Answer:
46 cards
Step-by-step explanation:
We can use a variable to represent the starting amount of cards: (x)
Keith bought 4 new cards: (+4)
His dog ate half of the collection: (x/2)
There are now 25 cards: (=25)
So we can use this expression to find the starting amount: (x+4)/2=25
Start by multiplying both sides by 2 to get rid of the (x/2).
Now subtract 4 from both sides to get rid of the (+4).
Finally, we know x= 46
Thus, Keith started with 46 cards.
WILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
Divide £121 in the ratio 2:9.
is this one of your answer choice?
Let F(x)=∫
t−3
t
2+7
for − ∞ < x < ∞
x
0
(a) Find the value of x where F attains its minimum value.
(b) Find intervals over which F is only increasing or only decreasing.
(c) Find open intervals over which F is only concave up or only concave down.
(a) It looks like you're saying
[tex]\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt[/tex]
Find the critical points of F(x). By the fundamental theorem of calculus,
F'(x) = x - 3x² + 7
The critical points are where the derivative vanishes. Using the quadratic formula,
x - 3x² + 7 = 0 ⇒ x = (1 ± √85)/6
Compute the second derivative of F :
F''(x) = 1 - 6x
Check the sign of the second derivative at each critical point.
• x = (1 + √85)/6 ≈ 1.703 ⇒ F''(x) < 0
• x = (1 - √85)/6 ≈ -1.370 ⇒ F''(x) > 0
This tells us F attains a minimum of
[tex]F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}[/tex]
(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.
• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0
• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0
• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0
This tells us that
• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)
• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)
(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :
F''(x) = 1 - 6x = 0 ⇒ 6x = 1 ⇒ x = 1/6
Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.
• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0
• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0
This tells us that
• F(x) is concave up over (-∞, 1/6)
• F(x) is concave down over (1/6, ∞)
help plssssssssssssssssss
Answer:
Diagonal and horizontal lines
Step-by-step explanation:
To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.
Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.
This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.
During a Lynx basketball game, the ratio of baskets made to baskets attempted was 2 to 3. The Lynx made 88 baskets. How many baskets did they attempt?
the question is what is 4p - 9
Answer:
4xp-9
Step-by-step explanation:
What is the length of XY?
Answer:
XY = 11.25
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
XY/5 = 18/8
XY = 5(9/4) = 45/4
XY = 11.25
3x-9=2(x-14)
show me the steps to do this
Answer:
x=-19
Step-by-step explanation:
3x-9=2(x-14)
3x-9=2x-28
x-9=-28
x=-19
Simplify 4.510. (25 points)
a
4.51
b
1
c
0
d
−1
Answer:
A-4.51
Step-by-step explanation:
I was going to ask to what place but then I saw all the others wouldn't make sense.
Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?
Answer:
$1155
Step-by-step explanation:
10% of the first $900 is $90.
The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.
Add them together to get $1155.
Find the 11th term of the arithmetic sequence 10,-40,160,….
Answer:
10,485,760
Step-by-step explanation:
Multiply -4
Find the arc length for arcs of circles as follows:
radius: 12 inches
central angle: radians
- - -
Answer:
≈ 11.78 in
Step-by-step explanation:
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × [tex]\frac{\frac{\pi }{4} }{2\pi }[/tex] ( cancel 2π on numerator/ denominator )
= 15 × [tex]\frac{\pi }{4}[/tex]
= [tex]\frac{15\pi }{4}[/tex]
≈ 11.78 in ( to 2 dec. places )
Approximately what portion of the beaker is filled?
A.3/4
B. 1/2
C. 5/9
Answer:
The answer which I think is 3_4
TRUE OR FALSE
There are whole numbers that are not integers.
There are rational numbers that are not whole
numbers.
All rational numbers are integers.
All whole numbers are rational numbers.
ANSWERS:
[tex]1. False \\ 2. True \\ 3. False \\ 4. True \\ [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
How many ounces of juice would you need for 5 ounces of berries
Answer: 4oz
Step-by-step explanation:
please help me with the question please ☹️
Answer:
the last one
Step-by-step explanation:
because those are oppiste poles
simplify\:\frac{\sqrt{5}}{\sqrt{3}}
[tex]\dfrac{\sqrt 5}{\sqrt 3} =\sqrt{\dfrac 53} \approx 1.291[/tex]
In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).
Using it's concept, the sample space for the experiment is:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.The sample space is the set that contains all possible outcomes for an experiment.
In this problem:
For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, BlueHence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:
{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}
The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.
You can learn more about sample space at https://brainly.com/question/25861936
-6 • f(-3) - 5 • g(-7) =
please help
Answer:
18f+35g
Step-by-step explanation:
Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.
What is the measure of angle DCE? Use numbers only.
Answer:
156 degrees
Step-by-step explanation
First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.
Hope this helps!
Help me pleaseeeee?????
Answer:
The data covers 58 to 86 = 28 for the total distance
Each quartile will occupy a difference of 28/4 = 7
58 - 65 = first quartile (or lower quartile)
65 - 72 = second quartile
72 - 79 = third quartile
79 - 86 = fourth quartile (or upper quartile)
Notice that the first quartile ends at 65 and the second quartile starts at 65
If you divide a straight line accordingly there must not be an empty space between the first and second quartile to be all inclusive
The median is the middle point or 58 + 14 = 72
14 points lie in the range of 58 to 72 and
14 points lie in the range of 72 to 86
Which expression is a sum of cubes?
0-24a15 +125018
-64a27 +08
O
- 3x + 6
81X4+ + By
8y40
This would be C because 27 and 1 are the only factors that can be cubed (remember, when there is no number, 1 is represented)
Answer: C
Step-by-step explanation:
Simplify the expression by combining like terms.
6x + 9 + 2x + 4
Does anyone know the answer?
Answer:
8x + 13
Step-by-step explanation:
"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .
9+4 is 13 just like elementary school.
So all together,
6x + 9 + 2x + 4
6x + 2x + 9 + 4
8x + 13
We can rearrange the terms because the problem has all addition in between the terms.
Solve the following exponential equation:
5^x=2
e^x=10
Number 1.
[tex]5^x=2[/tex], first we will take the [tex]log[/tex] of both of these numbers getting us,
[tex]x=\frac{log(2)}{log(5)}[/tex], which then gives us that [tex]x=0.4306777777....[/tex]
Number 2
[tex]e^x=10[/tex], solve for our exponent, [tex]2.718282^x=10[/tex], use the logarithmic formula, and we get,
[tex]x=\frac{log(10)}{log(2.718282)}[/tex], which then we get that [tex]x=2.302585[/tex]
At a video arcade, the action video games this week cost $25, which is 125% of last week's price. What was its price last week?
A. $20
B. $15
C. $40
D. $25
Answer:
A
Step-by-step explanation:
125% of 25 is the same as 5/4 of 25.
Divide by 5 and you get 5. 1/4 is 5, so 100% or 4/4 is 20
Answer:
it's a
Step-by-step explanation:
trust
Mr. Factor bought 9.8 gallons of gasoline at $1.15 a gallon. How much did he pay for the gasoline?
Answer:
8.52
Step-by-step explanation:
9.8 divided by 1.15 = 8.52
WILL GIVE BRAINLIEST
Answer:
it is d
Step-by-step explanation:
correct?`````````````````````````````
Answer:
Yes
Step-by-step explanation:
3. A rectangular deck has an area of 24 square yards. The length of the deck is shown in the figure. What is the width of the deck in yards? Enter your answer in the box.
Answer:
can you please send the picture as well because for this
(The length of the deck is shown in the figure.=??)
figure is needed ..
Your family has a total of 60 t-shirts and you decide to give some away. If 4 of the t-shirts are being worn right now, and there are 25 t-shirts left in the family's closets, how many t-shirts did your family give away?
31
If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts