Which of the following is equivalent to 8x2+20x+
Answers
Related Questions
please i’ll give you brainliest and thanks !
Answers
Answer:
1. 40
2. 124
3. 160
Step-by-step explanation:
1. 12x - 20 = 60 - 20 = 40
2. 12x - 20 = 144 - 20 = 124
3. 12x - 20 = 180 - 20 = 160
Write the prime factorization of 21. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answers
The prime factorization of the number 21 is:
21 = 3*7
How to write the prime factorization?We want to write the prime factorization of 21.
To do so, we just need to divide the number by prime numbers.
The first prime number we can try is 2, if we divide by 2 we get:
21/2 = 10.5
This is not an integer, so 2 is not a factor.
The next one is 3:
21/3 = 7
Now we can rewrite:
21 = 3*7
Where 3 and 7 are prime numbers, so that is the prime factorization.
Learn more about prime factorizations:
https://brainly.com/question/1081523
#SPJ1
Jennifer made these measurements on ABC,BC must be-?
Answers
Answer:
between 10 and 12
Step-by-step explanation:
Given the measure of angles:
m∠B = 70°
m∠C = 60°
m∠A = 50°
We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.Following this information, since the side lengths are directly proportional to the angle measure they see:
Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.
Angle C is the smallest angle, so the side AB is the shortest side.
Therefore, side BC must be between 10 and 12 inches.
a) What is the area and uncertainty in area of one side of a rectangular plastic brick that has a length of (21.2±0.2)cm and a width of (9.8±0.1)cm
2
? (Give your answers in cm
2
) ) (4)×cm
2
(b) What If? If the thickness of the brick is (1.2±0.1)cm, what is the volume of the brick and the uncertainty in this volume? (Give your answers in cm
3
.) (x±±π=cm
3
The height of a helicopter above the ground is given by h=2.60t
3
, where h is in meters and t is in seconds. At t=2.35 s, the helicopter releases a small mailbag. How long after its release does the mailbag reach the ground?
Answers
a. The area of one side of the rectangular brick is approximately 203.70 cm² to 212.46 cm².
b. The volume of the brick is approximately 222.63 cm³ to 278.53 cm³.
The uncertainty in volume is approximately 55.90 cm³.
c. The mailbag reaches the ground at t = 0 seconds, which means it reaches the ground immediately upon release.
a) To find the area of one side of the rectangular plastic brick,
multiply the length and width together,
Area = Length × Width
Length = (21.2 ± 0.2) cm
Width = (9.8 ± 0.1) cm
To calculate the area, use the values at the extremes,
Maximum area,
Area max
= (Length + ΔLength) × (Width + ΔWidth)
= (21.2 + 0.2) cm × (9.8 + 0.1) cm
Minimum area,
Area min
= (Length - ΔLength) × (Width - ΔWidth)
= (21.2 - 0.2) cm × (9.8 - 0.1) cm
Calculating the maximum and minimum areas,
Area max
= 21.4 cm × 9.9 cm
≈ 212.46 cm²
Area min
= 21.0 cm × 9.7 cm
≈ 203.70 cm²
b) To calculate the volume of the brick,
multiply the length, width, and thickness together,
Volume = Length × Width × Thickness
Length = (21.2 ± 0.2) cm
Width = (9.8 ± 0.1) cm
Thickness = (1.2 ± 0.1) cm
To calculate the volume, use the values at the extremes,
Maximum volume,
Volume max
= (Length + ΔLength) × (Width + ΔWidth) × (Thickness + ΔThickness)
Minimum volume,
Volume min
= (Length - ΔLength) × (Width - ΔWidth) × (Thickness - ΔThickness)
Calculating the maximum and minimum volumes,
Volume max = (21.2 + 0.2) cm × (9.8 + 0.1) cm × (1.2 + 0.1) cm
Volume min = (21.2 - 0.2) cm × (9.8 - 0.1) cm × (1.2 - 0.1) cm
Simplifying,
Volume max
= 21.4 cm × 9.9 cm × 1.3 cm
≈ 278.53 cm³
Volume min
= 21.0 cm × 9.7 cm × 1.1 cm
≈ 222.63 cm³
The uncertainty in volume can be calculated as the difference between the maximum and minimum volumes,
Uncertainty in Volume
= Volume max - Volume min
= 278.53 cm³ - 222.63 cm³
≈ 55.90 cm³
c) The height of the helicopter above the ground is given by the equation,
h = 2.60t³
The helicopter releases the mailbag at t = 2.35 s,
find the time it takes for the mailbag to reach the ground after its release.
