Answer:
-(12+a)(a+2)
Step-by-step explanation:
this is to ez
The expression as a product is (a+12)(-a-2)
What is an expression?An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²
= 25 - (a²+49+14a)
= 25-a²-49-14a
= -a²-14a-24
Factorizing,
= -a²-12a-2a-24
= -a(a+12)-2(a+12)
= (a+12)(-a-2)
Hence, the expression as a product is (a+12)(-a-2)
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Can i get some help With This Please
Step-by-step explanation:
See the solution for each part
1)
f(-2) = - 3(-2) - 6 = 6 - 6 = 02)
g(3) = 3² + 4 = 9 + 4 = 133)
f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 184)
f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 455)
x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) = - (x + 6)/3Now
f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45Gobe weighs 53.6 kg. he wears shoes which weigh 450 gm and carries a school bag weighing 4.5 kg. if he stands on the scales in his shoes and carrying the school bag. what weight will be recorded?
Answer:
The key to this question is converting all the mass units to the same unit and adding them all up.
The only value that isn't consistent with the other units is 450 gm or grams.
Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000
[tex]450gm * \frac{1}{1000} = 0.45kg[/tex]
Now let's add up all the masses.
[tex]53.6kg + 0.45kg + 4.5kg = 58.55 kg\\[/tex]
(Now a few footnotes here, that I considered but wasn't sure about. The answer asks for weight, but you're only given mass to work with. That would be fine, if the question asked you to convert it to SI weight units like Newtons, but there's no mention of that. And also I'm not sure if the question requires significant digits. But I'll continue the answer if you think so)
To convert this into weight in Newtons, multiply by 9.81 m/s^2
[tex]58.55kg*9.81m/s^2 = 574.3755 N\\\\= 5.7 * 10^2 N[/tex]
In which of the following situations should a debit card be used? A Eugene is at a cash-only restaurant, and needs to use the ATM. B Eugene is going to buy a guitar, but he does not have the money for it. с Eugene is not sure how much money is in his account and does not want an overdraft fee. D Eugene was in a car crash, and now he has a lot of expensive medical bills to pay.
Answer:
the answer is A
Step-by-step explanation:
If Eugene is at a cash-only restaurant he must withdraw cash out of his bank account (linked to debit card.)
Suppose $500 is divided into two bank accounts. One account pays 15% simple interest per year and the other pays 10%. After three years there is a total of $200 in interest between the two accounts. How much was invested into the bank account that pays 15% simple interest (rounded to the nearest cent)?
Answer:
x = amount invested in the 15% account
x*.15*3 + (500-x)*.1*3 = 200
x = 333.33
so, 500-333.33 = 166.67 at 10%
Step-by-step explanation:
Answer:
x = amount invested in the 15% account
x*.15*3 + (500-x)*.1*3 = 200
x = 333.33
so, 500-333.33 = 166.67 at 10%
Step-by-step explanation:
sorry if i did it wrong
A circular counter top has a radius of 5 feet.
Enter the area, in square feet, of the counter top. Round your answer to the nearest tenth.
Answer:78.6[tex]ft^{2}[/tex]
Step-by-step explanation:
Area=π[tex]r^{2}[/tex]
Area=[tex]\frac{22}{7}[/tex] x [tex]5^{2}[/tex]
=[tex]\frac{22}{7}[/tex] x 25
=78.6[tex]ft^{2}[/tex]
Identify the value of y.
7(5-5y) = 9y-4-357
Hey there!
Let's solve this equation!
The first step is to use the Distributive Property.
7(5-5y)=9y-4-357
35-35y=9y-361
Combine Like Terms:
-35y-9y=-361-35
-44y=-396
Divide both sides by -44:
y=9
Hence, the answer is:
[tex]\boxed{\boxed{\bold{y=9}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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[tex]\rule{200}{2}[/tex]
What is the value of X
Answer:
x ≈ 23.31
Step-by-step explanation:
We can use the law of cosines because we know 2 sides and 1 angle.
The general formula for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.
[tex]c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }[/tex]
In our problem the law of cosines is
x = [tex]\sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}[/tex]
x ≈ 23.31
Ella traveled by train to visit her friend.
• It took 3 hours for Ella to reach her destination.
• The train averaged a speed of 100 miles per hour.
Enter an equation to express the distance, d, Ella traveled.
Answer:
d = st, d = 100 x 3
Step-by-step explanation:
distance = speed x time
distance = 100 x 3, therefore, distance = 300, but if you just want the equation, it is d = 100 x 3 or d = st
Step-by-step explanation:
d = 100 x 3.
d= 100n
where n = time the journey took.
Mr Shreshta borrowed rupees 2,000 from a bank at the rate of 4 % per year
i need answer
step by step
process by process
Answer:
Rs. 480
Step-by-step explanation:
Per month interest amount = 2000 x 0.02 = Rs.40
One total interest cost =Rs. 40 x 12 ( 12months i. e. 1 year)
= Rs. 480
Given the function h of x equals negative 2 times the square root of x, which statement is true about h(x)?
The function is decreasing on the interval (0, ∞).
The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (0, ∞).
The function is increasing on the interval (–∞, 0).
Using translation concepts, it is found that the correct statement about h(x) is:
The function is decreasing on the interval (0, ∞).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is:
[tex]f(x) = \sqrt{x}[/tex]
Which is increasing on (0, ∞).
After the translation, the function is:
[tex]h(x) = -2\sqrt{x}[/tex]
It was multiplied by a negative number, which means that it was reflected over the x-axis, and it will be decreasing on the interval (0, ∞).
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A. where will vertex A be located after a rotation of -90°
B. where will vertex B be located after a rotation of 90°
C. where will vertex C be located after a -180° rotation
D. where will vertex D be located after a 270° rotation?
Answer:
this image should help a lot:
vertex b: (-5,3)
vertex a: (0,-1)
vertex c: (-6,-7)
vertex d: (-4,-1)
Step-by-step explanation:
The length of a rectangular frame is represented by the expression 2x 10, and the width of the rectangular frame is represented by the expression 2x 6. Write an equation to solve for the width of a rectangular frame that has a total area of 140 square inches. 4x2 32x − 80 = 0 4x2 32x 60 = 0 2x2 32x − 80 = 0 x2 16x 60 = 0.
The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.
What is the area of the rectangle?The area of the rectangle is the product of its length and its breadth.
As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².
Now we know the area is the product of length and breadth, therefore,
[tex]\rm \text{Area of rectangle} = length \times breadth[/tex]
[tex]140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0[/tex]
Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.
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Answer:
A.) 4x2 + 32x − 80 = 0
Step-by-step explanation:
Just took the test
Draw and label a triangle with a base that is 3 times its height and has an area that is less than 50 square inches.
Answer: i dont knpw how to do tht can u tell me where to draw im just getting points
Step-by-step explanation:
What are the solutions to the equation x^2 - 8x= 24
Answer:
Step-by-step explanation:
Try to get all the numbers and variables on one side of the =
X^2 - 8x - 24 = 0
I think solving this equation via factorisation would be difficult so you should use the quadratic formula which I have attached.
Select the correct answer.
Tracy wants to make a cylindrical model. The height of the cylindrical model, H(V), in inches, is modeled by this
equation, where Vis the volume of the cylindrical model, in cubic inches.
H(V) = 2. 6937
What is the average rate of change of the model's height when its volume changes from 512 cubic inches to
1,000 cubic inches?
The model's height increases by approximately 21. 52 inches for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 0. 022 inch for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 0. 011 inch for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 26. 9 inches for every 1-cubic-inch increase in its volume.
The average rate of change of the height function is slope of the height function
The model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
How to determine the average rate of change?The height function is given as:
[tex]H(V) = 2.69\sqrt[3]{V}[/tex]
When V = 512, the function becomes
[tex]H(512) = 2.69\sqrt[3]{512}[/tex]
[tex]H(512) = 21.52[/tex]
Similarly;
When V = 1000, the function becomes
[tex]H(1000) = 2.69\sqrt[3]{1000}[/tex]
[tex]H(1000) = 26.9[/tex]
The average rate of change is then calculated as:
[tex]H' = \frac{H(1000) - H(512)}{1000 - 512}[/tex]
This gives
[tex]H' = \frac{26.9 - 21.52}{1000 - 512}[/tex]
[tex]H' = \frac{5.38}{488}[/tex]
Evaluate the quotient
[tex]H' = 0.01102459016[/tex]
Approximate
[tex]H' = 0.011[/tex]
Hence, the model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
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Answer:
The model’s height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
Step-by-step explanation:
Plato/Edmentum
(2)•(4.5)=? Fill in the missing number in the equation
Answer:
9
Step-by-step explanation:
twice the value of 4.5 equals 9
Can someone help me?
