Answer:
[tex]a2 + bc - ac - ab[/tex]
between which to whole numbers does the square root of 37 lie?
Between 6 and 7
6×6=36
7×7=49
hopefully this helped
The number √37 is lies between whole numbers 6 and 7.
We have to given,
A number is, √37
By the definition of square root, we get;
⇒ √37 = 6.08
And, We know that,
Number 6.08 is lies between whole number 6 and 7.
Hence, We get;
⇒ 6 < √37 < 7
Therefore, The number √37 is lies between whole numbers 6 and 7.
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factor y=2x^2+10x+12
Answer:
y=2(x+2)(x+3)
Step-by-step explanation:
First, we need to factor the right side:
y=2(x^2+5x+6)
Now, we can have an incomplete equation like this:
y=2(x+_)(x+_)
In the blanks, we need to fill out numbers that add to be 5 and multiply to be 6. What are factors of 6? 6 and 1, 2 and 3. Do 6 and 1 add to be 5? No. Do 2 and 3 add to be 5? Yes!
So, our factored form is
y=2(x+2)(x+3)
1.01 LC)Look at the following numbers: − 4, −1, 0, 4 Which pair of numbers has a sum of 0?
Answer:
-4 + 4
Step-by-step explanation:
It is -4 + 4 because if you imagine on a number line, you go left 4 (since it is negative) and add 4, so you go to the right 4, which leaves to 0.
Or, you can think of it like this:
+4 - 4
= 4 - 4
= 0.
I hope this helps. Sorry if I was wrong
Answer:
the answer would be -4 and 4 thess two numbers has a sum of 0
Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles? 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 6 positive x-tiles and 5 positive unit tiles on the left side; 3 negative x-tiles and 4 positive unit tiles on the right side 5 positive x-tiles and 6 negative unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 positive unit tiles on the right side
Answer:
answer a is correct
Step-by-step explanation:
Answer: A. 5 positive x-tiles and 6 positive unit tiles on the left side; 4 positive x-tiles and 3 negative unit tiles on the right side
Step-by-step explanation: On Edge!!!!!!!!!!!
evaluate 2x squared -1 when x=3
Hey there! :)
Answer:
17.
Step-by-step explanation:
Given:
f(x) = 2x² - 1
Substitute in 3 for x:
f(3) = 2(3)² - 1
f(3) = 2(9) - 1
Simplify:
f(3) = 18 - 1
f(3) = 17.
solve with ans : the compound interest of a sum of money in 1 years and 2 years are Rs 450 and Rs 945 respectively. find the rate of interest compounded yearly and the sum .
Answer:
The rate of interest compounded yearly =10%The sum compounded is Rs4,500Step-by-step explanation:
Compound Interest Formula, Amount, [tex]A(n)=P(1+r)^n[/tex]
Interest=Amount - Principal
[tex]I=P(1+r)^n-P[/tex]
At the end of 1 year, interest =Rs450, therefore:
[tex]450=P(1+r)-P\\450=P+Pr-P\\450=Pr[/tex]
At the end of 2 years, interest =Rs945, therefore:
[tex]945=P(1+r)^2-P\\945=P(1+r)(1+r)-P\\945=P(1+r+r+r^2)-P\\945=P(1+2r+r^2)-P\\945=P+2Pr+Pr^2-P\\945=2Pr+Pr^2[/tex]
Recall: Pr=450
Therefore:
[tex]945=2(450)+Pr^2\\945-900=Pr^2\\Pr^2=45[/tex]
Comparing Pr=450 and [tex]Pr^2=45[/tex]
[tex]\dfrac{Pr^2}{Pr}= \dfrac{45}{450}\\r=0.1[/tex]
Substitute r=0.1 to obtain P
0.1P=450
P=Rs4500
Therefore:
The rate of interest compounded yearly =0.1=10%The sum compounded is Rs4,500fractorise the following (a-b)²+(a-b)
Step-by-step explanation:
taking common (a-b)
so we get the answer
Write the rule for finding the coordinates of a point that has undergone a dilation (with the origin as the point of dilation). Use this rule to find the coordinates of this point's dilation from the origin, with a scale factor of 3: (4, 10).
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
ok I need help with this cylinder volume thing
ok so the volume is 20litres and the diameter is 13.5 but I need to find the length value. Length value needs to be in metres
Answer:
h = 0.139725
Step-by-step explanation:
Volume of a Cylinder Formula: V = πr²h
You are given V = 20 and r = 6.75.
20 = π(6.75)²h
20/45.5625π = h
h = 0.139725
I'm not sure if this is correct or not.
Answer:
≈1.4 m
Step-by-step explanation:
V= 20 l= 20 000 cm³
d= 13.5 cm ⇒ r= 13.5 cm / 2= 6.75 cm (assume it is cm)
V= πr²h
h= V/πr²= 20000/3.14*6.75² ≈ 140 cm= 1.4 m
ayuda porfa se ruego :b
Answer:
b) 5u.
Step-by-step explanation:
El triangulo es 45-45-90, entonces los dos lados son iguales. Si un lado es 8u, el otro lado tambien es 8u.
Entonces, 8u + x = 13u.
x = 13u - 8u
x = 5u
Espero que esto te ayude!
What are the values of sin α and tan α, if α is an acute angle in a right triangle: cosα= 5/13
Answer:
sin = 12/13 and tan = 12/5
The value of sin α will be 12/13 and tan α will be 12/5 for the given triangle such that cosα= 5/13.
What is a trigonometric function?Trigonometric functions are functions for right angle triangle which gives the relation between the angle and sides of the triangle.
The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.
The trigonometric functions are found in the four quadrants, as well as their graphs, domains, and differentiation and integration.
We know that
sin²α + cos²α =1 ⇒ sin²α = 1 - cos²α
Given that cosα = 5/13 so by putting it
sin²α = 1 - (5/13)²
sin²α = 144/169 ⇒ sinα = 12/13.
Now since tanα = sinα /cosα
tanα = (12/13) ÷ ( 5/13)
tanα = 12/5.
Hence the value of sinα will be 12/13 and tanα will be 12/5.
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solve for x -48=6(x-3)
Answer:
[tex]\boxed{x = -6}[/tex]
Step-by-step explanation:
[tex]x-48 = 6(x-3)[/tex]
Resolving parenthesis
[tex]x - 48 = 6x-18[/tex]
Adding 18 to both sides
[tex]x-48+18 = 6x\\x-30 = 6x[/tex]
Subtracting x from both sides
[tex]-30 = 6x-x\\-30 = 5x[/tex]
Dividing both sides by 5
[tex]-30/5 = x[/tex]
[tex]-6 = x\\[/tex]
OR
x = -6
Answer:
x = - 6Step-by-step explanation:
x - 48 = 6(x - 3)
Expand the terms in the bracket
That's
x - 48 = 6x - 18
Group the constants at the right side of the equation and the ones with variables at the left side
x - 6x = 48 - 18
- 5x = 30
Divide both sides by - 5
x = - 6Hope this helps you
What is the value for y? Enter your answer in the box. y = An isosceles triangle A B C with horizontal base A B and vertex C is below the base. Side A C and C B are labeled with single tick mark. All the three angles are labeled. Base angles C A B is labeled as 34 degrees and angle C B A is labeled as left parenthesis x minus 5 right parenthesis degrees. The angle A C B is labeled as 4y degrees.
Answer:
28.
Step-by-step explanation:
I just did the question and I got it right. The answer above is right. The image below is where I did the question and has the picture attached next to it too.
*And I accidentally clicked the one star option, that's why it has such a low score.
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
The value of y is 28.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
An isosceles triangle is a triangle where two sides are equal and the angles opposite to the sides are also equal.
m∠CAB = 34
m∠CBA = x - 5
m∠ACB = 4y
Triangle ABC is an isosceles triangle.
AC and BC are sides are equal.
This means,
m∠CAB = m∠CBA
34 = x - 5
34 + 5 = x
x = 39
Now,
The sum of the angles in a triangle is 180 degrees.
This means,
34 + (x -5) + 4y = 180
34 + (39 - 5) + 4y = 180
34 + 34 + 4y = 180
68 + 4y = 180
4y = 180 - 68
y = 112 / 4
y = 28
We can cross-check.
34 + 34 + 4 x 28 = 180
34 + 34 + 112 = 180
180 = 180
Thus,
The value of y is 28.