When the mailbag reaches the ground, the height (h) will be zero.
So, set up the equation,
0 = 2.60t³
Solving for t,
t³= 0
Since any number cubed is zero, it means that t = 0.
Learn more about rectangular brick here
brainly.com/question/32751085
#SPJ4
HELP AM ABOUT TO GET AND F!!!
Answers
The outside temperature is -20° F and rising at a rate of 5 degrees per hour. How long will it be before the temperature reaches 0 F?
Answers
Answer:
Pretty sure it would take 4 hours.
Answer:
4 hours
Step-by-step explanation:
Given that cos 75 = X, show that cos 105 = −X
Answers
Step-by-step explanation:
cos(90) = 0
around this point the cos function "mirrors" with opposite signs. cos(<90) is positive and cos(>90) is negative.
but |cos(90-a)| = |cos(90+a)| for 0 <= a <= 90
75 = 90 - 15
105 = 90 + 15
so, a = 15
and because of
|cos(90-a)| = |cos(90+a)| for 0 <= a <= 90
cos (90-15) = cos(75) = -cos(90+15) = -cos(105)
Which complex number's graph is shown? 1 2 3 4 -1 و زر زر مع -3 37 O A. 2J7(cos 3* i sin O + 32T 4 O B. 2.2(cos 225° + i sin 225º) O C. 2lcos 2(cos 7+isin 4 4 D. -2(co 5135° + i sin135)
Answers
The point (-2,2), we need to evaluate each case
In this case, for the real part we need to obtain -2
\(_{}2\sqrt[]{2}(\cos (\frac{3\pi}{4}))=-2\)For the imaginary part, we need to obtain 2
\(2\sqrt[]{2}(\sin (\frac{3\pi}{4}))=2\)As we can see the complex number that is shown in the graph is
\(2\sqrt[]{2}(\cos (\frac{3\pi}{4})+i\sin (\frac{3\pi}{4}))\)ANSWER
A.
Find RSQ and TSQ I will Brainliest
Answers
TSQ = 58
X = 5
Hope this helps!!!!
Answer:
Hey there!
15x-43+8x+18=90
23x-25=90
23x=115
x=5
RSQ=15(5)-43, or 32
TSQ=8x+18, or 58
Let me know if this helps :)
Step-by-step explanation:
A line is shown in the graph. What is the equation of the line?
Answers
Question 1-6
In PQR, PQ=QR. If m/P = (2x - 26) and m/R= (x+17), classify PQR. Select all that apply.
Answers
The triangle PQR is an equilateral triangle
How to classify the triangleFrom the question, we have the following parameters that can be used in our computation:
PQ=QR.
m/P = (2x - 26) and m/R= (x+17)
When two sides of a triangle are congruent, then the triangle is an isosceles triangle
Using the above as a guide, we have the following:
2x - 26 = x + 17 --- base angles of an isosceles triangle
So, we have
x = 43
This gives
m/P = 2 * 43 - 26 = 60
m/R= 43 + 17 = 60
If two angles of a triangle measure 60 degrees, then the third angle is 60 degrees
This implies that the triangle is an equilateral triangle
Read more about triangles at
https://brainly.com/question/14285697
#SPJ1
The measure of the angle Q is 46.4°
How to find the angle?Recall that the sum of the angles of a triangle is equal to 180 degrees
We are told that
PQ = QR
Q = 100°
As PQ and QR are equal so,
By theorem angle opposite to equal sides are equal so,
We can say that angle P = angle R = X
Therefore by angle sum property of the triangle,
angle P + angle Q + angle R = 180°
X +(2x - 26)+ (2x - 26) = 180°
This implies that 5x-52=180
Collecting like terms
5x=180+52
5X = 232°
X =46.4°
Therefore the measure of R = 40°
Learn more about measure of angles on https://brainly.com/question/14684647
#SPJ1
Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.
Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45
She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.
Answers
Answer: To find the unit rate for each brand, we need to divide the cost of each brand by the number of ounces in each container:
Unit rate for Brand A = $2.55 ÷ 12 ounces ≈ $0.21 per ounce
Unit rate for Brand B = $1.45 ÷ 8 ounces ≈ $0.18 per ounce
Therefore, the statement that is true about the unit rates is:
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.
So, if Susan wants to get the most juice for her money, she should choose Brand B, which has the lower unit rate.
Note that the cost per ounce for each brand is not rounded to the nearest cent, but rather to two decimal places.
Step-by-step explanation:
The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing loans will go up in the same period is estimated to be 1.74. The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89. The event that an increase in house sales and no increase in house sales will occur in the next 6 months are:___________
Answers
The probability of an increase in house sales and no increase in house sales will occur in the next 6 months is 0.09.
The event that an increase in house sales and no increase in house sales will occur in the next 6 months are:
1) The probability of house sales to increase in the next 6 months is estimated to be 0.25, then the probability of no increase is 0.75.
2) The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89,
then the probability that interest rates will go up is 0.89 - 0.25
= 0.64.
3) The probability of an increase in house sales and no increase in interest rates
= Probability of increase in house sales * Probability of no increase in interest rates
= 0.25 * (1 - 0.64)
= 0.25 * 0.36
= 0.09
Therefore, the probability of an increase in house sales and no increase in house sales will occur in the next 6 months is 0.09.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
Part A
The scale of a map says that 4 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 4 kilometers? 3.2 cm (dont answer this i already got it)
Part B
What is the actual number of kilometers that is represented by 5 centimeters on the map? __ km
Answers
The required distance on the map (in centimeters) represents an actual distance of 4 kilometers is a) 3.2 cm and the actual number of kilometers that is represented by 5 centimeters on the map is b) 6.25 km.
What is distance?
The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
The scale of a map says that 4 cm represents 5 km.
According to given question we have
a.
So, (4 km)/(5 km) = 0.8
4 km is 0.8 of 5 km, so in the map it is 0.8 of 4 cm.
4 kilometers
=0.8 ×4 cm
= 3.2 cm
b.
So, (5 cm)/(4 cm) = 1.25
5 cm is 1.25 times 4 cm, so it represents 1.25 × 5 km.
5 centimeters
=1.25 × 5 km
= 6.25 km
Therefore, the required distance on the map (in centimeters) represents an actual distance of 4 kilometers is a) 3.2 cm and the actual number of kilometers that is represented by 5 centimeters on the map is b) 6.25 km.
Learn more details about distance here:
https://brainly.com/question/13034462
#SPJ2
HELP ASAP TYSM IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED: What is the surface area of the square pyramid? I put a link/pic in the bottom
⬇️
Answers
Answer:
H) 340 in²
Step-by-step explanation:
SA = Area of Base + [1/2(Perimeter of Base) × Slant Height]
= 10² + 1/2(40)(12)
= 100 + 20(12)
= 100 + 240
= 340
Charles used a chain which was 12.5 metres long, 12 times to measure the breadth of his garden. Stephen used a chain of different length 10 times to cover the breadth of Charles' garden and 18 times to cover its length. What is the area of Charles' garden to the nearest one tenth of a hectare?
A. 4.05 m^2
B. 5.4 m^2
C. 3.6 m^2
D. 4.1 m^2
Answers
The function \(B(t) = 182(1.065)^t\) represents the annual population of bees in a county park, the growth rate is 6.5%.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Length of Charles garden = 12.5 m * 12 = 150 m
Length of Stephen chain = 150 m /18 = 25/3 m
Breadth of Charles garden - 25/3 * 10 = 250/3 m
Area of Charles garden = 150 m * 250/3 m = 12500 m =
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Amari is playing a game with a standard deck of cards. Amari selects one card and then replaces it in the deck.
