please help needed any one please

Answer:

28 grams

Step-by-step explanation:

each cup contains 8 grams 8*3 =24 plus the last half cup which contains 4 grams which brings the total to 28

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

The equation is 5x - 9 = 2x + 23.

The answer is option A.

5 times a number is represented by 5x, with x representing the unknown number.  

5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.  

(5x - 9) is equal to twice the number (2x), increased by 23.  

So, the equation is (2x + 23).  

Therefore, 5x - 9 = 2x + 23

An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.

Learn more about the equation here: https://brainly.com/question/1214333

#SPJ2

Answer:

4x+11 = 39

x = 7

Step-by-step explanation:

4 times a number

4x

Eleven more than

4x+11

is means equals

4x+11 = 39

Subtract 11 from each side

4x+11-11 = 39-11

4x = 28

Divide each side by 4

4x/4 = 28/4

x=7

Answer:

Step-by-step explanation:

To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.

From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°

65+55+∠EBD  = 180

∠EBD  = 180-120

∠EBD  = 60

Also ∠DBC = 90- ∠EBD

∠DBC = 90- 60

∠DBC = 30°

Applying sine rule on ΔBCD;

52/sin∠DBC = DB/sin115

52/sin30 = DB/sin115

DB = 52sin115/sin30

DB = 52sin115/0.5

DB = 104sin115

DB = 114.75 m

Also applying sine rule on ΔBED to get side BE;

BE/sin55 = 114.75/sin65

BEsin65 = 114.75sin55

BE =  114.75sin55/sin65

BE = 93.998/0.906

BE = 103.75m

Finally, applying the trigonometry identity SOH on  ΔABE

sinΔEAB = opp/hyp

sin70° = BE/AE

Since AE = x;

sin70° = 103.75/x

x = 103.75/sin70°

x = 110.41m

Hence, the value of x missing is approximately 110.41m

Answer: There are no real roots.

Step-by-step explanation:

To find the roots of the function

f(x) = (2^x − 1) - (x2 + 2x − 3) with x ∈ R.

First open the bracket

2^x - 1 - x^2 - 2x + 3 = 0

Rearrange and collect the like terms

2x^2 - x^2 - 2x + 3 - 1= 0

X^2 - 2x + 2 = 0

Factorizing the above equation will be impossible, we can therefore find the root by using completing the square method or the quadratic formula.

X^2 - 2x = - 2

Half of coefficient of x is 1

X^2 - 2x + 1^2 = -2 + 1^2

( x - 1 )^2 = - 1

( x - 1 ) = +/- sqrt(-1)

X = -1 + sqrt (-1) or -1 - sqrt (-1)

The root of the function is therefore

X = -1 + sqrt (-1) or -1 - sqrt (-1)

Since b^2 - 4ac of the function is less than zero, we can therefore conclude that there is no real roots

Answer:

  4733

Step-by-step explanation:

Please refer to the attached diagram.

Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.

Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.

We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...

  (12p)(12r) = -1

  r = -1/(144p)

The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:

  slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified

The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...

  tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))

__

Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...

  slope AB = ((slope AC) +2)/(1 -(slope AC)(2))

  [tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]

So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...

  d^2 = (6r^2 -6p^2)^2 +(r -p)^2

  d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216

Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...

  Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b

Then a+b = 125 +4608 = 4733.

_____

Comment on the solution

The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.

Answer:

the initial temperature is 22.5 atm

Step-by-step explanation:

The law describing pressure-temperature relationship is the Gay-Lussac's Law.

The Mathematical Form of which is:

=> [tex]\frac{P1}{T1} = \frac{P2}{T2}[/tex]

Where P1 = ? , P2 = 30 atm, T1 = 600 K and T2 = 800 K

=> [tex]\frac{P1}{600} = \frac{30}{800}[/tex]

=> P1 = 0.0375 * 600

=> P1 = 22.5 atm

So, the initial temperature is 22.5 atm

Answer:

  44/45 radians

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)r²θ

where θ is the central angle in radians.

