Answer:
-450
Step-by-step explanation:
Say the first number is x to get the idea.
The first 150 terms are 150x - 5 * 150
15x - 750
300 - 750 = -450
Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?
9 + 40h
9 + h + 40
9h + 40
9 + 40
Answer:
9h+40
Step-by-step explanation:
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.
So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.
(ps. this is my first answer, I apologise if Its not very detailed.)
The expressions best represent Jill's income for the week is 9h+40. The correct option is C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-
Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.
Her original 40$ and her 9$ from every hour can be written together as below:-
40 + 9h or 9h + 40.
Therefore, the expressions best represent Jill's income for the week is 9h+40. The correct option is C.
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The probability that Paul wins in a raffle is given by the expression
p.
Write down an expression for the probability that Paul does not win.
Answer:
[tex]1 - p[/tex]
Step-by-step explanation:
Consider the [tex](\Omega, \mathcal{F}, \mathbb{P})[/tex] where [tex]\mathcal{F}[/tex] is sigma algebra and [tex]\mathbb{P}[/tex] is probabilistic measure. Denote [tex]A \subset \Omega[/tex] where Paul wins. By additivity of measure we know that
[tex]\mathbb{P}(A) + \mathbb{P}(\Omega \setminus A) = \mathbb{P}(\Omega) = 1[/tex].
So
[tex]\mathbb{P}(\Omega \setminus A) = 1 - \mathbb{P}(A) = 1 - p[/tex].
But [tex]\Omega \setminus A[/tex] is exactly the set where Paul does not win. Q.E.D.
What is the standard form for the quadratic function? g(x)=(x+1)2−2 g(x)=x2−1 g(x)=x2−2x−4 g(x)=x2+2x−1 g(x)=x2−3
Answer:
x^2 + 2x - 1
Step-by-step explanation:
g(x)=(x+1)2−2 would be a quadratic if you'd write it like this: g(x)=(x+1)^2−2.
This expands to g(x) = x^2 + 2x + 1 - 2 = x^2 + 2x - 1
Please help me solve number 14 and 15
Answer:
Step-by-step explanation:
Similarity property,
" If the two triangles are similar then their corresponding sides will be proportional."
14). If ΔPQR ~ ΔUVW,
[tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}
[tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]
[tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex] [True}
Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]
15). If ΔFHE ~ ΔDHG,
[tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]
[tex]\frac{24}{6}=\frac{36}{9}[/tex]
4 = 4
Therefore, ΔFHE ~ ΔDHG [Theorem - AA]
Ash and Misty are both travelling by train. Ash's train travels 80 km in 50 minutes. Misty's train travels 160 km. It leaves at 12:35 and arrives at 15.05. Work out the difference, in km/h, between the average speed of their trains.
Answer:
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Step-by-step explanation:
For Ash's Train;
Distance travelled d1 = 80km
Time taken t1 = 50 minutes = 5/6 hour
Average speed = distance travelled/time taken
v1 = d1/t1
Substituting the values;
v1 = 80/(5/6)
v1 = 96km/h
For Misty's train;
Total distance travelled d2 = 160 km
Time taken t2 = 15:05 - 12:35 = 2 hours 30 minutes
t2 = 2.5 hours
v2 = d2/t2 = 160/2.5
v2 = 64 km/h
the difference, in km/h, between the average speed of their trains is;
∆v = v1 - v2 = 96km/h - 64 km/h = 32 km/h
∆v = 32 km/h
the difference, in km/h, between the average speed of their trains is 32 km/h.
Answer:
32km/h
Step-by-step explanation:
Can somebody help me with this ?? :)
Answer:
A. 14
Step-by-step explanation:
Since they are congruent, triangle TUV just needs to be flipped around to find the length of UV.
Answer:
14 inches
Step-by-step explanation:
For these problems you just have to flip the image in your head to picture what the image will look like the other way around. If you flip it, you can see it's congruent to RS which measures 14 inches long. Therefore, it's 14 inches long.
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
What is 25 x 10^6 in standard form
Answer:
25 x 10^6 in standard form
= 25,000,000
Step-by-step explanation:
brainleist!
Answer:25,000,000
Step-by-step explanation:
Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)
Answer:
529 plan
Step-by-step explanation:
The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses
Answer:
529 plan
Step-by-step explanation:
A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.
22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144
Answer:
100
Step-by-step explanation:
Let's convert both numbers into fraction form.
let x=8.33 bar
x=8.33 bar
10x=83.33 bar
9x=75
x=25/3
[tex]\sqrt{144}=12[/tex]
[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]
The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.
Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:
= 25/3 × √144
= 25/3 × 12/1
= 25 × 4
= 100
Therefore, the value is 100.
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Using the frequency table below, what is the probability of people that are not boys? 10% 20% 30% 50%
Answer:
50%
Step-by-step explanation:
Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.
I would greatly appreciate the help of these two questions!!
Please hurry? :')
Answer:
b
Step-by-step explanation:
Δ QRP and Δ XRY are similar, thus ratios of corresponding sides are equal, that is
[tex]\frac{XY}{QP}[/tex] = [tex]\frac{RY}{RP}[/tex] , substitute values
[tex]\frac{XY}{4}[/tex] = [tex]\frac{4}{8}[/tex] ( cross- multiply )
8XY = 16 ( divide both sides by 8 )
XY = 2
Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A.) addition property of equality B.) subtraction property of equality C.) multiplication property of equality D.) division property of equality
To solve the given equation, we will use the addition property of equality.
What is the addition property of equality?The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.
For numbers a, b, and c, if a = b then a + c = b + c.
