Can you solve the inequalities x + 5 < 23

Answer:

True

Step-by-step explanation:

40oz = 2.5 lb

10 = 0.625

Answer:

f(10) = 12

Step-by-step explanation:

f(x) = x + 2

Substitute x for 10.

f(10) = 10 + 2

f(10) = 12

Answer:

12

Step-by-step explanation:

Substitute 10 into x -> 10+2=12

Answer:

This can be done in 3,060 ways.

Step-by-step explanation:

Letters are chosen without replacement, and the order does not matter, which means that the combinations formula is used.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Four letters from a set of 18. So

[tex]C_{18,4} = \frac{18!}{4!14!} = 3060[/tex]

This can be done in 3,060 ways.

Answer:

no solution

Step-by-step explanation:

|x| + 7 < 4

Subtract 7 from each side

|x| + 7-7 < 4-7

|x| < -3

But an absolute value must be greater than or equal to zero

There is no solution

Answer: No solutions

Let's solve the inequality step-by-step

[tex]|x|+7<4[/tex]

First subtract 7 from both sides

[tex]|x|+7-7<4-7\\|x|<-3[/tex]

Now usually you'd solve absolute value, but absolute value cannot be less than 0 so there can't be a solution.

Answer:

93. Divide 248 by 8. One eighth of 248 = 31.

June sold 3/8 of the 248 oranges.

If 1/8 = 31 and June sold 3/8 of the oranges.

Multiply 3 × 31. Therefore June sold 93 oranges.

Step-by-step explanation:

Answer:

93 oranges

Step-by-step explanation:

3/8 of 248

[tex]\frac{y}{248} :\frac{\frac{3}{8} }{1}[/tex]

y × 1 = 248 × 3/8

y = 93

Answer:

40 centimeters square.

Step-by-step explanation:

Area= length × width

8×5=40

Have a nice day

Answer:

Therefore, the standard for will be:

[tex]y=\frac{1}{4}x^{2}-x-4[/tex]

Step-by-step explanation:

The equation of a parabola written as vertical axes is given by:

[tex](x-h)^{2}=4p(y-k)[/tex] (1)

The vertex of the parabola (h,k) is (2,-5).

The focus (h,k+p) is (2,-4)

Then we can find p knowing that:

h = 2

k = -5

k + p = -4 then p = -4+5 = 1

Putting all these values in equation (1) we will find the equation of the parabola:

[tex](x-2)^{2}=4(1)(y-(-5))[/tex]

[tex](x-2)^{2}=4(y+5)[/tex] (2)

Now, we need to find the standard form of the equation of the parabola.

Let's recall that standard form is:

[tex]y=ax^{2}+bx+c[/tex]  

We just need to work out equation (2) to convert it to the standard form.

[tex](x-2)^{2}=4(y+5)[/tex]

[tex]x^{2}-4x+4=4(y+5)[/tex]

[tex]\frac{1}{4}x^{2}-x+1=y+5[/tex]

Therefore, the standard for will be:

[tex]y=\frac{1}{4}x^{2}-x-4[/tex]

I hope it helps you!

Answer:

49 square inches

Step-by-step explanation:

Length x width =area

since it is a square, all sides have a length of 7 inches

7x7=49 inches ^2

Given:

The figure of a construction.

To find:

The correct option that represents the given construction.

Solution:

In the given figure, the given angle is angle CAB.

The steps for the given figure are:

1. Draw a ray PQ.

2. Mark an arc BC on the given angle and mark the same arc on the line and the intersection of line and arc is point Q.

3. Set the compass of the length BA.

4. Put the compass on the point Q mark arc that intersect the first arc. The intersection of arcs is R.

5. Draw a ray PR.

These are the steps of construction to copy an angle.

Therefore, the correct option is A.

Answer:

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

[tex]y=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

[tex]y=a(x+2)(x-3)[/tex]

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

[tex]-30=a(0+2)(0-3)[/tex]

Solve for a:

[tex]-30=-6a\Rightarrow a=5[/tex]

Hence, our factored equation is:

[tex]\displaystyle y=5(x+2)(x-3)[/tex]

For the standard form, expand:

[tex]y=5(x^2-3x+2x-6)[/tex]

Simplify:

[tex]y=5(x^2-x-6)[/tex]

Distribute:

[tex]y=5x^2-5x-30[/tex]

Our answer is C.

Answer:

5,x6=5

4÷6=6

4=6=8

4=6687554=+÷976555££=6££6/=

Answer:

s² = 0.7965

s = 0.8925

Step-by-step explanation:

Given the data :

Class limit __ midpoint(x) ___ Frequency

2.1 - 2.7 ______2.4 ________13

2.8 - 3.4 ______3.2 _______ 14

3.5 - 4.1 ______ 3.8 _______ 10

4.2 - 4.8 ______4.5 _______ 6

4.9 - 5.5______ 5.2 ________2

5.6 - 6.2______ 5.9 ________ 1

The midpoint was calculated thus :

(Upper limit + lower limit) / 2

Using a graphing calculator :

The sample variance, s² = 0.7965

The sample standard deviation, s = 0.8925

Answer:

The answer is below

Step-by-step explanation:

Given the system of equations:

x + y + 2z = 9

2x + 4y - 3z = 1

3x + 6y - 5z = 0

This system of equation can be solved using matrix. This done by first representing the equations as matrix and then solving:

The matrix form is:

[tex]\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&1&2\\2&4&-3\\3&6&-5\end{array}\right] ^{-1} \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\[/tex]

[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}2&-17&11\\-1&11&-7\\0&3&-2\end{array}\right] \left[\begin{array}{c}9\\1\\0\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1\\2\\3\end{array}\right][/tex]

Answer:

121 yard

Step-by-step explanation:

By differentiating

[tex]y=2.2x-0.01x^{2} \\\\[/tex]

[tex]\frac{dy}{dx} =2.2-0.02x=0\\x=110\\so\\y=2.2*110-0.01*110^{2} =121yard[/tex]

Answer:

C is the answer

to solve this, you just have to multiply the values inside the square roo, and the 6x will be distributed to each values inside the other radical.

Note: You can multiply the radicals because they both have a square root.

The value of the equivalent equation is A = √ ( 6x² + 18x )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first variable be p = √6x

Let the second variable be q = √ ( x + 3 )

Now , the value of A = pq

Substituting the values in the equation , we get

A = √6x [ √ ( x + 3 ) ]

On simplifying the equation , we get

A = √6x ( x + 3 )

A = √ ( 6x² + 18x )

Hence , the equation is A = √ ( 6x² + 18x )

To learn more about equation click :

https://brainly.com/question/19297665

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Answer:

s-1

Step-by-step explanation:

1st side:  s-4

2nd side: s-4+3, which is 's-1'

Answer:

[tex]103.78\:\mathrm{ft}[/tex]

Step-by-step explanation:

We can form a right triangle where the distance between the ranger's current position and fire is the hypotenuse of the triangle. In a right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse.

Therefore, we have:

[tex]\tan 34^{\circ}=\frac{70}{x}[/tex], where [tex]x[/tex] is the distance between the base of the tower and the fire.

Solving, we get:

[tex]x=\frac{70}{\tan 34^{\circ}}=103.779267796\approx \boxed{103.78\:\mathrm{ft}}[/tex]

Answer:

All integers that are below 0 is -1, -4, -2, -8, and -7.

Answer:

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

By the Range Rule of Thumb, if Z < -2, the measure X is significantly low, and if Z > 2, the measure X is significantly high.

Mean of 75.2 beats per minute and a standard deviation of 11.2 beats per minute.

This means that [tex]\mu = 75.2, \sigma = 11.2[/tex]

Is a pulse rate of 147.6 beats per minute significantly low or significantly​ high?

We have to find Z when X = 147.6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{147.6 - 75.2}{11.2}[/tex]

[tex]Z = 6.46[/tex]

The z-score for a pulse rate of 147.6 beats per minute is 6.46 > 2, which means that this pulse rate is significantly high.

Answer:

C = 2(3.14)r

C = (3.14)d

Step-by-step explanation:

Circumference in terms of radius:

[tex]c \: = 2\pi \: r[/tex]

So replacing pi with 3.14 you would get 2(3.14)r

Circumference in terms of diameter:

[tex]c = d\pi[/tex]

So replacing pi with 3.14 you would get d(3.14)

Answer:

132÷3=44 the answer is 44 thanks me later

Answer:

Step-by-step explanation:

x + x^2 = 132

x^2 = 132 - x

x = [tex]\sqrt{132 - x}[/tex]

Answer: 294

Step-by-step explanation:

Given

First layer has 30 Poles

Second layer has 29 Poles

There are twelve layers

It follows an A.P. with first term [tex]a_1=30[/tex] and common difference [tex]d=-1[/tex]

Sum of n terms of an A.P. is

[tex]\Rightarrow S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]

Insert the values

[tex]\Rightarrow S_n=\dfrac{12}{2}[2\times 30+(12-1)(-1)]\\\\\Rightarrow S_n=6[60-11]\\\Rightarrow S_n=294[/tex]

So, there are 294 Poles in 12 layers

Answer:

n=6

Step-by-step explanation:

1/2 n + 3 = 6

Subtract 3 from each side

1/2 n +3-3=6-3

1/2n = 3

Multiply each side by 2

1/2 n * 2 = 3*2

n = 6

Given that,

1/2n + 3 = 6

Now we can subtract 3 from each side,

→ 1/2 n +3-3 = 6-3

→ 1/2n = 3

Now we can multiply each side by 2,

→ 1/2 n × 2 = 3 × 2

→ n = 6

Hence, 6 is the correct answer.

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^2 + 3x - 12}[/tex]

[tex]\mathsf{= 2(5)^2 + 3(5) - 12}[/tex]

[tex]\mathsf{5^2}[/tex]

[tex]\mathsf{= 5 \times 5}[/tex]

[tex]\mathsf{\bf = 25}[/tex]

[tex]\mathsf{2(25) + 3(5) - 12}[/tex]

[tex]\mathsf{2(25)}[/tex]

[tex]\mathsf{= \bf 50}[/tex]

[tex]\mathsf{3(5)}[/tex]

[tex]\mathsf{= \bf 15}[/tex]

[tex]\mathsf{= 50 + 15 - 12}[/tex]

[tex]\mathsf{50 + 15}[/tex]

[tex]\mathsf{= \bf 65}[/tex]

65 - 12

[tex]\mathsf{= \bf 53}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 53}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

3x + 1/4

Step-by-step explanation:

1/2 (6x + 1/2)

Distribute

1/2 * 6x + 1/2 * 1/2

3x + 1/4

Can you please translate it into English?

I don't know what language you're speaking sorry

Answer:

5

Step-by-step explanation:

3-(-2)

the two negative signs cancel out and it turns into

3 + 2

3 + 2 = 5

Answer:

5

Step-by-step explanation:

minus * minus = plus

3-(-2) = 3 + 2 = 5

Answer:

x^2y^2.

Step-by-step explanation: