Answer:
How many students are in P.E? 90
How many are ONLY in P.E? 62
Step-by-step explanation:
How many students are in P.E?
200 students in 8th grade.
35=drama
75=cooking
200-110=90=PE.
How many are ONLY in P.E?
Within 90 students, 15 is also in drama, with 5 is also in cooking, and 8 is in all of 3. =28.
90-28=62
Hope this helps!
value of k, if (x – 1) is a factor of 4x3
+ 3x2
– 4x + k.
Answer:
k = - 3
Step-by-step explanation:
Given that (x - 1) is a factor of the polynomial then x = 1 is a root
Substitute x = 1 into the polynomial and equate to zero, that is
4(1)³ + 3(1)² - 4(1) + k = 0, that is
4 + 3 - 4 + k = 0
3 + k = 0 ( subtract 3 from both sides )
k = - 3
The table shows the height increases in inches, of some of the girls in Gina’s class from last month to this month. What girl had a height increase that was greater than 1/2 inch?
The correct answer is Maxine
Explanation:
One of the easiest ways for knowing if a fraction is greater than another is by converting fractions to decimal numbers. This implies dividing the numerator (top number) by the denominator (bottom number). In the case of fraction, [tex]\frac{1}{2}[/tex] the decimal number is 0.5 considering 1 divided into 2 is equal to 0.5. Now to know if other fractions are greater or smaller, this process needs to be repeated.
Gina: [tex]\frac{3}{8} = 0.375[/tex]
Maxine: [tex]\frac{2}{3} = 0.666[/tex]
Shari: [tex]\frac{2}{4} = 0.5[/tex]
Vanessa: [tex]\frac{3}{12} = 0.25[/tex]
According to this, the girl with a heigh increased greater than 1/2 inch is Maxine because 0.666 (Maxine heigh increase) is greater than 0.5 (1/2 inch).
Which shape has two sets of parallel sides only? quadrilateral rectangle parallelogram rhombus
9. Write the number in place value table of 820245
Answer:
Hello! The answer to your question will be below.
Step-by-step explanation:
Attached below....
Number form:820,245
Word form: eight hundred twenty thousand two hundred forty-five
Expanded form: 800,000+20,000+0+200+40+ 5
Place value chart below!!
Hope this helps! :)
⭐️Have a wonderful day!⭐️
HELP PLEASEEEE!!!!!
find y-intercept on the graph
Answer:
-4
Step-by-step explanation:
When looking at the graph look at the y axis and look to see where the line passes through
Answer:
-4 is the y intercept.
Step-by-step explanation:
Brainliest? Have a great day!
what is the value of x if e^3+6=8
Answer:
A
Step-by-step explanation:
HELP PLEASE ❤️❤️!!!!!!’
Step-by-step explanation:
your answer is C
HOPE IT HELPS YOU MATE
How does the period of f(x)= cos(2x) relate to the period of the parent function cos x?
Answer:
Both have the same period which is 2π
Step-by-step explanation:
length of a rectangle is 3 times its width.If its perimeter is 24 centimetres what is the area of the rectangle?
Answer:
27 cm²Step-by-step explanation:
The length is 3 × width.
l = 3w
The perimeter is 24 centimeters.
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
3 = w
The width is 3 centimeters.
l = 3(3)
l = 9
The length is 9 centimeters.
Area is l × w.
A = l × w
A = 9 × 3
A = 27
The area is 27 squared centimeters.
Answer:
27
Width= x
Length= x × 3 =3x
so, 3x+3x+x+x=24
8x=24
x=24/8
x=3
so, length=3(3)=9
width=3
therefore,
Area=9×3
=27
Find the product.
(5ab3b) (2ab)
PLEASE HELP!!! ASAP!!!
Answer:
10a²b²6ab²
Step-by-step explanation:
Distribute the 2ab the other values
State the number of possible triangles that can be formed using the given measurements.
Answer: 39) 1 40) 2
41) 1 42) 0
Step-by-step explanation:
39) ∠A = ? ∠B = ? ∠C = 129°
a = ? b = 15 c = 45
Use Law of Sines to find ∠B:
[tex]\dfrac{\sin B}{b}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin B}{15}=\dfrac{\sin 129}{45}\rightarrow \quad \angle B=15^o\quad or \quad \angle B=165^o[/tex]
If ∠B = 15°, then ∠A = 180° - (15° + 129°) = 36°
If ∠B = 165°, then ∠A = 180° - (165° + 129°) = -114°
Since ∠A cannot be negative then ∠B ≠ 165°
∠A = 36° ∠B = 15° ∠C = 129° is the only valid solution.
40) ∠A = 16° ∠B = ? ∠C = ?
a = 15 b = ? c = 19
Use Law of Sines to find ∠C:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \rightarrow\quad \dfrac{\sin 16}{15}=\dfrac{\sin C}{19}\rightarrow \quad \angle C=20^o\quad or \quad \angle C=160^o[/tex]
If ∠C = 20°, then ∠B = 180° - (16° + 20°) = 144°
If ∠C = 160°, then ∠B = 180° - (16° + 160°) = 4°
Both result with ∠B as a positive number so both are valid solutions.
Solution 1: ∠A = 16° ∠B = 144° ∠C = 20°
Solution 2: ∠A = 16° ∠B = 4° ∠C = 160°
41) ∠A = ? ∠B = 75° ∠C = ?
a = 7 b = 30 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{7}=\dfrac{\sin 75}{30}\rightarrow \quad \angle A=13^o\quad or \quad \angle A=167^o[/tex]
If ∠A = 13°, then ∠C = 180° - (13° + 75°) = 92°
If ∠A = 167°, then ∠C = 180° - (167° + 75°) = -62°
Since ∠C cannot be negative then ∠A ≠ 167°
∠A = 13° ∠B = 75° ∠C = 92° is the only valid solution.
42) ∠A = ? ∠B = 119° ∠C = ?
a = 34 b = 34 c = ?
Use Law of Sines to find ∠A:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b} \rightarrow\quad \dfrac{\sin A}{34}=\dfrac{\sin 119}{34}\rightarrow \quad \angle A=61^o\quad or \quad \angle A=119^o[/tex]
If ∠A = 61°, then ∠C = 180° - (61° + 119°) = 0°
If ∠A = 119°, then ∠C = 180° - (119° + 119°) = -58°
Since ∠C cannot be zero or negative then ∠A ≠ 61° and ∠A ≠ 119°
There are no valid solutions.
A pyramid has a square base with sides 8" and a slant height of 5". Total Area = 144 square units 200 square units 224 square units
Answer:
It's 144 square units
Step-by-step explanation:
The pyramid has a square base with 8 sides and a slant height of 5
a=8
l=5
The total are of the square base pyramid is
A= [tex]a^{2}[/tex]+2al
a is side length of square and l is slant height
A= [tex](8)^{2}+2[/tex] x 8 x 5
A=64+80
A=144
What effect will replacing x with (x+7) have on the graph of the equation y=x^2?
A. slides the graph 7 units down
B. slides the graph 7 units right
C. shrinks the graph by a factor of 7
D. Slides the graph 7 units left
Answer:
D
Step-by-step explanation:
Solution:-
- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.
- There are certain guidelines that must be followed when performing any translations of any function f ( x ).
Translation Guideline
Vertical shifts
Up: f ( x ) - > f ( x ) + bDown: f ( x ) - > f ( x ) - bHorizontal shifts
Left: f ( x ) - > f ( x + a ) Right: f ( x ) - > f ( x - a )Where, " a " and " b " are constants for respective horizontal and vertical shifts.
- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:
Generalized shift: f ( x ) - > f ( x ± a ) ± b
Where, a: Unit of horizontal shift
b: Unit of vertical shift
- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).
[tex]f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2[/tex]
- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.
- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )
Answer: The function f ( x ) is slided a = 7 units to the left!
what is the quotient of the rational expression below x^2-25/x-11÷ x^2+10x+25/4x-44
Answer:
The quotient is 4x-20/x+5
Step-by-step explanation:
The quotient is simply the result of the division
Through factorization, can express x^2 -25 as (x-5)(x+5)
Also x^2 + 10x + 25 as (x+5)(x+5)
and lastly 4x-44 as 4(x-11)
Now when we divide, the numerator of the second fraction will come down while the denominator goes up;
So we have ;
x^-25/x-11 * 4x-44/x^2 + 10x + 25
Now, making use of the factorizations, we have ;
(x-5)(x+5)/(x-11) * 4(x-11)/(x+5)(x+5)
Canceling out like factors, we have
= 4(x-5)/(x+5)
A city counsel has a square lot to place a playground. They plan to place a diagonal of trees to create two distinct play areas. To determine if there is enough money in the budget, they needs to know the distance. If the length of each side of the lot is 45 m, how long is the diagonal?
Answer:
66.63
Step-by-step explanation:
To find the diagonal length, use Pythagorean’s theorem.
Diagonal = √45^2 + 45^2 = √2025+2025 = √4050 = 63.63.
Hope this helps
0.90(2.25d + 1.40t + 6).
CHECK THE COMPLETE QUESTION BELOW;
Lindy works at a pizza restaurant and gets a 10% employee discount. She knows that if she orders d drinks and a medium pizza with t toppings, her total cost can be found using this expression: 0.90(2.25d + 1.40t + 6). What is the total cost for Lindy and her friends to order 4 drinks and a medium pizza with 3 toppings? A. $17.28 B. $16.52 C. $15.69 D. $28.40
Answer:
OPTION A. is correct
A)$17.28
Step-by-step explanation:
From the question we were giventhis expression as the total cost for all.
0.90(2.25d + 1.40t + 6).
We know that Lindy and her friends to order 4 drinks and a medium pizza with 3 topping
Then we can say d= 4 and t= 3 ,
Then we can substitute into below expresion
0.90(2.25d + 1.40t + 6).
0.90[2.25(4)+1.40(3)+6]
= 0.90[9+4.2+6]
= 17.8
Hence the total cost for Lindy = $ 17.28
please helllppppp........
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
Which are correct representations of the inequalities 6x>3+4(2x-1)?
select three options.
1st 2nd and last
Step-by-step explanation:
simplify your inequality
6x >= 3 + 4(2x -1)
6x >= 3 + 8x - 4
2x >= 1
x >= 1/2
so indeed the
1st one , the 2nd and the last one
first, second, last
Hope it helps
Please answer this question now
Answer:
k=180-23-90=67...................
Answer:
< k = 67°
Step-by-step explanation:
HJ tangent to HG => < H = 90°
< K = 180° - (<J + <H)
= 180° - (90° + 23°)
= 180° - 113°
= 67°
Please help it’s urgent
[tex]\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]
Step-by-step explanation:
[tex].\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]
On a pice of paper graph Y + 2 > -3x - 3
Answer:
Copy this onto a piece of graph paper
Step-by-step explanation:
when graphing you want to make sure that the slope is correct and the y-intercept is the same
easy question i will mark braineliest
Answer:
0.67Step-by-step explanation:
[tex]5(y - 3.8) = 4.7(y - 4)[/tex]
Distribute 5 through the parentheses
[tex]5y - 19 = 4.7(y - 4)[/tex]
Distribute 4.7 through the parentheses
[tex]5y - 19 = 4.7y - 18.8[/tex]
Move ' 4.7 y ' to L.H.S and change it's sign
[tex]5y - 4.7y - 19 = - 18.8[/tex]
Move constant to R.H.S and change it's sign
[tex]5y - 4.7y = - 18.8 + 19[/tex]
Collect like terms
[tex]0.3y = - 18.8 + 19[/tex]
Calculate
[tex]0.3y = 0.2[/tex]
Divide both sides of the equation by 0.3
[tex] \frac{0.3y}{0.3} = \frac{0.2}{0.3} [/tex]
Calculate
[tex]y = 0.67[/tex]
Hope this helps...
Best regards!!
Answer:
[tex]y = 0.67[/tex] (To 2 dps)
y = 0.7 (To 1 dps)
y = 1 (To nearest whole no.)
