Answer:
385 cards
Step-by-step explanation:
First, find 40% and 25% of 1100.
2/5 * 1100
2200/5 = 440 cards dated before 1970
1/4 * 1100
1100/4 = 275 cards dated between 1970 and 2000
Then add the two amounts together.
440 + 275 = 715 cards between pre-1970 and 2000
After that, subtract your new sum from 1100.
1100 - 715 = 385 cards after 2000
(Or to make it easier, just find 35% of 1100.)
Find the equation of line that passes through the points (2.0) and (4.6). Write the equation in slope-intercept form
Answer:
y = 3x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
During a round of golf, Tim's score on hole eights is -7. After hole eighteen, Tim's score increases by 18. What is Tim's score after whole eighteen? show your work
Answer:
man went from 7 under to 11 over. tuff. its 11
Step-by-step explanation:
A line passes through the point (10,-7) and has a slope of 1/2
Write an equation in slope-intercept for this line
Answer:
1/2x -12
Step-by-step explanation:
y- -7 = 1/2 (x-10)
y + 7 = 1/2x - 5
-7 -7
y= 1/2x -12
f(x)=5(1+0.25)^x,f(4)
Please show step by step of how you got the answer
Answer:
f(4) = 12.2
Step-by-step explanation:
we are given that x = 4, plug in 4 into the equation
f(4) = 5(1+0.25)^(4)
f(4) = 5(1.25)^(4)
raise 1.25 to the 4th, which is equal to 2.44
f(4) = 5(2.44)
f(4) = 12.2
Answer:
12.20703125
Step-by-step explanation:
NEED HELP ASAP!!! 50 pts (Algebra 2, Systems of Equations)
The Smith family is trying to decide what theme park to visit on their vacation. Family Fun Land costs $12 per person and $40 for parking. Blue Jay Bay costs $22 per person and $12 for parking. Explain their different options depending on how many people go.
Answer: For groups with over 3 people, Family Fun Land is the best option. It's cheapest for groups of 1 or 2 to go to Blue Jay Bay.
Step-by-step explanation:
Family Fun Land | y = total $, x = # of people
y = 12x + 40
Blue Jay Bay
y = 22x + 12
2 People
y = 12(2) + 40
y = 64
y = 22(2) + 12
y = 56
3 People
y = 12(3) + 40
y = 76
y = 22(3) + 12
y = 78
Prove that:
(A cos x + B sin x)^2 - (B cos x + A sin x)^2 = (A^2 - B^2) (cos^2x - sin^2x)
Answer:
see explanation
Step-by-step explanation:
Consider the left side
(Acosx + Bsinx)² - (Bcosx + Asinx)² ← expand factors using FOIL
= A²cos²x + 2ABsinxcosx + B²sin²x - (B²cos²x + 2ABsinxcosx + A²sin²x)
= A²cos²x + 2ABsinxcosx + B²sin²x - B²cos²x - 2ABsinxcosx - A²sin²x
= A²cos²x - Bcos²x + B²sin²x - A²sin²x ← factor first/second and third/fourth terms
= cos²x(A² - B²) - sin²x(A² - B²) ← factor out (A² - B²) from each term
= (A² - B²)(cos²x - sin²x)
= right side ⇒ proven
Determine the slope of
the line that passes
through (2,5) and (3, 7).
Answer:
1/2
Step-by-step explanation:
2.010010001
is this rational or irrational?
Answer:
It is irrational
Step-by-step explanation:
is a non-terminating & non-recurring decimal
Need help with this ASAP and all you have to do is match the siblings with the options and the options are group a, group b, and group c. Please
Answer: oldest sibling is B, middle sibling is C, youngest sibing is A
Solve 4 - x= -8.
Correct answer please
Answer:
12!
Step-by-step explanation:
Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)
Answer:
X = 12Step-by-step explanation:
4 - x = -8
or. -x = -8 - 4
or. -x = -12
or. x = 12
please help me with y-intercept and slope
13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.
