Answer:
I think it's number two
Answer:
A, first one
Step-by-step explanation:
BRAINLIEST for anyone who gets this correct! Factor the expression below.
16x^2 + 40x+ 25
A. (2x+5)(8x+5)
В. (4х+5)(8х+3)
C. (4x - 5)(4x-5)
D. (2x - 5)(8x-5)
(4x+5)2
Expand the polynomial using the FOIL method.
16x^2−40x+25
c(4x - 5)(4x-5)
I have f(x)=x^2+x+5. Then (f(x)-f(a))/(x-a).
Answer:
(f(x) -f(a))/(x -a) = x +a +1
Step-by-step explanation:
(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)
= ((x -a)(x +a) +(x -a))/(x -a) = x +a +1
(f(x) -f(a))/(x -a) = x +a +1
What is the image of (1,0) after a counterclockwise rotation of 60 degrees?
Answer:
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Step-by-step explanation:
The coordinate has the following polar form:
[tex]\vec r = (1, 0^{\circ})[/tex]
The image of the coordinate rotated counterclockwise 60° is:
[tex]\vec s = (1, 60^{\circ})[/tex]
Its equivalent form in rectangular coordinates is:
[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
if Logan(3)=5, what is the value of a^5?
Answer:
[tex]a^5=3[/tex]
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
[tex]\log_b{(x)}=a\ \leftrightarrow\ b^a=x[/tex]
Here, it means ...
[tex]\boxed{a^5=3}[/tex]
Answer:
[tex] \huge \purple { \boxed{{a}^{5} = 3}}[/tex]
Step-by-step explanation:
[tex] log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}[/tex]
The angle 01 is located in Quadrant II, and sin(01) =
9/41
What is the value of cos(01)?
Express your answer exactly.
cos(01) =
Answer:
-40/41
Step-by-step explanation:
Since we know 'cos' involves the Adjacent and Hypoteneus sides, we will need to solve for the 'Adjacent' side of the triangle using the Hypoteneus Theorem.
41² = 9² + a²
a = 40.
However, this is in quadrant II, so when finding the 'cos' value, this side is -40.
Cosine is A/H, giving is:
cos(01) = -40/41
Temperature (x) 65 70 75 80 85 90 95 100 105
Number of ice cream cones sold per hour (y) 8 10 11 13 12 16 19 22 23
Note: Critical Value for n = 9 is 0.666
Calculate the linear correlation coefficient r, for temperature (x) and the number of ice cream cones sold per hour (y). (round to 3 decimal place)
Is there a linear relation between the two variables x, and y? Why? If yes, indicate if the relationship is positive or negative. (Hint: Compare the absolute value of r and critical value)
Construct the least-squares regression line for temperature (x) and the number of ice cream cones sold per hour (y) and interpret its slope. (round to 3 decimal place)
Predict the number of ice cream cones sold per hour when the temperature is 80 and calculate the residual for x = 80º. (round to nearest whole number)
Would it be reasonable to use the least-squares regression line to predict the number of ice cream cones sold when it is 50 degrees? Explain your answer.
Answer:
Step-by-step explanation:
Hello!
You have to calculate the linear correlation coefficient (r) between the variables
X₁: temperature
X₂: Number of ice cream cones sold per hour.
The formula to calculate the coefficient of linear correlation between the two variables is the following:
[tex]r= \frac{sumX_1X_2-\frac{(sumX_1)(sumX_2)}{n} }{\sqrt{[sumX_1^2-\frac{(sumX_1)^2}{n} ][sumX_2^2\frac{(sumX_2)^2}{n} ]} }[/tex]
∑X₁= 765; ∑X₁²= 66525 ∑X₂= 134 ∑X₂²= 2228 ∑X₁X₂= 11965 n=9
[tex]r= \frac{11965-\frac{765*134}{9} }{\sqrt{[66525-\frac{(765)^2}{9} ][2228-\frac{(134)^2}{9} ]} }[/tex]
r= 0.97
To test if there is a positive linear association between both variables the statistical hypotheses are:
H₀: ρ ≤ 0
H₁: ρ > 0
critical value 0.666
r= 0.97
The decision is to reject the null hypothesis, there is a positive linear correlation between the temperature and the number of ice cream cones sold per hour.
