The solution is the multiplication is: 5x × (3x-2) = 15x² - 10x.
Here, we have,
given that,
the expression is:
5x(3x-2)
now, we have to Multiply out
so, we have,
5x × (3x-2)
= 5x×3x - 5x×2
=15x² - 10x
Hence, The solution is the multiplication is: 5x × (3x-2) = 15x² - 10x.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ1
7. A recipe calls for 4 tbsp of sugar to 10 tbsp of baking powder. What is the
ratio in simplest form of the number of tbsp. of baking powder to the
number of tbsp. of sugar in this recipe?
A. 2 to 5
B. 2 to 3 C. 5 to 2 D. 3 to 1
8. which statement is true about proportion?
A. the product of the main is greater than the product of extremes
B. the product of the extremes is greater than the product of the means
C. the product of the means is equal to the product of the extremes
D. the product of the 1st ratio is equal to the product of the 2nd ratio
Answer:
The correct answers are:
7) 2 to 5
8) the product of the means is equal to the product of the extremes (D)
Step-by-step explanation:
7) Number of tbsp of sugar = 4
Number of tbsp of baking powder = 10
∴ ratio of sugar to baking powder = 4 : 10
simplifying further by dividing through by 2
4 : 10 = 2 : 5
∴ ratio of sugar to baking powder = 2 to 5
8) A proportion is a statement that equates two rates or ratios.
For example:
\(\frac{a}{b} = \frac{c}{d}\)
In this equation, the first and the fourth terms (a and d) are called extremes, while the second and third terms are called means.
Therefore, one rule of proportions is that the product of the extremes must equal the product of the means. This means that:
a × d (extremes) = b × c (means)
CAN SOMEONE PLEASE EXPLAIN WHY THE ANSWER FOR THIS IS 4N+15. THIS IS 10 MINUTES PAST DUE!!! TAKE 20 POINTS
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU
Answer:
Step-by-step explanation:
6) diameter = 2 cm
Radius is half of diameter
r = 2 /2 = 1 cm
Area of circle = πr² {Plugin r = 1 in the formula}
= π*1²
= π cm²
7) r = 7.4 cm
Area = πr²
= π * 7.4*7.4
= 54.76π cm²
Please help no links
Answer:
it's 3
Step-by-step explanation:
The slope is rise/run, so up 3, over 1.
Find the side length, b.
Round to the nearest tenth.
C
a
BL
b
A
C
b = [?]
B = 90°
a = 6
C=7
Answer:
b = 9.2 (Rounded to the nearest tenth)
Step-by-step explanation:
ABC is a right-angled triangle at B.
Then ,according to the Pythagorean theorem:
\(b = \sqrt{a^2 + c^2}\)
\(= \sqrt{6^2 + 7^2}\)
\(= \sqrt{36 + 49}\)
\(= \sqrt{85}\)
\(=9.219544457293\)
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
More can be learned about functions at https://brainly.com/question/1415456
#SPJ1
If administrative assistants at Bookworm Publications make phone follow ups after textbook reviews, more colleges and universities will adopt a new statistics book. The
publisher noticed that new book sales varied in the second year according to S(x) = A0+500, where S is total sales and x is the number of phone calls made to
colleges which have adopted the book. A denotes the sales from the previous year.
Assuming As - 2100, what sales can Bookworm Publications expect if they make 100 follow-up phone calls? Round your answer to two decimal places if necessary
Answer:
my bad but give me them points
1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
mx=n+p ,for x
step by step aswell please
The solution for x from the linear equation is x=(n+p)/m .
Linear equation is a equation where the greatest degree of the variable is 1 in the equation.
A basic linear equation in the variable x is of the form ax+b =0 where b is a constant and a is the co-efficient of x.
To solve a linear equation for x we use the simple mathematical operations to make x the subject of the formula.
Given equation is:
mx=n+p
We have to find the value of x.
So we can see that the variable x has a constant co-efficient m
to make x the subject we divide both sides of the equation by m.
Therefore:
mx÷m=(n+p)÷m
or, x=(n+p)/m
So on solving the linear equation we get the value of x as (n+p)/m
to learn more about linear equations visit:
https://brainly.com/question/13738061
#SPJ9
Which expiression has a value of 2/3
Answer:
Step-by-step explanation:
(8 + 24) ÷ (12 x 4) = 2/3
estimate the sum 1.37+0.9. betwen answers like bettwen 3
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
Learn more about volume at: https://brainly.com/question/1972490
#SPJ1
3 pizzas are shared equally between 10 people. What fraction of a pizza does each person receive?