Filling in the given numbers, we have ...

  110 cm² = (1/2)(15 cm)²θ

  θ = (220 cm²)/(225 cm²) = 44/45 radians

The subtended angle is 44/45 radians, about 56.02°.

Answer:

a) Use a ruler for the measurement.

b) convert to centimetres then use a ruler to draw the unit on the diagram.

c) measure the angle between K and L from K

See explanations below

A complete question related to this found on brainly (ID:15577387) is stated below.

Towns K and L are shown on a map.

a) Work out the actual distance

between towns K and L.

b) A third town, M, is 150 km due

South of town K.

Mark M on the map with X.

c) Measure the bearing of town L

from town K.​

Scale: 1cm represent 50km

Step-by-step explanation:

Scale: 1cm represent 50km

a) To find the actual distance between towns K and L use a ruler to measure the distance between K and L.

Your answer would be in centimetres (cm).

The answer obtained would be multiplied by 50km because from the scale given 1cm represent 50km.

Therefore you'll get the actual distance in km.

b) Here we are told M is 150 km due

South of town K.

Since the length of the initial diagram is in centimeters, we have to find how many centimeters equals 150km.

50km = 1cm

150km = (150km × 1cm)/50km = 150cm/50

150km = 3cm

Now we can represent the distance between K and M on the diagram.

Measure 3cm from K using a ruler in the direction of south (straight line downwards). The distance of M from K would be 3cm on the south of k.

c) Draw a cross on the position of K. Also draw a cross on the position of L. Connect the distance and measure the angle from K to L. The unit would be in degrees.

From the diagram, the angle is greater than 090° but less than 180°

Find attached the diagram.

Answer:

a) 100 km

b) check the photo of my work

c) 117 degrees

Step-by-step explanation:

To get full marks take a look at the photo of my work.

Question (b) use a compass and make sure it’s 3cm aiming down {South} as u can see in the photo, then draw a line aiming {South} with a ruler. On the end of the line you put the (x) point there to get the mark.

Thank you

Answer:

r=8

Step-by-step explanation:

Using the formula they gave us you could plug in the area (64) and divide it by pi which cancels out the pi so taking the square root of 64 gives you 8FT

Hope this helps :)

Answer:

8 ft

Step-by-step explanation:

[tex] \because \: r = \sqrt{ \frac{Area}{\pi} } \\ \\ \therefore \: r = \sqrt{ \frac{64\pi}{\pi} } \\ \\ \therefore \:r = \sqrt{64} \\ \\ \therefore r = 8 \: ft[/tex]

Answer:

7 1/8

57/8

Hope this helps :)

Answer:

- 6x² - x + 9

Step-by-step explanation:

Given

(x² - 3x + 8) - (7x² - 2x - 1)

Distribute the first parenthesis by 1 and the second by - 1

= x² - 3x + 8 - 7x² + 2x + 1 ← collect like terms

= - 6x² - x + 9

m= if i get the Diagram i will answer

Answer: 7/24

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

Find the total number of throws

3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1

When you add these together, you get 100

Find the number of 7s that were thrown

The number of 7s thrown was 16

Find the probability that a 7 was thrown.

P(7) = 16/100 = 0.16

Find the %.

0.16 * 100 = 16%

Answer:

Use a graphing calc.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the number of pennies that Al had​ initially.

He agreed to give six thirteenths of his pennies to Bev. It means that the number of pennies that he gave to Bev is 6/13 × x = 6x/13

if she would give six thirteenths of what she got from Al to Carl, it means that the number of pennies that Carl received is 6/13 × 6x/13 = 36x/169

if Carl in turn would give six thirteenths of what he got from Bev to Dani and Dani received 2376 pennies, it means that

6/13 × 36x/169 = 2376

216x/2179 = 2376

216x = 2376 × 2179

216x = 5220072

x = 5220072/216

x = 24167

AI had 24167 pennies initially

Answer:

3x³ - 2x² + 1 = 0

Step-by-step explanation:

By definition, a quadratic equation cannot have an exponent higher than 2.

Answer:

3x³ - 2x² + 1 = 0

Step-by-step explanation:

Answer:

1

2

6

Step-by-step explanation:

1/2 +1/2 =1

length 1/2 ×4=2

wide 1/2 ×3 =1 1/2

height 1/2×3= 1 1/2

I hope this helps you

Answer:

|6n+7|=8=  n=1/6,-5/2

|3x–1|=4  x=5/3,-1

Step-by-step explanation:

Answer:

(a) Because the confidence interval does not include includes 0​, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men.

(b) The correct option is (A).

(c) The correct option is (C).

Step-by-step explanation:

The 95% confidence interval for the difference between the two population​ mean hemoglobin level is:

CI = (-1.76 < μ₁ - μ₂ < -1.62)

(a)

The hypothesis to test the equality of the mean hemoglobin level in women and the mean hemoglobin level in​ men is:

H₀: The two population means are equal, i.e. μ₁ = μ₂.

Hₐ: The two population means are not equal, i.e. μ₁ ≠ μ₂.

The (1 - α)% confidence interval can be used to draw conclusion about the hypothesis test.

Decision rule:

If the (1 - α)% confidence interval does not consist of the null value then the null hypothesis will be rejected and vice-versa.

The 95% confidence interval for the difference between the two population​ means is:

CI = (-1.76, -1.62)

The 95% confidence interval does not consist of the null value, i.e. 0.

Thus, the null hypothesis will be rejected.

"Because the confidence interval does not include includes 0​, it appears that there is not a significant difference between the mean level of hemoglobin in women and the mean level of hemoglobin in men."

(b)

The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.

Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.

So, the 95% confidence interval (-1.76, -1.62) implies that there is a 95% confidence that the above interval actually contains the value of the difference between the two population means, (μ₁ - μ₂).

The correct option is (A).

(c)

Now it is provided that the measures from men is denoted as population  1 and measures from women is denoted as population  2.

The confidence interval for the difference between two mean is:

[tex]CI=(\bar x_{1}-\bar x_{2})\pm MOE[/tex]

According to the information:

[tex]\bar x_{1}=\bar x_{2}\\\\\bar x_{2}=\bar x_{1}[/tex]

So, the new confidence interval will be:

[tex]CI=-(\bar x_{2}-\bar x_{1})\pm MOE[/tex]

Then the confidence interval with measures from men being population

1 and measures from women being population  2 is:

[tex]CI=(1.62<\mu_{1}-\mu_{2}<1.76)[/tex]

The correct option is (C).

Answer:

the first option

Step-by-step explanation:

3/3 is equal to one so when you multiply 5/6 by one it stays the same but in this case it equals 15/18

Hey there! :)

Answer:

a) 24 cm²

b) 40.04 cm²

--------------------

Use the formula A = l × w to solve for each rectangle's area:

a)

8 × 3 = 24 cm².

b)

5.2 × 7.7 = 40.04 cm²

Answer:

a) 24

b) 40.04

Step-by-step explanation:

a) Area of a rectangle: length x width

length = 8

width = 3

Plug these values into the equation above:

8 x 3 = 24

b) Same steps as above except with different values for length and width

5.2 x 7.7 = 40.04

Answer:

a=1.5b

Step-by-step explanation:

Add 2b on both sides to get 7a=5a+3b

Subtract 5a

2a=3b

divide by 2

a=1.5b

Answer:

The length of the altitude PM is 3.5 cm.

Step-by-step explanation:

We are given that QT and PM  are the altitudes of the triangle PQR. Also, QR = 8 cm, PR = 7 cm and  QT = 4 cm.

We have to find the length of the altitude PM.

As we know that the area of the triangle is given by;

Area of triangle =  [tex]\dfrac{1}{2} \times \text{Base} \times \text{Height(Altitude)}[/tex]

Here, in [tex]\triangle[/tex]PQR; Base = PR = 7 cm

Height(Altitude) = QT = 4 cm

So, the area of the triangle PQR =  [tex]\frac{1}{2} \times 7 \times 4[/tex]

                                                       =  14 sq cm.

Similarly, the area of the triangle can also be;

Area  =  [tex]\frac{1}{2} \times \text{QR} \times \text{PM}[/tex]

Here, QR = Base of triangle PQR = 8 cm

PM = the required altitude

So, Area of triangle  =  [tex]\frac{1}{2} \times 8\times \text{PM}[/tex]

              [tex]14 =4 \times \text{PM}[/tex]

             PM  =  [tex]\frac{14}{4}[/tex]  = 3.5 cm

Hence, the length of the altitude PM is 3.5 cm.

Answer:

The answer is A) 4.84 cm :P

Step-by-step explanation:

Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )

I hope I helped you :P

Answer:

The answer is A.

Step-by-step explanation:

Answer:

The amount Sam invested the first year = $2000

The amount Sally invested the last year = $1900

Complete question related to this was found at brainly (ID 4527784):

For three consecutive years, Sam invested some money at the start of the year. The first year, he invested x dollars. The second year, he invested $2,000 less than 5/2 times the amount he invested the first year. The third year, he invested $1,000 more than 1/5 of the amount he invested the first year.

During the same three years, Sally also invested some money at the start of every year. The first year, she invested $1,000 less than 3/2 times the amount Sam invested the first year. The second year, she invested $1,500 less than 2 times the amount Sam invested the first year. The third year, she invested $1,400 more than 1/4 of the amount Sam invested the first year.

If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is $ and the amount Sally invested the last year is $ .

Step-by-step explanation:

First we would represent the information given with mathematical expressions.

Sam investment for 3 consecutive years:

Year 1 = x dollars

Year 2 = $2,000 less than 5/2 times the amount he invested the first year

Year 2 = (5/2)(x) - 2000

Year 3 = $1,000 more than 1/5 of the amount he invested the first year

Year 3 = (1/5)(x) + 1000

Sally investment for 3 consecutive years:

Year 1 = $1,000 less than 3/2 times the amount Sam invested the first year

Year 1 = (3/2)(x) - 1000

Year 2 = $1,500 less than 2 times the amount Sam invested the first year

Year 2 = 2x - 1500

Year 3 = $1,400 more than 1/4 of the amount Sam invested the first year.

Year 3 = (1/4)(x) + 1400

Since Sam and Sally invested the same total amount at the end of three years, we would equate their sum:

Sum of Sam investment for the 3years = x + (5/2)(x) - 2000 + (1/5)(x) + 1000

= x + 5x/2 -2000 + x/5 + 1000

= (10x+25x+2x)/10 - 1000

= 37x/10 - 1000

Sum of Sally investment for the 3years = (3/2)(x) - 1000 + 2x - 1500 + (1/4)(x) + 1400

= 3x/2 - 1000 + 2x -1500 + x/4 + 1400

= (6x+8x+x)/4 - 1100

= 15x/4 - 1100

37x/10 - 1000 = 15x/4 - 1100

37x/10 - 15x/4 = -100

(148x - 150x)/40 = -100

-2x = -4000

x = 2000

Therefore the amount Sam invested the first year = x = $2000

The amount Sally invested the last year (3rd year) = (1/4)(x) + 1400

(1/4)(2000) + 1400 = 500+1400 = 1900

The amount Sally invested the last year = $1900

Answer:

Both Adler and Erika solved for k correctly.

Explanation:

Either the addition property of equality or the subtraction property of equality can be used to solve for k.

Answer:

Both adler and erika are correct

Step-by-step explanation:

just took it on edg

Answer: 15π m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

where,

r = radius = 3 meters

h = height = 5 meters

Volume = 1/3πr²h

Volume = 1/3 × π × 3² × 5

Volume = 1/3 × π × 9 × 5

Volume = 1/3 × π × 45

Volume = 45π/3

Volume = 15π m³