Answer:
42 teaspoons of vinegar should be used
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
4 teaspoons of vegetable oil and 12 teaspoons of vinegar. 14 teaspoons of vegetable oil were used
So
4 teaspoons of vegetable oil - 12 teaspoons of vinegar
14 teaspoons of vegetable oil - x teaspoons of vinegar
So
[tex]4x = 12*14[/tex]
Dividing both sides by 4:
[tex]x = 3*14 = 42[/tex]
42 teaspoons of vinegar should be used
6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.
Answer:
[tex]A = 137.3cm^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
The area of the semicircle
First, we calculate the hypotenuse (h) of the triangle
Considering only the triangle, we have:
[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula
Make h the subject
[tex]h = \frac{7}{\cos(68)}[/tex]
[tex]h = \frac{7}{0.3746}[/tex]
[tex]h = 18.7[/tex]
The area of the semicircle is then calculated as:
[tex]A = \frac{\pi h^2}{8}[/tex]
This gives:
[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]
[tex]A = \frac{1098.03}{8}[/tex]
[tex]A = 137.3cm^2[/tex]
\left(a+b\right)^2 hihihihihiihihihihihih
Consider, we need to find the expanded form of the given expression.
Given:
The expression is:
[tex]\left(a+b\right)^2[/tex]
To find:
The expanded form of the given expression.
Solution:
We have,
[tex]\left(a+b\right)^2[/tex]
It can be written as:
[tex]\left(a+b\right)^2=(a+b)(a+b)[/tex]
Using distributive property of multiplication over addition, we get
[tex]\left(a+b\right)^2=a(a+b)+b(a+b)[/tex]
[tex]\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)[/tex]
[tex]\left(a+b\right)^2=a^2+ab+ab+b^2[/tex]
[tex]\left(a+b\right)^2=a^2+2ab+b^2[/tex]
Therefore, the expanded form of the given expression is [tex]a^2+2ab+b^2[/tex].
from first principle , find the derivative of y = x³ + 3x² - 5x
Answer:
y' = 3x² + 6x - 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
y = x³ + 3x² - 5x
Step 2: Differentiate
Basic Power Rule: y' = 3x³⁻¹ + 2 · 3x²⁻¹ - 1 · 5x¹⁻¹Simplify: y' = 3x² + 6x - 5Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
Graph the image of Kite BCDE after a translation 5 units down.
Answer:
Move each point, one by one, 5 units down
so, D(-7,10) becomes [tex]D^{1}[/tex](-7,5). Y value was decreased by 5
You decide to increase your Utah county coronavirus sample to 10 counties and estimate the same sample standard deviation you did with your sample of 5 counties. This will ______________ the margin of error associated with your 90% confidence interval.
Answer:
This will decrease the margin of error associated with your 90% confidence interval.
Step-by-step explanation:
Margin of error:
The margin of error of a confidence interval is given by a formula that follows the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s is related to the standard deviation and n is related to the size of sample.
From the formula:
M and n are inversely proportional, which means that if the sample size is increased, the margin of error decreases.
In this question:
Sample size increases from 5 to 10, so the margin of error decreases.
Helpppp plsss I’m trying to get my grade up
This converts to the improper fraction 7/4
======================================================
Work Shown:
3/4 = 0.75
area of triangle on the left = base*height/2 = 0.75*2/2 = 0.75 sq ft
area of triangle on the right = base*height/2 = 1*2/2 = 1 sq ft
total area = 0.75+1 = 1.75 sq ft
This converts to the improper fraction 7/4 because
1.75 = 1 + 0.75
1.75 = 1 + 3/4
1.75 = 4/4 + 3/4
1.75 = (4+3)/4
1.75 = 7/4
How many times bigger is a group of 20 coins than a group of 5 coins
Answer:
It is there difference:
20-5
15
graph the
function f(x)=10(2)x
Answer:
G.o.o.g.l.e
Step-by-step explanation:
If you search up 'f(x)=10(2)x' on g.o.o.g.l.e it will draw the graph for you.
If this helps you, please give brainliest!
what is the unit rate of $4 and 8 pounds
Answer:
32
Step-by-step explanation:
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
Answer:
ok so
8.5*150000
1275000 cm into kilometers is
12.75 kilometers
Hope This Helps!!!
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.
============================================
Work Shown:
LM/PQ = MN/QR
13/56 = 10/x
13*x = 56*10
13x = 560
x = 560/13
x = 43.0769 approximately
x = 43.1
Segment QR is roughly 43.1 units long.
