What is the equation of the line of symmetry for the parabola represented by the equation y=−2(x−3)2+4?
Answer:
x = 3.
Step-by-step explanation:
The parabola opens downwards.
it's x = 3 (because of the (x- 3))
Ingrid collected 6 cans of food and 18 boxes of food for the food bank. Which describes the relationship between cans of food and boxes of food? Ingrid collected 3 times as many cans as she did boxes. For every 6 boxes of food Ingrid collected, she also collected 18 cans of food. For every 18 boxes of food Ingrid collected, she also collected 24 cans of food. Ingrid collected 3 times as many boxes as she did cans.
Answer:
Ingrid collected 3 times as many Food boxes as she did cans of Food.
Step-by-step explanation:
Ingrid collected 6 cans of food from the food bank.
Ingrid collected 18 boxes of food from the food bank.
In order to determine the relationship
let cans of food = x = 6
So the boxes of food will be 3x = 3*6 = 18
So the relation between Cans of food and boxes of food will be
Ingrid collected 3 times as many boxes as she did cans
Answer:
A on ed 2020
Step-by-step explanation:
What is the equation of the line that passes through the point (3,-3) and has a slope of 0?
Answer:
given us,
slope= 0
(x1y1)= (3,-3)
here
(y-y1) =m(x-x1)
or, (y+3)=0(x-3)
or (y+3)= x-3
or, x+y= -3-3
x+y= -6
Step-by-step explanation:
x+y= -6
Find the actual length. Scale length is 9 cm. Scale is 1 cm = 7.5 m.
Multiply and simplify
Answer:
[tex]75 {x}^{ \frac{3}{2} } {y}^{6} {z}^{ \frac{11}{2} } [/tex]
Step-by-step explanation:
First thing is to multiply. We don't need to bother with the root for now.
[tex] \sqrt{15 {x}^{2} {y}^{11} {z}^{4} } \times \sqrt{5xy {z}^{7} } = \\ \sqrt{75 {x}^{3} {y}^{12} {z}^{11} } [/tex]
All I did was multiply the numbers and added the exponents for the variables.
Now all we have to do is divide the exponents in half for the variables, nothing is needed additionally for the 75.
[tex]75 {x}^{ \frac{3}{2} } {y}^{6} {z}^{ \frac{11}{2} }[/tex]
There you go, just a few steps and you have your answer.
You can simplify further by moving the answer for the root infront of the square root so it isn't as sloppy. This would make the simplest for to be
5xyz^5 (3xy)^(1/2)
help me pls help me pls
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
6.5 x 9 = 58.5
she used half a jar, so that means half of 6.5, which is 3.25. Add 58.5 and 3.25, and you get 61.75.
Also 6.5 x 9.5 = 61.75
write in simplest form
14a^2 / 24a
Answer:
The simplest form of [tex]\frac{14a^2}{24a}[/tex] is [tex]\mathbf{\frac{7a}{12}}[/tex]
Step-by-step explanation:
We need to write [tex]\frac{14a^2}{24a}[/tex] in simplest form.
We know the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Applying the rule:
[tex]\frac{14a^2}{24a} \\=\frac{14a^{2-1}}{24}\\Since \ 14 \ and \ 24 \ are \ divisible\ by \ 2 \\=\frac{7a^1}{12} \\=\frac{7a}{12}[/tex]
The simplest form of [tex]\frac{14a^2}{24a}[/tex] is [tex]\mathbf{\frac{7a}{12}}[/tex]
Find the difference.
10 - 12
Answer:
-2
Step-by-step explanation:
12 is the larger number so if you take a bigger number and subtract it from a smaller number you get negative
The value of the difference 10 - 12 is -2.
The difference between 10 and 12 is calculated by subtracting the smaller number from the larger number.
We have to find difference of 10 - 12.
When we subtract 12 from 10, we get a result of -2.
The negative sign indicates that 12 is greater than 10, and the absolute value of 2 represents the numerical difference between the two numbers.
So, the difference between 10 and 12 is -2.
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Write this in standard form 4(2a) + 7(-4b)
La suma de las edades de un padre y sus dos hijos es de 48 dentro de 10 años el doble de la suma de las edades de los hijos excederá en 6 años a las edades del padre cuando nacio el pequeño la edad del padre accedia 26 unidades al triple de la edad que tenia el hijo mayor cual es la edad de los 3
Answer:
La edad del padre es 40 años, la edad del hijo menor es 2 años y la del hijo mayor es 6 años.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de ecuaciones lineales que tienen más de una incógnita. Las incógnitas aparecen en varias de las ecuaciones, pero no necesariamente en todas, y se relacionan mediante las ecuaciones. En otras palabras, un sistema de ecuaciones es un conjunto de dos o más ecuaciones con varias incógnitas en la que desea encontrar una solución común, es decir, encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso debes resolver una sistema de ecuaciones, para lo cual debes en primer lugar definir las variables a utilizar:
x: edad del padre y: edad del hijo mayor z: edad del hijo menorEntonces, siendo:
La suma de las edades de un padre y sus 2 hijos es 48. Dentro de 10 años el doble de la suma de las edades de los hijos excederá en 6 años a la edad del padre. Cuando nació el pequeño la edad del padre excede 26 unidades al triple de la edad que tenía el hijo mayor.Se puede expresar simbólicamente como:
x +y +z= 48 Ecuación 12*[(y+10) + (z+10)]= (x+10) + 6 Ecuación 2(x-z)= 3*(y-z) +26 Ecuación 3que será el sistema de ecuaciones a resolver.
Para resolver se puede usar el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo, x ) y sustituir su expresión en la otra ecuación para así ir determinando el valor de cada una de las variables.
En este caso, despejando el valor de x de la ecuación 1 se obtiene:
x= 48 -y -z Ecuación 4
Reemplazando esta expresión en la ecuación 2:
2*[(y+10) + (z+10)]= (48 -y -z+10) + 6
y aislando la variable y obtienes:
2*[y + z +10 +10]= 48 -y -z +10 +6
2*[y + z +20]= 64 -y -z
2*y + 2*z +40= 64 -y -z
2*y + y= 64 -z -2*z -40
3*y= 24 - 3*z
y= (24 - 3*z)÷ 3
y= 8 - z Ecuación 5
Reemplazando esta expresión en la ecuación 4:
x= 48 - (8 -z) -z
y resolviendo se obtiene el valor de x, es decir, la edad del padre:
x= 48 -8 +z +z
x=40
Entonces, la edad del padre es 40 años.
Ahora, reemplazando la ecuación 5 y el valor de x en la ecuación 3 se obtiene:
(40-z)= 3*(8 -z -z) +26
Resolviendo:
40 -z= 3*(8 -2*z) +26
40 -z= 3*8 - 3*2*z +26
40 -z= 24 -6*z +26
-z + 6*z= 24 + 26 - 40
5*z= 10
z= 10÷ 5
z=2
Entonces, la edad del hijo menor es 2 años.
Finalmente, reemplazando el valor de z en la ecuación 5 se obtiene:
y= 8 - 2
y= 6
Por lo que, la edad del hijo mayor es 6 años.
A is a branching diagram that shows evolutionary relationships.
Answer:
cladogram
Step-by-step explanation:
Answer:
cladogram
Step-by-step explanation:
If you have 0.42 grams of salt and add 0.23 grams of pepper,
how many grams do you have in total?
Answer:
0.65 grams
Step-by-step explanation:
0.42 + 0.23 = 0.65
The total weight of both salt and pepper is 0.65 grams.
What are decimal numbers?Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point. The dot present between the whole number and fractions part is called the decimal point.
Given that, you have 0.42 grams of salt and add 0.23 grams of pepper.
Total weight = 0.42+0.23
= 0.65 grams
Therefore, the total weight of both salt and pepper is 0.65 grams.
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Can you please help me with these problems, I just don't really understand how to calculate the area of these types of shapes.
thank you!
4. Not enough info, the shape is cut off. Are there 4 sides or 5? If there's a 5th side, is it slanted or parallel to the one labeled 10 ft?
5. The circle has a radius of 7 m, so its area is
π (7 m)² = 49π m²
Subtract from this the area of the white triangle. It has a base length equal to the diameter (i.e. twice the radius) of the circle, and a height equal to the radius, so its area is
1/2 (14 m) (7 m) = 49 m²
So the area of the shaded region is (49π - 49) m², or 49 (π - 1) m².
6. The rectangle has length 14 yd and height equal to the diameter of the circular cutout, 10 yd, so its area is
(14 yd) (10 yd) = 140 yd²
The circular cutout is a semicircle with radius 5 yd, so its area is
1/2 π (5 yd)² = 25π/2 yd²
Then the area of the shaded region is (140 - 25π/2) yd², or 1/2 (280 - 25π) yd².
7. The circle has radius 13 in, so its area is
π (13 in)² = 169π in²
The triangle has height 23 in and length 12 in, so its area is
1/2 (23 in) (12 in) = 138 in²
Then the area of the shaded region is (169π - 138) in².
8. The shaded region is a rectangle with a smaller rectangular cutout. The larger rectangle has height 19 cm and length 18 cm + 16 cm = 34 cm, so its area is
(19 cm) (34 cm) = 646 cm²
The smaller rectangular cutout has length 16 cm and height 19 cm - 16 cm = 3 cm, so its area is
(16 cm) (3 cm) = 48 cm²
Then the area of the shaded region is 646 cm² - 48 cm² = 598 cm².