Given is an equation, x - 5 = -14,
We are asked to identify, that, which property of equality was used to solve this equation,
Solving the equation,
x - 5 = -14
Add 5 to both sides,
x-5+5 = -14+5
x = -9
Since, we used addition, therefore, this property is addition property of equality.
Hence, to solve the given equation, we will use the addition property of equality.
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If Connie deposits $100 into a savings account with a 3% annual interest rate and doesn't withdraw any of the money for 2 years, what will her balance be at the end of 2 years?
Answer:
The final amount/ her balance after two years is $106.09Step-by-step explanation:
We are going to assume that the balance compounds every year
applying the compound interest formula we have
[tex]A= P(1+r)^t[/tex]
where
A, final amount
P, Principal= $100
r, Rate= 3%= 0.03
T, time= 2years
substituting our values into the formula we have
[tex]A= 100(1+0.03)^2\\A=100(1.03)^2\\A=100*1.0609\\A=106.09\\[/tex]
The final amount/ her balance after two years is $106.09
pls answer. i will mark as branliest
Answer:
The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:
x = 38 + 79 which simplifies to x = 117°.
Answer:
117 degrees
Step-by-step explanation:
38* is one inside angle
to find the other you got to find the rest if you do 180-101 you get 79.
all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117
OK sorry i had it wrong apparently i cant read
The third term in a sequence is 11.
The term-to-term rule is "take away 4".
Write an expression, in terms of n, for the nth term of the sequence.
Answer:
sequence is 19, 15, 11 ....
so nth term is : -4n+(19+4)
therefore : -4n + 23
Answer:
-4n + 23
Step-by-step explanation:
h=(-5) answer needed now!!!!
Answer:
-2
Step-by-step explanation:
h(-5) represents the y value when x is -5.
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 823, makes the most sense
Answer:
He's wrong, he should have divided both sides by 3
b≤8.66666
Step-by-step explanation:
Answer:
Mr. Jamieson plans to put some 3-pound math books in a box that can hold 26 pounds or less. The inequality 3b ≤ 26 describes the situation. Which statement about his solution, b ≤ 8 2/3, makes the most sense?
Step-by-step explanation:
i’ve tried multiple ways to answer this question, and i’m so stuck! :( could anyone help me please!
Answer:
160 ounces
Step-by-step explanation:
32 ounces x 5=160 ounces
A function is represented by the table. x y 3 -2 5 -26 7 -50 The rate of change of the function represented in the table is . For the given x- and y-values, the function is .
Answer:
Step-by-step explanation:
Here is your x/y table, a bit more organized:
x | 3 5 7
y | -2 -26 -50
The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:
Between the first 2 coordinates (3, -2) and (5, -26):
[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]
Between coordinates 2 and 3 which are (5, -26) and (7, -50):
[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]
The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:
[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:
[tex]y-(-2)=-12(x-3)[/tex] and
y + 2 = -12x + 36 and
y = -12x + 36 - 2 so the equation for the line in slope-intercept form is
y = -12x + 34
Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!
Answer:
hi its -12 and decreasing.
If polygon COLD is congruent to polygon WARM and the area of polygon WARM is 28 square feet, what is the area of polygon COLD
Answer:
28 sqr feet.
Step-by-step explanation:
Congruent means equal to. So Cold = Warm for some given property (Area in this case).
28 ft^2 is the answer
I'll give BRAINLIEST!!
Answer:3
Step-by-step explanation:
The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.
The answer is 3
2. Find the LCM of 3, 11, and 12.
O 396
0 264
O 132
O 33
Answer:
132
Step-by-step explanation:
3 x 44= 132
11 x 12 = 132
Answer:
C)132
Hope this helps
Explanation) LCM(3, 11, 12) = 132
A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
Find the number of sides of a polygon if each interior angle is 150°
Answer:
12
Step-by-step explanation:
The interior angle and exterior angle sum to 180° , thus
exterior angle = 180° - 150° = 30°
The sum of the exterior angles of a polygon = 360° , thus
number of sides = 360° ÷ 30° = 12
What are TWO equivalent expressions for 2(3j+ 5 + 6j) Remember I need TWO equivalent expressions.
Answer:
Hope it helps:) 18j+10
Step-by-step explanation:
(2)(3j+5+6j)
(2)(3j)+(2)(5)+(2)(6j)
6j+10+12j
18j+10
Help me real quick plz, will give more points and 5 star rate if right answer is given.
Step-by-step explanation:
I think D
But I am not sure
sorry unknowingly I typed option A
Answer:
D
Step-by-step explanation:
Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.
Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
I NEED HELP ASAP! THANKS :)
Answer: A) stretched vertically by 2 and shifted up 6 units
Step-by-step explanation:
y = A log(Bx - C) + D where
A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)Given: f(x) = log x
g(x) = 2 log x + 6
→ A = 2 vertical stretch by a factor of 2
→ D = +6 vertical shift UP 6 units
If the sum of first 9 terms of an A.P is equal to sum of its first 11 terms, then what is the sum of its 20 terms?
Pls Anyone help me!!
Answer:
Put the values into the formula....let me know if you need help....
Step-by-step explanation:
Answer: 0
Step-by-step explanation:
Sum of the first 9 terms = 9/2 (2a + 8d)
Sum of the first 11 terms = 11/2 (2a + 10d)
S9 = S11
9a + 36d = 11a + 55d
2a = -19d
2a + 19d = 0...........(1)
S20 = 20/2 (2a + 19d)
= 20/2 (0) . .. ............from (1)
S20 = 0