Answer:
0.521
Step-by-step explanation:
It's just like subtracting
Please help me with this.
Answer:
12.4
Step-by-step explanation:
do 9x11 (the cross)
then divide that by 8, so 99/8
that equals 12.375 which rounded to the nearest tenth is 12.4
A gardener grows sunflowers and records the heights, y , in centimeters, each day, x . The table shows the gardener’s data.
Answer:
Explanation is in a file
Step-by-step explanation:
The equation that represents the relation in this situation is: y = 3x + 8
What equation does represent the relationships between x and y?The relationship between days (x) and height (y) is a linear one. Each day, the height increases by 3 centimeters, and the initial height is 8 centimeters (y-intercept).
This can be represented by the equation y = 3x + 8, where 3 is the rate of increase per day and 8 is the initial height. This equation accurately models the given data points: (1, 11), (2, 14), (3, 17), and (4, 20).
Note: This question is incomplete. Here is the complete information:
Which equations represents the relationships between x and y?
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Hey may someone please help me<4! I’ll greatly appreciate it
Answer:
1st figure out how many feet in 1 yard
Then you can take that number <x>
X x 5
Step-by-step explanation:
Answer:
1.67 yards or 5/3
Step-by-step explanation:
I just looked it up
I’m need this worked out step by step by tonight
9514 1404 393
Answer:
-3 ≤ x ≤ 19/3
Step-by-step explanation:
This inequality can be resolved to a compound inequality:
-7 ≤ (3x -5)/2 ≤ 7
Multiply all parts by 2.
-14 ≤ 3x -5 ≤ 14
Add 5 to all parts.
-9 ≤ 3x ≤ 19
Divide all parts by 3.
-3 ≤ x ≤ 19/3
_____
Additional comment
If you subtract 7 from both sides of the given inequality, it becomes ...
|(3x -5)/2| -7 ≤ 0
Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.
__
For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...
|f(x)| < (some number) . . . . or ≤
If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:
|f(x)| > g(x) ⇒ f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0
Any solutions to these inequalities must respect their domains.
Identify the terms and like terms in the expression
t + 8 + 3t =
Answer:
jzjzhsjoqhzjs I I shxaoaas
Which is the missing factor that makes the equation true?
___ 1.1 = 0.22
A.0.02
B.0.2
C.2
D.20
The missing factor that makes the equation true is 0.2.
According to the question;
We are required to determine the missing factor that makes the equation ___ 1.1 = 0.22 true.Let the missing factor be represented as x.
x × 1.1 = 0.22In essence; by dividing both sides of the equation by 1.1; we have;
x = 0.22/1.1x = 0.2Read more:
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Explain the steps for dividing decimals. Write three or four sentences.
Answer:
(assuming we're deciding decimals by decimals)
Dividing decimals is alot like regular decimal dividing. First, you must move the decimal places so it becomes a whole number. This makes it easier and less confusing as steps go on. Now we can divide regularly as we go on, making sure to put the amount of decimal spots we moved back in the answer.
Answer:
The first step is to make the divisor a whole number by multiplying it by a power of 10. When you multiply the divisor by a power of 10, you must multiply the dividend by the same power of 10. Then divide. Check your answer using estimation.
Step-by-step explanation:
y-3=1/6(x-6)
................
Answer:
answer is y=1x/6 +2. or y= X+ 12/6
Step-by-step explanation:
y-3 = 1/6(x-6)
y-3= 1x/6 -1
y = 1x/6 -1+3
y. = 1x/6 +2. or y= X+ 12/6
Calculate the area of the shape below. Give your answer in cm².
Answer:
area of the shape below is
53cm^2
.......
A computer programming team has 17 members. (For each answer, enter an exact number.) (a) How many ways can a group of nine be chosen to work on a project? 24310 Correct: Your answer is correct. (b) Suppose nine team members are women and eight are men. (i) How many groups of nine can be chosen that contain five women and four men? 1 Incorrect: Your answer is incorrect. (ii) How many groups of nine can be chosen that contain at least one man? 9 Incorrect: Your answer is incorrect. (iii) How many groups of nine can be chosen that contain at most three women? (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project?
The number of groups that can be chosen from the team of 17 depends on
the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.(ii) The number of groups of 9 that contain at least one man is 24,309 groups.(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.Reasons:
The combination of n objects taking r at a time is given as follows
[tex]_nC_r = \dbinom{n}{r}[/tex]
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = [tex]\dbinom{17}{9}[/tex] = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = [tex]\dbinom{9}{5} \times \dbinom{8}{4}[/tex]
[tex]\dbinom{9}{5} \times \dbinom{8}{4} = 126 \times 70 = 8,820[/tex]
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is [tex]\dbinom{17}{9} - \dbinom{9}{9}[/tex]
[tex]\dbinom{17}{9} - \dbinom{9}{9} = 24,310 - 1 = 24,309[/tex]
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
[tex]\dbinom{8}{8} \times \dbinom{9}{1} + \dbinom{8}{7} \times \dbinom{9}{2} + \dbinom{8}{6} \times \dbinom{9}{3} = 2,649[/tex]
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are [tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8}[/tex]
[tex]\dbinom{15}{9} + 2 \times \dbinom{15}{8} = 5,005 + 2 \times 6,435 = 17,875[/tex]
(d) Two team members must work together or not at all is [tex]\dbinom{15}{7} - \dbinom{15}{9}[/tex]
[tex]\dbinom{15}{7} - \dbinom{15}{9} = 6,435 - 5,005 = 1,430[/tex]
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
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An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?
A boat sails directly toward a 250-m skyscraper that stands on the
edge of a harbor. The angular size of the building is the angle
formed by lines from the top and bottom of the building to the
observer (see figure). Complete parts (a) and (b) below.
a) The value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) The rate of change of the angle with respect to x is -0.000308rad/m
Find the complete question and diagram attached
Form the right-angled triangle shown:
Adjacent side = x
Opposite side = 250m
angle of elevation = [tex]\theta[/tex]
Using the SOH CAH TOA identity
[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]
Hence the value of [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]
b) If x = 450m
[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]
Differentiate both sides with respect to "x"
[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]
Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:
[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]
Hence the rate of change of the angle with respect to x is -0.000308rad/m
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Can someone help me and explain on paper , I’m still so confused
Answer:
Your answer is -5
Step-by-step explanation:
On paper;
What is the slope of 3x+4y=−2?
Answer:
[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]
Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.
9514 1404 393
Answer:
a) see attached for the drawings
b) p = 8n -4
c) a(n) = 4n(n -3) +13 for n > 1; a(1) = 1
d) none
Step-by-step explanation:
a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.
__
b) The sequence of perimeter values is ...
4, 12, 20, 28, 36, ...
This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...
p = 8n -4
__
c) The sequence of area values is ...
1, 5, 13, 29, 53, ...
The first differences are ...
4, 8, 16, 24, ...
and the second differences are ...
4, 8, 8, ...
At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.
The function describing the sequence must be defined in two parts:
[tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]
__
d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.
_____
Additional comment
The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.
help with question 4 please
Answer:
dont know
Step-by-step explanation:
sorry
what is the product of -3 and +50
Answer:
the product of -3 and +50 is -150
(-3)×+(50)=-150
Answer:
-150Step-by-step explanation:
-3 × 50 =
-150
Identify the angles that each have a measure of 60\degree
Answer:
parrelel
Step-by-step explanation:
solve pls brainliest
Answer:
Below.
Step-by-step explanation:
a. 360 - 168
= 192 ft above sea level.
b. -168 - (-132) = -36.
36 feet lower.
Hey can someone help please hurry it’s important
[tex]\large\underline{\sf{Solution-}}[/tex]
Given info:
6885 ÷ 46
Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.
Let's solve!!
[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]
[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]
[tex] \sf{Now,} \\ [/tex]
[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]
[tex] \sf = 46 \times 149 + 31 \\ [/tex]
[tex] \sf = 6854 + 31 \\ [/tex]
[tex] \sf{ = 6885} \\ [/tex]
[tex] \sf = \red{ Dividend}. \\ [/tex]
Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work
Evaluate 8r-rs when r=6 and s=5 ?
midpoint of (-1, -1, and (-11,10)
Answer:
(-6, 4.5)
Step-by-step explanation:
Answer:
ki
Step-by-step explanation:
In the equation x² + 18x + 81 = 0, the roots are?
Answer:
x = (-9)Step-by-step explanation:
x^2 + 18x + 81 = 0
x^2 + 9x + 9x + 81 = 0
x(x+9) + 9(x+9) = 0
(x + 9)(x + 9) = 0
(x + 9) = 0
x + 9 = 0
x = 0 - 9
x = -9Simplify the following:
Show all steps.
[tex]\sqrt{108} x^{2} y^{3} -\sqrt{12} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex]
Answer:
[tex]\sqrt{3} xy^{3}[/tex]×(4x+5)
Step-by-step explanation:
6[tex]\sqrt{3} x^{2} y^{3} - 2\sqrt{3} x^{2} y^{3} + x \sqrt{75} y^{3}[/tex] simplify
4[tex]\sqrt{3} x^{2} y^{3} +x\sqrt{75} y^{3}[/tex] collect like terms
[tex]\sqrt{3} xy^{3}[/tex]×(4x+[tex]\sqrt{25}[/tex]) factored out [tex]\sqrt{3} x y^{3}[/tex]
[tex]\sqrt{3} xy^{3}[/tex]×(4x+5) simplify
Compare the decimal numbers 0.218 and 0.128.
0.128 = 0.218
0.218 < 0.128
0.128 > 0.218
0.218 > 0.128
Easy Help 5th grade math will mark as brainlist
Answer
0.128>0.218 ,0.218>0.128, 0.128<0.218, 0.218>0.128
Step-by-step explanation:
0.218 is bigger because its 0.218 is a bigger number than 0.128rounding 615×38 to 1 significant figure estimate
Answer:
24,000
Step-by-step explanation:
615 ≈ 600
38 ≈ 40
600 × 40 = 24,000
Therefore, 615 × 38 ≈ 24,000
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
if a box holds 24 1/8-in cubes what is the volume
Answer:
the box volume is 34
Step-by-step explanation:
so you add then multiply 24 by 1/8 and that make 34 and sorry if it's not correct I'm bad at matg
Find the equation of a line perpendicular to y=2 that contains the point (−5,1).
Answer:
y = -1/2x - 5/2
Step-by-step explanation:
y = 2x – 1
Current slope is 2, perpendicular is opposite inverse which is -1/2.
y-intercept through point (-5, 0):
y = mx + b
0 = -1/2(-5) + b
0 = 5/2 + b
b = -5/2
Use the perpendicular slope and b above to form new equation of line:
y = mx + b
y = -1/2x - 5/2