Answer:
-20
Step-by-step explanation:
f(x)= 2x^2 + 5x - 17,
f(-1)
Let x = -1
f(-1)= 2 *(-1)^2 + 5(-1) - 17
= 2 *1 -5 -17
= 2 -22
= -20
Answer:
-20
Step-by-step explanation:
f(x)= 2x² + 5x - 17
Put x as -1.
f(-1)= 2(-1)² + 5(-1) - 17
Solve for the powers.
f(-1)= 2(1) + 5(-1) - 17
Multiply the terms.
f(-1)= 2 + -5 - 17
Add or subtract the terms.
f(-1)= -20
On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put someone in the top 5 percent?
Answer:
54.56
Step-by-step explanation:
Given:
Mean, u = 48
Standard deviation, [tex] \sigma[/tex] = 4
Test score = 5%
Required:
Find the raw score, X.
Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.
Thus, [tex] Z_0_._9_5 = 1.64[/tex]
To get X, use the formula:
[tex] mu + z * \sigma [/tex]
= 48 + (4 * 1.64)
= 48 + 6.56
= 54.56
The anxiety test score that would put someone in the top 5% is 54.56
Can somebody help me with this ?? :)
Answer:
Step-by-step explanation:
You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.
I hope I've helped you.
Please help me………………………
The square root of 81/625 = 0.36
The square root of x^2 = x
The square root of y^2 = y
25 x 0.36 = 9
X *x = x^2
Y*y = y^2
Final answer = 9x^2y^2
Answer:
The answer is option d. 9x²y²
Step-by-step explanation:
25xy√81/625x²y²
= 25xy × 9/25xy
= 9x²y²
Hope this helps.
help me for brainliest answer
Answer:
Step-by-step explanation:
Pattern 6 will have 35
Convert 2 3/4 to a decimal number.
Answer:
2.75
Step-by-step explanation:
3/4 is .75 in decimal
Find the values of a and b such that
x^2 + 3x + 4 = (x + a)^2 + b
URGENT!
*silly answers will be reported
Answer:
a = 1.5
b = 1.75
Step-by-step explanation:
First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:
[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]
Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.
It means that we have two equations:
[tex]3x=2ax\\4=a^2+b[/tex]
So, using the first equation and solving for a, we get:
[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]
Finally, replacing the value of a in the second equation and solving for b, we get:
[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]
I really need help!! I don't get this could someone help me?
Answer:
Side a is 35/5=7 inches long
Side b is 30/5=6 inches long
Side c is 15/5=3 inches long
the area of polygon MNOPQR = area of a rectangle that is 15 square units + area of a rectangle that is ___ square units. (input whole numbers only, such as 8)
im not understanding too well so...please help :/
Answer:
The answer is 2.
Step-by-step explanation:
3 - 2 = 1
7 - 5 = 2
2 x 1 = 2
If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system
ОА.
There is no solution.
OB.
The lines in a system cannot be parallel.
Ос.
There are infinitely many solutions.
OD.
There is exactly one solution.
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
If the lines are parallel then they never intersect, thus there can be no solution.
Answer:
ОА.
There is no solution
Step-by-step explanation:
If lines are parallel, they will have no common points, so no solution
An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 steps per day (and 65% of Americans are overweight). A group of health-conscious employees of a large health care system volunteered to wear pedometers for a month to record their steps. It was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps. At = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day?
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 5000
For the alternative hypothesis,
H1: µ > 5000
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 5000
x = 5430
σ = 600
n = 40
z = (5430 - 5000)/(600/√40) = 4.53
Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001
Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.
Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Standard deviationGiven that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:
5430 = 100600 = X600 x 100 / 5430 = X60000 / 5430 = X11.04 = XTherefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.
Learn more about standard deviation in https://brainly.com/question/12402189
Please I need help, DONT SKIPP
Answer:
P(Take the bus | Sophomore) = 0.83
Step-by-step explanation:
For a conditional probability (As given in the example),
P(A|B) is read as,
"The probability of event A occurring given that event B has occurred"
Here event A = Sophomore take a bus
Event B (occurred) = (Drive to school + Take the bus + Walk)
Therefore, P(Take a bus | Sophomore) = [tex]\frac{25}{(2+25+3)}[/tex]
= [tex]\frac{25}{30}[/tex]
= 0.833
≈ 0.83
P(Take the bus | Sophomore) = 0.83 will be the answer.
90 POINTSSS PLEASE HELP!!!!!
Triangle C D E is translated down and to the right to form triangle C prime D prime E prime. Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?
ΔDCE ≅ ΔD'E'C'
ΔDCE ≅ ΔD'C'E'
ΔEDC ≅ ΔC'D'E'
ΔEDC ≅ ΔC'E'D'
The correct option is (B).ΔDCE ≅ ΔD'C'E'
Given,
Triangle CDE is translated down and to the right, forming triangle C'D'E'.
We have to find which statement is correct.
We know that,Triangle has three angles so when we translated it down it doesn't change.
Since Translation doesn't make change to sides and measure of angles so triangle will remain same after translation.
Translation is also known as shifting of same triangle to new position so there will be no change in the angle or side of the triangle. So
[tex]CD =C'D'[/tex]
[tex]\ CE = \ C'E'[/tex]
[tex]DE =D'E'[/tex]
So,the correct option is (B). ΔDCE ≅ ΔD'C'E'.
For more details follow the link:
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Answer: It's B. I hope this helps!!!!
Angela bought 10 stamps that cost $1 or $1.20.
Altogether, her total was $11. How many of each $1 stamps and how many of
each $1.20 stamps did she buy?
Answer:
Let the first equation be x + y = 10
x = 10 -y
2nd equation will be 1x + 1.2y = 11
Substituting in 2nd equation
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
.2y = 1
y = 5
If y = 5, x = 5: coz x + y = 10
She have buy 5 stamps of each $1 stamps and 5 stamps of each $1.20 stamps.
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1.
The standard form of a linear equation is of the form Ax + B = 0.
Let the first equation be;
x + y = 10
x = 10 -y
2nd equation will be,
1x + 1.2y = 11
Substituting in 2nd equation;
(10 - y) + 1.2y = 11
10 - y + 1.2y = 11
0.2y = 1
y = 5
If y = 5, x = 5:
x + y = 10
Hence, She have buy 5 stamps of each $1 stamps and 5 stamps of
each $1.20 stamps.
Learn more about linear equations;
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Tyler flies a plane against a headwind for 4320 miles. The return trip with the wind took 12 hours less time. If the wind speed is 6 mph, how fast does Tyler fly the plane when there is no wind?
Answer:
The plane travels at a speed of 66 miles per hour without wind.
Step-by-step explanation:
Tyler trip has to stage, the first one where he went against the wind and the second where he returned with the wind. We know that the wind speed is 6 mph, if we attribute the variable "x" to the speed of the plane without wind, then on the first stage of its trip the total speed relative to the ground was "x - 6", while on the return trip it was "x + 6". We also know that the distance between the trips was the same 4320 miles, but the second stage was 12 hours faster. We will use the average speed formula to solve this problem, this is shown below:
[tex]\text{speed} = \frac{\text{distance}}{\text{time}}[/tex]
For the first trip the speed was:
[tex]x - 6 = \frac{4320}{\text{time}_1}\\\\\text{time}_1 = \frac{4320}{x - 6}[/tex]
For the second trip the speed was:
[tex]x + 6 = \frac{4320}{\text{time}_2}\\\\\text{time}_2 = \frac{4320}{x + 6}[/tex]
Since the time for the second trip was 12 hours less, then if we add 12 to the second equation it should be equal to the first, so:
[tex]time_2 + 12 = time_1[/tex]
[tex]\frac{4320}{x + 6} +12 = \frac{4320}{x - 6}\\\frac{4320}{x+ 6} - \frac{4320}{x - 6} = -12\\\frac{4320*(x - 6) - 4320*(x + 6)}{x^2 - 36} = -12\\4320*x - 25920 - 4320*x - 25920 = -12*x^2+ 432\\-51840 = -12*x^2 +432\\12*x^2 =51840 + 432\\x^2 = \frac{52272}{12}\\x^2 = 4356\\x = 66[/tex]
The plane travels at a speed of 66 miles per hour.
What is the value of the expression when n = 3?
GO
- 2 n(5 + n-8-3n)
Answer:
54
Step-by-step explanation:
since n = 3
= -2n ( 5n+n-8-3n)
= -2 (3) ( 5+(3)-8-3(3) )
= -6 (5+3-8-9)
= -6 (5-5-9)
= -6 (-9)
= 54.
b) give reasons for your answer
Answer:
80° is the correct answer
Step-by-step explanation:
The angle B is 100° because of the property of the vertically opposite angle.
As we know the property consecutive interior angle that the sum of two angle is 180°
So
Angle B + Angle X =180°
100 °+ Angle X =180°
Angle X=180°-100°
Angle X = 80°
A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?
Answer:
70 degrees
Step-by-step explanation:
Answer:
70 that my answer and so they can reach
how many 3/8’s are in 3
Answer: 8 times
Step-by-step explanation:
Youre essentially doing 3 divided by 3/8.
3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.
[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]
There are eight (8) 3/8’s are in 3
The number of 3/8’s in 3 can be obtained by dividing 3 by 3/8. That is;3 ÷ 3/8N.B: Due to the division sign, the 3/8 is arranged inversely while the sign changes to multiplication (×) as follows:= 3 × 8/3= 24/3= 8This means that there are eight (8) 3/8’s are in 3.Learn more at: https://brainly.com/question/25353016?referrer=searchResults
Find the area of a circle with radius 7 ft.
Answer:
153.9 ft²
Step-by-step explanation:
The area for a circle formula is πr².
Using the radius, we get:
π×7² =
49π ≈
153.938 ≈ (Using the π key)
153.9 ft²
Answer:153.86
Step-by-step explanation:area of a circle is πr square
That is 3.14×49
=153.86
Which expression gives the distance between the points (2,3) and (4,-3)?
Answer:
D
Step-by-step explanation:
D is the only answer with the correct distance formula format and the correct numbers inside the parentheses
Find the solutions to x^2=27 A x= +/- 9 √3 B x= +/- 3 √9 C x= +/- 3 √3 D x= +/- 9 √2 FIRST TO ANSWER CORRECTLY GETS BRAINLIEST :-)
Answer:
The answer is C.
Step-by-step explanation:
You have to square both sides :
[tex] {x}^{2} = 27[/tex]
[tex]x = ± \sqrt{27} [/tex]
Then, you have to simplify it :
[tex]x = ± \sqrt{9 \times 3} [/tex]
[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]
[tex]x = ±( 3 \times \sqrt{3} )[/tex]
[tex]x = ±3 \sqrt{3} [/tex]
Answer:
Option C) x = ±[tex]3\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]x^2 = 27[/tex]
Taking sqrt on both sides
=> x = ±[tex]\sqrt{27}[/tex]
=> x = ±[tex]\sqrt{3 * 3*3}[/tex]
=> x = ±[tex]3\sqrt{3}[/tex]
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed 4/17 cups from the first orange, 3/10 cups from the second orange, 9/20cups from the third orange, 3/11 cups from the fourth orange, and 7/15 cups from the fifth orange. Patel estimates that he needs 2 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate
Answer:
He needs 0.275 cups of orange juice to reach his estimates
Step-by-step explanation:
Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.
4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.
Adding them together we will know the amount he got. Therefore,
4/17 + 3/10 + 9/20 + 3/11 + 7/15
(40 + 51)/170 + 9/20 + 3/11 + 7/15
91/170 + 9/20 + (45 + 77)/165
(1820 + 1530)/3400 + 122/165
3350/3400 + 122/165
0.98529411764 + 0.73939393939
1.72468805703
Patel got approximately 1.725 cups of orange juice . He will require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.
1/2 cup of orange juice
If HK is an altitude of triangle HIJ, IKH = (4x + 50)º, HIK = 43, and KI = x - 7, find Kl.
Plz help now plz
[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Yummy Cookies just opened a brand new cookie bakery. The baker wants to increase the number of cookies he makes and sells each month. So far, the carrot cake cookie has been the best seller. In January, the baker made 14 of these cookies. In February, the baker doubled the January order, and took 5 cookies home to his family. The baker left the rest of the carrot cake cookies at the bakery to be sold. Every cookie left at the bakery sold. If this pattern continues, how many cookies will the baker sell in March and April?
Answer:
Number of cookies sold in March= 46
Number of cookies sold in April= 92
Step-by-step explanation:
Number of cookies made in Feb= 2×14= 28
Number of cookies sold in Feb= 28-5= 23
Number of cookies sold in March= 2× number of cookies sold in Feb
Number of cookies sold in March= 2× 23= 46
Number of cookies sold in April= 46×2= 92
pls Answer it step by step.
I WILL MARK BRAIN LIST.
Answer:
Step-by-step explanation:
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1/5. What are the dimensions of the model bed she built?
A,) 0.8 ft × 0.1 ft
B.) 0.4 ft × 0.5 ft
C.) 0.8 ft × 1 ft
D.) 0.04 ft × 0.05 ft
Answer: C. 0.8 ft x 1 ft
Step-by-step explanation:
The scale factor of 1/5 means you multiply
the dimensions by 1/5
4 * 1/5 = 0.8
5 * 1/5 = 1
Answer:
C. 0.8 ft x 1 ft
Step-by-step explanation:
uses
Katherine has 27 cups of yogurt to make smoothies. Each smoothie
1 cup of yogurt. What is the maximum number of smoothies that
Katherine can make with the yogurt?
Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!
Answer:
g = f/2
Step-by-step explanation:
Since it is given that 2 side lengths are the same, the 2 triangles produced are similar triangles. That means the ratio from f to g would have to be half, as the ratio of the similar triangle is 1:2.
The transformation from the function f (x)=3x to the function f(x)=3x+4 indicates
Answer:
Moving 4 to the right on the x axis
Step-by-step explanation:
The two triangles in the diagram are similar. There are two possible values of x. Work out each of these values. State ALL of your workings out.
Answer:
X = 2
Step-by-step explanation:
Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.
Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]
By substituting the measures of the sides in the expression,
[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]
15(x + 10) = 180
x + 10 = 12
x = 12 - 10
x = 2
Therefore, for the given similar triangles value of x = 2