What is the area of trapezoid ABCD in square centimeters?

Answer:

Step-by-step explanation:

The significant figures of a number that carry meaningful contribution to its measurement resolution

Answer:

  [tex]\log_{19}{361}=2[/tex]

Step-by-step explanation:

We know that taking logarithms performs the transformation ...

  [tex]b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}[/tex]

Then for b=19, e=2, x=361, we have

  [tex]\boxed{\log_{19}{361}=2}[/tex]

Answer: i dont know

Step-by-step explanation:

Answer:

B. [tex]f(x)=-(x-4)^{2} -3[/tex]

Step-by-step explanation:

[tex]f(x)=x^{2}[/tex]

The transformations are:

Reflected upon the x axis (x is now negative):

[tex]f(x)=-x^{2}[/tex]

Moved 4 units to the right (instead of just the variable x, you have (x-4)):

[tex]f(x)=-(x-4)^{2}[/tex]

And finally moved 3 units down (so now it's minus 3):

[tex]f(x)=-(x-4)^{2} -3[/tex]

Hope this helps! :]

Answer:

He will need 6 gallons of painting to paint the whole fence.

Step-by-step explanation:

Since 3/4 gallon of paint covered 1/8 of the fence, we have to multiply 3/4 by 8 in order to find the number of gallons that will paint the whole fence (because 8 x 1/8 = 1)

[tex]\frac{3}{4}[/tex] x [tex]\frac{8}{1}[/tex] = [tex]\frac{24}{4}[/tex] = 6

Hope this helps!

Answer:

936 is the correct option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Model B shows how the atoms in the molecule are connected, but Model A does not.

it is C

just did the test

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

sinH= hypotenuse/opposite = (2.9/6.6)

H = sin^-1 ( 2.9/6.6)

​H=26.065≈26

Answer:

x + 57i

Step-by-step explanation:

x - 7² – 8=0

x -49-8

x - 57 = x + 57(-1) ; i = -1( complex number notation)

x + 57i

Answer:

  A. 11•(8 + 7)

  B. 8•(11)-7•(11)

  C. 11•(7) + 11•(8)

Step-by-step explanation:

The commutative property of multiplication lets you swap the order of the factors in the product:

  (8 +7)•11 = 11•(8 +7)

The distributive property lets you eliminate parentheses:

  (8 +7)•11 = 8•11 +7•11

And the commutative properties of addition and multiplication let you rearrange this sum of products to ...

  (8 +7)•11 = 11•7 +11•8

Answer:

the radius

Step-by-step explanation:

Answer:

radius

Step-by-step explanation:

Answer:

The third one is correct

Step-by-step explanation:

Answer:

[-2; 1 ] is the new column vector

Step-by-step explanation:

See explanation in the attachment.

The value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

A matrix is an arrangement of numbers, expressions or symbols arranged in rows and columns as a rectangular array. These rows and columns define the size or dimension of a matrix.

For the given situation,

The matrix is

[tex]a=\left[\begin{array}{c}4&5\end{array}\right][/tex] , [tex]b=\left[\begin{array}{c}3&2\end{array}\right][/tex]

The operation is a - 2b. The matrix becomes

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -2\left[\begin{array}{c}3&2\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}4&5\end{array}\right] -\left[\begin{array}{c}6&4\end{array}\right][/tex]

⇒ [tex]a-2b=\left[\begin{array}{c}-2&1\end{array}\right][/tex]

Hence we can conclude that the value of a-2b as a column vector is [tex]\left[\begin{array}{c}-2&1\end{array}\right][/tex] .

Learn more about matrices here

https://brainly.com/question/18291235

#SPJ3

Answer:

Step-by-step explanation:

The mean SAT score is [tex]\mu=600[/tex], we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it [tex]\sigma[/tex]) is

[tex]\sigma=48[/tex]

Next they draw a random sample of n=70 students, and they got a mean score (denoted by [tex]\bar x[/tex]) of [tex]\bar x=613[/tex]

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis [tex]H_0:\bar x \geq \mu[/tex]

- The alternative would be then the opposite [tex]H_0:\bar x < \mu[/tex]

The test statistic for this type of test takes the form

[tex]t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}[/tex]

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

[tex]t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\[/tex]

Answer:

The null hypothesis is that the SAT score is not significantly different for the course graduates.

Alternate hypothesis: there is a significant difference between the SAT score achieved by the course graduates as compared to the non-graduates.

Apply the t-test. The Test Statistic value comes out to be t = 1.738 and the p-value = 0.0844

Since the p-value is larger than 0.05, the evidence is weak and we fail to reject eh null hypothesis.

Hope that answers the question, have a great day!

Answer:

Current worth of stock is $141.538

Current worth of stock rounded to nearest cent is $142

Step-by-step explanation:

price of stocks= $141

percentage increase in price of stocks = 1.8% of initial price of stock

dollar value increase in price of stocks = 1.8% of initial price of stock

increase in price of stocks = 1.8% of  $141

increase in price of stocks = 1.8/100 * $141 =$ 253.8/100 = $2.538

Current worth of stock = initial price of stock+increase in price of stocks

substituting the value of initial price of stock and increase in price of stocks we have

Current worth of stock =$141 + $2.538 = $141.538

Since we need to find stock worth now, to nearest cent, as after decimal there .5 and any value greater than or equal to .5 is rounded to one then after rounding,  $141.538 becomes  $142

Answer:

associative property of multiplication

Step-by-step explanation:

You cant rlly explain, you just have to know your properties

Answer:

5 hours=300minutes

Step-by-step explanation:

10/2=5 hours

To find the answer in minutes do

50*60 becuase there are 60 minutes in 1 hour.

5*60=300min

Answer:

12 minutes

Step-by-step explanation:

2 people=60 minutes

÷2             ×2

1 people=120 minutes

×10           ÷10

10 people=12 minutes

Answer:

The p-value will be "0.0549".

Step-by-step explanation:

The given values are:

Time, t = 15 minutes

Df, σ = 25-1 = 24

Now,

⇒  [tex]H_{0}:\sigma^2\leq 150[/tex]

and,

⇒  [tex]H_{1}:\sigma^2>150[/tex]

As we know,

Chi square = [tex]\frac{(n-1)s^2}{(\sigma^2)}[/tex]

On putting the values in the above formula, we get

⇒                = [tex]\frac{24\times 15^2}{150}[/tex]

⇒                = [tex]\frac{24\times 225}{150}[/tex]

⇒                = [tex]36[/tex]

Therefore, p-value = 0.0549

The p-value determined > 0.05, the null hypothesis also isn't dismissed at point 0.05.

Answer:

A piece of tape: 15cm =150mm

=> The number of tape 5mm that could be cut: N = 150/5 = 30

Hope this helps!

:)

Answer:

1.3 liters are left

Step-by-step explanation:

Take the amount of water he had and subtract the amount of water he drank

4.0

-2.7

-----------

Borrow

3.10

-2.7

-----------

1.3 liters are left

Answer:

1.3 liters

Step-by-step explanation:

In the given question: "Joel had 4 liters of water, and drank 2.7 liters of water while he was hiking. "

Subtract the total before the hike by the amount he drank during the hike.

[tex]4-2.7=1.3[/tex]

Joel should have 1.3 liters left.

Answer: A converse statement is formed by exchanging the hypothesis and conclusion of the conditional.

Step-by-step explanation:

Answer:

a < -1

Step-by-step explanation:

Okay, so we are given this equation:

t(x) = ax^5 + 2

Lets plug in -2 as x and see what happens.. t(x) can be 66..

[tex]a * (-2)^{5} + 2[/tex] = 66

-32a + 2 = 66

-32a = 64

a = -2

A is less than -1,

a < -1

Answer:

2.8

Step-by-step explanation:

using cosine rule

[tex]s^{2}[/tex] = [tex]1.3^{2} + 1.6^{2} - 2(1.3)(1.6)cos 157[/tex]

s = [tex]\sqrt{8.0793}[/tex] = 2.842 = 2.8

Hello there!

35/100 watch more then 10 hours a week

3000 is 30 times greater than 100 so we can simply multiply 35/100 by 30.

35/100 x 30 = 1050/3000

Therefore, if the company had 3,000 subscribers, 1,050 subscribers would be watching more than 10 hours a week.

Answer:

5 times 6 is 30 and 30 times 7 is 210

so 210 is your anser hop that helps

Answer:

210

Step-by-step explanation: First way: 5x6=30x7=210

2nd way/distributive property: 5(6x7) 5(6=30x7=210.

Answer:

Step-by-step explanation:

Attached is a short table of trig function values. There are really only three you need to remember if you keep an image of the sine and cosine graphs in your head (for 0° and 90° values).

  sin(α) = cos(90°-α)

  tan(α) = sin(α)/cos(α)

__

  sin(30°) = cos(60°) = 1/2 . . . . . . . the answer to this question

  sin(45°) = cos(45°) = 1/√2 = (√2)/2

  sin(60°) = cos(30°) = (√3)/2

__

I find it just as easy to remember SOH CAH TOA and the side ratios in isosceles and half-equilateral right triangles: 1:1:√2 and 1:√3:2, respectively.

Answer:

Only Figure 1 and Figure 3 Are Similar.

Step-by-step explanation:

Figure 1 and Figure 3 are proportional by 1:4 while the Figure 2 is not proportional to any of them.

Answer:

x = 5.

Step-by-step explanation:

We can set up equivalent equations like this to solve:

2(x + 7) = x + 19

Distribute the 2, giving us:

2x + 14 = x+ 19

Move the variables to one side, and the numbers to the other, giving us:

x = 5

AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

Answer:

Step-by-step explanation:

This was a question on mathswatch, so I’ve done this.

You need to round to 3 significant numbers

AB=6cm AC=12cm

AC² = AB + BC²

12² = 6² + CB²

CB² = 12² - 6²

CB² = 144 - 36

CB² = 108

CB = √ 108 cm.

sin 55° = CB / CD

0.81915 = √108 / CD

CD = 10.392 / 0.81915

CD = 12.686 cm

CD = 12.7 cm

Answer:

[tex]-2\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given the expression:

[tex]3\dfrac78 - 6\dfrac14[/tex]

We are to simplify and obtain an equivalent expression.

Step 1: Change to Improper Fractions

[tex]3\dfrac78 - 6\dfrac14=\dfrac{31}{8}-\dfrac{25}{4}[/tex]

Step 2: Take the Lowest Common multiple of the denominators

LCM of 8 and 4 is 8.

Therefore:

[tex]\dfrac{31}{8}-\dfrac{25}{4}=\dfrac{31-2(25)}{8}\\\\\dfrac{31-50)}{8}\\\\=-\dfrac{19}{8}\\\\=-2\dfrac{3}{8}[/tex]

Therefore, an equivalent expression to [tex]3\dfrac78 - 6\dfrac14[/tex] is [tex]-2\dfrac{3}{8}[/tex].

Answer

3  7/8+ (-6  1/4)

Step-by-step explanation: