You want to find t such that
45 - 7t - 6t² = 25
or
6t² + 7t = 20
Solve for t. By completing the square, we have
6t² + 7t = 20
t² + 7/6 t = 10/3
t² + 7/6 t + (7/12)² = 10/3 + (7/12)²
(t + 7/12)² = 529/144
t + 7/12 = ± 23/12
t = -7/12 ± 23/12
t = -5/2 or t = 4/3
We ignore the negative solution, so the ball reaches a height of 25 feet at t = 4/3 seconds, or about 1.33 seconds after being thrown.
Allison sells cosmetics door-to-door. She is paid a monthly commission which is 10% of her first $900 in sales and 15% of the rest of her sales. Last month she sold $8,000 worth of cosmetics. How
much commission did she earn last month?
Answer:
$1155
Step-by-step explanation:
10% of the first $900 is $90.
The rest of her sales is 8000 - 900 = 7100. 7100 * .15 = 1065.
Add them together to get $1155.
find the derivitive of f(x)=(x+9)/(x+1)
[tex]\dfrac{d}{dx} \left(\dfrac{x+9}{x+1}\right)\\\\\\=\dfrac{(x+1)\dfrac{d}{dx}(x+9) - (x+9) \dfrac{d}{dx}(x+1)}{(x+1)^2}\\\\\\=\dfrac{(x+1) - (x+9)}{(x+1)^2}\\\\\\=\dfrac{x+1-x-9}{(x+1)^2}\\\\\\=-\dfrac{8}{(x+1)^2}[/tex]
Find the measure of the indicated angle to the nearest degree
[tex]\cos \theta =\dfrac{18}{23}\\\\\implies \theta = \cos^{-1}\left(\dfrac{18}{23} \right)=38.5^{\circ} \approx 39^{\circ}[/tex]
George is building a rabbit run in his backyard he makes the length 2/7km and the width 1/5km draw a sketch of his rabbit run and then find the area
Here !
I hope this helps you a little ,
11. Write the equation of a line passing through the two points. First find the slope and the y-
intercept
(0,3) and (2,6)
Answer:
Y intercept is (0,3)
Step-by-step explanation:
Check out the image
In the diagram below of triangle K L M KLM, N N is the midpoint of K M ‾ KM and O O is the midpoint of L M ‾ LM . If m ∠ M L K = 3 x + 75 ∠MLK=3x+75, and m ∠ M O N = 93 − 3 x ∠MON=93−3x, what is the measure of ∠ M L K ∠MLK?
Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
Recall:
Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.
The diagram given, showing triangle KLM is in the image attached below.
m∠MLK and m∠MON are corresponding angles, therefore:
m∠MLK =m∠MON
Substitute3 x + 75 = 93 − 3 x
Solve for x3x + 3x = 93 - 75
6x = 18
x = 3
m∠MLK = 3 x + 75
Plug in the value of xm∠MLK = 3(3) + 75
m∠MLK = 84°
Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°
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Find the probability of selecting a 3 or 4 when a single die is rolled once
Answer:
1/3
Step-by-step explanation:
there are 6 sides to a die : 1, 2, 3, 4, 5, 6.
as one can interpret, 3 & 4 take up 2 parts of the 6 possible options
each result has equal oppurtunity to occur
so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified
The circle graph below represents the opinions of 100 students about their favorite sports. Each student chose exactly one of these four options: Basketball, Hockey, Football, and Other. The following statements are true about the graph:
The number of students who chose Basketball is three times the number of students who chose Other.
Ten more students chose Football than chose Hockey.
The percent of students who chose Basketball plus the percent of students who chose Football equal 65.
What percent of the students chose Basketball?
Answer:
Yo…what’s the graph?
Step-by-step explanation:
Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
If x represents the number of portraits that Ron sells at the mall, which of the
following expressions would represent Ron's profit (how much money Ron will walk
away with at the end of the day)? (There is more than one answer)
12. 25x – 22.00
15.50x – 22.00
0-22.00 + 15.50x – 3.25x
15.50x
3. 25x – 22.00
22.00x – 3.25x
15.50
Answer:
A and CStep-by-step explanation:
With the amount x of portraits the daily balance is:
- $22.00+ $15.50x- $3.25xThe total is:
15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00Correct choices are A and C
With the amount x of portraits the daily balance is:
- $22.00
+ $15.50x
- $3.25x
The total is:15.50x - 3.25x - 22.00 ⇒ 12.25x - 22.00
Correct choices are A and CCan someone explain how you do fractions like adding them? And what rules they have to find the answer?
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
What could be
a good option available to you if you are
behind on loan payments?
A good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
For a good financial management, the best decision to make profit or avoid loss is paramount.
The most difficult challenge faced today by loan companies is the non complaisance of the customers to pay back when the period given expires.
The best option that may be available for the loan manager must be a request for the customer to pay part of the loan and complete the payment in the next pay day.
Thus, a good option available to you as a financial expert is to request a part payment from the customer while the remaining part is to be made on the next pay day.
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Use the fundamental identities to
Find tan s if sin s=3/4 and s is in quadrant 2
Answer:
Cosine Formula
Thus, the cosine of angle α in a right triangle is equal to the adjacent side's length divided by the hypotenuse. To solve cos, simply enter the length of the adjacent and hypotenuse and solve.
0.081 to the nearest hundredth
Answer:
0.08
Step-by-step explanation:
a 1 in the thousandths place is dropped in standard rounding to the nearest hundredth.
