Passengers under the age of 8 and whose height is less than 57 inches must be in the back seat of a vehicle.
When you journey in the backseat of a automobile, you take a seat within the row of seats behind the motive force. Kids once in a while combat over the front seat, not wanting to take a seat within the backseat. you may tour within the backseat of a car except you're the driver or are using a two-seat sports activities vehicle.
The cushion in which the driving force or passenger sits is either known as a horizontal cushion or seat cushion. The back of the automobile seat is called the seat again however it could additionally be called a backrest.
An infant protection seat every so often referred to as an toddler protection seat, infant restraint device, baby seat, child seat, car seat, or booster seat is a seat designed particularly to shield youngsters from injury or death throughout automobile collisions.
Learn more about the back seat of a vehicle here https://brainly.com/question/20358346
#SPJ4
The steps for multiplying the linear expressions –2n and three-fourths n are shown. A 2-column table with 4 rows. First column is labeled Reason with entries Given, Step 1, Step 2, Step 3. Second column is labeled Step with entries (negative 2 n) (three-fourths n), negative 2 times three-fourths times n times n, (negative 2 times three-fourths) times (n times n), negative three-halves n squared. What is the mathematical reasoning for Step 1? associative property commutative property distributive property simplify
The mathematical reasoning for the first step is; Distributive Property
How to use Algebra Properties?We want to multiply the linear expressions; -2n and ³/₄n.
The first step will be to express them with the multiplication sign to get and factorize;
-2n × ³/₄n
Now, since n is common to both terms, we will factorize it out to get;
n(-2 × ³/₄)
Now, that operation above is termed as a distributive property because we know that the algebra distributive property is;
a(b + c) = ab + ac
Or a(b × c) = ab × ac
Read more about Algebra Properties at; https://brainly.com/question/11131460
#SPJ1
Answer:
communitave property i think
Step-by-step explanation:
If 343* = 494-x, what is the value of x?
5/8
8/5
2
8
Answer: [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
343 is equal to 7 to the power of 3.
49 is equal to 7 to the power of 2.
You can then make the equation:
[tex](7^{3})^x = (7^2)^{4-x}[/tex]
The powers law means if something is to the power of something, it is multiplied.
So, we can remove the 7 and make the equation:
3x = 2(4-x)
3x = 8 - 2x
5x = 8
x = [tex]\frac{8}{5}[/tex]
You can verify this by plugging it in,
[tex]343^{8/5} = 11388.6066[/tex]
[tex]49^{4-(8/5)} = 11388.6066[/tex]
Calculate the unpaid balance, finance charge, and new balance using the unpaid balance method. Note: Interest rate is given as a monthly rate
Previous balance:$179.32
Payments/credits:$85.00
Unpaid balance:$
Monthly rate:1.25%
Finance charge:$
New purchases=$117.42
New balance=$
The Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
Finance charge
Unpaid balance:
Unpaid balance=Previous balance-Payments/credits
Unpaid balance=$179.32-$85.00
Unpaid balance= $94.32
Finance charge:
Finance charge =Finance charge×Monthly rate
Finance charge=$94.32×1.25%
Finance charge=$1.179
New balance:
New balance =Previous balance-(New purchases-Payments/credits)+Finance charges
New balance=$179.32-($117.42-$85.00)+$1.179
New balance=$179.32-$32.42+$1.179
New balance=$148.079
Therefore the Unpaid balance is $94.32, Finance charge is $1.179 and new balance is $148.079.
Learn more about finance charge here:https://brainly.com/question/3436429
#SPJ1
Answer:
94.32
1.18
212.92
in order
Step-by-step explanation:
Use 8a+16c.
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
13 7in 7in 7in volume and surface area pyramid
The Volume and Surface Area of Prism is 294 in² and 114.33 in³.
What is pyramid?A large structure built especially in ancient Egypt that usually has a square base and four triangular sides meeting at a point and that contains tombs.
Surface rea of rectangular prism,
= 2( lb +bh +lh)
= 2 ( 7*7 + 7*7+ 7*7)
= 2 ( 49+49+49)
= 2*3*49
= 294 in²
Now, Volume,
= bhl/3
= 7*7*7/3
= 114.33 in³
Learn more about volume and surface area here:
https://brainly.com/question/23302816
#SPJ1
Which expression is equivalent to
i need help asap
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle RST is congruent to triangle RSQ given that RS ⊥ ST, RS ⊥ SQ, and ∠STR ≅ ∠SQR.
1) [tex]\overline{RS} \perp \overline{ST}, \overline{RS} \perp \overline{SQ}, \angle STR \cong \angle SQR[/tex] (given)
2) [tex]\overline{RS} \cong \overline{RS}[/tex] (reflexive property)
3) [tex]\angle RST[/tex] and [tex]\angle RSQ[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle RST \cong \triangle RSQ[/tex] (AAS)
What is the range of f(x) = 3x + 9?
Answer:
The range is all real numbers.
Step-by-step explanation:
The function shown is a line (and not a horizontal line).
The range is all the y's on the graph or all the y's that can be generated by the equation of the function.
f(x) = 3x + 9
You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.
The range is All Real Numbers.
i would appreciate your help
__________________________________________________________
[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________
[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} (gradient) and a \emph{point}. This will help}\\\text{us solve our problem.}\quad{}\\\\\text{Slope: 2 }\\\\\text{Point: (1, 4)}\\\quad{}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values to its}\\\text{correct variable and solve.}[/tex]
__________________________________________________________
[tex]\textbf{Solve:}\\\\\text{Use the point-slope formula to solve.}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in 2 to m, 1 to x1, 4 to y1 and then solve.}\\\\y - 4 = 2(x - 1)\\\\\text{Use the \underline{distributive property} to distribute the 2.}\\\\y - 4 = 2x - 2\\\\\text{Add 4 to both sides to cancel the 4 on the left and move the remainder}\\\text{to the right side of the equal sign.}\\\\y = 2x + 2\\\\\text{Since we can't simplify any further, our answer is: \fbox{y = 2x + 2}}[/tex]
__________________________________________________________
[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line (our final answer) would be \fbox{y = 2x + 2}}[/tex]
__________________________________________________________
Will a stand that can hold up to 40 pounds support a21-kilograms television? Explain. Use 2.2 lb=1kg.
Answer: No
Step-by-step explanation:
Weight limit = 40 Lb
Weight given = 21 kg
Conversion factor
2.2 Lb = 1 kg
2.2 x 21 = 46.2
46.2 Lb = 21 kg
46.2 > 40, the stand cannot support the TV
TV > stand
Is (x + 7) a factor of f(x) = x³ - 3x² + 2x - 8?
Answer:
x=-7
0=(-7)³-3(-7)²+2(-7)-8
=-343-147-14-8
0≠-512
x+7 isn't a factor
PLS HELP I DONT KNOWWW!!
Answer:
3rd option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, - 1) ← 2 points on the line
m = [tex]\frac{-1-(-2)}{4-0}[/tex] = [tex]\frac{-1+2}{4}[/tex] = [tex]\frac{1}{4}[/tex]
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = [tex]\frac{1}{4}[/tex] x - 2 ← equation of line
PLEASE HELP ASAP
If "x" varies directly with "y," and
x = -19 when y = 14, what is
"x" when y = 2?
Enter the number that belongs in the green box.
Reduce to simplest form.
X = -
Notice that the negative sign has already been entered.
The value of x when y = 2 is -19/7
How to solve for x?A direct variation from x to y is represented as:
x = ky
Where k represents the variation constant.
x = -19 when y = 14.
So, we have:
-19 = 14k
Make k the subject
k = -19/14
Substitute k = -19/14 in x = ky
x = -19y/14
When y = 2, we have:
x = -19 * 2/14
Evaluate
x = -19/7
Hence, the value of x when y = 2 is -19/7
Read more about direct variation at:
https://brainly.com/question/6499629
#SPJ1
Please Help! What is the value of x?
Answer:
4.1968
Explanation:
Given that:
angle: 25°
opposite: x
adjacent: 9
So, use the tan rule:
opposite/adjacent = tan(x)
x/9 = tan(25)
x = 9tan(25)
x = 4.1968
Option A
G E Which of the following segments is tangent to the circle ? 1) overline HL 2 ) overline DE 3 overline FG 4 ) overline AC
Answer:
DE
Step-by-step explanation:
........................
I need help with dis math problem (img included)
Answer:
4500 sec
Step-by-step explanation:
1hr 15min= 75 min
75 x 60=4500
what is the cos? trigonometry
Answer:
Cos, a abreviation of cosine is used in trigonometry, and it represents the ratio of the hyptenuse and the adjacent side of a right triangle (a triangle with a right/90 degree angle). The formula for evaluating cosine/cos is the length of the adjacent side of the triangle divided by length of the hypotenuse of the triangle. To be clear, the hypotenuse is the side of the triangle the 90 degrees is facing, and the adjacent side is the side across the hypotenuse.
Step-by-step explanation:
Answer:
A trigonometric function that for an acute angle is the ratio between the leg adjacent to the angle when it is considered part of a right triangle and the hypotenuse.
What is cos law?
The cos law or cosine law defines the relationship between the sides and the angles of the triangle. This law is also known as the law of cosine or cosine rule. According to this law,
c2 = a2 + b2 − 2ab cos α
Where a, b and c are the sides of the triangle.
A rotation R takes A(1,-3) to A'(3,5) and B(0,0) to B'(4,-6). find the centre of rotation?
The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Given points;
A(1,-3)
A'(3,5)
B(0,0)
B'(4,-6)
C is the center point of rotation.
The given points are plotted on the graph and obtained as the center of rotation will be (0,4).
Hence the center of rotation will be (0,4).
To learn more about the circle, refer to the link: https://brainly.com/question/11833983.
