Answer: y = 3 or y=7
Step-by-step explanation:
[tex]y^{2} -10y+21[/tex]
what 2 factors of 21 can equal 10 when added together (1*21- no 3*7- yes)
Factor
[tex](y-3)(y-7)[/tex]
y-3=0
y=3
or y-7=0
y=7
The perimeter of a rectangular plot of land for a new housing development is 270 m.
The width of the site is 60 m.
Calculate the length of the building site.
The length of the building site is 75 meters.
To calculate the length of the rectangular plot of land, we can use the formula for the perimeter of a rectangle, which is given by:
Perimeter = 2 * (Length + Width)
In this case, the width is given as 60 m, and the perimeter is given as 270 m. We can substitute these values into the equation and solve for the length.
270 = 2 * (Length + 60)
Dividing both sides of the equation by 2 gives:
135 = Length + 60
Subtracting 60 from both sides of the equation gives:
Length = 135 - 60
Length = 75
It's important to note that the length of the building site is specific to this particular rectangular plot of land with a given width and perimeter. If the width or perimeter were to change, the length would also change accordingly. Additionally, this calculation assumes that the shape of the plot is a rectangle and that the perimeter only includes the sides of the plot, not any internal structures or obstacles.
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A glass has 6/8 cup of water. If Jack pours out 3/8 cup of the water, how much water will be left?
Answer:
3/8
Step-by-step explanation:
........ur welcome.........
6/8 - 3/8
Answer:
3/8
Step-by-step explanation:
6/8-3/8 =38 your welcome guys;)
Please someone help me with this!!!
Find the indicated term of the given geometric sequence.
a1 = –5, r = 5, n = 5
Answer:
a₅ = -3125
Step-by-step explanation:
Given that,
a₁ = -5, r = 5 and n = 5
The geometric sequence is given by :
[tex]a_n=a_1\cdot r^{n-1}[/tex]
Put all the values,
[tex]a_5=-5\times 5^{5-1}\\\\=-5\times 5^4\\\\=-3125[/tex]
So, the fifth term is equal to -3125.
Hunter has a rectangular prism with a volume of 1,155 cubic cm. He measures the length of the prism as 5 1/2 cm and the width of the prism as 10 1/2 cm.
The height of Hunter’s rectangular prism must be
Answer:
John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which fffadasdequation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team. He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered. Which equation can be used to find y, the total cost to buy xshirts? vv
Step-by-step explanation:
Find the greatest common factor of 10, 30, and 45.
Answer:
5
Step-by-step explanation:
∴ The greatest number that divides 10, 30, and 45 is [tex] { \underline{ \boxed{ \orange{ \tt{5}}}}} [/tex]
Hope it help ;)
Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small
Answer:
a) Any sample statistic used to approximate a population parameter.
Step-by-step explanation:
An unbiased estimator is any sample statistic used to approximate a population parameter.
In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.
If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.
That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.
questions number 1
How much paper is used for the label of the container, which covers the lateral surface area of the cylinder? Round your answer to the nearest tenth.
question number 2
what volume of oats will fill the container? Round your answer to the nearest tenth.
9514 1404 393
Answer:
145.3 square inches
Step-by-step explanation:
The lateral area of the cylinder is given by ...
LA = 2πrh
LA = 2π(2.5 in)(9.25 in) = 46.25π in²
LA ≈ 145.3 in²
About 145.3 square inches of paper is used for the label.
please help and i’ll gift brainly!!!! thank you!
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.
Cost of item: $52
Selling price: $71.97
Answer:
Amount of Tax = $19.97
Tax Rate = 28%
Step-by-step explanation:
Amount of Tax = $71.97 - $52 = $19.97
Tax Rate = 19.97/71.97 × 100
= 0.28 × 100 = 28%
Pls help on this question and no bitly please. Also 15 points
Answer:
B
Step-by-step explanation:
elimination
4x - y = 8
6x + y = 2
--------------- +
10x = 10
x = 1
since x = 1, we can subtitute x to one of those equations
4x - y = 8
4(1) - y = 8
4 - 8 = y
y = 4 - 8
y = -4
x,y = 1,-4
Answer:
B is correct
Step-by-step explanation:
you add the two equations together. So 4x + 6x equals what? 10x. we know that y and -y cancel each other out. and then we all know that 8+2 is 10. now we have 10x=10 so x=1. We replace x for one and then we have 4 - y =8 so y has to equal -4 and there you have your answer, b
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
B) Angle 2 and Angle 3
Step-by-step explanation:
Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary
Angle 7 and 8 are supplementary
Angle 1 and 7 are supplementary
Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.
Identify the y-intercept in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. -2
Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
b = 2
Answer:
since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept
Can someone please help thx:)
Answer:
x = 35
Step-by-step explanation:
Angles sum of a triangle = 180
That being said we want to create an equation to solve for x
180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )
now we solve for x
step 1 combine like terms
2x + x = 3x
90 - 7 - 8 = 75
now we have 180 = 75 + 3x
step 2 subtract 75 from each side
180 - 75 = 105
75 - 75 cancels out
Now we have 105 = 3x
step 3 divide each side by 3
105 / 3 = 35
3x/3=x
we're left with x = 35
Solve the following exponential equation. Round to the nearest thousandth place (3 decimal places)
5^3x+7 =311
Answer:
x= 2.432
Step-by-step explanation:
3/4(5a - 16)- 1/3(6a-3)
Answer:
If you want an expression answer (Simplify):
= 7/4a - 11
If you want an answer to the variable a (Find 'a'):
7/4a - 11 = 0
7/4a = 11
a = 44/7
Step-by-step explanation:
3/4(5a - 16) - 1/3(6a - 3)
= 15/4a - 12 - 2a + 1
= 7/4a - 11
Given: f(x) = x2 and g(x) = x +1, find g[f(-2)].
1
5
-3
Step-by-step explanation:
what number does the unknown stands for
Answer:
is 1
Step-by-step explanation:
(-2+1)^2 is 1
Question 2 of 10
Which equation matches the graph shown?
O A.y-5= -2(x – 3)?
OB. y-3= }(x+3)?
O c. y+5 = {(x – 3)?
O D. y+3=-{(x – 3)?
Answer:
a
Step-by-step explanation:
Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?
Answer:
$632
Step-by-step explanation:
Set up an equation:
$30(20 hours) + ($400 × 0.08)
$600 + $32
$632
Does anyone know the answer to this?
An angle turns through 2/6 of a circle. What is the measure of the angle?
Step-by-step explanation: coxhck dewmsaksak sadjnsajmksa
What is the area of the triangle?
Answer:
The formula to find a triangle is (L+W)/2
Step-by-step explanation:
Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20
Answer:
-18, |-17|, |-18|, |19|, 20
Step-by-step explanation:
the absolute value of -17 is 17, the absolute value of -18 is 18, and the absolute value of 19 is just 19. Absolute values are never negative.
Hope this helps!
PLEASE HELP ME TO SOLVE THIS QUESTION WITH STEP-BY-STEP. THANK YOU!!!
Answer:
A) 12 thousand packets a day
B) 384 thousand Sen
Step-by-step explanation:
If the total is 72 thousand a week and the factory only operates 6 days, then you do 72 thousand / 6 to get 12 thousand, the packets made in one day.
To get b, all you have to do is do 32 Sen X 1w thousand to get the value of all the packets of chips
Solve for a Chocolate Chip Cookie!
Answer:
Hi! The answer to your question is x=-2 and y=3
Step-by-step explanation:
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Hope this helps!!
- Brooklynn Deka
Answer:
x= 4-2y and y= 2- 1/2x
now gimme my cookie
22% of _ peaches is 11 peaches
Finnhas$60inasavingsaccount.Theinterestrateis10%peryearandisnotcompounded.Howmuchinterestwillheearnin1year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
I = $ 6.00
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 10%/100 = 0.1 per year,
then, solving our equation
I = 60 × 0.1 × 1 = 6
I = $ 6.00
The simple interest accumulated
on a principal of $ 60.00
at a rate of 10% per year
for 1 years is $ 6.00.
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
Answer:
The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0
Step-by-step explanation:
https://studio.code.org/projects/flappy/cYGc2S_X9-cgWtBUmJ5BJta5xku7iqyon0wzrKhC-Do
Answer:
so fun and amazing!
Step-by-step explanation:
A student purchased 9 binders for $11.07.
Solve the equation to determine the cost, in dollars, for each binder.
$
Answer:
$1.23
Step-by-step explanation:
9 binders for 11.07, where x = num of binders
9x = 11.07 [Divide both sides by 9]
x = $1.23
Answer:
each binder costs $1.23
Step-by-step explanation:
$11.07 divided by 9 equals $1.23
a triathlon event in which participants run,bike, and swim certain distances is mapped out in a triangle as shown below.
Answer:
A
Step-by-step explanation:
The statement 'the bike distance is greater than the run distance.' must be true.
The correct answer is option D.
What is distance?"It is the length of the line joining the two points."
Angle properties:In any triangle,
the smallest side and smallest angle are opposite one another. the mid-sized side and mid-sized angle are opposite one another.the largest side and largest angle are opposite one another.For given example,
We have given two angles of triangle.
65° and 57°
We know, the sum of all angles of triangle is 180°.
Let 'x' be the remaining angle.
⇒ x + 65° + 57 = 180°
⇒ x +122° = 180°
⇒ x = 58°
We know,
In any triangle,
- the smallest side and smallest angle are opposite one another.
- the mid-sized side and mid-sized angle are opposite one another.
- the largest side and largest angle are opposite one another.
Here,
57° < 58° < 65°
⇒ Run < Bike < Swim
This means, the statement 'the bike distance is greater than the run distance.' is correct.
The correct answer is option D.
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