Answer: [tex]h=\frac{23}{10} =2.300[/tex]
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]
[tex]Simplify~ \frac{3}{10}[/tex]
[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]
Subtracting a fraction from a whole
Rewrite the whole as a fraction using 10 as the denominator :
[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]
Equivalent fraction: The fraction thus generated looks different but has the same value as the whole
Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:
[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]
[tex]\frac{10h-23}{10} =0[/tex]
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.
Here's how:
[tex]\frac{10h-23}{10} *10=0*10[/tex]
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
10h-23 = 0
Add 23 to both sides of the equation :
10h = 23
Divide both sides of the equation by 10:
h = 23/10 = 2.300
Final Answer: 2.3(decimal form) aka 23/10 (fraction)
In a group of 32 musicians, all play piano, guitar, or both. Of those musicians, 12 only play guitar and 16 play both How many of the musicians play only piano
Answer:
4 only play piano
Step-by-step explanation:
12 + 16 = 28
32 - 28 = 4
Jonathan and his sister Jennifer have a combined age of 48. If Jonathan is twice as old as his sister, how old is Jennifer
The age of Jennifer is 16.
What is Jennifer's age?Let Jennifer's age be represented with x
Jonathan's age would be 2x
The sum of their ages would be 48
2x + x = 48
3x = 48
x = 48 /3 = 16
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Answer: Jennifer is 16
Step-by-step explanation: 2x+y=48, divide by 3 then multiply by 2
Is 9 a solution to the equation 21=3p-5? Show work
Answer:
No
Step-by-step explanation:
21 = 3p - 5
Step 1 : Add 5 on both sides
21 + 5 = 3p
26 = 3p
3p = 26
Step 2 : Divide 3 on both sides
p = 26/3
Hence, the solution of the given equation is 26/3, not 9.
If f(t) = 2t3 find each value.
f(4)
3[f(t)]
The value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
What is polynomia?To calculate the polynomial expression below, we use the technique below.
From the question,
Given:
f(t) = 2t³.............. Equation 1To find f(4) we substitute 4 as the value of x in equation 1
f(4) = 2(4³)f(4) = 512.To find 3[f(t)] we multiply equation 1 by 3
3[f(4)] = 3(2t³) = 6t³Hence, the value of f(4) and 3[f(t)] if f(t) = 2t³ is 512 and 6t³ respectively.
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x+6/x+3 X x-6/x-3
A. 2x-12/x-3
B. x-12/x-6
C. x^2-12/x^2-6
D. x^2-36/x^2-9
d
Step-by-step explanation:
Sheryl takes a summer job selling hats for a local soccer team. she realizes that there is a relationship between the number of games the team wins each season and the number of hats vendors like her tend to sell. she collects data from the past several seasons. the scatter plot shows her data and the line of best fit.
The equation of the line of fit and the data shows that the number of hats will be 48.
How to get the value?From the information, x games is won as y hats are sold. Therefore, the equation is given as:
y = 3.75x + 13.75
y = 3.75(9) + 13.75
y = 47.5
y = 48.
Therefore, the number of hats sold is 48.
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Last month, a basketball team scored 83, 84, 85, 87, 89, 88, 67, 79, and 81 points in their games. Which data value(s) are outliers? Select all that apply.
The data value that is an outlier is 67
How to determine the outlier?The dataset is given as:
83, 84, 85, 87, 89, 88, 67, 79, and 81
To determine the outlier, we select the data values that are relatively far from others
In the above dataset, the data element 67 is far from other data values
Hence, the data value that is an outlier is 67
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10 points!! Help me out please!!
To solve this, we need to use our trigonometric equations
⇒ look at the diagram attached
Let's examine what the problem wants:
the length of the side adjacent to the 58-degree angleLet's examine what the problem gives us:
the length of the side opposite to the 58-degree anglethe angle that has a measure of 58-degreesLet's solve:
[tex]tan(58)=\frac{22}{x} \\22=x*tan(58)\\x=\frac{22}{tan(58)} \\x=13.75[/tex]
Answer: 13.8 (rounded to nearest tenth)
Hope that helps!
wright the follwing in decimlal form:25/8
Answer:
25/8 in decimal form is 3.125.
Step-by-step explanation:
I hope this helps! :)
PLEASE HELP!! i’ll give brainliest and no bots!