#SPJ1
can u give the direct answer of 1 and 2
[tex] {a}^{3} . \\ \\ {a}^{5}. \\ \\ {a}^{9} . \\ \\ {a}^{m + n}. \\ \\ {x}^{1} = x.\\ \\ {x}^{3}. \\ \\ {x}^{3}. \\ \\ {x}^{m - n} . \\ \\ {y}^{6} . \\ \\ {y}^{12} . \\ \\ {y}^{18} . \\ \\ {y}^{ab}. \\ \\ 1. \\ \\ 1. \\ \\ {px}^{1} = px.[/tex]
••••••••••••••••••••••••••••••••••••••[tex]343 .\\ \\ 16 .\\ \\ 3125 .\\ \\ \frac{ - 8}{27} .[/tex]
Calcular la altura, h de un arbol sabiendo que, si nos situamos 8 metros de la base del tronco, vemos la parte superior de su copa en un angulo de 36.87*
Utilizando trigonometría, veremos que la altura del arbol es 6m.
¿Como obtener la altura del arbol?
Podemos visualizar la situación como un triangulo rectangulo.
La altura del arbol será el cateto opuesto al angulo de 36.87°.
La distancia a la base del tronco, que es 8 metros, será el cateto adjacente a dicho angulo.
Entonces, podemos usar la relacion:
tan(θ) = (cateto opuesto)/(cateto adjacente).
Reemplazando lo que conocemos, y definiendo:
altura = cateto opuesto = H.
tendremos:
tan(36.87°) = H/8m
Resolviendo para H:
H = tan(36.87°)*8m = 6m
Así, concluimos que la altura del arbol es 6m.
Sí quieres aprender más sobre triangulos rectangulos:
https://brainly.com/question/2217700
#SPJ1
Picture shown PLEASE HELP
Answer:
m= –4
So, you only need to of the points to find the slope, why not choosing the first two:
[tex]m = \frac{y2 - y1}{x2 - x1} = = = > \\ m = \frac{12 - 8}{ - 3 - ( - 2)} = = = > \\ m = \frac{4}{ - 1} = - 4[/tex]
so basically, this is the slope your looking for
How many dogs were in the sample?
each number under the leaves section would be a dog
answer: 11
Answer:
11
Step-by-step explanation:
The value of a car decreases as shown in the table below.
A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The statements which are true from the given table are:
The function that best represents the data is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate the value of the car at 4.5 years.
What is Depreciation?Depreciation refers to the accounting method where the value of a tangible asset reduces over a period of time.
The value of the car is shown with the purchase with entries that shows its value over time,
The function that best represents the data is f(x) = 24,512(0.755)x and that this function decreases indefinitely.
The statements which are true from the given table are:
The function that best represents the data is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate the value of the car at 4.5 years.
The complete question is
"The value of a car decreases as shown in the table below.
A 2-column table with 6 rows.
The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5.
The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The function that best represents the data is f(x) = 24,512(0.755)x.
The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
It is reasonable to extrapolate to 40 years"
Read more about depreciation here:
brainly.com/question/25785586
#SPJ1
The standard form of an absolute value function is f(x)= alx-h+k. Which of the following represents the vertex?
O (-k,h)
O (-h,k)
O (k,h)
O (h,k)
Answer:
vertex = (h, k )
Step-by-step explanation:
the standard form of an absolute value function is
f(x) = a | x - h | + k
where (h, k ) are the coordinates of the vertex
36 students for 3 teachers =
1.0
5
12 students for 1 teacher.
Answer:
12
Step-by-step explanation:
36 divided by 3 =12 for 1 teacher
show that 8/15 plus 3/10 equals 5/6
Step-by-step explanation:
find the Lcm of 15 and 10 which is 30
multiply the 2fractions by the LCM
8/15*30=16
3/10*30=9
add the products and put them all over the Lcm
(16+9)/30
=25/30 which is equivalent to 5/6 when you divide both the numerator and the denominator by 5
Find the value of x. Round the length to the nearest tenth.
Answer:
5.1 yd
Step-by-step explanation:
tan(25°) = x/11
x = 11tan(25°)=5.1 yd
Angela is an electrical engineer who is testing the voltage of a circuit given a certain current and resistance. she uses the following formula to calculate voltage:
the circuit she tests has a current of 3 + j 4 amps and a resistance of 4 - j 6 ohms.
what is the voltage of the circuit?
The Voltage of the given Circuit is gotten as; V = 36 - 2j Volts
How to multiply Vectors?We are given;
Current; I = 3 + 4j amps
Resistance; R = 4 - 6j ohms
From ohms law, we know that;
V = IR
Thus;
V = (3 + 4j) * (4 - 6j)
V = 12 + 16j - 18j - 24j²
Now, in vector notation; j² = -1. Thus;
V = 12 - 2j + 24
V = 36 - 2j Volts
Read more about Vector Multiplication at; https://brainly.com/question/3184914
#SPJ1
helpppppppppppppppppppppppppppppppppppppppp
Answer:
70
Step-by-step explanation:
Valeria doesnt want any lollipops left over, but identical, so that means you have to add. You can divide the two colors otherwise you get a decimal, which you cant break a lollipop into, or an indefinite letter, a lollipop cant fit in that as well. The only sensible thing is to add them.
The probabilities that Sani, Kolo and Tato will hit a target are 3/4, 2/3 and 7/3 respectively If all three men shot once what is the probability that target will be hit only once
Step-by-step explanation:
get the lcm of the numerals and the denominators then simplify
hope it is correct
