Answer:
option 4
Step-by-step explanation:
To write in terms of y
Step 1: subtract k from both sides
[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]
Step 2: Multiply the entire equation by n
[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]
Step 3: Divide the entire equation by 'e'
[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]
Factorise (a-2b) (3+x)
Answer: ax - 2bx plus 3a - 6b
Step-by-step explanation: I’m not so sure with this but it might help
Vertical angles are always adjacent. True False
Answer:
False
Step-by-step explanation:
Vertical angles are not always adjacent, but they are always congruent.
Hope that helps!
Answer:
False
Step-by-step explanation:
Hope it will help you*
Find the circumferences of both circles to the neartlest tenth
Answer with step by step explanation
First, let us find the circumference of the small circle.
The radius of the small circle is 5 cm.
So, now let us see the formula which is needed to find the circumference.
C = 2 π r
Let us find it now.
Circumference of the small circle.
C = 2 π r
C = 2 × 3.14 × 5
C = 31.4 cm
≈ 30 cm → nearest 10th
Now let us find the circumference of the big circle.
The radius of the big circle is 10 cm.
C = 2 π r
C = 2 × 3.14 × 10
C = 62.8 cm
≈ 60 cm → nearest 10th
Please help I will give brainliest.
Answer:
x = - [tex]\frac{3}{2}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
4x² + 4x = 3 ← factor out 4 from each term on the left side
4(x² + x) = 3
to complete the square
add/subtract ( half the coefficient of the x- term )² to x² + x
4(x² + 2([tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) = 3
4(x + [tex]\frac{1}{2}[/tex] )² - 1 = 3 ( add 1 to both sides )
4(x + [tex]\frac{1}{2}[/tex] )² = 4 ( divide both sides by 4 )
(x + [tex]\frac{1}{2}[/tex] )² = 1 ( take square root of both sides )
x + [tex]\frac{1}{2}[/tex] = ± 1 ( subtract [tex]\frac{1}{2}[/tex] from both sides )
x = - [tex]\frac{1}{2}[/tex] ± 1
then
x = - [tex]\frac{1}{2}[/tex] - 1 = - [tex]\frac{3}{2}[/tex]
x = - [tex]\frac{1}{2}[/tex] + 1 = [tex]\frac{1}{2}[/tex]
Find the additive inverse of 4x + 3 .
Answer:
-4x - 3
Step-by-step explanation:
4x + 3 + y = 0
y is additive inverse
y = -4x - 3
-4x - 3 + 4x + 3 = 0
0 = 0
cancels out
Do number 9 please thank you
Answer:
82cm
Step-by-step explanation:
ihope it helps thanks
A rectangle has an area of 54 sq. cm and a length of 6 cm. Find its width
Answer:
9 cm
Step-by-step explanation:
A= lw
54=6w
9=w
Answer:
9 cm
Step-by-step explanation:
⇒ Area of rectangle = (L)(B)
Substitute the length, breadth, and the area in the formula:
⇒ Area of rectangle = (L)(B) = 54 cm²
⇒ (6)(B) = 54 cm²
Divide 6 both sides:
⇒ (6)(B)/6 = 54/6 cm²
⇒ B = 9 cm
Thus, the measure of the width is 9 cm.
Hi I could use some help with this, thank u!
Alright let's solve this step by step:
Question 1: Find the perimeter of the baseDefinition of Perimeter: is all the side length of the shapes added up⇒ Perimeter = 6 + 6 + 6 + 6 + 6 + 6 + 11 + 11 = 58 km
Question 2: Height of PrismDefinition of height: is the distance from the base of the figure to the top base of the figure
⇒ Height = 4.3km
Question 3: Lateral AreaDefinition of Lateral Area: area of nonbase face only
⇒ area of the two rectangles on the narrower side of the figure
⇒ plus the area of the pentagon on the wider side of the figure
Area of Pentagon= [tex]\frac{1}{2}(base1+base2)*height = \frac{1}{2} *(6 + 11) *4.3=36.55km^2[/tex]
Area of Rectangle = 6 * 5 = 30 km^2Total Area = 36.55 + 36.55 + 30 +30 = 133.1 km^2
Question 4: Find the area of the base
Area of the two bases = 6 * 6 + 6 * 11 = 36 + 66 = 102 km^2
Question 5: Find the surface area of the figureDefinition of the Surface Area: it is a measure of the total area that the surface of the object occupies
⇒ Surface Area = Lateral Area + Base area = 133.1 + 102 = 205.1 km^2
Hope that helps!