Answer:
7
Step-by-step explanation:
and beetween 10-3 7 pizza
1.5 ft snow melts into 2 inches water how much for 4 ft snow
Answer:
5.33 or 16/3
Step-by-step explanation:
if 1.5ft of snow melts to 2in
then 3ft of snow will melt to 4in
so if we follow the pattern 4.5ft of snow will melt into 6in
however, we need 4ft of snowmelt therefore it will have to be 5.33 or 16/3
Answer:
5.33 or 5 1/3
Step-by-step explanation:
Under normal condition, 1.5 feet of snow will melt into 2 inches of water.
As we know 1 feet = 12 inches
1.5 feet = 12 × 1.5 = 18 inches
4 feet = 12 × 4 = 48 inches
Now we use unitary method
∵ 18 inches snow will melt into water = 2 inches
∴ 1 inches snow will melt into water = inches
∴ 48 inches snow will melt into water = ×48
= 5.33 inches of water.
5.33 inches of water will there be when the snow melts.
Identify the line of reflection,
O X-axis
OY- axis
1. Computer Depot is a large store that sells and repairs computers. A random sample of 110 computer repair jobs took technicians an average of = 93.2 minutes per computer. Assume that is known to be 16.9 minutes.
(a) Find a 99% confidence interval for the population mean time for computer repairs.
(b) Write a brief explanation of the meaning of the confidence interval in the context of this problem.
Confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].
What is confidence interval?
A confidence interval, in statistics, refers to the chance that a population parameter can fall between a collection of values for an exact proportion of times.
Main body:
According to question:
N = 110
X bar = 93.9 minutes
σ = 16.9 minutes
value for 99% confidence interval = 2.576
C.I. = x bar ± z*s/√n
C.I. = 93.9 ± 2.576 *16.9 /√110
C.I. = 93.9 ± 4.150
C.I. = [98.05 , 89.850]
Hence , confidence interval for the population mean time σ for computer repairs is [98.05 , 89.850].
to know more about confidence interval , visit:
https://brainly.com/question/15712887
#SPJ1
A luxury liner leaves a port on a bearing of 110 degrees and travels 8.8 miles. It then turns due west and travels 2.4 miles. How far is the liner from the port, and what is its bearing from the port?
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
Oreana's 150 g bag of trail mix is x% raisins. Brandon's 250 g bag of trail mix is y% raisins. They combine the two mixes together in one bowl.
Write an expression which shows how many grams of raisins are in the bowl
The expression which shows how many grams of raisins are in the bowl will be
(0.01x) * 150 + (0.01y) * 250
What is the expression that shows the raisin?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.
The expression which shows how many grams of raisins are in the bowl will be:
= (x% × 150) + (y% × 250)
= (0.01x) * 150 + (0.01y) * 250
This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.
Learn more about expressions on:
https://brainly.com/question/723406
#SPJ1
please help!! 15 points i’m stressed out :/
Answer:
Since this (looks) like a homework assignment/test, I'll give you a hint.
Step-by-step explanation:
A function is where you have a input, that usually involves an equation that you have to replace the unknown with, to get the output.
Don't get it? Well, I didn't either.
What's great about this problem that you don't neccessarily have to know what the definition is.
A function can only output. So if you inputted the number 6, and got the output -3, you can't have another number that also had the output -3, and vice versa. This is my hint for the number 1.
Number 4 is a bit harder, but here's my hint:
Look for a pattern.
what is 2x10^4 in standard notation
Answer:
I love Math anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Mark transferred songs from his computer onto his portable music player. He transferred songs in minutes. How many songs did he transfer per minute?
Answer:
Need more info
Step-by-step explanation:
You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.
You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:
\(\frac{10 songs}{5minutes}\)
Now just reduce the fraction and it becomes
\(\frac{2 songs}{1 minute}\)
Also known as 2 songs per minute
an object is thrown upward at a speed of 156 feet per second by a machine from a height of 19 feet off the ground. the height of the object after seconds can be found using the equation h= -16t^2 +156t +5. When will the height 269feet?. When will the object reach the ground?
Solving the quadratic equation, we found that the object is at a height of 269 feet when t is 1.99s and 8.55s and the object reaches the ground when t = 9.78s.
