Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1find the surface area of each figure (spheres and hemispheres)
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Which number line represents the solution to 2x + 3 <5?
Answer:
It should look something like what I attached
Hope this helps!! :)
Find the volume of a pyramid with a square base, where the area of the base is
12.2 m² and the height of the pyramid is 12.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
50.0 cm²
Step-by-step explanation:
Applying
Volume of a pyramid (V) = 1/3×Area of the base(A')×Heigth(H)
A= 1/3A'h.................... Equation 1
A' = Area of the base, h = height of the pyramid
From the question,
Given: A' = 12.2 m², h = 12.3 m
Substitute these values into equation 1
A = 1/3(12.2×12.3)
A = 50.02
A = 50.02 cm²
A = 50.0 cm²
The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kilometers can the tortoise walk in 1 hour?
Write your answer as a decimal.
Answer:
3,098
Step-by-step explanation:
when you do the ,ath you will get it
find the are of the trapizoind
9514 1404 393
Answer:
7.5 square units
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.
Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...
A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units
ASAP!!!! Which is the minimum or maximum value of the given function?
Complete the dilation centered at A with a scale factor of 1/2.
Answer:
A'=(5/2,-5/2)
therefore A'(2.5,-2.5)
Step-by-step explanation:
If you roll a standard die one time, what is the probability that it will land on a 5?
Answer:
1/6
Step-by-step explanation:
A standard dice has 6 numbers. Convert it as a fraction, and you get 1/6 per probability of a number.
When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 11 days by 49 workers. How
many days would it take to build a similar house with 7 workers?
Answer: 77 days
Step-by-step explanation:
Tracey paid $165 for an item that was originally priced at $570. What percent of the original price did Tracey pay? Round to the nearest tenth of a percent. percent
Answer:
28.9%Step-by-step explanation:
[tex]\frac{165}{570}[/tex] = 0.2894
multiply by 100 to turn into percentage
How many tons are equal to 48,000 pounds?
Answer:
A ton is 2,000 pounds, so the answer is 24 Tons
Answer:
24 tons
Step-by-step explanation:
1 ton = 2,000 pounds
[tex]\frac{1}{2,000} :\frac{y}{48,000}[/tex]
y × 2,000 = 48,000 × 1
2,000y = 48,000
2,000y ÷ 2,000 = 48,000 ÷ 2,000
y = 24
1) Which choice best represents the height of a box of cereal? A. 30 millimeters B. 30 centimeters C. 30 kilometers D. 30 meters
Answer:
30 centimeters
SHEEEEEEEEEEEEEEEEEEEESH
Find the area of the regular figure
Answer:
83.3
Step-by-step explanation:
Instead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is
Answer:
"0.9739" is the correct answer.
Step-by-step explanation:
The given values are:
The ratio of true to false effects,
= 0.07
The power of study,
= 0.8
Alpha level,
= 0.05
Now,
The percentage of effects proved as significant will be:
= [tex]0.8\times \ 70 \ percentage[/tex]
= [tex]0.56[/tex]
0r,
= [tex]56[/tex]%
The percentage of false effects will be:
= [tex]0.05\times 30 \ percent[/tex]
= [tex]0.015[/tex]
or,
= [tex]1.5[/tex]%
The total effects will be:
= [tex]56+1.5[/tex]
= [tex]57.5[/tex]%
hence,
The probability that this effect is real will be:
= [tex]\frac{56}{57.5}[/tex]
= [tex]0.9739[/tex]
Find the area of each figure. Round to nearest tenths
Point Pis the circumcenter of A XYZUse the lengths of PX and
PY to find the length of PZ. Show (or explain) all of your work!
PX - 3x + 2
PY - 4x - 8
Answer:
The length of the line segment PZ is 32 units.
Step-by-step explanation:
If P is the circumcenter of [tex]\triangle XYZ[/tex], then the measures of line segments PX, PY and PZ are the same of the radius of the circle, in which is inscribed in, meaning that measures of the three line segment are equal:
[tex]PX = PY = PZ[/tex] (1)
If we know that [tex]PX = 3\cdot x + 2[/tex] and [tex]PY = 4\cdot x - 8[/tex], then we solve (1) for [tex]x[/tex]:
[tex]3\cdot x + 2 = 4\cdot x - 8[/tex]
[tex]x = 10[/tex]
Then, the length of PZ is:
[tex]PZ = 3\cdot x + 2[/tex]
[tex]PZ = 3\cdot (10) + 2[/tex]
[tex]PZ = 32[/tex]
The length of the line segment PZ is 32 units.
please xplain and help with answers
Step-by-step explanation:
for mixed number to a improper fraction you take the whole number and times that by the denominator and add the numeriator
for example
[tex]8 \frac{3}{8} [/tex]
8 x 8 = 64
64 + 3 = 67
and after you get your last number (67) you put that over your original denominator which is 8 so it would be
[tex] \frac{67}{8} [/tex]
for the improper to mixed you see how many times you denominator goes into your numerator
another example is
[tex] \frac{13}{7} [/tex]
7 goes into 13 twice so your whole number is 2 and you have a remaining 1 so it would look like
[tex]2 \frac{1}{7} [/tex]
Answer:
A) 9/4
B) 67/8
C) 17/6
D) 9/2
E) 16/3
F) 127/12
G) 37/4
H) 41/6
Q) Whole Number: 1 Fraction: 6/7
R) Whole Number: 4 Fraction: 1/2
S) Whole Number: 1 Fraction: 8/9
T) Whole Number: 2 Fraction: 1/3
U) Whole Number: 2 Fraction: 3/7
V) Whole Number: 3 Fraction: 1/3
W) I am not 100% sure for this one but I think it's right.
Mixed Number - Whole Number: 1 Fraction: 5/8
Improper fraction - 13/8
Step-by-step explanation:
With improper fractions the first thing that you want to do is multiply the whole number with the denominator (the number on the bottom of the fraction), then add the numerator (the number on the top of the fraction). You also want to keep the denominator the same in both fractions.
When working with converting mixed fractions into improper fractions it is kind of the opposite, but it is a little harder to explain. Let's take letter Q as an example. If you know that you cannot divide the numerator and the denominator in anyway to make a whole number, the whole number will become a one and the numerator is how many are left. so in this case the answer for Q would be 1 6/7, 1 being the whole number and 6 from 6+7=13. now let's look at letter R, you know you can divide 2 four times into 9, the whole number will be 4 and the fraction will be 1/2, 4x2+1=9. You can also double check that you did it right by turning it back into a improper fraction from the mixed number state by multiplying the denominator with the whole number, then adding the numerator. Hope that made sense, send me a DM if you need more help!
Help I’m not great and math
i need assistance please
What will happen to a cup of water if it is left in the sun for an extended amount of time? A. It will increase in volume B. It will decrease in volume C. It will stay the same volume
Answer:
c
Step-by-step explanation:
correct me if I'm wrong
Answer:
B-It will decrease in volume
Step-by-step explanation:
If I am not mistaken, the water, if left in the sun, will evaporate when heated, so the volume will decrease.
Solve for (n): 110 = n/10
Answer:
n = 1100
Step-by-step explanation:
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Multiply 10 to both sides of the equation:
110 = n/10
(110) * 10 = (n/10) * 10
n = 110 * 10
n = 1100
1100 is your answer for n.
~
Answer:
1100 = n
Step-by-step explanation:
➟ 110 = n/10
➟ 110 × 10 = n
➟ 1100 = n
Hope it helpsWhat is the measure of angle 7?
Answer:
measure of Angle 7 would also be (3y - 8), by the alternate exterior angles theorem
Hope this helps!
find the perimeter and area of the figure to the nearest hundredth use 3.14 for pi. Please explain how you got your answer. I will mark you brainliest if you help me :)
Answer:
HOPE THIS HELPSS!!!!!
Step-by-step explanation:
So the exact value of the area is A=100π A = 100 π square inches. To approximate the area, we would substitute π≈3.
Analysis of variance is used to Group of answer choices A) Compare nominal data. B) Compute t test. C) Compare population proportion. D) Simultaneously compare several population means.
Answer:
D) Simultaneously compare several population means.
Step-by-step explanation:
ANOVA (Analysis of Variance) was developed by Ronald Fisher.
ANOVA ie Analysis of Variance, is collection of statistical models & linked estimation processes, like variation among & between groups. It is used in analysing differences among various means.
So, it is used to : D) Simultaneously compare several population means.
Nominal Data, t test, population proportions are not uses of ANOVA.
Milan fills an aquarium to a depth of 3/8 meters in 6 minutes.
What is the unit rate in minutes per meter?
Answer:
1/16m per minute
Step-by-step explanation:
If Milan fills the aquarium to a depth of 3/8 in 6 minutes then just divide 3/8 by 6 to find how much she fills in 1 minute
Aysha got a dress that was on 20% off of the original price of $25.40. How much did she get the dress for?
Answer:
20.32$
Step-by-step explanation:
25.40×.20 = 5.08
25.40- 5.08 = 20.32
so the answer would be 20.32$
What is AC?
ACB is a right angle triangle. Side AB is 37 and BC is 35.
AC =
the answer should be 19 I believe
The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 48 who smoke. Step 1 of 2: Suppose a sample of 271 Americans over 48 is drawn. Of these people, 220 don't smoke. Using the data, estimate the proportion of Americans over 48 who smoke. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
0.188
Step-by-step explanation:
The computation is shown below;
First we have to determine the no of smokers
= Total no of persons - number of non-smokers
= 271 - 220
= 51
Now we have to estimate the proportion
So for this
= 51 ÷ 271
= 0.188192
= 0.188
Hence, the estimation is 0.188
The same is to be considered
E What is the surface area of the square pyramid? 3 2 square units
Answer:
I believe its 16.
Step-by-step explanation:
Because 2 x 2 (for the square) is 4. 2 x 3 is 6, and 6 divided by 2 is 3. And 3 x 4 (for all the triangles) is 12. So 12 + 4 is 16. So the surface area should be 16.
Using the data points below, what is the equation of the linear function that can be used to
model the situation: (1 week, 4 miles), ( 8 weeks, 11 miles)
A.y=x-3
B.y=x+3
C.y=2x+3
D.y=2x-3
Answer:
B
Step-by-step explanation:
points (1,4) and (8,11) cross through y=x+3
