Answer:
Here we have 6 cars.
And we know that there are 4 people in each car.
The question is incomplete, I assume that we want to find the total number of people in the 6 cars.
So, again, there are 6 cars, and 4 people in each one.
Then we have 6 times 4 people.
This is equal to the product between 6 and 4, which is:
6*4 = 24
There is a total of 24 people in the 6 cars.
A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?
A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
Find sin X, sin Z, cos X, and cos Z. Write each answer as a simplified fraction.
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
What is the explicit formula for this sequence?
2, 10, 50, 250, 1250, ...
O A. an = 2(5)(n-1)
O B. an = 5(2)(n-1)
O C. a, = 2 + (5)"
O D. an = 2(5)"
Answer:
O D. an = 2(5)"
Step-by-step explanation:
Given the expression/sequence below
2, 10, 50, 250, 1250, ...
O D. an = 2(5)"
The explicit formula is C
a0= 2*5^0= 2
a1=2*5^1= 10
a2= 2*5^2= 50
a3=2*5^3= 250
a4=2*5^4= 1250
Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and one-third cups of flour. How many loaves did Dianna make?
Answer:
5 loaves
Step-by-step explanation:
13 1/3 divided by 2 2/3 is 5 so the answer is 5 loaves.
Rewrite the fractions as improper fractions then divide the total amount used by the amount per loaf:
13 1/3 = 40/3
2 2/3 = 8/3
40/3 / 8/3
When dividing by a fraction flip the fraction over and multiply
40/3 x 3/8 = (40 x3) /( 3 x 8) = 120/24 = 5
She made 5 loaves of bread.
What is the formula or equation for this problem I don’t understand
Answer:
B
Step-by-step explanation:
From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.
9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175
x = 7 (it's 7 because u divide 175 by 25)
now let's substitute in the angle < DCB( 16x):-16 × 7= 112
To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180
<ABC + 112 = 180
< ABC = 180 - 112
< ABC = 68
answer credits: melatleul
can you help me do this Q I can't seem to get it :)
9514 1404 393
Answer:
x = 3∠IEH = 61°∠IHE = 35°Step-by-step explanation:
There are a couple of useful facts about parallelograms that can be used here.
1) The diagonals bisect each other.
2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.
__
The two marked sections of diagonal GIE are congruent, so you have ...
3x +1 = 10
3x = 9 . . . . subtract 1
x = 3 . . . . . divide by 3
__
Angles IEH and IGF are "alternate interior" angles, so are congruent.
angle IEH = 61°
__
Angles IHE and IFG are "alternate interior" angles, so are congruent.
angle IHE = 35°
A store kept track of its total sales for three weeks in a row. This table shows how much money in sales the store earned each week.
How much more money in sales did the store earn in sales in week 2 than in weeks 1 and 3 combined?
$2,519
$2,421
$2,419
$1,294
Week Sales ($)
1 13,674
2 28,473
3 12,380
Answer:
$2419
Step-by-step explanation:
week2 - (week1 + week3) = difference
28473 - (13674 + 12380) = 2419
find the value of a²+b
if...
a=-2 and b=5
Answer:
9
Step-by-step explanation:
a^2 +b
Let a = -2 and b = 5
(-2)^2 +5
Exponents first
4 +5
Then add
9
Answer:
9
Step-by-step explanation:
Here, we have to observe that a^2 = a×a =-2 × -2 = 4
hence, a^2 + b = 4 + 5 = 9.
Help is appreciated:)
Answer:
252 in^3
Step-by-step explanation:
7*3*12 = 252
252*.04 = $10.08
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
PLEASE HELP
Find the number of edges on this solid
Answer:
8
Step-by-step explanation:
count the number of solid-black lines.
The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter
perimeter = length plus
breadth
8cm +7cm + 5cm
= 20
What is the domain of function g if g(x)= f(x)-12?
Using translation concepts, it is found that the domain of g(x) = f(x) - 12 is the same domain of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 12, that is, g(x) is a shift down of 12 units of f(x).
The domain of a function is the set that contains all possible input values for the function. A shift down does not add any restriction to the function, hence the domain of f(x) and g(x) are the same.
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Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
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Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?
