Light travels at a rate of about 9,460,528,400,000,000 m per year. approximately how many meters does light travel per second? choose one answer
(A) 3x10^8 meters per second
(B)3X10^9 meters per second
(C) 3x10^10 meters per second
Answer:
A
Step-by-step explanation:
In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?
5. The circle graph below shows 500 tickets
sold at a school concert.
17%
Adults
24%
Students
Children Under 12
Seniors
55%
How many tickets were sold to students?
A 55 tickets
B 120 tickets
C 225 tickets
D 275 tickets
Points (3, 2) and (7, 2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which of these statements are true?
1. The graphs of f and g have the same axis of symmetry.
2. The graphs of f and g have the same x-intercepts.
3. The graph of f has a maximum point, and the graph of g has a minimum point.
4. The graph is a result of a reflection of the graph pf g across the x-axis.
Answer: I and III
Step-by-step explanation:
The graphs of f and g have the same axis of symmetry. The graph of f has a maximum point, and the graph of g has a minimum point. The graph is a result of a reflection of the graph pf g across the x-axis. The correct options are 1, 3, and 4.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
We can use the fact that the points (3,2) and (7,2) are on the graphs of both functions to find out which of the given statements are true.
Let's start by using the fact that the graphs of the functions f and g pass through the points (3,2) and (7,2).
Since the y-coordinate is the same for both points, we can set the equations of the functions equal to 2 and solve for the unknown coefficients.
For the downward-opening quadratic function f, the equation is of the form:
[tex]f(x) = a(x - h)^2 + k[/tex]
Where (h,k) is the vertex of the parabola. Since f opens downward, the coefficient a is negative.
Using the point (3,2), we get:
[tex]2 = a(3 - h)^2 + k[/tex]
Using the point (7,2), we get:
[tex]2 = a(7 - h)^2 + k[/tex]
Subtracting the second equation from the first, we get:
[tex]0 = a[(3 - h)^2 - (7 - h)^2][/tex]
Simplifying this expression, we get:
0 = a[(3 - h + 7 - h)(3 - h - (7 - h))]
0 = a[-4(h - 5)]
Since a is non-zero (otherwise the parabola is not quadratic), we get:
h = 5
Plugging in h = 5 and using one of the equations above, we can solve for k:
[tex]2 = a(3 - 5)^2 + k[/tex]
2 = 4a + k
k = 2 - 4a
Therefore, the equation of the quadratic function f is:
[tex]f(x) = a(x - 5)^2 + (2 - 4a)[/tex]
Using the same method for the upward-opening quadratic function g, we get:
[tex]g(x) = b(x - 5)^2 + (2 + 4b)[/tex]
Where b is positive.
Now, let's check which of the given statements are true:
The graphs of f and g have the same axis of symmetry.
Since the vertex of f is (5, 2 - 4a) and the vertex of g is (5, 2 + 4b), the x-coordinate of the axis of symmetry for both functions is 5. Therefore, statement 1 is true.
The graphs of f and g have the same x-intercepts.
The x-intercepts of f are given by:
[tex]0 = a(x - 5)^2 + (2 - 4a)\\4a = a(x - 5)^2[/tex]
x - 5 = ±√(4/a)
x = 5 ± 2√(a)
The x-intercepts of g are given by:
[tex]0 = b(x - 5)^2 + (2 + 4b)[/tex]
-4b = [tex]b(x - 5)^2[/tex]
x - 5 = ±√(-4/b)
x = 5 ± 2i√(b)
Thus, since a and b have opposite signs, the x-intercepts of f and g are different. Therefore, statement 2 is false.
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a. The product of p and 48
How would I write this as an algebraic expression
Answer:
p * 48
Step-by-step explanation:
Lets break this down into something simpler
"The product"
answer to a multiplication problem
"of"
to multiply
"p"
an unknown value
"48"
factor
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!!
Answer:
the volume will be 56 m³
because it is made of 56 cubes of 1m ³ volume
I hope it helps
Answer:
1/3 cubic unit
Step-by-step explanation:
Please help me with this one
Answer:
2/36
Step-by-step explanation:
The only outcomes that lead to a sum of 3 are (2,1) and (1,2) therefore there is only a 2 in 36 chance of rolling a sum of 3
Mr. Ramirez burns 236 calories riding his bike each hour. He wants to burn more than 590 calories riding her bike at the same rate. Which inequality represents all possible values for t, the number of hours Mr. Ramirez must ride his bike to burn more than 590 calories?
Answer:
t > 2.5
Step-by-step explanation:
590/236 = 2.5
t > 2.5
Use the tables to complete the statements,
Single Taxpayers: Income Brackets
Tax Rate Income Bracket
10%
O to 9,525
12% 9,526 to 38,700
22% 38,701 to 82,500
24% 82,501 to 157,500
32% 157,501 to 200,000
35% 200,001 to 500,000
37%
> 500,000
Single Taxpayers: Qualified
Dividends and Long-Term
Capital Gains
Tax Rate
Income Bracket
0%
O to 38,600
15% 38,601 to 425,800
20%
> 425,800
If she earned
Rita has a taxable income of $85,000. She sold stock after owning it for six months, resulting in a
$5,000 on the sale of the stock, Rita must pay $ In taxes on the gain,
Answer:
Short term Capital gain and $1200
Step-by-step explanation:
Any investment held under a year falls under short term capital gain
5,000 X 0.24 = 1,200
Answer:
Short term Capital gain and $1200.
Step-by-step explanation:
short term capitalGains earned by selling assets you’ve held for a year or less are called short-term capital gains, and they generally are taxed at the same rate as your ordinary income, anywhere from 10% to 37%.
Since Rita has a taxable income of $85,000.
So , she fall 24% 82,501 to 157,500 Tax rate bracket.
Therefore 5,000 X 0.24 = 1,200
Thus Rita must pay $1200 in taxes on the Short term Capital gain made by her.
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The lengths of two sides of a triangle are 24 inches and 43 inches. What is the range of the possible lengths, in inches, for the third side, x, of this triangle?
Answer:
19 < x < 67
Step-by-step explanation:
triangle inequality theorem:
x + 24 > 43
43 + 24 > x
The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,
⇒ 19 < x < 67
What is mean by Triangle?Any triangle which is a three sided polygon, and, has three vertices and three angles which has the sum 180 degrees.
We have to given that;
The lengths of two sides of a triangle are,
⇒ 24 inches
And, 43 inches.
Hence, The range of the possible lengths, in inches, for the third side, x, of this triangle is find as;
⇒ 43 - 24 < x < 43 + 24
⇒ 19 < x < 67
Therefore, The range of the possible lengths, in inches, for the third side, x, of this triangle with two sides of a triangle are 24 inches and 43 inches is,
⇒ 19 < x < 67
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Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Annabelle's password is a 3-digit code that uses the numbers 0, 1, and 2. How many possible outcomes are there for Annabelle's password if the digits can repeat itself.
Group of answer choices
21
27
9
3
Answer:
9
Step-by-step explanation:
0,1,2
0,2,1
1,2,0
1,0,2
2,0,1
2,1,0
2,2,2
1,1,1
0,0,0
Do the side lengths 9,12, and 17 form a right triangle?
Answer:
no
Step-by-step explanation:
Using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 17 and 17² = 289
9² + 12² = 81 + 144 = 225 ≠ 289
Then the triangle is not right
11. David's net worth is $45,765.78 and his assets have a value of
$62,784.14. If his assets increase by $2,784.89 and his liabilities
decrease by $3,742.36, what is his net worth?
$69,311.39
$44,808.31
His net worth will not change.
$52,293.03
CLEAR ALL
Answer:
the last one
Step-by-step explanation:
Answer:
D. $52293.03Step-by-step explanation:
Initial values
Net worth is $45765.78Assets $62784.14Liabilities:
$62784.14 - 45765.78 = $17018.36New values
Assets increase:
$62784.14 + $2784.89 = $65569.03Liabilities decrease:
$17018.36 - $3742.36 = $13276His net worth:
$65569.03 - $13276 = $52293.03Correct choice is D
Brianna has a balance of $8,000 on her credit card. After talking to a financial advisor, Brianna decided to get a loan from the bank and discontinue using her credit card. The bank will charge Brianna 3.5% interest. Which of the following could be used to calculate the total repayment on Brianna’s loan after 4 years if she has a monthly payment of $178.85?
A. 4(178.85)
B. 4(12)(178.85)
C. 4(12)(178.85) − 8000
D. 4(8000)(0.035)
(45 points)
(1) It takes 4 eggs for 5 waffles. How many more waffles can 6 eggs make?
(2) A 1-lb. mix will make 32 biscuits. How many ounces of mix are needed for 24 biscuits?
I NEED THIS ASAP!
Answer:
1). 6 eggs = 7.5 waffles 2). 8 ounces for 24 biscuits
Step-by-step explanation:
Can anyone solve for x? Please.
Answer:
[tex] \frac{20}{24} = \frac{22}{x + 22} \\ 24 \times 22 = 20x + 20 \times 22 \\ 20x = 4 \times 22 \\ x = 88 \div 20 = 4.4[/tex]
What is the volume of the triangular prism shown below?
8 cm
3 cm
13 cm
A 143 cm
B 312 cm
C 156 cm
D
Not here
Answer:
156 cm
Step-by-step explanation:
How do you find this answer?
Answer:
if we use Pythagorean method, we could know that A^2+B^2=C^2, so 5^2+12^2 equals 169, and 169 is 13^2
Step-by-step explanation:
NEED HELP ASAP !!
A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°
Answer:
C
Step-by-step explanation:
i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it
3x=30
x=10
Carl has $25.00 to spend o six packs of soda for the dance. If the cost of one-six pack is $2.50, which inequality could be used to represent this relationship?
Answer:
25 ≤ 2.5n
Step-by-step explanation:
Total budgeted amount = $25
Cost per pack of = $2.50
To represent the relationship using inequality :
Let the Total number of packs purchased = n
Hence,
Total budgeted amount ≤ (cost per pack * number of packs)
25 ≤ 2.5n
This means the total actual purchase made should be less than or equal to the budgeted amount.
Can u please help me with this answer ??
Answer:
C) 10 hours
Step-by-step explanation:
(2.5/200)(800) = 10
Carlos has 4.5 pounds of flour she needs three out of 4 pound of flour to make pizza what is the greatest number of pizzas Carlos can make.
Answer:
6 pizzas
Step-by-step explanation:
divide 4.5 by 3/4
In how many ways can 3 red balls , 4 blue balls and
5 white balls be selected from 5 red balls, 5 blue
balls and 7 white balls ?
Answer:
1050 ways
Step-by-step explanation:
Total Number of red balls = 5
Total Number of blue balls = 5
Total Number of white balls = 7
Number of red balls selected = 3
Number of blue balls selected = 4
Number of red balls selected = 5
Using the multiplication and combination relation :
nCr * nCr * nCr
Red balls = 5C3
Blue balls = 5C4
White balls = 7C5
Using calculator:
5C3 * 5C4 * 7C5 = 10 * 5 * 21
(10 * 5 * 21) = 1050 ways
Una muestra de 800 gramos de avellana con cáscara tiene 500 gramos de grano. ¿cuántosgramos de grano habrá en 2,4 kg de avellana con cáscara?
Answer:
1500 grams of grain
Step-by-step explanation:
How many grams of grain will there be in 2.4 kg of shelled hazelnuts?
Step 1
Convert kg to g
1 kg = 1000g
2.4 g = x
Cross Multiply
x = 2.4 × 1000g = 2400g
Step 2
An 800 gram sample of shelled hazelnuts has 500 grams of grain.
Hence,
800g hazelnuts = 500 gram of grain
2400g hazelnuts = x
Cross Multiply
800x = 2400g × 500g
x = 2400g × 500g/800
x = 1500 grams of grain
Claim shape a is a rectangle please help
Answer:
ummkmmmm
Step-by-step explanation:
Answer:
No, the shape is not a rectangle.
Step-by-step explanation:
A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.
Good luck ^^
Christina is making a necklace using beads. She has 20 red, 14 blue, 10 purple, 28 green, and 8 yellow beads. She randomly chooses a bead to start the necklace. What is the probability of Christina choosing a pink bead?
Answer:
0.
Step-by-step explanation:
There is a total of 20 red + 14 blue + 10 purple + 28 green + 8 yellow beads which equal 80 total beads. However, she does not have any pink beads, so the probability of picking one is 0 pink beads / 80 total beads = 0.
Craig filled 1/3 of a bag with black beans and 2/6 of the same bag with red beans. What fraction of the bag did Craig fill with beans?
A.1/3
B.3/9
C.1/2
D.2/3
Answer:
D. 2/3
If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.
Answer:
4/6
Step-by-step explanation:
Make 1/3 into 6 as its denominator.
1 x 2 = 2
3 x 2 = 6
Black beans fill up 2/6 of the bag.
Red beans fill up 2/6 of the bag.
Find out what is the fraction both bags fill up altogether.
2/6 + 2/6 = 4/6
2/7 done! If it’s right I will put brainliest!
Answer:
The name of the marked angle is (angle BAD)
Step-by-step explanation:
Find the area. Round to the nearest tenth.
Answer:
YOU DONT KNOW HOW TO ROUND SMH
Step-by-step explanation:
LEARN KID LEARN CMON ITS EASY