What is a quadratic equation?
Any equation in algebra that can be written in standard form:
ax² + bx + c =0
where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.
The given equation of height h = -16t² + 156t +5
a) The time when the height is 269 feet can be found by substituting this value for h in the above equation.
h = -16t² + 156t +5
169 = -16t² + 156t +5
16t² - 156t + 164 = 0
Solving we get t = 8.55 s, 1.99s
b) The time when the object reaches the ground.
For this, we can take h = 0
-16t² + 156t +5 = 0
t = -0.03, 9.78
The negative value can be ignored.
Therefore solving the quadratic equation, we found that the object is at a height of 269 feet when t is 1.99s and 8.55s and the object reaches the ground when t = 9.78s.
To learn more about quadratic equations, follow the link.
https://brainly.com/question/28038123
#SPJ4
You borrow $10,000 from the bank to start a small business. The interest rate is 5.25% and you borrow the money for 5 years. How much INTEREST you will pay on this loan?
Answer:
$2,625 ( i think )
If im right add me on snap pls
idk_marqo
Noah started to solve the equation -4.6p - 6.3p + 3.9= 9.18 below.
1. Combine like terms: -10.9p+3.9=-9.18
Apply the next steps to solve the equation. What is the solution?
P= ?
9514 1404 393
Answer:
p = 1.2
Step-by-step explanation:
From here, it is a 2-step linear equation.
Step 1:
Identify the constant term on the side of the equation with the variable. Subtract that constant from both sides.
-10.9p = -13.08
Step 2:
Divide both sides by the coefficient of the variable.
p = -13.08/-10.9 = 1.2
The solution is p = 1.2.
The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
For more questions on Population .
https://brainly.com/question/30412211
#SPJ8
Jill bought 7 pounds of melon and 0.9 pounds of cherries. How much fruit did she buy in all
Answer:
7.9 pounds of fruit
Step-by-step explanation:
In all means to add, so 7 + .9 = 7.9 pounds
The x and y intercepts for the linear equation x – 2y = -8 is
Answer:
x- intercept = - 8 , y- intercept = 4
Step-by-step explanation:
to find the x- intercept let y = 0 in the equation and solve for x
x - 2(0) = - 8
x - 0 = - 8
x = - 8 ← y- intercept
to find the y- intercept let x = 0 in the equation and solve for y
0 - 2y = - 8
- 2y = - 8 ( divide both sides by - 2 )
y = 4 ← y- intercept
Cathy had $28.75 in her account. She wrote a check for $35.95. What will her account balance be when the check is cashed? 0 - $64.70 O $7.20 O $7.20 O $64.70
Answer:
-$7.20
Step-by-step explanation:
28.75 - 35.95 = 7.20
(45 points)
7. Find the length of YU Round to the nearest hundredth.
8. Find STR.
Answer:
YU = 4.82. angle STR = 23°
Step-by-step explanation:
7) Angle between U and V = 72°, since angles on a straight line add up to 180°. so angle UV = 180 - 108 = 72°.
similarly, angle YU = 180 - 85 - 72 = 23°.
length of circumference of full circle = π X diameter = π (2r)
= 2πr (radius = half of diameter).
circumference = 2π(12) = 24π.
there are 360° in full circle.
remember that angle YU = 23°.
length YU = (23/360) X 24π
= (23π)/15
= 4.817
= 4.82 to nearest one hundredth.
8) triangle RST sits inside of half the circle, ie in the semicircle.
angle RST = 90° because the angle in a semicircle = 90°.
there are 180° in a full triangle.
since angle RST = 90°, angle STR must be less than 180 - 90.
angle STR < 90°. so STR must be 23°.
Kon'nichiwa, everyone! just to make sure you are correct if you answer this question make sure you have a explaination, and a good one with that.
ex; you took the test and have proof you took it.
ex; explaining how you got your answer
also if you happen to need this "⎯⎯" you can just copy paste that and put it in the answer
that's all, thanks for reading this :D
Answer:
Hey there i see that you are doing scientific notation things well i will help you
Step-by-step explanation:
so 5.2 X 10 to the 5th power = 520000
3.9 X 10 to the 8th power = 390000000
and 4.7 X 10 to the 5th power = 470000
so on that info the answer is
4.7 x 10(5), 5.2 x 10(5), 3.9 x 10(8)
hope you have a nice day
Answer and work is all shown in the provided screenshot! I hope this helps! :)