Answer:
The answer is -6, -8, -10 and -43.
Step-by-step explanation:
You can solve it :
-2x > 10
x < 10 ÷ -2
x < -5
(take note: you have to change symbol when it is divided by a negative no.)
Then choose the numbers from the options that satisfies the inequality, x < -5
Answer:
-10
-6
-8
-43
Step-by-step explanation:
(-2)*(-10)=20, 20>10
(-2)*(-4)=8, 8<10
(-2)*2=-2, -2<10
(-2)*(-6)=12, 12>10
(-2)*(-5)=10, 10=10, so it is not true
(-2)*(-8)=16, 16>10
(-2)*0=0, 0<10
(-2)*(-43)=86, 86>10
hope this helps :D
1. If we vertically reflect the Figure A,
what will be the points?
a.
(4,3),
(4,0)
b.
2. If we transform the Figure B at the
point (-2,-4) at 90° right then what
will be the points?
(-4,2),
(-1,2),
(-2,-1)
c.
3. If we vertically reflect the Figure C,
what will be the points?
(3,2),
(4,2).
(5,0),
(4,0)
4. If we horizontally reflect the Fiqured
(22) 13.21
Solve the equation.
5x + 6 = 2(2x – 3)
x =
Dan’s aquarium holds 6 quartz of water more than Steven’s aquarium. Dan’s aquarium holds 7 gallons. How much does Steve’s aquarium hold?
A certificate of deposit has $10,000.00 and the bank pays 2.89% interest compounded monthly. After 5 years, what is the account balance?
Final Answer:
After 5 years, the account balance would be approximately $11,541.20.
Explanation:
To calculate the account balance for a certificate of deposit that has an initial amount of $10,000.00, with an annual interest rate of 2.89% compounded monthly over 5 years, we must use the compound interest formula:
[tex]\[ A = P \left(1 + \frac{r}{n}\right)^{nt} \][/tex]
where:
- A is the amount of money accumulated after t years, including interest.
- P is the principal amount, which is the initial amount of money ($10,000.00 in this case).
- r is the annual interest rate in decimal form (2.89% or 0.0289 in this case).
- n is the number of times that interest is compounded per year (12 times per year for monthly compounding).
- t is the time the money is invested for, in years (5 years in this case).
Firstly, we convert the annual interest rate from a percentage to a decimal by dividing by 100:
r = 2.89% = 0.0289
Now we substitute the given values into the formula:
[tex]\[ A = \$10,000.00 \left(1 + \frac{0.0289}{12}\right)^{12 \cdot 5} \][/tex]
We calculate the rate per period by dividing the annual interest rate by the number of compounding periods per year:
[tex]\[ \frac{0.0289}{12} = 0.00240833 \][/tex] (rounded to 8 decimal places for precision)
Now calculate the growth factor:
[tex]\[ \left(1 + \frac{0.0289}{12}\right) = 1 + 0.00240833 = 1.00240833 \][/tex]
This growth factor is raised to the power of 60 (since there are 12 months in a year and we are compounding for 5 years):
[tex]\[ (1.00240833)^{60} \][/tex]
Using a calculator, raise 1.00240833 to the power of 60 to get approximately:
[tex]\[ 1.00240833^{60} \approx 1.15412 \][/tex](rounded to 5 decimal places for simplicity)
Finally, multiply this result by the principal amount to find the accumulated amount:
[tex]\[ A = \$10,000.00 \times 1.15412 \approx \$11,541.20 \][/tex]
Therefore, after 5 years, the account balance would be approximately $11,541.20.
Find the exact length of the third side.
Answer:
The third side is sqrt(5)
Step-by-step explanation:
This is a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
We know the legs are 1 and 2 and we are looking for the hypotenuse.
1^2+2^2 = c^2
1+4 = c^2
5 =c^2
Take the square root of each side
sqrt(5) = sqrt(c^2)
sqrt(5) =c
The third side is sqrt(5)
Answer:
[tex]\sqrt{5}[/tex] or 2.236
Step-by-step explanation:
The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2
2^2 + 1^2 = h^2
4+1 = h^2
5 = h^2
[tex]\sqrt{5} = \sqrt{h^{2} }[/tex]
[tex]\sqrt{5} =h[/tex]
Which function is the inverse of f(x) = 2x + 3?
Answer:
y = 1/2x - 3/2
Step-by-step explanation:
The easiest way to find the inverse is to switch x and y and solve for y.
y = 2x + 3
x = 2y + 3 (Switch)
x-3 = 2y (Subtract y from both sides)
x/2 - 3/2 = y (Divide both sides by 2)
Answer:
The inverse is 1/2x -3/2
Step-by-step explanation:
y = 2x+3
To find the inverse, exchange x and y
x = 2y+3
Solve for y
Subtract 3 from each side
x-3 = 2y+3-3
x-3 =2y
Divide each side by 2
x/2 -3/2 = 2y/2
1/2x -3/2 =y
The inverse is 1/2x -3/2
PLEASE HELP REALLY EASY!!!!!!!!!!!!
The equation, y=−16x^2+32x+64, represents the height, in feet, of a firework x seconds after it is launched.
What is the maximum height of the firework?
Answer:
(1,80)
Step-by-step explanation:
hope i am being a good help
1) Determine the GCF and
2) write the expression in factored form.
(6x2 + 4x) + (4x2 – 8x)
Hey there,
The first step in solving this problem would have to be to add the two binomials together:
10x² - 4xKnowing this now we find the GCF which would have to be 2x which goes into both terms.
The factored form would have to be 2x(5x - 2).
The GCF is 2x and the factored form is 2x(5x - 2).
Hope I helped,
Amna
The GCF for the expression (6x2 + 4x) + (4x2 - 8x) is 2x, and the expression in factored form is 2x(5x - 2).
To determine the greatest common factor (GCF) and write the expression in factored form for (6x2 + 4x) + (4x2 - 8x), we should first combine like terms:
6x2 + 4x + 4x2 - 8x = 10x2 - 4x
We can then identify that both terms have a common factor of 2x. Factoring that out, we get:
2x(5x2/2x - 4/2) = 2x(5x - 2).
Write the fractional notation in lowest terms.
110 minutes to 4 hours.
Final answer:
To convert 110 minutes to a fraction of 4 hours, we first turn both quantities into minutes and then form a fraction. Reducing this fraction to its lowest terms, 110 minutes to 4 hours can be expressed as the fraction 11/24.
Explanation:
To express 110 minutes in terms of hours, we need to divide the number of minutes by 60, since there are 60 minutes in an hour.
110 minutes ÷ 60 minutes = 1 hour 50 minutes
Now we have to represent 1 hour 50 minutes as a fraction of 4 hours. First, let’s convert 1 hour 50 minutes entirely to minutes to make it easier to compare. There are 60 minutes in an hour, hence:
1 hour = 60 minutes
50 minutes = 50 minutes
Total minutes = 60 + 50 = 110 minutes
Since we know 4 hours is the same as 240 minutes (4 hours x 60 minutes/hour), we can now write the fractional notation:
110 minutes / 240 minutes
Reducing this fraction to lowest terms by dividing both the numerator and the denominator by 10 yields:
11 / 24
Therefore, 110 minutes to 4 hours is expressed as the fraction 11/24 in lowest terms.
how do you factorise 18x² + 9x?
please show the steps an answer fully, please
Answer:
9x(2x + 1)
Step-by-step explanation:
Looking at the two terms, notice that you can write the first term as:
18x² = 9x * 2x
Then, we can see that the first term and second term both have 9x in them. That means 9x is a common factor, so we can take it out from both of them ("take it out" basically means "divide"):
18x² + 9x = 9x * 2x + 9x = 9x * (2x + 1)
Thus, the factored form is 9x(2x + 1).
Hope this helps!
Find the total volume of the following composite figure with
h=7.5
and
r=3.6
Use 3.14 for LaTeX: \piπ.
Round to the nearest hundredth.
Given:
The height of the given fig = 7.5 unit
The radius of the given fig = 3.6 unit
To find the volume of the given composite figure.
Formula
The volume of the given fig
[tex]V = V_{1}+V_{2}[/tex]
where,
[tex]V_{1}[/tex] be the volume of the cone
[tex]V_{2}[/tex] be the volume of the semicircle
[tex]V_{1}=\pi r^{2} h[/tex], r be the radius and h be the height
[tex]V_{2} = \frac{2}{3} \pi r^{3}[/tex], r be the radius
Now,
Putting, r= 3.6, h = 7.5 and π = 3.14 we get,
[tex]V_{1} =(3.14)(3.6^{2} )(7.5)[/tex] cube in
or, [tex]V_{1}= 305.208[/tex] cube in
And,
[tex]V_{2} =\frac{2}{3} (3.14)(3.6^{3})[/tex] cube in
or, [tex]V_{2} = 97.67[/tex] cube in
So,
[tex]V = 305.208+97.67[/tex] cube in
or, [tex]V = 402.878[/tex] = 402.88 cube in
Hence,
The volume of the given figure is 402.88 cube in.
Plz hurry
The mean of a data set is 30. What is the deviation from the mean of a data point 27 that was part of the data set?
a) 1.5
b) –3
c) 3
d) –1.5
Answer:
c
Step-by-step explanation:
The deviation from the mean for the data point 27 in a data set with mean 30 is -3.
Explanation:In mathematics, the deviation from the mean of a data set is a measure of the distance between each data point and the mean. It is obtained by subtracting the mean from the data point. In this case, the mean of the data set is given as 30. To find the deviation from the mean for the data point 27, you simply subtract 30 (the mean) from 27 (the data point).
So 27 - 30 = -3
This means the deviation from the mean for the data point 27 is -3 which corresponds to option b.
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A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that the angle of elevation to the top of the mountain is 31. From a point 1000 feet closer to the mountain along the plain, they find that the angle of elevation is 34. How high (in feet) is the mountain?
Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
What is the slope of the line whose equation is 3x+2y=−4 ? Enter your answer in the box.
Answer:
m/slope = -1.5
Step-by-step explanation:
the square of a number and 7 times a number are -10
Write the equation and the answer
Step-by-step explanation:
The sum of the square of a number and 7 times a number
The phrase a number means an arbitrary variable, let's call it x.
x
Square the number:
x^2
7 times the number means we multiply x by 7:
7x
The sum means we add x^2 and 7x
x^2 + 7x
Answer:
The answer is x² + 7x + 10 = 0.
Step-by-step explanation:
First, you have to make an expression. By reading the question, we can make it :
Let number = x,
Square of a no,
x²
7 times a no,
7 × x
= 7x
And means ADD equals to -10,
x² + 7x = -10
x² + 7x + 10 = 0
(By forming an equation, you have to let expressions equals to 0, so I add 10 to both sides in order to get rid of -10)
April borrows $60 from her grandmother to buy basketball shoes. At the end of the first week, April pays back $5. At the end of each of the following weeks, she pays back $3 more than she did the previous week. The arithmetic sequence 5, 8, 11, 14, . . . can be used to represent this situation. In this sequence n represents what?
Answer:
Step-by-step explanation:
Yes. n represents the number of week
Answer:
1: number of weeks
2. the payment amount for the end of week n
3: A
5. A hockey player whose initial speed is 8.1 m/s increases his speed to 8.6 m/s in order to get to
the puck first. If the hockey player takes 5.0 seconds to complete this increase in speed, what
is his acceleration?
Answer:
0.1m/s²
Step-by-step explanation:
the explanation is in the picture
please rate and mark as brainliest
Can you please help me out ASAP plzz
Answer:
c
Step-by-step explanation:
The dot plot shows the birth year of everyone who works at Sam’s office. The youngest person who works there was born in 1987. Sam described the data as having a spread from 1965 to 1987, four gaps, a peak at 1984, and a center of 1978. Where did Sam make an error?
Answer:The correct answer is The spread is from 1966 to 1987
Step-by-step explanation:
Sam makes an error when recording by imputing the spread as being from 1966 to 1987 .If this happens ,then it will affect all other results such as the gap ,center and peak which will change
Answer:
A is the right answer
Step-by-step explanation:
I know this because i got it right on my test.
PLEASE HELP THIS IS URGENT I AM BEING TIMED IF YOU CAN ANSWER THIS CORRECT I WILL CALL YOU BRAINLYES
Change each fraction to a decimal and then to a percentage. Include a fraction in the hundredths place if needed. Do not round. Write the decimal, then the percentage. Separate your answer with a comma and a space.
Example: 0.10, 10%
Example: 0.12 3/4, 12 3/4%
23/40
AS A DECIMAL AND A PERCENTAGE
Answer:
23/40 = as a decimal: 0.575 As a percentage 57.5%
Step-by-step explanation:
I know this because I used a online site to check my work.
I hope this helps you! :)
plz mark brainliest :)
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
353, 346, 339,...
Find the 37th term.
Answer:
66
Step-by-step explanation: What i did was take and figure out the pattern which is -7 every number. Then i went and multiplied 7 x 37 and got 259. Then I took 259 and subtracted that from 339 and got 66 which should be your answer.
The rule is applied to trapezoid ABCD to produce the final image A"B"C"D".
Trapezoid A double-prime B double-prime C double-prime D double-prime has points (negative 4, 5), (negative 1, 5), (0, 3), (negative 5, 3).
Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD? Select two options.
(–1, 0)
(–1, –5)
(1, 1)
(7, 0)
(7, –5)
Transformation involve moving a point away from its original location.
The vertices of the pre-image are (–1, 0) and (–1, –5).
How does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
The rule is given;
[tex]r_{y = x} T_{4,0(x,y)}[/tex]
The rule means that
ABCD was translated by 4 units to the right, then reflected over line y = x,
The rule of right translation by 4 units,
(x, y) --- (x+4, y)
The rule of reflection over,
(x, y) --- ( y, x+ 4)
The coordinates of A"B"C"D" are: (-4, 5), (-1, 5), (0, 3), (-5, 3).
Hence, the vertices of the pre-image are (–1, 0) and (–1, –5).
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Which of the following points lies on the graph of this equation?
A) (-3,2)
B) (3,5)
C) (3,3)
D) (6,8)
Answer:
C(3,3)
Step-by-step explanation:
Fill in the blank with the correct response.
If the diameter of a circle is 12 feet, then the radius of the circle is how many feet?
pls help!
Answer:
Answer is
Radius of a circle is 6 feet
Step-by-step explanation:
[tex]given \: diameter \: = 12 \: feet \\ d = 2r \\ radius = \frac{d}{2} \\ = \frac{12}{2} \\ = 6[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
Answer:
6ft
Step-by-step explanation:
Determine the slope of the line that has the following coordinates: (1.5, 6) (3.75, -12)
A. 18/2.25
B. -18/5.25
C. -6/2.25
D. -18/2.25
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
Answer:
The answer to your question is the letter D.
Step-by-step explanation:
Data
Point A = (1.5, 6)
Point B = (3.75, -12)
Slope measures the steepnees of a line.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Asign values to x1, y1, x2 and y2
x1 = 1.5 y1 = 6 x2 = 3.75 y2 = -12
-Substitution
m = (-12 - 6) / (3.75 - 1.5)
-Simplification
m = -18 / 2.25
-Result
m = 8
It is possible to simplify more the result so slope = 8.
This is urgent, please answer!
What is the area of this composite figure?
Answer: 978 in. squared
Step-by-step explanation:
area of the rectangle : 24 x 30 = 720
area of the two triangles combined : (9 x 12) ÷ 2 = 54 x 2 = 108
area of the triangle on top of the other triangle : (20 x 15) ÷ 2 = 150
720 + 108 +150 = 978
Kareem drove 225 miles using 10 gallons of gas. At this rate, how many gallons of gas would he need to drive 441 miles?
how many gallons
Answer:
19.6 gallons
Step-by-step explanation:
If 10 gallons of gas were used to drive 225 miles then If kareem drove on 1 gallon of gas would take 22.5 miles.
so 1 gallon=22.5 miles,441 miles=19.6 gallons because,441/22.5=19.6 gallons.
The Kareem 19.56 gallons of gas to drive 441 miles at the same rate.
To find the number of gallons Kareem to drive 441 miles at the same rate, set up a proportion based on the given information:
Miles driven / Gallons of gas = Miles to be driven / Gallons of gas
Using the values provided:
225 miles / 10 gallons = 441 miles / x gallons
cross-multiply to solve for x:
225x = 10 ×441
Dividing both sides of the equation by 225:
x = (10 ×441) / 225
Calculating the value:
x ≈ 19.56
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Please help me I’m lost
Answer:
look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.
Step-by-step explanation:
What is 2/15 of 75?
Explain how you did it
Answer:
10
Step-by-step explanation:
2/15 of 75
2/15 × 75
2 × 75/15
2 × 5
10
Solve (x + 5)∕3 = 4 for x.
Question 9 options:
A)
17
B)
23
C)
61∕3
D)
7
Answer:
x+5=12
x=7 aka D
Step-by-step explanation:
Hope it helps !
Final answer:
To solve the equation (x + 5) / 3 = 4 for x, multiply both sides by 3 and then subtract 5 from both sides, which yields the solution x = 7.
Explanation:
To solve the equation (x + 5) \/ 3 = 4 for x, we start by performing the inverse operation of the division by 3 to isolate x. We multiply both sides of the equation by 3:
3 * ((x + 5) \/ 3) = 3 * 4
Now, the equation simplifies to:
x + 5 = 12
Next, we subtract 5 from both sides of the equation to solve for x:
x + 5 - 5 = 12 - 5
Which gives us:
x = 7
So the answer to the equation is D) 7.