Answer:
Step-by-step explanation:
Round to the nearest ten, hundred, or thousand:
1. 6,471 to need to the nearest thousand is 6,000
Estimate each sum, difference, or product by first rounding to the nearest hundred.
2. 41,348 + 19,749 ==> 41,300 + 19,700 = 61,000
3. 38,652 - 14,549 ==> 38,700 - 14,500 = 24,200
4. 396 • 748 ==> 400 • 700 = 280,000
Solve the equations:
5. t + 28 = 5
- 28 -28
t = 26
6. 28x = 168
/28 /28
x = 6
7. 27 = y + 12
-12 - 12
15 = y or y = 15
Simplify:
8. 10 • 24 - (18 + 2) ÷ 4 - (9 - 7)
10 • 24 - 20 ÷ 4 - 2
240 - 5 - 2
240 - 7
233
9. (80 ÷ 16) x [(20 - 56 ÷ 8) + (8 • 8 - 5 • 5)]
(80 ÷ 16) x [(20 - 56 ÷ 8) + (64 - 25)]
5 x [(20 - 7) + (64 - 25)]
5 x [13 + 39]
5 x 52
260
Evaluate the exponential notation:
10. [tex]5^4[/tex]
11. [tex]6^3[/tex]
Sort out:
12. Natasha has $196 and wants to buy a computer for $698. How much more do you need?
698 - 196 = $502 <== final answer
13. Toni has $406 in her checking account. He is paid $78 for a part-time job and deposits it into his checking account. What is the balance in your account now?
406 + 78 = $484 <== final answer
14. A beverage company packed 228 cans of soda in 12-can cases. How many cartons were filled?
228/12 = 19 cartons filled <== final answer
Hope this helps!
1. 6,471 rounded to the nearest thousand is 6,000.
2. 41,348 rounded to the nearest hundred is 41,300, and 19,749 rounded to the nearest hundred is 19,700. Their sum rounded to the nearest hundred is 61,000.
3. 38,652 rounded to the nearest hundred is 38,600, and 14,549 rounded to the nearest hundred is 14,500. Their difference rounded to the nearest hundred is 24,100.
4. 396 rounded to the nearest hundred is 400, and 748 rounded to the nearest hundred is 700. Their product rounded to the nearest hundred is 280,000.
5. Subtracting 28 from both sides of the equation, we get t = 26.
6. Dividing both sides of the equation by 28, we get x = 6.
7. Subtracting 12 from both sides of the equation, we get y = 15.
8. 10 • 24 = 240. 18 + 2 = 20. 20 ÷ 4 = 5. 9 - 7 = 2. Therefore, the expression simplifies to:
240 - 5 - 2 = 233.
9. First, we need to evaluate the expressions inside the parentheses:
56 ÷ 8 = 7
8 • 8 = 64
5 • 5 = 25
20 - 7 = 13
64 - 25 = 39
Substituting these values into the expression, we get:
80 ÷ 16 x (13 + 39) = 5 x 52 = 260.
10. 5 to the power of 4 is 5 x 5 x 5 x 5, which equals 625.
11. 6 cubed is 6 x 6 x 6, which equals 216.
12. Natasha has $196 and needs $698 for a computer. To find out how much more she needs, we subtract the amount she has from the amount she needs:
698 - 196 = 502.
Natasha needs $502 more to buy the computer.
13. Toni's new balance in his checking account is the sum of his original balance and his new deposit:
406 + 78 = 484.
His new balance is $484.
14. The beverage company packed 228 cans of soda in 12-can cases. To find out how many cartons were filled, we divide the total number of cans by the number of cans in each case:
228 ÷ 12 = 19.
The company filled 19 cartons.
#CARRYONLEARNINGMatt is carpeting his bedroom. The room measures 12 feet by 14 feet. If carpet costs $2.29 per square foot, then how much will Matt spend to carpet his bedroom?
student stands at the edge of a diving board that is 3m high. The student's weight is 350N. What is the student's gravitational potential energy?
Answer:
1050 J
Step-by-step explanation:
GPE = Weight x height
= 350 x 3
= 1050 J
Using PEMDAS
1.) 10 - 8 ÷ 4 + (7 - 2)
2.) 3² + 2 (6) - 3
2.) 18
P - arenthesisE - xponents M - ultiplication D - ivisionA - ddition S - ubtractionSOLUTION1:10 - 8 ÷ 4 + (7 - 2)10 - 8 ÷ 4 + 510 - 2 + 58 + 513SOLUTION2:3² + 2 (6) - 39 + 2 (6) - 39 + 12 - 321 - 318#LearningWithMath
If WX is tangent to circle y, find wx
that statement is very true
please help fast!!!!!!!!!!!!!
