Answer:
267x2 -8x -8 where
x=- 4± 2√ 538/267
Step-by-step explanation:
x2 - 2x -89x2 - 16x2 - 163x2 + 10 x + 8
= x2 -89x2 - 16x2 - 163x2 - 2x+ 10 x + 8
= -267x2+8x +8
= 267x2 -8x -8
First the like terms are arranged and then added . All the co efficients of x2 are added and x are added separately.
Using the quadratic equation to find the value of x
a= 267 , b= -8 and c= -8
x= -b±√b²- 4ac/ 2a
x= -8±√64 +8544/534
x= -8±√8608/534
x=-8±√ 2 x 2 x 2 x 2 x 2 x 269/534
x=-8± 4√ 2 x 269/534
x=- 4± 2√ 2 x 269/267
x=- 4± 2√ 538/267
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
5.25 or 5 and 1/4
Step-by-step explanation:
7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.
Computers depreciate rapidly. If a new computer that costs $1200 loses 40% of its value every year, what is its worth 5 years from now?
Answer:
$96
Step-by-step explanation:
[tex]f(x)= a(1-r)^x[/tex]
a= initial amount
x= time in years
r= decay rate
[tex]f(x)= 1,200(1-0.4)^5[/tex] ≈
[tex]f(x)= 96[/tex]
help plz :<<<<<<<<<<<<
Answer:
can you make the question more clear please
if the measure of angle 1=105 degrees what is the measure of angle 3
Step-by-step explanation:
Since it is a parallelogram,
opposite angles are equal, hence,
angle 1 = angle 3 = 105°
What is the area of the following trapezoid
Answer:
d. 130
Step-by-step explanation:
A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?
Answer:
180
Step-by-step explanation:
6(5)(3)(2) = 180
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
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Two sides of a parallelogram are 44 feet and 50 feet. The measure of the angle
between these sides is 97º. Find the area of the parallelogram to the nearest square foot.
Answer:
Step-by-step explanation:
area=base(one side )×h
[tex]\frac{h}{44} =sin 97\\h=44 ~ sin~ 97\\area=50 \times~44~sin~97 \approx 2183.60~sq. ~ft.[/tex]
What type of linear equation is the following?
x + 2y = 200
1) Standard Form
2) Slope-Intercept Form
3) Point-Slope Form
4) Horizontal Form
What is the area of this figure? 2m 4m 8m 9m 5m
Answer:
is there a picture of the figure?
Step-by-step explanation:
maybe 98 is an answer.
Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!
Simple mathematics.
2+3 1/10==5 1/10-4==1 1/10 -9 == -8 1/10 == -8.1
-10-4 1/2== -14 1/2 +2 +9 == -3 1/2 == -3.5
Find the value of y that makes the equation y = 8 – 2x true, when x = 3. A. 2 B. 5 C. 6 D. 8
Answer:
so first you would find out the whole equation after you plug in x and it would be
y=8-6
y=2
so the answer is A. 2
The value of y is 2.
The correct option is (A).
What is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.
Given equation is: y = 8 – 2x.
So, when x=3
y= 8-2*3
=8-6
= 2.
Hence, the answer is A. 2
Learn more about equation here:
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find the area of the circle.
Answer:
78.5 cm^2
Step-by-step explanation:
1, find the radius (half a diameter) R = 5
3.14 * 5^2
3.14 * 25 = 78.5
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=7
Step-by-step explanation:
a triangles Angel's should add up to 180 all together
So, 71+64=135
180-135= 45
now that you have found the missing angle, you need to find x.
set the equation equal to 45:
8x-11=45
now solve:
8x-11 =45
add 11 to both sides to cancel out the negative 11 and try to get x alone:
8x=56
divide 8x by 8 and 56 by 8 to get x alone:
x=7
what is the solution to the inequality 3x-42>3
Answer:
x > 15
Step-by-step explanation:
Try to get x on a side by itself...
3x - 42 > 3
3x > 45
x > 15
help with number 4 plz i’ll give brainliest
Answer:
C
Step-by-step explanation:
the square root of 89 is about 9.4 and, on this graph, 9.4 is at about C
Hope this helps you :)
find the length of the unknown side round your answer to the nearest whole number 18 and 4
16.5
17.5
18.5
22.0
Answer:
17.5
Step-by-step explanation:
90% sure
Which table represents a linear function? (will give brainliest)
Answer:
[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{:}\ [/tex]
Linear function :The characteristic property of linear functions is that when the input variable is changed, the change in the output is proportional to the change in the input. Linear functions are related to linear equations.
Step-by-step explanation:
We have
y=mx+c
for 1st
not satisfied.
for
2nd
not satisfied
3rd
3rd satisfied
4th
[note : substitute value of x to get value of y from table]
so
third table represents a linear function.
Answer:
The third option is the answer
Step-by-step explanation:
its like the only one which fits the question
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
A restaurant worker was told to make every ham sandwich with 2 tomato slices and 3 pickle slices.
Select all the true statements
A. A worker makes 3 ham sandwiches. Taken together, the sandwiches will have a ratio of total number of tomato slices to total number of pickle slices of 6 : 9.
B . For every ham sandwich, the ratio of tomato slices to pickle slices is 3 : 2.
C . A worker makes 5 sandwiches. The ratio of total number of tomato slices to total number of pickle slices is 7 : 8.
D . On every ham sandwich the ratio of tomato slices to pickle slices is 2 : 3.
E. Once a ham sandwich is made, there will be a ratio of 2 tomato slices to 1 ham sandwich.
Answer:
Its A and D
Step-by-step explanation:
Trust me ;)
The measure of c is _____
3 squared 5
9 squared 5
3 squared 13
5 squared 3
Answer:
3 squared 13 took the test
Step-by-step explanation:
Answer:
3 squared 13
reason:
you should know this if you tooktn notes
WILL GIVE BRAINLIEST IMMEDIATELY!!!!!!! GIVE EXPLANATION + ANSWER FOR BRAINLIEST
Scalene triangle EFG is reflected to form Δ MNP. Which statement is true?
A. EF≅NP
B. FG≅NP
C. ∠EFG≅∠NMP
D. ∠FGE≅∠NMP
IF YOU PUT RANDOM NONSENSE ANSWERS OR A LINK I WILL REPORT YOU AND EMAIL BRAINLY.
The correct answer is:
D. ∠FGE≅∠NMP
Explanation:
The symmetric property states that if two quantities are equal (or congruent), you can "flip" them around the equals sign (or congruence sign).
This means since EFG is congruent to HJK, then HJK is congruent to EFG.
can someone please help
find rate of change or slope
a. 1
b. 2
c. 1/2
d. 64
Answer:
I believe you're right good luck
7th grade math help me pleaseeee
3(4+n)
Step-by-step explanation:
3(4+n)=12+3n
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler
1. (1, 1) and (7, 5)
2. (1, 1) and (5, 7)
3. (2, 5) and (-1, 2)
4. (2, 5) and (-7, -4)
Pls help me with dis question
Answer:
3 1/15
Step-by-step explanation:
Product means multiply
5 What is the range of
y = -x?- 2x + 3?
A X54
B X > -4
Cy 54
Dy >-4
1. NASA has computer scientists and engineers working on-site for their programs every
day. On the day described, find how many scientists were working and how many engineers
were working.
---
A.
One day there were 11 total engineers and scientists working. Write an
equation that represents this relationship.
B.
Each engineer is paid $144 per day and each scientist is paid $66 per day. On
the same day as in part A, earnings for scientists and engineers totaled
$1038. Write an equation that represents this relationship.
Answer:
Step-by-step explanation:
Can some please help me immediately
Answer:
Step-by-step explanation:
6x+4=52
-4 -4
6x/6=48/6
x=8
Answer:
-4 -4
6x=48
Explanation
You were given 10 math problems for homework. You completed 6/10 of them at school. Which equation shows how to find the fraction of the problems you still need to do to complete your homework?
Answer:
Step-by-step explanation:
1 10