Answer:
QR = 43.1
Step-by-step explanation:
since they are similar use these ratios
NM/QR = LM/PQ
10/QR = 13/56
do cross multiplication
QR*13 = 56*10
QR = 560/13
QR = 43.07
QR = 43.1
therefore the measure of side QR is 43.1.
Choose the equation of the line that is parallel to the x-axis.
x = 4
x + y = 0
x = y
y = 4
Find the sine of ZF.
H
2/2
3/3
F
Write your answer in simplified, rationalized form. Do not round.
sin (F) =
Answer:
1/9 √57
Step-by-step explanation:
the length of HG = √(3√3² - 2√2²)
= √(27-8) = √19
sin L F = HG/GF = √19/ 3√3
= 1/9 √57
Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?
Answer:
50
Step-by-step explanation:
guys i need this an answers full please
Answer:
See below.
Step-by-step explanation:
14.
12.5/2.5 = 5
15.
(i) [(-75)/15]/5 = -5/5 = -1
(ii) 13 / [(-2) + 1] = 13 / (-1) = -13
16.
(i) 39 + (-24) - 15 = 0
36 + (-52) - (-36) = 20
Answer: <
(ii) (-10) - 4 = -14
(-10) - (-4) = -10 + 4 = -6
Answer: <
17.
He reads 1/4 book in 1 hour.
He reads 1 book in 4 hours.
In 2 1/6 hours he reads:
(2 1/6)/4 part of the book = (13/6) / 4 = 13/24 part of the book
(i) 2/5 / 1 1/2 = 2/5 / 3/2 = 2/5 * 2/3 = 4/15
(ii) 7/3 / 2 = 7/3 * 1/2 = 7/6
Answer:
14. 5
15. (i) -1 (ii) -13
16. (i) < (ii) <
17. 24/13
Step-by-step explanation:
Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mile driven. How much would a taxi ride cost if Noah is riding for 4 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$10.50
Step-by-step explanation:
We can make an equation
2.50+2x=?
x=4 because we are riding 4 miles.
so it's 2.5+2*4=?
let's solve
2.5+8=$10.50
The Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m
Given:
Pick up charge = $2.50
Charge per mile = $2
Number of miles = 4
Cost of the taxi ride for 4 miles = Pick up charge + (Charge per mile + Number of miles)
= 2.50 + (2 × 4)
= 2.50 + 8
= $10.50
Charge for m miles = Pick up charge + (Charge per mile + Number of miles)
= 2.50 + (2 × m)
= 2.50 + 2m
Therefore, Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m
Read more:
https://brainly.com/question/8957185
Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.)
a. between 5 and 10 min
b. less than 5 min
c. more than 10 min
Answer:
a) 0.5447
b) 0.0228
c) 0.4325
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normal distribution with a mean of 9.6 minutes and a standard deviation of 2.3 minutes.
This means that [tex]\mu = 9.6, \sigma = 2.3[/tex]
a. between 5 and 10 min
This is the p-value of Z when X = 10 subtracted by the p-value of Z when X = 5. So
X = 10
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 9.6}{2.3}[/tex]
[tex]Z = 0.17[/tex]
[tex]Z = 0.17[/tex] has a p-value of 0.5675
X = 5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5 - 9.6}{2.3}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.5675 - 0.0228 = 0.5447 probability that a randomly received emergency call is between 5 and 10 minutes.
b. less than 5 min
p-value of Z when X = 5, which from item a), is 0.0228, so 0.0228 probability that a randomly received emergency call is of less than 5 minutes.
c. more than 10 min
1 subtracted by the p-value of Z when X = 10, which, from item a), is of 0.5675.
1 - 0.5675 = 0.4325
0.4325 probability that a randomly received emergency call is of more than 10 minutes.
khalil has a circular cake that he plans to share equally betweeb himself and 5 friends. if tge cake is 8 inched in a diameter, what will be the length of the arc of each slice of cake.
Answer:
4.2
Step-by-step explanation:
The length of the arc of each slice of cake will be 4.18 inches if Khali shares the cake between him and 5 friends equally.
What is the circumference of a circle?
The circumference is the length of the outer boundary of the circle. It can be calculated as under:
Circumference=2πr
How to find length of arc?
We have been given that the diameter of the cake is 8 inches So, the radius becomes 4 inches. We have to calculate the circumference of the cake. so the circumference becomes:
Circumference=2π(4)=8π
=8*22/7
=25.1
Then we have to divide it into 6 people so it will be 25.1/6=4.18 inches.
Hence the length of the arc will be 4.8 inches.
Learn more about circumference at https://brainly.com/question/20489969
#SPJ2
Cho mặt bậc hai
z=\sqrt(x^(2)+y^(2))
. Đây là mặt gì?
Answer:
ñkxkdbdidvdv
Step-by-step explanation:
hsu3jdjfiebdic ic8 e
A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)
Answer:
[tex]\approx 0.59\text{ ft by }0.91\text{ ft}[/tex]
Step-by-step explanation:
Let [tex]\ell[/tex] represent the length of the rectangle. The width can be represented as [tex]0.64\ell[/tex].
The perimeter of a rectangle with lengths [tex]l[/tex] and [tex]w[/tex] is given by [tex]p=2l+2w[/tex].
Thus, we have:
[tex]2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91[/tex]
The width is then [tex]0.64(0.91463414634)=0.58536585365\approx 0.59[/tex].
the solution set for -2x[tex]-2x^{2}+12x=0[/tex]
A, B, and C are collinear points:
B is between A and C.
If AB = 3x + 4, BC = 4x - 1, and AC = 6x + 5,
find AC.
9514 1404 393
Answer:
AC = 17
Step-by-step explanation:
The segment sum theorem tells you ...
AB +BC = AC
Substituting the given expressions, we have ...
(3x +4) +(4x -1) = (6x +5)
x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides
AC = 6x +5 = 6(2) +5
AC = 17
_____
AB = 10, BC = 7
find the slope from the graph. Leave the answer as a reduced fraction. *
I attached a picture below: I will give brainliest
Answer:
Slope = -2
Step-by-step explanation:
Point 1 (-1, 2)
Point 2 (1, -2)
Formula to find slope = y2 - y1 / x2 - x1
Slope = 2-(-2) / -1-1
Slope = 4 / -2
Slope = -2
Evaluate 9(4x – 15) if x = 3.
Answer:
-27
Step-by-step explanation:
9(4x – 15)
Substitute 3 for x
9((4)(3) - 15)
Multiply (4)(3) = 12
9 ( 12 - 15 )
Subtract 12 - 15 = -3
9(-3)
Multiply 9(-3) = -27
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {-27}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: 9 \: (4x - 15)[/tex]
Plugging in the value [tex]x = 3[/tex] in the above expression, we have
➼ [tex] \: 9 \: (4 \times 3 - 15)[/tex]
➼ [tex] \: 9 \: (12 - 15)[/tex]
➼ [tex] \: 9 \: ( - 3)[/tex]
➼ [tex] \: - 27[/tex]
Note:-[tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
Find the output, y, when the input, x, is -1
Answer:
No solution is possible from the information provided
Step-by-step explanation:
PLEASE HELP
A salesperson works 40 hours per week at a job where has two options for being paid. Option A is an hourly wage of $25. Option B is a commission rate of 5% on weekly sales. How much does need to sell this week to earn the same amount with the two options?
he needs to sell$___this week
Answer:
He must sell 20,000 to make the same amount
Step-by-step explanation:
Option A
25 h where hourly rate time number of hours ( 40 hours)
25 * 40 = 1000
Option B =
.05 * s where s is the amount of sales and 5% commission
We want them to be equal
1000 = .05s
Divide each side by .05
1000/.05 = .05s/.05
20000 = s
He must sell 20,000 to make the same amount
the sum of 1+2-3-4+5+6-7-8+9+10-...+1378
Answer:
1389
Step-by-step explanation:
hope this helps?
reflectiion across y=x
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.
(x, y) ⇒ (-y, -x)
A = [5 2 -4 2 5 -4 4 4 -5]Is A diagonalizable? Why or why not? a. A is diagonalizable because if you just chop off the upper and lower triangles of the matrix, you're left with just the diagonal, so it just got diagonalized. Bayum! b. A is not diagonalizable because it is not a diagonal matrix c. A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ.d. A is diagonalizable because it is a square matrix.e. A is not diagonalizable because αA(λ) ≠ γA(λ) for all eigenvalues of λ.f. A is not diagonalizable because it does not have 3 distinct eigenvalues
Answer:
A is diagonalizable because αA(λ) = γA(λ) for all eigenvalues of λ. ( C )
Step-by-step explanation:
The matrix
[tex]A = \left[\begin{array}{ccc}5&2&-4\\2&5&-4\\4&4&-5\end{array}\right][/tex]
This is a 3 x 3 matrix
Attached below is the prove that A is diagonalizable
Find the percent of decrease from 46 songs to 41 songs. Round to the nearest tenth of a percent if necessary.
percent of decrease
%
Answer:
10.9 %
Step-by-step explanation:
46 - 41 = 5
5/46 * 100% = 10.8695652174%
Rounded
10.9 %