Answer:
Min = 4
Q1 = 9.5
Median = 13
Q3 = 16
Max = 19
Step-by-step explanation:
4, 6, 9, 10, 11, 12, 13, 13, 14, 15, 17, 17, 19
Q1 Q2 Q3
Min (minimum value) = 4
Q1 (middle value of values before Q2) = (9 + 10) / 2 = 9.5
Median (middle value) = 13
Q3 (middle value of values after Q2) = (15 + 17) / 2 = 16
Max (maximum value) = 19
Is 1,-9 a solution to y=-9
Answer:
yes
Step-by-step explanation:
(x,y) -> (1,-9) y=-9
What is the area of this polygon?
Enter your answer in the box.
surface area of prisms: find it and. fix it
Answer:
Step-by-step explanation:
i can't solve without seeing the prism
The probability of an event happening is given as 0.45
What is the probability of the event NOT happening?
Given:
⇒ Probability of happening of an event = 45%
To Find:
⇒ Probability of event
Now, probability of happening of an event is 45% means non happening event is 100 - 45 = 55%.
⇒ Probability of happening event = 45/100
⇒ Probability of happening event = 0.45
⇒ Probability of non happening event = 55/100
⇒ Probability of non happening event = 0.55
Hence, the correct option is (c) 0.45.
Extra Info:
Probability is the likelihood /chances of a given event's occurence which is expressed as a number between 1 and 0.
Identify the percent of change.
72 paper clips to 63 paper clips
Percentage Calculator: What is the percentage increase/decrease from 72 to 63? = 12.5.
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$ Tools -
Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify 972-317 + V8 - 28
011/2-5/7
0 1184 – 5/14
065
be
C 6/9
Question 5 Multiple Choice Worth 1 points)
(03.01 LC
Answer:
The choice A.
Step-by-step explanation:
[tex]9 \sqrt{2} - 3 \sqrt{7} + \sqrt{8} - \sqrt{28} \\ \\ 9 \sqrt{2} - 3 \sqrt{7} + ( \sqrt{2} \sqrt{4} ) - ( \sqrt{4} \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + (2 \sqrt{2} ) - (2 \sqrt{7} ) \\ 9 \sqrt{2} - 3 \sqrt{7} + 2 \sqrt{2} - 2 \sqrt{7} \\ (9 \sqrt{2} + 2 \sqrt{2} ) + ( - 3 \sqrt{7} - 2 \sqrt{7} ) \\ 11 \sqrt{2} - 5 \sqrt{7} [/tex]
The simplified value of in radical form is 11√2 - 5√7.
What is Radical?In mathematics, a radical is the inverse of an exponent, which is represented by the symbol '√' , also known as root. It can be a square root or a cube root, and the number preceding the symbol or radical is known as an index number or degree. This is a whole integer with an exponent that cancels out the radical.
We have 9√2 - 3√7 + √8 - √28
First, solve the radical as possible
√8= 2√2
and, √28= 2√7
So, 9√2 - 3√7 + √8 - √28
= 9√2 - 3√7 + 2√2- 2√7
= 9√2 + 2√2- 3√7- 2√7
= 11√2 - 5√7
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The carson family pays $3,252 a year for their cell phones is $3,252 a reasonable answer?
Answer:
Here we will show you how to calculate how much you will make in a year if you make $3252 an hour. Our calculations are based on the following information, but you can change the numbers further down on this page to make it better reflect your situation.
Hourly Pay: $3252
Work hours per week: 40
Work weeks per year: 52
Income Tax Rate: 12%
To calculate how much $3252 an hour is per year, we first calculate weekly pay by multiplying $3252 by 40 hours per week, and then we multiply the product by 52 weeks, like this:
$3252 × 40 hours
= $130,080.00 per week
$130,080.00 × 52 weeks
= $6,764,160.00 per yearNow you know that your gross income per year (income before tax) is $6,764,160.00 if you make $3252 per hour. However, you have to deduct taxes to find your net yearly income (income after tax).