Answer:
0.08
Step-by-step explanation:
In 0.081, 0 is the tenth, 8 is the hundredth, and 1 is the thousandth. So as you want to approximate to the nearest hundredth, you have to look at the number behind 8 which is 1. And, 1 is less than 5, so you don't have to round up.
A manager at a restaurant can buy hamburger buns in
packages of 8 and hamburger patties in packages of 6.
Suppose that the manager cannot buy part of a package.
What is the least number of packages of each product
he can buy to have an equal number of hamburger patties
and buns?
PLEASE INCLUDE MULTIPLES OF 8 AND 6 ALL THE WAY UNTIL YOU GET A NUMBER THAT IS THE SAME ON BOTH
Answer: 24
Step-by-step explanation
8-8-16-24-32-40
6-6-12-18-24-30-36
-1083 +(-3974) what is ans
Answer: -5057 if im wrong let me know
Answer:
-5057
Step-by-step explanation:
Simplify the expression:
-1083 + 3974
-1083 - 3974
-5057
How do I write 435 in expanded from
Answer : 400 + 30 + 5
Step - by - step explanation : To write something in expanded form means to write the number individually. " To see the math value of individual digits ".
4 --> Since it's in the hundreds place that means the number is 400 !
3 --> Since it's in the tenths place that means the number is 30 !
5 --> Since it's the first digit that means it stays as the number 5 !
Hope this helped ! <33
Take care happy holidays ! Contact me if you need more help on this ! ( If you want )
Help help math math
Answer:
1
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( -15 - -14) / ( -11 - (-10))
= (-15+14) /(-11 + 10)
= -1 / -1
= 1
Answer:
The answer is 1
Step-by-step explanation:
Solve for k.
k/4+ 3= 14
Answer:
k/4+3=14
First you need to isolate the variable.
multiply both sides by 4
are 1/2 and 2/4 proportional?
Answer:
yes they are proportional
I want a way to solve such a problem
Answer:
none of these is the answer
hope it helps you
Step-by-step explanation:
Hope it will help you...
I want a way to solve this question
Answer:
d
Step-by-step explanation:
Using the Cosine rule to find ∠ A
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]
= [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]
= [tex]\frac{5.21}{58.14}[/tex] , then
∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )
how can you isolate the term f/3
The bed of Jerry's pickup truck is 6 feet long. On
a scale model of the truck, the bed is 1/4 inch
What is the scale of the model?
6 ft
Answer:
1:4
Step-by-step explanation:
(1/4 in : 6 ft)
1/4 in : 6 (12 in)
1/4 in : 72 in
divide each side by 1/4
288/72 simplified is ...
1 : 4
20x9 and I need help I don’t do math so can u help me
Answer:
180
Step-by-step explanation:
So you can get rid of the zero in the 20 for now and just solve 2 x 9, which is 18. Now you take the zero you got rid of earlier and put it at the end of 18 to get 180.
I hope this helps.
Answer:
180
Step-by-step explanation:
There is two ways you can do this. You can do:
20
x 9
180
This is because you multiply from right to left. 0 x 9 = 0 (anything x 0 always = 0.) And 2 x 9 = 18.
The second way takes a lot longer, but it works. You could do:
20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 + 20 = 180.
Hope this helps.
help me out guys!!!!!!!
Answer:
[tex] \frac{5 \sqrt{11} }{11} [/tex]
you are correct !!
What is the scale factor k? The hummingbird nectar recipe is 4 cups of
water to every 1 cup of sugar. If I double the recipe, I will need 8 cups of
water and 2 cups of sugar. If I want half of the recipe, I would need 2 cups
of water and 1/2 cup of sugar. What is the scale factor of water to sugar?
k=
Answer:
2
Step-by-step explanation:
Scale factor of water to sugar=k
So,
k= amount of water/amount of sugar
=4 / 2
= 2 ANS
The school counselor needs to meet with students who have more than three absences. Here is some of the data about the students. Who are the individuals in this data set?
- Students
- School counselors
- Homeroom teachers
What does this data set contain?
- 2 variables, 1 of which is quantitative
- 2 variables, 2 of which are quantitative
- 5 variables, 1 of which is quantitative
- 5 variables, 3 of which are quantitative
Answer:
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
Step-by-step explanation:
Individuals are the people or things described by a data set.
Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables.
The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counselors.
One of the variables--absences--is quantitative.
The individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
What is a dataset?A data set is a set of information. A data set corresponds to one or more database tables in the case of tabular data.
Individuals are the people or things described by a data set.Variables are characteristics of the individuals that we measure or observe.
Categorical variables take on values that are labels or categories, and quantitative variables take on numerical variables. The individuals described by this data set are students.
The characteristics listed--homeroom teacher and absences--describe each of the students, not teachers or counsellors. One of the variables--absences--is quantitative.
Therefore the individuals in this data set are students. This data set contains 2 variables, 1 of which is quantitative.
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16,40 and 56 LCM
Solve this problem
Answer:
LCM = 2^4 x 5^1 x 7^1 = 560
Step-by-step explanation:
I hope this helps you !!I want a way to solve such a problem
Answer:
11.2
Step-by-step explanation:
Help meeeeeeeeeeeeedsddsss9
Answer:
2(x + 3) <9
Step-by-step explanation:
Two times the quantity of a number increased by 3 is less than 9
2 · (x + 3 ) < 9
= 2(x + 3) <9