Write an equation that models the total profit for the business below.
Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.
x | f(x)
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _
Answer:
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]
So, we get slope [tex]m=\frac{3}{4}[/tex]
Now, finding y-intercept
Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept
[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]
The y-intercept is [tex]b=\frac{-29}{4}[/tex]
So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:
[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
treating prostate disease a large study used records from canada’s national health care system to compare the effectiveness of two ways to treat prostate disease. the two treatments are traditional surgery and a new method that does not require surgery. the records described many patients whose doctors had chosen each method. the study found that patients treated by the new method were sig- nificantly more likely to die within 8 years.38
The cost and the patient's condition are other factors. For instance, a doctor might decide against suggesting surgery if a patient has very bad health because of the potential for additional difficulties. Then, we won't be able to tell if a higher death rate is a result of the therapy or the participants' pre-existing health.
What distinguishes surgical treatment from medicinal treatment? What distinguishes surgical procedures from nonsurgical ones?What Kinds of Practices Are Not Surgical?Any condition that necessitates a localised treatment, such as surgery or one of the many vascular procedures or radiation methods, is referred to as a surgical disease. A more comprehensive, pharmacological strategy to treat a medical issue is required.
"Non-surgical" treatments are also referred to as "non-invasive" procedures in the cosmetic industry. These techniques don't need cutting the skin or inserting tools into the body, in contrast to "invasive" surgical therapies.
To learn more about Surgical treatment visit:
https://brainly.com/question/14509283
#SPJ4
2 3/4 devided by 1/6
Step-by-step explanation:
16.5
I'm pretty sure that this is the correct answer.
Find the value of c that completes the square for the function f(x)= x2 + 4x + C.
Your answer:
- 4
4
16
81/
4
Answer:
[tex] = - 4 \times 2 + 4 \times ( - 4) + c \\ = - 8 - 16 + c \\ = 24 + c \\ \frac{ - c}{ - 1} = \frac{24}{ - 1} \\ c = - 24[/tex]
write a system of linear equations in which (3,-5) is a solution of equation 1 but not a solution of equation 2 and (-1,7) is a solution of the system
Answer:
Examine this system of linear equations.
y – 3x = –2,
y = 4
Which is a solution of the system of equations?
(0, 4)
(2, 2)
(2, 4)=this is the correct answer
(4, 2)
Step-by-step explanation:
thats the answer
(2,4)
Ms Lucas has 9 cases of crayon with 52 boxes in each case Ms Bruns has 6 cases of crayon with a 104 in each case How many boxes of crayons do both teachers have? Use RDW strategy to solve.Write your answer as a statement.
Answer:
1092
Step-by-step explanation:
Step one:
given data
Ms Lucas has 9 cases of crayon with 52 boxes in each case
total crayon is
9*52= 468
Ms Bruns has 6 cases of crayon with a 104 in each case
total crayon is
6*104= 624
The total crayon is
468+624= 1092
A customer purchased a total of 10 hats and scarves. Each hat cost $4.50 and each scarf cost $3.00. The customer spent $36.00 all together.
How many hats did the customer buy?
Enter your answer in the box.
Answer:
The customer bought 4 hats, and 6 scarves.
Step-by-step explanation:
$4.50x4 = $18
$3.00x6 = $18
$18 + $18 = $36!
Please mark "Brainliest"!?
- Pricespidey
Solve for X the mini box in the corner is 90 degree angle
Which expression represents each mathematical phrase?
Drag the answer into the box to match each phrase.
(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number
(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x
Answer:
(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7
four and seventy-two thousandths
Answer:
4.072
Step-by-step explanation:
Answer:
72,004Step-by-step explanation:
Brainliest? Thanks!
A cylinder shaped container is used to hold watef . This cylinder has a height of 12 inches and a diameter of 7 inches . A spherical ball with a diameter of 6 inches is dropped into the container . Explain how the ball changes the volhme of the water the container can hold and calculate the amount of water the cylinder can hold after the ball is dropped into the cylinder . Let pi = 3.14
Answer:
423.9 inches³
Step-by-step explanation:
First we will calculate the volume of the cylinder using the formula
Vc = hπr²
Vc = 12π(3.5)² [radius is 1/2 diameter]
Vc = 147π
Next we calculate the volume of the sphere using 4/3*πr³
Vs = 4/3 πr³
Vs = 4/3π3³
Vs = 12π
Finally, we subtract the volume of the cylinder by the volume of the sphere to get the remaining volume in the cylinder that can be filled with water.
147π - 12π = 135π
Using the approximate 3.14, the answer is 423.9 inches³
Given that f(x) = x2 + 5x + 6 and g(x) = x + 2, find (fºg)(x) and
express the result in standard form.
US
Answer:
[tex](f\circ g)(x)=x^2+9x+20[/tex]
Step-by-step explanation:
We have the two functions:
[tex]f(x)=x^2+5x+6\text{ and } g(x)=x+2[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex](f\circ g)(x)=f(g(x))[/tex]
Therefore, we will have:
[tex]f(x+2)[/tex]
By substitution:
[tex]f(x+2)=(x+2)^2+5(x+2)+6[/tex]
Simplify. Square and distribute:
[tex]f(x+2)=(x^2+4x+4)+(5x+10)+6[/tex]
Rearrange:
[tex]f(x+2)=(x^2)+(4x+5x)+(4+10+6)[/tex]
Combine like terms:
[tex]f(x+2)=(f\circ g)(x)=x^2+9x+20[/tex]
Marsha Lynch opened a savings account on January 1st with a lump sum $625.00 deposit. Interest is compounded on a quarterly basis at a rate of 5.7%. What is her balance at the end of 2 years?
Answer:
698.28
Step-by-step explanation:
answer correctly please take ur time and i will give you brainliest
Answer:
15
Step-by-step explanation:45-30 OVER 3-2= 15
QUESTION 4
1/2x + 5= 10
What's x?
Answer:
10
Step-by-step explanation:
—Math½ x + 5 = 10
½ x = 10 – 5
x = 5 x 2
x = 10
follow my account ^^
Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.
Two sides have the same length, which is less than the length of the third side.
The three sides have the same length.
The sum of the lengths of two sides is equal to the length of the third side.
Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:
A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert €24 to pounds.
Answer:
18 pounds
Step-by-step explanation:
assuming a 3:4 rate
24 Euros is
24/4 * 3 = 18 pounds
The solution is £ 18
The value of €24 in pounds is 18 pounds or £ 18
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the value of £3 be = €4
So , the equation will be
The value of €1 = £ ( 3/4 )
So , the value of €24 is calculated by the equation
The value of €24 in pounds = value of €1 x 24
Substituting the values in the equation , we get
The value of €24 in pounds = £ ( 3/4 ) x 24
The value of €24 in pounds = £ 3 x 6
The value of €24 in pounds = £ 18
Therefore , the value of €24 in pounds is £ 18
Hence , The value of €24 in pounds is 18 pounds or £ 18
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
How do you know if you have to divide or multiply in a ratio problem?
Answer: you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. … Ratios can be scaled up or down by multiplying both parts of the ratio … the ratio by the largest number that they can both be divided by
Step-by-step explanation:
you looking for ways to calculate ratio problems quickly and accurately? Learn the best methods here, with useful diagrams – and find out what to avoid too. ... Ratios can be scaled up or down by multiplying both parts of the ratio ... the ratio by the largest number that they can both be divided by[tex]did this help[/tex]Shane has a piece of fabric that is 4 1/3 yards long. He plans to cut the fabric into 3 pieces, each measuring 3/5 of a yard. What is the length of fabric left over after Shane cuts the 3 pieces.
Answer:
Is it 2 and 8/15 for the answer?
Step-by-step explanation:
3/5 times 3/1 = 9/5 = 1 4/5, then 4 1/3 - 1 4/5= 2 8/15