Answer:
5x-15
Step-by-step explanation:
Product means multiply, so that would just make it 5x. Less than means subtract. So its 5x-15.
The domain for f(x) and g(x) is the set of real numbers. Let f(x)=3x+5 and g(x)=x^2. Find f(x) + g(x).
9514 1404 393
Answer:
f(x) +g(x) = x^2 +3x +5
Step-by-step explanation:
You want ...
f(x) + g(x)
Substitute the function definitions:
= (3x +5) +(x^2)
Put in standard form:
= x^2 +3x +5
Calcula el área de un círculo con circunferencia de 37.68 unidades.
Answer:
Tu respuesta
Step-by-step explanation:
1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/
Find the measure of the angle indicated by the red arrow.
Would someone help ? Thank you ! :)
Answer:
Transitive Property of Congruence
Step-by-step explanation:
If angle 1 is = to angle 2 and angle 2 = angle 3, then angle 1 has to equal angle 3.
A package of 3 pairs of insulated gloves costs $15.57. What is the unit price of the pairs of gloves?
The unit price is $per pair of gloves.
Answer:
$5.19
Step-by-step explanation:
→ Write the ratio
3 : 15.57
→ Divide both sides by 3
1 : 5.19
Answer:
5
Step-by-step explanation:
Which number is located at the point Q on the number line?
Answer:
5/8
Step-by-step explanation:
help..................................
Answer:
20
Step-by-step explanation:
becauseit is just below 30
Consider the function g(x)
In order to test for the significance of a regression model involving 14 independent variables and 255 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are:_____.
a. 14 and 255.
b. 255 and 14.
c. 13 and 240.
d. 14 and 240.
Answer:
d. 14 and 240.
Step-by-step explanation:
Given that
The regression model involving 14 independent variables and 255 observations
We need to find out the numerator and denominator freedom degrees
k = 14 regression variable
= n - k - 1
= 255 - 14 - 1
= 240 residuals
df=14,240
Now The degrees of freedom for F -critical is
F_{k,n-k-1}=F_{14,240}
So, The df of the numerator is 14 and df of the denominator is 240
Find the area of the triangle
Answer:
Hello! answer: 76
Step-by-step explanation:
Formula to find area is base × height ÷ by 2 12 + 7 = 19 19 × 2 = 152 152 ÷ 2 = 76 HOPE THAT HELPS!
p(x)=x² – 2x-3/2x2-x-10
Answer:
2x^2+x-10=0
Step-by-step explanation:
Answer:
Hi Amy it's don sorry about du mb ronny
Step-by-step explanation:
just bored without you :-'( see ya buttercup
Solve for h: a = 1/2bh
h = A over 2b
h = A/b (1 /2)
h = 2Ab
h = 2A/b
Answer:
The answer is the last choice, h= 2a/b
Step-by-step explanation:
If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh. Next you would divide each side of the equation by b to solve for h. This would give you h= 2a/b, which is your final answer.
find the common ratio of the geometric sequence 20 40 80
Answer:
2
Step-by-step explanation:
Simplify.
2x120x20
0 4x²/5
4x" 5
2x "/10
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x ^ 11 sqrt 5
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
4x^11 [tex]\sqrt{5}[/tex]
Step-by-step explanation:
You can simplify the 20 inside of the radical by finding its prime factors. 20 has 3 prime factors: 5, 2, and 2. Since the 2 occurs twice, we can cancel out those 2s in the 20 itself and put a singular 2 outside of the radical. It is essentially turning [tex]\sqrt{20}[/tex] into 2[tex]\sqrt{5}[/tex]. Since we now have simplified that 20, the entire equation is now 4x[tex]\sqrt{5x^2^0}[/tex]. We can root x^20 to get x^10, and [tex]\sqrt{5}[/tex] stays that way. The entire equation is now 4x[tex]\sqrt{5}[/tex]x^10, which can be simplified to [tex]4x^1^1\sqrt{5}[/tex].
The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α = 0.05.
Selling Price (x) 404 303 379 433 455 479 317 355 420 332
List Price (y) 415 317 389 436 486 479 323 368 435 343
a. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
b. Is there sufficient evidence to conclude that there is a linear correlation the two variables?
Answer:
Since the calculated t= 7.8120 falls in the critical region ≥ 2.306 we reject H0 and conclude that there is a linear correlation between the two variables.
Step-by-step explanation:
We see that r²= 0.981 and r= 0.995 from the figure .
The P- value is less than 0.05 which indicates that the two variables are linearly correlated.
Set up the hypothesis as
H0: β= 0 i.e the two variables X and Y are not related
Ha: β≠0 i.e the two variables are related
The significance Level is set at ∝=0.05
The test statistic , if H0 is true is
t= b/sb
where sb² = s²yx / ∑( x-x`)² = ∑( y-y`)²/n-2 ∑( x-x`)²
assuming that the distribution of Yi for each Xi is normal with the same mean and the same standard deviation , the statistic t conforms to the Student's t distribution with n-2= 8 degrees of freedom
(X - x`)2 (X - x`)(Y - y`) (Y - y`)2
265.69 259.17 15.9²=252.81
7174.09 6953.87 -82.1²=6740.41
75.69 87.87 -10.1=102.01
2052.09 1671.57 36.9²=1361.61
4529.29 5848.37 86.9²=7551.61
8335.69 7294.87 79.9²=6384.01
4998.49 5380.27 -76.1²=5791.21
1069.29 1016.97 -31.1=967.21
1043.29 1159.57 35.9²=1288.81
3102.49 3124.77 -56.1²=3147.21
SS: 32646.1 SP: 32797.3 33,586.9
Sum of X = 3877
Sum of Y = 3991
Mean X = 387.7
Mean Y = 399.1
Sum of squares (SSX) = 32646.1
Sum of products (SP) = 32797.3
b = SP/SSX = 32797.3/32646.1 = 1.00463
a = Y` - bX `= 399.1 - (1*387.7) = 9.60437
Syx= √∑(y-y`)²/n-2= 33,586.9/8= 4198.3625
sb= syx/ √∑(x-x`)²=4198.3625/32646.1 =0.12860
Putting the values in the regression equation
ŷ = bX + a
ŷ = 1.00463X + 9.60437
The critical region is t ≥ t (0.025) (8)= 2.306
t= b/ sb= 1.00463/ 0.12860=7.8120
Since the calculated t= 7.8120 falls in the critical region ≥ 2.306 we reject H0 and conclude that there is a linear correlation between the two variables.
find the area of the shaded region of the large circle. give your answer to 1 decimal place.
Answer:
Step-by-step explanation:
area = [tex]\pi r^{2}[/tex]
so the area of the circle is
[tex]8^{2} \pi[/tex] which equals 64pi
BUT we have the white circles so we need to find their areas and subtract it
THE WHITE CIRCLES:
diameter = 4 so radius = 2
[tex]\pi 2^{2}[/tex] which equals [tex]4\pi[/tex]
which you double since theres TWO white circles so = [tex]8\pi[/tex]
so 64[tex]\pi -8\pi =56\pi[/tex]
[tex]56\pi =175.00[/tex]
The component form of a vector is (-7.765,28.978) What is the direction angle for the vector measured counterclockwise from the positive x-axis?
Answer:
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Step-by-step explanation:
Let be [tex]P(x,y)[/tex] a point containing the components of a vector, the direction angle for the vector regarding origin ([tex]\theta[/tex]), in sexagesimal degrees, is determined by the following formula:
[tex]\theta = \tan^{-1} \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - x-coordinate of the point P.
[tex]y[/tex] - y-coordinate of the point P.
Let consider that [tex]P(x,y) = (-7.765, 28.978)[/tex]. After a quick inspection, we note that vector stands in the 2nd Quadrant ([tex]x < 0 , y > 0[/tex]). Then, the direction of the angle with respect to the positive x semiaxis is:
[tex]\theta = \tan ^{-1} \left(\frac{28.978}{-7.765} \right)[/tex]
[tex]\theta \approx 105.001^{\circ}[/tex]
The direction angle for the vector measured clockwise from the positive x-axis is approximately 105.001°.
Angle the given vector makes with the positive x-axis when measured counterclockwise is required.
The direction of the angle for the vector measured counterclockwise from the positive x-axis is 105°. The calculations have been shown below by using the concepts of vector.
VectorsThe given vector is (-7.765,28.978)
The angle is found by the formula
[tex]\theta=\tan^{-1}\dfrac{y}{x}[/tex]
Here,
y = 28.978
x = -7.765
Substituting the given values we get
[tex]\theta=\tan^{-1}\dfrac{28.978}{-7.765}=-74.99=-75^{\circ}[/tex]
So, the required angle is
[tex]180-75=105^{\circ}[/tex]
Learn more about vectors:
https://brainly.com/question/25811261
Solve
3x + 7 = 1
please show full working out
Answer:
-2 is answer
plz plz plz plz mark me brainliest
Step-by-step explanation:
* 3x + 7 =1
or 3x = 1 - 7
or 3x = -6
or x = -6/3
or x = -2
Using the GCF factor the given expression: 21xy + 14y
Answer:
7y(3x+2)
you take out the 7y from both sides
Please help me !!!!!!
Answer:
Step-by-step explanation:
median = 180,000
mean = 315,000
total = 2,205,000
Find The sum of the first 10 terms 8,20,32,44
Answer:
S₁₀=620
Step-by-step explanation:
This is an arithmetic sequence with a common difference of d=12
The formula for an arithmetic series is Sₙ=(n/2)(a₁+aₙ) where aₙ is the nth term and a₁ is the first term.
We know that a₁=8 and d=12 where the 10th term would be a₁₀=8+(10-1)12=116.
Therefore, the sum of the first 10 terms of the arithmetic series is S₁₀=(10/2)(8+116)=(5)(124)=620
When you board a Ferris wheel your feet are about 1 foot off the ground.
At the highest point of the ride, your feet are 99 feet above the ground. It
takes 30 seconds for the ride to complete one full revolution. Write a
trigonometric equation for your height above the ground at t seconds after
the ride starts. Find two times when you are 90 feet above ground.
Answer:
you would take 14 secs lol hahaha
Step-by-step explanation:
the wheel on the tv program wheel of fortune is first divided equally into 24 compartments with one labeled"lose a turn" find the probability that the wheel stops a "lose turn" for each of the following a.single spinb.two successive spins c. three successive spins (complete solution)
Answer:
a) [tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.
b) [tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.
c) [tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
24 components on the wheel, one of which is "lose a turn"
This means that each time the wheel stops, there is a [tex]\frac{1}{24}[/tex] probability that it stops at lose a turn.
a.single spin
Only one spin, so:
[tex](\frac{1}{24})^1 = \frac{1}{24}[/tex]
[tex]\frac{1}{24}[/tex] probability that the wheel stops a "lose turn" for a single spin.
b.two successive spins
Two spins, so:
[tex](\frac{1}{24})^2 = \frac{1}{576}[/tex]
[tex]\frac{1}{576}[/tex] probability that the wheel stops a "lose turn" for two successive spins.
c. three successive spins
Three spins, so:
[tex](\frac{1}{24})^3 = \frac{1}{13824}[/tex]
[tex]\frac{1}{13824}[/tex] probability that the wheel stops a "lose turn" for three successive spins.
1) Bessie the cow drank 34 liters of water. How many
milliliters did Bessie drink?
Answer:
Bessie drank 34,000 mL of water.
Step-by-step explanation:
1 liter (L) = 1000 milliliters (mL)
Set up equation:
34 L × 1000 mL
Solve:
34,000 mL
Find the value of x. Round to the
nearest tenth.
15.6 cm
8.8 cm
x = [ ? ]cm
Answer:
x = 4.1 cm
Step-by-step explanation:
To find x, apply pythagorean theorem, which is given as:
c² = b² + a²
Where,
c = 8.8 cm
b = ½(15.6) = 7.8 cm
a = x
Plug in the values
8.8² = 7.8² + x²
77.44 = 60.84 + x²
Subtract both sides by 60.84
77.44 - 60.84 = x²
16.6 = x²
Take the square root of both sides
√16.6 = x
x = 4.07430976
x = 4.1 cm (nearest tenth)
Answer:
The answer is 4.1 cm
Step-by-step explanation:
Fill in the blank 4.1
Please help thank you !
Answer:
1.) B
2.) A
3.) B
Step-by-step explanation:
A landscaper is constructing a rectangular garden with an area of 120 square feet. He draws the garden on paper and represents the length as (x-3) and the width as (x-7). Find the length and the width of the garden.
Options:
1. 3.00 feet
2. 4.00 feet
3. 0.65 feet
4. 4.65 feet
5. 7.65 feet
The attendance at twenty-five high school football games was: 250, 400, 350, 750, 200, 1000, 1200, 800, 600, 900,
400, 300, 500, 800, 650, 450, 550, 750, 350, 600, 1250, 1450, 1500, 800, and 950.
Select all the samples whose mean attendance is above the mean attendance of the population
250, 400, 350, 750, 200
1000, 1200, 800, 600, 900
400, 300, 500, 800, 650
450, 550, 750, 350, 600
1250, 1450, 1500, 800, 950
Answer:
B and d
Step-by-step explanation:
Brainliest pls.
Solve the inequality: 5x + 20 > 50
x=6
[tex]5x + 20 > 50 \\ 5x > 50 - 20 \\ 5x > 30 \\ \frac{5x}{5} > \frac{30}{5 } \\ x > 6[/tex]
The smith family is shopping for a new car
Answer:
Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.
Step-by-step explanation: