Answer:
Provide readers with a feeling
Step-by-step explanation:
Sorry if i'm late.
What is the slope of the line represented by the equation y = x - 3?
Answer: A (-3) is correct
Explanation: Edge:2023
Mark and his three friends ate out at Applebee's. (Hint* 4 total people) Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly? (Round to the nearest dollar and cent)
Answer:
Unitary cost= $15.705
Step-by-step explanation:
Giving the following information:
Their bill totaled $52.35. They left the server a 20% tip.
First, we need to calculate the total cost of the meal:
Total cost= 52.35*1.2= $62.82
Now, we can split it into 4 equal parts:
Unitary cost= 62.82 / 4
Unitary cost= $15.705
PLS HELP!!!!! ASAP 7TH GRADE MATH
Ezra deposited $30 in a savings account earning 10% interest, compounded annually.
To the nearest cent, how much will he have in 2 years?
Answer:
$36.00
Step-by-step explanation:
10% of 30 is 6. Add that to the original amount
Let y=f(x) be the particular solution to the differential equation dy/dx=2x−1/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x)?
A. √(x^2−x+9)
B. −3/3x^2−3x−1
C. (3x^2−3x)^1/3+3
D. (3x^2−3x+27)^1/3
Answer:
D. (3x^2-3x+27)^1/3
Step-by-step explanation:
dy/dx=2x−1/y^2
Cross multiply to get Y's and X's on different sides.
(y^2)dy = (2x-1)dx
Take the integral of each side
∫(y^2)dy = ∫(2x-1)dx
y^3/3 = 2x^2/2 - x + C
Multiply both sides by 3
y^3 = 3x^2 - 3x + C
Plug in (0,3) and solve for C
27 = 0 - 0 + C
C = 27
Plug in C to the equation
y^3 = 3x^2-3x+27
Cube root both sides to get just y
y = √(3x^2-3x+27)
y = (3x^2-3x+27)^1/3
D.
The particular solution of the equation will be "[tex](3x^2-3x+27)^\frac{1}{3}[/tex]".
Differential equationAccording to the question,
→ [tex]\frac{dy}{dx}[/tex] = [tex]\frac{2x-1}{y^2}[/tex]
By applying cross-multiplication,
(y²)dy = (2x - 1)dx
By integrating both sides, we get
→ ∫(y²) dy = ∫(2x - 1) dx
[tex]\frac{y^3}{3}[/tex] = [tex]\frac{2x^2}{2}[/tex] - x + C
By multiplying "3" both sides, we get
y³ = 3x² - 3x + c
By substituting "(0,3)" in above equation,
27 = 0 - 0 + C
C = 27
By substituting value of C in the above equation,
y³ = 3x² - 3x + 27
By cubing both sides,
y = √(3x²-3x+27)
= [tex](3x^2-3x+27)^\frac{1}{3}[/tex]
Thus the above answer i.e., "Option D" is correct.
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Write an equation for each graph in a slope
Intercept form
Answer:
y=2x-3
Step-by-step explanation:
Y-intercept can be read off the graph.
Slope can be determined using the formula:
y2-y1 divided by x2-x1 (Substitute co-ordinates)
Answer:
y=2x-3
Step-by-step explanation:
y=mx+b
Where m is the slope and b is the y intercept
Slope is rise over run, the line is up 2 over 1
And the point of the line where it meets the y axis is -3. so b is -3
a train travels north at 103km/hr is it a axample of speed ,velocity ,acceleration or speed and acceleration
Answer:
get photomath
Step-by-step explanation:
this is number 19....
Answer:
b
Step-by-step explanation:
Given the formula l = prt, where l = interest earned, P is the principal invested and r is the interest rate. If $245 is the principle invested at an interest rate of 3%, and Paul earned 69.80 interest, how long, t, (in years) was the money invested for?
Answer:
t= 9.49 years which can be estimated to 9 years
Step-by-step explanation:
Given the formula l = prt,
Where P is the principal=$245
r is the interest rate.=3%,
l = interest earned=$69.80
l = prt
Therefore time, t= I/ pr
t= 69.80/ 245 x 3%
t=69.80/ 245 x 0.03
t= 9.49 years which can be estimated to 9 years
2. By definition, jumbo shrimp are those that require between 10 and 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1.5, and forms a normal distribution. What is the probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag?
Answer:
0.0475 = 4.75% probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Single bag:
[tex]\mu = 12.5, \sigma = 1.5[/tex]
Sample of 25 bags:
[tex]n = 25, s = \frac{1.5}{\sqrt{25}} = 0.3[/tex]
What is the probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag?
This is 1 subtracted by the pvalue of Z when X = 13. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{13 - 12.5}{0.3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a pvalue of 0.9525
1 - 0.9525 = 0.0475
0.0475 = 4.75% probability of randomly picking a sample of n =25, 1-pound bags that average more than M = 13 shrimp per bag.
A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make a green paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the same shade of green paint?
Answer:
The ratio of gallons of blue paint to gallons of yellow paint that make the same shade of green paint is 5/9
Step-by-step explanation:
The ratio represents how many units are of one kind compare with another kind.
In this case , we are comparing gallons of blue paint with gallons of yellow paint. To get the green color we use 5 gallons of blue paint with every 9 gallons of yellow paint To get the ratio we divide both amounts.
B. ( -3, 4) , ( 3, 4 ) , ( 1, -4 ) , ( -2, -4 )
D. ( -4, 1) , ( 1, 2 ) , ( -1, -4 ) , ( -3, -4 )
C. ( -2, 3) , ( -4, 3 ) , ( -1, 2 ) , ( -4, -2 )
A. ( -3, 4) , ( -4, 3 ) , ( -4, 1 ) , ( -2, -4 )
Answer:
B
Step-by-step explanation:
There isn't really much explaining I can do but each time you find the co-ordinate of a point you can cancel out a possibility.
For example, one of the points is (-3,4) and the only one without this point is C so that answer is cancelled out, and you keep going this way until you are left with only on possible answer and that should be B.
Top left = (-3,4)
Bottom left = (-2, -4)
Top right = (3,4)
Bottom right = (1,-4)
4. What effect does doubling the radius of a cylinder have on the area of the base of the cylinder?
a. The area of the base is doubled.
b. The area of the base is quadrupled.
C. The area of the base is halved.
d. The area of the base is multiplied by one-fourth.
Step-by-step explanation: I hope this helped?
Tracy ordered a set of beads. Of the beads she received, 156 were blue and 364 were a different color. What percentage of the beads were blue?
Answer:
24%
Step-by-step explanation:
(4m2−m+2)−(−3m2+10m+4) find the difference
Answer:
7m² - 11m - 2
Step-by-step explanation:
(4m² - m + 2) - (-3m² + 10m + 4)
= (4m² - (-3m²)) + (-m - 10m) + (2 - 4)
= (4m² + 3m²) + (-11m) + (-2)
= 7m² - 11m - 2
(+) meet (+) = (+)(+) meet (-) = (-)(-) meet (+) = (-)(-) meet (-) = (+)Please I need help on two problems 15 points anyone? Hellpppp I’m desperate
Answer:
to se es la cesa lopa nesma
A sundial that measures 38 inches across its center is shown on the concrete slab. In terms of π, what area of the slab is covered by the sundial?
Answer:
that answer is incorrect for usatestprep it is B for usatestprep
Step-by-step explanation:
Area covered by sundial is 4,534.16 inch²
Area of circle;Given that;
Length of radius = 38 inches
Find:
Area covered by sundial
Computation:
Area covered by sundial = πr²
Area covered by sundial = (3.14)(38)²
Area covered by sundial = (3.14)(1,444)
Area covered by sundial = 4,534.16 inch²
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The table represents an exponential function
What is the multiplicative rate of change of the function
Answer:
21
Step-by-step explain
becaus euaddd 21
A 15 m ladder is leaning against a wall. The foot of the ladder is 10 m from the wall. How far is the
ladder up the wall? (Round answer to 2 decimal places)
Answer:
13.52 is the answer of the question
Select all of the true equations.
sin(27)=x/15
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
tan(63)=y/x
Answer:
cos(63)=y/15
tan(27)=y/x
sin(63)=x/15
Step-by-step explanation:
You need to memorize the definitions of all the trig functions. Then these types of problems will be easy for you. OK?
Can you please show work. I will give brainliest.
Answer:
B
Step-by-step explanation:
area of a rectangle is l times width
24x30=720
top triangles are is 49.5
middle triangle is 67.5
bottom triangle is 150
add everything up
Answer:
B.) 978 square inches
Step-by-step explanation:
Area formula for a square: lw
L=30
W=24
30·24=720
Area formula for a triangle: BH1/2
1st & 2nd Triangles
B=9
H=12
(9)(12)(1/2)=54
(9)(12)(1/2)=54
3rd Triangle: (15)(20)(1/2)=150
Add all the areas of the shapes: 54+54+720+150=978
Hope this helps! :)
Correct me if I'm wrong
Hamburgers are sold in packages of 20, while buns are sold in packages of 12. What are the least numbers of packages you should buy in order to have the same number of hamburgers and buns?
Answer:
3 packages of hamburger and 5 packages of bun.
Step-by-step explanation:
3x20=60
5x12=60
find the height of the cone
12cm 6cm
h=
Answer:
the root is
[tex] \sqrt[2]{10.3923048} = 3.22370979[/tex]
even tho I'm not sure
Step-by-step explanation:
h^2=135 h=√135
so the answer is 135
Last year, Frank earned $7.48 per hour. This year the company decided to give him a 30% increase in his hourly rate. How much is Frank earning per hour this year? A. $7.78 O B. $9.72 O c. $10.48 D. $22.44 E $24.93
Answer:
B 9.72
Step-by-step explanation:
If we imagine 7.48 is 100% Then we can use multiply and divide to find 30%. It goes like this. x/7.48 = 30/100. Where x is the unknown. Take 30 times 7.48 which is 224.4 then divide by 100 we get 2.24 dollars. Added to 7.48 we get 9.72
10
10
Identify the equation of the graph shown.
y = 2x - 3
B)
y = 2x + 6
C)
y = 0.5x + 6
D)
y = 0.5x - 3
Answer:
The answer is C hopefully this helps
Step-by-step explanation:
HELP!!!
A punch recipe requires 2 cups of cranberry juice to make 3 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 1 gallon of punch?
Answer: 3/4 cup
Step-by-step explanation: yeah
HELP ME PLEASE FOR THE SAKE OF GOD :)
How many times does 20 go to 140
Answer:
7
Step-by-step explanation:
20 x 7 = 140
Pls helpppppp anyoneeee
Answer:
16
Step-by-step explanation:
I need to solve for x this is really easy I just don't have the time to do it please help.
Answer:
2x+76°=180°[by co interior angle]
2x=180°-76°
2x=104°
x=104°/2
x=52