Step-by-step explanation:
[tex]5(y-3.8) = 4.7 (y-4)[/tex]
Distribute the terms
[tex]5y - 19 = 4.7y-18.8[/tex]
Combining like terms
[tex]5y - 4.7y = -18.8+19[/tex]
Adding and subtracting
[tex]0.3y = 0.2[/tex]
Dividing both sides by 0.3
[tex]y = 0.2/0.3[/tex]
[tex]y = 0.67[/tex]
Solve for the roots in simplest form using the quadratic formula:
4x2 – 12x = -5
Answer:
x=2.5&.5
Step-by-step explanation:
The quadratic formula is (-b+or-sqrt(b^2-4ac)/2a
12+or-sqrt((-12^2)-4(4)(5))
12+or-sqrt(144-80)
12+or-sqrt(64)
(12+8)/8 and (12-8)/8
x=2.5 and x=.5
Answer: [tex]x=\frac{5}{2},\:x=\frac{1}{2}[/tex] or [tex]x=2.5,\:x=0.5[/tex]
Step-by-step explanation:
[tex]4x^2-12x=-5[/tex]
[tex]\mathrm{Add\:}5\mathrm{\:to\:both\:sides}[/tex]
[tex]4x^2-12x+5=-5+5[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x^2-12x+5=0[/tex]
Solve with Quadratic Formula
[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]a=4,\:b=-12,\:c=5:\quad x_{1,\:2}=\frac{-\left(-12\right)\pm \sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}[/tex]
[tex]\frac{-\left(-12\right)+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]\frac{12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}}{2\cdot \:4}[/tex]
[tex]12+\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=12+\sqrt{64}[/tex]
[tex]\sqrt{\left(-12\right)^2-4\cdot \:4\cdot \:5}=\sqrt{64}[/tex]
[tex]\sqrt{64}=8[/tex]
[tex]=\frac{12+8}{8}[/tex]
[tex]=\frac{20}{8}[/tex]
[tex]=\frac{5}{2}[/tex]
[tex]x=\frac{5}{2},\:x=\frac{1}{2}[/tex]
819 : 17 =?
Write your answer as a whole number and remainder.
R
Answer:
117 R=0
Step-by-step explanation:
819:7= 117 R=0
-4x-7+10x=-7+6x−4x−7+10x=−7+6xminus, 4, x, minus, 7, plus, 10, x, equals, minus, 7, plus, 6, x Choose 1 answer: Choose 1 answer: (Choice A) A No solutions (Choice B) B Exactly one solution (Choice C) C Infinitely many solutions
Answer:
(Choice C) C Infinitely many solutions.
Step-by-step explanation:
First of all, let us learn about solutions of linear equations in one variable.
The linear equations in one variable usually have one solution.
For example:
[tex]2x =x+3[/tex]
When we solve this:
[tex]2x-x=3\\\Rightarrow x=3[/tex]
One solution is [tex]x = 3[/tex]
But there can be situations when there are
1. No solutions:
For example:
[tex]x =x+9[/tex]
It means that value x is equal to value of x+9 which can never be true.
Truth is the term on Right Hand Side is always 9 greater than the value of Left Hand Side.
Such situations are called Contradictions.
Here, no solution exists.
2. Infinitely many solutions:
For example:
[tex]x+2x+8=3x+8[/tex]
The Right hand Side is just the simplification of the LHS.
And LHS is always equal to RHS no matter what is the value of variable [tex]x[/tex].
It means there are infinitely many solutions for this equation.
-----------------------------------------------------
Now, let us have a look at the given equation in the question:
[tex]-4x-7+10x=-7+6x[/tex]
Taking LHS: [tex]-4x-7+10x[/tex]
Taking the terms with [tex]x[/tex] on one side:
[tex]-7+10x-4x\\\Rightarrow -7+6x[/tex]
which is equal to Right Hand Side.
Hence, as we discussed in case 2 above.
For every value of [tex]x[/tex] the equation holds true.
[tex]\therefore[/tex] There exists infinitely many solutions to the given equation.
Correct answer is:
(Choice C) C Infinitely many solutions
Answer:
C Infinitiy solutions
Step-by-step explanation:
Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
What is the solution to this equation? 8 - 5(x - 3) = 18
Answer:
x = 1
Step-by-step explanation:
Given
8 - 5(x - 3) = 18 ( subtract 8 from both sides )
- 5(x - 3) = 10 ( divide both sides by - 5 )
x - 3 = - 2 ( add 3 to both sides )
x = 1
Simplify (2^3)^–2. PLEASE I NEED HELP U WILL GET 10 POINTS
Answer:
I won't give you the answer straight away so you take the time to read my answer and understand
Step-by-step explanation:
We knoe that 2 to the third is 8. when you square to a negative power, you do squaring normally, and then take the reciprocal of that number. so 8 to the second power is 64, and we flip it over, sp the answer is 1/64
Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)
Answer:
[tex]\frac{x^2}{16}-\frac{b^2}{4}=1[/tex]
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1[/tex]
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4[/tex]
The foci c is at +/-2√5, using c² = a² + b²:
[tex]c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2[/tex]
Substituting the value of a and b to get the equation of the hyperbola:
[tex]\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\\\frac{x^2}{16}-\frac{b^2}{4}=1[/tex]