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Simple and easy question
please help
Answer:
Volume = πr²h
= 3.14 * 5² * 4
= 314 cubic yards
Answer:
[tex]314 yd^3[/tex]
Step-by-step explanation:
Hey there!
Volume = π r^2 h
Plug in,
(3.14)(5^2)(4)
5•5 = 25
25 • 4 = 100
3.14 • 100
= 314
Hope this helps :)
Alexa wants to have a bowling average of at least 210. If her scores are 230, 185, and 195, what does she need to score on her fourth game? Which inequality best represents the situation?
Step-by-step explanation:
so her minimum 4th score is calculated this way:
[tex] \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230[/tex]
so in round four
her score should be x in the way that:
x≥230
3/4, 1, 4/3, 16/9,... which of the following are recursive formulas for the nth term of the following geometric sequence?
Answer:
nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]
Step-by-step explanation:
nth term of geometric sequence = a(n)
nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]
Where,
a = first term
r = common ratio
n = number of term
So,
GP: 3/4, 1, 4/3, 16/9
a = 3/4
r = 1 / [3/4] = 4/3
n = n
nth term of geometric sequence = a(n) = [tex]ar^{n-1}[/tex]
nth term of geometric sequence = a(n) = [tex](3/4)(4/3)^{n-1}[/tex]
PLEASE help me with this question!!!!!!
Answer:
270[tex]\sqrt{3}[/tex] cm³
Step-by-step explanation:
A regular hexagon can be cut into 6 equilateral triangles.
The area (A) of an equilateral triangle can be calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ← where s is the side length, here s = 6
A = [tex]\frac{6^2\sqrt{3} }{4}[/tex] = 9[tex]\sqrt{3}[/tex] cm² ← multiply by 6
area of base = 6 × 9[tex]\sqrt{3}[/tex] = 54[tex]\sqrt{3}[/tex] cm²
The volume (V) of the prism is calculated as
V = area of base × height = 54[tex]\sqrt{3}[/tex] × 5 = 270[tex]\sqrt{3}[/tex] cm³
Simplify the radical /81d^6.
O 9d2
81d3
O 9d3
O 906
Answer:
The answer is option C.
Step-by-step explanation:
[tex] \sqrt{ {81d}^{6} } = \sqrt{81} \times \sqrt{ {d}^{6} } \\ = 9 {d}^{3} [/tex]
Hope this helps you
Answer:c
Step-by-step explanation:
Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.
Answer:
1/6
Step-by-step explanation:
An experimental probability is the number of times an event occurred when actually attempted.
So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:
60-50 = 10.
So, the probability of picking a painted ball = 10/60 = 1/6
Hope this helps
express 1120 product of powers of its prime factors
Answer:
5x2x2x2x2x7x7
Step-by-step explanation:
First list all of the prime factors of 1120. You can do this by drawing a factor tree.
The results are:
5,2,2,2,2,7,7
To make 1120 a product of its prime factors, we just have to write it in the form:
5x2x2x2x2x7x7
Hope this helps
What is the average rate of change for this exponential function for the
interval from x=2 to x= 4?
a.-6.
b.6
c.12
d.-12
Answer:
The correct answer is:
b. 6
Step-by-step explanation:
We are given the graph of an exponential function.
We have to find the average rate of change for this exponential function from x = 2 to x = 4.
First of all, let us plot the point on the graph on the points x = 2 and x = 4.
Please refer to the attached diagram.
We can easily find that the value of y at x = 2 is 4.
the value of y at x = 4 is 16.
[tex]\therefore[/tex] the coordinates are (2, 4) and (4, 16).
Let the points be A(2, 4) and B(4, 16)
Now, let us find the average rate of change for exponential function i.e. change in value of y divided by change in value of x from x = 2 to x = 4:
Formula:
[tex]\text{Average rate of change = } \dfrac{\text{Change in y coordinate}}{\text{Change in x coordinate}}[/tex]
[tex]\Rightarrow \dfrac{16-4}{4-2}\\\Rightarrow \dfrac{12}{2}\\\Rightarrow 6[/tex]
So, correct answer is option b. 6
PLEASEEE HELPPP IT DUE TODAYYY
Answer:
All angles in a rectangle are congruent, because in a rectangle, all angles are 90 degrees.
