[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]
-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.
You invest $4,300 in an account that pays you an interest rate of 8.5%, compounded continuously. Calculate the balance of your account after 10 years. Round your answer to the nearest hundredth.
Answer:
The amount is $8358.7 and the interest is $3858.7.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
Step-by-step explanation:
13^5/13^x=13^4
Does anyone know how to solve this?
[tex]\frac{13^5}{13^x} =13^4 =>13^{5-x} =13^4\\ =>5-x=4=> x=5-4=1[/tex]
ANSWER: x = 1
ok done. Thank to me :>
help!!!!!!!!! I need help
Answer:
x = 60 cm
Step-by-step explanation:
If we assume the figures are similar, then corresponding sides are proportional.
x/36 = 35/21
x = 36(35/21) = 60 . . . . cm
_____
You can consider the ratios of side lengths. Shortest to longest, they are ...
7 : 9 : 12 = 21 : 27 : 36 = 35 : 45 : 60
The smaller figure is 3 times the basic ratio; the larger figure is 5 times the basic ratio.
Not drawn
to scale
(x - 2)cm
D
The diagram shows two joined rectangles.
The total area of the compound shape
ABCDEF is 36 cm
2x cm
c
By considering the areas of the two rectangles,
show that 2x2 - 5x - 18 = 0 and hence find B
the value of length AB.
x cm
A
+
(x - 4)cm
Note: Please make sure your final line only shows your final answer written as AB = ...
First find the areas of the two separate rectangles where:
Area of rectangle = length x width
Area of the small rectangle = x(x–4)
Area of small rectangle = [tex]x^{2} -4x[/tex]
Area of big rectangle = (x–2)(2x+x)
Area of big rectangle = (x–2)(3x)
Area of big rectangle = [tex]3x^{2} -6x[/tex]
The total area of the compound shape is 36, therefore:
[tex]3x^{2} -6x +x^{2} -4x=36[/tex]
[tex]4x^{2} -10x-36=0[/tex] (collecting like-terms and by bringing the +36 to the other side)
By dividing this by 2, you get:
[tex]2(2x^{2} -5x-18)=0[/tex]
[tex]2x^{2} -5x-18=0[/tex]
To find the length of AB (x), solve the quadratic by either factorising, completing the square or by using the quadratic formula, etc to solve for x.
[tex]2x^{2} -5x-18=0[/tex]
[tex](2x-9)(x+2)=0[/tex]
[tex]x=\frac{9}{2}[/tex]
[tex]x=-2[/tex]
However, a length cannot be negative, so x must be [tex]\frac{9}{2}[/tex] or 4.5cm, so length AB = 4.5cm.
Hope this helps :)
The fraction Three-tenths is the difference of Eight-tenths and which fraction?
Answer:
[tex]\frac{11}{10}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] - [tex]\frac{x}{10}[/tex] = [tex]\frac{3}{10}[/tex]
so [tex]\frac{8}{10}[/tex] +[tex]\frac{3}{10}[/tex] =[tex]\frac{x}{10}[/tex]
since all the denominators are the same we simply add the numerators to find x
x would be 8 +3 = 11
so [tex]\frac{11}{10}[/tex] is the answer
i NEED help pleaseee
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
Algebra 2
What is the sum If x≠0?
Answer:
14x^4sqrt10
Step-by-step explanation:
Out of the two possible answers showing in the picture it seemed as is it was the only valid answer
..................................
Answer: 35 dots
Step-by-step explanation:
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared 1 EndFraction = StartFraction n 3 Over 4 EndFraction.
The equation has one extraneous solution which is n ≈ 2.38450287.
Given that,
The equation;
[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]
We have to find,
How many extraneous solutions does the equation?
According to the question,
An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.
To solve the equation cross multiplication process is applied following all the steps given below.
[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y
with 0 and solve for x. The graph of the equation is attached.
n ≈ 2.38450287
Hence, The equation has one extraneous solution which is n ≈ 2.38450287
For more information refer to the link.
https://brainly.com/question/15070282
Algebra Find the values of x and y.
Step-by-step explanation:
hope this help you::::::::::)
Tiana’s dinner bill is $25. She tips her server 15%. How much does Tiana tip the server?
Answer:
3.75$
Step-by-step explanation:
The part is the unknown.
Set up a proportion with the known values and solve for the part.
Using whole = $25, percent = 15%, part = ? dollars
part whole=percent 100→?25=15100
Multiply the numerator and denominator of a fraction by the
same number to determine an equivalent fraction.
StartFraction question mark Over 25 EndFraction = StartFraction 15 Over 100 EndFraction. Arrows going from question mark to 15 and from 25 to 100 are labeled times 4. ?×425×4==15100
Solve for the part.
?=15÷4=334=3.75
pls help mwah I also give brainlest <3
Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?
Answer:
50 dollars.
Step-by-step explanation:
19 x 25= 475
1,425 - 475= 950
950 divided by 19 is 50.
How do you do this? Someone please answer quick
Answer:
b=a^2-6
Step-by-step explanation:
Answer:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
Step-by-step explanation:
square both sides, you will get
[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]
What is the equation y=2x reflected across the y axis
Answer:
[tex]y = -2\, x[/tex].
Step-by-step explanation:
Find two points on the original line, [tex]y = 2\, x[/tex]:
Setting [tex]x = 0[/tex] gives [tex]y = 0[/tex], which corresponds to the point [tex](0,\, 0)[/tex].
