Answer:
.16 or 4/25
Step-by-step explanation:
Answer:
4/25
Step-by-step explanation:
[tex]\frac{4}{5}[/tex]×[tex]\frac{1}{5}[/tex]
multiply tops together and denominators together and get [tex]\frac{4}{25}[/tex]
Wayne has a recipe on an index card with a length of 3 inches and a width of 5 inches. He wants to enlarge to 15 inches long. How wide will the enlargement be?
A 9 inches
B 13 inches
C 25 inches
D 45 inches
Answer:
a) 9 inches
is correct answer for you
Answer:
C, 25
Step-by-step explanation:
3 x 5 = 15
5 x 5 = 25
Karen is solving the quadratic equation shown below x2+12x-1=0 x2+12x-1+1=0+1
The solutions to the quadratic equation x² + 12x - 1 = 0 are given by:
[tex]x = -6 \pm \sqrt{37}[/tex]
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
The solutions are given as follows:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex][tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]In which:
[tex]\Delta = b^2 - 4ac[/tex]
For this problem, the equation is given by:
x² + 12x - 1 = 0.
The coefficients are:
a = 1, b = 12, c = -1.
Hence:
[tex]\Delta = 12^2 - 4(1)(-1) = 148[/tex][tex]x_1 = \frac{-12 + \sqrt{148}}{2}[/tex][tex]x_2 = \frac{-12 - \sqrt{148}}{2}[/tex]Since [tex]\sqrt{148} = 2\sqrt{37}[/tex], the solutions are given as follows, simplifying by 2:
[tex]x = -6 \pm \sqrt{37}[/tex]
More can be learned about quadratic equations at https://brainly.com/question/24737967
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3 x1/4 =
Please help me
Answer:
3/4
Step-by-step explanation:
please mark me as brainliest
Answer:
3/4
Step-by-step explanation:
You just multiply the whole number by the numerator.
2x (3x+20) find the value of X
Answer:
6x^2+40x
Step-by-step explanation:
2x(3x+20)
6x^2 +40x
That's your answer. you won't be able to find x
4.5÷6=
estimate the quotient
Answer:
0.75 - 0.8
Step-by-step explanation:
4.5/6 = 0.75
The closest number to round 0.75 to is 0.8
We are given the expression:
4.5 / 6
Simplifying the given expression:
We can rewrite 4.5 as 4/10:
[tex]\frac{45}{10}*\frac{1}{6}[/tex]
Since 45 and 6 have a common factor: 3
[tex]\frac{3*15}{10}*\frac{1}{3*2}[/tex]
The 3 in the numerator and the denominator will cancel out:
[tex]\frac{15}{10}* \frac{1}{2}[/tex]
We know that 15/2 is 7.5
[tex]\frac{7.5}{10}[/tex]
0.75
Hence, the quotient of the expression: 4.5/6 is 0.75
The angle of elevation from me to the top of a hill is 51 degrees. The angle of elevation from me to the top of a tree is 57 degrees. The tree stands 20 ft off the hill. How high is the top of the tree from the base of the hill?
Answer:
Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)
Step-by-step explanation:
Refer to the diagram attached.
Let [tex]\rm O[/tex] denote the observer.Let [tex]\rm A[/tex] denote the top of the tree.Let [tex]\rm R[/tex] denote the base of the tree.Let [tex]\rm B[/tex] denote the point where line [tex]\rm AR[/tex] (a vertical line) and the horizontal line going through [tex]\rm O[/tex] meets. [tex]\angle \rm B\hat{A}R = 90^\circ[/tex].Angles:
Angle of elevation of the base of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].Angle of elevation of the top of the tree as it appears to the observer: [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].
Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].
The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].
The length of segment [tex]\rm OB[/tex] could be represented in two ways:
In right triangle [tex]\rm \triangle OBR[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex].In right triangle [tex]\rm \triangle OBA[/tex] as the side adjacent to [tex]\angle \rm B\hat{O}A = 57^\circ[/tex].For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].
[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].
Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].
Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:
[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].
Equate the right-hand side of these two equations:
[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].
Solve for [tex]x[/tex]:
[tex]x \approx 81\; \rm ft[/tex].
Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].
Gary's pay is $15 per hour. He receives a 6% pay raise.
Which method can Gary use to correctly calculate his new hourly pay rate?
Choose Yes or No for each method.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The calculation can be done by any method that adds 6% of the original salary to the original salary. That's equivalent to multiplying the original salary by 1.06 or 106%. The attachment shows some possibilities.
Answer:
_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_+_
Step-by-step explanation:
The roof of the Westin Tower (officially called the Westin Peachtree Plaza Hotel) in Atlanta is located at a height of 723 ft. Assume a stone is dropped from this roof. (Note: Round numerical answers to two decimal places, if necessary.)
Required:
a. Find the distance of the stone above the ground at any time t (before it hits the ground).
b. How long does it take the stone to reach the ground?
c. With what velocity does it reach the ground?