Answer:
a. 6+y b. 5- (10x c)
C. 14 +(6 x c) d. x +y=18 f. x - 12 = 7
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y=4/3x+4
Step-by-step explanation:
If I have a 97% in one of my classes what do I have to get on my final project, which is 30% of my grade, to pass with at least a C or 70%.
Answer:
you will need at least a 94 on your final project
Step-by-step explanation:
hope it helps!
How do I find the ordered pair with an x-value of 2, for the equation f(x)=4x-1? What is the ordered pair? urgent please
Step-by-step explanation:
f(2)=4(2)-1 = 7
the ordered pair is (4,7)
A one-celled, aquatic organism called a dinoflagellate is 1000 micrometers long. A microscope magnifies the dinoflagellate 100 times. What is the magnified length of the dinoflagellate in meters? (1 micrometer is 10^-6 meter) Write your answer as a power
Utilize graphing to find the solution to
the following system of equations.
y = 2x + 1 AND y = x - 3
(-4, [?])
What’s the answer that goes in the green box picture below:
At a certain college, there were 700 science majors, 300 engineering majors, and 500 business majors. If one student was selected at random, the probability that the student is an engineering major is
Answer:
300/1500, 1/5, or 20%
Step-by-step explanation:
There are 1500 students total, but only 300 engineering students. We can represent this as a fraction: 300/1500. When reduced it comes out to 20%.
Karl is putting a frame around a rectangular photograph. The photograph is 12 inches long and 10 inches wide, and the frame is the same width all the way around. What will be the area of the framed photograph?
Find the slope of the line through the pair of points: ( − 3 , 4 ) and ( 0 , 2 ) .
Answer:
[tex]-\frac{2}{3}.[/tex]
Step-by-step explanation:
1) the required slope can be calculated if to use the ratio:
slope=(y(B)-y(A))/(x(B)-x(A)), where x(A)=-3; y(A)=4; x(B)=0 and y(B)=2;
2) according to the formula above:
s=(2-4)/(0+3)=-2/3.
The slope of the line through the given points is: -2/3.
What is the Slope of a Line?Slope of a line= change in y / change in x = rise/run.
Given the points:
(-3, 4) = (x1, y1)
(0, 2) = (x2, y2)
Slope = (4 - 2)/(-3 - 0)
Slope = 2/-3
Slope of the line = -2/3
Learn more about slope of a line on:
https://brainly.com/question/20848
#SPJ6
What is the scale factor the smaller rectangle to the larger rectangle?
A
6
B
2
C
48
D
1/2
Answer:
scale factor is larger larger length over the smaller length.
6. From a 5-pound bag of flour, Maura used 2 3/16 pounds to bake
cakes. Find the weight of the flour left in the bag.
five more than thrice a certain number x
A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $2.69 per square yard?
Answer:
Step-by-step explanation:
You will first have to find the area to find the price of each square yard.
Area is 8*12 = 96. Multiply this by 2.69.
It will cost 258.24 dollars to recarpet the shop.
Let me know if this helped
Answer:
A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $5.00 per square yard?
Step-by-step explanation:
50 PTS. Solve the given equation by completing the square.
r2 + 8 = 38
Fill in the values of a, b, and c to complete the solutions.
Answer:
r = 15
Step-by-step explanation:
That's my answer hope it helps brainliest my answer please that's correct
Answer:
r=15
Step-by-step explanation:
hope it helps you bro
write a pair of equivalent fractions for 2/5?.
Step-by-step explanation:
4/10
6/15
8/20
10/25
these were some
if f(5x)=f(5)+f(x) then prove f(1)=0
Answer:
2&4+44-24÷333×6385
Step-by-step explanation:
so it can be a cardinal product
If functions f(5x)=f(5)+f(x) then f(1)=0.
What is a function?A relation is a function if it has only One y-value for each x-value.
Given that f(5x)=f(5)+f(x)
f of five times of x equal to f of five plus f of x.
We need to prove f(1) is equal to zero.
f(5x)=f(5)+f(x)
Let plug in x value as one
f(5×1)=f(5)+f(1)
f(5)=f(5)+f(1)
Subtract f(5) from both sides
f(1)=0
Hence, if functions f(5x)=f(5)+f(x) then f(1)=0.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ2
Help me and show work because I don't understand this one
Step-by-step explanation:
[tex]4 {}^{2x + 3} = 1[/tex]
In order for exponents to be equal, they must have the same base and same power.
