Answer:
(x,y)=(4,-9)
Step-by-step explanation:
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
What is the solution of the equation?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The solution of the equation means the value of the unknown or variable.
The system of the equation is given below.
7x + 4y = – 8 …1
8x + 5y = –13 …2
Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have
32x – 35x = –52 – (–40)
–3x = –12
x = 4
Substitute the value of x in equation 1, then the value of y will be
7(4) + 4y = – 8
28 + 4y = –8
4y = –36
y = –9
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
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PLEASE HELP ME!!!!!
what is the perimeter and area of this figure?
Answer:
The perimeter is 99
Step-by-step explanation:
you do 11x9=99
The formula for the volume of a pyramid is
V = 1/3 Bh. What can be concluded about this triangular pyramid? Check all that apply.
The height is 7 cm.
The base area is 73.5 cm2.
The volume is 171.5 cm3.
The volume of a prism with the same base area and height is 3 times the volume of this pyramid.
The area of a lateral face is used to find the volume.
Answer: C and D
Step-by-step explanation:I just did it my bad for the late response.
Twenty nine concrete blocks were sampled and tested for crushing strength in order to estimate the proportion that were sufficiently strong for a certain application. Twenty seven of the 29 blocks were sufficiently strong. Use the small-sample method to construct a 95% confidence interval for the proportion of blocks that are sufficiently strong.
Answer:
95% confidence interval for the proportion of blocks that are sufficiently strong
(0.83913 , 1.02293)
Step-by-step explanation:
Step:-1
Given that the sample size 'n' = 29 blocks
Estimate proportion
[tex]p = \frac{x}{n} = \frac{27}{29} = 0.93103[/tex]
Step:-2
95% confidence interval for the proportion of blocks that are sufficiently strong
[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]
[tex](0.93103 -1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } , 0.93103 + 1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } )[/tex]
(0.93103 - 0.0919 , 0.93103 +0.0919)
(0.83913 , 1.02293)
Final answer:-
95% confidence interval for the proportion of blocks that are sufficiently strong
(0.83913 , 1.02293)
I need the surface area plz
Answer:
922
Step-by-step explanation:
(5x22)x2=220
(13x5)x2=130
(22x13)x2=572
220+130+572=922
Answer:
Length (l) = 22 ft
Breadth (b) = 13 ft
Height (h) = 5 ft
Surface Area of a cuboid
[tex] = 2(lb + bh + lh)[/tex]
[tex] = 2(22 \times 13 + 13 \times 5 + 5 \times 22) \\ = 2(286 + 65 + 110) \\ = 2(461) \\ = 2 \times 461 \\ = 922 \: ft ^{3} [/tex]
=> Surface area of the cuboid will be 922 ft³.
point a and point b are placed on a number line point a is located at -20 and point b is 5 less then point a Wich statement about point b is true
Answer:
Step-by-step explanation:
D beause less then 5 that means it gose down the grid
Due at 12 pls help
....
Answer:
64,120 written as 6.412 x 10^4 in scientific notation
Write the ratio for tan A.
A
25
22
B
Answer:
list
tan (A)=
A=
25=
22=
B=
Step-by-step explanation:
-7r^2= -329 square root property
9514 1404 393
Answer:
r = ±√47
Step-by-step explanation:
-7r^2 = -329 . . . . given
r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)
r = ±√47 . . . . square root both sides (square root property of equality)
Answer:
This is what I got.
Step-by-step explanation:
What is the volume of an 8-inch by 4-inch by 4
1) 2-inch rectangular box?
Answer________ cubic inches
Answer is 128 cubic inches
The volume of the given box is 64 inch³
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The length, width, and height of a rectangular box are multiplied to get its volume.
As a result, the following formula may be used to determine the volume of an 8 inches by 4 inches by 2 inches rectangular box:
Volume is calculated using the formula LWH.
Volume is =8 * 4 * 2 inches.
64 cubic inches is the volume.
The rectangular box measures 8 by 4 by 2 inches and thus has a volume of 64 cubic inches.
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What is the answer to this question?
Answer: 12a^3b^4
Hope this helps
find the value f(-5)
Answer:
-9
Step-by-step explanation:
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
Consider the following vectors in component form.
→u=⟨3.2,2.5⟩
→v=⟨−6.3,−5.9⟩
→w=⟨−0.2,0.9⟩
→z=⟨11,−3⟩
Represent each of the following resultant vectors in component form. (Each answer should be in the form "< #, #>".) →u+→v=
→v+→w=
→u+→z=
→w+→z+→u=
Answer:
Cartesian Coordinate System
• Also called
rectangular coordinate
system
• x- and y- axes intersect
at the origin
• Points are labeled (x,y)
Polar Coordinate System
– Origin and reference
line are noted
– Point is distance r from
the origin in the
direction of angle θ,
ccw from reference
line
– Points are labeled (r,θ)
Cartesian to Polar Coordinates
• r is the hypotenuse and θ
an angle
θ must be ccw from
positive x axis for these
equations to be vali
Step-by-step explanation:
Arc measure of A and B
Answer:
arc a = 64°
arc b = 112°
Step-by-step explanation:
inscribed angles = 1/2 their arc
arc of 102° = 204° arc
arc a = 204° - 140° = 64°
arc of 92° = 184°
arc b = 360° - 184° - 64° = 112°
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.1333[/tex]
[tex]Z = -0.1333[/tex] has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
PLEASE HELP !!!!!!!Find
y, such that ABC ~A
DEF.