Part A: What is the theoretical probability that Amari draws a red card? (5 points)
Part B: What is the P(first draw is a club ∩ second draw is a club)? (5 points)
Part C: What is the probability of drawing a spade given that the card drawn is black? (5 points)
Part D: Consider the events "The card drawn is a spade" and "The card drawn is black." Are these events independent? Justify your answer mathematically. (5 points)
Answers
A) The theoretical probability of drawing a red card is 1/2.
B) The theoretical probability of the intersection of the events "The first draw is a club" and "The second draw is a club" is 13/208
C) The theoretical probability of drawing a spade given that the card drawn is black is 1/2
D) The events "The card drawn is a spade" and "The card drawn is black" are not independent.
A) The theoretical probability of drawing a red card is:
P(Red card) = Number of red cards / Total number of cards
= 26/52
= 1/2
B) The probability of drawing a club on the first draw and a club on the second draw is the product of the probabilities of each event:
P(First draw is a club ∩ Second draw is a club) = P(First draw is a club) * P(Second draw is a club)
= (13/52) * (13/52)
= 169/2704
= 13/208
C) The probability of drawing a spade given that the card drawn is black is:
P(Spade | Black card) = P(Spade ∩ Black card) / P(Black card)
= 26/52
= 1/2
D) To determine if the events "The card drawn is a spade" and "The card drawn is black" are independent, we need to check if the probability of drawing a spade is affected by the knowledge that the card drawn is black. From Part C, we know that:
P(Spade | Black card) = 1/2
The probability of drawing a spade without any additional information is:
13/52 = 1/4.
Since P(Spade | Black card) ≠ P(Spade), the events are dependent, and not independent.
To learn more about probability follow the link:
https://brainly.com/question/30034780
#SPJ1
I need the answers to this please
Answers
Answer:
From top to bottom
0
3
-4
5
4
I haven't done slope in a while but if I'm correct its one
Step-by-step explanation:
Can you explain how you got the answe
Answers
Answer:
3
Step-by-step explanation:
she put 4 stickers on each car
The graph represents the purchasing power of your
income if the inflation rate is eight percent.
What is your current monthly income, if your
purchasing power is $2,300?
Answers
Your current monthly income, before the effect of inflation, is approximately $2,129.63.
To determine your current monthly income, we need to account for the effect of inflation on the purchasing power of your income. Given that the inflation rate is eight percent, we can calculate the original income before the inflation adjustment.
Let's denote your current monthly income as "X."
The purchasing power after accounting for eight percent inflation is $2,300. This means that your original income, before the inflation adjustment, would have had a higher value. We need to find this original income.
Inflation reduces the purchasing power of your income, so we need to increase the current purchasing power by the inflation rate to find the original income. In this case, we'll increase $2,300 by eight percent:
Original Income = $2,300 / (1 + 0.08)
Original Income = $2,300 / 1.08
Original Income ≈ $2,129.63
Therefore, your current monthly income, before the effect of inflation, is approximately $2,129.63.
for such more question on effect of inflation
https://brainly.com/question/777738
#SPJ8
Which algebraic expression represents this word description?
The product of nine and the difference between a number and five
OA. 9x-5
OB. 9(x - 5)
OC. 5-9x
OD. 9(5-x)
Answers
Let the number be represented by x.
The difference between a number and five is (x - 5).
The product of nine and (x - 5) is 9(x - 5).
Therefore, the correct algebraic expression that represents the given word description is option (OB) 9(x - 5).
Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.
Answers
Answer:
I don't know
Step-by-step explanation:
but what I do know is to not increase your days is bad
Okay okay help me pleaseeeee what is 3 times negative four ?
