Answer:
8(3+8)
Step-by-step explanation:
The distributive property of multiplication states that
A(B+C) = A* B + A* C
Here, we can say that
8(3+8) = 8*3 + 8* 8 = 24 + 64. This seems correc,t but we can check the other options to make sure
6(4 + 8) = 6 * 4 + 6*8 = 24 + 48. This is incorrect
24 + (8)(8) . The 24 and 8 are not in the same parenthesis, so we cannot multiply them. Using PEMDAS, we multiply first, so 24+(8)(8) = 24 + 8*8 = 24 + 64. If there are multiple solutions, this can work. If not, this does not use the distributive property as we are not adding anything in the parenthesis.
Similarly, for (2)(12) + (8)(8), we are not adding anything in the parenthesis, but we can use PEMDAS to get 2*12 + 8*8 = 24 + 64, so this would also work but does not use the distributive property.
Describe the relationship between quartiles and percentiles. ▼ are special cases of ▼ ▼ Upper Q 2 Upper Q 3 Upper Q 1 is the 25th percentile, ▼ Upper Q 2 Upper Q 1 Upper Q 3 is the 50th percentile, and ▼ Upper Q 2 Upper Q 3 Upper Q 1 is the 75th percentile.
Answer:
Q1 is the 25th percentile
Step-by-step explanation:
Quartiles are known to be one-fourth of an entity, that is, 1/4th with the whole evaluating to 1. The numerator cannot exceed four, as the division compares an item in an entity to the whole of the entity or sample.
Percentiles represents a whole entity as a 100 with the symbol "%" which denote its use.
The first quartile is 25th percentile, the second is the 50th percentile, the third is the 75th percentile while the fourth quartile which is 4/4 is the 100th percentile mark.
6) 8x+y=-16
-3x+y=-5
Solve each system by elimination?
Answer:
x=-2.2 y=-1.6
Step-by-step explanation:
8x+y=-16
-3x+y=5
5x=-11
x=-11/5 or -2.2
-3x+y=5
-3(-2.2)+y=5
6.6+y=5
-6.6+y=-6.6
y=-1.6
Answer:
(−1, −8)
Step-by-step explanation:
(8x+y=−16)−1(−3x+y=−5)Becomes:8x+y=−163x−y=5Add these equations to eliminate y:11x=−11Then solve11x=−11for x:11x=−1111x11=−1111(Divide both sides by 11)x=−1
Now that we've found x let's plug it back in to solve for y.Write down an original equation:8x+y=−16Substitute−1forxin8x+y=−16:(8)(−1)+y=−16y−8=−16(Simplify both sides of the equation)y−8+8=−16+8(Add 8 to both sides)y=−8
Choose all true statements.
All real numbers are rational numbers.
Some rational numbers are natural numbers.
No real numbers are irrational numbers.
All whole numbers are integers.
Some integers are natural numbers.
No rational numbers are integers.
Answer:
- All real numbers are rational numbers. FALSE
- Some rational numbers are natural numbers. TRUE
- No real numbers are irrational numbers. FALSE
- All whole numbers are integers. TRUE
- Some integers are natural numbers. TRUE
- No rational numbers are integers. FALSE
Answer: B,D, and E
Step-by-step explanation:
A. All real numbers are rational numbers.
B. Some rational numbers are natural numbers
C.No real numbers are irrational numbers.
D.All whole numbers are integers.
E. Some integers are natural numbers.
F. No rational numbers are integers.
Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.
Answer:
The slope is -3/4 and the y intercept is 5
Step-by-step explanation:
- 3x - 4y= -20
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
Solve for y
Add 3x to each side
- 3x - 4y+3x=3x -20
-4y = 3x-20
Divide by -4
-4y/-4 = 3x/-4 -20/-4
y = -3/4 x+5
The slope is -3/4 and the y intercept is 5
Answer:
Slope: [tex]\displaystyle-\frac{3}{4}[/tex]
Y-intercept: 5
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.
[tex]-3x-4y=-20[/tex]
To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.
Add 3x to both sides:
[tex]-3x-4y+3x=-20+3x\\-4y=3x-20[/tex]
Divide both sides by -4:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
Now, we can identify [tex]\displaystyle-\frac{3}{4}[/tex] to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:
[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]
[tex]y=mx+b[/tex]
I hope this helps!
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. What is the axis of symmetry, and what does it represent? t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground. t = 3; It takes the ball 3 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 3 seconds to fall back to the ground. t = 6; It takes the ball 6 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Answer:
t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
Step-by-step explanation:
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
The time will be t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable the dependent variable.
To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.
h(t) = -16t² + 96t
= -16(t² - 6t)
= -16(t² - 6t + 9) - (-16) * 9
= -16(t - 3)² + 144
Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum.
We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground.
The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".
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___+ 5 = 2 x 5
It’s true sentences
Complete the number sentences so they are true
Answer:
5+5=2×5
10 10
Step-by-step explanation:
here is your answer
Please answer this now with correct answer
Answer:
483.56 square milimeters
Step-by-step explanation:
In the above question, we obtain the following information:
Slant height = 15mm
Radius = 7mm
π = 3.14
Since we are given the slant height ,
the formula for surface area of a cone = πrl + πr²
= πr (l + r)
= 3.14 × 7(15 + 7)
= 3.14 × 7( 22)
= 21.98(22)
= 483.56 square milimeters
1) UN MOVIL A SE MUEVE DESDE UN PUNTO CON VELOCIDAD CONSTANTE DE 20m/s EN EL MISMO INSTANTE A UNA DISTANCIA DE 1200m, OTRO MOVIL B SALE Y PERSIGUE AL MOVIL A CON VELOCIDAD CONSTANTE DE 40m/s.¿ EN QUE TIEMPO Y A QUE DISTANCIA B ALCANZA a
Answer:
El móvil B necesita 60 segundos para alcanzar al móvil A y le alcanza una distancia de 2400 metros con respecto al punto de referencia.
Step-by-step explanation:
Supóngase que cada movil viaja en el mismo plano y que el móvil B se localiza inicialmente en la posición [tex]x = 0\,m[/tex], mientras que el móvil A se encuentra en la posición [tex]x = 1200\,m[/tex]. Ambos móviles viajan a rapidez constante. Si el móvil B alcanza al móvil A después de cierto tiempo, el sistema de ecuaciones cinemáticas es el siguiente:
Móvil A
[tex]x_{A} = 1200\,m+\left(20\,\frac{m}{s} \right)\cdot t[/tex]
Móvil B
[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot t[/tex]
Donde:
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posiciones finales de cada móvil, medidas en metros.
[tex]t[/tex] - Tiempo, medido en segundos.
Si [tex]x_{A} = x_{B}[/tex], el tiempo requerido por el móvil B para alcanzar al móvil A es:
[tex]1200\,m+\left(20\,\frac{m}{s} \right)\cdot t = \left(40\,\frac{m}{s} \right)t[/tex]
[tex]1200\,m = \left(20\,\frac{m}{s} \right)\cdot t[/tex]
[tex]t = \frac{1200\,m}{20\,\frac{m}{s} }[/tex]
[tex]t = 60\,s[/tex]
El móvil B necesita 60 segundos para alcanzar al móvil A.
Ahora, la distancia se obtiene por sustitución directa en cualquiera de las ecuaciones cinemáticas:
[tex]x_{B} = \left(40\,\frac{m}{s} \right)\cdot (60\,s)[/tex]
[tex]x_{B} = 2400\,m[/tex]
El móvil B alcanza al móvil A a una distancia de 2400 metros con respecto al punto de referencia.
PLEASE help me with this question! This is really urgent! No nonsense answers please, and answer with full solutions!
Answer:0.80
Step-by-step explanation:please i don't really know how to explain this i am very sorry
explanation please! thx!
Answer:
63°
Step-by-step explanation:
complement means that the two angles add to 90°
90 - 27 = 63°
Answer:
Step-by-step explanation:
complement angles have sum of angles=90°
∠AOC=27
∠BOC=90-27=63°
hey i suck at math can someone help me with this question
we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part
area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.
for bigger trapezium, $h=4$ parallel sides are $5$ and $5$
hence area is $\frac{4(5+5)}{2}=20$
similarily area of white trapezium, $\frac{4(3+3)}{2}=12$
and area of striped part is $20-12=8$
Write the equation of the line that passes through the points (4,5) and (4,-6).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x=4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -6-5)/(4-4)
= -11/0
This means the slope is undefined
Then means it is a vertical line
Vertical lines are in the form
x = constant
The constant in this case is the x value of the points
x=4
define space in detail.
