Answer:
7x^4
Step-by-step explanation:
simplify
-3m -4>8
How do I solve this equation?
Answer:
m < -4
Step-by-step explanation:
-3m - 4 > 8
add four to each side
-3m > 12
divide each side by -3 (since you are dividing by a negative the sign changes from > to <)
m < -4
Answer:
m<-4
Step-by-step explanation:
1. -3m-4>8
2. -3m>12 (add four to both sides)
3. m<-4 (divide by -3 on both sides, since you are dividing by a negative number your sign flips)
What is the correct answer for problem a and c
A direct relationship shows that as x increases, y also increases.
For a.
It shows that as x increases, y also increase and this might be a direct variation.
Let's the option for the given table.
\(\begin{gathered} y=40x \\ \text{when x = }0.2,\text{ y = }8 \\ y=40(0.2)=8 \\ \text{when x = }0.5,\text{ y = 20} \\ y=40(0.5)=20 \end{gathered}\)Since it satisfies the option, the answer is direct and y = 40x
For b.
It shows that as x increase, y decrease and this might be an inverse variation, but inverse variation in the option is already selected for b, so the answer is neither
and the equation is no equation (since there's no other remaining option for the equation.)
please help me with this question:(
Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
The measure of an angle is 60 greater than the measure of its complement find the measure of each angle
Answer:
\( \\ \\ 90-60=30degree \\ \\ \)
Answer:
15° and 75°
Step-by-step explanation:
The sum of the measures of complementary angles is 90.
Angle 1 measures x.
Angle 2 measures x + 60.
Their sum is 90.
x + x + 60 = 90
2x + 60 = 90
2x = 30
x = 15
x + 60 = 75
Answer: 15° and 75°
In the data set shown below, what is the value of the quartiles?
{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92
Answer:
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95Step-by-step explanation:
Q2 is the median of the data set:
Q2 = 5.5Q1 is the median of lower half:
Q1 = (4.5 + 4.7)/2 = 4.6Q3 is the median of upper half:
Q3 = (5.9 + 6)/2 = 5.95Correct choice is A
Answer:
A.Q1 = 4.6;Q2 = 5.5;Q3 = 5.95
Step-by-step explanation:
I hope this helps
Madelyn wants to buy a charm bracelet. Oxford Fine Jewelry charges $12 per charm, plus $40 for the bracelet. Espinoza Jewelers, in contrast, charges $14 per charm and $30 for the bracelet. If Madelyn wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be?
Using a system of equations, for Madelyn to add a certain number of charms to her bracelet, where the cost will be the same at either jewelry shop, the number of chams would be 5.
What is a system of equations?When two or more equations are solved concurrently, they are described as a system of equations.
Another description of a system of equations is simultaneous equations.
Oxford Fine Espinoza
Unit cost per charm $12 $14
The cost of the bracelet $40 $30
Let the number of charms = c
Equations:Equation 1: (Costs at Oxford Fine) 12c + 40
Equation 2: (Costs at Espinoza) 14c + 30
For the cost to be the same at either jewelry shop, Equation 1 must equal Equation 2:
12c + 40 = 14c + 30
-2c = -10
c = 5
Check:
12c + 40
12(5) + 40 = $100
14c + 30
14(5) + 30 = $100
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How do you solve this?
Please hurry need help, Answer choices-
A.9
B.-2
C.11
D.3
The numerical value of x in angle ABD is 9 as angle ABC is divided into two equal halves.
What is the numerical value of x?An angle bisector divided an angle into two equal halves.
From the diagram:
Line BD divides angle ABC into two equal halves.
Angle ABD = ( 3x - 7 ) degrees
Angle DBC = 20 degrees
Since angle ABD and DBC are equal haves;
Angle ABD = Angle DBC
Plug in the values:
( 3x - 7 ) = 20
Solve for x:
3x - 7 = 20
Add 7 to both sides:
3x - 7 + 7 = 20 + 7
3x = 27
x = 27/3
x = 9
Therefore, the value of x is 9.
Option A)9 is the correct answer.
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7) y + z - x; use x = 2, y = 5, and z = 5
Answer:
5+5-2
= 8
Step-by-step explanation:
The value of y=5 add z=5 subtract x=2
Step-by-step explanation:
where,
x = 2
y = 5
z = 5
Therefore,
y + z - x
\( = 5 + 5 - 2\)
\(answer = 10 - 2\)
\( = 8\)
HELP MAN PLEASE IM CRYING I NEED HELP I WILL DO ANYTHING
Answer:
see below
Step-by-step explanation:
OK, so volume of LxWxH. so for shape 1 it's 14x8x7=784
Its asking for base times height which is 112 so the blanks are 112 then 7 then 784
the second one is the same. the base is 81 times the height of 9 which is 729
so the blanks are 81 than 9 than 729
the third base is 20 times height of 11 which is 220
so the blanks are 20 than 11 than 220
what statements are true about this function
The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
What is inverse of a function?An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.
now the given functions are,
f(x) = √(2x + 2) and
g(x) = (x^2 -2)/2
Now,
f{g(x)} = f{(x^2 -2)/2}
= √(2(x^2 -2)/2 + 2)
= √ x^2 -2 + 2
f{g(x)} = √ x^2
f{g(x)} = x
Now,
g{f(x)} = g{ √(2x + 2)}
= (√(2x + 2)^2 -2)/2
= (2x + 2) -2 /2
= 2x/2
f{g(x)} = x
Here we see that ,
f{g(x)} = g{f(x)}
Hence f and g are not inverses.
∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .
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A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $291 per month. The cost of prenatal care and delivery is approximately $3000.
The best choice for the man and his spouse is that they should upgrade to the new policy because the current policy costs $1,044 for nine months, which is significantly less than the upgrade which costs $2,619 for nine months. That is option A.
What is a health insurance?A health insurance is defined as the amount of money deducted from a salary account which is used for health care services of the individual when accumulated over time.
The man and his spouse are expectant and they believe that the money for prenatal care and delivery would be from the health insurance.
Therefore, they should upgrade to the health insurance that pays $291 per month so as to accumulate an amount such as $2,619 which is approximately $3000.
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Complete question:
Analyze the following situation and determine which decision would be the best decision to make. Explain your answer. A man and his spouse are expecting a baby. Their current health insurance costs $116 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $291 per month. The cost of prenatal care and delivery is approximately $3000. Select the correct choice below and fill in any answer boxes within your choice.
O A. They should upgrade to the new policy because the current policy costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.
OB. They should keep their current policy because it costs $ for nine months, which is significantly less than the upgrade which costs $ for nine months.
Ahmed has a large can of applesauce. He gives 1/3 of th
applesauce to Sasha. Sasha uses 1/10 of the applesauce to bake
muffins. How much of the original container of applesauce does
Sasha use to bake muffins?
By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.
How to take the product of two fractions?
Remember that the product of two fractions is just:
\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)
Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:
\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)
This means that she uses 1/30 of the original container of applesauce to bake muffins.
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In the diagram, the parallel lines are cut by transversal BC−→−.If BD−→− bisects ∠ABC and m∠3 = 80, what is m∠ABD?
The value of m ∠ABD will be;
⇒ ∠ ABD = 50°
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
In the diagram, the parallel lines are cut by transversal BC.
And, BD bisects ∠ABC and m∠3 = 80.
Now,
Since, The parallel lines are cut by transversal BC.
Hence, We get;
⇒ ∠ 3 + ∠ 2 = 180°
⇒ 80° + ∠ 2 = 180°
⇒ ∠ 2 = 180 - 80
⇒ ∠ 2 = 100
And, We have;
⇒ ∠ 2 = ∠ ABC
⇒ ∠ ABC = 100°
Since, BD bisects ∠ABC.
Hence, We get;
⇒ ∠ ABD = 100 / 2
⇒ ∠ ABD = 50°
Thus, The value of m ∠ABD = 50°
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9. Kyoko plans to put a new wood floor in her den, which is shown in the floor plan.
a. What is the area of the floor?
b. At a cost of $11 per square foot, how much will it
cost to put down the new floor?
c. Kyoko plans to put a rectangular area rug in the
room. The rug will be large enough so that only
a 2-foot wide section of the wood floor will be
exposed on each side. Find the dimensions of the
area rug.
d. What is the area of the area rug?
Den
17 ft x 14.5 ft
e. Find the area of the wood floor that will be exposed once the area rug is laid down.
a.) The area of the floor = 246.5ft²
b.) The amount that it will cost to put down the new floor would be = $2,711.5
C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.
d.) The area of the area rug would be = 388.5ft²
How to calculate the area of the floor?For question a.)
The floor has a rectangular shape. The area of a rectangle = length×width
area of the floor= 17×14.5
= 246.5ft²
For question b.)
For a square foot(1ft²) = $11
246.5ft² = 246.5×11 = $2,711.5
For question c.)
Since the rug will be extended by 2ft at each side, the new dimensions would be:
length = 2+2+17 = 21ft
width = 2+2+14.5 = 18.5ft
For question d.)
The area of the floor with the new dimensions = 21×18.5 = 388.5ft²
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Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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my
Donald can type 240 words in 6 minutes. How long will it
take him to type a 1000-word essay if he types at the
same rate?
Answer:
25min
Step-by-step explanation:
40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*
(the unit rate)*. Sorry if I'm worng.
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression. Write the algebraic expression that Danielle should write. Type your expression with no spaces.
The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given:
Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.
Let the number is n.
The phrase can be expressed as,
2n - 4.
Therefore, the expression is 2n - 4.
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In a race competition the probability that Harry wins is 0.4, the probability that Krish wins is 0.2 and the probability that Jonny wins is 0.3.
Find the probability that Harry and Jonny wins
Harry or Krish or Jonny wins
Someone else wins.
Answer:
jonny is the winner.
Step-by-step explanation:
No. of wins harry has = 0.4
No. of wins krish has = 0.2
No. of wins jonny has = 0.3
To find the prbability of harry and jonny = 0.4 + 0.3
= 0.7
Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.
krish = 0.2
harry = 0.4
= 0.6
now we have all three's score, so we will now see which is the greatest number.
krish= 0.6
harry = 0.4
jonny = 0.7
The greatest number is 0.7.
Hence, jonny is the winner!
HOPE IT HELPS PLZ MARK ME BRAINLIEST :D
A local elementary is applying for a four-year grant to provide an afterschool science program. The amounts budgeted for different items for the first year of a grant are shown below. The grant writer wants to increase all the amounts by 4% for Year 2, by 2.5% for Year 3, and by another 2% for Year 4. Complete the table to show the calculated amounts.
Given that the grant writer wants to increase all the amounts by 4% for Year 2, by 2.5% for Year 3, and by another 2% for Year 4, you can convert each percent to a decimal number by dividing them by 100:
\(4\text{ \%}=\frac{4}{100}=0.04\)\(2.5\text{ \%}=\frac{2.5}{100}=0.025\)\(2\text{ \%}=\frac{2}{100}=0.02\)• You know that in Year 1, the amount of money budgeted for Salaries and benefits is $115,000. Therefore:
- In Year 2 it will be (in dollars):
\(115,000+(115,000)(0.04)=119,600\)- In Year 3:
\(119,600+(119,600)(0.025)=122,590\)- In Year 4:
\(122,590+(0.02)(122,590)\approx125,042\)• Apply the same procedure for Insurances, knowing that, for Year 1 the budget is $14,500:
- In Year 2:
\(14,500+(14,500)(0.04)=15,080\)- In Year 3:
\(15,080+(15,080)(0.025)=15,457\)- In Year 4:
\(15,457+(0.02)(15,457)\approx15,766\)• For Resources and Supplies, you get:
- In Year 2:
\(5,500+(5,500)(0.04)=5720\)- In Year 3:
\(5,720+(5,720)(0.025)=5,863\)- In Year 4:
\(5,863+(0.02)(5,863)\approx5,980\)Hence, the answer is:
Two boats leave a port at the same time and travels five kilometer per hour on a bearing of 460 degrees the other travels at 9km/hr on a bearing of 127degrees how far are the apart
Step-by-step explanation:
460=100 degrees
therefore a 27 degree distance between speeds
a^2=b^2+c^2-2bc cos A
a^2=9^2+5^2-2(5)(9)cos 27
=45.8
a=6.77 km/h away
I think you wrote 460 wrong also you can't calculate distance if you don't have the time they have travelled for so I gave you a speed.
Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
$13.25
$14.68
$21.74
$25.69
Answer:
21.74
Step-by-step explanation:
Which expression is equivalent to (3x² + 4x-7)(x-2)?
A. (3x² + 4x-7)(x) + (3x² + 4x-7)(-2)
B. 2x(3x² + 4x-7)
OC. x(3x² + 4x-7) - 2
D. x(3x2 + 4x-7)+2(3x² + 4x-7)
Answer: A. (3x² + 4x-7)(x) + (3x² + 4x-7)(-2)
Step-by-step explanation:
The expressions are equivalent by the distributive property.
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in
descending powers of x.
(8x + 3)(4x + 7)
Answer:
32x^2+68x+21
Step-by-step explanation:
Answer:
32x^2+68x+21
Step-by-step explanation:
This is right just did this!!
Find the value of x. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
9. sin 18 = x/21
x = 21* sin 18
x = 6.5
10. tan 55 = 29/x
x* tan 55 = 29
x = 29/tan 55
x = 20.3
11. sin 23 = x/25
x = 25 * sin 23
x = 9.8
12. sin 47 = 33/x
x * sin 47 = 33
x = 33/sin 47
x = 45.1
Using only addition and multiplication, combine the single -digit numbers 1,2,3,4,5,6,7,8,9. So they total 100. the number must stay in the same order (Parentheses are not needed)
It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.
To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9
In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:
1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108
Unfortunately, the sum obtained from this expression is 108, not 100 as required.
It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.
Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.
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Select the sketch of the right rectangular prism with height of 2cm and bases that are 5 cm by 3 cm.
Answer: See image
Step-by-step explanation:
The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.
PLEASE HELP!!!
A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.
The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.
How do you find the ratio of the surface area of the larger cylinder to the the smaller cylinder?To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.
Given:
h1 = 15 inches
h2 = 20 inches
The ratio of the heights is:
h2 / h1 = 20 / 15 = 4 / 3
Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:
r2 / r1 = 4 / 3
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