Answer: f(0)=-5
Step-by-step explanation:
f(0) means that x = 0
sub in 0 into the equation
f(0)=-0-5
f(0)=-5
Answer:
f(0) = -5
Step-by-step explanation:
Given f(x) = -x - 5
In order to find f(0), you need to replace x with 0
so f(0) = -(0) - 5
f(0) = -5
When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object
with mass 4 kg, the acceleration of the object is 9 m/s². When the same force acts upon another object, its acceleration is 6 m/s². What is the mass of this
object?
Step-by-step explanation:
a = k/m or ma = k
using 4 and 9 4* 9 = k = 36
then the equation becomes:
ma = 36
using a = 6
6 * m = 36 shows m = 6 kg
A student has a penny, nickel, dime, and a quarter. She flips them all simultaneously and checks for heads or tails. What is the probability that all four coins will come up heads
Answer:
1/ 16
Step-by-step explanation:
Flipping a coin = HT ( 2 possibilities)
Hence, total possibility (n) of flipping 4 coins
n = 2^4 = 2 * 2 * 2 * 2 = 16 possible outcomes
(HHHH, THHH, HHHT, THHT, HHTH, THTH, HHTT, THTT, HTHH, TTHH, HTHT, TTHT, HTTH TTTH, HTTT, TTTT
Probability (A) = required outcomes of A / total possible outcomes
Hence, probability that all coins comes up head :
Number of required outcome = 1
Total possible outcomes = 16
Hence,
P(all heads) = 1/16
Using the binomial distribution, it is found that there is a 0.0625 = 6.25% probability that all four coins will come up heads.
For each coin, there are only two possible outcomes, either it is heads, or tails. The outcome of each coin is independent of other coins, hence, the binomial distribution is used to solve this question.
What is the binomial probability distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
A coin is equally as likely to come heads or tails, hence \(p = 0.5\).The student has 4 coins, hence \(n = 4\).The probability that all four coins will come up heads is P(X = 4), hence:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 4) = C_{4,4}.(0.5)^{4}.(0.5)^{0} = 0.0625\)
0.0625 = 6.25% probability that all four coins will come up heads.
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*Which
.............
Answer:
If the first one is a, next is b, ect., then answer is C
Step-by-step explanation:
Just take the first thing. Distributive property and it goes to 9x. From there only one choice has 9x, so ez.
You work with 3 other students on a project for science class. Your group
zarns 329 points, or 94%, of the total possible points. How many points are
possible for the project?
Answer:
350 points are possible
Step-by-step explanation:
You take 329 divided by 94% or .94 to get 350.
100% of 350 is 350
To double check, 94% of 350 is 329 & 6% of 350 is 21. 329 +21 = 350
The function f(x) = 2x^3 + 3x^2 is:
(a) even
(b) odd
(c) neither
(d) even and odd
Answer:
neither
Step-by-step explanation:
First we must determine if both x and -x are in the domain of the function
since it is a polynomial function our first condition is satisfied
Then we should calculate the image of -x :
2x(-x)^3 + 3*(-x)² = -2x^3+3x²
it is not equal to f(x) nor -f(x)
What is the area of this rectangle?
8 cm
5 cm
5 cm
8 cm
Answer:
40cm^2
Step-by-step explanation:
Ik Im right
Answer: 40 cm
Step-by-step explanation:
Find the quotient of 3/5 3/7. Write your answer in the simplest form.
\(\cfrac{3}{5}\div\cfrac{3}{7}\implies \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{5}\cdot \cfrac{7}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{7}{5}\implies 1\frac{2}{5}\)
Recall the formula V = four-thirds pi r cubed.
Answer:
1308.33
Step-by-step explanation:
In the pic
The scatter plot and line of best fit below show the length of 12 people's femur (thelong leg bone in the thigh) and their height in centimeters. Based on the line of bestfit, what would be the predicted femur length for someone with a height of 164 cm?Answer: ____ cm.
The femur length for someone with height 164cm can be predicted by the nature of the equation of the line.
using the equation of the line in slope format we can get this
\(\begin{gathered} \frac{164-150}{y-39}=\frac{150-143}{39-36}=\frac{7}{3} \\ \frac{14}{y-39}=\frac{7}{3} \\ \text{cross multiply} \\ 52=7(y-39) \\ 52=7y-273 \\ 7y=\text{ 325} \\ y=46.4\text{ cm} \end{gathered}\)Therefore the graph predicts a femur length of 46.4 cm for a height of 164 cm
10 points4) Monica has 3 quarters, 2 dimes, 3 nickels, and 1 penny. Which tableshows all of the possible outcomes if she selects 2 coins at one time?АСCoin OutcomesQuartor DimeQuarter NickelQuarter PonnyDimo QuarterNickelPennyCoin OutcomesQuarter QuarterQuarter DimeDime NickelNickel PennyBDCoin OutcomesQuarter QuarterQuarter DimeDime PonnyDime NickelNickel PennyCoin OutcomesQuarter QuarterQuarter DimeQuarter NickelQuarter PennyDimo DimoDimo NickolDimo PennyNickel NickelNickol Penny
ANSWER:
D.
STEP-BY-STEP EXPLANATION:
In this case, we have the following:
3 quarters, 2 dimes, 3 nickels, and 1 penny.
Let Q, quarters
Let D, dimes
Let N, nickels
Let P, penny
Now,
Since there is only 1 penny, it cannot go out twice.
But in the case of Q, D and N, if they can come out twice, there are more than one.
Then you could choose one of each, just like this:
QD
QN
QP
DN
DP
NP
Therfore, the option that includes all those options is the last option D.
Elisa starts baking a pie at 11:25 a.m.
The pie needs to bake for 45 minutes.
What time will the pie be done?
Answer:
12.10 pm
Step-by-step explanation:
just take the 45 minutes she uses to bake and add to the time she starts
11.25 a.m+45
12.10 pm
Which choice represents the expression below as a single exponential
expression?
7^3•7^6
If you are adding them together, the answer would be 7^9
If you are solving the problem, the answer would be 40,353,607
A traveler standing at the intersection of Green Avenue and Wyoming Street wants to walk to the State Building. The traveler knows that the State Building is 8 blocks from the intersection of Orovada Street and Washington Avenue. She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue. If the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue, how much further must she walk to reach the State Building?
The traveler must walk 17 blocks to reach the State Building.
Solving for how much further must she walk to reach the State Building:The traveler needs to walk 8 blocks from the intersection of Orovada Street and Washington Avenue to the State Building.
She also knows that the intersection of Orovada Street and Washington Avenue is 5 blocks from the intersection of Wyoming Street and Washington Avenue, so she needs to walk 5 blocks from the intersection of Wyoming Street and Washington Avenue to the intersection of Orovada Street and Washington Avenue.
Also, the traveler had to walk 4 blocks to get from the intersection of Wyoming Street and Green Avenue to the intersection of Orovada Street and Green Avenue.
Therefore, the traveler must walk 8 + 5 + 4 = 17 blocks to reach the State Building.
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The frequency table shows the results of a survey about favorite exhibits. Find the relative frequency that a randomly selected student's favourite exhibit was either dinosaurs, or planets, express your answer as a decimal.
Butterfly: 12
Dinosaurs: 25
Planets: 17
Trains: 6
The relative frequency that a randomly selected student's favorite exhibit was either dinosaurs, or planets is 0.7.
How do we find the relative frequency?To find the relative frequency, we will divide the number of students who chose dinosaurs or planets by the total number of students surveyed.
The total number of students surveyed is 12 + 25 + 17 + 6 = 60.
The number of students who chose dinosaurs or planets is 25 + 17 = 42.
Therefore, the relative frequency will then be 42 / 60 = 0.7.
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Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33
How many $10 bills are the same as one $100 bill?
Answer:
10
Step-by-step explanation:
10
The answer is 10. I am certain that its 10.
Step-by-step explanation:
$10×10=$100
\the incenter is a point of
Step-by-step explanation:
The point formed at the intersection of the three angle bisectors of a triangle; also the centre of the incircle.
Factor the four-term polynomial by grouping.
12x3 - 20x2 + 9x – 15
Answer:
(4x^2+3)(3x-5)
Step-by-step explanation:
4x^2(3x-5)+3(3x-5)=(4x^2+3)(3x-5)
On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?
Black & Decker Manufacturing sold a set of saws to True Value Hardware. The list price was $3,800. Black & Decker offered a chain discount of 8/3/1. The net price of the saws is:
The net price of the saws that Black & Decker Manufacturing sold to True Value Hardware on a chain discount of 8/3/1 is $3,357.21.
What is a chain discount?A chain discount refers to a type of discount offered to customers, which is sequentially applied to the list price to arrive at the net price.
Chain discounts involve a series of trade discounts applied in sequence.
Data and Calculations:List price = $3,800
Chain discount = 8/3/1
First net price = $3,496 ($3,800 x 1 - 8%)
Second net price = $3,391.12 ($3,496 x 1 - 3%)
Third net price = $3,357.21 ($3,391.12 x 1 - 1%)
Thus, the net price based on a chain discount of 8/3/1 is $3,357.21.
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the target temperature for a laboratory is 71° f. it can vary by up to 3°. if t is the temperature in the laboratory, which of the following inequalities represents this situation?
Answer:
|t-71| < 3
Step-by-step explanation:
The inequalities represents this situation is | t - 71 | < 3 .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size
According to the question
The target temperature for a laboratory = 71° f.
it can vary by up to 3°. (highest limit)
the temperature in the laboratory represented by t
Now,
inequalities represents this situation is
| t - 71 | < 3
Hence, the inequalities represents this situation is | t - 71 | < 3
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Leah works at an appliance store. She recorded her recent sales.
washing machines 3
dishwashers 1
ovens 6
clothes dryers 5
What is the experimental probability that the next appliance Leah sells will be an oven?
6/15
you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.
NEED HELP NOW DUE TODAY
Warren is building shelves for his 3-D printed model collection. He has a piece of wood that is 4.5 feet long. After cutting five equal pieces of wood from it, he has 0.7 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the five pieces of wood he cut. (1 point)
Part B: Explain how you know the equation from Part A is correct. (1 point)
Part C: Solve the equation from Part A. Show every step of your work. (2 points)
Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5
Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.
What is equation?It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.
Part A:
The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.
Part B:
The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).
This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.
Part C:
Solving the equation from Part A:
x + 0.7 = 4.5
Subtract 0.7 from both sides:
x + 0.7 - 0.7 = 4.5 - 0.7
x = 3.8
Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.
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solve for 8v = 3v + 25
Answer:
v = 5
Step-by-step explanation:
Collect like-terms:
\(8v = 3v + 25\)
\(8v - 3v = 25\)
\(5v = 25\)
Divide both sides by 5 to make v the subject:
\(v = 5\)
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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Given the points P (3, 5) and Q (-5, 7) on the cartesian plane such that R (x, y) is
the midpoint of PQ, find the equation of the line that passes through R and
perpendicular
to PQ.
Answer:
-22=22
Step-by-step explanation:
3,5-5,7=
-22/22
The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.
The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.
The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.
So, the coordinates of the midpoint R are (-1/2, 6).
Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:
(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)
Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:
(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))
Simplifying the equation:
(y - 6) = (2 / -8) \(\times\)(x + 1/2)
(y - 6) = -1/4 \(\times\)(x + 1/2)
4(y - 6) = -x - 1/2
Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.
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What translation would map C onto A?
A. (x – 7, y + 3)
B. (x + 3, y – 7)
C. (x – 3, y + 7)
D. (x + 7, y – 3)
Answer:
A
Step-by-step explanation:
consider the coordinates of points C and A
C (4, - 1 ) and A (- 3, 2 )
4 → - 3 in the x- direction is - 7
- 1 → 2 in the y- direction is + 3
then the translation rule is
(x, y ) → (x - 7, y + 3 )
Solve for the missing variable. Round to the nearest tenth.
Answer:
x = 4y ≈ 10.8Step-by-step explanation:
In this geometry, the triangles are similar. That means corresponding sides are proportional:
short side/long side = x/10 = 10/25
x = 100/25 = 4 . . . . multiply by 10
__
hypotenuse/short side = y/x = (x+25)/y
y² = 4(29) = 116 . . . . . use 4 for x; cross multiply
y = √116 ≈ 10.8
152 feet in 16 seconds
Answer:
I'm not sure what you're asking but that is 9.5 feet per second.
Step-by-step explanation:
152÷16=9.5
Answer:
if you are asking about the unit rate it is 9.5 feet per second
Step-by-step explanation:
You just have to do 152/16
hope this helps
Make sure you simplify -2(m+3)
Answer:
-2m-6
Step-by-step explanation:
-2 x 1 m= -2m
-2 x 3= -6
-2m-6
Answer:
-2m-6
Step-by-step explanation:
-2(m+3) =
-2*m + -2*3 =
-2m -6