a telephone pole needs a wire attached to its top and anchored to the ground at a point that is 56 feet less than the height of the pole. if the wire is to be 16 feet longer than the height of the pole what is the height of the pole
What would a frog do if he could not find scissors to cut a coupon out of the newspaper?
What percent of 18 is 36
Ned took a test with 25 questions. He lost 4 points for each of the 6 questions he got wrong and earned an additional 10 points for answering a bonus question correctly. How many points did Ned recieve or lose overall?
A basket of laundry is being separated. Divide 48 pieces into 2 clothing groups so the ratio is 1 to 3
A reasonable APR to pay for a 3-year automobile loan is
The yard behind the Cindy’s house is rectangular in shape
and has a perimeter of 72 feet. If the length of the yard
is 18 feet longer than the width w of the yard, what is the
area of the yard, in square feet?
Which of the following is a function equivalent to f(x) = 4(1.8)2x?
f(x) = 4(3.24)x
f(x) = 4(3.24x)
f(x) = 12.96x
f(x) = 51.84x
Answer:
A: f(x) = 4(3.24)x
(you forgot to put the "^" symbol before the X to show it is rising to "2x",, AKA an exponent, but that's ok <3
Step-by-step explanation:
Please do not listen to the other answer! It is wrong and i will show you why.
First we need to take a look at the exponent and the number in parentheses. If anyone remembers, we need to use the distributive property to distribute the '2' in the exponent '2x' to the number(s) inside the parentheses.
So you would go: 1.8 x 2 = 3.24
You would then put the 3.24 in the place of the 1.8 to give you:
f(x) = 4(3.24)^x
Now, you may ask, 'biscuit, why do we keep the exponent 'x'? shouldn't we put it inside the parentheses?',, and to that i say no! We only used the 2 from the exponent, so the x stays in it's place.
You also might ask 'biscuit, why don't we go a step further and multiply the 4 by the 3.24?',, and to that I also say no! Remember, the question asked us to find a function equivalent to our original equation, not solve the whole equation <3
If you have any questions please don't hesitate to ask!
-Biscuit08
How many unique triangles can be made when one angle measures 90° and another angle is half that measure?
Marcus mixes 5 parts white paint with 2 parts red paint to make pink. Suppose he adds one part of each. What is the new ratio of red to white?
Final answer:
In genetics, crossbreeding a white-eyed male fruit fly with a heterozygous red-eyed female typically results in a 1:1 ratio of red-eyed to white-eyed offspring if eye color is an X-linked trait and red is dominant over white.
Explanation:
The question pertains to genetics, specifically the inheritance patterns of eye color in fruit flies (Drosophila melanogaster), which is a classic example in the field of genetics. When crossing a white-eyed male (mutant allele) with a female that is heterozygous for red eye color (one red allele and one white allele), the offspring will have a 1:1 ratio of red-eyed to white-eyed if eye color is an X-linked trait. This is because the male passes on his Y chromosome without the eye color allele to half the offspring, and his X chromosome with the white eye color allele to the other half. The female passes on one of her X chromosomes to all the offspring—half of these will carry the red allele and the other half will carry the white allele.
If the trait follows simple Mendelian inheritance, assuming red eye color is dominant over white, the offspring ratio will be 50% red-eyed (having one red allele from the mother and one white allele from the father), and 50% white-eyed (having one white allele from the mother and one from the father).
it's 3 to 6 your welcome have a nice day :>
use mental math to solve the equation z/-12 = -5
I really need help with this question!
You decide to treat yourself to some of your favorite cookies. The box that you bought has 24 cookies. You eat 2 cookies each day as a snack. Which equation shows the number of cookies that you have left at the end of each day?
Answer:
-2X+24
Step-by-step explanation:
Answer:
[tex]y=-2x+24[/tex]
Step-by-step explanation:
Let
x------> the number of days
y----->the number of cookies which are left at the end of each day
we know that
[tex]y=-2x+24[/tex]
verify
For [tex]x=0\ days[/tex]
[tex]y=-2(0)+24=24\ cookies[/tex] -----> original amount of cookies
For [tex]x=1\ days[/tex]
[tex]y=-2(1)+24=22\ cookies[/tex]
For [tex]x=12\ days[/tex]
[tex]y=-2(12)+24=0\ cookies[/tex]
Using the first derivative test, find all relative extrema for f(x) g
Nora took 8 bottles of water to a picnic. Of those bottles of water, she and her friends opened a certain number of bottles. b. What expression can be used to determine the number of unopened bottles at the end of the picnic?
A .8 + b
B. b + 8
C 8 - b
D. b - 8
Illinois State tax is 4.98%. How much did Brody pay for a post card that cost $1.19?
• capital one is advertising a 60-month, 5.99% apr motorcycle loan. if you need to borrow $8000 to purchase your dream harley davidson, what will your monthly payment be?
Answer:
The monthly payment is $ 154.29
Step-by-step explanation:
Given : time period = 60 months
Annual interest rate = 5.99%
Amount to be borrowed = $8000
We have to calculate the monthly payment.
We know ,
[tex]P=\dfrac{A\cdot \frac{i}{12}}{1-(1+\frac{i}{12})^{-n}}[/tex]
We have,
interest rate = 5.99% = 0.0599
Amount = $8000
time period = 60 months
P is monthly payment.
