A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 The truck is transporting 60 large boxes and 55 small boxes. If the truck is carrying a total of 4050 pounds in boxes, how much does each type of box weigh?

The distance to second base is approximately 127.28 feet. Round to the nearest hundredth

Since the angle is 45 degrees, the other side of the right triangle are equal, hence we have two sides of 90 ft to be used to find the hypotenuse

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 90² + 90²

x² = 16200

x = √16200

x = 90√2

x = 127.28 ft (to the nearest hundredth)

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Answer:

A / commutative property

Step-by-step explanation:

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

Answer:

3848.45

Step-by-step explanation:

half 70

35

πr^2

π×35^2

Answer:

22/7×35×2

22/7×70

= 220cm²

Answer:

D

Step-by-step explanation:

sin  (  3pi / 4 )

 =  sin   (   pi   -   pi  /  4   )

 =  sin   (   pi / 4  )

 = 1/root(2)

  =  root(2) / 2

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

Answer:

Reflection in the x-axis

Step-by-step explanation:

f(x) = √x

Shift left 3 units:

f(x + 3) = √(x + 3)

Reflection in x-axis:

-f(x + 3) = -√(x + 3)

Vertical stretch:

-3.f(x + 3) = -3√(x + 3) = g(x)

g(1) = -3√((1) + 3)

g(1) = -6

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

Pam is correct!

Step-by-step explanation:

Pam is correct it would be between nine minutes and 12!

Answer:

28 Weeks

Step-by-step explanation:

8÷2=4

4×7=28

28 Weeks

Answer:

A sports coach bought 2 bats and 3 packs of tennis balls with 4 balls each. If one bat and one ball are of the same price, and he payed $990.50, write the equation for this

Answer: Total distance travelled is 510 km

Step-by-step explanation:

it is given that an automobile travels for

2 hours at 80km/h

3 hours at 110km/h

30 min at 40km/h

to find distance=x(let)

since

distance = speed * time

so

x= 80*2 +110*3 +40*(1/2)  [since 1 hour =60 min so 30 min =1/2 hour]

x=160+330+20

x=510

hence total distance travelled is 510 km

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The value of p in the expression is 45

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

For example a+5 = 2 , by solving this we add the additive inverse of 5 to both sides. The additive inverse of 5 is -5

this means,

a+5-5 = 2-5

a = 2-5

a = -3

Similarly, p-42 = 3 is solved in the same way. we add the additive inverse of -42 which is +42 to both sides,

p-42+42 = 3+42

p = 3+42

p = 45

therefore the value of p is 45

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Answer:

z1 + z2 = 3

Step-by-step explanation:

Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:

(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3

Hence, z1 + z2 = 3.

Answer:

D. 3

Step-by-step explanation:

Edg 2020

Answer: 5/3a + 4/2b

Step-by-step explanation:

\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)

Rearrange:

\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)

Combine Like Terms:

\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)

\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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If the sample standard deviation is 8 and the sample size is 20 , then sample mean for the p value of 0.05 is 56.90   .

We first calculate the test statistic for the hypotheses which is ;

⇒ H₀ :μ=60 ; Hₐ :μ<60

The test statistic for this one-tailed t-test is calculated as :

⇒ t = (x - μ)/(s/√n) ;

where,  x is = sample mean, μ is = population mean, s is = sample standard deviation, and n is = sample size .

We have to find sample mean for  p-value of 0.05,

We need to find the t-value that corresponds to a cumulative probability of 0.05 with (20 - 1) = 19 degrees of freedom ,

The t-value ≈ -1.729  ;

Substituting this t-value, sample standard deviation of 8, and sample size of 20 in the formula for the test statistic,

We get  ;

⇒ -1.729 = (x - 60)/(8/√20) ;

Solving for x , we get ;

⇒ x = 56.90 ;

Therefore, the sample mean for which the p-value is 0.05 is 56.90   .

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The given question is incomplete , the complete question is

You are given the following hypotheses:

H₀ :μ=60 ;

Hₐ :μ<60

We know that the sample standard deviation is 8 and the sample size is 20.

For what sample mean would the p-value be equal to 0.05 ? Assume that all conditions necessary for inference are satisfied.

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

The value of the given expression is  \(2.95\times10^{94}\).

The given expression is \(3^{33}+9^{99}\).

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression can be solved as follows:

\(3^{33}+9^{99}\)

= \(2.95\times10^{94}\)

Hence, the value of the given expression is  \(2.95\times10^{94}\).

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Answer:

Answer is as follows

Step-by-step explanation:

The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.

Answer:

Region I is n(A)

There's 21 elements there.

Region II is the intersection or the region shared by A and B. Denoted by (AnB)

From the data given again.

There are 13 elements in Region II

Region III

Thats part B of the venn diagram

Denoted by n(B)

There's 24 elements in this region.

Region IV

This is the intersection of A and C or the part of the diagram shared by A and C

Denoted by (AnC)

There's 11 elements in this section.

Region VI

This is region shared by B and C

or (BnC)

There's 12 elements in this section.

Region VII

Thats the C part of the Venn diagram

Denoted as n(C)

There's 21 elements here

Region VIII

This part is Empty.

There's no Elements outside the Diagram

There's 0 elements here.

Hope this helps.

Have a great day!

Answer:

False

Step-by-step explanation:

The given statement is false because behavioral field study deals with the cognitive processes during field study or task.

In the given statement only the physical strength of the students is measured while behavioral field study measures or explores human behavior and how or what techniques are students using to perform the field task.

Hence, the correct option is "False".

Answer:

123

Step-by-step explanation:

123.0

Answer:

m∠SUR = 15°

Step-by-step explanation:

m∠UPE = 110°

m∠UPR = m∠EPR [Given]

m∠UPR = \(\frac{1}{2}(m\angle UPE)\)

             = \(\frac{1}{2}(110)\)

             = 55°

Since, m∠SRU = m∠UPR [Given in the picture]

m∠SRU = 55°

m∠SRE = m∠SRU + m∠URP + m∠PRE

85° = 55° + m∠URP + m∠PRE

m∠URP + m∠PRE = 30°

Since, m∠URP = m∠PRE

m∠URP + m∠URP = 30°

m∠URP = 15°

Since, m∠URP = m∠SUR [Given in he picture]

m∠SUR = 15°

Answer:

-25+? = -5

cross -5 over and it the negative sign would turn to postive sign

-25+(5)=?

Therefore answer = 20

To confirm this answer

-25+20= -5

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

Answer:

5. 30km 6. sorry I forgot how to do these 1. 240m 2. 36cm 3. 64ft

Step-by-step explanation:

Based on the solution written by Jack to solve for x, the statement which is true is that: B. 6 is an extraneous solution because it creates a zero in the denominator.

In Mathematics, an extraneous solution can be defined as a type of solution (root) to a squared equation or transformed equation that is not a direct solution (root) of the original equation.

This ultimately implies that, extraneous solutions are numerical values that are obtained when we solve equations that are not solutions to the original equation as shown below:

1/(x - 5) = (x + 3)/(x - 6) - 9/(x² - 11x + 30)

1/(x - 5) = (x + 3)/(x - 6) - 9/(x - 6)(x - 5)

When x = 6, the denominator of the given equation becomes;

1/(x - 5) = (x + 3)/(x - 6) - 9/(6 - 6)(x - 5)

1/(x - 5) = (x + 3)/(x - 6) - 9/(0)(x - 5)

1/(x - 5) = (x + 3)/(x - 6) - 9/0

1/(x - 5) = (x + 3)/(x - 6) - undefined.

Therefore, six (6) is an extraneous solution solution to the original equation because it creates an undefined expression.

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Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.

A polynomial of degree two in one or more variables is referred to as a quadratic polynomial in mathematics. A polynomial function that is defined by a quadratic polynomial is known as a quadratic function.

A second-degree polynomial equation, which must contain at least one squared component, is what is known as a quadratic. Quadratic equations is another name for them. ax² + bx + c = 0 is the quadratic equation's general form.

A parabola is a curved form that represents the graph of a quadratic function. A parabola's vertex is one of its focal points. Its graph's highest or lowest point is where it is. Consider it similar to the parabola's endpoint.

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