Answer:
135
Step-by-step explanation:
9*5=45*3=135
Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X
Answer:
[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]
Pls help me answer this question. Picture attached
Answer:
300
Step-by-step explanation:
to find volume u will have to multiply the length x width x breadth which is 5x5x12=300
What is the image point of (4, 6) after the
transformation T5,2 O ry=-x?
Answer:
The image point is (-1,-2)
Step-by-step explanation:
Firstly, we have to reflect the given point over the line y = -x after which we perform the translation using the coordinate (5,2)
Mathematically;
If we reflect a point (x,y) over the line y = -x
we have the coordinate change to (-y,-x)
so, (4,6) becomes (-6,-4)
Then for the translation, we add 5 to the new x-axis coordinate, then add 2 to the new y-axis coordinate
we have this as;
(-6 + 5, 2-4) = (-1,-2)
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
Express y in terms of x in the equation =
Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of boxes with the apples in them.
Answer:
5.4
Step-by-step explanation:
Juss took the test
Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x
Answer:
Combine like terms
Step-by-step explanation:
3x + 6 = 10 + 3x + 4x
Combine like terms
3x + 6 = 10 + 7x
Subtract 3x from each side
3x-3x + 6 = 10 + 7x -3x
6 = 10 +4x
Subtract 10 from each side
6-10 = 10+4x-10
-4 = 4x
Divide by 4
-4/4 = 4x/4
-1 =x
Answer:
3x + 6 = 10 + 7x
is the first step to solving this equation
please help me points and brainliest
Answer:
1/2
D
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]
HELP
Use the definition of continuity and the properties of limits to show that’s the function…
Answer with Step-by-step explanation:
We are given that
[tex]g(x)=(x^2-3x-10)(x^2+2x^2-5x+4)[/tex]
x=-1
Using property of limit
[tex]\lim_{x\rightarrow -1}g(x)=\lim_{x\rightarrow -1}(x^2-3x-10)(3x^2-5x+4)[/tex]
=[tex](1+3-10)(3+5+4)[/tex]
=[tex](-6)(12)[/tex]
=[tex]-72[/tex]
[tex]g(-1)=(1+3-10)(1+2+5+4)[/tex]
[tex]g(-1)=(-6)(12)=-72[/tex]
[tex]\lim_{x\rightarrow -1}g(x)=g(-1)[/tex]
Hence, the function is continuous at x=-1
On the last day of a Shakespeare class, an English teacher asked her students which play
they liked the best, and she recorded the results to date.
2 liked Hamlet
8 liked Twelfth Night
2 liked a Midsummer Night's Dream
What is the experimental probability that the next student to respond likes Hamlet best?
Write your answer as a fraction or whole number
Answer:
ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7
The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
Concept:Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]To find total outcomes, we will add all the students.To find the favorable outcomes, we will count the number of students that likes hamlet.How to solve the given question?Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]Total Outcomes = 2 + 8 + 2 = 12Favorable outcomes = 2∴ [tex]P(E) = \frac{Favourable \ Outcomes }{Total \ Outcomes} = \frac{2}{12} =\frac{1}{6}[/tex]Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
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Bruce Wayne trabaja en un proyecto inmobiliario, éste consiste en un edificio con forma de prisma de base triangular, cuya planta baja se caracteriza por tener una piscina, un gimnasio y una cancha deportiva. Batman tiene este bosquejo de dicho proyecto: Los terrenos destinados para la piscina, el gimnasio y la cancha deportiva son cuadrados, de modo que la superficie de la cancha es de 2.500 m2 y la de la piscina es de 1.600 m2 . ¿Cuál es la superficie destinada al gimnasio?
Answer:
El área del gimnasio sería 2000 metros cuadrados
Step-by-step explanation:
Un lado del gimnasio será igual al lado de la cancha y el otro lado será igual al lado de la piscina.
Dado que tanto la cancha como la piscina tienen forma cuadrada. El lado de la cancha será raíz cuadrada de 2.500 m2 y el de la piscina será raíz cuadrada de 1.600 m2
Por lo tanto, el lado del gimnasio sería 50 y 40.
El área del gimnasio sería 50 * 40 = 2000 metros cuadrados
Need help!! Plz show work
Answer:
19,000
Step-by-step explanation:
because for 1 year its 19,000 just for that year so it would be 19,000
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
Need help on this!!! 10 points!!!