here is a graph of x from 0 to 2 By drawing a second graph on the grid, work out an approximate solution to the simultaneous equation 3x-y=2 and 2x+y=4
Answer:
(1.2, 1.6)
Step-by-step explanation:
Rewrite both equations to make y the subject:
Equation 1: 3x - y = 2
⇒ 3x = 2 + y
⇒ y = 3x - 2
This line has a positive slope.
Equation 2: 2x + y = 4
⇒ y = -2x + 4
This line has a negative slope.
Therefore, the graph that has been plotted is y = 3x - 2
Plotting second graph
Equation of the line: y = -2x + 4
Input x = 0 into the equation and solve to find the y-intercept:
⇒ y = -2(0) + 4 = 4
Therefore, the y-intercept is (0, 4)
Input y = 0 into the equation and solve to find the x-intercept:
⇒ 0 = -2x + 4
⇒ 2x = 4
⇒ x = 2
Therefore, the x-intercept is (2, 0)
Plot the two points (0, 4) and (2, 0), and draw a straight line that passes through them.
The solution to the system is the point of intersection of the two lines. From inspection of the graph, this is (1.2, 1.6)
------------------------------------------------------------------------------------------------
Solving algebraically
Equation 1: 3x - y = 2
Equation 2: 2x + y = 4
Sum the equations to eliminate y:
[tex]\begin{aligned}& 3x - y & = 2\\ +\quad& 2x + y & = 4\\ \cline{1-3}& 5x & = 6\end{aligned}[/tex]
Solve for x:
[tex]\implies x=\dfrac65=1.2[/tex]
Substitute found value of x into one of the equations and solve for y:
[tex]\implies y = 3\left(1.2) - 2=1.6[/tex]
So the solution (point of intersection) of the system of equations is:
(1.2, 1.6)
which expression is eqivalent to 4(9+3)
You could do
36+12
4*12
4*9+12
(4*9)+(3*4)
and many more!
A bag contains 10 marbles: 2 are green, 3 are red, and 5 are blue. Boris chooses a marble at random, and without putting it back, chooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
Answer: 47/90
Step-by-step explanation:
3/10+2/9=47/90 somehow ig
help me with this math question pls
What's the question???
Answer:
Question Please
Step-by-step explanation:
I will solve it
this question is too hard
Answer:
7.50 is the answer to the question
Answer:
$7.50 for 3 bottles of water.
Step-by-step explanation:
It is given that 4 bottles of water costs $10. Find the unit price per bottle of water, by simply dividing 4 from both the bottle of water as well as the cost:
(4 bottles of water/$10)/(4/4) = (1 bottles of water/(10/4)) = 1 bottles of water/2.5
Each bottle costs $2.50
Check. Multiply the unit price per amount of units bought:
2.50 x 4 = 10
Next, find the unit price for 3 bottles. Multiply the unit price with the amount of bottles bought:
$2.50 x 3 = $7.50
$7.50 is your answer.
~
Kaj is flying a kite, holding her hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 33^{\circ}
∘
. If the string from the kite to her hand is 75 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Using trigonometric ratio, the height of the ground above the ground to the nearest hundredth is 44.85 ft
The situation forms a right angle triangle.
What is a right angle triangle?Right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the length of the string is the hypotenuse side of the triangle formed . The opposite side of the triangle is the height of the kite form the ground.
Therefore, the height of the kite form the ground can be found as follows;
sin 33° = opposite / hypotenuse
sin 33° = h / 75
cross multiply
h = 75 × sin 33
h = 40.8479276261
h = 40.84
The height of kite from ground = 40.847 + 3.5 = 44.3479276261 = 44.85 ft
learn more on right triangles here: https://brainly.com/question/25799394
Answer:
44.35
Step-by-step explanation:
i did it
PLEASE HELP I NEED HELP
Answer:
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept:
(
0
,
0
)
x
y
0
0
1
1
please answer quick!! what are the exact values of x and y? i’ll give brainlist
Answer:
x = 20
y = 10√3, or 17.32
10) Ryan plans to borrow $4,500 from the bank to
purchase a used vehicle. If he borrows the money
at a rate of 4% interest for 2 years, what is the
total amount be will have to pay back to the bank?
Ryan will have to make a monthly payment of $195.41
What is the volume of the prism?
N-
cm
1 cm
4 cm
o 1 cm3
O 2 cm3
o 4 cm3
o 8 cm
3
The volume of the prism is 2 cm³.
Option B is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of the prism:
= Base area x height
Now,
Base area = 4 x 1 = 4 cm²
Height = 1/2 cm
Now,
The volume of the prism.
= 4 x 1/2
= 2 cm³
Thus,
The volume of the prism is 2 cm³.
Learn more about prism here:
https://brainly.com/question/12649592
#SPJ7
Solve for x in the parallelogram.
The solution is x=
units.
[tex]\textit{area of a parallelogram}\\\\ A=bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=13\\ A=104\\ h=x \end{cases}\implies 104=(13)(x)\implies \cfrac{104}{13}=x\implies 8=x[/tex]
The principal at Key North Middle School wants to determine if the 85 students in the seventh grade prefer to collect bottles or sell magazines as their yearly fundraiser. Which of the following is a set of people that could be a representative sample of the population?
Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Find the 63rd term of the arithmetic sequence -1, 5, 11, •
Answer:
The 63rd Term Is 309
Step-by-step explanation:
Which of the following is equivalent to (6x^4)(3x^2)?
1.(6*3)x^(4*2)
2.(6+3)x^(4*2)
3.(6*3)x^(4+2)
4.(6+3)x^(4+2)
Answer:
3.
Step-by-step explanation:
remember, when we multiply the same basic term, we add the exponents.
so,
x⁴×x² = x⁶
now, when there are other factors, we need to multiply them in too.
so,
(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondent’s age.
How many people between the ages of 35 and 54 prefer football?
Answer:
the answer is five 5 students prefer football
Please help fast! I have a 10 minutes :(
Maybe 11x? i dont really know, thats all the info we get
7 of 7
Text-to-Speech
7. The area of a rectangle is 84 square meters. The length of the rectangle is 5 meters
shorter than the width. What is the length, in meters, of the rectangle?
А 4
B.7
C 12
D 21
Which of the following situations best completes the following statement:
When subtracting an integer is the same as _____.
multiplying its opposite
subtracting its opposite
adding its opposite
dividing its opposite
Answer:
The answer would be adding its opposite.
Answer:
its subtracting its opposite
Step-by-step explanation:
The area of a rectangle is
3/8 in and the length is 5/8 What is the width?
Answer:
The width W is :
[tex]W=\frac{3}{5}[/tex]
Step-by-step explanation:
Let A be the area of the rectangle
Let L be the length of the rectangle
Let W be the width of the rectangle
______
Formula:
A = L × W
__________
[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]
NEED HELPPPP!!!!!!!!!
Answer:
i think d but i don't know for sure
Which pair shows equivalent expressions?
2x+10=-2(x-5)
-2(x+5)=2x-10
-2x-10=-2(x-5)
-2(x-5)=-2x-10
Answer:
-2(x-5)=-2x-10 = -20
or
-2(x-5)=-2x-10 = 20
A researcher wants to study the math scores of high school students in the state of Florida.
Select all
the samples that are biased.
Send a voluntary on-line questionnaire to all Florida high school students.
Randomly select 2,500 high school students in the state of Florida.
Select all students in 20 schools, selected through random sampling.
Select all students in all Miami high schools.
Using sampling concepts, it is found that these following sample is biased.
Select all students in all Miami high schools.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:
Select all students in all Miami high schools.
More can be learned about sampling concepts at https://brainly.com/question/25122507