Answer:
a) The stone takes approximately 6.704 second to reach the ground.
b) The stone takes approximately 6.704 second to reach the ground.
c) The stone hits the ground at a velocity of -215.695 meters per second.
Step-by-step explanation:
a) The stone experiments a free fall, which is a uniform accelerated motion due to gravity and in which effects from air friction and Earth's rotation are negliglble. Then, the vertical distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:
[tex]y = y_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g\cdot t^{2}[/tex] (1)
Where:
[tex]y_{o}[/tex] - Initial height of the stone, measured in meters.
[tex]v_{o}[/tex] - Initial velocity of the stone, measured in meters per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
If we know that [tex]y_{o} = 723\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the distance of the stone above the ground at any time [tex]t[/tex] is represented by the following model:
[tex]y = 723 -16.087\cdot t^{2}[/tex] (2)
b) If we know that [tex]y = 0[/tex], then the time taken by the stone to reach the ground is:
[tex]723-16.087\cdot t^{2} = 0[/tex]
[tex]t = \sqrt{\frac{723}{16.087} }\,s[/tex]
[tex]t \approx 6.704\,s[/tex]
The stone takes approximately 6.704 second to reach the ground.
c) The function velocity is found by differentiating (2) once:
[tex]v = -32.174\cdot t[/tex] (3)
If we know that [tex]t \approx 6.704\,s[/tex], then the velocity when it hits the ground is:
[tex]v = -32.174\cdot (6.704)[/tex]
[tex]v = -215.695\,\frac{m}{s}[/tex]
The stone hits the ground at a velocity of -215.695 meters per second.
Find the slope of the line that passes through (10, 8) and (9, 13)
Graph the line whose y-intercept is 2 and whose x-intercept is -5
Answer:
y=2/5x + 2
Step-by-step explanation:
find slope by using formula between these two points: (0,2) and (-5,0); then put into slope-intercept form (y=mx+b)
is 6(4j - 6) and 24 - 36j equivalent
Answer:
no because its supposed to be 24j-36
Step-by-step explanation:
so basically im trying to say is that they did the problem wrong.
Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements. Since angle G is angle, the opposite side, JH, is . The order of the side lengths from longest to shortest is .
Answer:
Since angle G is
✔ the largest
angle, the opposite side, JH, is
✔ the longest side
. The order of the side lengths from longest to shortest is
✔ HJ, GH, and GJ
.
Step-by-step explanation:
Answer: the answers are
-the largest
-the longest side
-HJ, GH, and GJ
Step-by-step explanation: put them in edge 2020, got them right Hope this helps :)
18
Write an equation in POINT-SLOPE FORM for the line that has a slope of
1
5
and passes through (1,-2).
with situation is an example of work
answers:a person holding several tools,
a person sitting a parked car,
a person hitting a pitched basketball.
holdig several tools because he do someting or she :
I think is a person
Step-by-step explanation:
9. 16 is 40% of what number? If necessary, round to the nearest tenth. A 40.0 B 0.4 C 640.0 D 6.4
Answer:
A
Step-by-step explanation:
16 x 100 = 1600
1600 / 40 = 40.0
Answer:
A. 40.0
Step-by-step explanation:
In 1863, President Abraham Lincoln gave his famous Gettysburg Address. It starts, “Four score and seven years ago....” Four score and seven is equal to 87. How many years are in a score? What year was President Lincoln referring to?
Answer: There are 20 years in a score. The year he is talking about is 1776
Step-by-step explanation:
A 500 yard train travels at a constant speed. A motorcyclist rides at a constant speed on the highway parallel to the train tracks. The motorcyclist starts at the rear of the train and drives to the very front of the train, and then falls back to the rear of the train. As the motorcycle completes this cycle, the train travels 1200 yards. How far did the motorcyclist travel?
Answer:
120/2 = x/5....120 miles to 2 hrs = x miles to 5 hrs
cross multiply
(2)(x) = (120)(5)
2x = 600
x = 600/2
x = 300....the motorcyclist would travel 300 miles in 5 hrs
or u could do it this way..
120/2 = 60 miles per hr
60 * 5 = 300 miles
Step-by-step explanation:
A sample of bacteria is growing at a continuously compounding rate. The sample triples in 10 days.
Find the formula for the daily rate. Type your answer as a fraction.
Answer:
r=ln3/10
Step-by-step explanation:
The daily rate is given by 3 to the power x divided by 10.
We have given that a sample of bacteria is growing at a continuously compounding rate.
The sample triples in 10 days.
What is the formula for the daily rate?The daily rate of the bacteria growth is. exponential growth is in the form
y = abˣ
where y, x are variables.
a is the initial value
Sample triples, in 10 days. therefore the value of b=3.
Therefore we get,
[tex]y=3a^{\frac{x}{10}[/tex]
[tex]y=a3^{\frac{x}{10}[/tex]
Therefore the daily rate is given by [tex]3^{\frac{x}{10}[/tex].
To learn more about the daily rates visit:
https://brainly.com/question/25793394
Which set of numbers represents a Pythagorean triple?
Answer:
52 , 165 , 173 is Pythagorean triple.
Step-by-step explanation:
Pythagorean triple;
a² + b² = c²
Computation:
88² + 105² ≠ 139²
39² + 80² ≠ 119²
38² + 198² ≠ 202²
52² + 165² = 173²
So,
52 , 165 , 173 is Pythagorean triple.
Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during and are as follows: Season: 75 79 80 78 76 74 76 78 Season: 72 71 76 78 86 81 72 80 a. Calculate the mean (to the nearest whole number) and the standard deviation (to decimals) of the golfer's scores, for both years. Mean 77 Standard deviation 2.07 Mean 77 Standard deviation 5.26 b. What is the primary difference in performance between and
Answer:
Explained below.
Step-by-step explanation:
The scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida are,
Season 1: {75, 79, 80, 78, 76, 74, 76, 78}
Season 2: {72, 71, 76, 78, 86, 81, 72, 80}
(a)
Compute the mean and standard deviation of the golfer's scores as follows:
Season 1:
[tex]\bar x_{1}=\frac{1}{n_{1}}\sum x_{1}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{1}=\sqrt{\frac{1}{n-1}\sum(x_{1}-\bar x_{1})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 30}\\\\=2.0702\\\\\approx 2.07[/tex]
Season 2:
[tex]\bar x_{2}=\frac{1}{n_{2}}\sum x_{2}\\\\=\frac{1}{8}\times 616\\\\=77[/tex]
[tex]s_{2}=\sqrt{\frac{1}{n_{2}-1}\sum(x_{2}-\bar x_{2})^{2}}\\\\=\sqrt{\frac{1}{8-1}\times 194}\\\\=5.26444\\\\\approx 5.26[/tex]
(b)
The primary difference in performance between the two seasons is:
[tex]\text{Diff} = \bar x_{2}-\bar x_{1}\\\\=5.26-2.07\\\\=3.19[/tex]
Which of the following is equivalent to the expression 1/2x+4x-1/2x+60?
Answer:
4(x + 15)
Step-by-step explanation:
1/2x - 1/2x = 0
You're then left with 4x + 60
Factor out the 4 and you get 4(x + 15)
Answer: ITS C.
Step-by-step explanation: It’s not B I took the test and put C and got it right
help please I'm lost
Answer:
translation
W(-10, 0)
X(-10, -8)
Y(-18, -4)
Z(-14, 8)
dilation
W(-8, 16)
X(-8, 0)
Y(-24, 8)
Z(-16, 32)
Step-by-step explanation:
In translation, all you are doing is taking each point and subtracting 6 from the x, and subtracting 8 from the y. The point of W is (-4, 8). Thus you do (-4 - 6 , 8-8) and you get the new point (-10,0). Repeat this for all the others.
In dilation you are multiply both x and y by 2. For point W you do (-4*2, 8*2) to get the new point (-8, 16). You repeat this for the remaining points.
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find the measure of the line segment TR
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Answer:
24
Step-by-step explanation:
The product of lengths from the point where the secants meet to the near and far circle intersection points is the same for both secants.
RQ·RC = RS·RT
8(27) = (3x)(8x)
9 = x^2 . . . . . . . . . divide by 24
3 = x
Then the length of interest is ...
TR = 8x = 8·3
TR = 24
30% of the presents under the
tree were for Tammy. If there
were 20 presents under the
tree, how many presents did
Tammy get?
Answer:
6
Step-by-step explanation:
A snail takes 24 min to travel 5 ft. At this rate, how many inches does the snail travel every hour?
Answer:
150 in
Step-by-step explanation:
whats y'alls answer streak, mine is 10. Highest gets brainiest!
Answer:
20 :3
Step-by-step explanation:
Answer:
lol currently I'm at 14, good job! I hope you have a good day, stay safe, and Happy holidays!
Step-by-step explanation:
Rewrite 105,000 in scientific notation.
Answer options are in pic below
Answer:
the answer is the third option (C)
Pls help. Take a pic of your work on paper thanks.
Answers:
1.) -x - 5
2.) 11x^2 + 5x
3.) 13x + 2y +3y^2
4.) -12x - 2
5.) -24
Sorry, it won’t somehow let me attach a picture of my work on paper :(
But hopefully this helps! :)
Answer:
2) Seems like 11x² +9x , 6) seems like 42
Step-by-step explanation:
Group the ones with the same variables :
3x²t8x²-2x+7x
Then add or subtract the ones with same variables from the left :
3x²+8x²=11x²
2x+7x = 9x
therefore; 11x²-9x
NEED HELP WITH THIS PLEASE
Answer:
-25 + 75 = 50
Step-by-step explanation:
Since we don't know the value of the bar, we will call it x.
-25 + x = 50
Add 25 to both sides to find the value of x.
x = 75
You can also double check this answer by doing simple math.
-25 + 75 = 50
Plzz help me thank you
Answer:
A
Step-by-step explanation: