9514 1404 393
Answer:
(b) 28
Step-by-step explanation:
The total of the 3 numbers will be 3×15 = 45. Then the third number is ...
45 -7 -10 = 28
Under the translation (x,y) → (x + 1, y + 3), the point (1,8) will become what point?
Answer:
[tex](1,8) \to (2,11)[/tex]
Step-by-step explanation:
Given
[tex](x,y) \to (x + 1,y+3)[/tex]
Required
Translation of [tex](1,8)[/tex]
We have:
[tex](x,y) \to (x + 1,y+3)[/tex]
This gives:
[tex](1,8) \to (1 + 1,8+3)[/tex]
[tex](1,8) \to (2,11)[/tex]
The table of values represent a linear function. Write an equation in slope-intercept form that represents the function.
Let's take the first value of x and y.
When x = 4, y = -3. This also gives us point
(4, -3). We need another point to find the slope.
From the table I see the point (5, -4.5)
.
See it?
Let m = slope
m = (-4.5 -(-3))/(5-4)
m = (-4.5 + 3)/1
m = (-1.5)/1
m = -1.5
Now, use the slope m and one of the points to plug into the point-slope formula.
Here is the point-slope formula:
y - y_1 = m(x - x_1)
I will use the point (4, -3) and m.
y - (-3) = -1.5(x - 4)
y + 3 = -1.5x + 6
The slope-intercept form we want is
y = mx + b.
y = -1.5x + 3
-Continued answer to my last question
Answer:
It's the first graph.
Step-by-step explanation:
The data points resemble the data in the table more than the second.
A book is 14 centimeters wide. Convert this width to inches.
The width of the book is __.
(Round to two decimal places as needed.)
Answer:5.5
Step-by-step explanation:
The key is to divide by 2.54. It was not terminating so I rounded.
What is the area of a rectangle with a length of (x - 5) and width of (x + 8)?
Answer:
a = x² + 3x - 40
Step-by-step explanation:
a = l * w
a = (x - 5)(x + 8)
a = x(x + 8) - 5(x + 8)
a = (x² + 8x) + (- 5x - 40)
a = x² + 3x - 40
Answer:
Step-by-step explanation:
the product of nine, y and x not simplified.
Answer:
9yx
Step-by-step explanation:
product means multiply.
nine, y and x
9yx
The area of a circle equals to 5cm^2 Find the radius of the circle.
[tex]Area = pi * r^{2} \\5 = 3.142 * r^{2} \\r^{2} = 5 / 3.142\\r^{2} = 1.59\\r = \sqrt{1.59} \\r = 1.26cm[/tex]
HELPPP!
Use the mid-point rule with n = 2 to approximate the area of the region bounded by y equals the cube root of the quantity 16 minus x cubed y = x, and x = 0.
Please explain the answer
Answer:
The approximate area of the region using the midpoint rule with n = 2 is about 2.8418 square units.
Step-by-step explanation:
We want to use the midpoint rule with n = 2 to approximate the area of the region bounded by the graphs of:
[tex]\displaystyle y=\sqrt[3]{16-x^3}, y=x\text{ and } x=0[/tex]
This is shown in the graph below. Our area of interest is between the green, red, and blue lines.
First, find the intersection point of the two graphs:
[tex]\displaystyle x=\sqrt[3]{16-x^3}\Rightarrow x=2\Rightarrow (2, 2)[/tex]
Therefore, we will want to approximate from x = 0 to x = 2.
Note that the red graph (cubic root) is greater than the linear function for all x in the interval [0, 2].
Since the cubic function is greater than the linear function for all x in [0, 2], the area of the region will be the linear function subtracted from the cubic function. Hence:
[tex]\displaystyle \text{Area}=\int_{0}^2\sqrt[3]{16-x^3}-x\, dx[/tex]
We will let:
[tex]f(x)=\sqrt[3]{16-x^3}-x[/tex]
The midpoint rule is given by:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^nf\left(\frac{x_{i-1}+x_i}{2}\right)\Delta x[/tex]
Since the area is on the interval [0, 2] and n = 2, find the width:
[tex]\displaystyle \Delta x=\frac{2-0}{2}=1[/tex]
Hence, our x-coordinates are x₀ = 0, x₁ = 1, and x₂ = 2.
Therefore, by the midpoint rule:
[tex]\displaystyle \text{Area}\approx \sum_{i=1}^2f\left(\frac{x_{i-1}+x_i}{2}\right)(1)[/tex]
Substitute:
[tex]\displaystyle \text{Area}\approx (1)\left(f\left(\frac{0+1}{2}\right)+f\left(\frac{1+2}{2}\right)\right)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx\displaystyle f\left(0.5\right)+f(1.5)[/tex]
Evaluate:
[tex]\displaystyle \text{Area}\approx(\sqrt[3]{16-(.5)^3}-(.5))+(\sqrt[3]{16-(1.5)^3}-(1.5))}\approx 2.8418[/tex]
Hence, the approximate area of the region is about 2.8418 square units.
Notes:
The exact area is 2.80436... square units.
Answer:
2.8147
Step-by-step explanation:
See the attached writeup!
It's a windy explanation because really short explanations are impossible. If you're using a textbook, its explanation may be shorter, but probably unclear.
PLEASE HELP!! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the trigonometric ratios with their values based on the triangle shown in the diagram
this is the answer on edmentum
The matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CWhat is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The value of sin C will be
sin C = 3 / 5
The value of sin D will be
sin D = 4 / 5
The value of cos C will be
cos C = 4 / 5
The value of cos D will be
cos D = 3 / 5
The value of tan C will be
tan C = 3 / 4
The value of tan D will be
tan D = 4 / 3
The product of sin D and cos D will be
sin D × cos D = (4 / 5) × (3 / 5)
sin D × cos D = 12 / 25
The product of tan C and tan D will be
tan C × tan D = (3 / 4) × (4 / 3)
tan C × tan D = 1
The product of cos C and tan D will be
cos C × tan D = (4 / 5) × (4 / 3)
cos C × tan D = 16 / 15
Then the matching will be given below.
12/25 = sin D × cos D3/5 = sin D16/15 = cos C × tan D4/5 = sin CMore about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ5
help please?
it’s overdue
Answer:
The surface area is 76 square yards.
Step-by-step explanation:
A = 2(wl + hl + hw)
2 · (2 · 4 + 5 · 4 + 5 · 2)
76
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $2,450.00, what is the standard error of the mean
Answer:
the standard error is 153.125
Step-by-step explanation:
given that
The random sample is 256
The sample mean is $35,420
And, the standard deviation is $2,450
We need to find out the standard error
We know that
= standard deviation ÷ √random sample
= 2450 ÷ √256
= 2450 ÷ 16
= 153.125
Hence, the standard error is 153.125
Please help me with this question:(
Please helpppppppppppppppppppppppppppp
Answer:
N O T H I N G
Step-by-step explanation:
L O L
Please help with this question please!!:)
Answer:
w ≤ 35
Step-by-step explanation:
Find the sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160
Answer:3495250
Step-by-step explanation:
~geometric sequence
common ratio: r=4
formula: Sn=a1(1-r^n)/1-r
Sn=10(1-(4)^10)/1-4
=-10485750/-3
=3495250
The sum of the first 10 terms of the following series, to the nearest integer. 10, 40,160 would be 3495250.
What is the sum of terms of a geometric sequence?Let's suppose its initial term is a multiplication factor is r
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
The given geometric sequence is
10, 40,160
common ratio: r=4
a = 10
n=10
We know that
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
[tex]S_{10} = \dfrac{10(4^{10}-1)}{4-1}\\S_{10} = \dfrac{10\times 1048575}{3}\\S_{10} = \dfrac{10485750}{3}\\S_{10} = 3495250[/tex]
Learn more about sum of terms of geometric sequence here:
brainly.com/question/1607203
#SPJ2
centipede would beat frog any day also ez Q for u
Answer:
32
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)
20 years from now I will be 4 times as old as my present age what is my present age ?
Step-by-step explanation:
your present age = 20/4 =5
Answer:
Your present is age 5
your present age = 20/4 = 5
Solve, using linear combination.
3x – y = 4
2x + y = 6
Answer:
Point form: 2.2
Equation form: x=2, y=2
Answer:
3x-y+2x+y =4+6
5x. =10
x =2
y=6-4
y=2
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores. y = 6.5 x + 42.4
The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores. y = 7.2 x + 34.7
If a student does not study for either test, on which test should the student expect the higher score?
A) on the science test because the rate of change is greater
B) on the math test because the rate of change is greater
C) on the science test because the y-intercept is greater
D) on the math test because the y-intercept is greater
Answer: C: on the science test because the y-intercept is greater
Step-by-step explanation: I got the question right on edge.
Answer:
C
Step-by-step explanation:
Help please!!!!:))))))))))))))
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 40 minutes. The owner has randomly selected 21 customers and delivered pizzas to their homes. What hypotheses should the owner test to demonstrate that the pizza delivery will not be successful
Answer:
H0 : u ≤ 40 mins against Ha: u> 40 mins
Step-by-step explanation:
The hypotheses will be set as follows
H0 : u ≤ 40 mins against Ha: u> 40 mins
The null hypothesis is that the mean delivery time is less and equal to 40 minutes.
against the claim
that the mean delivery time is greater than 40 minutes.
40 minutes is taken because the success depends on the factor that if the delivery time is less and equal to 40 minutes then the home delivery service will be successful
But if it is greater than 40 minutes then the home delivery service will not be successful
Which equation represents a quadratic function?
A.f(x) = 2x - 4 B.f(x) = (x+3)(x - 2)
C.f(x) = 3(4)x-1. D. y = 2x
Answer:
it's answer is B
Step-by-step explanation:
f (x)=x (x-2)+3 (x-2)
=x2+x-6
Help me plsssssssssssss
9514 1404 393
Answer:
8.4
Step-by-step explanation:
The given segment relations tell you that the parallel lines are equally spaced. This means that ...
WV = 3×WY
WV = 3×2.8
WV = 8.4
Half of a substance will decay after 10 hours. If 150 g of a substance is present inititially, how much would be left after 3 days?
what is 4x+3y-x-4y? please help-
Answer:
3x-1y
Step-by-step explanation:
i think that Is that
Answer:
what is 4x+3y-x-4y?
Simplify the expression.
Final answer: 4x+3y-x-4y = 3x-y
Step-by-step explanation:
I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.
Have a great rest of your day/night!
Solve the equation for x. 2 and 2/5x + 2.8=10
HURRY
Answer:
Step-by-step explanation:
x=13
Sorry you asked me to jurry so i do not have time to explain
Frequency of y=sin0/3
Answer:
y=sin(°/3) means that y equals the sine of a given degree divided by 3.
What is the perimeter, in -inches, of the square shown below? A 8 B 16. C 32 D 64
Answer:
The perimeter, in inches, is 32.
Step-by-step explanation:
Since this shape is a square, we know that all sides are equal.
The information given to us is that one side of the square measures 8 inches.
8 + 8 + 8 + 8 = 32
Answer:
c 32
Step-by-step explanation:
Squares have 4 sides of the same length
8 * 4 = 32
Can I get help with 19 please
Answer:
10 tubes
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
15/1.5=10
given: <1 congruent to <2
prove: AB is congruent to CB
Answer:
Because 3 and 2 are vertical angles
Step-by-step explanation:
Vertical angles are always equal or congruent