Answers
Answer:
-12
Step-by-step explanation:
i performed a hypothesis test, and my p-value cutoff (significance level) was 1%. what's the chance that my test will incorrectly reject the null hypothesis? a. 1% b. 95% c. 99% d. not enough information to determine e. 5%
Answers
The chance that a hypothesis test will incorrectly reject the null hypothesis when the p-value cutoff is 1%. The correct option is A.
What is a hypothesis test?A hypothesis test is used to test the validity of a hypothesis by calculating the probability that a sample statistic occurred by chance.
The null hypothesis is the hypothesis that is being tested, and it is usually assumed to be true unless there is evidence to the contrary.
The p-value is the probability of obtaining a sample statistic at least as extreme as the one observed, assuming the null hypothesis is true. If the p-value is less than the significance level, which is the p-value cutoff chosen by the researcher, then the null hypothesis is rejected.
If the p-value is greater than or equal to the significance level, then the null hypothesis is not rejected. The p-value cutoff is the significance level chosen by the researcher, and it represents the maximum probability of rejecting the null hypothesis when it is actually true.
In this case, the p-value cutoff is 1%, which means that the maximum probability of rejecting the null hypothesis when it is actually true is 1%. Therefore, the chance that a hypothesis test will incorrectly reject the null hypothesis when the p-value cutoff is 1%.
Therefore, the correct option is A.
Learn more about hypothesis test here:
https://brainly.com/question/30588452
#SPJ11
help plz give u extra points
Answers
Answer:
does this help
Step-by-step explanation:
OFFERING BRAINLIEST IF YOU ARE THE FASTEST!
Answers
The volume of the box is:
V_box = l x w x h = 2.5 cm x 1 cm x 2 cm = 5 cm^3
The volume of each sugar cube is:
V_cube = s^3 = (0.5 cm)^3 = 0.125 cm^3
To find out how many sugar cubes can fit in the box, we divide the volume of the box by the volume of each sugar cube:
number of cubes = V_box / V_cube = 5 cm^3 / 0.125 cm^3 = 40 cubes
Therefore, 40 sugar cubes can fit in the given box.
Julianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.
Answers
Given
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)To find:
The average speed of Julian.
Explanation:
It is given that,
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)That implies,
\(\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}\)Therefore,
\(\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}\)Hence, the average speed of Jean is 11 km/h.
The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.
Answers
Answer:
2 1/2
Step-by-step explanation:
take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2
2 \(\frac{1}{2}\( in.
Step-by-step explanation:
560Steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. Working together, how long, to the nearest minute, would it take them
Answers
By working together, they can make the work done in two hours and forty-six minutes.
How do you calculate work done together?The equation below may be used to compute work: Work is equal to force times distance. The Newton metre is the SI unit of work (N m). When an item is moved across a distance of 1 m with 1 N of force, one joule is equal to the amount of work that is accomplished.Every time a force pushes anything over a distance, work is done. By multiplying the force by the distance travelled in the direction of the force, you may determine the amount of energy transferred, or work done.Therefore, the formula for work is W = F d s, which stands for work done equal to force times displacement.Given data :
Think of these work rates as "greenhouses per hour", not "hours per greenhouse". Then Steve's work rate is one fourth of a greenhouse per hour, and his son's is one ninth of a greenhouse per hour. Now, multiply each rate by the time t to get the portion of the greenhouse each paints, and add the products up to get one greenhouse. The work equation becomes:
1 / 4 t + 1 / 9 t = 1
9 / 36 . t + 4 / 36 t = 1
13 / 36 t = 1
36 / 13. 13 / 36 t = 36 / 13 .1
t = 36 / 13 hrs
or 36 / 13. 60 = 166 min
This is two hours and forty-six minutes.
Learn more about how to find work refer to :
https://brainly.com/question/25573309
#SPJ4
Help Please
Solve for y : | y | = 16 .
y= ____ , ____
Answers
explanation: the absolute value bars make the expression inside positive, if they were negative to begin with. so, a negative number like -16 becomes 16, and a positive number like 16 still stays the same