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, [?], [?]
Please help me thanks!
Part 1
V = pi*r^2*h .... volume of a cylinder
250 = pi*r^2*h
h = 250/(pi*r^2)
Plug this into the surface area of a cylinder equation
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*r^2 + 2*pi*r*( 250/(pi*r^2) )
SA = 2*pi*r^2 + 500/r
Now replace every copy of r with x to get this function
f(x) = 2*pi*x^2 + 500/x
x = radius
y = f(x) = surface area
Next we'll use Desmos to graph this function. See the screenshot below. It produces some kind of curve that has two pieces to it. We'll only focus on the curve where x > 0 and y > 0. It makes no sense to have a negative radius, and we cannot have a negative surface area either.
Click on the lowest point of the parabolic looking shaped piece (it's not really a parabola, but we'll imagine that it is for the sake of simplicity).
The coordinates of that local min point will show up and they are (3.414, 219.689)
We have (x,y) = (3.414, 219.689) lead to r = 3.414 and SA = 219.689
This means that a radius of approximately r = 3.414 cm leads to the smallest surface area of approximately 219.689 square cm. This is when the amount of material is minimized.
Use this value of r to find h
h = 250/(pi*r^2)
h = 250/(pi*3.414^2)
h = 6.828
Desmos not only graphs, but it is also a standard calculator. The calculation is also shown in the screenshot.
Answer: This can has a radius of roughly 3.414 cm and height 6.828 cm.=============================================================
Part 2
Find the three side lengths of each triangle. So you should have 6 sides total. Then divide the corresponding sides to see if you get the same ratio. If so, then the triangles are similar by the side side side (SSS) similarity theorem. Another method is to find the angle between two sides and use the SAS (side angle side) similarity theorem. This is when the two pairs of sides form the same ratio, and the angles mentioned are congruent to each other. The angles must be between the sides used.A proportion can be used to solve equations based on similar polygons. For example, we could have the proportion x/2 = 30/10 which solves to x = 6.The first step is to multiply the two numbers. Then apply the square root to them. Example: The geometric mean of 4 and 9 is 6 because [tex]\sqrt{4*9} = \sqrt{36} = 6[/tex]help help help me please
Answer:
1 and 3/4
Step-by-step explanation:
KCF, Keep Change Flip
7/6 divided by 2/3 becomes 7/6 multiplied by 3/2, which is 21/12
This can be simplified to 7/4, or 1 and 3/4
Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party cost? Solve using unit rates.
Answer:
it will cost $48
Step-by-step explanation:
30/10 = 3
3x6 = 18
18 + 30 = 48
Answer:
$48
Step-by-step explanation:
30/10 equals to 3/1 3 x 16 is 48
Find the area of the smallest side of the right
triangle.
A = 169 ft²
A = 144 ft²
The area of the smallest side of the right triangle is 25 ft².
What is a right-angle triangle?A triangle having two sides at an angle of 90 degrees is called the right-angle triangle.
Note:- The figure is missing in the question I am attaching the complete figure with the answer below for calculation.
Given that:-
The hypotenuse = 169 ft ² = 13 ft
The side with area 144 ft² = 12 ft
Using Pythagoras' identity to find the third side x ( smallest )
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x = 5
Thus the area of the smallest side will be calculated as:-
A = 5²
A = 25 ft²
Therefore the area of the smallest side of the right triangle is 25 ft².
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Name the inverse opet
The inverse operation that you can use to solve this equation is
Answer:
Division
Step-by-step explanation:
You can use division to divide fractions.
Say you have a problem
3/4 divided by 2/5
Turn 2/5 into its reciprocal
That would be 5/2
then multiply 3/4 and 5/2
Which would be 15/8
Which is your answer
(not sure if this is what you are really asking)
What is the greatest common factor of 30y^10 + 15y^6 + 5y^2?
30y^10
5y^2
y^2
5y^10
Answer:
5y²
Step-by-step explanation:
Prime factorizing each term :
⇒ 30y¹⁰ = 5 x 3 x 2 x y¹⁰
⇒ 15y⁶ = 5 x 3 x y⁶
⇒ 5y² = 5 x y²
===============================================================
From this, we understand the GCF of the numbers are :
⇒ 5 × y²
⇒ 5y²
Given circle N with chord AB, which point lies on the perpendicular bisector of AB?
The point that lies on the perpendicular bisector of AB is point N
How to determine the point?The circle is given as:
Circle N
The chord is given as:
Chord AB
The perpendicular bisector of the chord is any line drawn from the center of the circle that divides the chord in equal halves.
This means that the point starts from point N
Hence, the point that lies on the perpendicular bisector of AB is point N
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State fundamental theorems
Answer:
Step-by-step explanation:
The median of the values:29,24,30,23,28,18,
Answer:
26
Step-by-step explanation:
18,23,24,28,29,30
(6 in total + 1)/2=3.5.
- the number which is 3.5 is between 24 and 28.
- middle number between these two is 26.
help only answer if you’re sure
Answer: D.
Step-by-step explanation:
5/9 + 2/4
find common denominator
common denominator=36
5 x 4=20 2 x 9=18
9 x 4=36 4 x 9=36
20/36 + 18/36
20 + 18=38
38/36 simplify
1 2/36 (if not in simpliest form)
Identify the national road that follows the coastline on the eastern side of the south Africa?
The name of the national road that follows the eastern coastline of South Africa is the N2.
Which road follows South Africa's eastern coastline?The N2 is a national road in South Africa that starts at Cape Town and goes towards the eastern part of South Africa.
It passes though Port Elizabeth, East London, Durban, and Richard's Bay which are all cities on the eastern side of South Africa and are along the coastline.
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Find the standard equation for the circle having the given center and radius.
center (0,0)
radius 7
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{0}{k})}\qquad \stackrel{radius}{\underset{7}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-0 ~~ )^2~~ = ~~7^2\implies x^2+y^2=49[/tex]
5. Hunter deposited $750 into a certificate of deposit that earns 4.35% annual simple interest for 3
years. How much interest will Hunter earn?
Answer:
$97.875
Step-by-step explanation:
interest = 750 * 4.35% * 3
= $97.875
Find the measure of the three missing angles in the rhombus below.
Explain it.
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
What is a Rhombus?A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
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1¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
y escribir un ejemplo...
2¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?
y escribir un ejemplo
La suma de dos números enteros negativos siempre será negativa. El signo de la suma de dos números enteros con signos diferentes dependera de cual tiene mayor valor absoluto.
¿Cuál es el signo del resultado de la suma de dos números enteros negativos?
La suma de dos números A y B se escribe como:
A + B.
Sí ambos números son negativos, los podemos escribir como:
A = -a
B = -b
Donde a y b son positivos.
Entonces la suma de esos dos nos dará:
(-a) + (-b) = -(a + b).
Es decir, el resultado de la suma es un número negativo.
Un ejemplo es sí tomamos:
A = -1
B = -4
(-1) + (-4) = -(1 + 4) = -5.
¿Cuál es el signo del resultado de la suma de dos números enteros con signos diferentes?En este caso dependerá de que número tenga mayor valor absoluto.
Por ejemplo, sí usamos:
A = 2
B = -4
2 + (-4) = -2
El resultado es negativo, pues el número negativo tiene mayor valor absoluto.
Por otro lado, sí tenemos:
A = -2
B = 4
(-2) + 4 = 2
El resultado es positivo, pues el número positivo tiene mayor valor absoluto.
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what is the measure of
Answer:
what
Step-by-step explanation:
Three numbers have the sum of 112. The first number is twice the second and the third number us twice the first. What is the smallest of the 3 numbers?
Answer:
x = 16
Step-by-step explanation:
Let the second number be x.
The first number = 2x
The third number = 2×2x = 4x
2x + x + 4x = 112
7x = 112
x = 112/7
x = 16
Tips on how to study for GCSE’s
help me please ill give expert for anyone who answers this
Answer:
see below
Step-by-step explanation:
There are two points where y = -3
at x = -2 and x = 1
when x = 0 f(0) = 1
Box and whisker plot measure of central tendency answers
One of the best things about box plots is that they include all of the measures of central tendency in one convenient package.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
The typical value of a set of data is known as the central tendency. We can measure central tendency in three different ways: mean, median, and mode.
Thus, one of the best things about box plots is that they include all of the measures of central tendency in one convenient package.
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