Use proportionals to find y.
[tex] \frac{9}{18} = \frac{6}{y} [/tex]
Answer:y=12
A person is standing on the equator of Earth (radius 3960 miles). What are his linear and angular speeds?
Answer:
Linear speed =ωr=2π/86400×3960=11π/120 miles/s.
Step-by-step explanation:
The linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
It is given that radius of equator of earth is 3960 miles.
We have to find the linear and angular speeds.
What do you mean by the linear speed ?
The linear speed of a point on the object is equal to the angular speed (ω) multiplied by the distance r.
As per the question ;
radius of equator of earth = 3960 miles
The linear speed will be ;
s = rθ / t
We know that ; at any point of equator would complete 360° or 2π radians revolutions every 24 hours.
So ;
s = (3960 miles × 2π) / 24 hour
s = 330π miles / hour
s ≅ 1036.73 miles / hour
And
The angular speed will be ;
ω = s / r
ω = 1036.73 / 3960 minutes
ω = 0.26 radian/hour
Thus , the linear speed and angular speed will be 1036.73 miles / hour and 0.26 radian / hour.
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Hi I need help please just tell the answer don’t scam me with a link and have a nice day :)
Simplify the following expression: 7(2x+ 6y)
Answer:
7(2x+ 6y) = 14x + 42y
Step-by-step explanation:
give brainllest plz
Jade is thinking of a number. 3/4 of 200 is the same as 1/8 of her number. What number is she thinking of?
Answer:
1200
Step-by-step explanation:
3/4 of 200 = 150
150 is 1/8 of 1200
Answer:
1200
Step-by-step explanation:
3/4 of 200 is 150
is 150 is 1/8 of her number then multiply 150 by 8 and you get her number.
What is the value of x in 2.5-0.35x=-3
Answer:
X= 110/7 or 15.7 or rounded to 16
Answer:
x=15.714285
Step-by-step explanation:
-0.35x=-3-2.5
-0.35x=-5.5
-0.35/-0.35= -5.5/0.35
X=-5.5/-0.35
X=15.714285
Suppose a normal distribution has a mean of 50 and a standard deviation of 3. What is P(x<53)?
A. 0.84
B. 0.16
C. 0.025
D. 0.975
The correct answer is A. 0.84
The value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We know,
[tex]\rm Z = \dfrac{X-\mu}{SD}[/tex]
X = 53, μ = 50, and SD = 3
[tex]\rm Z = \dfrac{53-50}{3}[/tex]
Z = 1
From the Z table.
The value of P(X<53) = 0.84
Thus, the value of P(X<53) is 0.84 if the Z = 1 and normal distribution has a mean of 50 and a standard deviation of 3 option (A) is correct.
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Geometry Question I am stuck on!
A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:
BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT
TWB, BTW, WBT
TWB, TBW, BTW, BWT, WBT, WTB
BTW, BWT
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
A cell phone company is offering a plan for unlimited talk and text with an additional charge for data that can be represented by the function C(g) = 14.99g + 32, where C represents the cost, in dollars, and g represents the number of gigabytes of data, According to this model, fill in the blanks with the values that complete the sentence. The cost of the plan for unlimited talk and text is $ ______ , with an additional cost of $ ______ for each gigabyte of data.
This means that the extra cost for using 1 gigabyte of data will be $14.99, for using 2 gigabytes of data it will be $29.98, and so on.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The given function C(g) = 14.99g + 32 represents the cost, in dollars, for a cell phone plan that offers unlimited talk and text, with an additional charge for data usage.
The function has two parts:
The fixed cost of the plan is $32 (this is the cost you pay even if you don't use any data).
The variable cost of the data usage is $14.99 per gigabyte.
So, the cost of the plan for unlimited talk and text is the fixed cost, which is $32.
And, the additional cost for each gigabyte of data is the variable cost, which is $14.99.
This means that if you use 1 gigabyte of data, the additional cost will be $14.99, if you use 2 gigabytes of data, the additional cost will be $29.98, and so on.
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Dress mart is having an end of summer sale that reduces all prices by 25%. What is the sale price of a dress that is regularly $38.00?
Answer:
$28.50
Step-by-step explanation:
$38.00 x 0.75 = $28.50
What is the perimeter of the square below ?
5 inches
Answer: Where is the square?
Step-by-step explanation:
Heavy general purpose trucks are often used in pipeline operations. They are built to hold up when carrying or pulling substantial loads, and yet still be suitable for regular highway use. A new truck with appropriate options is purchased for $47,000. It is estimated to have a useful life of 5 years and a salvage value of $2,900 at that time.
Required:
Develop a table showing the depreciation.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Purchase price= $47,000
Salvage value= $2,900
Useful life= 5 years
To calculate the annual depreciation, we need to use the following formula:
Annual depreciation= (original cost - salvage value)/estimated life (years)
Annual depreciation= (47,000 - 2,900) / 5= $8,820
The accumulated depreciation is calculated as follow:
Accumulated depreciation= years of depreciation*annual depreciation
For year 4:
Accumulated depreciation= 8,820*4= $35,280
Finally, the book value is:
Book value= purchase price - accumulated depreciation
Year Annual depreciation Accumulated depreciation Book value
1 8820 8820 38180
2 8820 17640 29360
3 8820 26460 20540
4 8820 35280 11720
5 8820 44100 2900
Which is not a solution of this inequality?
Answer:
10
Step-by-step explanation:
10-8=2 being smaller or equal to 2.