Answer:
see below
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
FOIL
8(n^2 +2n+4n+8) = 1144
Divide each side by 8
8/8(n^2 +2n+4n+8) = 1144/8
(n^2 +2n+4n+8) = 143
Combine like terms
n^2 +6n+8 = 143
Subtract 143 from each side
n^2 +6n+8 -143= 0
Combine like terms
n^2 +6n -135 =0
Factor
What two terms multiply to -135 and add to 6
-9*15 =-135
-9+15 = 6
(n-9) (n+15) =0
Using the zero product property
n-9 =0 n+15=0
n = 9 n=-15
The length cannot be negative so n = -15 cannot be a solution
n =9
Answer:
n = 9
Step-by-step explanation:
8(n + 2)(n + 4) = 1,144
(n + 2)(n + 4) = 143
n² + 2n + 4n + 8 = 143
n² + 6n - 135 = 0
n² + 15n - 9n - 135 = 0
n(n + 15) - 9(n + 15) = 0
(n - 9)(n + 15) = 0
n = 9, -15
since n is a length, it can not be negative
Therefore the only solution is n = 9
Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions
Answer:
8n + 1, where n is a whole number greater than or equal to 0.
Step-by-step explanation:
Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.
The sequence is an arithmetic sequence.
The pattern is 1 + (n - 1)8.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8 is an arithmetic sequence.
We have,
1, 9, 17, 25, 33,....
This is an arithmetic sequence.
The first term is 1.
a = 1
The common difference is 8.
d = 8
i.e
9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
The nth term of an arithmetic sequence.
= a + (n -1)d
= 1 + (n - 1)8
Thus,
The pattern of the sequence is 1 + (n - 1)8.
Where n is the term of the number.
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Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36
Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556. That's probably good enough to choose A.
Let's do it the way they want.
[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]
[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]
Answer: A
Estimate worked. Sine is approximately linear when the range is small enough.
The lowest point of elevation in the United States is at Death Valley National Park in California at 282 feet below sea level. The Dead Sea in Israel is 1,360 feet below sea level. Write a division expression that could be used to find how many times greater the Dead Sea lies below sea level than Death Valley. Then determine how many times greater. Round to the nearest whole number.
Answer:437
Step-by-step explanation:I took the test
Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?
Answer:
13.34
Step-by-step explanation:
Answer:
15 miles is the answer, I hope this helps
Step-by-step explanation:
1. Set up a proportion
2. Convert 2 hours to 120 minutes
3. Cross multiply then divide the remaining number in the proportion
Dustin works in a department store. He earned $89.00 for working 10 hours last week. At this rate, how much would Dustin earn for working 38 hours?
Answer:
$338.20
Step-by-step explanation:
Find out how much Dustin gets for one hour of work, since you are given how much Dustin earns in 10 hours, you divide it by 10 (the number of hours) to find one hour,
89/10=8.9
$8.9 per hour
So 38 hours would be
8.9 x 38= $338.20
Answer:
$338.20
Step-by-step explanation:
Which is the longest length?
a 1 yd. 20 in.
b 1yd. 1 ft.
С
40 in.
d 3 ft.
Answer:
a-1yd20in
Step-by-step explanation:
a-4ft 8in
b-4ft
c-3ft 4in
d-3ft
Answer:
it's A, one yard and 20 inches
Step-by-step explanation:
If you convert them all to inches, a yard and a 20 inches are equal to 56 inches, so you can rule out the 40 inches answer. a yard and a foot are equal to 48 inches, so we can rule out that also. 3 feet is equal to 36 inches, because we know that a foot is equal to 12 inches. so you are left with A. 1 yard and 20 inches.
find the volume, help please all numbers are in inches, will mark brainleist
Prism volume will be base area times height. We have a right triangular base, so its area is half the product of its legs, area (1/2)(6)(8)=24. The prism has a height 13. Multiplying we get a volume of 24×13 = 312 cubic inches.
Answer: 312 cubic inches
PLSSSS help
Marking BRainlist
Answer: x = 14 for the first one, x = 4 for the second
Step-by-step explanation:
8x - 9 = 7x + 5
subtract 7x from both sides
x - 9 = 5
add 9 to both sides
x = 14
8x + 9 = 3x + 29
subtract 3x from both sides
5x + 9 = 29
subtract 9 from both sides
5x = 20
divide both sides by 5
x = 4
there are 12 inches in 1 foot
write an equation to find the number of inches in any number of feet
Answer:
divide the number of inches by 12
Step-by-step explanation:
ASAP PLS
How many cubic centimeters of water can this paper cone cup hold?
8 centimeters
192 cubic centimeters
1447 cubic centimeters
9 centimeters
216 cubic centimeters
487 cubic centimeters
Vcone =
Answer:
48π
Step-by-step explanation:
The radius is 4 and the height is 9
V=1/3*π 4^2*9
Simplify:
48π
Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8
(1/3)^3 Evaluate the expression. This question is designed to test your intelligence.
Answer:
1/27
Step-by-step explanation:
That means
1/3 * 1/3 * 1/3
1/9 * 1/3
1/27
Answer:
1/27
Step-by-step explanation:
(1/3)^3
1/3*1/3*1/3
1/27
Solve for x.
-30 = 5(x+1)
Answer:
−30=5(x+1)
Step 1: Simplify both sides of the equation.
−30=5(x+1)
−30=(5)(x)+(5)(1)(Distribute)
−30=5x+5
Step 2: Flip the equation.
5x+5=−30
Step 3: Subtract 5 from both sides.
5x+5−5=−30−5
5x=−35
Step 4: Divide both sides by 5.
5x5=−355
x=−7
Answer:
x=−7
Answer:
x = -7
Step-by-step explanation:
Since this problem has the distributive property, we can simplify the problem.
-30 = 5x + 5
Now we have to subtract 5 from both sides because of the +5.
-35 = 5x
To find the answer, we have to move all the real numbers to one side, the variable on the other. To do this, we can simply divide both sides by 5.
-7 = x
x = -7
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Mr. Massy started baking cupcakes at 7:15 a.m. The cupcakes finished baking at 7:40 a.m. How long did it take the cupcakes to bake?
Answer:
25 minutes
Step-by-step explanation:
If the cupcakes started baking at 7:15, then it takes 25 minutes to get to 7:40.
Answer:
he took 25 min
Step-by-step explanation:
40-15 =25
The chart below shows the distribution of weeds in a yard.
A circle graph titled Lawn weeds. The largest proportion is crab grass, then dandelion, then clover, then chickweed.
A lawn-care specialist chooses a random sample from the yard and determines the number of weeds in the sample. The results of the sample are shown in the table below.
Weed Type
Number
Dandelion
2
Clover
3
Crab Grass
2
Chickweed
2
Which explains whether or not this is a representative sample?
Yes, this is a representative sample because each type of weed is represented in the sample.
Yes, this is a representative sample because each type of weed is represented approximately the same number of times in the sample.
No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
No, this is not a representative sample because each type of weed should be represented exactly the same number of times in the sample.
Answer:
Its c,No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answer:
no it's not a reflection
Step-by-step explanation:
a reflection would not be upside down like that, it would be the same thing rotated
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
Suppose that y varies inversely with x. Given x=-3 when y=-105. Find y when x=15
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
[tex]y\propto \dfrac{1}{x}[/tex]
[tex]y=\dfrac{k}{x}[/tex] ...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
[tex]-105=\dfrac{k}{-3}[/tex]
[tex]-105\times (-3)=k[/tex]
[tex]315=k[/tex]
Now,
[tex]y=\dfrac{315}{x}[/tex]
Substitute x=15 in the above equation.
[tex]y=\dfrac{315}{15}[/tex]
[tex]y=21[/tex]
Therefore, the value of y is 21 when x=15.
I NEED HELPPPPP!!!! PLZZZ
Answer:
13.5
Step-by-step explanation:
Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answer:
b. only 5,4
Step-by-step explanation:
Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80
B.$23.40
C. $31.20
D. not enough information
Answer:
The answer is B
Step-by-step explanation:
BEcause I took the test
Answer:
B. $23.40
Step-by-step explanation:
1. You have to divided the cost by the number of gallons to get the the cost per gallon
2. multiply the number of gallons by the cost per gallon that you found
Then you have your answer!
4) If z/3 = 6, what is z equal to?
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. Find the perimeter of PQRS.
Answer:
100 units
Step-by-step explanation:
Lengths of diagonals:
PR = 14
QS = 48
Since all 4 sides are equal in length, it's a rhombus
Length of each side:
sqrt[(14/2)² + (48/2)²]
sqrt(625)
25
Perimeter = 4 × 25
= 100
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
In quadrilateral PQRS, PQ = QR = RS = SP, PR = 14, and QS = 48. The diagonal of the rhombus intersect at a right angle. Then the side length of the rhombus is given as,
a² = (14 / 2)² + (48 / 2)²
a² = 49 + 576
a² = 625
a = 25
Then the perimeter of PQRS will be given as,
P = 4a
P = 4 x 25
P = 100 units
The side length of the rhombus is 25 units. Then the perimeter of the rhombus PQRS will be 100 units.
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Solve the equation in the image
Answer: 55
Step-by-step explanation:
[tex]\sqrt[3]{4x-4}=6[/tex]
Begin by cubing each side of the equation to get rid of the cubic root.
[tex](\sqrt[3]{4x-4})^3=(6)^3\\ 4x-4=216[/tex]
add 4
[tex]4x-4+4=216+4\\4x=220[/tex]
Divide by 4
[tex]\frac{4x}{4}=\frac{220}{4}[/tex]
[tex]x=55[/tex]
Answer:
it is zero
Step-by-step explanation:
The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *
Answer:
because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire
Step-by-step explanation:
if im wrong im sorry if not pls brainlyest
Which of these graphs represents a function
A.w
B.x
C.y
D.z
The correct option is D. The graph z is representing a quadratic function.
What is a quadratic function?In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The general form of the quadratic functions is represented as below:-
y = ax² + bx + c
Where a,b, and c are the constants x and y are variables.
The graph of the quadratic functions will be parabolic on the x-y plane.
Therefore, the correct option is D. The graph z is representing a quadratic function.
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