[tex]P=\dfrac{8000\left(\frac{0.059}{12}\right)}{1-\left(1+\frac{0.059}{12}\right)^{\left(-60\right)}}[/tex]
Simplify, we get,
P = 154.29
Thus, the monthly payment is $ 154.29
Boel decided to plant rose bushes in her garden. She has 24 bushes she places 6 bushes in each row. How many rows of rose bushes does she plant in her garden
Answer:
she can plant 4 rows of bushes
Step-by-step explanation:
6 x _ = 24 (4) or 24 divided by 6 = 4
How to find two fractions between 3/5 and 4/5
What is 0.306 in word form?
Answer:
Three hundred six thousandths.
Step-by-step explanation:
We are asked to write 0.306 in word form.
We can see that our given number has 3 tenths, 0 hundredths and 6 thousandths.
To convert our given number in word form, we will write the number of thousandths in 0.306.
The number of thousandths for our given number are three hundred six thousandths, therefore, our number is three hundred six thousandths.
A Sum of $14 is made of 92 coins consisting of dimes and quarters. How Many are there of each kind of coin
There are 60 dimes and 32 quarters.
Given that a sum of $ 14 is made of 92 coins consisting of dimes and quarters, to determine how many are there of each kind of coin, the following calculation must be performed:
0.10 x 92 + 0.25 x 0 = 9.20 0.10 x 72 + 0.25 x 20 = 12.20 0.10 x 52 + 0.25 x 40 = 15.20 0.10 x 62 + 0.25 x 30 = 13.70 0.10 x 60 + 0.25 x 32 = 14
Therefore, there are 60 dimes and 32 quarters.
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write division problem that will have a 2-digit quotient and another division problem that will have a 3-digit quotient. Explain how you chose the divisor and dividends.
translate to an algebraic expression 49 more than t
Suppose sarah is trying to design a metal box (a rectangular prism), which will hold 450 cubic centimeters of liquid. the length of the box must be 2 times as large as the width. define a function j j that gives the height of the metal box, h h, measured in centimeters in terms of the width of the metal box, w w, measured in centimeters.
The owner of a candy store wants to mix some peanuts worth $3 per pound, some cashews worth $10 per pound, and some Brazil nuts worth $9 per pound to get 50 pounds of a mixture that will sell for $6.80 per pound. She uses 10 fewer pounds of cashews than peanuts. How many pounds of each did she use?
what is the graph of the equation 4x-5y=15
The correct answer I think is
Trigonometric area formula: Area = 1/2 ab sin(c)
What is the area of triangle DEF? Round to the nearest tenth of a square unit.
10.3 square units
18.0 square units
20.0 square units
20.6 square units
Answer:
1. 10.3 square units.
Step-by-step explanation:
The general formula for area of triangle is [tex]\frac{1}{2}(\text{ Base}\times\text{ Height}})[/tex]. We can also find area of a triangle using trigonometric area formula.
[tex]Area=\frac{1}{2} ab\text{ sin}(c)[/tex], where a represents length of base and height of triangle is represented by [tex]b\text { sin}(c)[/tex].
We have been given two angle measures but we can only use sine of included angle whose two side lengths are given. In our triangle the angle that measures 31 degrees in included angle of sides EF and DF.
Now let us substitute our given values in the above formula.
[tex]Area=\frac{1}{2}\times 8\times 5\text{ sin}(31)[/tex]
[tex]Area=\frac{1}{2}\times 8\times 5\times 0.51503807491[/tex]
[tex]Area=4\times 5 \times 0.51503807491[/tex]
[tex]Area=20 \times 0.51503807491[/tex]
[tex]Area=10.3007614982\approx 10.3[/tex]
Therefore, the area of triangle DEF is 10.3 square units and 1st option is the correct choice.
Answer:
10.3= the awnser
Step-by-step explanation:
just took test and got it right.
how do u find the initial value on a graph
Simplify the following expression. (3 + 8 x ) + 7 x
3 + 15
x 18
x 18 + x
11 x + 7
The simplified expression of 4 +9 "/" 3 "/" 2 x 3 + (3 + 1) x 4 is 17, following the order of operations or PEMDAS.
To simplify the given expression, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
The original expression is 4 +9 / 3 / 2 x 3 + (3 + 1) x 4. First, address operations inside parentheses: (3+1) equals 4. The expression becomes 4 +9 / 3 / 2 x 3 + 4 x 4.
Next, handle the multiplication and division from left to right: 9 / 3 equals 3, and 2 x 3 equals 6. Then, 4 x 4 equals 16. This turns our expression into 4 + 3 - 6 + 16.
Finally, perform addition and subtraction from left to right: 4 + 3 equals 7, 7 - 6 equals 1, and 1 + 16 equals 17. Therefore, the simplified expression is 17.
Which of these r-values represents the weakest correlation?
A. –0.75
B. –0.15
C. –0.55
D. –0.35
Answer: B. -0.15
Step-by-step explanation: It is the farthest from -1 so it would be -0.15.
The correct r - value which represents the weakest correlation is, - 0.15.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, Apply the absolute value to each number.
In other words, remove the negative sign to determine the positive version of that number.
-0.75 turns into 0.75
-0.15 turns into 0.15
-0.55 turns into 0.55
-0.35 turns into 0.35
Here, The smallest result is 0.15, which is closest to 0.
Thus, The closer r is to 0, the weaker the correlation.
Hence, The correct r - value which represents the weakest correlation is, - 0.15.
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