Which explains how to find the radius of a circle whose equation is in the form x2 + y2 = z? The radius is the constant term, z. The radius is the constant term, z, divided by 2. The radius is the square root of the constant term, z. The radius is the square of the constant term, z.
Answer:
The radius is the square root of the constant term, z
Step-by-step explanation:
makes sense, also took the test :)
Answer:
C. The radius is the square root of the constant term, z.
Step-by-step explanation:
Hope this helps :)
Point AAA is at {(-6,-5)}(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and point CCC is at {(4,0)}(4,0)left parenthesis, 4, comma, 0, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that the ratio of ABABA, B to BCBCB, C is 2:32:32, colon, 3.
Answer:
B(-2,-3).
Step-by-step explanation:
The given points are A(-6,-5) and C(4,0).
We need to find the coordinates of point B on segment AC such that AB:BC=2:3.
It means point B divides the line segment AC in the ratio of 2:3.
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Using section formula, the coordinates of point B are
[tex]B=\left(\dfrac{2(4)+3(-6)}{2+3},\dfrac{2(0)+3(-5)}{2+3}\right)[/tex]
[tex]B=\left(\dfrac{8-18}{5},\dfrac{0-15}{5}\right)[/tex]
[tex]B=\left(\dfrac{-10}{5},\dfrac{-15}{5}\right)[/tex]
[tex]B=\left(-2,-3\right)[/tex]
Therefore, the coordinates of point B are (-2,-3).
Answer:
Therefore, the coordinates of point B are (-2,-3).
Step-by-step explanation:
Three angles fits exactly around a point. Two of the angles are equal.The diffrence between the largest and the smallest angle is 30.Find the size ofthe three angles
Answer:
The angles are 110, 110 and 140
Step-by-step explanation:
Let the equal angles be x.
So we have angles x, x and another third one
Now, the other third angle is 30 degrees larger than x, this means that the other third angle is 30 + x
Since they are angles at a point, adding the three together will make or give 360.
Thus,
x + x + x + 30 = 360
3x + 30 = 360
3x = 360-30
3x = 330
x = 330/3
x = 110
So the other third angle is 110 + 30 = 140
So the angles are 110, 110 and 140
.Write the following number in the standard form. a) 0.000000012
Answer:
[tex]1.2 * 10 ^{-8}[/tex]
Step-by-step explanation:
=> 0.000000012
Moving the decimal point after 1st non-zero digit:
=> [tex]1.2 * 10 ^{-8}[/tex]
Answer:
Scientific Notation: 1.2x10^-8, or 1.2e-8
Step-by-step explanation:
Which is the graph of f(x)=sqrt x?
Answer:
B
Step-by-step explanation:
a parabola would be x2 since it is square rooted it would be a curved so the answer would be the second graph
Sheila plans to row across the lake from point A to point B as shown below.
To determine how far she will have to row, she has chosen a point Cand
calculated the labeled data. How many miles will she have to row? Round
your answer to two decimal places.
12.3 miles
15.6 miles
66.7°
Answer: 15.58 miles
Step-by-step explanation:
Given two sides and an included angle, segment AB can be calculated using the cosine rule :
Given a = 15.6 miles, b = 12.3 miles and C=α=66.7°
To find c:
c= √(a^2+b^2-2abcosα
c = √ 15.6^2 + 12.3^2 -(2 × 15.6 × 12.3)cos66.7°
c = √243.36 + 151.29 - 151.79454
c = √242.85545
c = 15.583820
c = 15.58 miles
Answer:
13.56
Step-by-step explanation:
hope that helps
$15.30 for 3 small pizzas
Answer:
$5.1
Step-by-step explanation:
If it costs $15.30 for 3 pizzas, then we can divide 15.30 by 3 to get $5.1. This concludes that the cost for one pizza is $5.1.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
The company recently reduced its production to 1 million bicycles, but maintained its profit of 30 million dollars. What greater number of bicycles had the company previously produced to make the same profit? Round your answer to the nearest tenth.
Answer:
1.3 million bicycles!
Step-by-step explanation:
Answer:
1.3 million bicycles
Step-by-step explanation:
got it right on edge 2020