Setting [tex]x = 1[/tex] gives [tex]y = 2[/tex], which corresponds to the point [tex](1,\, 2)[/tex].
Reflect the two points with respect to the [tex]y[/tex]-axis by inverting the [tex]x[/tex]-coordinate of each point. The point [tex](0,\, 0)[/tex] stays the same, whereas the point [tex](1,\, 2)[/tex] would be mapped to [tex](-1,\, 2)[/tex].
Find the equation of the new line. The slope of the new line would be:
[tex]\begin{aligned}\frac{2 - 0}{(-1) - 0} = \frac{2}{(-1)} = -2\end{aligned}[/tex].
Equation of the new line in point-slope form:
[tex]y - 0 = (-2)\, (x - 0)[/tex].
[tex]y = -2\, x[/tex].
What is the greatest common factor of 14, 30, and 40?
Answer:
1x14 1x30 1x40
Step-by-step explanation:
Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?
Answer:
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
Answer
30x-10
Step by Step Work:
5x(6)-10
Because 5 x 6= 30, it becomes
30x-10
Since 30x and 10 have different terms, you can not simplify any further.
So you get your answer, which is 30x-10.
for brainlist !!!!!!
Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
Your parents put in fencing around the walkway for safety. If 110 feet of fencing is used, what are the dimensions of the pool? Show your work.
Answer: =20 feet
= 35 feet
Explanation :
let width = a
length = a+15
Now,
2(2w+15)=110
2w=55-15
w=40/2
w=20
Diana is baking bread the original recipe calls for 1 1/2 teaspoons of yeast
Your Question is incomplete..
Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?
Answer:
3 3/4
Step-by-step explanation:
To figure out how many cups of flour Diana will use, you can set up a proportion.
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Floor required for 3/2 teaspoons of yeast = 5/2
Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer:
(The question is not complete so I will complete it)
Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?
A) 1 7/8
B) 3 1/2
C) 3 1/2
D) 3 3/4
E) 4
Step-by-step explanation:
The correct answer is D
To figure out how many cups of pour diana will use, you can set up a proportion
1 1/2 = 3/2
2 1/2 = 5/2
2 1/4 = 9/4
Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4
= 5/2 * 2/3 * 9/4
= 15/4 = 3 3/4
Answer: D) 3 3/4
Help with geometry question
Answer:
see explanation
Step-by-step explanation:
On each median the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, or
the distance from the centroid to the midpoint is one third of the median
23
LF = 2 × HL = 2 × 30 = 60
HF = HL + LF = 30 + 60 = 90
24
KL = [tex]\frac{1}{3}[/tex] KE = [tex]\frac{1}{3}[/tex] × 15 = 5
LE = 2 × KL = 2 × 5 = 10
25
LJ = [tex]\frac{1}{2}[/tex] DL = [tex]\frac{1}{2}[/tex] × 24 = 12
DJ = DL + LJ = 24 + 12 = 36
You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
For more information on computers, laptops and mobile devices visit
https://brainly.com/question/4487618?referrer=searchResults
Will mark brainliest
Answer:
E ( 1 , -1 ) is in quadrant IV
If the x axis is positive and the y is zero what’s quadrant or axis is it in?
0.9 ÷ 13 = ____
0.0707÷ 70=____
32.27 ÷ 55=_____
18.2 ÷ 51=_____
So I am about to ask three math points so whoever comments on this first and answers my next question will get 100 point :)
Answer:
lets get started
Step-by-step explanation:
A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?
Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]
The equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]
To find the value of [tex]\theta[/tex], we have that:
[tex]3\tan{\theta} = \sqrt{3}[/tex]
[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]
[tex]\theta = \frac{\pi}{6}[/tex]
Then, for the slope:
[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]
[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]
Considering [tex]\theta = \frac{\pi}{6}[/tex]:
[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]
[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]
[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]
Then, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]
[tex]y = x - \sqrt{3}[/tex]
The y-intercept is the value of y when x = 0, hence:
[tex]y = \sqrt{3}[/tex]
A similar problem is given at https://brainly.com/question/22426360
A bag contains pennies, nickels, nickels, and nickels. There are 50 coins in total. Of the coins, 14% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
answer:
8 pennies,16 dimes,13 nickels,13 quarters
Step-by-step explanation:
total number of coins = 50
16% are pennies
16% of 50
16/100 x 50=(16x50)/100=800/100=8
Pennies = 8
32% are dimes
32% of 50
32/100 x 50=(32x50)/100=1600/100=16
Dimes = 16
5 more nickels than pennies
Pennies = 8
nickels = 8 + 5 = 13
nickels = 13
8+16+13=37
50 - 37 = 13
13 quarters
pennies = 8, dimes = 16, nickels = 13, quarters = 13
You deposit $50 in your saving account and then add $20 per month. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
(7*10 to the power of 5)*(3*10 to the power of 2)
Step-by-step explanation:
do you mean
7×10⁵ × 3×10²
as you can see, these are all multiplications. and we can do in a first step the multiplications that combine the factors with the same exponent base or simple constants :
7×3 × 10⁵×10² = 21 × 10⁷
in what format do you need the result ?
21 × 10⁷
2.1 × 10⁸ (standard format)
210,000,000