The regression line is
^Y= a + bX
where
a: represents the estimation of the y-intercept
b: represents the estimation of the slope
[tex]b= \frac{sumXY-\frac{sumXsumY}{n} }{sumX^2-\frac{(sumX)^2}{n} }[/tex]
b= 0.38
a= Y[bar]-bX[bar]
a= -17.69
The estimated regression line for the number of ice cream cones and the temperature is ^Y= -17.69 + 0.38Xi
To estimate the number of ice cream cones sold when the temperature is 80º you have to replace the value of X in the estimated regression line:
^Y= -17.69 + 0.38*80= 12.71
It is expected that they will sell 12.71 ≅ 13 ice cream cones when the temperature is 80º
You can use the estimation of the regression line to predict values within the range of definition of the independent variable, in this case from 65º to 105º of temperature, because it is within those values that you can be sure they have a linear association. Below or above you are not certain that their association is linear, it may be, for example exponential, or there may be no association between them.
Example: If the temperature is comfortable or cold, it is more likely that people won't buy ice creams, so for those values it will be no linear association between them.
I hope this helps!
A garden is in the shape of a rectangle 85m by 50m
Flowers are grown in 32% of the garden.
The rest of the garden is grass.
Work out the area of the garden that is grass.
Answer:
2890 sq. meters
Step-by-step explanation:
The area of the whole garden is 85 x 50 = 4250 sq. meters. Since the flowers take up 32%, that means the grass must take up 100-32, or 68% of the garden. 68% of 4250 is 2890 sq. meters.
Hope this helped! :)
Answer:
The Area of the Garden that is Grass: 2890 square meters
Step-by-step explanation:
Let us plan out the problem before us. We could first calculate the area of the garden thorugh multiplication it's length by width. After that, compute the area occupied by flowers through 32% of the area of the garden. That would mean the area of the garden that is grass is the area of the garden - the area of the garden that is flowers.
1. Area of Garden = 85 * 50 = 4250 square meters
2. Area of Flowers in the Garden = 32/100 * 4250 = 136000/100 = 1360 square meters
3. Area of Grass in the Garden = 4250 - 1360 = 2890 square meters
The Area of the Garden that is Grass: 2890 square meters
4. Find the zeros for 0 = x2 + 6x + 9.
a. X= 3
b. x = -3
C. X = 3 and x = -3
d. x = 1 and x = 9
Answer:
b. x = -3
Step-by-step explanation:
0 = x^2 + 6x + 9
Factor
0 = (x+3) (x+3)
Using the zero product property
x+3 = 0 x+3 =0
x = -3
What’s the correct answer for this?
Answer:
D.
Step-by-step explanation:
Angle-Angle-Side Postulate since two angles and one side is congruent to eachother.
Answer:
D. Angle-Angle-Side.
Step-by-step explanation:
The 2 sets of triangles have 2 angles and 1 side congruent so the reason is AAS.
Answer the questions about the cone. V= 1/3 BH
What is the radius of a cone?
3,4,6,8 ft
What is the area of the base of the cone?
6,9,8,16 pi ft squared
What is the volume of the cone?
16,24,48,72 pi ft cubed
Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24
Step-by-step explanation:
The radius of the cone is 3ft
The base area of the cone is 28.26ft²
The volume of the given cone is 75.36ft³
The formula for calculating the volume of a cone is expressed as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
r is the base radius
h is the height of the cone
V is the volume of the cone
From the diagram, the base diameter is 6 ft
Base radius = 6/2 = 3ft
The area of the base of the cone is [tex]\pi r^2 h[/tex]
Base area = [tex]3.14 \times 3^2\ = 28.26ft^2[/tex]
Get the required volume of the cone
Volume = Base area/3
Volume = [tex]\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3[/tex]
Hence the volume of the given cone is 75.36ft³
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!!!!!!WILL MARK BRAINLIEST I need answer quickly!!!!!!!!
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 5. Using empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7 of males
Answer:
Average systolic blood pressure = x = 130
Standard deviation = s = 6
Step-by-step explanation:
We are to find interval that represents the systolic blood pressure of middle 99.7% of the males.
According to the empirical rule:
a) 68% values lie within 1 standard deviation of the mean
b) 95% values lie within 2 standard deviation of the mean
c) 99.7% values lie within 3 standard deviation of the mean
So, 99.7% value will lie within 3 standard deviations from the mean.
We can express this range as:
( x - 3s, x + 3s)
= (130 - 3(6), 130 +3(6))
= ( 130 - 18, 130 + 18)
= ( 112, 148 )
Thus the interval from 112 to 148 contains the systolic blood pressure of middle 99.7% of the males in the certain town
Hope this helps!!!
The interval of systolic blood pressures that represent the middle 99.7 of males is (90, 120).
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
Given that,
For males in a certain town, the systolic blood pressure is normally distributed.
Mean, μ = 105
Standard deviation, σ = 5
Using empirical rule, we can say that 99.7% of males having the systolic blood pressures observed following a normal distribution lies within 3 standard deviations of the mean.
So the interval is (μ ± 3σ).
That is, (105 - 3×5, 105 + 3×5) = (90, 120)
Hence the required interval is (90, 120).
Learn more about Empirical Rule here :
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Use the figure to find the measures of the numbered angles.
Answer:
Hope this helps pls mark brainliest
Which best describes a fraction?
» A fraction is the denominator divided by the numerator.
» A fraction is the numerator divided by the denominator.
1.) A fraction is the numerator multiplied by the denominator.
()) A fraction is the denominator multiplied by the numerator.
A fraction is the numerator divided by the denominator best describes a fraction.
Given,
- A fraction is the denominator divided by the numerator.
- A fraction is the numerator divided by the denominator.
- A fraction is the numerator multiplied by the denominator.
- A fraction is the denominator multiplied by the numerator.
We need to find which option best describes a fraction.
What is a fraction?A fraction has two parts: Numerator and Denominator.
It is in the form of Numerator / Denominator.
We have,
- A fraction is the denominator divided by the numerator.
It is written as denominator / Numerator.
- A fraction is the numerator divided by the denominator.
It is written as Numerator / Denominator
- A fraction is the numerator multiplied by the denominator.
It is written as Numerator x Denominator.
- A fraction is the denominator multiplied by the numerator.
It can be written as Denominator x Numerator.
We see that the option "a fraction is a numerator divided by the denominator" is the correct answer.
Thus A fraction is the numerator divided by the denominator best describes a fraction.
Learn more about fractions here:
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Daniel believes that people perform better in the barbell curl, on average, if they are encouraged by a coach. He recruited 29 subjects to participate in an experiment and randomly assigned them into two groups. Daniel gave one group verbal encouragement during the exercise and was quiet during the exercise for the other group. He recorded the total number of barbell curls each subject was able to complete before setting the bar down.
Explain the purpose of random assignment in this experiment.
Answer:
Define two roughly identical sets.
Reduce the chance of bias.
Step-by-step explanation:
In this experiment, Daniel performs a random assignment in order to stablish two separate groups with roughly equivalent ability to do barbell curls. Two different treatments (verbal encouragement and silence) are then applied in order to verify for a cause and effect relationship. If the groups were not randomly assigned, then the experiment could be biased.
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
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The average temperature of the atmosphere in the world is approximated as a function of altitude by the relation Tatm=288.15−6.5z where Tatm is the temperature of the atmosphere in K, and z is the altitude in km with z = 0 at sea level. Determine the average temperature of the atmosphere outside an airplane that is cruising at an altitude of 12600 m. The average temperature of the atmosphere outside an airplane is
Answer:
The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].
Step-by-step explanation:
The average temperature of the atmosphere outside an airplane flying at an altitude of 12600 meters is computed by evaluating the linear function:
[tex]T (12.6\,km) = 288.15 - 6.5\cdot (12.6\,km)[/tex]
[tex]T (12.6\,km) = 206.25\,K[/tex]
The average temperature of the atmosphere outside the airplane is [tex]206.25\,K[/tex].
