot⁴Ф - tan⁴Ф = cot⁴Ф - tan⁴Ф [tex]\checkmark[/tex]
BRIANLIEST!!!BRAINLIEST!!!!BRAINLIEST!!!!BRAINLIEST!!!!
COULD SOMEONE PLEASE HELP ME OUT HERE???!!!8 POINTS!!!!
Answer:
For the first one it would be A. x = -3, 4 because they where f(x) and g(x) intersect.
Step-by-step explanation:
For the second one it would be B. Fuction 1 has the larger maximum at (4,1) because the maximum point for Fuction 1 is at (4,1) becuase that the highest point/vertex it goes.
Answer:
I believe it is A
Step-by-step explanation:
1.338, 1.729, 1.755, 1.153, 1.806, 1.993, 1.45, 1.152, 1.935, 1.095
Order from Least to Greatest
Can u list it?
Answer:
1.095, 1.152, 1.153, 1.338, 1.45, 1.729, 1.755, 1.806, 1.935, 1.993
Step-by-step explanation:
Did Leonardo de Vinci invent the scissors ?
Answer: Many people mistakenly give credit to Leonardo da Vinci for inventing scissors. Although da Vinci was brilliant, scissors were around for a long time before him. Some historians believe scissors were invented in the Middle East as long as 3,000-4,000 years ago.
Step-by-step explanation: Leonardo da Vinci
Scissors of the kind used today are believed to have been first made in 1 A.D in Rome. Some historians believe that Leonardo da Vinci is the inventor, for he had used it for cutting canvas. Although this view has not been widely accepted, Da Vinci helped to spread the popularity of scissors.
Hope this helps^^
Answer:
Apparently he isnt....
The sum of the angle measures of any triangle is 180 degrees. Angle #2 is twice the length of Angle #1 and Angle #3 is 15 degrees less than the Angle #2. What is the measure of each angle?
Answer: The measure of angle 1 is 39 degrees,the measure of angle 2 is 78 degrees and the measure of angle 3 is 63 degrees.
Step-by-step explanation:
We will represent the measure of angle 1 by x because it is unknown.
It says that the measure of angle 2 is twice angle 1 so we could represent that as 2x and the measure of angle 2 is 15 less than angle 3 and we could also represent that by 2x - 15.
Now we know they all add up to 180 so add them up and set them equal to 180 and solve for x.
x + 2x + 2x -15 = 180
5x - 15 = 180
+15 +15
5x = 195
x = 39
If x is equal to 39 then the measure of angle 1 is 39 degrees and the measure of angle 2 is twice that so 2(39) = 78 which also gives us the measure of angle 2 as 78.
For angle 3 it says that it has to be 15 less than the measure of angle so subtract 15 from 78 to find the measure of angle 3.
78 - 15 = 63 The measure angle 3 is 63 degrees. Now add the measures all together to see if they equal 180 degrees .
Check:
39 + 78 + 63 = 180
180 = 180
Luna makes $500 per 4 hours and Kelly makes $490 per 3 hours
Luna works 8 days and Kelly works 10 days
Who makes more money?
Answer:
Kelly earns more.
Step-by-step explanation:
Find how much Luna makes first.
24hx8days=192 hours
Then put the 192 hours into groups of 4.
192h/4h=48
Now, we take 48 x 500 to find how much Luna makes.
48x$500=$24000
Now, we have found how much Luna makes. Now, we find how much Kelly makes.
24hx10d=240h
Then put the 240 hours in groups of three.
240h/3h=80
Now, we take 80x$490
80x$490=$32900
(disclaimer: This method is what i use, i always come up with them takes me super long)
.0091 the neatest thousandths
Answer:
the answer is .009 rounded to the nearest thousandths
Identify as growth or decay, the initial value and the growth and decay factor, then find f(3)
growth
Step-by-step explanation:
3 (.25)= .75
multiply 3 into the .25 and it's a positive number so it's increasing
Please answer I will give you brainliest!!! Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5
Answer:
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)
Step-by-step explanation:
ratio of the angles 6:5
when you draw diagonal inside a rhombus it creates four right angled triangle
one angle=90
6x+5x=90 ( the other angles is complimentary)
11x=90
x=90/11
one angle : 6x=6(90/11)=540/11 (49.1 rounded to the nearest tenth)
other angle=5(90/11)=450/11 (41 degrees rounded to the nearest ones)
A triangle has sides length of (4.1p+4.4q) centimeter,(6.4p-5.1r)centimeters ,and (1.3r+6.3q)centimeters . Which expression represents the perimeter , in centimeter , of triangle ?
Answer:
The perimeter of the rectangle is 10.5p + 10.7q - 3.8r
Step-by-step explanation:
The perimeter of the triangle is calculated by adding the values of the three sides.
In this case, the values of the individual sides are expressed algebraically.
We can still add them, however, taking into consideration like terms.
Perimenter of triangle = (4.1p+4.4q) + (6.4p-5.1r) + (1.3r+6.3q)
Perimeter = 4.1p + 6.4p + 4.4q + 6.3q -5.1r + 1.3r
Now we have grouped them, we can add the different groups separately
Perimeter = 10.5p + 10.7q - 3.8r
Therefore, the perimeter of the rectangle is 10.5p + 10.7q - 3.8r
Find CD and EF. Then determine if CD is congruent to EF.
Answer:
A
Step-by-step explanation:
a. CD = [tex]\sqrt{13}[/tex], EF = [tex]\sqrt{13}[/tex], CD≅EF
How to find CD & EF ?
If [tex](x_{1}, y_{1})[/tex] & [tex](x_{2}, y_{2})[/tex] are co-ordinates of two points then the distance between this two points = [tex]\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2}- y_{1} )^{2} }[/tex]
Here, Point C = (0, 4) & Point D = (3, 2)
Then CD = [tex]\sqrt{(3-0)^{2} +(2-4)^{2} }[/tex] = [tex]\sqrt{3^{2} +(-2)^{2} }[/tex] = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]
And Point E = (-2, 1) & Point F = (-4, -2)
Then EF = [tex]\sqrt{((-4)-(-2))^{2}+ ((-2)-1)^{2} }[/tex]= [tex]\sqrt{(-2)^{2} +(-3)^{2} }[/tex]= [tex]\sqrt{4+9}[/tex]= [tex]\sqrt{13}[/tex]
Is CD & EF congruent ?We know that, if two line segment have same length, they are congruent.
Here CD = EF = [tex]\sqrt{13}[/tex]
Since CD & EF have same length, so CD is congruent to EF.
Learn more about congruence of two lines here :
https://brainly.com/question/15580358
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Please help me
Find x
Your question has been heard loud and clear.
This is a right triangle , which means it has a hypotenuse ( longest side of the triangle)
X is the length of the hypotenuse. We need to find x.
By Pythagoras theorem ,
Side^2+side^2= Hypotenuse^2
2.5^2+3^2= x^2
= 6.25+9=x^2
15.25=x^2
So , x = root of 15.25 = 3.9
Therefore , x= 3.9
Thank you
Answer:
[tex]\huge \boxed{\mathrm{3.91 \ m}}[/tex]
Step-by-step explanation:
The triangle is a right triangle.
The hypotenuse length of the right triangle is not given.
We can use Pythagorean theorem to solve for the hypotenuse.
[tex]c=\sqrt{a^2 +b^2 }[/tex]
c is the hypotenuse length of the right triangle.
a and b are the legs of the right triangle.
[tex]x=\sqrt{3^2 +2.5^2 }[/tex]
Evaluate and solve for x.
[tex]x=\sqrt{9+6.25}[/tex]
[tex]x=\sqrt{15.25}[/tex]
[tex]x= 3.905125...[/tex]
Translate the verbal phrase to algebra:
5 more than a number
Answer:
x+5
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{x+5}[/tex]
Step-by-step explanation:
Let the number be x.
5 more than x.
The verbal phrase to algebra:
x + 5
0.6( 10n + 25 ) = 10 + 5n
Answer:
n=−5
Step-by-step explanation:
0.6(10n+25)=10+5n
Step 1: Simplify both sides of the equation.
0.6(10n+25)=10+5n
(0.6)(10n)+(0.6)(25)=10+5n(Distribute)
6n+15=10+5n
6n+15=5n+10
Step 2: Subtract 5n from both sides.
6n+15−5n=5n+10−5n
n+15=10
Step 3: Subtract 15 from both sides.
n+15−15=10−15
n=−5
A life insurance company sells a $240,000 one year term life insurance policy to a 25-year old female for $225. The probability that the female survives the year is .999572. Find the expected value for the insurance company.
Answer:
$122.28
Step-by-step explanation:
Give the following :
Insurance worth = $240,000
Price sold = $225
P(survival) = 0.999572
P(death) = 1 - 0.999572 = 0.000428
If she survives, insurance firm makes $225
If she dies, insurance firm pays $240,000, hence the company losses :
$(225 - 240,000) = $−239775
Expected value (E(x)) = sum of P(i) * X(i)
E(x) = (P(survival) * profit made) + (P(death) * loss incurred)
E(x) = (225 * 0.999572) + (0.000428 * −239775)
= 224.9037 - 102.6237
=$ 122.28
Answer:
$773.3587
Step-by-step explanation:
The probability that the female survives = 0.999572
therefore, probability that female dies = 1-0.999572 = 0.000428
if the female survives the insurance company makes = $225
x=$250
If the female dies the insurance company pays $240,000.
So, the amount with the company = 240000-225 = $ 2390775
Therefore Expected value = 250(0.999572)-2390775(0.000428)= $773.3587
The radius of a sphere is 3 inches. Which represents the volume of the sphere? 12π cubic inches 36π cubic inches 64π cubic inches 81π cubic inches. Please hurry
Answer:
The answer is
36π cubic inchesStep-by-step explanation:
Volume of a sphere is given by
[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]
where r is the radius
From the question
r = 3 inches
So the volume of the sphere is
[tex]V = \frac{4}{3}( {3)}^{3} \pi[/tex]
[tex]V = \frac{4}{3} \times 27\pi[/tex]
[tex]V = 4 \times 9 \times \pi[/tex]
We have the final answer as
Volume = 36 π cubic inches
Hope this helps you
Answer:
36pi cubic inches.
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!!
There were 96 members in a club. The ratio of the number of female members to male members was 7:5. When 58 new members joined the club, the ratio became 5:6. How many of the new members were males?
Answer:
dihdvsjhvbsuhdsvubhjvdhbdsvhbdsvhbkvdshbds
Step-by-step explanation:
DJ CUCRACH AAE SLAHTI8AOS
Solve 5n + 6 = -3n - 10
Hi there! :)
Answer:
[tex]\huge\boxed{n = -2}[/tex]
5n + 6 = -3n - 10
Solve for n:
Add 3n to both sides:
5n + 3n + 6 = -3n + 3n - 10
8n + 6 = -10
Subtract 6 from both sides:
8n + 6 - 6 = -10 - 6
8n = -16
Divide both sides by 8:
8n/8 = -16/8
n = -2.
Answer:
n= -2
Step-by-step explanation:
you and a friend are playing a board game. Your final score x is 12 points less than your friends final score. write and solve an equation to find your final score.
your friend
round 9 | round 10.
22 | 12
| final score |
195
me: round 9 || round 10 ||
9 25
||final score ||
?
equation: 195 = ___
Your final score is __ points.
The equation formed using the given data is 195 = x + 12 and your final score is 183 points.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say your final score is x
Given that,
Your final score x is 12 points less than your friend's final score.
So,
x = friend final score - 12
Now,
Friend final score = 195
So,
x = 195 - 12
x + 12 = 195
195 = x + 12
Now,
x = 195 - 12 = 183
Hence "The equation formed using the given data is 195 = x + 12 and your final score is 183 points".
For more about the equation,
https://brainly.com/question/10413253
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