Answer:
space is the capacity that an object or shape weigh
<1 and <2 are vertical angles. If m<1 = (5x+12) and m<2 = (23x + 17) find m<2
Answer:
m∠2 = 10 11/18°
Step-by-step explanation:
Vertical angles are equal to one another.
[tex]5x+12=23x+17\\\\12=18x+17\\\\-5=18x\\\\-\frac{5}{18}=x[/tex]
Now substitute the value for the variable to find m∠2.
[tex]23(-\frac{5}{18})+17\\\\-\frac{115}{18}+17\\\\\frac{191}{18}=10\frac{11}{18}[/tex]
What is the algebraic expression for “ three times a number reduced by 5”
Answer:
Let n be the number.
So, 3 times n is 3n.
And reduced by 5 is -5.
So the answer is 3n-5.
Let me know if this helps!
What is the additive identity of -17?
Answer:
The additive identity is 0. The sum of any number with the additive identity is the number itself.
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
Choose all answers that apply
A -x + (-x) = 0
B x - (-x) = 0
C none of the above
Answer:
c
Step-by-step explanation:
none of the above
C none of the above
because x-(-x)=x+x=2xand
-x+(-x)= -x-x=-2x
so answer is 'C' none of the above
Simplifying Please Help!
Answer: C. 6x+18
Step-by-step explanation:
Use the distributive property
First multiply 6 times x which is 6x
Then multiply 6 times 3 which is 18
Keep the sign the same
Therefore, this should give you 6x+18
6.3 covert to fractional form like a fraction and get a like and brainiest !
solve for the measure of y
Answer:
43°
Step-by-step explanation:
to calculate this angle you have to find the value of angle x because the two are equal since they originate from the same arc to find angle y,you subtract the sum of 90 and 47 by 180, because they form a triangle and the top part of that triangle is 90°( the angle at the circumference is half the angle at the center 180/2=90°)
90+47+x=180
x=180-137
x=43°
therefore y=43
I hope this helps
Victor fue al mercado para comprar manzanas, naranjas y platanos; las naranjas costaron el doble de lo 1ue pago por las manzanas y los platanos costaron 8 pesos menos que pas manzanas, en total gasto 100 pesos. Determina el precio de las manzanas, naranjas y platanos
Answer:
El precio de las manzanas = 27 pesos
El precio de las naranjas = 54 pesos
El precio de las bananas = 19 pesos
Step-by-step explanation:
Los parámetros dados son;
El monto total gastado = 100 pesos
Sea el precio de las naranjas = x
Sea el precio de las manzanas = y
Sea el precio de los plátanos = z
La cantidad pagada por las naranjas = 2 · y = x
La cantidad pagada por los plátanos = y - 8 = z
Por lo tanto, tenemos;
La cantidad total gastada = La cantidad pagada por las naranjas + La cantidad pagada por las bananas + La cantidad pagada por las manzanas
∴ El monto total gastado = 100 pesos = 2 · y + y - 8 + y
100 = 4 · años - 8
4 · y = 100 + 8 = 108
y = 108/4 = 27
y = 27
De
z = y - 8 tenemos;
z = 27 - 8 = 19
De 2 · y = x, tenemos;
2 × 27 = x
x = 54
Por lo tanto;
El precio de las naranjas = 54 pesos
El precio de las manzanas = 27 pesos
El precio de los plátanos = 19 pesos.
(Drop downs:) 8,6,5.5
(Drop downs 2:) 10.5,8,5.5
(Drop downs 3:) 33,22,11
Step-by-step explanation:
Perimeter of equilateral triangle=24, side=24/3=8. Side of square=Side of equilateral triangle - 2.5 = 5.5. The perimeter of square is 4*5.5=22
please help if you can
Answer:
x= 10
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(8+x) * 8 = (9+-3+x) * 9
8(8+x) = 9(6+x)
Distribute
64+8x=9x+54
Subtract 8x from each side
64 = x+54
Subtract 54 from each side
10 =x
subtract c from 7, then divide b by the result
Answer:
[tex]\frac{7-c}{b}[/tex]
Answer:
[tex]\frac{7 -c}{b}[/tex]
Step-by-step explanation:
Subtract c from 7 : 7 - c
Then the result is divide by b : [tex]\frac{7 -c}{b}[/tex]
State the null and alternative hypothesis in each case.
(a) A hypothesis test will be used to potentially provide evidence that the population mean is less than 5.
(b) A hypothesis test will be used to potentially provide evidence that the population mean is more than 10.
(c) A hypothesis test will be used to potentially provide evidence that the population mean is not equal to 7
Answer:
Which term is a term in this expression?
Step-by-step explanation:
Which term is a term in this expression?Which term is a term in this expression?Which term is a term in this expression?Which term is a term in this expression?Which in this expression?Which term is a term in this expression?
Jameel drew circle A and found that the measure of the is 58°. He knows that he can use this measure to determine the measure of many of the other angles shown in the circle. Enter the measure of ∠ADB.
The measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
Measure of angle ADBGiven:
∠CAD=58°
Hence:
∠BAD=180°-58°
∠BAD=122°
Since ∠ABD is isosceles, thus:
∠ADB-∠ABD
180°-122°=58°
2∠ADB=58°/2
∠ADB=29°
Therefore the measure of many of the other angles shown in the circle is: measure of ∠ADB=29°.
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Which number is equal to 10^-3?
-1,000
-30
0.001
0.003
Work Shown:
10^(-3) = 1/( 10^3 ) = 1/1000 = 0.001
The rule used here is x^(-k) = 1/( x^k )
Answer:
C. O.001
Step-by-step explanation:
10^-3 = (1)/(10^3)
move the negative exponent to the denominator
(1)/(1000)
simplify 10^3 in the denominator
(1)/(1000) = 0.001
Find the values of θ in the range 0≤θ≤360° which satisfy: 2 sin^2 θ - sinθ -1= 0
Answer:
Step-by-step explanation:
Solving trig equations are just like solving "regular" equations. Let's get to it. First and foremost we are going to make a "u" substitution. You'll use that all the time in calculus, if you choose to go that route. Let
[tex]sin^2 \theta=u^2[/tex] and sinθ = u. Making the substitution, the equation becomes:
[tex]2u^2-u-1=0[/tex]
That looks like something that can be factored, right? If you throw it into the quadratic formula you get the factors:
(u - 1)(2u + 1) = 0
By the Zero Product Property, either u - 1 = 0 or 2u + 1 = 0, so we will solve those, but not until after we back-substitute!
Putting sinθ back in for u:
sinθ - 1 = 0 so
sinθ = 1 and in the other equation:
2sinθ + 1 = 0 so
2sinθ = -1 and
[tex]sin\theta=-\frac{1}{2}[/tex]
Get out the unit circle and look to where the sinθ has a value of 1. There's only one place in your interval, and it's at 90 degrees.
Now look to where the sinθ has a value of -1/2. There are 2 places within your interval, and those are at 210° and 330°. Now you're done!
HELP!!!
The solutions to (x + 3)^2- 4=0 are x = -1 and x = -5
True or false
Answer:
False
Step-by-step explanation:
We can simplify this equation and then solve for x.
[tex](x+3)^3-4=0\\\\x^2+6x+9-4=0\\\\x^2+6x+5=0\\\\(x+2)(x+3)=0\\\\x=-3\\x=-2[/tex]
As you can see, the solutions are not x=-1 and x=-5.
Therefore, the answer is false.
Answer:
True
Step-by-step explanation:
Given
(x + 3)² - 4 = 0 ( add 4 to both sides )
(x + 3)² = 4 ( take the square root of both sides )
x + 3 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 3 from both sides )
x = - 3 ± 2
Thus
x = - 3 - 2 = - 5
x = - 3 + 2 = - 1
Can someone please explain this to me? I don’t understand it at all.
Segment AB was added to segment BC to get segment AC
representing it as an equation,
AC = AB + BC.
Substitute the values in the equation which means you are going to find the value of x.
77 = x + 16 + 4x +11
77 = 5x + 27
(group like terms)
77 - 27 = 5x
50 = 5x
( divide both sides by 5 to make x stand alone)
50/5=5x/5
10 = x
therefore ,x = 10.
To prove that segment AB =26, place x in the statement
AB = x+16
AB=10+16
AB=26/