Find the value of x 6x-10 6x+10
Answer:
total there are 3 values of x as +5/3, -5/3 and 0
Step-by-step explanation:
the given equation is
x(6x-10) (6x+10)=0
this equation can be solved as following
=0 using the formula (a+b)*(a-b)= (a^2-b^2)
here a=6x and b=10
from here we can write either x=0 or 36x^2= 100
or x^2= 100/36 and x=0
or x= ±10/6 and x=0
therefore, total there are 3 values of x as +5/3, -5/3 and 0
How to find the area of the seating area
Parallelogram area is base times height. Base of 14, height of 10,
Answer: A = (14 ft)(10 ft) second choice
Answer:
choice B
Step-by-step explanation:
Find the supplement of an angle that measures 20 degrees.
A) 50 degrees
B) 70 degrees
C) 90 degrees
D) 160 degrees
Answer:
160 degrees
Step-by-step explanation:
Answer:I think it is D
Step-by-step explanation:
angle relationships with parallel lines
Answer: 136°
Step-by-step explanation:
In this angle relationship, it is a supplementary angles. because the parallel lines are separated by a line, the 2 angles make 180°.
180°=44°+x°
x=136°
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
C. y = x² + 7x + 10
Step-by-step explanation:
I graphed the equation on the graph below to show you how I got my answer.
Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.
How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.
I think it is 123 meters Answer:
Step-by-step explanation:
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
If we dilate point P with point P as center, it would become a line parallel to line m
which number when rounded to the nearest hundredth is 37.62
Answer:
Answer: B
Step-by-step explanation:
The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 37.62
The following steps can be used to round off any number to the nearest hundredth:
Step 1 - In the thousandths place value analyze that digit to round off a decimal.
Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.
Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.
Therefore, the correct option is B) 37.612.
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!!!!!!!!!!!!!!!!HELP
Answer:
You have to use this equation: [tex]a^{2} + b^{2} -c^{2}[/tex]
Step-by-step explanation:
C is the hypotenuse but you need another one so you got to do
[tex]x^{2} +8^{2} =17^{2}[/tex]
now you have to find [tex]x^{2}[/tex] which is
[tex]x^{2} = 17^{2} - 8^{2}[/tex]
[tex]x^{2} = 289 - 64[/tex]
[tex]x^{2} = 225[/tex]
[tex]x = \sqrt{255}[/tex]
[tex]x = 15[/tex]
Mr. Khan went for a trip in his car, which travels 14.5km/h on 1 liter petrol. The
reading of a speedometer was 19034.0 km when he started his journey and read
19396.5 km after he had completed his journey. How many liters of petrol are
consumed?
Answer:
25L
Step-by-step explanation:
19396.5 km - 19034.0 km = 362.5 km travled
362.5 km / 14.5 km/L = 25L
What is 7/10 divided by 12 simplified
Answer:
7 /120
Step-by-step explanation:
7/10 ÷ 12
Copy dot flip
7/10 * 1/12
7 /120
Answer:
0.058333
Step-by-step explanation:
The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?
Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border
Step-by-step explanation:c=2pie•r^2
Abeline is creating a box design for a company. The front, back, and sides will be painted, but the top and bottom will not be painted. A prism has a length of 10 feet, height of 8 feet, and width of 12 feet. Which net could be used to find the surface area of the sides that will be painted? A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The first and third rectangle of the top 3 rectangles are shaded, and the first and third rectangle of the bottom 3 rectangles are shaded. A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The middle 4 rectangles are shaded.
Answer:
it is the first one
Step-by-step explanation:
Answer:
A net has 3 rectangles in a row side by side. Another 3 rectangles connect to the middle rectangle side by side. The top 3 rectangles and the middle bottom rectangle are shaded.
Step-by-step explanation:
(3sqr3cis(pi/8))*(3sqr5cis(2pi/3))
Answer:
9√15·cis(19π/24)
Step-by-step explanation:
The magnitudes multiply and the angles add:
= ((3√3)(3√5))·cis(π/8 +2π/3)
= 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))
= 9√15·cis(19π/24)