Everyone has to pay 6.2% Social Security Tax and 1.45% Medicare Tax. Furthermore, we assume you will pay about 12% in Federal, State, and Local income taxes. Here is how to calculate your net income (the actual amount you will receive per year):
Social Security Tax
($6,764,160.00 × 6.2)/100
= $419,377.92
Medicare Tax
($6,764,160.00 × 1.45)/100
= $98,080.32
Income Taxes
($6,764,160.00 × 12)/100
= $811,699.20
+ $6,764,160.00 Gross Income
- $419,377.92 Social Security Tax
- $98,080.32 Medicare Tax
- $811,699.20 Federal/State/Local Taxes
= $5,435,002.56 Net IncomeThere you have it. Now you have the answer to "$3252 an hour is how much a year?" If you make $3252 per hour, then your yearly income before taxes is $6,764,160.00 and your yearly income after taxes is $5,435,002.56
We made some assumptions about how much you work and how much taxes you have to pay. You can adjust these assumptions below to match your situation to get the exact amount for your situation.
Step-by-step explanation:
Question 9 (Mandatory) (1 point)
A bakery sells hollow chocolate spheres. Each chocolate sphere contains
about 19.4 cubic inches of chocolate.
The bakery packages 8 of them into a box. If the density of the chocolate is
1.308 g/cm3, determine and state, to the nearest gram, the total mass of the
chocolate in the box.
a) 198
b) 203g
C) 25g
d) 150g
Answer:
B) 203 grams
Step-by-step explanation:
19.4 * 1.308 = 25.3752
25.3752 * 8 = 203.0016
WILL GIVE BRAINLIEST
pls if you can pls include step by step explanation
Answer:
A. 0.125 foot per square feet
Step-by-step explanation:
When finding average rate of change, use the formula
ΔY/ΔX
The ΔY, or Y final - Y initial would be 1.5-1.0, which is equal to 0.5.
The ΔX, or X final - X initial would be 7-3, which is equal to 4.
Plug these values into the equation ΔY/ΔX to get 0.5/4.
This will give you 0.125.
Can someone please help me I I’ll give u brainest
Answer:
b. translation, rotation
Step-by-step explanation:
When a shape is translated, that just means nothing about it has changed except it's location on the coordinate plane. This is that happened with shape 1 - it was translated, and that created shape 2.
When a shape is rotated, that just means it is turned (or rotated) at a specific point. This is what happened to shape 2 that changed it to shape 3.
The other two transformations that aren't shown in this specific example are dilation, which means that the shape either shrinks or grows, and reflection, which means that the shape is reflected across the y-axis or the x-axis.
I included a picture with all four transformation examples in it. I hope this helps! Have a lovely day!! :)
Answer below
due today at noon
Answer:
x = -3
Step-by-step explanation:
A vertical line has an equation of the form
x = a
where a is the x-coordinate of every point on the line.
Every point on the line has x-coordinate -3, so the equation is
x = -3
At a concession stand 6 hot dogs cost $6.72. At this rate, how much would 8 hot dogs cost, in dollars and cents?
Answer:
$8.96
Step-by-step explanation:
Since 6 hot dogs are $6.72, 1 hot dog would be that divided by 6, which is $1.12. Now we want the cost of 8 of those hot dogs, so we have to multiply by 8. Hence the answer is $1.12 * 8 = $8.96.
What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth
[tex]\rightarrow[/tex]Radius(r) of sphere = 3m
To Find:-[tex]\rightarrow[/tex] Volume of the sphere.
Formula Used:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex]
Solution:-[tex]\rightarrow[/tex]Volume of sphere = [tex]\sf{\frac{4}{3}πr^3}[/tex](putting the value of r(radius) from the above given and pie(π) = [tex]\sf{\frac{22}{7}}[/tex])
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×3^3}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{4}{3}×\frac{22}{7}×27}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=\frac{2,376}{21}}[/tex]
[tex]\rightarrow[/tex][tex]\sf{=113.14m^3}[/tex]
Therefore, the volume of the sphere [tex]\sf{=113.14m^3}[/tex], which can be rounded off to it's nearest tenth as [tex]\sf{113.1m^3}[/tex]
____________________________________
Hope it helps you:)