Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
Keona pours 128 ounces of water into a jar 3 times to fill it. How many pints of water does it take to fill the jar? (4 points)
Answer:
24 pints
Step-by-step explanation:
128 ounces · 3 = 384 ounces
384/16 = 24 pints
Answer:
There are 16 ounces in a pint. 128 ounces will then be 128/16, or 8 pints. If you use three of the 128 ounces, or 8 pints, you can multiply the 8 by 3, giving 24 pints.
Step-by-step explanation:
i’ll award brainliest! no links
Given ABC is congruent to XYZ. If AC = 10, determine the length of YZ.
Mai had $14.50. She spent $5.25 at the arcade. What is the exact amount of money
Mai has left?
Answer:
nine dollars and 27 cents
Step-by-step explanation:
if u minus 14.50 minus 5.25 u get 9.27 9 dollars and 27 cents
Yw!
Answer:
9.25
Step-by-step explanation:
subtract 5.25 from 14.50
a number increased by 8 is 21 help
Answer:
the number is 13
Step-by-step explanation:
13+8=21
Answer:I think it means that a number plus 8 is 21? or possibly multiplied?
Step-by-step explanation:
In an alloy of gold and silver the ratio of the metals is 6:4. How much gold is there in 200 grams of this alloy?
Answer:
120 gold is in the alloy
Step-by-step explanation:
G:S
6:4
6+4=10
200/10=20
20*6=120
Hope this helps!
Find the area of the trapezoid.
What is the area of a trapezoid with bases of 19.6 yd and 29.7 yd and a height of 19.1 yd?
Answer:
470.81 or 470.815
Step-by-step explanation:
help!!! (Brainlist!!!!!)
Answer:
Its A
Step-by-step explanation:
Can u help solve this step by step?
Answer:
[tex]\sqrt{28}[/tex]
Step-by-step explanation:
It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,
[tex](a)^2+(b)^2=(c)^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,
[tex](6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}[/tex]
Write the formula to evaluate the rate of VAT (V%) if
selling price with VAT is Rs. x and selling price without
VAT is Rs. y.
help.
Answer:
V% = (100(x - y)/x)%
Step-by-step explanation:
We are given;
Selling price with VAT = Rs. x
Selling price without VAT = Rs. y.
Thus; VAT = Rs. (x - y)
Rate of VAT(V%) = ((x - y)/x) × 100%
= (100(x - y)/x)%
What is the measure of ∠A, the exterior angle of the triangle shown below?
F. m∠A = 92°, because 180 – (50 + 38) = 92.
G. m∠A = 272°, because 180 – (50 + 38) = 92 and 92 + 180 = 272. H.m∠A=78°,because 50–38=12and90–12=78.
J. m∠A = 88°, because 50 + 38 = 88.
Answer: A is 88
Step-by-step explanation: Sum of all angles is 180 degree.
Let the third interior angle be x.
38+50+x=180
88+x=180
x= 92
A and X are in linear pair.
A+X=180
A+92=180
A=88
Pls help what is the answer? I need help, no links are allowed.
Answer:
44 cm³
Step-by-step explanation:
If you break up this shape into 2 pieces you get a rectangle with the measurements of 2, 2, and 5 and another rectangle with the measurements of 2, 2, and 6. You then multiply 2, 2, and 5 together which will get you 20, and multiply 2, 2, and 6 together which will get you 24. You will then add both products which will get you 44. Since the measurement is in centimeters and it is a 3 dimensional shape it will then become 44 cm³.
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414
in the figure, c // d. What are the measures of <1 and <2? Enter your answers in the boxes. Just write the numbers. (not the degree symbols)
Answer: <1 = 105° and <2 = 75°
Step-by-step explanation:
The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.
180 - 75 = 105
<1 = 105 degrees
solve for x: 2x^2 + 3x = 2
solving other quadratic equation by factoring
Answer: x=1/2,-2
not sure if that is what you need
Step-by-step explanation:
can someone please help me
Answer: -8
Step-by-step explanation:
Put -8 in place of all of the x variables when I solved the top was equal to 40 and the denominator was equal to -5 and 40/-5 is equal to -8
Answer:
-8
Step-by-step explanation:
(-8) ^2+3(-8)
= ------------------------
4(-8)+27
64-24
=-----------------
-32+27
40
=------------
-5
= -8
Jim wants to buy a new tablet for his homework. His budget is $350. If the tablet costs $330 plus 4.5% sales tax, can he buy it for $350 or less?
Answer:
Yes, he can buy it for $350 or less
Step-by-step explanation:
330.00 x 4.5%
330.00 x 0.045 = 14.85
330.00 + 14.85 = 344.85
or
330.00 x 1.045 = 344.85
Answer for brainliest no files
Answer:
D
Step-by-step explanation:
because its the only one that get the answer 3 2/3 which is the amount shown on the line.
Plz help me solve and show your work.
Hi there!
[tex]\large\boxed{h = \frac{15x}{y}}[/tex]
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
[tex]h = \frac{15x}{y}[/tex]
What is the domain of this function?
y = 2x - 2
Answer:
The domain is (-∞,∞)
Step-by-step explanation:
Since there's no limit to this function, the values are infinity.
PLEASEE HELP ME FAST
Answer:
Step-by-step explanation:
2/3 ÷ 1/3
=2/3 × 3/1 (recipracol)
=6/3
=2
Answer:
2 and [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
when you divide by a fraction you just multiply by its reciprocal
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{3} * \frac{3}{1}[/tex]
then just solve
[tex]\frac{6}{3}=2[/tex]
for the second one do the same thing
[tex]\frac{4}{5} * \frac{2}{1} =\frac{8}{5}[/tex]
A running track design is composed of two half circles connected by two straight-line segments. Garrett is jogging on the inner lane (with radius r) while Devin is jogging on the outer (with radius R). If r= 30 meters and R= 33 meters, how much longer does Devin have to run to complete one lap?
Answer:
18.86 m
Step-by-step explanation:
From the given question, both covers the same distance of the straight line segment.
For the inner lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 30 x [tex]\frac{22}{7}[/tex]
= 94.2857
So that,
the total length for the two halves of the inner lane = 2 x 94.2857
= 188.5714 m
For the outer lane,
length of arc of its semicircle = [tex]\pi[/tex]r
= 33 x [tex]\frac{22}{7}[/tex]
= 103.7143
The total length for the two halves of the outer lane = 2 x 103.7143
= 207.4286 m
The difference between the two = 207.4286 - 188.5714
= 18.8572 m
Therefore, Devin would run 18.86 m more to complete one lap.
I need help ASAP will give brainliest
Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19 ( Show me your working)
= 1000
I know
I think hope this helps
Help Asap please, If you dont know it please dont!
Answer:
D. 22 2/3 square yards
Step-by-step explanation:
To find the area of a rectangle or the workshop, you just have to multiply the two measurements together.
Hope this helps!
-Luna
1. Find the area of the composite figure to the nearest hundredth.
55 mm
32.5 mm
12.5 mm
12.5 mm
total area =
mm?
Answer:
[tex]745.45 mm^{2}[/tex]
Step-by-step explanation:
(semicircle) A1 = 245.45 mm
(rectangle) A2 = 312.5 mm
(triangle) A3 = 187.5 mm
Formula for semicircle = [tex]A = \frac{1}{2} \pi r^{2}[/tex]
[tex]\frac{1}{2}\pi 12.5^{2} = 78.13\pi = 245.45 mm[/tex]
Formula for rectangle = [tex]A = lw[/tex]
[tex]25 x 12.5 = 312.5 mm[/tex]
Formula for triangle = [tex]A = \frac{1}{2} bh[/tex]
[tex]\frac{1}{2} 30(12.5) = 187.50mm[/tex]
Now we add them all up to get our answer
[tex]245.45 + 312.5 + 187.5 =745.45mm^{2}[/tex]
The area of the composite figure is 741.31 mm².
What is area?The area of any object is given by the space covered by it.
Given is a composite figure having shapes, a semicircle, a triangle and rectangle,
We need to find the area of the composite figure,
So, to find the same we will find the areas of the figure and then add them,
So,
Area of a semicircle = π × radius² / 2
= 3.14 × 12.5² / 2
= 245.31 mm²
Area of a triangle = 1/2 × base × height
= 1/2 × 12.5 × 30
= 187.5 mm²
Area of a rectangle = length × width
= 12.5 × 25
= 312.5 mm²
Now, the whole area = 245.31 + 187.5 + 312.5 = 741.31 mm²
Hence the area of the composite figure is 741.31 mm².
Learn more about area click;
https://brainly.com/question/27683633
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I have a picture with the question plz help I've been stuck on this
Answer:
i'm pretty sure it's 4
Step-by-step explanation:
you take the point (1,4) and make it so y is over x (y/x), which gets 4/1, so the constant of proportionality would be 4
Can some one help me on 11- 12
Answer:
11. 6 feet 12. 140 inches cubed
Step-by-step explanation:
To get the cylinder use the formula [tex]h=\frac{V}{\pi r^{2} }[/tex].
To get the volume on the laptop use the formula volume=length x width x height.
evaluate 4z -5y when z=8 and y=3
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
Acellus
If AABC = ADEC, ZDCE = 55°,
LCDE = 65°, and ZABC = 2x
А
D
E
B.
x = [?]
I genuinely just got to this school like last week help me please
Answer:
do you have any other info
Step-by-step explanation:
How many times does this polynomial change signs?
f(x) = 3x5 – 2x4 – 6x3 + x2 - 4x – 9
Answer:
3 sign changes from the highest order term to lowest
Help me!! no links or i REPORT, I will do brainliest if there is more than one answer and if you explain it
Answer: 1/2
Step-by-step explanation: There is only heads and tails on a coin so if you flip it you have a 50 50 chance of it landing on tails because there are only two outcomes.