Solve the quadratic equation 2x2 = 5x + 9. <33 please besties
Answer:x=-1
Step-by-step explanation:
What is the complementary angle
of 65 degrees
The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
Answer:
25°
Step-by-step explanation:
Two angles are complementary if the sum of the angle measures add up to (90) degrees. To find the complementary angle of a given angle, subtract the given angle from (90) degrees, the result will be the complementary angle.
(90) - (65) = (25)
The midpoint of AB is M(1,-2). If the coordinates of A are (-3, -8), what are the coordinates of B?
9514 1404 393
Answer:
B(5, 4)
Step-by-step explanation:
The midpoint formula is ...
M = (A +B)/2
Solving for B gives ...
B = 2M -A
B = 2(1, -2) -(-3, -8) = (2+3, -4+8) = (5, 4)
The coordinates of B are (5, 4).
1. What number will make this expression a perfect square trinomial? Show your work. x2 - 6x +
Answer:
.......
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Take half of b (6/2=3)
Square it (3^2=9)
PLEASE HELP ME SOLVE THIS.
STEP-BY STEP
THANK YOU !!!
I really don't know how to calculate this question.
(3 tan 45°)(4 sin 60°)-(2 cos 30°)(3 sin 30°)
Answer:
[tex]9\,\sin(60^\circ)[/tex], which is equal to [tex]\displaystyle \frac{9\sqrt{3}}{2}[/tex].
Step-by-step explanation:
An angle of [tex]45^\circ[/tex] corresponds to an isosceles right triangle: the length of the two legs (adjacent and opposite) would be equal. Accordingly:
[tex]\displaystyle \tan(45^\circ) = \frac{\text{Opposite Leg}}{\text{Adjacent Leg}} = 1[/tex].
Let [tex]A[/tex] denote the measure of an angle. Double-angle identity for sine:
[tex]2\, \sin(A) \cdot \cos(A) = \sin(2\, A)[/tex].
By this identity:
[tex]\begin{aligned}& (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 3\, (2\, \cos(30^\circ) \cdot \sin(30^\circ)) \\ &= 3\, \sin(2 \times 30^\circ) \\ &= 3\, \sin(60^\circ)\end{aligned}[/tex].
([tex]A = 30^\circ[/tex] in this instance.)
Hence:
[tex]\begin{aligned}&(3\, \tan(45^\circ)) \cdot (4\, \sin(60^\circ)) - (2\, \cos(30^\circ)) \cdot (3\, \sin(30^\circ)) \\ &= 12\, \sin(60^\circ) - 3\, \sin(60^\circ) \\ &= 9\, \sin(60^\circ)\end{aligned}[/tex].
[tex]\displaystyle \sin(60^\circ) = \frac{\sqrt{3}}{2}[/tex]. Therefore, [tex]\displaystyle 9\, \sin(60^\circ) = \frac{9 \sqrt{3}}{2}[/tex].
What is the absolute value of 2 1/2
Write your answer as a mixed number.
Answer:
it is 2 1/2
Step-by-step explanation:
I hope this helps
Please help! What is the volume? Answer and explanation please! <3 (No links please..)
V = ____ pi inches cubed
9514 1404 393
Answer:
562.5π in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = 4/3πr³
where r is the radius, half the diameter.
V = (4/3)π(7.5 in)³ = 562.5π in³
A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at
random. How many possible outcomes are there?
0 3
O 5
0 6
O 14
Answer:
14
Step-by-step explanation:
hope it helps!
Write the equation of the line in SLOPE- INTERCEPT form:
1. (4, 2); slope 3
2. (3, -1); slope 4
3. (-4,-2), (4,0)
Answer:
Step-by-step explanation:
1) slope = m = 3
(4 , 2) ; x₁ = 4 ; y₁ = 2
y - y₁ = m(x - x₁)
y - 2 = 3(x - 4)
y - 2 = 3x - 4*3
y - 2 = 3x - 12
y = 3x - 12 + 2
y = 3x - 10 {Slope -intercept form: y = mx + b}
3) (-4 , -2) , (4 , 0)
We have to find the slope
[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{0-[-2]}{4-[-4]}\\\\=\frac{0+2}{4+4}\\\\=\frac{2}{8}\\\\=\frac{1}{4}\\[/tex]
m = 1/4 ; (4 , 0)
y - y₁ = m(x - x₁)
[tex]y - 0 = \frac{1}{2}(x - 4)\\\\y =\frac{1}{2}x - 4 *\frac{1}{2}\\\\y =\frac{1}{2}x - 2[/tex]
#3 please Question Is in the photo above please help me extra points will be given
Answer:
the answer to the problem is d
Please help!
If f(x) is an exponential function where f(- 2.5) = 9 and f(2.5) = 45 , then find the value of f(3.5) , to the nearest hundredth
The value of g(3.5) is 41.49 to the nearest hundredth
Exponential functionThe standard exponential function is given as g(x) = ab^x
If g(-2.5) = 9 and g(2.5) = 45, hence;
9 = ab^-2.5 .............. 1
45 = ab^2.5 .............2
Divide both equations:
9/45 = b^{-2.5-2.5}
1.5 = b^-5
1.5= 1/b^5
b^5 = 0.6666
b = 0.922
Also since 45 = ab^2.5 .
45 = a(0.922)^2.5
45 = 0.81625a
a = 55.13
g(3.5) = 55.13(0.922)^3.5
g(3.5) = 41.49
Hence the value of g(3.5) is 41.49 to the nearest hundredth
Learn more on exponential function here: https://brainly.com/question/12940982
What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
Find the surface area of the regular pyramid.
help TvT
A shipment of sugar fills 8 containers. If each container holds 2 1/6 tons of sugar, what is the amount of sugar in the entire shipment?
Answer:
17 1/3 tons of suger
Step-by-step explanation:
2 1/6 * 8 = 17 2/6 or 17 1/3
answer this please thanks
Answer:
4. c
6. e, a
Step-by-step explanation:
Hopefully, it correct
If you invested $2000 in an account that paid 8% annual interest compounded quarterly, how much would the account be worth in 10 years?
Answer:
4,317.85
Step-by-step explanation:
Answer:
$1600
Step-by-step explanation:
8 = 0.08% Turn the percent to a decimal
2000 / 0.08 = 160 Divide it by 2000
160 * 10 = 1600 Mutiply by 10
Have a good day
According to the U.S. Census Bureau, 11% of children in the United States lived with at least one grandparent in 2009 (USA TODAY, June 30, 2011). Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent. At a 2% significance level, can you conclude that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Step-by-step explanation:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
[tex]H_0: p = 0.11[/tex]
And the alternate hypothesis is:
[tex]H_a: p > 0.11[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.11 is tested at the null hypothesis:
This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]
[tex]z = 3.54[/tex]
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
[tex]z = 3.54[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answer:
Step-by-step explanation:
D and F are alternate exterior angles
A , D , F , G are exterior angles. In this that are on the opposite sides are alternate exterior angles.
Alternate exterior angles:
1) D and F
2) A and G
PLEASE HELP
A town has a population of 40,000 persons.
There are 6000 school-age children in the
town. What is the ratio of the school children
to the total population?
And please add the formula or how you did it
Answer:
3:20
Step-by-step explanation:
6000:40,000
find HCF (2000)
divide both sides by 2000
3:20
A city has the population of 210,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 13 years?
Answer:
6 5
Step-by-step explanation:
4 5 6 7
The manufacturer of a smart watch claims that individuals who pay attention to how many steps they take per day will inadvertently take more steps per day than individuals who pay no attention to how many steps they take per day. To investigate this claim, the manufacturer conducts a study to estimate the difference in the mean number of steps taken by those that pay attention to how many steps they take per day and those that do not. To do so, 40 volunteers are recruited.
Answer:
Hello your question is incomplete attached below is the complete question
answer : 1596 ± 2.861 [tex]\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }[/tex] ------ ( A )
Step-by-step explanation:
I will use excel function to resolve this question
Determine the 99% confidence of interval for the difference in mean number of steps by all people
∝ = 0.01
critical value ( t ) = 2.861 ( = TINV ( 0.01, 19 )
Given that :
S1 = 1580
S2 = 2350
n1 = 20
n2 = 20
Difference in mean = x1 - x2 = 1596
Margin of Error = t * [tex]\sqrt{\frac{S^2_{1} }{n_{1} } +\frac{s^2_{2} }{n_{2} } }[/tex]
∴ 99% confidence of interval
= 1596 ± 2.861 [tex]\sqrt{\frac{1580^2 }{20 } +\frac{2350^2 }{20 } }[/tex] ------
An item originally costs $49.95 and is on sale for 33% off the original price. The sales tax is 5.75%. Find the cost of the item.
Answer:
$35.39
Step-by-step explanation:
for each of the figures write an absolute value equation to satisfy the given solution set
5 and 17
Answer:
|x-11|=6
hope this helps
Step-by-step explanation:
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control
Answer:
Sample number 3
Step-by-step explanation:
From the given information:
Sample Service life(hours) Total Mean(X)
1 2 3 4
1 495 500 505 500 2000 500
2 525 515 505 515 2060 515
3 470 480 460 470 1880 470
Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]
Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]
Thus;
[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]
To plot on an X_Bar chart, we have:
Sample Mean (X) UCL LCL
1 500 520 480
5 515 520 480
6 470 520 480
The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.
You are surveying students to find out their opinion of the quality of food served in the school cafeteria. Which of the following samples would be random?
Answer:
aint random
Step-by-step explanation:
The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.
What is a Random Sample?A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.
Random sampling is used in science to conduct blinded studies or randomized control testing.
This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.
Learn more about random sample here:
https://brainly.ph/question/13096146
#SPJ2
What is this number in standard form? (5×1,000)+(9×1)+(2×1/10)+(6×1/1,000)
Answer:
5009.206
Step-by-step explanation:
The answer is 5009.206. We see that the first portion of this question asks, "(5×1,000)+(9×1)". 5x1000 is 5000. 9x1 is 9. 5000+9= 5009. The second portion of this question asks for the numbers that go after the decimal. 2x1/10 is 2/10. 6x1/1000 is 6/1000. The decimal place stands for one. So we do .206. If the decimal stands for ones that means in this case the 2 is in the tenths place (like it should be since the question asks for 2/10) and the 6 is in the 1000 place (like it should be since the question asks for 6/1000). We add this up together and our answer is 5009.206. Hope this explanation helps! Happy learning!
-7x-13 >(or equal) 8
Answer:
x ≤-3
Step-by-step explanation:
Need help plzzzzzzzzzzxx
9514 1404 393
Answer:
(a) 15/17
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the cosine relation:
Cos = Adjacent/Hypotenuse
cos(P) = PQ/PR
cos(P) = 15/17
HELP PLEASE 40 Points both questions please
6. It's B. x2+y2=25
9. (x + 3)² + (y – 2)² = 25
Hope this helps since this is solved by a 10-year old girl, me.
Which of the following is an equation?
Answer:
B) y/9 = 3
Step-by-step explanation:
What makes an equation is that two things are equal. It consists of two expressions, one on each side of an 'equals' sign.
Only choice B does that