9. The semicircular piece has radius 3 m, so its area is
1/2 π (3 m)² = 9π/2 m²
The triangle has height equal to the semicircle's diameter, 6 m, and length 9 m, so its area is
1/2 (6 m) (9 m) = 27 m²
Then the area of the shaded region is (9π/2 + 27) m², or 1/2 (9π + 54) m².
What is 23/40 - 11/30
Determine the scale factor for the following points: (4, 2) to (16, 8)
Answer:
The rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
Step-by-step explanation:
Given the point
(4, 2)As the image coordinates of (4, 2) are (16, 8) after the scale factor, we need to determine what could be the scale factor.
Let P(4, 2) is the original point, and P'(16, 8) is the image of the point P(4, 2).It is clear that the coordinates of the image P'(16, 8) are 4 times the coordinates of the original point P(4, 2), which means the point P(4, 2) is dilated by a scale factor of 4.
Thus, the rule of dilation by a scale factor 4 is:
(x, y) → (4x, 4y)
P(4, 2) → (4x, 4y) = (4(4), 4(2)) = P'(16, 8)
Therefore, 4 will be the scale factor.
If a scale factor of 1/4 is used to make a reduction, what is the base of the reduced triangle?
Answer: 8cm
Step-by-step explanation:
The Short answer: I've done this before.
A caterer prepared a turkey that weighed 27 1/2 pounds. Each serving of turkey will be 1/3 pound. How many whole servings will the turkey provide?
Answer:
82.5000001 Close to around this ( maybe .11 off)
Explanation:
27.5 ÷ .33333333 = 82.5000001
Answer:
The answer is 82
Step-by-step explanation:
If someone answers first they get marked brainliest!
Answer:
y=25x
Step-by-step explanation:
The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio?
I need help with this equation
Answer: The correct choice is D
Step-by-step explanation:
Answer:
The answer is D you're welcome <3
PLEASE HELPPPPPPPPPPPP
Answer:
PEN PINEAPPLE APPLE PEN
HELP WILL GIVE BRAINLIEST
Which of these is not an equation?
A
3b = 5
B
43(4x + 7y)
C
78 = 3p - 37
D
a - 17 = 1,825,026
Answer:
d
Step-by-step explanation:
an equation always shows that sum is equal
in this case 1825026 will subtract 17 and the remainder will be used to find A
What is the equation of the line that passes through the point (−8,3) and has a slope of -1/4?
Answer:
y=-1/4x+1
Step-by-step explanation:
so here are my steps after plugging in the numbers:
y-3=-1/4(x+8)
y-3=-1/4x-2
y=-1/4x+1
Angel is running for school council president. He receives 300 votes, which is 60% of all the votes. How many students vote in the election?
Angel receives 300 votes which is 60% of total votes.
Therefore we can determine 60% = 300
The next thing to do would be to determine 1% and we can do this by dividing both sides by 60:
60% = 300
1% = 5
Then multiply both sides by 100 to determine 100% of total votes (total amount of students who voted):
1% = 5
100% = 500
Therefore 500 students voted in the election.
Answer:
500 students
Step-by-step explanation:
300=60%
300x2=600
(turning the 300 into 600 helps it make sense)
600/3=200
200x5= 1000
1000/2=500
Plz help me am bad at math I will gave u Brainliest
Answer:
see below
Step-by-step explanation:
surface area = 2 (LW + LH + WH)
a)
where L = length = 8
W = width = 2
H = height = 2
plugin values into the formula:
surface area = 2 (8*2 + 8*2 + 2*2)
= 2 (16 + 16 + 4)
= 72
---
b)
where L = length = 2
W = width = 3
H = height = 9
plugin values into the formula:
surface area = 2 (2*3 + 2*9 + 3*9)
= 2 (6 + 18 + 27)
= 102
---
c)
surface area = 2(area of rectangular side) + 2(area of triangular side) + base area
plugin values into the formula:
surface area = 2 (2*7) + 2( 1/2 * 7 * 6.1) + (2*7)
= 28 + 42.7 + 14
= 84.7
r/-7 - -9 = -7 what is r?
Answer:
r = 112
Hope This Helps! If you need a step-by-step let me know!
(GIVING BRAINLIEST) A company rents out 11 food booths and 26 game booths at the county fair. The fee for a food booth is $50 plus $10 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid
What is an equation of the line that passes through the points (0, - 5) and (- 6, 0) ? Put your answer in fully reduced form.
Answer:
y= mx + b
y= - 5/6x + b
slope is 1
y-intercept is (0,-5x/6)
Step-by-step explanation:
(0, -5) (-6, 0)
y2 -y1 = 0- -5 = 5
x2-x1 = -6- 0= 6
-5/6
Find the difference between -14w - 3 and 5w. What the answers can be -9 w - 3, -19 w + 3, -19 w - 3, -22 w
Answer:
I think it is C
Step-by-step explanation:
-14w - 3 -5w
-14w-5w-3
19w-3