Which ordered pair is a solution to the system of inequalities?
y > –x
y ≤ x + 1

A) (0,5)

B) (4,–1)

C) (1,3)

D) (–4,0)

Answer:

[tex]12x^{2} (x^{3}-5)^{3} (x^{4}+3)^{5} +20x^{3} (x^{3}-5)^{4} (x^{4}+3)^{4}[/tex]

Step-by-step explanation:

Step-by-step explanation:

=x^2+2x+4+9-6x+x^2

=2x^2-4x+13

Answer:

C. 325.

Step-by-step explanation:

The last term a5 = 85

a1 = 45

Sum of n terms = n/2 (a1 + l)

So here we have n = 5, a1 = 45 and the last term l = 85

= (5/2)(45 + 85)

= 5/2 * 130

= 325.

The required sum of the arithmetic series is 325.

Arithmetic series is defined as a sequence of numbers arranged in a particular pattern.

The sum of the nth term of an arithmetic sequence is expressed as:

[tex]S_n = \frac{n}{2}[a+l]\\[/tex] where:

n is the number of terms

a is the first term

l is the last term

Given the following

a = 45

n = 5

an = l = 85

Substitute the given values in the formula above:

[tex]S_5= \frac{5}{2}(45+85)\\ S_5=\frac{5}{2}(130)\\ S_5=5 \times 65\\S_5=325[/tex]

Hence the sum of the arithmetic series is 325

Learn more here: https://brainly.com/question/21473794

Answer:

C. preserve

Step-by-step explanation:

When you translate something in geometry, you're simply moving it around. You don't distort it in any way. If you translate a segment, it remains a segment, and its length doesn't change. Similarly, if you translate an angle, the measure of the angle doesn't change.

Answer:

120 ways

Step-by-step explanation:

There are 5 letters.

5! = 5*4*3*2*1

   = 20*6

   = 120

Answer:

The answer is 30.  You cant repeat letters. Ther are 5 letters, the M and A are repeat letters so 5-2=3  5!/3! = 30

Step-by-step explanation:

Answer:

it simple as look

Step-by-step explanation:

He y I a m r a v I t ha n k S

Wowowowowowowowowk

9514 1404 393

Answer:

  45°, 45°, 90°

Step-by-step explanation:

If the difference of two angles is 0°, then they are congruent, and the triangle is isosceles.

The angle measures of the isosceles right triangle are 45°, 45°, 90°.

Answer:

30 new residents

Step-by-step explanation:

Find how many new residents they will have by finding 1.2% of the current population.

2500(0.012)

= 30

So, Hawkville will have 30 new residents

Answer:

y=2,4

Step-by-step explanation:

7,25x( y+5,6)=58

7,25y+ 40,6=58

7,25y=58-40,6

y=17,4:7,25

y=2,4

x

9514 1404 393

Answer:

  |x| = 1/2

Step-by-step explanation:

Perhaps the simplest equation is ...

  |x| = 1/2

__

You could get more elaborate:

  |2x| = 1

  3 -|6x| = 0

Answer:

[tex]2\times \left(-21\right)\times \:7[/tex]

PEMDAS order of operations:

[tex]2\times \left(-21\right)=-2\times \:21=-42[/tex]

[tex]=-42\times \:7[/tex]

[tex]=-294[/tex]

D) -294 is your answer

OAmalOHopeO

Answer:

Approximately 68% of students study between 22.9 and 25.7 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 24.3 hours, standard deviation of 1.4 hours.

What percent of students study between 22.9 and 25.7 hours?

22.9 = 24.3 - 1.4

25.7 = 24.3 + 1.4

Within 1 standard deviation of the mean, so:

Approximately 68% of students study between 22.9 and 25.7 hours.

Total No of trucks: 5

Weight of trucks: 3200Kg

Total weight of trucks: 3200×5

= 16000kg

Total no of tyres = 5 ×8

= 40

Weight of each tyre = 125kg

Total weight of tyres = 125 × 40

= 5000Kg

The total weight of trucks and tyres: 16000 + 5000

= 21000Kg

Answered by Gauthmath must click thanks and mark brainliest

Answer:

D. 11

Step-by-step explanation:

First apply the secant-secant theorem to find the value of x.

Thus,

VU(TU + VU) = VW(BW + VW) (secant-secant theorem)

Substitute

(7)(x + 4 + 7) = (9)(-2 + x + 9)

7(x + 11) = 9(7 + x)

7x + 77 = 63 + 9x

Collect like terms

7x - 9x = 63 - 77

-2x = -14

Divide both sides by -2

x = 7

✔️Find TU

TU = x + 4

Substitute get value of x

TU = 7 + 4 = 11

Answer:

11

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x \approx 19.6}[/tex]

We can use right triangle trigonometry to solve.

We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:

Use cosine: cos Ф = A / H

Thus:

cos 30° = 17 / H

Simplify:

0.866 = 17 / H

Isolate for H:

H · 0.866 = 17

H = 17 / 0.866

H = 19.63 ≈ 19.6

Answer:

x = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 30 = 17/x

x cos 30 = 17

x = 17/cos 30

x=19.62990

To the nearest tenth

x = 19.6

↪[tex] \huge\rm{answer: } \: \boxed{ \purple{24 }}[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

M(6)= {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ...}

M(8) = {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...}

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

I hope you understood!✏

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]

Answer:

6=0,6,12,18,24,30,36,42,48,54,60

8=0,8,16,24,32,40,48,56,64,72,80

HCF=24,48

LCM=0,6,12,18,,30,36,42,48,54,60,8,16,24,32,40,,56,64,72,80

9514 1404 393

Answer:

  E.  384 cu ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so the width is ...

  (40/2) -12 = 8 . . . feet

The depth is half that, so is 8/2 = 4 feet.

The volume is ...

  V = LWH = (12 ft)(8 ft)(4 ft) = 384 ft³

Answer:

a = -8

Step-by-step explanation:

Let the required number be "a".

Given that, seven times a number minus the number is -48

7 × a - a = -48

7a - a = -48

6a = -48

a = (- 48) / 6

a = -8

Answer:

X= -5.3 & Y= -2.34

X= 0.49 & Y= 3.49

X= 2.85 & Y=5.85

Step-by-step explanation:

To find the intersection you would need to graph it and locate where both lines will intersect.

Answer:

2

Step-by-step explanation:

We have two points so we can find the slope

m = ( y2-y1)/(x2-x1)

    = ( -11 - -1)/( 4 -9)

    = (-11+1)/( 4-9)

    -10/ -5

   = 2

Answer:

98

Step-by-step explanation:

2, 10, 18, 26, 34, 42, 50... 98

Hope this helps. Have a great day!

Answer:

✔ 0.4

✔ 0.4 centimeters less

✔ 9.2

1.16(5) + 3 = 8.8

9.2 - 8.8 = .4

ED2021

The residual is 0.4

'Regression takes a group of random variables, thought to be predicting Y, and tries to find a mathematical relationship between them. This relationship is typically in the form of a straight line (linear regression) that best approximates all the individual data points.'

According to the given problem,

y = 3 + 1.16x

After 5 weeks, x = 5,

⇒ y = 3 + 1.16(5)

⇒ y = 3 + 5.8

⇒ y = 8.8

Now subtracting y from actual height of plant,

⇒ 9.2 - 8.8

=  0.4

Hence, we can conclude the residual to be 0.4.

Learn more about regression here: https://brainly.com/question/7656407

#SPJ2

Answer:

c=0

Step-by-step explanation:

ATQ a.b=|a||b|sin(45)

1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)

1+c=sqrt(1+c^2)

(1+c)^2=(1+c^2)

2c=0, c=0

The required simplified value of c is zero for which the angle between a and b is 45°.

Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.  

Here,
scaler product is given as,
a . b = |a|.|b|cos45
(i + cj). (i + j) = √[1² + c²] . √[1²+1²] × 1/√2
1 + c = √1 + c²

Squaring both sides
(1 + c)² = 1 + c²
1 + c² + 2c =1 + c²
2c = 0
c = 0

Thus, the required simplified value of c is zero for which the angle between a and b is 45°.

Learn more about vectors here,

https://brainly.com/question/13322477
#SPJ2

OSEAMENTE no se la respuesta

Answer:

AA

Step-by-step explanation:

We know that all three angles are similar  as shown by the markings

I would use  AA, or the Angle Angle theorem

Answer:

3, 11, 35.

Step-by-step explanation:

The first 3 terms of the sequence can de written as:

n, 3n + 2, 3(3n + 2) + 2

So when n = 3 the first 3 terms are

3, 3(3) + 2,  3(3(3) + 2)) + 2

= 3 , 9 + 2, 33 + 2

= 3, 11, 35.

Step-by-step explanation:

0 slope means it has in x.

so the equation is y=-1, because that is the coord for the points'y axsis

Answer:

Since I cant say which answer due to no graph, I'll tell you How to do so.

Step-by-step explanation:

if it is A, then the there is at least one angle or line length that is not the same. To find the area of a grided shape, use the traingle theorm of a^2+b^2=c^2.

if it is B, that meants moving the shape to the other will result in a perfect fit. Be sure to find if all side lengths are the same as that means that the shape IS congrouent, as equal side length means equal angles. However, it will not be this choice if the shape is mirrored to the other

A rotation and tranlastion means it is flipped either upside down or up and moved to the shape.

D, a reflection, which means its the opposite. Like a mirrored shape. Then you move it.

Answer:

Hence, data does not suggest the true average gap detection threshold for CTS subjects exceeds that for normal subjects.

Step-by-step explanation:

H0 : μ1 = μ2

H1 : μ1 < μ2

Given :

m = 8 ; x1 = 1.71 ; s1 = 0.53

n = 10 ; x2 = 2.53 ; s2 = 0.87

The test statistic :

(x1 - x2) / √(s1²/m + s2²/n)

(1.71 - 2.53) / √(0.53²/8 + 0.87²/10)

-0.82 / √0.1108025

Test statistic = - 0.82 / 0.3328700

Test statistic = - 2.463

The degree of freedom using the conservative approach :

Smaller of (10 - 1) or (8 - 1)

df = 7

TCritical value(0.01, 7) = 2.998

Decision region :

Reject H0 if |Test statistic| > |critical value|

Since, 2.463 < 2.998 ; WE fail to reject H0 ; Hence result is not significant at α = 0.01