Choose the four factor pairs of 42.
A. 1 and 42
B. 2 and 21
C. 3 and 14
D. 4 and 12
E. 5 and 8
F. 6 and 7

Answer:

A=x2 - 2x -35

Step-by-step explanation:

x+5 x-7

The solution is Option D.

The area of the rectangle is A = x² - 2x - 35

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

The length of the rectangle L = x + 5

The width of the rectangle is W = x - 7

And ,

The area of rectangle = L x W

Substituting the values in the equation , we get

The area of rectangle = Length of rectangle x Width of rectangle

The area of rectangle = ( x + 5 ) ( x - 7 )

On simplifying the equation , we get

The area of rectangle A = x ( x - 7 ) + 5 ( x - 7 )

The area of rectangle A = x² - 7x + 5x - 35

The area of rectangle A = x² - 2x - 35

Therefore , the value of A is x² - 2x - 35

Hence , the area of rectangle is x² - 2x - 35

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#SPJ2

Answer:

Step-by-step explanation:

surface area of a square base pyramid = base area + 4 ( triangular sides area)

where:

base = 11 m

side height length = 10 m

Surface area = 11² + 2(11)10

                     = 121 + 220

                     = 341 m²

Answer:

20

Step-by-step explanation:

5x4= 20

Answer:

0.0132

Step-by-step explanation:

No

Carbon monoxide concentrations sample in air from a large city are not normally distributed. This is often so because of the time of the day and that of the night. There exists different concentrations during the day, with respect to during the night. The companies and factories work during the day, so does most vehicles. This means that there tend to be a higher concentration during the day, than there will be during the night.

b)

Assuming that Y' is approximately normal, we can say that

P(Y' > 14) = P(Z > [√100(14 - 12)/9]) and this is equal to

P(Z > 2.22) = 0.013

The number of people who can fit into the stands in the stadium is 1,333 people

Space taken by each person = 18 inches

Length of a row of bleachers = 100 feet

Rows of bleachers = 20

1 feet = 12 inches

100 feet = 1200 inches

= 66.67 people

= 66.67 × 20

= 1,333.4

Approximately,

1,333 people can fit into the stands in the stadium

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Answer:

The 3rd one

Step-by-step explanation:

I think

Answer:

it's the last one

'the slope of ab is different than the slope of BC

Step-by-step explanation:

The rule of the pattern follows that each successive number is 3 lesser than the preceeding Value.

The first term = 65

Second term = 65 - 3 = 62

Third term = 62 - 3 = 59

Fourth term = 59 - 3 = 56

Fifth term = 56 - 3 = 53

Sixth term = 53 - 3 = 50

Therefore, each successive number is reduced by 3.

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Answer: can you take a closer picture

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

180 - 42 - 38 = 100

Answer:

[tex]\huge\boxed{\sqrt{25^{3}}}[/tex]

Step-by-step explanation:

When we have a number to a fraction power, we need to note that

Basically, for example, [tex]5^{\frac{1}{2}}[/tex] is the same as [tex]\sqrt{5}[/tex] since the numerator is 1 ([tex]5^1 = 5[/tex]) and the denominator is 2 ([tex]\sqrt{5}[/tex]).

Applying this same logic to [tex]25^{\frac{3}{2}}[/tex] -

[tex]25^{3}[/tex]

[tex]\sqrt{25^3}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

25  3/2  If  n  is a positive integer that is greater than  x  and  a  is a real number or a factor, then  a  x  n  =  n

√  a  x

.  a

x  n

=  n

√  a  x  Use the rule to convert  

25  3  2  to a radical, where  a  = 25

,  x  =  3  and,  n  =  2 .

√25  3

The result can be shown in multiple forms.

Exact Form:  √25  3

Decimal Form:

125

Answer:

x= 5; Segment QR is the mid segment and YW is the base of the triangle. Mid segments are half the length of the base.

Step-by-step explanation:

2x - 3 = (x + 9) ÷ 2 Multiply both sides by 2

(2x - 3) • 2 = x + 9

4x - 6 = x + 9 Add 6 to both sides

4x = x + 9 + 6

4x = x + 15 Subtract x from both sides

4x - x = 15

3x = 15 Divide 3 on both sides

x = 15/3

x = 5

Equation: [tex]5x^2+x-7[/tex]

Since there aren't any like terms and it can't be factored, your answer would be:

[tex]5x^2+x-7[/tex]

Hope this answer helped you!

Answer:

P=17×4=68mm

...........

Answer:

21000

this is the answer

The value of the account is to reach $34,000 in 13 years with a rate of 3.7 compounded monthly is $ 21,000.

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Brody is going to invest in an account paying an interest rate of 3.7% compounded monthly.

The rate of interest yearly will be

[tex]\rm Yearly \ rate = \dfrac{3.7}{12}\\\\Yearly \ rate = 0.308 \%[/tex]

The value of the account is to reach $34,000 in 13 years.

Amount (A) = $ 34,000

Time (t) = 13 years

Rate (r) = 0.308 %

Then the principal amount will be

[tex]\begin{aligned} A &= P (1 + \dfrac{r}{100})^{12*t}\\\\34000 &= P (1 + \dfrac{0.308}{100}) ^{13 * 12}\\\\34000 &= P (1.00308)^{156}\\\\P &= 21,044 \approx 21,000 \end{aligned}[/tex]

The principal amount is $21,000.

More about the compound interest link is given below.

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Answer:

B

Step-by-step explanation:

A quadrilateral is a shape that has exactly 4 sides.

All of the other shapes have 4 sides but with restrictions

For example, a rhombus has to have equal sides whe a rectangle doesn't

That's why B is the answer.

I hope this helps!!!

Answer:

[tex]\huge\boxed{z=\dfrac{5}{4}=1\dfrac{1}{4}=1.25}[/tex]

Step-by-step explanation:

[tex]6z-7=2z-2\qquad|\text{add 7 to both sides}\\\\6z-7+7=2z-2+7\\\\6z=2z+5\qquad|\text{subtract}\ 2z\ \text{from both sides}\\\\6z-2z=2z-2z+5\\\\4z=5\qquad|\text{divide both sides by 4}\\\\\dfrac{4z}{4}=\dfrac{5}{4}\\\\\boxed{z=\dfrac{5}{4}}[/tex]

Answer: z = 5/4

Step-by-step explanation: First simplify the equation by subtracting 2z from both sides and adding 7 to both sides to get 4z = 5.

Step by step below

6z -7 = 2z -2

-2z        -2z

4z -7 = -2

+7         +7

4z = 5

Now divide both sides by 4 to get z = 5/4

4z/4 = 5/4

z = 5/4

Hope this helps!

Answer:

x ≤ 5

Step-by-step explanation:

Answer:

x <= 5

Step-by-step explanation:

mark me brainliest

Answer:

I think the answer is 8

Answer:

1.7

Step-by-step explanation:

Answer:

A terameter is 10²⁴ times larger than a picometer.

Step-by-step explanation:

Here is the complete question:

The largest metric prefix that is ordinarily used is tera, while the smallest prefix is pico. how much larger is a terameter than a picometer.

Step-by-step explanation:

1 tera = 10¹² and

1 pico = 10⁻¹²

To determine how much larger a terameter is than a picometer, we will divide the value of 1 terameter by the value of 1 picometer.

1 terameter = 10¹² meters and

1 picometer = 10⁻¹² meters

1 terameter / 1 picometer = 10¹² / 10⁻¹²

= 10¹²⁻⁽⁻¹²⁾

= 10¹²⁺¹²

= 10²⁴

Hence, a terameter is 10²⁴ times larger than a picometer.

Answer:

It will take 12 and 30 hours

Step-by-step explanation:

To solve this, you need to divide by distance needed to travel by the speed

600/48 is equal to 12.5 hours.

.5 hours is equal to 30 mins because 60mins times .5 is 30 minutes, therefore the final answer is 12.5 hours

I hope this helps :)

Answer:

x=4

Step-by-step explanation:

at x=4

[tex]4(4)+2=18\\16+2=18[/tex]

Answer:

4

Step-by-step explanation:

bc 4 times 4 is 16 plus 2 is 18

Answer:

3 stamps were left over

Step-by-step explanation:

Division

When a number m divides evenly by n the remainder is 0. For example, 120 divides exactly by 30 because 120/30=4 and the remainder is 0.

But 120 does not divide exactly by 50 because 120/50 = 2 and leaves a remainder of 20.

Jeff divided his 1,200 stamps equally among 7 stamp albums. If the division of 1,200 by 7 was exact, there won't be any stamp left over. Let's test it.

1,200/7 is 171.4, obviously is not exact, thus There were stamps left over.

How many?

Multiply the lower integer of division 171 by 7 to get: 171*7 =1,197. This means that 1,200-1,197= 3 stamps were left over

Answer:

14 2/3 is the answer. have a good one

Answer:

A Right angled triangle

Answer:

Step-by-step explanation:

Here you go mate

Step 1

16x^2-6x-7  Question

Step 2

16x^2-6x-7   Factor

answer

(2x+1)(8x-7)