So what exponet can we raise 4 to in order to get 1.
Remeber that
[tex]a {}^{0} = 1[/tex]
so
[tex]4 {}^{0} = 1[/tex]
,So we finally have
[tex]4 {}^{2x + 3} = 4^{0} [/tex]
Set the exponents equal to each other
[tex]2x + 3 = 0[/tex]
[tex]2x = - 3[/tex]
[tex]x = - \frac{3}{2} [/tex]
The function G(x) = sin(x) is the result of the application of transformations
on the original function F(x) = cos(x). Which of the following options
correctly describes the transformations applied to F(x)?
A. A phase shift of n radians
B. A vertical shift of -1 unit
T
C. A phase shift of radians
2
a
D. A vertical shift of 1 unit
Sell
Answer: shifted by π/2 radians
Step-by-step explanation:
The function sine of 'x' can be equated to the function cosine of 'x' by shifting cosine by 180 degrees. In math words:
[tex]sin(x)=cos(x-180)[/tex]
The value 180 degrees in radians would be π/2. Therefore, in radians:
[tex]sin(x)=cos(x-\pi /2)[/tex]
The 'x' inside of the functions is called the argument, and the value added or subtracted to the argument is the phase. The correct answer would be that sine is equal to cosine shifted by a phase of π/2 radians
lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work.
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work.
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.
Answer:
There would be 173,535 lionfish after 6 years.
Step-by-step explanation:
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A)
8000 x 1.67 ^ n = f
B)
8000 x 1.67 ^ 6 = X
8000 x 21.691961596369 = X
173,535.692770952 = X
C)
(8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
Which of the following is the correct way to write the amount $73.78 on a check?
Answer:seventy-three and 78/100 dollars
Step-by-step explanation:hope that helps
a car travels at a speed of 300km per hour in 3 hours,what is the distance covered
a Japanese giant salamander can weigh 140 lb what is the weight in ounces
Please help!
Part A and part B please
Answer:
39
Step-by-step explanation:
Given:1st grade:
19%2nd grade:
14%3rd grade:
22%4th grade:
26%5th grade:
19%TOTAL : 205 students.To find -Since the total students have been given, we just have to find the percentage of the 205 students that are 5th graders (19%).
So this can be found out:
19% of 205
Solution:
Always use this formula to find a percentage:
% / 100 = Part / Whole replace the given values:
19 / 100 = Part / 205
Cross multiply:
19 x 205 = 100 x Part, or
3895 = 100 x Part
Now, divide by 100 and get the answer:
Part = 3895 / 100 = 38.95
Since decimal cant be a whole number round to nearest tenth:
First note that 38.95 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 38Fractional Part: 95To round 38.95 to nearest tenth means to round the numbers so you only have one digit in the fractional part.
We use the following rules to round 38.95 to the nearest tenth:
A) If the last digit in the fractional part of 38.95 is less than 5, then simply remove the last the digit of fractional part.B) If the last digit in the fractional part of 38.95 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.C) If the last digit in the fractional part of 38.95 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.With 38.95, rule C applies and the answer is:
39.0
solve by completing the square:
x^2+3x-70=0 (Answer: -10, 7)
x^2=-10x-30 (Answer: { })
help and with explanation; will give brainliest
Answer:
Step-by-step explanation:
x² + 3x - 70 = 0
x² + 3x = 70
x² + 3x + (3/2)² = 70 + (3/2)²
(x + 3/2)² = 70 + 9/4 = 289/4 = (17/2)²
so
x + 3/2 = ±17/2
x = ±17/2 - 3/2
x₁ = 17/2 - 3/2 = 14/2 = 7
x₂ = -17/2 - 3/2 = -20/2 = -10
x² = -10x - 30
x² + 10x = -30
x² + 10x + (10/2)² = -30 + (10/2)²
x² + 10x + 25 = -30 + 25 = -5
(x + 5)² = -5
[tex]x+5 = \pm\sqrt{-5}\\x + 5 = \pm i \sqrt{5}\\x = -5\pm i \sqrt{5}\\\\x_1 = -5+ i \sqrt{5}\\\\x _2= -5- i \sqrt{5}\\[/tex]
8-109. Solve each equation.
.
a. 6x+12=-x-2
Answer:
x = -2
Step-by-step explanation:
6x+12 = -x-2
7x+12 = -2(bring x to the left)
7x = -14(bring constants to the right)
x = -2
(2x – 4) and ( 5x²-2x+6)
Answer:
2(x-2)(5x^2+4)
maybe i am wrong sorry if i am