Answer:
(a) 1,028,160
(b) 8,568
Step-by-step explanation:
(a)
[tex]18 \times 17 \times 16 \times 15 \times 14 = 1028160[/tex]
(b) 18! / (5! 13!) =
[tex] \frac{18 \times 17 \times 16 \times 15 \times 14}{5 \times 4 \times 3 \times 2 \times 1} = 8568[/tex]
What are the vertex and x-intercepts of the graph of the function given below?
y=x²-2x-48
O A. Vertex: (-1, -21); intercepts: x = 6,4
B. Vertex: (1, -40); intercepts: x = 6,7
C. Vertex: (1,-49); intercepts: x = 8,-6
D. Vertex: (0, 0); intercepts: x= -4, 6
SUBMIT
Answer:
C. Vertex: (1,-49); intercepts: x = 8,-6Step-by-step explanation:
x²-2x-48 = (x²-2x +1) - 1 - 48
= (x - 1)² - 49
Then
The vertex is (1 , - 49)
==================
x²-2x-48 = 0
⇔ (x - 1)² - 49 = 0
⇔ (x - 1)² = 49
⇔ x - 1 = 7 or x - 1 = -7
⇔ x = 8 or x = -6
Then
intercepts: x = 8,-6
A bag contains 3 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
Answer:
[tex]\frac{3}{13}[/tex]
Step-by-step explanation:
First you need to find how many marbles there are in total, so 3+8+2= 13
The probability of the marble being red is [tex]\frac{3}{13}[/tex] then
Hope this helps! :)
PLEASE HELP ME 60 QUESTIONS ARE DUE TODAY!!!!!!!!!!!!!!!!!!!! PLS HELP WILL GIVE BRAINlIEST!!!!!
Answer:
x=3/2
Decimal Form:
x=1.5
Mixed Number Form:
x=1-1/2
Step-by-step explanation:
find the sum or difference [-3 0 5 -7 + -4 2 -1 8] 30 points please help me.
Answer:
-372
Step-by-step explanation:
-305 -7 + (-42) -18
-312 + (-42) -18
-312 - 42 - 18
-354 - 18
-372
Can someone help me with this? I need it before Monday. I will give brainlist!! If the picture is too blurry here is the problem:
Michelle makes jewelry boxes containing drawers of equal size. The numbers of drawers in three ditterent ewelry boxes and the corresponding total volumes of the drawers are shown in the table below. JEWELRY BOXES Number of Drawers Total Volume (cubic inches) 2 5 3 7.5 4 +6 10 Write an equation for the relationship between the number of drawers in the jewelry box, d, and the total volume of the drawers in the jewelry box, V. Use your equation to determine the number of drawers in a jewelry box with a total volume of 17.5 cubic inches Show your work.
Answer:
1. total volume of box=2.5(V)D
2. 7 Drawers
Step-by-step explanation:
2.5 = V
so 1 draw = 2.5 cubic inches of volume
so V(2.5) × D(number of drawers) = total volume of drawers in the box
16 ounces is equivalent to 1 pound. A lion cub born at the zoo weighs 2 1/2 pounds. How many ounces does the lion cub weigh? Show your work.
Answer:
40 ounces.
Step-by-step explanation:
Simply multiple 2 1/2 pounds with 16 in order to find how many ounces the lion cub weighs.
2.5 * 16 = 40
Therefor, the lion cub weighs 40 ounces.
A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is
16:9
What is the length of the diagonal of the screen, to the nearest whole inch?
Enter your answer in the box.
Answer:
22.95 in = ~~ 23 inches
Step-by-step explanation:
16 + 9 = 25
9/16 = x/20 shows x = 11.25 in is height
diagonal ( via pyhtag theorem)
= sqrt ( 20^2 + 11.25^2 ) = 22.95 inches
carnival a charges an entres fee of 7.50 and 0,75per tiket for the rides carnival b charges an entrence fee of 12.00
Answer:
So what? Please tell the full question
Calla bought 8 writing utensils for a total of $30. Pens cost $4 each and pencils cost $3 each. How many pens did she buy?
Clover O Donnell
Problem iu: PRAEUS
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image.
13 in
10 in
1 in
5 in
What is the volume of this piece?
Do not include units (in?) in your answer.
copied for free from openupresources.org
below as a number example: 5.3.1.4 1/2, or 3/2)
An old car has to travel a 2-mile route, uphill and down. Because it is so old, the car can climb the first mile, the ascent, no faster than an average speed of 15 mi/h. How fast does the car have to travel the second mile, on the descent, to achieve an average speed of 30 mi/h for the trip
Answer:
2s + 30 = 2s
Step-by-step explanation:
Time up hill + time down hill = total time
:
Multiply equation by 30s; results
2s + 30 = 2s
:
last one i swear please help
Answer:
Step-by-step explanation:
PLEASE HELP!! I’m really bad with word problems.
Answer:
19). V = 381.51 cubic inches
20) The cylindrical box has a greater volume so Lin would prefer getting it.
Step-by-step explanation:
Assuming that the plastic bag filled with water was shaped like a sphere (bc there's not enough context to make it anything other than a sphere), the solution lies within an equation:
V = 4/3πr^3
This is the equation for finding the volume of sphere.
Hint: diameter = radius/2
V = 4/3π(4.5)^3
V = 4/3π(91.125)
V = 4.19(91.125)
V = 381.51 cubic inches
______________________________________________________
Equation of a rectangular prism: V = L * W * H
Equation of cylinder: V = πr^2h
Rectangle box:
V = 12 * 9 * 10
V = 120 * 9
V = 1080
Cylinder box:
V = π5^2(14)
V = π(25)(14)
V = 350 * 3.14
V = 1099
1080 < 1099
158962.5 rounded to nearest tenth
Answer:
158962.5
Step-by-step explanation:
it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963
sorry if i am wrong :) have a nice day
Consider the graph of the function f(x)=log2 x. What are the features of the function g if g(x)=f(x+4)+8?
THE SUM OF THREE CONSECUTIVE EVEN INTEGERS IS 72 FIND THE THIRD INTEGERS.
Answer: The three consecutive even numbers are 22, 24, 26
22+24+26 = 72
========================================================
Explanation:
x = first even numberx+2 = second even number directly right after x(x+2)+2 = x+4 = third even number directly after x+2For example, if x = 12, then we'd have x+2 = 12+2 = 14 and x+4 = 14+4 = 18.
However 12+14+18 = 44 is not 72 like we want.
You can guess-and-check your way to the answer, but a faster efficient route is to use algebra. Add up those x expressions and set the sum equal to 72 and solve.
(first) + (second) + (third) = 72
(x) + (x+2) + (x+4) = 72
3x+6 = 72
3x = 72-6
3x = 66
x = 66/3
x = 22
So we have,
x = 22 = first even numberx+2 = 22+2 = 24 = second even numberx+4 = 22+4 = 26 = third even numberAs a check: 22+24+26 = 72 which verifies the answers.
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction
a =
b =
c =
d =
e =
f =
g
Answer: I got you
The values are:
a = 6
b = 2
c = 6
d = 2
e = 6
f = 6
g = 1
Step-by-step explanation: Hope this helps
The values for the highlighted variables that show how to subtract the rational expressions are; a = 6, x^2 + 6x is equal to x(x+6), and b=2.
What is rational expressions?From the information, the denominator and numerator of the first term are multiplied by x.
The difference of squares is factored as (a² -b²) = (a +b)(a -b), so the denominator of the first term can be factored.
The common factor x can be factored out of the denominator of the second term which gives ...
[tex]\dfrac{2}{x^2-36}-\dfrac{1}{x^2+6x}= \dfrac{2}{(x+6)(x-6)}-\dfrac{1}{x(x+6)}\quad a=6[/tex]
Now Multiplying the first term by x/x and the second term by (x-6)/(x-6) gives ...
[tex]\dfrac{2x}{(x+6)(x-6)x}-\dfrac{x-6}{(x+6)(x-6)x}\quad b=2,\ c=6[/tex]
Writing the sum over the common denominator, we have;
[tex]\dfrac{2x-x+6}{(x+6)(x-6)x}\quad d=2,\ e=6[/tex]
Collecting terms in the numerator gives ...
[tex]\dfrac{x+6}{(x+6)(x-6)x}\quad f=6[/tex]
Finally, canceling the common factor we get;
1/(x-6)x
The values of the letters are; a=6, b=2, c=6, d=2, e=6, f=6, g=1
Learn more about expressions on:
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The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). if area = length × width, what is the width of the rectangle? x 1 x – 9 x 4 x – 1
Answer:
Area = x4 + 4x3 + 3x2 - 4x - 4
Length = x3 +5x2 + 8x + 4
Width = Area / Length.
Performing long division with polynomial.
x4 + 4x3 + 3x2 - 4x - 4 / x3 + 5x2 + 8x + 4 = x-1
Width = x-1
Step-by-step explanation:
The value of the width of the rectangle is,
⇒ (x - 1)
We have to given that;
In a rectangle;
Area = x⁴ + 4x³ + 3x² - 4x - 4
Length = x³ +5x² + 8x + 4
We know that;
Width = Area / Length.
Hence, Performing long division with polynomial.
Width = x⁴ + 4x³ + 3x² - 4x - 4 / x³ +5x² + 8x + 4
= x - 1
Thus, The value of the width of the rectangle is,
⇒ (x - 1)
Learn more about the rectangle visit:
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1. Find the sum of the series
15
∑ (2n-1)
n-1.
Show your work.
[tex]\\ \rm\Rrightarrow \sum^{15}_{n=1}2n-1[/tex]
[tex]\\ \rm\Rrightarrow 2(1)-1+2(2)-1\dots+2(15)-1[/tex]
[tex]\\ \rm\Rrightarrow 1,3,5\dots 29[/tex]
Sum of first 15 odd nos
n²15²225what is the outcome when you choose 8 pairs of summer shorts
solve the equation :
[tex] |6x^{2} + x - 2| + |2 + 3x - 9x^{2} | = |4x - 3x ^{2} | [/tex]
Answer:
x = ∞Step-by-step explanation:
Solving
| 6x² + x - 2 | + | 2 + 3x - 9x² | = | 4x - 3x² |6x² + x - 2 + 2 + 3x - 9x² = 4x - 3x²-3x² + 4x = 4x - 3x²x = ∞Any value is possible as long as it is positive and a real numberAs with simple linear regression, we desire the residuals to (select all that apply) have large variance. have constant variance. have a mean close to 1. have a mean close to 0. have in increasing mean.
As with simple linear regression, we desire the residuals to:
Have constant variance.Have a mean close to 0. What is a simple linear regression?It should be noted that a simple linear regression simply means a model that describes the relationship between a dependent variable and an independent variable.
In this case, as with simple linear regression, we desire the residuals to have constant variance and have a mean close to 0.
Learn more about regression on:
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-0.056 + 0.27 = ?
Please show ALL of your work and how you got your answer! (-:
✨50 POINTS!!✨
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textbf{GUIDE to remember: }[/tex]
[tex]\bullet\large\textsf{\ 2 negatives = \bf positive}\\\bullet\large\textsf{2 positives = \bf positive}\\\bullet\large\textsf{1 negative \& 1 positive = \bf negative}\\\bullet\large\textsf{1 positive \& 1 negative = \bf negative}\\\\\large\boxed{Since, your\ equation\ contains\ 1 \ negative\ \& \ 1\ positive, your \ result}\\\large\boxed{will \ most \ likely \ be \ a \ \huge\boxed{{negative}}}\large\checkmark[/tex]
[tex]\large\boxed{\rm{EQUATION: -0.056 + 0.27}}[/tex]
[tex]\large\text{SOLVING FOR THE EQUATION PROVIDED ABOVE}\uparrow \\\\\large\text{Start at \boxed{\rm{-0.056}} and \underline{go \bold{up}} \boxed{\rm{0.27}} \underline{\underline{spaces to the right}} side of}\\\large\text{the number line.}[/tex]
[tex]\large\text{You should have landed/stopped on \boxed{\rm{0.214}}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be \boxed{\mathsf{0.214}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the graphing calculator to graph the parent function. f(x) = log(x) add the translated function. f(x) = log(x - h) k plug in different values of h and k to answer the following questions. what happens when h is positive? what happens when h is negative? what happens when k is positive? what happens when k is negative?
The functions f(x) = log(x) and f(x) = log(x - h) + k are logarithmic functions
How to interpret the graph?The functions are given as:
f(x) = log(x)
f(x) = log(x - h) + k
From the graph of both functions, we have the following highlights:
When h is positive, the graph moves closer to the positive x-axisWhen h is negative, the graph moves closer to the negative x-axisWhen k is positive, the graph moves closer to the positive y-axisWhen k is negative, the graph moves closer to the negative y-axisRead more about logarithmic functions at:
https://brainly.com/question/1695836
Answer:
horizontal shift to the right,
horizontal shift to the left,
vertical shift up,
vertical shift down.
Step-by-step explanation:
A 1,500-gallon tank contains 200 gallons of water. Water begins to run into the tank at the rate of 75 gallons
per hour. When will the tank be full but not overflowing?
Answer:
17hrs (a little more)
Step-by-step explanation:
The tank is 1500 gallon capacity, it already contains 200 gallons.
1500-200=1300
Now, you have to figure how many hrs it will take at 75 gallons / hr to reach the additional 1300 gallons.
1300÷75= 17.33
It says full, but not overflowing. So I would say around 17hrs
A satellite flies 136640 miles in 17. 08 hours. How many miles has it flown In 9. 87 hours
Answer:
78 960 miles
Step-by-step explanation:
136640 m / 17.08 hr = 8000 m/hr
8000 m/hr * 9.87 hr = 78 960 miles
need help with this question 11
The length of a rectangle is 10 cm and the width is 15 cm. What is the
area of the rectangle in square meters?
Answer:
0.015 m²
Step-by-step explanation:
Since we need the area in square meters, we need to first convert our centimeter values into meters.
[tex]\frac{1m}{100cm} =10cm[/tex]
1 · 10 = 10
10/100 = 0.1 m
[tex]\frac{1m}{100cm} =15cm[/tex]
1 · 15 = 15
15/100 = 0.15 m
The area of a rectangle is a = l · w. Plugging in the given values, we get:
a = 0.1 × 0.15
a = 0.015 m²
hope this helps!
The garden club earned $15dollar sign, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their earnings.
How much did the garden club earn in all?
Answer:
Step-by-step explanation:
the answer should be 15t times 2.
Answer:
anser is 60$
Step-by-step explanation:
15*2 = 30 (total without donor)
donor is multiplying what the earned my 2 so 30*2+60
please help!! it’s select all that apply :)
Answer:
1. [tex]y = 4 * 2^x^+^1[/tex]
4. [tex]y = 2^x^+^3[/tex]
Step-by-step explanation:
First one:
[tex]y = 4 * 2^x^+^1\\y = 4 * 2^x * 2^1\\y = 8 * 2^x[/tex]
Fourth one:
[tex]y = 2^x^+^3\\y = 2^x + 2^3\\y = 8 * 2^x[/tex]